diff --git a/matlab/.gitignore b/matlab/.gitignore new file mode 100644 index 0000000..3e3461a --- /dev/null +++ b/matlab/.gitignore @@ -0,0 +1 @@ +*.asv diff --git a/matlab/bone_axes.m b/matlab/bone_axes.m new file mode 100644 index 0000000..37a7f03 --- /dev/null +++ b/matlab/bone_axes.m @@ -0,0 +1,85 @@ +function axes = bone_axes(centers) +%BONE_AXES Compute local axes (local to world transform matrix) for each bone +% +% Inputs +% centers: 30 by 1 array of spheres or 30 by 3 double +% +% Outpus +% axes: 18 by 1 array of 4 by 4 double +% + + % Extract sphere centers if needed + if iscell(centers) + tmp = zeros(30, 3); + for i = 1 : 30 + tmp(i, :) = centers{i}.center; + end + centers = tmp; + end + + % Compute axes for each bone + axes = cell(1, 18); + + % Palm + root = centers(26, :) * 0.5 + centers(27, :) * 0.5; + axes{1} = build(root, centers(22, :) - root, centers(25, :) - centers(24, :)); + axes{2} = build(centers(22, :), centers(12, :) - centers(22, :), centers(20, :) - centers(23, :)); + proto = centers(8, :) * 0.5 + centers(23, :) * 0.5; + axes{15} = build(proto, centers(4, :) - proto, centers(8, :) - centers(4, :)); + + % Thumb + % TODO is thumb normal correct? + n_thumb = -finger_normal(centers(20, :), centers(19, :), centers(17, :), centers(16, :)); + axes{3} = build(centers(20, :), centers(19, :) - centers(20, :), n_thumb); + axes{4} = build(centers(19, :), centers(18, :) - centers(19, :), n_thumb); + axes{5} = build(centers(18, :), centers(17, :) - centers(18, :), n_thumb); + + % Index + n_index = -finger_normal(centers(16, :), centers(15, :), centers(13, :), centers(12, :)); + axes{6} = build(centers(16, :), centers(15, :) - centers(16, :), n_index); + axes{7} = build(centers(15, :), centers(14, :) - centers(15, :), n_index); + axes{8} = build(centers(14, :), centers(13, :) - centers(14, :), n_index); + + % Middle + n_middle = -finger_normal(centers(12, :), centers(11, :), centers(9, :), centers(8, :)); + axes{9} = build(centers(12, :), centers(11, :) - centers(12, :), n_middle); + axes{10} = build(centers(11, :), centers(10, :) - centers(11, :), n_middle); + axes{11} = build(centers(10, :), centers(9, :) - centers(10, :), n_middle); + + % Ring + n_ring = -finger_normal(centers(8, :), centers(7, :), centers(5, :), centers(4, :)); + axes{12} = build(centers(8, :), centers(7, :) - centers(8, :), n_ring); + axes{13} = build(centers(7, :), centers(6, :) - centers(7, :), n_ring); + axes{14} = build(centers(6, :), centers(5, :) - centers(6, :), n_ring); + + % Pinky + n_pinky = finger_normal(centers(4, :), centers(1, :), centers(3, :), centers(8, :)); + axes{16} = build(centers(4, :), centers(3, :) - centers(4, :), n_pinky); + axes{17} = build(centers(3, :), centers(2, :) - centers(3, :), n_pinky); + axes{18} = build(centers(2, :), centers(1, :) - centers(2, :), n_pinky); +end + +function normal = finger_normal(u, v, w, x) + uv = normalizerow(v - u); + uw = normalizerow(w - u); + ux = normalizerow(x - u); + n = cross(uw, uv); + l = norm(n); + if l < 0.001 + n = ux; + else + n = n / l; + end + if dot(ux, n) < 0 + n = -n; + end + normal = l * n + (1 - l) * ux; +end + +function axe = build(o, x, y) + x = normalizerow(x); + y = normalizerow(y); + z = normalizerow(cross(x, y)); + y = cross(z, x); + axe = [x', y', z', o'; 0, 0, 0, 1]; +end diff --git a/matlab/bone_local_transforms.m b/matlab/bone_local_transforms.m new file mode 100644 index 0000000..c4e2b82 --- /dev/null +++ b/matlab/bone_local_transforms.m @@ -0,0 +1,23 @@ +function locals = bone_local_transforms(mesh, globals) +%BONE_LOCAL_TRANSFORMS Compute local transforms for each bone +% +% Inputs +% mesh: complete mesh object +% globals: 18 by 1 array of 4 by 4 double returned by bone_axes +% +% Outputs +% locals: 18 by 1 array of 4 by 4 double +% + + locals = cell(size(globals)); + for i = 1 : length(globals) + p = mesh.bones{i}.parent; + if p > 0 + locals{i} = inv(globals{p}) * globals{i}; + else + locals{i} = globals{i}; + end + end + +end + diff --git a/matlab/bone_transforms.m b/matlab/bone_transforms.m new file mode 100644 index 0000000..f4005fb --- /dev/null +++ b/matlab/bone_transforms.m @@ -0,0 +1,74 @@ +function transforms = bone_transforms(mesh, centers, preserve_distances) +%BONE_TRANSFORMS Compute global transforms for each bone +% +% Inputs +% mesh: complete mesh object +% centers: 30 by 1 array of spheres or 30 by 3 double +% preserve_distances: logical or double (default true) +% +% Outputs +% transforms: 18 by 1 array of 4 by 4 double +% + + % Define missing arguments + if nargin < 3 + preserve_distances = true; + end + if strcmp(preserve_distances, 'optimize') + % TODO use optimization to compute ideal transforms + return; + end + if islogical(preserve_distances) + preserve_distances = double(preserve_distances); + end + preserve_distances = clamp(preserve_distances, 0, 1); + + % Compute original and new axes + A = bone_axes(mesh.spheres); + B = bone_axes(centers); + + if preserve_distances > 0 + % TODO need to test this distance preservation + + % Compute delta required to preserve distances + deltas = cell(1, length(mesh.bones)); + for i = 1 : length(mesh.bones) + parent = mesh.bones{i}.parent; + if parent <= 0 + deltas{i} = [0; 0; 0]; + else + distance = norm(A{i}(1 : 3, 4) - A{parent}(1 : 3, 4)); + current = B{i}(1 : 3, 4) - B{parent}(1 : 3, 4); + expected = current * (distance / sqrt(current' * current)); + deltas{i} = expected - current; + end + end + + % Propagate delta to children + done = false(1, length(mesh.bones)); + while ~all(done) + for i = 1 : length(mesh.bones) + parent = mesh.bones{i}.parent; + if parent <= 0 + done(i) = true; + elseif done(parent) + deltas{i} = deltas{i} + deltas{parent}; + done(i) = true; + end + end + end + + % Apply delta + for i = 1 : length(mesh.bones) + B{i}(1 : 3, 4) = B{i}(1 : 3, 4) + preserve_distances * deltas{i}; + end + + end + + % Compute transforms + transforms = cell(1, length(mesh.bones)); + for i = 1 : length(mesh.bones) + transforms{i} = B{i} * inv(A{i}); + end + +end diff --git a/matlab/external/gptoolbox/.gitignore b/matlab/external/gptoolbox/.gitignore new file mode 100644 index 0000000..2d36a6e --- /dev/null +++ b/matlab/external/gptoolbox/.gitignore @@ -0,0 +1,9 @@ +# use glob syntax. +syntax: glob +*.o +*.*.swp +*.a +*~ +.DS_Store +*.mexmaci64 +*.cache.mat diff --git a/matlab/external/gptoolbox/.mailmap b/matlab/external/gptoolbox/.mailmap new file mode 100644 index 0000000..b7ebead --- /dev/null +++ b/matlab/external/gptoolbox/.mailmap @@ -0,0 +1,14 @@ +# +# This list is used by git-shortlog to fix a few botched name translations +# in the libigl archive, either because the author's full name was messed up +# and/or not always written the same way, making contributions from the +# same person appearing not to be so. +# +Alec Jacobson Alec Jacobson (jalec +Alec Jacobson jalec +Alec Jacobson Alec Jacobson +Alec Jacobson ajx +Alec Jacobson mangledorf +Daniele Panozzo Daniele Panozzo +Daniele Panozzo dpanozzo +Olga Diamanti dolga diff --git a/matlab/external/gptoolbox/README.md b/matlab/external/gptoolbox/README.md new file mode 100644 index 0000000..f6e650e --- /dev/null +++ b/matlab/external/gptoolbox/README.md @@ -0,0 +1,119 @@ +gptoolbox - Geometry Processing Toolbox +======================================= + + + +This is a toolbox of useful matlab functions for geometry processing. There are +also tools related to constrainted optimization and image processing. Typically +these are utility functions that are not stand alone applications. + +Here's an incomplete list of cool features this matlab toolbox contains: + +- wrappers for TetGen, Triangle, QSlim, meshfix +- mesh smoothing +- mesh clean up (remove duplicates, remove unreferenced) +- geodesic distances on triangle and tetrahedral meshes +- mesh quantities and queries (normals, discrete gaussian curvature, list + boundary edges, topology, angles, dihedral angles etc.) +- mesh deformation (as-rigid-as-possible (ARAP), moving least-squares, etc.) +- mesh parameterization (harmonic, least squares conformal, ARAP, etc.) +- automatic skinning weight computation (bounded biharmonic weights, bone heat) +- 2D triangle mesh from binary image +- Input/Output for many mesh formats + (.obj,.off,.stl,.wrl,.ply,.mesh,.node,.ele,.poly,.smf,.bdl,.face) +- discrete differential geometry operators for triangle and tetrahedral meshes + (cotangent Laplacian, gradient, divergence) +- quadratic programming, active set solver +- scribble-based image colorization, diffusion curves +- exact (un)signed distance field computation for meshes +- constructive solid geometry operations on meshes, booleans +- accelerated point location in triangle and tetrahedral meshes +- image dithering +- deep matlab function dependency + +The functions have been organized into folders based on their primary +application: + +- external/ +- imageprocessing/ +- images/ +- matrix/ +- mesh/ +- mex/ +- utility/ +- wrappers/ + +## Installation ## +The vast majority of this code is __straight MATLAB__ (`*.m` files). Thus, only +installing MATLAB and adding the qptoolbox directory and its subdirectories to +your MATLAB path is needed for installation: + + addpath(genpath('/absolute/path/to/gptoolbox')) + +To make this change permanent, then issue: + + savepath + +There are some mex files, whose documentation for installation are included in +respective `mex/README.md` file. + +To enable tab completion on gptoolbox's IO functions issue: + + add_gptoolbox_tab_completion + +this takes a second or two (or 30) and then you'll need to restart MATLAB for +it to take effect. + +### Full installation ### + +This strives to be full installation instructions, but will no doubt remain +incomplete for some time. Begin by adding paths as above. + +As stated above, most files are straight matlab and will _just run_ if you have +gptoolbox in your path. + +#### Compile `/mex` #### +Most of our mex files will depend on +[libigl](https://github.com/libigl/libigl). The following will assume your +usign a "standard" unix-y install of libigl as a static library. + +In MATLAB issue: + + cd mex + compile_qptoolbox_mex + +#### Compile `toolbox_fast_marching` #### + +In MATLAB issue: + + cd external/toolbox_fast_marching/ + compile_mex + +## Dependencies ## +This depends on MATLAB and its various toolbox extensions. Many functions +should also work with Octave, though this has not been tested. + +Functions that rely on `quadprog` have been tested and optimized assuming that +the Mosek toolbox has been installed, but should also work with the `quadprog` +in MATLAB's Optimization Toolbox. + +Mex files may have other external dependencies (e.g. CGAL, Eigen, libigl). See +their respective READMEs for more information. + +## License ## +Unless marked otherwise, all code is Copyright Alec Jacobson 2014. + +We will probably switch to a MPL2 license in the near future. + +## Contact ## +The Geometry Processing Toolbox grew out of Alec Jacobson's private codebase +during his PhD, but has benefited a lot from various collaborators at NYU and +ETH Zurich. Now, the Geometry Processing Toolbox is a group endeavour. If +you're intersted in contributing, please contact Alec Jacobson +(alecjacobson@gmail.com) or submit a pull request on github. + +## Documentation ## +For now, documentation is limited to a per-function basis. For example, to find +documentation for `cotmatrix` issue: + + help cotmatrix diff --git a/matlab/external/gptoolbox/RELEASE_HISTORY.txt b/matlab/external/gptoolbox/RELEASE_HISTORY.txt new file mode 100644 index 0000000..ca155f1 --- /dev/null +++ b/matlab/external/gptoolbox/RELEASE_HISTORY.txt @@ -0,0 +1,2 @@ +0.1.1 Cleaned up organization, removed some useless functions, added external + fast marching geodesic distance dependency. diff --git a/matlab/external/gptoolbox/TODO.todo b/matlab/external/gptoolbox/TODO.todo new file mode 100644 index 0000000..5b54045 --- /dev/null +++ b/matlab/external/gptoolbox/TODO.todo @@ -0,0 +1,3 @@ +# New Entries up here +- merge normalsvertex, per_vertex_normals and have optional for angle vs. area + vs. uniform weighting diff --git a/matlab/external/gptoolbox/external/README.md b/matlab/external/gptoolbox/external/README.md new file mode 100644 index 0000000..757a653 --- /dev/null +++ b/matlab/external/gptoolbox/external/README.md @@ -0,0 +1,12 @@ +This directory contains matlab functions written by others, which may be under +their own licenses. + +To reduce clutter, licenses are listed in the comments beneath single file +programs. + +Filenames should be original. If prototypes or filenames are strange, write a +wrapper and place in ../matrix, ../mesh, etc. where appropriate. + +Some files are patched to work correctly or have more features, so careful when +updating: use diff. + diff --git a/matlab/external/gptoolbox/external/affine_fit.m b/matlab/external/gptoolbox/external/affine_fit.m new file mode 100644 index 0000000..fa8ee99 --- /dev/null +++ b/matlab/external/gptoolbox/external/affine_fit.m @@ -0,0 +1,59 @@ +function [n,V,p] = affine_fit(X,W) + %Computes the plane that fits best (lest square of the normal distance + %to the plane) a set of sample points. + %INPUTS: + % + %X: a N by 3 matrix where each line is a sample point + % + %OUTPUTS: + % + %n : a unit (column) vector normal to the plane + %V : a 3 by 2 matrix. The columns of V form an orthonormal basis of the + %plane + %p : a point belonging to the plane + % + %NB: this code actually works in any dimension (2,3,4,...) + %Author: Adrien Leygue + %Date: August 30 2013 + + if nargin<2 + W = 1/size(X,1)*ones(size(X,1),1); + end + W = W(:)./sum(W); + + %the mean of the samples belongs to the plane + p = sum(bsxfun(@times,W,X)); + + %The samples are reduced: + R = bsxfun(@times,bsxfun(@minus,X,p),W); + %Computation of the principal directions if the samples cloud + [V,D] = eig(R'*R); + %Extract the output from the eigenvectors + n = V(:,1); + V = V(:,2:end); +end + +% Copyright (c) 2013, Adrien Leygue +% All rights reserved. +% +% Redistribution and use in source and binary forms, with or without +% modification, are permitted provided that the following conditions are +% met: +% +% * Redistributions of source code must retain the above copyright +% notice, this list of conditions and the following disclaimer. +% * Redistributions in binary form must reproduce the above copyright +% notice, this list of conditions and the following disclaimer in +% the documentation and/or other materials provided with the distribution +% +% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +% AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +% IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +% ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE +% LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +% CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +% SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +% INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +% CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +% ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +% POSSIBILITY OF SUCH DAMAGE. diff --git a/matlab/external/gptoolbox/external/cmyk2rgb.m b/matlab/external/gptoolbox/external/cmyk2rgb.m new file mode 100644 index 0000000..77b227f --- /dev/null +++ b/matlab/external/gptoolbox/external/cmyk2rgb.m @@ -0,0 +1,3 @@ +function rgb = cmyk2rgb(cmyk) + rgb = applycform(cmyk,makecform('cmyk2srgb')); +end diff --git a/matlab/external/gptoolbox/external/combn.m b/matlab/external/gptoolbox/external/combn.m new file mode 100644 index 0000000..d0dd9e0 --- /dev/null +++ b/matlab/external/gptoolbox/external/combn.m @@ -0,0 +1,159 @@ +function [M,IND] = combn(V,N) +% COMBN - all combinations of elements +% M = COMBN(V,N) returns all combinations of N elements of the elements in +% vector V. M has the size (length(V).^N)-by-N. +% +% [M,I] = COMBN(V,N) also returns the index matrix I so that M = V(I). +% +% V can be an array of numbers, cells or strings. +% +% Example: +% M = COMBN([0 1],3) returns the 8-by-3 matrix: +% 0 0 0 +% 0 0 1 +% 0 1 0 +% 0 1 1 +% ... +% 1 1 1 +% +% All elements in V are regarded as unique, so M = COMBN([2 2],3) returns +% a 8-by-3 matrix with all elements equal to 2. +% +% NB Matrix sizes increases exponentially at rate (n^N)*N. For larger +% values of n and N, one could loop over the output of COMBNSUB +% retrieving one or more rows of the output at a single time. +% +% See also PERMS, NCHOOSEK +% and COMBNSUB, ALLCOMB, and PERMPOS on the File Exchange + +% tested in Matlab R13, R14, 2010b +% version 4.3 (apr 2013) +% (c) Jos van der Geest +% email: jos@jasen.nl + +% History +% 1.1 updated help text +% 2.0 new faster algorithm +% 3.0 (aug 2006) implemented very fast algorithm +% 3.1 (may 2007) Improved algorithm Roger Stafford pointed out that for some values, the floor +% operation on floating points, according to the IEEE 754 standard, could return +% erroneous values. His excellent solution was to add (1/2) to the values +% of A. +% 3.2 (may 2007) changed help and error messages slightly +% 4.0 (may 2008) again a faster implementation, based on ALLCOMB, suggested on the +% newsgroup comp.soft-sys.matlab on May 7th 2008 by "Helper". It was +% pointed out that COMBN(V,N) equals ALLCOMB(V,V,V...) (V repeated N +% times), ALLCMOB being faster. Actually version 4 is an improvement +% over version 1 ... +% 4.1 (jan 2010) removed call to FLIPLR, using refered indexing N:-1:1 +% (is faster, suggestion of Jan Simon, jan 2010), removed REPMAT, and +% let NDGRID handle this +% 4.2 (apr 2011) corrrectly return a column vector for N = 1 (error pointed +% out by Wilson). +% 4.3 (apr 2013) make a reference to COMBNSUB + +error(nargchk(2,2,nargin)) ; + +if isempty(V) || N == 0, + M = [] ; + IND = [] ; +elseif fix(N) ~= N || N < 1 || numel(N) ~= 1 ; + error('combn:negativeN','Second argument should be a positive integer') ; +elseif N==1, + % return column vectors + M = V(:) ; + IND = (1:numel(V)).' ; +else + % speed depends on the number of output arguments + if nargout<2, + M = local_allcomb(V,N) ; + else + % indices requested + IND = local_allcomb(1:numel(V),N) ; + M = V(IND) ; + end +end + +% LOCAL FUNCTIONS + +function Y = local_allcomb(X,N) +% See ALLCOMB, available on the File Exchange +if N>1 + % create a list of all possible combinations of N elements + [Y{N:-1:1}] = ndgrid(X) ; + % concatenate into one matrix, reshape into 2D and flip columns + Y = reshape(cat(N+1,Y{:}),[],N) ; +else + % no combinations have to be made + Y = X(:) ; +end + +% ========================================================================= +% Previous algorithms + + +% Version 3.2 +% % COMBN is very fast using a single matrix multiplication, without any +% explicit for-loops. +% nV = numel(V) ; +% % use a math trick +% A = [0:nV^N-1]+(1/2) ; +% B = [nV.^(1-N:0)] ; +% IND = rem(floor((A(:) * B(:)')),nV) + 1 ; +% M = V(IND) ; + +% Version 2.0 +% for i = N:-1:1 +% X = repmat(1:nV,nV^(N-i),nV^(i-1)); +% IND(:,i) = X(:); +% end +% M = V(IND) ; + +% Version 1.0 +% nV = numel(V) ; +% % don waste space, if only one output is requested +% [IND{1:N}] = ndgrid(1:nV) ; +% IND = fliplr(reshape(cat(ndims(IND{1}),IND{:}),[],N)) ; +% M = V(IND) ; + + +% Combinations using for-loops +% can be implemented in C or VB +% nv = length(V) ; +% C = zeros(nv^N,N) ; % declaration +% for ii=1:N, +% cc = 1 ; +% for jj=1:(nv^(ii-1)), +% for kk=1:nv, +% for mm=1:(nv^(N-ii)), +% C(cc,ii) = V(kk) ; +% cc = cc + 1 ; +% end +% end +% end +% end + +% Copyright (c) 2009, Jos van der Geest +% All rights reserved. +% +% Redistribution and use in source and binary forms, with or without +% modification, are permitted provided that the following conditions are +% met: +% +% * Redistributions of source code must retain the above copyright +% notice, this list of conditions and the following disclaimer. +% * Redistributions in binary form must reproduce the above copyright +% notice, this list of conditions and the following disclaimer in +% the documentation and/or other materials provided with the distribution +% +% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +% AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +% IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +% ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE +% LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +% CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +% SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +% INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +% CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +% ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +% POSSIBILITY OF SUCH DAMAGE. diff --git a/matlab/external/gptoolbox/external/cprintf.m b/matlab/external/gptoolbox/external/cprintf.m new file mode 100644 index 0000000..0540060 --- /dev/null +++ b/matlab/external/gptoolbox/external/cprintf.m @@ -0,0 +1,579 @@ +function count = cprintf(style,format,varargin) +% CPRINTF displays styled formatted text in the Command Window +% +% Syntax: +% count = cprintf(style,format,...) +% +% Description: +% CPRINTF processes the specified text using the exact same FORMAT +% arguments accepted by the built-in SPRINTF and FPRINTF functions. +% +% CPRINTF then displays the text in the Command Window using the +% specified STYLE argument. The accepted styles are those used for +% Matlab's syntax highlighting (see: File / Preferences / Colors / +% M-file Syntax Highlighting Colors), and also user-defined colors. +% +% The possible pre-defined STYLE names are: +% +% 'Text' - default: black +% 'Keywords' - default: blue +% 'Comments' - default: green +% 'Strings' - default: purple +% 'UnterminatedStrings' - default: dark red +% 'SystemCommands' - default: orange +% 'Errors' - default: light red +% 'Hyperlinks' - default: underlined blue +% +% 'Black','Cyan','Magenta','Blue','Green','Red','Yellow','White' +% +% STYLE beginning with '-' or '_' will be underlined. For example: +% '-Blue' is underlined blue, like 'Hyperlinks'; +% '_Comments' is underlined green etc. +% +% STYLE beginning with '*' will be bold (R2011b+ only). For example: +% '*Blue' is bold blue; +% '*Comments' is bold green etc. +% Note: Matlab does not currently support both bold and underline, +% only one of them can be used in a single cprintf command. But of +% course bold and underline can be mixed by using separate commands. +% +% STYLE also accepts a regular Matlab RGB vector, that can be underlined +% and bolded: -[0,1,1] means underlined cyan, '*[1,0,0]' is bold red. +% +% STYLE is case-insensitive and accepts unique partial strings just +% like handle property names. +% +% CPRINTF by itself, without any input parameters, displays a demo +% +% Example: +% cprintf; % displays the demo +% cprintf('text', 'regular black text'); +% cprintf('hyper', 'followed %s','by'); +% cprintf('key', '%d colored', 4); +% cprintf('-comment','& underlined'); +% cprintf('err', 'elements\n'); +% cprintf('cyan', 'cyan'); +% cprintf('_green', 'underlined green'); +% cprintf(-[1,0,1], 'underlined magenta'); +% cprintf([1,0.5,0],'and multi-\nline orange\n'); +% cprintf('*blue', 'and *bold* (R2011b+ only)\n'); +% cprintf('string'); % same as fprintf('string') and cprintf('text','string') +% +% Bugs and suggestions: +% Please send to Yair Altman (altmany at gmail dot com) +% +% Warning: +% This code heavily relies on undocumented and unsupported Matlab +% functionality. It works on Matlab 7+, but use at your own risk! +% +% A technical description of the implementation can be found at: +% http://UndocumentedMatlab.com/blog/cprintf/ +% +% Limitations: +% 1. In R2011a and earlier, a single space char is inserted at the +% beginning of each CPRINTF text segment (this is ok in R2011b+). +% +% 2. In R2011a and earlier, consecutive differently-colored multi-line +% CPRINTFs sometimes display incorrectly on the bottom line. +% As far as I could tell this is due to a Matlab bug. Examples: +% >> cprintf('-str','under\nline'); cprintf('err','red\n'); % hidden 'red', unhidden '_' +% >> cprintf('str','regu\nlar'); cprintf('err','red\n'); % underline red (not purple) 'lar' +% +% 3. Sometimes, non newline ('\n')-terminated segments display unstyled +% (black) when the command prompt chevron ('>>') regains focus on the +% continuation of that line (I can't pinpoint when this happens). +% To fix this, simply newline-terminate all command-prompt messages. +% +% 4. In R2011b and later, the above errors appear to be fixed. However, +% the last character of an underlined segment is not underlined for +% some unknown reason (add an extra space character to make it look better) +% +% 5. In old Matlab versions (e.g., Matlab 7.1 R14), multi-line styles +% only affect the first line. Single-line styles work as expected. +% R14 also appends a single space after underlined segments. +% +% 6. Bold style is only supported on R2011b+, and cannot also be underlined. +% +% Change log: +% 2012-08-09: Graceful degradation support for deployed (compiled) and non-desktop applications; minor bug fixes +% 2012-08-06: Fixes for R2012b; added bold style; accept RGB string (non-numeric) style +% 2011-11-27: Fixes for R2011b +% 2011-08-29: Fix by Danilo (FEX comment) for non-default text colors +% 2011-03-04: Performance improvement +% 2010-06-27: Fix for R2010a/b; fixed edge case reported by Sharron; CPRINTF with no args runs the demo +% 2009-09-28: Fixed edge-case problem reported by Swagat K +% 2009-05-28: corrected nargout behavior sugegsted by Andreas Gäb +% 2009-05-13: First version posted on MathWorks File Exchange +% +% See also: +% sprintf, fprintf + +% License to use and modify this code is granted freely to all interested, as long as the original author is +% referenced and attributed as such. The original author maintains the right to be solely associated with this work. + +% Programmed and Copyright by Yair M. Altman: altmany(at)gmail.com +% $Revision: 1.08 $ $Date: 2012/10/17 21:41:09 $ + + persistent majorVersion minorVersion + if isempty(majorVersion) + %v = version; if str2double(v(1:3)) <= 7.1 + %majorVersion = str2double(regexprep(version,'^(\d+).*','$1')); + %minorVersion = str2double(regexprep(version,'^\d+\.(\d+).*','$1')); + %[a,b,c,d,versionIdStrs]=regexp(version,'^(\d+)\.(\d+).*'); %#ok unused + v = sscanf(version, '%d.', 2); + majorVersion = v(1); %str2double(versionIdStrs{1}{1}); + minorVersion = v(2); %str2double(versionIdStrs{1}{2}); + end + + % The following is for debug use only: + %global docElement txt el + if ~exist('el','var') || isempty(el), el=handle([]); end %#ok mlint short-circuit error ("used before defined") + if nargin<1, showDemo(majorVersion,minorVersion); return; end + if isempty(style), return; end + if all(ishandle(style)) && length(style)~=3 + dumpElement(style); + return; + end + + % Process the text string + if nargin<2, format = style; style='text'; end + %error(nargchk(2, inf, nargin, 'struct')); + %str = sprintf(format,varargin{:}); + + % In compiled mode + try useDesktop = usejava('desktop'); catch, useDesktop = false; end + if isdeployed | ~useDesktop %#ok - for Matlab 6 compatibility + % do not display any formatting - use simple fprintf() + % See: http://undocumentedmatlab.com/blog/bold-color-text-in-the-command-window/#comment-103035 + % Also see: https://mail.google.com/mail/u/0/?ui=2&shva=1#all/1390a26e7ef4aa4d + % Also see: https://mail.google.com/mail/u/0/?ui=2&shva=1#all/13a6ed3223333b21 + count1 = fprintf(format,varargin{:}); + else + % Else (Matlab desktop mode) + % Get the normalized style name and underlining flag + [underlineFlag, boldFlag, style] = processStyleInfo(style); + + % Set hyperlinking, if so requested + if underlineFlag + format = ['' format '']; + + % Matlab 7.1 R14 (possibly a few newer versions as well?) + % have a bug in rendering consecutive hyperlinks + % This is fixed by appending a single non-linked space + if majorVersion < 7 || (majorVersion==7 && minorVersion <= 1) + format(end+1) = ' '; + end + end + + % Set bold, if requested and supported (R2011b+) + if boldFlag + if (majorVersion > 7 || minorVersion >= 13) + format = ['' format '']; + else + boldFlag = 0; + end + end + + % Get the current CW position + cmdWinDoc = com.mathworks.mde.cmdwin.CmdWinDocument.getInstance; + lastPos = cmdWinDoc.getLength; + + % If not beginning of line + bolFlag = 0; %#ok + %if docElement.getEndOffset - docElement.getStartOffset > 1 + % Display a hyperlink element in order to force element separation + % (otherwise adjacent elements on the same line will be merged) + if majorVersion<7 || (majorVersion==7 && minorVersion<13) + if ~underlineFlag + fprintf(' '); %fprintf(' \b'); + elseif format(end)~=10 % if no newline at end + fprintf(' '); %fprintf(' \b'); + end + end + %drawnow; + bolFlag = 1; + %end + + % Get a handle to the Command Window component + mde = com.mathworks.mde.desk.MLDesktop.getInstance; + cw = mde.getClient('Command Window'); + xCmdWndView = cw.getComponent(0).getViewport.getComponent(0); + + % Store the CW background color as a special color pref + % This way, if the CW bg color changes (via File/Preferences), + % it will also affect existing rendered strs + com.mathworks.services.Prefs.setColorPref('CW_BG_Color',xCmdWndView.getBackground); + + % Display the text in the Command Window + count1 = fprintf(2,format,varargin{:}); + + %awtinvoke(cmdWinDoc,'remove',lastPos,1); % TODO: find out how to remove the extra '_' + drawnow; % this is necessary for the following to work properly (refer to Evgeny Pr in FEX comment 16/1/2011) + docElement = cmdWinDoc.getParagraphElement(lastPos+1); + if majorVersion<7 || (majorVersion==7 && minorVersion<13) + if bolFlag && ~underlineFlag + % Set the leading hyperlink space character ('_') to the bg color, effectively hiding it + % Note: old Matlab versions have a bug in hyperlinks that need to be accounted for... + %disp(' '); dumpElement(docElement) + setElementStyle(docElement,'CW_BG_Color',1+underlineFlag,majorVersion,minorVersion); %+getUrlsFix(docElement)); + %disp(' '); dumpElement(docElement) + el(end+1) = handle(docElement); %#ok used in debug only + end + + % Fix a problem with some hidden hyperlinks becoming unhidden... + fixHyperlink(docElement); + %dumpElement(docElement); + end + + % Get the Document Element(s) corresponding to the latest fprintf operation + while docElement.getStartOffset < cmdWinDoc.getLength + % Set the element style according to the current style + %disp(' '); dumpElement(docElement) + specialFlag = underlineFlag | boldFlag; + setElementStyle(docElement,style,specialFlag,majorVersion,minorVersion); + %disp(' '); dumpElement(docElement) + docElement2 = cmdWinDoc.getParagraphElement(docElement.getEndOffset+1); + if isequal(docElement,docElement2), break; end + docElement = docElement2; + %disp(' '); dumpElement(docElement) + end + + % Force a Command-Window repaint + % Note: this is important in case the rendered str was not '\n'-terminated + xCmdWndView.repaint; + + % The following is for debug use only: + el(end+1) = handle(docElement); %#ok used in debug only + %elementStart = docElement.getStartOffset; + %elementLength = docElement.getEndOffset - elementStart; + %txt = cmdWinDoc.getText(elementStart,elementLength); + end + + if nargout + count = count1; + end + return; % debug breakpoint + +% Process the requested style information +function [underlineFlag,boldFlag,style] = processStyleInfo(style) + underlineFlag = 0; + boldFlag = 0; + + % First, strip out the underline/bold markers + if ischar(style) + % Styles containing '-' or '_' should be underlined (using a no-target hyperlink hack) + %if style(1)=='-' + underlineIdx = (style=='-') | (style=='_'); + if any(underlineIdx) + underlineFlag = 1; + %style = style(2:end); + style = style(~underlineIdx); + end + + % Check for bold style (only if not underlined) + boldIdx = (style=='*'); + if any(boldIdx) + boldFlag = 1; + style = style(~boldIdx); + end + if underlineFlag && boldFlag + warning('YMA:cprintf:BoldUnderline','Matlab does not support both bold & underline') + end + + % Check if the remaining style sting is a numeric vector + %styleNum = str2num(style); %#ok % not good because style='text' is evaled! + %if ~isempty(styleNum) + if any(style==' ' | style==',' | style==';') + style = str2num(style); %#ok + end + end + + % Style = valid matlab RGB vector + if isnumeric(style) && length(style)==3 && all(style<=1) && all(abs(style)>=0) + if any(style<0) + underlineFlag = 1; + style = abs(style); + end + style = getColorStyle(style); + + elseif ~ischar(style) + error('YMA:cprintf:InvalidStyle','Invalid style - see help section for a list of valid style values') + + % Style name + else + % Try case-insensitive partial/full match with the accepted style names + validStyles = {'Text','Keywords','Comments','Strings','UnterminatedStrings','SystemCommands','Errors', ... + 'Black','Cyan','Magenta','Blue','Green','Red','Yellow','White', ... + 'Hyperlinks'}; + matches = find(strncmpi(style,validStyles,length(style))); + + % No match - error + if isempty(matches) + error('YMA:cprintf:InvalidStyle','Invalid style - see help section for a list of valid style values') + + % Too many matches (ambiguous) - error + elseif length(matches) > 1 + error('YMA:cprintf:AmbigStyle','Ambiguous style name - supply extra characters for uniqueness') + + % Regular text + elseif matches == 1 + style = 'ColorsText'; % fixed by Danilo, 29/8/2011 + + % Highlight preference style name + elseif matches < 8 + style = ['Colors_M_' validStyles{matches}]; + + % Color name + elseif matches < length(validStyles) + colors = [0,0,0; 0,1,1; 1,0,1; 0,0,1; 0,1,0; 1,0,0; 1,1,0; 1,1,1]; + requestedColor = colors(matches-7,:); + style = getColorStyle(requestedColor); + + % Hyperlink + else + style = 'Colors_HTML_HTMLLinks'; % CWLink + underlineFlag = 1; + end + end + +% Convert a Matlab RGB vector into a known style name (e.g., '[255,37,0]') +function styleName = getColorStyle(rgb) + intColor = int32(rgb*255); + javaColor = java.awt.Color(intColor(1), intColor(2), intColor(3)); + styleName = sprintf('[%d,%d,%d]',intColor); + com.mathworks.services.Prefs.setColorPref(styleName,javaColor); + +% Fix a bug in some Matlab versions, where the number of URL segments +% is larger than the number of style segments in a doc element +function delta = getUrlsFix(docElement) %#ok currently unused + tokens = docElement.getAttribute('SyntaxTokens'); + links = docElement.getAttribute('LinkStartTokens'); + if length(links) > length(tokens(1)) + delta = length(links) > length(tokens(1)); + else + delta = 0; + end + +% fprintf(2,str) causes all previous '_'s in the line to become red - fix this +function fixHyperlink(docElement) + try + tokens = docElement.getAttribute('SyntaxTokens'); + urls = docElement.getAttribute('HtmlLink'); + urls = urls(2); + links = docElement.getAttribute('LinkStartTokens'); + offsets = tokens(1); + styles = tokens(2); + doc = docElement.getDocument; + + % Loop over all segments in this docElement + for idx = 1 : length(offsets)-1 + % If this is a hyperlink with no URL target and starts with ' ' and is collored as an error (red)... + if strcmp(styles(idx).char,'Colors_M_Errors') + character = char(doc.getText(offsets(idx)+docElement.getStartOffset,1)); + if strcmp(character,' ') + if isempty(urls(idx)) && links(idx)==0 + % Revert the style color to the CW background color (i.e., hide it!) + styles(idx) = java.lang.String('CW_BG_Color'); + end + end + end + end + catch + % never mind... + end + +% Set an element to a particular style (color) +function setElementStyle(docElement,style,specialFlag, majorVersion,minorVersion) + %global tokens links urls urlTargets % for debug only + global oldStyles + if nargin<3, specialFlag=0; end + % Set the last Element token to the requested style: + % Colors: + tokens = docElement.getAttribute('SyntaxTokens'); + try + styles = tokens(2); + oldStyles{end+1} = styles.cell; + + % Correct edge case problem + extraInd = double(majorVersion>7 || (majorVersion==7 && minorVersion>=13)); % =0 for R2011a-, =1 for R2011b+ + %{ + if ~strcmp('CWLink',char(styles(end-hyperlinkFlag))) && ... + strcmp('CWLink',char(styles(end-hyperlinkFlag-1))) + extraInd = 0;%1; + end + hyperlinkFlag = ~isempty(strmatch('CWLink',tokens(2))); + hyperlinkFlag = 0 + any(cellfun(@(c)(~isempty(c)&&strcmp(c,'CWLink')),tokens(2).cell)); + %} + + styles(end-extraInd) = java.lang.String(''); + styles(end-extraInd-specialFlag) = java.lang.String(style); %#ok apparently unused but in reality used by Java + if extraInd + styles(end-specialFlag) = java.lang.String(style); + end + + oldStyles{end} = [oldStyles{end} styles.cell]; + catch + % never mind for now + end + + % Underlines (hyperlinks): + %{ + links = docElement.getAttribute('LinkStartTokens'); + if isempty(links) + %docElement.addAttribute('LinkStartTokens',repmat(int32(-1),length(tokens(2)),1)); + else + %TODO: remove hyperlink by setting the value to -1 + end + %} + + % Correct empty URLs to be un-hyperlinkable (only underlined) + urls = docElement.getAttribute('HtmlLink'); + if ~isempty(urls) + urlTargets = urls(2); + for urlIdx = 1 : length(urlTargets) + try + if urlTargets(urlIdx).length < 1 + urlTargets(urlIdx) = []; % '' => [] + end + catch + % never mind... + a=1; %#ok used for debug breakpoint... + end + end + end + + % Bold: (currently unused because we cannot modify this immutable int32 numeric array) + %{ + try + %hasBold = docElement.isDefined('BoldStartTokens'); + bolds = docElement.getAttribute('BoldStartTokens'); + if ~isempty(bolds) + %docElement.addAttribute('BoldStartTokens',repmat(int32(1),length(bolds),1)); + end + catch + % never mind - ignore... + a=1; %#ok used for debug breakpoint... + end + %} + + return; % debug breakpoint + +% Display information about element(s) +function dumpElement(docElements) + %return; + numElements = length(docElements); + cmdWinDoc = docElements(1).getDocument; + for elementIdx = 1 : numElements + if numElements > 1, fprintf('Element #%d:\n',elementIdx); end + docElement = docElements(elementIdx); + if ~isjava(docElement), docElement = docElement.java; end + %docElement.dump(java.lang.System.out,1) + disp(' '); + disp(docElement) + tokens = docElement.getAttribute('SyntaxTokens'); + if isempty(tokens), continue; end + links = docElement.getAttribute('LinkStartTokens'); + urls = docElement.getAttribute('HtmlLink'); + try bolds = docElement.getAttribute('BoldStartTokens'); catch, bolds = []; end + txt = {}; + tokenLengths = tokens(1); + for tokenIdx = 1 : length(tokenLengths)-1 + tokenLength = diff(tokenLengths(tokenIdx+[0,1])); + if (tokenLength < 0) + tokenLength = docElement.getEndOffset - docElement.getStartOffset - tokenLengths(tokenIdx); + end + txt{tokenIdx} = cmdWinDoc.getText(docElement.getStartOffset+tokenLengths(tokenIdx),tokenLength).char; %#ok + end + lastTokenStartOffset = docElement.getStartOffset + tokenLengths(end); + txt{end+1} = cmdWinDoc.getText(lastTokenStartOffset, docElement.getEndOffset-lastTokenStartOffset).char; %#ok + %cmdWinDoc.uiinspect + %docElement.uiinspect + txt = strrep(txt',sprintf('\n'),'\n'); + try + data = [tokens(2).cell m2c(tokens(1)) m2c(links) m2c(urls(1)) cell(urls(2)) m2c(bolds) txt]; + if elementIdx==1 + disp(' SyntaxTokens(2,1) - LinkStartTokens - HtmlLink(1,2) - BoldStartTokens - txt'); + disp(' =============================================================================='); + end + catch + try + data = [tokens(2).cell m2c(tokens(1)) m2c(links) txt]; + catch + disp([tokens(2).cell m2c(tokens(1)) txt]); + try + data = [m2c(links) m2c(urls(1)) cell(urls(2))]; + catch + % Mtlab 7.1 only has urls(1)... + data = [m2c(links) urls.cell]; + end + end + end + disp(data) + end + +% Utility function to convert matrix => cell +function cells = m2c(data) + %datasize = size(data); cells = mat2cell(data,ones(1,datasize(1)),ones(1,datasize(2))); + cells = num2cell(data); + +% Display the help and demo +function showDemo(majorVersion,minorVersion) + fprintf('cprintf displays formatted text in the Command Window.\n\n'); + fprintf('Syntax: count = cprintf(style,format,...); click here for details.\n\n'); + url = 'http://UndocumentedMatlab.com/blog/cprintf/'; + fprintf(['Technical description: ' url '\n\n']); + fprintf('Demo:\n\n'); + boldFlag = majorVersion>7 || (majorVersion==7 && minorVersion>=13); + s = ['cprintf(''text'', ''regular black text'');' 10 ... + 'cprintf(''hyper'', ''followed %s'',''by'');' 10 ... + 'cprintf(''key'', ''%d colored'',' num2str(4+boldFlag) ');' 10 ... + 'cprintf(''-comment'',''& underlined'');' 10 ... + 'cprintf(''err'', ''elements:\n'');' 10 ... + 'cprintf(''cyan'', ''cyan'');' 10 ... + 'cprintf(''_green'', ''underlined green'');' 10 ... + 'cprintf(-[1,0,1], ''underlined magenta'');' 10 ... + 'cprintf([1,0.5,0], ''and multi-\nline orange\n'');' 10]; + if boldFlag + % In R2011b+ the internal bug that causes the need for an extra space + % is apparently fixed, so we must insert the sparator spaces manually... + % On the other hand, 2011b enables *bold* format + s = [s 'cprintf(''*blue'', ''and *bold* (R2011b+ only)\n'');' 10]; + s = strrep(s, ''')',' '')'); + s = strrep(s, ''',5)',' '',5)'); + s = strrep(s, '\n ','\n'); + end + disp(s); + eval(s); + + +%%%%%%%%%%%%%%%%%%%%%%%%%% TODO %%%%%%%%%%%%%%%%%%%%%%%%% +% - Fix: Remove leading space char (hidden underline '_') +% - Fix: Find workaround for multi-line quirks/limitations +% - Fix: Non-\n-terminated segments are displayed as black +% - Fix: Check whether the hyperlink fix for 7.1 is also needed on 7.2 etc. +% - Enh: Add font support + +% Copyright (c) 2009, Yair Altman +% All rights reserved. +% +% Redistribution and use in source and binary forms, with or without +% modification, are permitted provided that the following conditions are +% met: +% +% * Redistributions of source code must retain the above copyright +% notice, this list of conditions and the following disclaimer. +% * Redistributions in binary form must reproduce the above copyright +% notice, this list of conditions and the following disclaimer in +% the documentation and/or other materials provided with the distribution +% +% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +% AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +% IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +% ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE +% LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +% CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +% SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +% INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +% CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +% ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +% POSSIBILITY OF SUCH DAMAGE. diff --git a/matlab/external/gptoolbox/external/dpsimplify.m b/matlab/external/gptoolbox/external/dpsimplify.m new file mode 100644 index 0000000..36c7ac8 --- /dev/null +++ b/matlab/external/gptoolbox/external/dpsimplify.m @@ -0,0 +1,268 @@ +function [ps,ix] = dpsimplify(p,tol) + +% Recursive Douglas-Peucker Polyline Simplification, Simplify +% +% [ps,ix] = dpsimplify(p,tol) +% +% dpsimplify uses the recursive Douglas-Peucker line simplification +% algorithm to reduce the number of vertices in a piecewise linear curve +% according to a specified tolerance. The algorithm is also know as +% Iterative Endpoint Fit. It works also for polylines and polygons +% in higher dimensions. +% +% In case of nans (missing vertex coordinates) dpsimplify assumes that +% nans separate polylines. As such, dpsimplify treats each line +% separately. +% +% For additional information on the algorithm follow this link +% http://en.wikipedia.org/wiki/Ramer-Douglas-Peucker_algorithm +% +% Input arguments +% +% p polyline n*d matrix with n vertices in d +% dimensions. +% tol tolerance (maximal euclidean distance allowed +% between the new line and a vertex) +% +% Output arguments +% +% ps simplified line +% ix linear index of the vertices retained in p (ps = p(ix)) +% +% Examples +% +% 1. Simplify line +% +% tol = 1; +% x = 1:0.1:8*pi; +% y = sin(x) + randn(size(x))*0.1; +% p = [x' y']; +% ps = dpsimplify(p,tol); +% +% plot(p(:,1),p(:,2),'k') +% hold on +% plot(ps(:,1),ps(:,2),'r','LineWidth',2); +% legend('original polyline','simplified') +% +% 2. Reduce polyline so that only knickpoints remain by +% choosing a very low tolerance +% +% p = [(1:10)' [1 2 3 2 4 6 7 8 5 2]']; +% p2 = dpsimplify(p,eps); +% plot(p(:,1),p(:,2),'k+--') +% hold on +% plot(p2(:,1),p2(:,2),'ro','MarkerSize',10); +% legend('original line','knickpoints') +% +% 3. Simplify a 3d-curve +% +% x = sin(1:0.01:20)'; +% y = cos(1:0.01:20)'; +% z = x.*y.*(1:0.01:20)'; +% ps = dpsimplify([x y z],0.1); +% plot3(x,y,z); +% hold on +% plot3(ps(:,1),ps(:,2),ps(:,3),'k*-'); +% +% +% +% Author: Wolfgang Schwanghart, 13. July, 2010. +% w.schwanghart[at]unibas.ch + + +if nargin == 0 + help dpsimplify + return +end + +error(nargchk(2, 2, nargin)) + +% error checking +if ~isscalar(tol) || tol<0; + error('tol must be a positive scalar') +end + + +% nr of dimensions +nrvertices = size(p,1); +dims = size(p,2); + +% anonymous function for starting point and end point comparision +% using a relative tolerance test +compare = @(a,b) abs(a-b)/max(abs(a),abs(b)) <= eps; + +% what happens, when there are NaNs? +% NaNs divide polylines. +Inan = any(isnan(p),2); +% any NaN at all? +Inanp = any(Inan); + +% if there is only one vertex +if nrvertices == 1 || isempty(p); + ps = p; + ix = 1; + +% if there are two +elseif nrvertices == 2 && ~Inanp; + % when the line has no vertices (except end and start point of the + % line) check if the distance between both is less than the tolerance. + % If so, return the center. + if dims == 2; + d = hypot(p(1,1)-p(2,1),p(1,2)-p(2,2)); + else + d = sqrt(sum((p(1,:)-p(2,:)).^2)); + end + + if d <= tol; + ps = sum(p,1)/2; + ix = 1; + else + ps = p; + ix = [1;2]; + end + +elseif Inanp; + + % case: there are nans in the p array + % --> find start and end indices of contiguous non-nan data + Inan = ~Inan; + sIX = strfind(Inan',[0 1])' + 1; + eIX = strfind(Inan',[1 0])'; + + if Inan(end)==true; + eIX = [eIX;nrvertices]; + end + + if Inan(1); + sIX = [1;sIX]; + end + + % calculate length of non-nan components + lIX = eIX-sIX+1; + % put each component into a single cell + c = mat2cell(p(Inan,:),lIX,dims); + + % now call dpsimplify again inside cellfun. + if nargout == 2; + [ps,ix] = cellfun(@(x) dpsimplify(x,tol),c,'uniformoutput',false); + ix = cellfun(@(x,six) x+six-1,ix,num2cell(sIX),'uniformoutput',false); + else + ps = cellfun(@(x) dpsimplify(x,tol),c,'uniformoutput',false); + end + + % write the data from a cell array back to a matrix + ps = cellfun(@(x) [x;nan(1,dims)],ps,'uniformoutput',false); + ps = cell2mat(ps); + ps(end,:) = []; + + % ix wanted? write ix to a matrix, too. + if nargout == 2; + ix = cell2mat(ix); + end + + +else + + +% if there are no nans than start the recursive algorithm +ixe = size(p,1); +ixs = 1; + +% logical vector for the vertices to be retained +I = true(ixe,1); + +% call recursive function +p = simplifyrec(p,tol,ixs,ixe); +ps = p(I,:); + +% if desired return the index of retained vertices +if nargout == 2; + ix = find(I); +end + +end + +% _________________________________________________________ +function p = simplifyrec(p,tol,ixs,ixe) + + % check if startpoint and endpoint are the same + % better comparison needed which included a tolerance eps + + c1 = num2cell(p(ixs,:)); + c2 = num2cell(p(ixe,:)); + + % same start and endpoint with tolerance + sameSE = all(cell2mat(cellfun(compare,c1(:),c2(:),'UniformOutput',false))); + + + if sameSE; + % calculate the shortest distance of all vertices between ixs and + % ixe to ixs only + if dims == 2; + d = hypot(p(ixs,1)-p(ixs+1:ixe-1,1),p(ixs,2)-p(ixs+1:ixe-1,2)); + else + d = sqrt(sum(bsxfun(@minus,p(ixs,:),p(ixs+1:ixe-1,:)).^2,2)); + end + else + % calculate shortest distance of all points to the line from ixs to ixe + % subtract starting point from other locations + pt = bsxfun(@minus,p(ixs+1:ixe,:),p(ixs,:)); + + % end point + a = pt(end,:)'; + + beta = (a' * pt')./(a'*a); + b = pt-bsxfun(@times,beta,a)'; + if dims == 2; + % if line in 2D use the numerical more robust hypot function + d = hypot(b(:,1),b(:,2)); + else + d = sqrt(sum(b.^2,2)); + end + end + + % identify maximum distance and get the linear index of its location + [dmax,ixc] = max(d); + ixc = ixs + ixc; + + % if the maximum distance is smaller than the tolerance remove vertices + % between ixs and ixe + if dmax <= tol; + if ixs ~= ixe-1; + I(ixs+1:ixe-1) = false; + end + % if not, call simplifyrec for the segments between ixs and ixc (ixc + % and ixe) + else + p = simplifyrec(p,tol,ixs,ixc); + p = simplifyrec(p,tol,ixc,ixe); + + end + +end +end + +% Copyright (c) 2009, Wolfgang Schwanghart +% All rights reserved. +% +% Redistribution and use in source and binary forms, with or without +% modification, are permitted provided that the following conditions are +% met: +% +% * Redistributions of source code must retain the above copyright +% notice, this list of conditions and the following disclaimer. +% * Redistributions in binary form must reproduce the above copyright +% notice, this list of conditions and the following disclaimer in +% the documentation and/or other materials provided with the distribution +% +% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +% AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +% IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +% ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE +% LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +% CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +% SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +% INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +% CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +% ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +% POSSIBILITY OF SUCH DAMAGE. diff --git a/matlab/external/gptoolbox/external/exactgeodesic.m b/matlab/external/gptoolbox/external/exactgeodesic.m new file mode 100644 index 0000000..30f2ffd --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic.m @@ -0,0 +1,73 @@ +function [D,G] = exactgeodesic(V,F,id,w) + % exactgeodesic - Exact Geodesic on Triangular Meshes + % (depends on igl_external/exactgeodesic) + % + % [D,G] = exactgeodesic(V,F,id) + % + % Inputs: + % V list of vertex positions + % F list of faces + % id starting vertex + % + % Outputs: + % D distances from id, # vertices by 1 matrix + % G exact gradients of D(in 3d), # vertices by 3 matrix + +global geodesic_library; + +if (~exist('w','var') || isempty(w)) + assert(all(size(id) ==1)); + type = 'vertex'; + point = V(id,:); + index = id; +else + assert(all(size(id) ==1)); + assert(size(w,2) == size(V,2) && size(w,1) == 1); + type = 'face'; + index = id; + point = w*V(F(index,:),:); +end +% "release" is faster and "debug" does additional checks +geodesic_library = 'geodesic_release'; + +% initialize new mesh +mesh = geodesic_new_mesh(V,F); + +% initialize new geodesic algorithm +algorithm = geodesic_new_algorithm(mesh, 'exact'); + +source_points = {geodesic_create_surface_point(type,index,point)}; + +% propagation stage of the algorithm (the most time-consuming) +geodesic_propagate(algorithm, source_points); +% find distances to all vertices of the mesh (actual pathes are not computed) +[~, D] = geodesic_distance_and_source(algorithm); + +G = zeros(size(V,1),3); +if nargout > 1 + % compute the gradients directions + for i=1:size(V,1) + destination = geodesic_create_surface_point('vertex',i,V(i,:)); + path = geodesic_trace_back(algorithm, destination); %find a shortest path from source to destination + if (size(path,1) >= 2) + a = [path{1}.x path{1}.y path{1}.z]; + b = [path{2}.x path{2}.y path{2}.z]; + G(i,:) = a-b; + end + end + + % compute the gradients magnitudo + G = normalizerow(G); + G = repmat(D,1,3) .* G; + + % get rid of the nans on id + if(strcmp(type,'vertex')) + G(id, :) = 0; + end +end + +% delete all meshes and algorithms +geodesic_delete; + + +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/exactgeodesic/create_flat_triangular_mesh.m b/matlab/external/gptoolbox/external/exactgeodesic/create_flat_triangular_mesh.m new file mode 100644 index 0000000..2eb4c15 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/create_flat_triangular_mesh.m @@ -0,0 +1,33 @@ +%good mesh to catch possible bugs in geodesic algorithms +%Copyright (c) 2007 Danil Kirsanov +function [p,tri] = create_flat_triangular_mesh(step, smoothness) + +x = -1:step:1; +y = x; + +N_p = length(x)*length(y); %regular grid +p = zeros(N_p,3); +N_t = (length(x)-1)*(length(y)-1)*2; %two triangles per square +tri = zeros(N_t,3); + +n_p = 1; +n_t = 1; +for i=1:length(x); + for j=1:length(y); + p(n_p,:) = [x(i) y(j) 0]; + + if i 1 + p(i,:) = p(i,:)/max(abs(p(i,:))); + end + + scale = abs(p(i,1))*waist + (1 - waist); + p(i,2:3) = p(i,2:3)*scale; % add "waist" on x-axis +end; diff --git a/matlab/external/gptoolbox/external/exactgeodesic/create_subdivision_pattern.m b/matlab/external/gptoolbox/external/exactgeodesic/create_subdivision_pattern.m new file mode 100644 index 0000000..fc04091 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/create_subdivision_pattern.m @@ -0,0 +1,33 @@ +%regular subdivision pattern of a triangle +%used in drawing approximate equidistant lines in example5.m +%Copyright (c) 2007 Danil Kirsanov +function [weights,tri] = create_subdivision_pattern(level) %"level" is the number of additional vertices per edge + +step = 1/(level + 1); +N = level + 2; %total number of points per edge + +N_p = (N^2 + N)/2; %number of vertices in the regular grid +N_t = (N-1)^2; %two triangles per square +weights = zeros(N_p,3); +tri = zeros(N_t,3); + +n_p = 1; +n_t = 1; +for i=1:N; + K = N-i+1; + for j=1:K + c = step*[j-1, i-1]; + weights(n_p,:) = [c, 1-sum(c)]; + + if i 1e10); %find vertices for which the distances are undefined +defined = find(distances < 1e10); +distances(undefined) = max(distances(defined))*1.1; %plot undefined distances with white +colormap('winter'); +c_map = colormap; +c_map(end,:) = 1; +colormap(c_map); + +hold off; +trisurf(faces,vertices(:,1),vertices(:,2),vertices(:,3),distances, 'FaceColor', 'interp', 'EdgeColor', 'k'); %plot the mesh +hold on; +daspect([1 1 1]); + +for i=1:length(path) %plot paths to all vertices with finite distances + [x,y,z] = extract_coordinates_from_path(path{i}); + plot3(x,y,z,'r'); +end; + +for i=1:length(stop_points); %show stop vertices + h = plot3(stop_points{i}.x,stop_points{i}.y,stop_points{i}.z,'ro','MarkerSize',5, 'MarkerFaceColor', 'r'); +end; +legend(h, 'stop vertices'); + +geodesic_delete; diff --git a/matlab/external/gptoolbox/external/exactgeodesic/example5.m b/matlab/external/gptoolbox/external/exactgeodesic/example5.m new file mode 100644 index 0000000..34fa79c --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/example5.m @@ -0,0 +1,96 @@ +% Simple application: drawing approximate piece-wise linear isodistance curves (isolines). +% In theory, isolines on a triangular mesh are piecewise second-order curves. +% Here, we draw piecewise linear approximation of these curves. The distance function +% of the mesh is sampled at the subdivision vertices within each triangle and +% represented as a linear function within each subdivision triangle. +% This particular method works well only for 'exact' geodesic method, +% because for the approximate methods the distance field is discontinuous +% on the edges of the mesh. +% Danil Kirsanov, 09/2007 + +subdivision_level = 5; %number of additional vertices per edge; each mesh triangle will have roughly speaking subdivision_level^2 number of subdivision triangles +number_of_isolines = 10; + +global geodesic_library; +geodesic_library = 'geodesic_release'; %"release" is faster and "debug" does additional checks +rand('state', 0); %comment this statement if you want to produce random mesh every time + +[vertices,faces] = create_flat_triangular_mesh(0.2, 0); +N = length(vertices); +% N = 300; %number of points in a mesh +% [vertices,faces] = create_hedgehog_mesh(N, 0.1); %create "noisy sphere" mesh; "vertices" contains 3D vertex coordinates; "faces" contains vertex id's for every triangle + +hold off; +trisurf(faces,vertices(:,1),vertices(:,2),vertices(:,3), 'FaceColor', 'w', 'EdgeColor', 'k', 'FaceAlpha', 0.99); %plot the mesh +hold on; + +mesh = geodesic_new_mesh(vertices,faces); %initilize new mesh +algorithm = geodesic_new_algorithm(mesh, 'exact'); %initialize new geodesic algorithm + +source_points = {}; +for vertex_id = [26,N-5, floor(N/2)-3, floor(N/2)+3]; %create source points + source_points{end+1} = geodesic_create_surface_point('vertex',vertex_id, vertices(vertex_id,:)); +end; + +geodesic_propagate(algorithm, source_points); + +[sub_weights,sub_tri] = create_subdivision_pattern(subdivision_level); %coordinates of the subdivision triangles + +[source_id, distances] = geodesic_distance_and_source(algorithm); %find distances for all vertices of the mesh +max_distance = max(distances); + +isolines_step = max_distance/number_of_isolines; +isolines_distances = isolines_step/2 : isolines_step : max_distance; + +[known_distances, tmp] = find(sub_weights > 0.999); %we already know the distances to the actual vertices of the mesh +unknown_distances = setdiff([1:size(sub_weights,1)], known_distances); +for face_id = 1:size(faces,1) + vertex_ids = faces(face_id,:); + sub_vertices = sub_weights*vertices(vertex_ids,:); %find coordinates of subdivision vertices + sub_distances = zeros(size(sub_vertices,1),1); + + sub_distances(known_distances) = distances(vertex_ids); %no need to reevaluate distance finction for the vertices of the face + %for sub_index = 1:size(sub_vertices,1) %find distances at all subdivision vertices + for sub_index = unknown_distances %find distances at all internal subdivision vertices + q = geodesic_create_surface_point('face',face_id,sub_vertices(sub_index,:)); + [source_id, d] = geodesic_distance_and_source(algorithm, q); + sub_distances(sub_index) = d; + end; + + selected_distances = find(isolines_distances >= min(sub_distances) & ... + isolines_distances <= max(sub_distances)); + selected_distances = isolines_distances(selected_distances); + + for tri_index = 1:size(sub_tri,1) %intersection of the equidistance curve with every subdivision triangle is approximated as a straight line + for isodistance = selected_distances + p = []; + for i = 1:3 + index1 = sub_tri(tri_index, i); + index2 = sub_tri(tri_index, mod(i,3) + 1); + d1 = sub_distances(index1); + d2 = sub_distances(index2); + + if d1 == isodistance %special case when isodistance paths exactly through the vertex + p(end+1,:) = sub_vertices(index1,:); + end + + if isodistance > min(d1,d2) & isodistance < max(d1,d2) %draw equidistant curve + a = (isodistance - d2)/(d1 - d2); % I believe that division by zero will never happen here + p(end+1,:) = a*sub_vertices(index1,:) + (1-a)*sub_vertices(index2,:); + end; + end + if size(p,1) == 2 + plot3(p(:,1), p(:,2),p(:,3),'b', 'LineWidth', 2); + end + end + end; +end; + +for i=1:length(source_points); + h = plot3(source_points{i}.x,source_points{i}.y,source_points{i}.z,'ro','MarkerSize',5, 'MarkerFaceColor', 'r'); +end; + +campos([0, 0, 5]) +legend(h, 'sources'); + +geodesic_delete; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/exactgeodesic/extract_coordinates_from_path.m b/matlab/external/gptoolbox/external/exactgeodesic/extract_coordinates_from_path.m new file mode 100644 index 0000000..275b310 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/extract_coordinates_from_path.m @@ -0,0 +1,17 @@ +function [x,y,z] = extract_coordinates_from_path(path) + +%this elegant way is incompatible with the older versions of matlab +% x = cellfun(@(p) p.x, path); %the simplest way to extract coordinates from the path +% y = cellfun(@(p) p.y, path); %if it looks complicated, you can use "for" similar to example1.m +% z = cellfun(@(p) p.z, path); + +x = zeros(length(path),1); +y = x; +z = y; + +for i=1:length(path) + x(i) = path{i}.x; + y(i) = path{i}.y; + z(i) = path{i}.z; +end; + diff --git a/matlab/external/gptoolbox/external/exactgeodesic/geodesic_convert_surface_points.m b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_convert_surface_points.m new file mode 100644 index 0000000..ae3fe9d --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_convert_surface_points.m @@ -0,0 +1,46 @@ +%internal geodesic function +%conversion between C++ and matlab surface point representation +% Danil Kirsanov, 09/2007 + +function q = geodesic_convert_surface_points(p) + +if isempty(p) + q = []; + return; +end; + +point_types = {'vertex', 'edge', 'face'}; + +if ~isa(p,'numeric') %convert from matlab to C++ + num_points = length(p); + q = zeros(num_points*5, 1); + for i = 1:num_points + shift = (i-1)*5; + q(shift + 1) = p{i}.x; + q(shift + 2) = p{i}.y; + q(shift + 3) = p{i}.z; + q(shift + 5) = p{i}.id - 1; + + type = find(strcmp(point_types, p{i}.type)); + if isempty(type) + disp('error: point type is incorrect'); + q = []; + return; + else + q(shift + 4) = type - 1; + end + end +else %convert from C++ to matlab + num_points = length(p)/5; + q = cell(num_points, 1); + for i = 1:num_points + shift = (i-1)*5; + point.x = p(shift + 1); + point.y = p(shift + 2); + point.z = p(shift + 3); + point.type = point_types(p(shift + 4) + 1); + point.id = p(shift + 5) + 1; + + q{i} = point; + end; +end; diff --git a/matlab/external/gptoolbox/external/exactgeodesic/geodesic_create_surface_point.m b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_create_surface_point.m new file mode 100644 index 0000000..1fa44e0 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_create_surface_point.m @@ -0,0 +1,14 @@ +function p = geodesic_create_surface_point(type,id,x,y,z) + +p.type = type; +p.id = id; + +if nargin == 3 + p.x = x(1); + p.y = x(2); + p.z = x(3); +else + p.x = x; + p.y = y; + p.z = z; +end diff --git a/matlab/external/gptoolbox/external/exactgeodesic/geodesic_debug.dll b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_debug.dll new file mode 100644 index 0000000..c9dfac8 Binary files /dev/null and b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_debug.dll differ diff --git a/matlab/external/gptoolbox/external/exactgeodesic/geodesic_delete.m b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_delete.m new file mode 100644 index 0000000..c4be320 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_delete.m @@ -0,0 +1,23 @@ +% delete mesh, algorithm, or everything at once +% Danil Kirsanov, 09/2007 + +function object = geodesic_delete(object) + +global geodesic_library; +if ~libisloaded(geodesic_library) %everything is already cleared + object = []; + return; +end + +if nargin == 0 % the simplest way to delete everything is to unload the library + unloadlibrary(geodesic_library); +else + if libisloaded(geodesic_library) + if strcmp(object.object_type, 'mesh') + calllib(geodesic_library, 'delete_mesh', object.id); % delete mesh and corresponding algorithms + else + calllib(geodesic_library, 'delete_algorithm', object.id); % delete a single algorithm + end + end +end +object = []; diff --git a/matlab/external/gptoolbox/external/exactgeodesic/geodesic_distance_and_source.m b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_distance_and_source.m new file mode 100644 index 0000000..a5b25b7 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_distance_and_source.m @@ -0,0 +1,25 @@ +%finds best source and distance to the best source +% if distance is negative, the best source cannot be found (for example, because the propagation was stopped before it reached this point) +% Danil Kirsanov, 09/2007 + +function [source_id, distance] = geodesic_best_source(algorithm, destination) + +global geodesic_library; + +if nargin == 2 + d = geodesic_convert_surface_points({destination}); + + tmp = 1; + [source_id, tmp1, distance] = calllib(geodesic_library, 'distance_and_source', algorithm.id, d, tmp); + source_id = source_id + 1; +else %return distances and sources for all vertices + tmp = libpointer('doublePtrPtr'); + tmp1 = libpointer('longPtrPtr'); + + [num_vertices, d, s] = calllib(geodesic_library, 'distance_and_source_for_all_vertices', algorithm.id, tmp, tmp1); + + setdatatype(d, 'doublePtr', num_vertices); + distance = d.Value; + setdatatype(s, 'int32Ptr', num_vertices); + source_id = s.Value + 1; +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/exactgeodesic/geodesic_matlab_api.h b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_matlab_api.h new file mode 100644 index 0000000..b1d5b7f --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_matlab_api.h @@ -0,0 +1,46 @@ +#ifndef GEODESIC_DLL_HEADER_HPP_234232 +#define GEODESIC_DLL_HEADER_HPP_234232 + +#ifdef __cplusplus +extern "C" { +#endif + +long new_mesh(long num_points, //creates new mesh + double* points, + long num_triangles, + long* triangles, + long* num_edges, + double** edges); + +long new_algorithm(long mesh_id, //creates a geodesic algorithm for a given mesh + long type, + long subdivision); + +void delete_algorithm(long id); + +void delete_mesh(long id); //delete mesh and all associated algorithms + +void propagate(long algorithm_id, //compute distance field for given source points + double* source_points, + long num_sources, + double* stop_points, //limitations on distance field propagation + long num_stop_points, + double max_propagation_distance); + +long trace_back(long algorithm_id, //using procomputed distance field, compute a shortest path from destination to the closest source + double* destination, + double** path); + +long distance_and_source(long algorithm_id, //quickly find what source this point belongs to and what is the distance to this source + double* destination, + double* best_source_distance); + +long distance_and_source_for_all_vertices(long algorithm_id, //same idea as in the previous function + double** distances, //list distance/source info for all vertices of the mesh + long** sources); + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/matlab/external/gptoolbox/external/exactgeodesic/geodesic_new_algorithm.m b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_new_algorithm.m new file mode 100644 index 0000000..83d685e --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_new_algorithm.m @@ -0,0 +1,29 @@ +function algorithm = geodesic_new_algorithm(mesh, type, subdivision) + +global geodesic_library; + +algorithm = []; +if ~libisloaded(geodesic_library) + disp('error: geodesic library is not loaded'); + return; +end + +if nargin == 2 + subdivision = 0; +end + +if strcmp(type, 'subdivision') & subdivision == 0 + type = 'dijkstra'; +end; + +algorithm_types = {'exact', 'subdivision', 'dijkstra'}; +type_id = find(strcmp(type, algorithm_types)); +if isempty(type_id) + disp('error: algorithm type is incorrect'); + return; +end +type_id = type_id - 1; + +algorithm.id = calllib(geodesic_library, 'new_algorithm', mesh.id, type_id, subdivision); +algorithm.type = type; +algorithm.object_type = 'algorithm'; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/exactgeodesic/geodesic_new_mesh.m b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_new_mesh.m new file mode 100644 index 0000000..41cee33 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_new_mesh.m @@ -0,0 +1,36 @@ +function [mesh, edge_to_vertex, edge_to_face] = geodesic_new_mesh(points, tri) + +global geodesic_library +if ~libisloaded(geodesic_library) + hfile = 'geodesic_matlab_api.h'; + if ispc + loadlibrary([geodesic_library '.dll'], hfile); + elseif ismac + loadlibrary([geodesic_library '.dylib'], hfile); + end +end + +dim = find(size(points) == 3); +if dim == 1 + p = points(:); +else + p = points'; + p = p(:); +end; + +dim = find(size(tri) == 3); +if dim == 1 + t = tri(:) - 1; +else + t = tri'; + t = t(:) - 1; +end; + +tmp = libpointer('doublePtrPtr'); +[id, tmp1, tmp2, num_edges, edges] = calllib(geodesic_library, 'new_mesh', length(p)/3, p, length(t)/3, t, 1, tmp); +setdatatype(edges, 'doublePtr', 4, num_edges); + +mesh.id = id; +mesh.object_type = 'mesh'; +edge_to_vertex = (edges.Value(1:2,:) + 1)'; +edge_to_face = (edges.Value(3:4,:) + 1)'; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/exactgeodesic/geodesic_propagate.m b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_propagate.m new file mode 100644 index 0000000..b6be879 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_propagate.m @@ -0,0 +1,22 @@ +function geodesic_propagate(algorithm, source_points, stop_points, max_distance) + +global geodesic_library; + +if nargin < 4 + max_distance = 1e100; +end + +if nargin < 3 + stop_points = []; +end + +if ~libisloaded(geodesic_library) + disp('error: geodesic library is not loaded'); + return; +end + +sources = geodesic_convert_surface_points(source_points); +stops = geodesic_convert_surface_points(stop_points); + +calllib(geodesic_library, 'propagate', algorithm.id, ... + sources, length(sources)/5, stops, length(stops)/5, max_distance); diff --git a/matlab/external/gptoolbox/external/exactgeodesic/geodesic_release.dll b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_release.dll new file mode 100644 index 0000000..c259d6f Binary files /dev/null and b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_release.dll differ diff --git a/matlab/external/gptoolbox/external/exactgeodesic/geodesic_release.dylib b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_release.dylib new file mode 100644 index 0000000..326a3fd Binary files /dev/null and b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_release.dylib differ diff --git a/matlab/external/gptoolbox/external/exactgeodesic/geodesic_trace_back.m b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_trace_back.m new file mode 100644 index 0000000..f8024a7 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/geodesic_trace_back.m @@ -0,0 +1,12 @@ +function path = geodesic_trace_back(algorithm, destination) + +global geodesic_library; + +tmp{1} = destination; +d = geodesic_convert_surface_points(tmp); + +tmp = libpointer('doublePtrPtr'); +[path_length, tmp, path_double] = calllib(geodesic_library, 'trace_back', algorithm.id, d, tmp); + +setdatatype(path_double, 'doublePtr', path_length*5); +path = geodesic_convert_surface_points(path_double.Value); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/exactgeodesic/license.txt b/matlab/external/gptoolbox/external/exactgeodesic/license.txt new file mode 100644 index 0000000..d5877d1 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/license.txt @@ -0,0 +1,24 @@ +Copyright (c) 2008, Danil Kirsanov +All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are +met: + + * Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above copyright + notice, this list of conditions and the following disclaimer in + the documentation and/or other materials provided with the distribution + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE +LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +POSSIBILITY OF SUCH DAMAGE. diff --git a/matlab/external/gptoolbox/external/exactgeodesic/readme.txt b/matlab/external/gptoolbox/external/exactgeodesic/readme.txt new file mode 100644 index 0000000..46e1a63 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/readme.txt @@ -0,0 +1,53 @@ +This is an implementation of geodesic (shortest path) algorithm for triangular mesh (triangulated surface) first described by Mitchell, Mount and Papadimitriou in 1987[1] with some minor improvements, extensions and simplifications. The algorithm has O(n^2 log n) worst-case time complexity, but in practice can work with million-node meshes in reasonable time. For the quick overview, see [2]. + +The basic idea of the algorithm is very similar to Dijkstra's algorithm for finding shortest path on a weighted graph. It has two steps: +- propagation of the distance field from sources over the surface of the mesh (slow) +- tracing back the shortest path from target point to the closest source (fast) + +For debugging and comparison purposes I also implemented two approximate algorithms +- Dijkstra shortest path on the graph created by the vertices and edges of the mesh +- Subdivision (put N additional vertices on every edge of the mesh, directly connect all vertices belonging to the same face, run Dijkstra on the resulting graph) +The nice property of the subdivision algorithm is that it becomes Dijkstra when N=0 and computes exact distances when N->infinity. + +The input mesh is represented as two arrays: vertices (each vertex has tree coordinates) and faces (each face is represented as indices of its vertices). Most of the communication with the algorithms is done through SurfacePoints (points on the surface of the mesh; they have three coordinates and a pointer to a mesh element they belong). + +The algorithms are available as C++ code (downloadable at http://code.google.com/p/geodesic/) and Matlab toolbox (downloadable at MathWorks File Exchange). + +C++ NOTES +The base class of for all algorithms is GeodesicAlgorithmBase (defined in geodesic_algorithm_base.h). The most important functions defined in this class are +- propagate(...). It is possible to stop propagation after it reaches certain distance or covers certain points on the surface of the mesh; O(n^2 log n). +- trace_back(…). It traces the shortest path from target to the nearest source; O(n) . +- best_source(…). For a given point on the surface of the mesh, this function reports the closest source and the distance to this source; O(1). +Read example0.cpp and example1.cpp – they are self-explanatory. + +MATLAB NOTES +- you do not have to compile anything; the algorithm is already available as C library (it has _debug and _release versions) +- just in case, the header of the library is geodesic_matlab_api.h; all the functions are instantiated in geodesic_matlab_api.c (this is the only file you have to compile for the library). +- only Windows version of the library is provided. If you need them on other operating systems, you are on your own – download C++ code and compile geodesic_matlab_api.c into a library +Play with example1.m – example5.m; they are self-explanatory. + +Limitations and known issues. + +The mesh should be edge-connected. I.e. for every two faces of the mesh there should exist a connecting path on the surface of the mesh that does not go through any vertex. This property implies the simple connectivity of the mesh. In particular, there should be no vertices that are not used by any of the triangles. + +There is a list of possible features and improvements that could be done to the algorithm. +- Memory is currently a bottleneck for large meshes. In theory, it is possible to overcome it if all destinations are known BEFORE the propagation step. +- For large flat parts of the mesh (vertices whose total adjacent angles sum up to exactly 2*pi) the current version of the algorithm uses more time and memory than necessary. + +ACKNOWLEDGEMENTS +I am very grateful to Steven Gortler without whom this project would never exist. Hugues Hoppe helped to develop the early version of the algorithm by providing his mesh processing code as well as many helpful advices. Tatiana and Vitaly Surazhsky did a great job analyzing the complexity of the algorithm for the “regular” meshes. + +REPORTING BUGS AND SENDING LOVE/HATE MAIL +If you have a bug, first check your mesh and run the algorithm in debug mode. Most likely, the mesh is numbered incorrectly or disconnected or of somehow degenerate. +Usually, I am not very good communicating with people, but you can try reaching me at exact.geodesic@gmail.com + +Best, +Danil Kirsanov, 01/2008 + +[1] J.S.B. Mitchell, D.~M. Mount, and C.~H. Papadimitriou. SIAM J. Comput., 16:647--668, 1987. +[2] J. O'Rourke, Computational Geometry Column 35, SIGACT News, 30(2) Issue #111 (1999) 31-32, 1993 (could be found at citeseer.ist.psu.edu) + + +CHANGES ON 03/03/08 +- fixed libpointer conflict with matlab 2007b +- fixed cellfun error with earlier versions of matlab \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/exactgeodesic/src/compileMacOSX.sh b/matlab/external/gptoolbox/external/exactgeodesic/src/compileMacOSX.sh new file mode 100644 index 0000000..0d623dd --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/src/compileMacOSX.sh @@ -0,0 +1 @@ +g++ -dynamiclib -I/opt/local/include/ geodesic_matlab_api.cpp -O3 -DNDEBUG -o geodesic.dylib diff --git a/matlab/external/gptoolbox/external/exactgeodesic/src/example0.cpp b/matlab/external/gptoolbox/external/exactgeodesic/src/example0.cpp new file mode 100644 index 0000000..61f84a5 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/src/example0.cpp @@ -0,0 +1,86 @@ +/* read mesh from file and + - if one vertex is specified, for all vertices of the mesh print their distances to this vertex + - if two vertices are specified, print the shortest path between these vertices + + Danil Kirsanov, 01/2008 +*/ +#include +#include + +#include "geodesic_algorithm_exact.h" + + +int main(int argc, char **argv) +{ + if(argc < 2) + { + std::cout << "usage: mesh_file_name [first_vertex] [second_vertex]" << std::endl; //try: "hedgehog_mesh.txt 3 14" or "flat_triangular_mesh.txt 1" + return 0; + } + + std::vector points; + std::vector faces; + + bool success = geodesic::read_mesh_from_file(argv[1],points,faces); + if(!success) + { + std::cout << "something is wrong with the input file" << std::endl; + return 0; + } + + geodesic::Mesh mesh; + mesh.initialize_mesh_data(points, faces); //create internal mesh data structure including edges + + geodesic::GeodesicAlgorithmExact algorithm(&mesh); //create exact algorithm for the mesh + + unsigned source_vertex_index = (argc == 2) ? 0 : atol(argv[2]); + + geodesic::SurfacePoint source(&mesh.vertices()[source_vertex_index]); //create source + std::vector all_sources(1,source); //in general, there could be multiple sources, but now we have only one + + if(argc > 3) //target vertex specified, compute single path + { + unsigned target_vertex_index = atol(argv[3]); + geodesic::SurfacePoint target(&mesh.vertices()[target_vertex_index]); //create source + + std::vector path; //geodesic path is a sequence of SurfacePoints + + bool const lazy_people_flag = false; //there are two ways to do exactly the same + if(lazy_people_flag) + { + algorithm.geodesic(source, target, path); //find a single source-target path + } + else //doing the same thing explicitly for educational reasons + { + double const distance_limit = geodesic::GEODESIC_INF; // no limit for propagation + std::vector stop_points(1, target); //stop propagation when the target is covered + algorithm.propagate(all_sources, distance_limit, &stop_points); //"propagate(all_sources)" is also fine, but take more time because covers the whole mesh + + algorithm.trace_back(target, path); //trace back a single path + } + + print_info_about_path(path); + for(unsigned i = 0; i +#include +#include + +#include "geodesic_algorithm_dijkstra.h" +#include "geodesic_algorithm_subdivision.h" +#include "geodesic_algorithm_exact.h" + +int main(int argc, char **argv) +{ + std::vector points; + std::vector faces; + geodesic::read_mesh_from_file("hedgehog_mesh.txt",points,faces); + + geodesic::Mesh mesh; + mesh.initialize_mesh_data(points, faces); //create internal mesh data structure including edges + + geodesic::GeodesicAlgorithmExact exact_algorithm(&mesh); //exact algorithm + geodesic::GeodesicAlgorithmDijkstra dijkstra_algorithm(&mesh); //simplest approximate algorithm: path only allowed on the edges of the mesh + unsigned const subdivision_level = 3; //three additional vertices per every edge in subdivision algorithm + geodesic::GeodesicAlgorithmSubdivision subdivision_algorithm(&mesh,2); //with subdivision_level=0 this algorithm becomes Dijkstra, with subdivision_level->infinity it becomes exact + + std::vector all_algorithms; //for simplicity, store all possible geodesic algorithms here + all_algorithms.push_back(&dijkstra_algorithm); + all_algorithms.push_back(&subdivision_algorithm); + all_algorithms.push_back(&exact_algorithm); + + std::vector sources; + sources.push_back(geodesic::SurfacePoint(&mesh.vertices()[0])); //one source is located at vertex zero + sources.push_back(geodesic::SurfacePoint(&mesh.edges()[12])); //second source is located in the middle of edge 12 + sources.push_back(geodesic::SurfacePoint(&mesh.faces()[20])); //third source is located in the middle of face 20 + + std::vector targets; //same thing with targets + targets.push_back(geodesic::SurfacePoint(&mesh.vertices().back())); + targets.push_back(geodesic::SurfacePoint(&mesh.edges()[10])); + targets.push_back(geodesic::SurfacePoint(&mesh.faces()[3])); + + for(unsigned index=0; indexname() << std::endl; + + algorithm->propagate(sources); //cover the whole mesh + algorithm->print_statistics(); + + //------------------first task: compute the pathes to the targets---- + std::vector path; + for(int i=0; itrace_back(targets[i], path); + print_info_about_path(path); + } + + //------------------second task: for each source, find the furthest vertex that it covers ---- + std::vector max_distance(sources.size(), 0.0); //distance to the furthest vertex that is covered by the given source + for(int i=0; ibest_source(p,distance); + + max_distance[best_source] = std::max(max_distance[best_source], distance); + } + + std::cout << std::endl; + for(int i=0; i +#include + +namespace geodesic{ + +class GeodesicAlgorithmBase +{ +public: + enum AlgorithmType + { + EXACT, + DIJKSTRA, + SUBDIVISION, + UNDEFINED_ALGORITHM + }; + + GeodesicAlgorithmBase(geodesic::Mesh* mesh = 0): + m_type(UNDEFINED_ALGORITHM), + m_max_propagation_distance(1e100), + m_mesh(mesh) + {}; + + virtual ~GeodesicAlgorithmBase(){}; + + virtual void propagate(std::vector& sources, + double max_propagation_distance = GEODESIC_INF, //propagation algorithm stops after reaching the certain distance from the source + std::vector* stop_points = NULL) = 0; //or after ensuring that all the stop_points are covered + + virtual void trace_back(SurfacePoint& destination, //trace back piecewise-linear path + std::vector& path) = 0; + + void geodesic(SurfacePoint& source, + SurfacePoint& destination, + std::vector& path); //lazy people can find geodesic path with one function call + + void geodesic(std::vector& sources, + std::vector& destinations, + std::vector >& paths); //lazy people can find geodesic paths with one function call + + virtual unsigned best_source(SurfacePoint& point, //after propagation step is done, quickly find what source this point belongs to and what is the distance to this source + double& best_source_distance) = 0; + + virtual void print_statistics() //print info about timing and memory usage in the propagation step of the algorithm + { + std::cout << "propagation step took " << m_time_consumed << " seconds " << std::endl; + }; + + AlgorithmType type(){return m_type;}; + + virtual std::string name(); + + geodesic::Mesh* mesh(){return m_mesh;}; +protected: + + void set_stop_conditions(std::vector* stop_points, + double stop_distance); + double stop_distance() + { + return m_max_propagation_distance; + } + + AlgorithmType m_type; // type of the algorithm + + typedef std::pair stop_vertex_with_distace_type; + std::vector m_stop_vertices; // algorithm stops propagation after covering certain vertices + double m_max_propagation_distance; // or reaching the certain distance + + geodesic::Mesh* m_mesh; + + double m_time_consumed; //how much time does the propagation step takes + double m_propagation_distance_stopped; //at what distance (if any) the propagation algorithm stopped +}; + +inline double length(std::vector& path) +{ + double length = 0; + if(!path.empty()) + { + for(unsigned i=0; i& path) +{ + std::cout << "number of the points in the path = " << path.size() + << ", length of the path = " << length(path) + << std::endl; +} + +inline std::string GeodesicAlgorithmBase::name() +{ + switch(m_type) + { + case EXACT: + return "exact"; + case DIJKSTRA: + return "dijkstra"; + case SUBDIVISION: + return "subdivision"; + default: + case UNDEFINED_ALGORITHM: + return "undefined"; + } +} + +inline void GeodesicAlgorithmBase::geodesic(SurfacePoint& source, + SurfacePoint& destination, + std::vector& path) //lazy people can find geodesic path with one function call +{ + std::vector sources(1, source); + std::vector stop_points(1, destination); + double const max_propagation_distance = GEODESIC_INF; + + propagate(sources, + max_propagation_distance, + &stop_points); + + trace_back(destination, path); +} + +inline void GeodesicAlgorithmBase::geodesic(std::vector& sources, + std::vector& destinations, + std::vector >& paths) //lazy people can find geodesic paths with one function call +{ + double const max_propagation_distance = GEODESIC_INF; + + propagate(sources, + max_propagation_distance, + &destinations); //we use desinations as stop points + + paths.resize(destinations.size()); + + for(unsigned i=0; i* stop_points, + double stop_distance) +{ + m_max_propagation_distance = stop_distance; + + if(!stop_points) + { + m_stop_vertices.clear(); + return; + } + + m_stop_vertices.resize(stop_points->size()); + + std::vector possible_vertices; + for(unsigned i = 0; i < stop_points->size(); ++i) + { + SurfacePoint* point = &(*stop_points)[i]; + + possible_vertices.clear(); + m_mesh->closest_vertices(point, &possible_vertices); + + vertex_pointer closest_vertex = NULL; + double min_distance = 1e100; + for(unsigned j = 0; j < possible_vertices.size(); ++j) + { + double distance = point->distance(possible_vertices[j]); + if(distance < min_distance) + { + min_distance = distance; + closest_vertex = possible_vertices[j]; + } + } + assert(closest_vertex); + + m_stop_vertices[i].first = closest_vertex; + m_stop_vertices[i].second = min_distance; + } +} + +}//geodesic + +#endif //GEODESIC_ALGORITHM_BASE_122806 diff --git a/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_algorithm_dijkstra.h b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_algorithm_dijkstra.h new file mode 100644 index 0000000..8cd2e25 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_algorithm_dijkstra.h @@ -0,0 +1,140 @@ +//Copyright (C) 2008 Danil Kirsanov, MIT License +#ifndef GEODESIC_ALGORITHM_DIJKSTRA_010506 +#define GEODESIC_ALGORITHM_DIJKSTRA_010506 + +#include "geodesic_algorithm_graph_base.h" +#include "geodesic_mesh_elements.h" +#include +#include +#include + +namespace geodesic{ + +class DijkstraNode +{ + typedef DijkstraNode* node_pointer; +public: + DijkstraNode(){}; + ~DijkstraNode(){}; + + double& distance_from_source(){return m_distance;}; + node_pointer& previous(){return m_previous;}; + unsigned& source_index(){return m_source_index;}; + vertex_pointer& vertex(){return m_vertex;}; + + void clear() + { + m_distance = GEODESIC_INF; + m_previous = NULL; + } + + bool operator()(node_pointer const s1, node_pointer const s2) const + { + return s1->distance_from_source() != s2->distance_from_source() ? + s1->distance_from_source() < s2->distance_from_source() : + s1->vertex()->id() < s2->vertex()->id(); + }; + + double distance(SurfacePoint* p) + { + return m_vertex->distance(p); + } + + SurfacePoint surface_point() + { + return SurfacePoint(m_vertex); + } + +private: + double m_distance; //distance to the closest source + unsigned m_source_index; //closest source index + node_pointer m_previous; //previous node in the geodesic path + vertex_pointer m_vertex; //correspoding vertex +}; + +class GeodesicAlgorithmDijkstra: public GeodesicAlgorithmGraphBase +{ +public: + typedef DijkstraNode Node; + typedef Node* node_pointer; + + GeodesicAlgorithmDijkstra(geodesic::Mesh* mesh): + GeodesicAlgorithmGraphBase(mesh) + { + m_type = DIJKSTRA; + + m_nodes.resize(mesh->vertices().size()); + for(unsigned i=0; ivertices()[i]; + } + }; + + ~GeodesicAlgorithmDijkstra(){}; + +protected: + + void list_nodes_visible_from_source(MeshElementBase* p, + std::vector& storage); //list all nodes that belong to this mesh element + + void list_nodes_visible_from_node(node_pointer node, //list all nodes that belong to this mesh element + std::vector& storage, + std::vector& distances, + double threshold_distance); //list only the nodes whose current distance is larger than the threshold +}; + +void GeodesicAlgorithmDijkstra::list_nodes_visible_from_source(MeshElementBase* p, + std::vector& storage) +{ + assert(p->type() != UNDEFINED_POINT); + + if(p->type() == FACE) + { + face_pointer f = static_cast(p); + for(unsigned i=0; i<3; ++i) + { + vertex_pointer v = f->adjacent_vertices()[i]; + storage.push_back(&m_nodes[node_index(v)]); + } + } + else if(p->type() == EDGE) + { + edge_pointer e = static_cast(p); + for(unsigned i=0; i<2; ++i) + { + vertex_pointer v = e->adjacent_vertices()[i]; + storage.push_back(&m_nodes[node_index(v)]); + } + } + else //VERTEX + { + vertex_pointer v = static_cast(p); + storage.push_back(&m_nodes[node_index(v)]); + } +} + +inline void GeodesicAlgorithmDijkstra::list_nodes_visible_from_node(node_pointer node, //list all nodes that belong to this mesh element + std::vector& storage, + std::vector& distances, + double threshold_distance) +{ + vertex_pointer v = node->vertex(); + assert(storage.size() == distances.size()); + + for(unsigned i=0; iadjacent_edges().size(); ++i) + { + edge_pointer e = v->adjacent_edges()[i]; + vertex_pointer new_v = e->opposite_vertex(v); + node_pointer new_node = &m_nodes[node_index(new_v)]; + + if(new_node->distance_from_source() > threshold_distance + e->length()) + { + storage.push_back(new_node); + distances.push_back(e->length()); + } + } +} + +} //geodesic + +#endif //GEODESIC_ALGORITHM_DIJKSTRA_010506 diff --git a/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_algorithm_dijkstra_alternative.h b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_algorithm_dijkstra_alternative.h new file mode 100644 index 0000000..f0bd1d2 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_algorithm_dijkstra_alternative.h @@ -0,0 +1,281 @@ +//Copyright (C) 2008 Danil Kirsanov, MIT License +#ifndef GEODESIC_ALGORITHM_DIJKSTRA_ALTERNATIVE_010506 +#define GEODESIC_ALGORITHM_DIJKSTRA_ALTERNATIVE_010506 + +#include "geodesic_algorithm_base.h" +#include "geodesic_mesh_elements.h" +#include +#include +#include + +namespace geodesic{ + +class DijkstraNode1 +{ + typedef DijkstraNode1* node_pointer; +public: + DijkstraNode1(){}; + ~DijkstraNode1(){}; + + double& distance_from_source(){return m_distance;}; + node_pointer& previous(){return m_previous;}; + unsigned& source_index(){return m_source_index;}; + vertex_pointer& vertex(){return m_vertex;}; + + void clear() + { + m_distance = GEODESIC_INF; + m_previous = NULL; + } + + bool operator()(node_pointer const s1, node_pointer const s2) const + { + return s1->distance_from_source() != s2->distance_from_source() ? + s1->distance_from_source() < s2->distance_from_source() : + s1->vertex()->id() < s2->vertex()->id(); + }; + +private: + double m_distance; //distance to the closest source + unsigned m_source_index; //closest source index + node_pointer m_previous; //previous node in the geodesic path + vertex_pointer m_vertex; //correspoding vertex +}; + +class GeodesicAlgorithmDijkstraAlternative: public GeodesicAlgorithmBase +{ +public: + typedef DijkstraNode1 Node; + typedef Node* node_pointer; + + GeodesicAlgorithmDijkstraAlternative(geodesic::Mesh* mesh = NULL): + GeodesicAlgorithmBase(mesh), + m_nodes(mesh->vertices().size()) + { + m_type = DIJKSTRA; + for(unsigned i=0; ivertices()[i]; + } + }; + + ~GeodesicAlgorithmDijkstraAlternative(){}; + + virtual void propagate(std::vector& sources, + double max_propagation_distance = GEODESIC_INF, //propagation algorithm stops after reaching the certain distance from the source + std::vector* stop_points = NULL); //or after ensuring that all the stop_points are covered + + virtual void trace_back(SurfacePoint& destination, //trace back piecewise-linear path + std::vector& path); + + virtual unsigned best_source(SurfacePoint& point, //quickly find what source this point belongs to and what is the distance to this source + double& best_source_distance); +private: + + void set_sources(std::vector& sources) + { + m_sources = sources; + } + + bool check_stop_conditions(); + + std::vector m_nodes; //nodes of the subdivision graph located on the vertices + + std::vector m_sources; //for simplicity, we keep sources as they are + + typedef std::set queue_type; + queue_type m_queue; +}; + +inline unsigned GeodesicAlgorithmDijkstraAlternative::best_source(SurfacePoint& point, //quickly find what source this point belongs to and what is the distance to this source + double& best_source_distance) +{ + if(point.type() == VERTEX) + { + vertex_pointer v = (vertex_pointer)point.base_element(); + node_pointer node = &m_nodes[v->id()]; + best_source_distance = node->distance_from_source(); + return node->source_index(); + } + else + { + std::vector possible_vertices; //initialize vertices directly visible from sources + m_mesh->closest_vertices(&point, &possible_vertices); + + best_source_distance = GEODESIC_INF; + vertex_pointer min_vertex = NULL; + for(unsigned i=0; iid()].distance_from_source(); + double distance_from_dest = v->distance(&point); + if(distance_from_source + distance_from_dest < best_source_distance) + { + best_source_distance = distance_from_source + distance_from_dest; + min_vertex = v; + } + } + assert(min_vertex); + node_pointer node = &m_nodes[min_vertex->id()]; + return node->source_index(); + } +} + +inline void GeodesicAlgorithmDijkstraAlternative::trace_back(SurfacePoint& destination, //trace back piecewise-linear path + std::vector& path) +{ + path.clear(); + path.push_back(destination); + + if(destination.type() != VERTEX) //snap to the closest vertex + { + std::vector possible_vertices; //initialize vertices directly visible from sources + m_mesh->closest_vertices(&destination, &possible_vertices); + + double min_distance = GEODESIC_INF; + vertex_pointer min_vertex = NULL; + for(unsigned i=0; iid()].distance_from_source(); + double distance_from_dest = v->distance(&destination); + if(distance_from_source + distance_from_dest < min_distance) + { + min_distance = distance_from_source + distance_from_dest; + min_vertex = v; + } + } + assert(min_vertex); + path.push_back(SurfacePoint(min_vertex)); + } + + node_pointer node = &m_nodes[path.back().base_element()->id()]; + while(node->previous()) //follow the path + { + node = node->previous(); + path.push_back(SurfacePoint(node->vertex())); + } + + SurfacePoint& source = m_sources[node->source_index()]; //add source to the path if it is not already there + if(source.type() != VERTEX || + source.base_element()->id() != node->vertex()->id()) + { + path.push_back(source); + } +} + +inline void GeodesicAlgorithmDijkstraAlternative::propagate(std::vector& sources, + double max_propagation_distance, //propagation algorithm stops after reaching the certain distance from the source + std::vector* stop_points) //or after ensuring that all the stop_points are covered +{ + set_stop_conditions(stop_points, max_propagation_distance); + set_sources(sources); + + m_queue.clear(); //clear everything + for(unsigned i=0; i visible_vertices; //initialize vertices directly visible from sources + for(unsigned i=0; iclosest_vertices(s, &visible_vertices); + for(unsigned j=0; jdistance(v); + + node_pointer node = &m_nodes[v->id()]; + if(distance < node->distance_from_source()) + { + node->distance_from_source() = distance; + node->source_index() = i; + node->previous() = NULL; + } + } + visible_vertices.clear(); + } + + for(unsigned i=0; idistance_from_source()<< std::endl; + } + + node_pointer min_node = *m_queue.begin(); + m_queue.erase(m_queue.begin()); + + vertex_pointer v = min_node->vertex(); + + for(unsigned i=0; iadjacent_edges().size(); ++i) //update all the adgecent vertices + { + edge_pointer e = v->adjacent_edges()[i]; + vertex_pointer next_v = e->opposite_vertex(v); + node_pointer next_node = &m_nodes[next_v->id()]; + //double current_distance = + if(next_node->distance_from_source() > min_node->distance_from_source() + e->length()) + { + if(next_node->distance_from_source() < GEODESIC_INF) //remove it from the queue + { + queue_type::iterator iter = m_queue.find(next_node); + assert(iter != m_queue.end()); + m_queue.erase(iter); + } + next_node->distance_from_source() = min_node->distance_from_source() + e->length(); + next_node->source_index() = min_node->source_index(); + next_node->previous() = min_node; + m_queue.insert(next_node); + } + } + } + //std::cout << std::endl; + + clock_t finish = clock(); + m_time_consumed = (static_cast(finish)-static_cast(start))/CLOCKS_PER_SEC; +} + +inline bool GeodesicAlgorithmDijkstraAlternative::check_stop_conditions() +{ + double queue_min_distance = (*m_queue.begin())->distance_from_source(); + + if(queue_min_distance > m_max_propagation_distance) + { + return true; + } + + for (unsigned index = 0; index < m_stop_vertices.size(); ++index) + { + vertex_pointer v = m_stop_vertices[index].first; + Node& node = m_nodes[v->id()]; + if(queue_min_distance > node.distance_from_source() + m_stop_vertices[index].second) + { + return true; + } + } + return false; +} + +} //geodesic + +#endif //GEODESIC_ALGORITHM_DIJKSTRA_ALTERNATIVE_010506 diff --git a/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_algorithm_exact.h b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_algorithm_exact.h new file mode 100644 index 0000000..3378ac0 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_algorithm_exact.h @@ -0,0 +1,1377 @@ +//Copyright (C) 2008 Danil Kirsanov, MIT License +#ifndef GEODESIC_ALGORITHM_EXACT_20071231 +#define GEODESIC_ALGORITHM_EXACT_20071231 + +#include "geodesic_memory.h" +#include "geodesic_algorithm_base.h" +#include "geodesic_algorithm_exact_elements.h" +#include +#include +#include +#include + +namespace geodesic{ + +class GeodesicAlgorithmExact : public GeodesicAlgorithmBase +{ +public: + GeodesicAlgorithmExact() {} + GeodesicAlgorithmExact(geodesic::Mesh* mesh): + GeodesicAlgorithmBase(mesh), + m_memory_allocator(mesh->edges().size(), mesh->edges().size()), + m_edge_interval_lists(mesh->edges().size()) + { + m_type = EXACT; + + for(unsigned i=0; iedges()[i]); + } + }; + + ~GeodesicAlgorithmExact(){}; + + void propagate(std::vector& sources, + double max_propagation_distance = GEODESIC_INF, //propagation algorithm stops after reaching the certain distance from the source + std::vector* stop_points = NULL); //or after ensuring that all the stop_points are covered + + void trace_back(SurfacePoint& destination, //trace back piecewise-linear path + std::vector& path); + + unsigned best_source(SurfacePoint& point, //quickly find what source this point belongs to and what is the distance to this source + double& best_source_distance); + + void print_statistics(); + +private: + typedef std::set IntervalQueue; + + void update_list_and_queue(list_pointer list, + IntervalWithStop* candidates, //up to two candidates + unsigned num_candidates); + + unsigned compute_propagated_parameters(double pseudo_x, + double pseudo_y, + double d, //parameters of the interval + double start, + double end, //start/end of the interval + double alpha, //corner angle + double L, //length of the new edge + bool first_interval, //if it is the first interval on the edge + bool last_interval, + bool turn_left, + bool turn_right, + IntervalWithStop* candidates); //if it is the last interval on the edge + + void construct_propagated_intervals(bool invert, + edge_pointer edge, + face_pointer face, //constructs iNew from the rest of the data + IntervalWithStop* candidates, + unsigned& num_candidates, + interval_pointer source_interval); + + double compute_positive_intersection(double start, + double pseudo_x, + double pseudo_y, + double sin_alpha, + double cos_alpha); //used in construct_propagated_intervals + + unsigned intersect_intervals(interval_pointer zero, + IntervalWithStop* one); //intersecting two intervals with up to three intervals in the end + + interval_pointer best_first_interval(SurfacePoint& point, + double& best_total_distance, + double& best_interval_position, + unsigned& best_source_index); + + bool check_stop_conditions(); + + void clear() + { + m_memory_allocator.clear(); + m_queue.clear(); + for(unsigned i=0; iid()]; + }; + + void set_sources(std::vector& sources) + { + m_sources.initialize(sources); + } + + void initialize_propagation_data(); + + void list_edges_visible_from_source(MeshElementBase* p, + std::vector& storage); //used in initialization + + long visible_from_source(SurfacePoint& point); //used in backtracing + + void best_point_on_the_edge_set(SurfacePoint& point, + std::vector const& storage, + interval_pointer& best_interval, + double& best_total_distance, + double& best_interval_position); + + void possible_traceback_edges(SurfacePoint& point, + std::vector& storage); + + bool erase_from_queue(interval_pointer p); + + IntervalQueue m_queue; //interval queue + + MemoryAllocator m_memory_allocator; //quickly allocate and deallocate intervals + std::vector m_edge_interval_lists; //every edge has its interval data + + enum MapType {OLD, NEW}; //used for interval intersection + MapType map[5]; + double start[6]; + interval_pointer i_new[5]; + + unsigned m_queue_max_size; //used for statistics + unsigned m_iterations; //used for statistics + + SortedSources m_sources; +}; + +inline void GeodesicAlgorithmExact::best_point_on_the_edge_set(SurfacePoint& point, + std::vector const& storage, + interval_pointer& best_interval, + double& best_total_distance, + double& best_interval_position) +{ + best_total_distance = 1e100; + for(unsigned i=0; ifind_closest_point(&point, + offset, + distance, + interval); + + if(distance < best_total_distance) + { + best_interval = interval; + best_total_distance = distance; + best_interval_position = offset; + } + } +} + +inline void GeodesicAlgorithmExact::possible_traceback_edges(SurfacePoint& point, + std::vector& storage) +{ + storage.clear(); + + if(point.type() == VERTEX) + { + vertex_pointer v = static_cast(point.base_element()); + for(unsigned i=0; iadjacent_faces().size(); ++i) + { + face_pointer f = v->adjacent_faces()[i]; + storage.push_back(f->opposite_edge(v)); + } + } + else if(point.type() == EDGE) + { + edge_pointer e = static_cast(point.base_element()); + for(unsigned i=0; iadjacent_faces().size(); ++i) + { + face_pointer f = e->adjacent_faces()[i]; + + storage.push_back(f->next_edge(e,e->v0())); + storage.push_back(f->next_edge(e,e->v1())); + } + } + else + { + face_pointer f = static_cast(point.base_element()); + storage.push_back(f->adjacent_edges()[0]); + storage.push_back(f->adjacent_edges()[1]); + storage.push_back(f->adjacent_edges()[2]); + } +} + + +inline long GeodesicAlgorithmExact::visible_from_source(SurfacePoint& point) //negative if not visible +{ + assert(point.type() != UNDEFINED_POINT); + + if(point.type() == EDGE) + { + edge_pointer e = static_cast(point.base_element()); + list_pointer list = interval_list(e); + double position = std::min(point.distance(e->v0()), e->length()); + interval_pointer interval = list->covering_interval(position); + //assert(interval); + if(interval && interval->visible_from_source()) + { + return (long)interval->source_index(); + } + else + { + return -1; + } + } + else if(point.type() == FACE) + { + return -1; + } + else if(point.type() == VERTEX) + { + vertex_pointer v = static_cast(point.base_element()); + for(unsigned i=0; iadjacent_edges().size(); ++i) + { + edge_pointer e = v->adjacent_edges()[i]; + list_pointer list = interval_list(e); + + double position = e->v0()->id() == v->id() ? 0.0 : e->length(); + interval_pointer interval = list->covering_interval(position); + if(interval && interval->visible_from_source()) + { + return (long)interval->source_index(); + } + } + + return -1; + } + + assert(0); + return 0; +} + +inline double GeodesicAlgorithmExact::compute_positive_intersection(double start, + double pseudo_x, + double pseudo_y, + double sin_alpha, + double cos_alpha) +{ + assert(pseudo_y < 0); + + double denominator = sin_alpha*(pseudo_x - start) - cos_alpha*pseudo_y; + if(denominator<0.0) + { + return -1.0; + } + + double numerator = -pseudo_y*start; + + if(numerator < 1e-30) + { + return 0.0; + } + + if(denominator < 1e-30) + { + return -1.0; + } + + return numerator/denominator; +} + +inline void GeodesicAlgorithmExact::list_edges_visible_from_source(MeshElementBase* p, + std::vector& storage) +{ + assert(p->type() != UNDEFINED_POINT); + + if(p->type() == FACE) + { + face_pointer f = static_cast(p); + for(unsigned i=0; i<3; ++i) + { + storage.push_back(f->adjacent_edges()[i]); + } + } + else if(p->type() == EDGE) + { + edge_pointer e = static_cast(p); + storage.push_back(e); + } + else //VERTEX + { + vertex_pointer v = static_cast(p); + for(unsigned i=0; iadjacent_edges().size(); ++i) + { + storage.push_back(v->adjacent_edges()[i]); + } + + } +} + +inline bool GeodesicAlgorithmExact::erase_from_queue(interval_pointer p) +{ + if(p->min() < GEODESIC_INF/10.0)// && p->min >= queue->begin()->first) + { + assert(m_queue.count(p)<=1); //the set is unique + + IntervalQueue::iterator it = m_queue.find(p); + + if(it != m_queue.end()) + { + m_queue.erase(it); + return true; + } + } + + return false; +} + +inline unsigned GeodesicAlgorithmExact::intersect_intervals(interval_pointer zero, + IntervalWithStop* one) //intersecting two intervals with up to three intervals in the end +{ + assert(zero->edge()->id() == one->edge()->id()); + assert(zero->stop() > one->start() && zero->start() < one->stop()); + assert(one->min() < GEODESIC_INF/10.0); + + double const local_epsilon = SMALLEST_INTERVAL_RATIO*one->edge()->length(); + + unsigned N=0; + if(zero->min() > GEODESIC_INF/10.0) + { + start[0] = zero->start(); + if(zero->start() < one->start() - local_epsilon) + { + map[0] = OLD; + start[1] = one->start(); + map[1] = NEW; + N = 2; + } + else + { + map[0] = NEW; + N = 1; + } + + if(zero->stop() > one->stop() + local_epsilon) + { + map[N] = OLD; //"zero" interval + start[N++] = one->stop(); + } + + start[N+1] = zero->stop(); + return N; + } + + double const local_small_epsilon = 1e-8*one->edge()->length(); + + double D = zero->d() - one->d(); + double x0 = zero->pseudo_x(); + double x1 = one->pseudo_x(); + double R0 = x0*x0 + zero->pseudo_y()*zero->pseudo_y(); + double R1 = x1*x1 + one->pseudo_y()*one->pseudo_y(); + + double inter[2]; //points of intersection + char Ninter=0; //number of the points of the intersection + + if(std::abs(D)local_small_epsilon) + { + inter[0] = (R1 - R0)/(2.*denom); //one solution + Ninter = 1; + } + } + else + { + double D2 = D*D; + double Q = 0.5*(R1-R0-D2); + double X = x0 - x1; + + double A = X*X - D2; + double B = Q*X + D2*x0; + double C = Q*Q - D2*R0; + + if (std::abs(A)local_small_epsilon) + { + inter[0] = -C/B; //one solution + Ninter = 1; + } + } + else + { + double det = B*B-A*C; + if(det>local_small_epsilon*local_small_epsilon) //two roots + { + det = sqrt(det); + if(A>0.0) //make sure that the roots are ordered + { + inter[0] = (-B - det)/A; + inter[1] = (-B + det)/A; + } + else + { + inter[0] = (-B + det)/A; + inter[1] = (-B - det)/A; + } + + if(inter[1] - inter[0] > local_small_epsilon) + { + Ninter = 2; + } + else + { + Ninter = 1; + } + } + else if(det>=0.0) //single root + { + inter[0] = -B/A; + Ninter = 1; + } + } + } + //---------------------------find possible intervals--------------------------------------- + double left = std::max(zero->start(), one->start()); //define left and right boundaries of the intersection of the intervals + double right = std::min(zero->stop(), one->stop()); + + double good_start[4]; //points of intersection within the (left, right) limits +"left" + "right" + good_start[0] = left; + char Ngood_start=1; //number of the points of the intersection + + for(char i=0; i left + local_epsilon && x < right - local_epsilon) + { + good_start[Ngood_start++] = x; + } + } + good_start[Ngood_start++] = right; + + MapType mid_map[3]; + for(char i=0; isignal(mid) <= one->signal(mid) ? OLD : NEW; + } + + //-----------------------------------output---------------------------------- + N = 0; + if(zero->start() < left - local_epsilon) //additional "zero" interval + { + if(mid_map[0] == OLD) //first interval in the map is already the old one + { + good_start[0] = zero->start(); + } + else + { + map[N] = OLD; //"zero" interval + start[N++] = zero->start(); + } + } + + for(long i=0;istop() > one->stop() + local_epsilon) + { + if(N==0 || map[N-1] == NEW) + { + map[N] = OLD; //"zero" interval + start[N++] = one->stop(); + } + } + + start[0] = zero->start(); // just to make sure that epsilons do not damage anything + //start[N] = zero->stop(); + + return N; +} + +inline void GeodesicAlgorithmExact::initialize_propagation_data() +{ + clear(); + + IntervalWithStop candidate; + std::vector edges_visible_from_source; + for(unsigned i=0; ibase_element(), + edges_visible_from_source); + + for(unsigned j=0; jlength(); + candidate.compute_min_distance(candidate.stop()); + candidate.direction() = Interval::FROM_SOURCE; + + update_list_and_queue(interval_list(e), &candidate, 1); + } + } +} + +inline void GeodesicAlgorithmExact::propagate(std::vector& sources, + double max_propagation_distance, //propagation algorithm stops after reaching the certain distance from the source + std::vector* stop_points) +{ + set_stop_conditions(stop_points, max_propagation_distance); + set_sources(sources); + initialize_propagation_data(); + + clock_t start = clock(); + + m_iterations = 0; //for statistics + m_queue_max_size = 0; + + IntervalWithStop candidates[2]; + + while(!m_queue.empty()) + { + m_queue_max_size = std::max((unsigned int)m_queue.size(), m_queue_max_size); + + unsigned const check_period = 10; + if(++m_iterations % check_period == 0) //check if we covered all required vertices + { + if (check_stop_conditions()) + { + break; + } + } + + interval_pointer min_interval = *m_queue.begin(); + m_queue.erase(m_queue.begin()); + edge_pointer edge = min_interval->edge(); + list_pointer list = interval_list(edge); + + assert(min_interval->d() < GEODESIC_INF); + + bool const first_interval = min_interval->start() == 0.0; + //bool const last_interval = min_interval->stop() == edge->length(); + bool const last_interval = min_interval->next() == NULL; + + bool const turn_left = edge->v0()->saddle_or_boundary(); + bool const turn_right = edge->v1()->saddle_or_boundary(); + + for(unsigned i=0; iadjacent_faces().size(); ++i) //two possible faces to propagate + { + if(!edge->is_boundary()) //just in case, always propagate boundary edges + { + if((i == 0 && min_interval->direction() == Interval::FROM_FACE_0) || + (i == 1 && min_interval->direction() == Interval::FROM_FACE_1)) + { + continue; + } + } + + face_pointer face = edge->adjacent_faces()[i]; //if we come from 1, go to 2 + edge_pointer next_edge = face->next_edge(edge,edge->v0()); + + unsigned num_propagated = compute_propagated_parameters(min_interval->pseudo_x(), + min_interval->pseudo_y(), + min_interval->d(), //parameters of the interval + min_interval->start(), + min_interval->stop(), //start/end of the interval + face->vertex_angle(edge->v0()), //corner angle + next_edge->length(), //length of the new edge + first_interval, //if it is the first interval on the edge + last_interval, + turn_left, + turn_right, + candidates); //if it is the last interval on the edge + bool propagate_to_right = true; + + if(num_propagated) + { + if(candidates[num_propagated-1].stop() != next_edge->length()) + { + propagate_to_right = false; + } + + bool const invert = next_edge->v0()->id() != edge->v0()->id(); //if the origins coinside, do not invert intervals + + construct_propagated_intervals(invert, //do not inverse + next_edge, + face, + candidates, + num_propagated, + min_interval); + + update_list_and_queue(interval_list(next_edge), + candidates, + num_propagated); + } + + if(propagate_to_right) + { + //propogation to the right edge + double length = edge->length(); + next_edge = face->next_edge(edge,edge->v1()); + + num_propagated = compute_propagated_parameters(length - min_interval->pseudo_x(), + min_interval->pseudo_y(), + min_interval->d(), //parameters of the interval + length - min_interval->stop(), + length - min_interval->start(), //start/end of the interval + face->vertex_angle(edge->v1()), //corner angle + next_edge->length(), //length of the new edge + last_interval, //if it is the first interval on the edge + first_interval, + turn_right, + turn_left, + candidates); //if it is the last interval on the edge + + if(num_propagated) + { + bool const invert = next_edge->v0()->id() != edge->v1()->id(); //if the origins coinside, do not invert intervals + + construct_propagated_intervals(invert, //do not inverse + next_edge, + face, + candidates, + num_propagated, + min_interval); + + update_list_and_queue(interval_list(next_edge), + candidates, + num_propagated); + } + } + } + } + + m_propagation_distance_stopped = m_queue.empty() ? GEODESIC_INF : (*m_queue.begin())->min(); + clock_t stop = clock(); + m_time_consumed = (static_cast(stop)-static_cast(start))/CLOCKS_PER_SEC; + +/* for(unsigned i=0; ifirst(); + assert(p->start() == 0.0); + while(p->next()) + { + assert(p->stop() == p->next()->start()); + assert(p->d() < GEODESIC_INF); + p = p->next(); + } + }*/ +} + + +inline bool GeodesicAlgorithmExact::check_stop_conditions() +{ + double queue_distance = (*m_queue.begin())->min(); + if(queue_distance > stop_distance()) + { + return true; + } + + for (unsigned index = 0; index < m_stop_vertices.size(); ++index) + { + vertex_pointer v = m_stop_vertices[index].first; + edge_pointer edge = v->adjacent_edges()[0]; //take any edge + + double distance = edge->v0()->id() == v->id() ? + interval_list(edge)->signal(0.0) : + interval_list(edge)->signal(edge->length()); + + if(queue_distance > distance + m_stop_vertices[index].second) + { + return true; + } + } + return false; +} + + +inline void GeodesicAlgorithmExact::update_list_and_queue(list_pointer list, + IntervalWithStop* candidates, //up to two candidates + unsigned num_candidates) +{ + assert(num_candidates <= 2); + //assert(list->first() != NULL); + edge_pointer edge = list->edge(); + double const local_epsilon = SMALLEST_INTERVAL_RATIO * edge->length(); + + if(list->first() == NULL) + { + interval_pointer* p = &list->first(); + IntervalWithStop* first; + IntervalWithStop* second; + + if(num_candidates == 1) + { + first = candidates; + second = candidates; + first->compute_min_distance(first->stop()); + } + else + { + if(candidates->start() <= (candidates+1)->start()) + { + first = candidates; + second = candidates+1; + } + else + { + first = candidates+1; + second = candidates; + } + assert(first->stop() == second->start()); + + first->compute_min_distance(first->stop()); + second->compute_min_distance(second->stop()); + } + + if(first->start() > 0.0) + { + *p = m_memory_allocator.allocate(); + (*p)->initialize(edge); + p = &(*p)->next(); + } + + *p = m_memory_allocator.allocate(); + memcpy(*p,first,sizeof(Interval)); + m_queue.insert(*p); + + if(num_candidates == 2) + { + p = &(*p)->next(); + *p = m_memory_allocator.allocate(); + memcpy(*p,second,sizeof(Interval)); + m_queue.insert(*p); + } + + if(second->stop() < edge->length()) + { + p = &(*p)->next(); + *p = m_memory_allocator.allocate(); + (*p)->initialize(edge); + (*p)->start() = second->stop(); + } + else + { + (*p)->next() = NULL; + } + return; + } + + bool propagate_flag; + + for(unsigned i=0; ifirst(); + assert(p->start() == 0.0); + + while(p != NULL && p->stop() - local_epsilon < q->start()) + { + p = p->next(); + } + + while(p != NULL && p->start() < q->stop() - local_epsilon) //go through all old intervals + { + unsigned const N = intersect_intervals(p, q); //interset two intervals + + if(N == 1) + { + if(map[0]==OLD) //if "p" is always better, we do not need to update anything) + { + if(previous) //close previous interval and put in into the queue + { + previous->next() = p; + previous->compute_min_distance(p->start()); + m_queue.insert(previous); + previous = NULL; + } + + p = p->next(); + + } + else if(previous) //extend previous interval to cover everything; remove p + { + previous->next() = p->next(); + erase_from_queue(p); + m_memory_allocator.deallocate(p); + + p = previous->next(); + } + else //p becomes "previous" + { + previous = p; + interval_pointer next = p->next(); + erase_from_queue(p); + + memcpy(previous,q,sizeof(Interval)); + + previous->start() = start[0]; + previous->next() = next; + + p = next; + } + continue; + } + + //update_flag = true; + + Interval swap(*p); //used for swapping information + propagate_flag = erase_from_queue(p); + + for(unsigned j=1; jnext() = p; + previous->compute_min_distance(previous->stop()); + m_queue.insert(previous); + previous = NULL; + } + i_new[0] = p; + p->next() = i_new[1]; + p->start() = start[0]; + } + else if(previous) //extend previous interval to cover everything; remove p + { + i_new[0] = previous; + previous->next() = i_new[1]; + m_memory_allocator.deallocate(p); + previous = NULL; + } + else //p becomes "previous" + { + i_new[0] = p; + memcpy(p,q,sizeof(Interval)); + + p->next() = i_new[1]; + p->start() = start[0]; + } + + assert(!previous); + + for(unsigned j=1; jnext() = swap.next(); + } + else + { + current_interval->next() = i_new[j+1]; + } + + current_interval->start() = start[j]; + } + + for(unsigned j=0; jcompute_min_distance(current_interval->stop()); //compute minimal distance + + if(map[j]==NEW || (map[j]==OLD && propagate_flag)) + { + m_queue.insert(current_interval); + } + } + } + + p = swap.next(); + } + + if(previous) //close previous interval and put in into the queue + { + previous->compute_min_distance(previous->stop()); + m_queue.insert(previous); + previous = NULL; + } + } +} + +inline unsigned GeodesicAlgorithmExact::compute_propagated_parameters(double pseudo_x, + double pseudo_y, + double d, //parameters of the interval + double begin, + double end, //start/end of the interval + double alpha, //corner angle + double L, //length of the new edge + bool first_interval, //if it is the first interval on the edge + bool last_interval, + bool turn_left, + bool turn_right, + IntervalWithStop* candidates) //if it is the last interval on the edge +{ + assert(pseudo_y<=0.0); + assert(dstart() = 0.0; + p->stop() = L; + p->d() = d - pseudo_x; + p->pseudo_x() = 0.0; + p->pseudo_y() = 0.0; + return 1; + } + else if(last_interval && pseudo_x >= end) + { + p->start() = 0.0; + p->stop() = L; + p->d() = d + pseudo_x-end; + p->pseudo_x() = end*cos(alpha); + p->pseudo_y() = -end*sin(alpha); + return 1; + } + else if(pseudo_x >= begin && pseudo_x <= end) + { + p->start() = 0.0; + p->stop() = L; + p->d() = d; + p->pseudo_x() = pseudo_x*cos(alpha); + p->pseudo_y() = -pseudo_x*sin(alpha); + return 1; + } + else + { + return 0; + } + } + + double sin_alpha = sin(alpha); + double cos_alpha = cos(alpha); + + //important: for the first_interval, this function returns zero only if the new edge is "visible" from the source + //if the new edge can be covered only after turn_over, the value is negative (-1.0) + double L1 = compute_positive_intersection(begin, + pseudo_x, + pseudo_y, + sin_alpha, + cos_alpha); + + if(L1 < 0 || L1 >= L) + { + if(first_interval && turn_left) + { + p->start() = 0.0; + p->stop() = L; + p->d() = d + sqrt(pseudo_x*pseudo_x + pseudo_y*pseudo_y); + p->pseudo_y() = 0.0; + p->pseudo_x() = 0.0; + return 1; + } + else + { + return 0; + } + } + + double L2 = compute_positive_intersection(end, + pseudo_x, + pseudo_y, + sin_alpha, + cos_alpha); + + if(L2 < 0 || L2 >= L) + { + p->start() = L1; + p->stop() = L; + p->d() = d; + p->pseudo_x() = cos_alpha*pseudo_x + sin_alpha*pseudo_y; + p->pseudo_y() = -sin_alpha*pseudo_x + cos_alpha*pseudo_y; + + return 1; + } + + p->start() = L1; + p->stop() = L2; + p->d() = d; + p->pseudo_x() = cos_alpha*pseudo_x + sin_alpha*pseudo_y; + p->pseudo_y() = -sin_alpha*pseudo_x + cos_alpha*pseudo_y; + assert(p->pseudo_y() <= 0.0); + + if(!(last_interval && turn_right)) + { + return 1; + } + else + { + p = candidates + 1; + + p->start() = L2; + p->stop() = L; + double dx = pseudo_x - end; + p->d() = d + sqrt(dx*dx + pseudo_y*pseudo_y); + p->pseudo_x() = end*cos_alpha; + p->pseudo_y() = -end*sin_alpha; + + return 2; + } +} + +inline void GeodesicAlgorithmExact::construct_propagated_intervals(bool invert, + edge_pointer edge, + face_pointer face, //constructs iNew from the rest of the data + IntervalWithStop* candidates, + unsigned& num_candidates, + interval_pointer source_interval) //up to two candidates +{ + double edge_length = edge->length(); + double local_epsilon = SMALLEST_INTERVAL_RATIO * edge_length; + + //kill very small intervals in order to avoid precision problems + if(num_candidates == 2) + { + double start = std::min(candidates->start(), (candidates+1)->start()); + double stop = std::max(candidates->stop(), (candidates+1)->stop()); + if(candidates->stop()-candidates->start() < local_epsilon) // kill interval 0 + { + *candidates = *(candidates+1); + num_candidates = 1; + candidates->start() = start; + candidates->stop() = stop; + } + else if ((candidates+1)->stop() - (candidates+1)->start() < local_epsilon) + { + num_candidates = 1; + candidates->start() = start; + candidates->stop() = stop; + } + } + + IntervalWithStop* first; + IntervalWithStop* second; + if(num_candidates == 1) + { + first = candidates; + second = candidates; + } + else + { + if(candidates->start() <= (candidates+1)->start()) + { + first = candidates; + second = candidates+1; + } + else + { + first = candidates+1; + second = candidates; + } + assert(first->stop() == second->start()); + } + + if(first->start() < local_epsilon) + { + first->start() = 0.0; + } + if(edge_length - second->stop() < local_epsilon) + { + second->stop() = edge_length; + } + + //invert intervals if necessary; fill missing data and set pointers correctly + Interval::DirectionType direction = edge->adjacent_faces()[0]->id() == face->id() ? + Interval::FROM_FACE_0 : + Interval::FROM_FACE_1; + + if(!invert) //in this case everything is straighforward, we do not have to invert the intervals + { + for(unsigned i=0; inext() = (i == num_candidates - 1) ? NULL : candidates + i + 1; + p->edge() = edge; + p->direction() = direction; + p->source_index() = source_interval->source_index(); + + p->min() = 0.0; //it will be changed later on + + assert(p->start() < p->stop()); + } + } + else //now we have to invert the intervals + { + for(unsigned i=0; inext() = (i == 0) ? NULL : candidates + i - 1; + p->edge() = edge; + p->direction() = direction; + p->source_index() = source_interval->source_index(); + + double length = edge_length; + p->pseudo_x() = length - p->pseudo_x(); + + double start = length - p->stop(); + p->stop() = length - p->start(); + p->start() = start; + + p->min() = 0; + + assert(p->start() < p->stop()); + assert(p->start() >= 0.0); + assert(p->stop() <= edge->length()); + } + } +} + + +inline unsigned GeodesicAlgorithmExact::best_source(SurfacePoint& point, //quickly find what source this point belongs to and what is the distance to this source + double& best_source_distance) +{ + double best_interval_position; + unsigned best_source_index; + + best_first_interval(point, + best_source_distance, + best_interval_position, + best_source_index); + + return best_source_index; +} + +inline interval_pointer GeodesicAlgorithmExact::best_first_interval(SurfacePoint& point, + double& best_total_distance, + double& best_interval_position, + unsigned& best_source_index) +{ + assert(point.type() != UNDEFINED_POINT); + + interval_pointer best_interval = NULL; + best_total_distance = GEODESIC_INF; + + if(point.type() == EDGE) + { + edge_pointer e = static_cast(point.base_element()); + list_pointer list = interval_list(e); + + best_interval_position = point.distance(e->v0()); + best_interval = list->covering_interval(best_interval_position); + if(best_interval) + { + //assert(best_interval && best_interval->d() < GEODESIC_INF); + best_total_distance = best_interval->signal(best_interval_position); + best_source_index = best_interval->source_index(); + } + } + else if(point.type() == FACE) + { + face_pointer f = static_cast(point.base_element()); + for(unsigned i=0; i<3; ++i) + { + edge_pointer e = f->adjacent_edges()[i]; + list_pointer list = interval_list(e); + + double offset; + double distance; + interval_pointer interval; + + list->find_closest_point(&point, + offset, + distance, + interval); + + if(interval && distance < best_total_distance) + { + best_interval = interval; + best_total_distance = distance; + best_interval_position = offset; + best_source_index = interval->source_index(); + } + } + + //check for all sources that might be located inside this face + SortedSources::sorted_iterator_pair local_sources = m_sources.sources(f); + for(SortedSources::sorted_iterator it=local_sources.first; it != local_sources.second; ++it) + { + SurfacePointWithIndex* source = *it; + double distance = point.distance(source); + if(distance < best_total_distance) + { + best_interval = NULL; + best_total_distance = distance; + best_interval_position = 0.0; + best_source_index = source->index(); + } + } + } + else if(point.type() == VERTEX) + { + vertex_pointer v = static_cast(point.base_element()); + for(unsigned i=0; iadjacent_edges().size(); ++i) + { + edge_pointer e = v->adjacent_edges()[i]; + list_pointer list = interval_list(e); + + double position = e->v0()->id() == v->id() ? 0.0 : e->length(); + interval_pointer interval = list->covering_interval(position); + if(interval) + { + double distance = interval->signal(position); + + if(distance < best_total_distance) + { + best_interval = interval; + best_total_distance = distance; + best_interval_position = position; + best_source_index = interval->source_index(); + } + } + } + } + + if(best_total_distance > m_propagation_distance_stopped) //result is unreliable + { + best_total_distance = GEODESIC_INF; + return NULL; + } + else + { + return best_interval; + } +} + +inline void GeodesicAlgorithmExact::trace_back(SurfacePoint& destination, //trace back piecewise-linear path + std::vector& path) +{ + path.clear(); + double best_total_distance; + double best_interval_position; + unsigned source_index = std::numeric_limits::max(); + interval_pointer best_interval = best_first_interval(destination, + best_total_distance, + best_interval_position, + source_index); + + if(best_total_distance >= GEODESIC_INF/2.0) //unable to find the right path + { + return; + } + + path.push_back(destination); + + if(best_interval) //if we did not hit the face source immediately + { + std::vector possible_edges; + possible_edges.reserve(10); + + while(visible_from_source(path.back()) < 0) //while this point is not in the direct visibility of some source (if we are inside the FACE, we obviously hit the source) + { + SurfacePoint& q = path.back(); + + possible_traceback_edges(q, possible_edges); + + interval_pointer interval; + double total_distance; + double position; + + best_point_on_the_edge_set(q, + possible_edges, + interval, + total_distance, + position); + + //std::cout << total_distance + length(path) << std::endl; + assert(total_distancesource_index(); + + edge_pointer e = interval->edge(); + double local_epsilon = SMALLEST_INTERVAL_RATIO*e->length(); + if(position < local_epsilon) + { + path.push_back(SurfacePoint(e->v0())); + } + else if(position > e->length()-local_epsilon) + { + path.push_back(SurfacePoint(e->v1())); + } + else + { + double normalized_position = position/e->length(); + path.push_back(SurfacePoint(e, normalized_position)); + } + } + } + + SurfacePoint& source = static_cast(m_sources[source_index]); + if(path.back().distance(&source) > 0) + { + path.push_back(source); + } +} + +inline void GeodesicAlgorithmExact::print_statistics() +{ + GeodesicAlgorithmBase::print_statistics(); + + unsigned interval_counter = 0; + for(unsigned i=0; i +#include +#include +#include + +namespace geodesic{ + +class Interval; +class IntervalList; +typedef Interval* interval_pointer; +typedef IntervalList* list_pointer; + +class Interval //interval of the edge +{ +public: + + Interval(){}; + ~Interval(){}; + + enum DirectionType + { + FROM_FACE_0, + FROM_FACE_1, + FROM_SOURCE, + UNDEFINED_DIRECTION + }; + + double signal(double x) //geodesic distance function at point x + { + assert(x>=0.0 && x <= m_edge->length()); + + if(m_d == GEODESIC_INF) + { + return GEODESIC_INF; + } + else + { + double dx = x - m_pseudo_x; + if(m_pseudo_y == 0.0) + { + return m_d + std::abs(dx); + } + else + { + return m_d + sqrt(dx*dx + m_pseudo_y*m_pseudo_y); + } + } + } + + double max_distance(double end) + { + if(m_d == GEODESIC_INF) + { + return GEODESIC_INF; + } + else + { + double a = std::abs(m_start - m_pseudo_x); + double b = std::abs(end - m_pseudo_x); + + return a > b ? m_d + sqrt(a*a + m_pseudo_y*m_pseudo_y): + m_d + sqrt(b*b + m_pseudo_y*m_pseudo_y); + } + } + + void compute_min_distance(double stop) //compute min, given c,d theta, start, end. + { + assert(stop > m_start); + + if(m_d == GEODESIC_INF) + { + m_min = GEODESIC_INF; + } + else if(m_start > m_pseudo_x) + { + m_min = signal(m_start); + } + else if(stop < m_pseudo_x) + { + m_min = signal(stop); + } + else + { + assert(m_pseudo_y<=0); + m_min = m_d - m_pseudo_y; + } + } + //compare two intervals in the queue + bool operator()(interval_pointer const x, interval_pointer const y) const + { + if(x->min() != y->min()) + { + return x->min() < y->min(); + } + else if(x->start() != y->start()) + { + return x->start() < y->start(); + } + else + { + return x->edge()->id() < y->edge()->id(); + } + } + + double stop() //return the endpoint of the interval + { + return m_next ? m_next->start() : m_edge->length(); + } + + double hypotenuse(double a, double b) + { + return sqrt(a*a + b*b); + } + + void find_closest_point(double const x, + double const y, + double& offset, + double& distance); //find the point on the interval that is closest to the point (alpha, s) + + double& start(){return m_start;}; + double& d(){return m_d;}; + double& pseudo_x(){return m_pseudo_x;}; + double& pseudo_y(){return m_pseudo_y;}; + double& min(){return m_min;}; + interval_pointer& next(){return m_next;}; + edge_pointer& edge(){return m_edge;}; + DirectionType& direction(){return m_direction;}; + bool visible_from_source(){return m_direction == FROM_SOURCE;}; + unsigned& source_index(){return m_source_index;}; + + void initialize(edge_pointer edge, + SurfacePoint* point = NULL, + unsigned source_index = 0); + +protected: + double m_start; //initial point of the interval on the edge + double m_d; //distance from the source to the pseudo-source + double m_pseudo_x; //coordinates of the pseudo-source in the local coordinate system + double m_pseudo_y; //y-coordinate should be always negative + double m_min; //minimum distance on the interval + + interval_pointer m_next; //pointer to the next interval in the list + edge_pointer m_edge; //edge that the interval belongs to + unsigned m_source_index; //the source it belongs to + DirectionType m_direction; //where the interval is coming from +}; + +struct IntervalWithStop : public Interval +{ +public: + double& stop(){return m_stop;}; +protected: + double m_stop; +}; + +class IntervalList //list of the of intervals of the given edge +{ +public: + IntervalList(){m_first = NULL;}; + ~IntervalList(){}; + + void clear() + { + m_first = NULL; + }; + + void initialize(edge_pointer e) + { + m_edge = e; + m_first = NULL; + }; + + interval_pointer covering_interval(double offset) //returns the interval that covers the offset + { + assert(offset >= 0.0 && offset <= m_edge->length()); + + interval_pointer p = m_first; + while(p && p->stop() < offset) + { + p = p->next(); + } + + return p;// && p->start() <= offset ? p : NULL; + }; + + void find_closest_point(SurfacePoint* point, + double& offset, + double& distance, + interval_pointer& interval) + { + interval_pointer p = m_first; + distance = GEODESIC_INF; + interval = NULL; + + double x,y; + m_edge->local_coordinates(point, x, y); + + while(p) + { + if(p->min()find_closest_point(x, y, o, d); + if(d < distance) + { + distance = d; + offset = o; + interval = p; + } + } + p = p->next(); + } + }; + + unsigned number_of_intervals() + { + interval_pointer p = m_first; + unsigned count = 0; + while(p) + { + ++count; + p = p->next(); + } + return count; + } + + interval_pointer last() + { + interval_pointer p = m_first; + if(p) + { + while(p->next()) + { + p = p->next(); + } + } + return p; + } + + double signal(double x) + { + interval_pointer interval = covering_interval(x); + + return interval ? interval->signal(x) : GEODESIC_INF; + } + + interval_pointer& first(){return m_first;}; + edge_pointer& edge(){return m_edge;}; +private: + interval_pointer m_first; //pointer to the first member of the list + edge_pointer m_edge; //edge that owns this list +}; + +class SurfacePointWithIndex : public SurfacePoint +{ +public: + unsigned index(){return m_index;}; + + void initialize(SurfacePoint& p, unsigned index) + { + SurfacePoint::initialize(p); + m_index = index; + } + + bool operator()(SurfacePointWithIndex* x, SurfacePointWithIndex* y) const //used for sorting + { + assert(x->type() != UNDEFINED_POINT && y->type() !=UNDEFINED_POINT); + + if(x->type() != y->type()) + { + return x->type() < y->type(); + } + else + { + return x->base_element()->id() < y->base_element()->id(); + } + } + +private: + unsigned m_index; +}; + +class SortedSources : public std::vector +{ +private: + typedef std::vector sorted_vector_type; +public: + typedef sorted_vector_type::iterator sorted_iterator; + typedef std::pair sorted_iterator_pair; + + sorted_iterator_pair sources(base_pointer mesh_element) + { + m_search_dummy.base_element() = mesh_element; + + return equal_range(m_sorted.begin(), + m_sorted.end(), + &m_search_dummy, + m_compare_less); + } + + void initialize(std::vector& sources) //we initialize the sources by copie + { + resize(sources.size()); + m_sorted.resize(sources.size()); + for(unsigned i=0; ilength(); + if(std::abs(hs+hc) < local_epsilon) + { + if(rs<=m_start) + { + r = m_start; + d_out = signal(m_start) + std::abs(rs - m_start); + } + else if(rs>=end) + { + r = end; + d_out = signal(end) + fabs(end - rs); + } + else + { + r = rs; + d_out = signal(rs); + } + } + else + { + double ri = (rs*hc + hs*rc)/(hs+hc); + + if(riend) + { + r = end; + d_out = signal(end) + hypotenuse(end - rs, hs); + } + else + { + r = ri; + d_out = m_d + hypotenuse(rc - rs, hc + hs); + } + } + } + + +inline void Interval::initialize(edge_pointer edge, + SurfacePoint* source, + unsigned source_index) +{ + m_next = NULL; + //m_geodesic_previous = NULL; + m_direction = UNDEFINED_DIRECTION; + m_edge = edge; + m_source_index = source_index; + + m_start = 0.0; + //m_stop = edge->length(); + if(!source) + { + m_d = GEODESIC_INF; + m_min = GEODESIC_INF; + return; + } + m_d = 0; + + if(source->base_element()->type() == VERTEX) + { + if(source->base_element()->id() == edge->v0()->id()) + { + m_pseudo_x = 0.0; + m_pseudo_y = 0.0; + m_min = 0.0; + return; + } + else if(source->base_element()->id() == edge->v1()->id()) + { + m_pseudo_x = stop(); + m_pseudo_y = 0.0; + m_min = 0.0; + return; + } + } + + edge->local_coordinates(source, m_pseudo_x, m_pseudo_y); + m_pseudo_y = -m_pseudo_y; + + compute_min_distance(stop()); +} + +} //geodesic + +#endif //GEODESIC_ALGORITHM_EXACT_ELEMENTS_20071231 diff --git a/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_algorithm_graph_base.h b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_algorithm_graph_base.h new file mode 100644 index 0000000..9f4cd87 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_algorithm_graph_base.h @@ -0,0 +1,277 @@ +#ifndef GEODESIC_ALGORITHM_GRAPH_BASE_010907 +#define GEODESIC_ALGORITHM_GRAPH_BASE_010907 + +#include "geodesic_algorithm_base.h" +#include "geodesic_mesh_elements.h" +#include +#include +#include + +namespace geodesic{ + +template +class GeodesicAlgorithmGraphBase: public GeodesicAlgorithmBase +{ +public: + typedef Node* node_pointer; + + GeodesicAlgorithmGraphBase(geodesic::Mesh* mesh = 0): + GeodesicAlgorithmBase(mesh) + {}; + + ~GeodesicAlgorithmGraphBase(){}; + + void propagate(std::vector& sources, + double max_propagation_distance = GEODESIC_INF, //propagation algorithm stops after reaching the certain distance from the source + std::vector* stop_points = NULL); //or after ensuring that all the stop_points are covered + + void trace_back(SurfacePoint& destination, //trace back piecewise-linear path + std::vector& path); + + unsigned best_source(SurfacePoint& point, //quickly find what source this point belongs to and what is the distance to this source + double& best_source_distance); + + void print_statistics() + { + GeodesicAlgorithmBase::print_statistics(); + + double memory = m_nodes.size()*sizeof(Node); + std::cout << "uses about " << memory/1e6 << "Mb of memory" <id(); + }; + + void set_sources(std::vector& sources) + { + m_sources = sources; + } + + node_pointer best_first_node(SurfacePoint& point, double& best_total_distance) + { + node_pointer best_node = NULL; + if(point.type() == VERTEX) + { + vertex_pointer v = (vertex_pointer)point.base_element(); + best_node = &m_nodes[node_index(v)]; + best_total_distance = best_node->distance_from_source(); + } + else + { + std::vector possible_nodes; + list_nodes_visible_from_source(point.base_element(), possible_nodes); + + best_total_distance = GEODESIC_INF; + for(unsigned i=0; idistance(&point); + if(node->distance_from_source() + distance_from_dest < best_total_distance) + { + best_total_distance = node->distance_from_source() + distance_from_dest; + best_node = node; + } + } + } + + //assert(best_node); + //assert(best_total_distance m_propagation_distance_stopped) //result is unreliable + { + best_total_distance = GEODESIC_INF; + return NULL; + } + else + { + return best_node; + } + }; //quickly find what node will be the next one in geodesic path + + bool check_stop_conditions(); //check when propagation should stop + + virtual void list_nodes_visible_from_source(MeshElementBase* p, + std::vector& storage) = 0; //list all nodes that belong to this mesh element + + virtual void list_nodes_visible_from_node(node_pointer node, //list all nodes that belong to this mesh element + std::vector& storage, + std::vector& distances, + double threshold_distance) = 0; //list only the nodes whose current distance is larger than the threshold + + std::vector m_nodes; //nodes of the graph + + typedef std::set queue_type; + queue_type m_queue; + + std::vector m_sources; //for simplicity, we keep sources as they are +}; + +template +void GeodesicAlgorithmGraphBase::propagate(std::vector& sources, + double max_propagation_distance, //propagation algorithm stops after reaching the certain distance from the source + std::vector* stop_points) //or after ensuring that all the stop_points are covered +{ + set_stop_conditions(stop_points, max_propagation_distance); + set_sources(sources); + + m_queue.clear(); + m_propagation_distance_stopped = GEODESIC_INF; + for(unsigned i=0; i visible_nodes; //initialize vertices directly visible from sources + for(unsigned i=0; ibase_element(), + visible_nodes); + + for(unsigned j=0; jdistance(source); + if(distance < node->distance_from_source()) + { + node->distance_from_source() = distance; + node->source_index() = i; + node->previous() = NULL; + } + } + visible_nodes.clear(); + } + + for(unsigned i=0; i distances_between_nodes; + while(!m_queue.empty()) //main cycle + { + if(counter++ % 10 == 0) //check if we covered all required vertices + { + if (check_stop_conditions()) + { + break; + } + } + + node_pointer min_node = *m_queue.begin(); + m_queue.erase(m_queue.begin()); + assert(min_node->distance_from_source() < GEODESIC_INF); + + visible_nodes.clear(); + distances_between_nodes.clear(); + list_nodes_visible_from_node(min_node, + visible_nodes, + distances_between_nodes, + min_node->distance_from_source()); + + for(unsigned i=0; idistance_from_source() > min_node->distance_from_source() + + distances_between_nodes[i]) + { + if(next_node->distance_from_source() < GEODESIC_INF) //remove it from the queue + { + typename queue_type::iterator iter = m_queue.find(next_node); + assert(iter != m_queue.end()); + m_queue.erase(iter); + } + next_node->distance_from_source() = min_node->distance_from_source() + + distances_between_nodes[i]; + next_node->source_index() = min_node->source_index(); + next_node->previous() = min_node; + m_queue.insert(next_node); + } + } + } + + m_propagation_distance_stopped = m_queue.empty() ? GEODESIC_INF : (*m_queue.begin())->distance_from_source(); + clock_t finish = clock(); + m_time_consumed = (static_cast(finish)-static_cast(start))/CLOCKS_PER_SEC; + //std::cout << std::endl; +} + +template +inline bool GeodesicAlgorithmGraphBase::check_stop_conditions() +{ + double queue_min_distance = (*m_queue.begin())->distance_from_source(); + + if(queue_min_distance > m_max_propagation_distance) + { + return true; + } + + for (unsigned index = 0; index < m_stop_vertices.size(); ++index) + { + vertex_pointer v = m_stop_vertices[index].first; + Node& node = m_nodes[node_index(v)]; + if(queue_min_distance > node.distance_from_source() + m_stop_vertices[index].second) + { + return true; + } + } + return false; +} + +template +inline void GeodesicAlgorithmGraphBase::trace_back(SurfacePoint& destination, //trace back piecewise-linear path + std::vector& path) +{ + path.clear(); + + double total_path_length; + node_pointer node = best_first_node(destination, total_path_length); + + if(total_path_length>GEODESIC_INF/2.0) //unable to find the path + { + return; + } + + path.push_back(destination); + + if(node->distance(&destination) > 1e-50) + { + path.push_back(node->surface_point()); + } + + while(node->previous()) //follow the path + { + node = node->previous(); + path.push_back(node->surface_point()); + } + + SurfacePoint& source = m_sources[node->source_index()]; //add source to the path if it is not already there + if(node->distance(&source) > 1e-50) + { + path.push_back(source); + } +} + + +template +inline unsigned GeodesicAlgorithmGraphBase::best_source(SurfacePoint& point, //quickly find what source this point belongs to and what is the distance to this source + double& best_source_distance) +{ + node_pointer node = best_first_node(point, best_source_distance); + return node ? node->source_index() : 0; +}; + +} //geodesic + +#endif //GEODESIC_ALGORITHM_GRAPH_BASE_010907 diff --git a/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_algorithm_subdivision.h b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_algorithm_subdivision.h new file mode 100644 index 0000000..03be56e --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_algorithm_subdivision.h @@ -0,0 +1,271 @@ +//Copyright (C) 2008 Danil Kirsanov, MIT License +#ifndef GEODESIC_ALGORITHM_SUBDIVISION_122806 +#define GEODESIC_ALGORITHM_SUBDIVISION_122806 + +#include "geodesic_algorithm_graph_base.h" +#include "geodesic_mesh_elements.h" +#include +#include +#include + +namespace geodesic{ + +class SubdivisionNode: public SurfacePoint +{ + typedef SubdivisionNode* node_pointer; +public: + SubdivisionNode(){}; + + template + SubdivisionNode(Pointer p): + SurfacePoint(p), + m_previous(NULL), + m_distance(0.0) + {}; + + template + SubdivisionNode(Pointer p, Parameter param): + SurfacePoint(p, param), + m_previous(NULL), + m_distance(0.0) + {}; + + ~SubdivisionNode(){}; + + double& distance_from_source(){return m_distance;}; + node_pointer& previous(){return m_previous;}; + unsigned& source_index(){return m_source_index;}; + + void clear() + { + m_distance = GEODESIC_INF; + m_previous = NULL; + } + + bool operator()(node_pointer const s1, node_pointer const s2) const + { + if(s1 == s2) + { + return false; + } + if(s1->distance_from_source() != s2->distance_from_source()) + { + return s1->distance_from_source() < s2->distance_from_source(); + } +/* if(s1->type() != s2->type()) + { + return s1->type() < s2->type(); + } + if(s1->base_element()->id() != s2->base_element()->id()) + { + return s1->base_element()->id() < s2->base_element()->id(); + } */ + if(s1->x() != s2->x()) //two nodes cannot be located in the same space + { + return s1->x() < s2->x(); + } + if(s1->y() != s2->y()) + { + return s1->y() < s2->y(); + } + if(s1->z() != s2->z()) + { + return s1->z() < s2->z(); + } + + assert(0); + return true; + }; + + SurfacePoint& surface_point(){return static_cast(*this);}; + +private: + double m_distance; //distance to the closest source + unsigned m_source_index; //closest source index + node_pointer m_previous; //previous node in the geodesic path +}; + +class GeodesicAlgorithmSubdivision: public GeodesicAlgorithmGraphBase +{ + typedef SubdivisionNode Node; +public: + GeodesicAlgorithmSubdivision() {} + GeodesicAlgorithmSubdivision(geodesic::Mesh* mesh, + unsigned subdivision_level): + GeodesicAlgorithmGraphBase(mesh) + { + m_type = SUBDIVISION; + + m_nodes.reserve(mesh->vertices().size()); + for(unsigned i=0; ivertices().size(); ++i) + { + vertex_pointer v = &mesh->vertices()[i]; + m_nodes.push_back(Node(v)); //!! + } + + set_subdivision_level(subdivision_level); + }; + + ~GeodesicAlgorithmSubdivision(){}; + + unsigned subdivision_level(){return m_subdivision_level;}; + + void set_subdivision_level(unsigned subdivision_level) + { + m_subdivision_level = subdivision_level; + + m_nodes.resize(m_mesh->vertices().size()); + m_nodes.reserve(m_mesh->vertices().size() + + m_mesh->edges().size()*subdivision_level); + + for(unsigned i=0; iedges().size(); ++i) + { + edge_pointer e = &m_mesh->edges()[i]; + for(unsigned i=0; i& storage); //list all nodes that belong to this mesh element + + void list_nodes_visible_from_node(node_pointer node, //list all nodes that belong to this mesh element + std::vector& storage, + std::vector& distances, + double threshold_distance); //list only the nodes whose current distance is larger than the threshold + + unsigned node_indexx(edge_pointer e) + { + return e->id()*m_subdivision_level + m_mesh->vertices().size(); + }; + +private: + void list_nodes(MeshElementBase* p, //list nodes that belong to this mesh element + std::vector& storage, + double threshold_distance = -1.0); //list only the nodes whose current distance is larger than the threshold + + unsigned m_subdivision_level; //when level is equal to 1, this algorithm corresponds to the Dijkstra algorithm +}; + +inline void GeodesicAlgorithmSubdivision::list_nodes(MeshElementBase* p, + std::vector& storage, + double threshold_distance) +{ + assert(p->type() != UNDEFINED_POINT); + + if(p->type() == VERTEX) + { + vertex_pointer v = static_cast(p); + node_pointer node = &m_nodes[node_index(v)]; + if(node->distance_from_source() > threshold_distance) + { + storage.push_back(node); + } + } + else if(p->type() == EDGE) + { + edge_pointer e = static_cast(p); + unsigned node_index = node_indexx(e); + for(unsigned i=0; idistance_from_source() > threshold_distance) + { + storage.push_back(node); + } + } + } + //FACE has no nodes +} + +inline void GeodesicAlgorithmSubdivision::list_nodes_visible_from_source(MeshElementBase* p, + std::vector& storage) +{ + assert(p->type() != UNDEFINED_POINT); + + if(p->type() == FACE) + { + face_pointer f = static_cast(p); + for(unsigned i=0; i<3; ++i) + { + list_nodes(f->adjacent_vertices()[i],storage); + list_nodes(f->adjacent_edges()[i],storage); + } + } + else if(p->type() == EDGE) + { + list_nodes(p,storage); + list_nodes(p->adjacent_vertices()[0],storage); + list_nodes(p->adjacent_vertices()[1],storage); + } + else //VERTEX + { + list_nodes(p,storage); + } +} + +inline void GeodesicAlgorithmSubdivision::list_nodes_visible_from_node(node_pointer node, //list all nodes that belong to this mesh element + std::vector& storage, + std::vector& distances, + double threshold_distance) +{ + MeshElementBase* p = node->base_element(); + assert(p->type() != UNDEFINED_POINT); + assert(storage.size() == distances.size()); + + if(p->type() == VERTEX) + { + vertex_pointer v = static_cast(p); + + for(unsigned i=0; iadjacent_edges().size(); ++i) + { + edge_pointer e = v->adjacent_edges()[i]; + vertex_pointer v_opposite = e->opposite_vertex(v); + list_nodes(e, storage, threshold_distance); + list_nodes(v_opposite, storage, threshold_distance); + } + for(unsigned i=0; iadjacent_faces().size(); ++i) + { + face_pointer f = v->adjacent_faces()[i]; + edge_pointer e = f->opposite_edge(v); + list_nodes(e, storage, threshold_distance); + } + } + else if(p->type() == EDGE) + { + edge_pointer e = static_cast(p); + + vertex_pointer v0 = e->adjacent_vertices()[0]; + vertex_pointer v1 = e->adjacent_vertices()[1]; + list_nodes(v0, storage, threshold_distance); + list_nodes(v1, storage, threshold_distance); + + for(unsigned i=0; iadjacent_faces().size(); ++i) + { + face_pointer f = e->adjacent_faces()[i]; + + list_nodes(f->next_edge(e,v0), storage, threshold_distance); + list_nodes(f->next_edge(e,v1), storage, threshold_distance); + list_nodes(f->opposite_vertex(e), storage, threshold_distance); + } + } + else + { + assert(0); + } + + unsigned index = distances.size(); + distances.resize(storage.size()); + for(; indexdistance(&storage[index]->surface_point()); + } +} + +} //geodesic + +#endif //GEODESIC_ALGORITHM_SUBDIVISION_122806 diff --git a/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_constants_and_simple_functions.h b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_constants_and_simple_functions.h new file mode 100644 index 0000000..43d56a9 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_constants_and_simple_functions.h @@ -0,0 +1,81 @@ +//Copyright (C) 2008 Danil Kirsanov, MIT License +#ifndef GEODESIC_CONSTANTS_20071231 +#define GEODESIC_CONSTANTS_20071231 + +// some constants and simple math functions + +#include +#include +#include +#include + +namespace geodesic{ + +#ifndef M_PI +#define M_PI 3.14159265358979323846 +#endif + +//double const GEODESIC_INF = std::numeric_limits::max(); +double const GEODESIC_INF = 1e100; + +//in order to avoid numerical problems with "infinitely small" intervals, +//we drop all the intervals smaller than SMALLEST_INTERVAL_RATIO*edge_length +double const SMALLEST_INTERVAL_RATIO = 1e-6; +//double const SMALL_EPSILON = 1e-10; + + +inline double cos_from_edges(double const a, //compute the cosine of the angle given the lengths of the edges + double const b, + double const c) +{ + assert(a>1e-50); + assert(b>1e-50); + assert(c>1e-50); + + double result = (b*b + c*c - a*a)/(2.0*b*c); + result = std::max(result, -1.0); + return std::min(result, 1.0); +} + +inline double angle_from_edges(double const a, //compute the cosine of the angle given the lengths of the edges + double const b, + double const c) +{ + return acos(cos_from_edges(a,b,c)); +} + +template +inline bool read_mesh_from_file(char* filename, + Points& points, + Faces& faces) +{ + std::ifstream file(filename); + assert(file.is_open()); + if(!file.is_open()) return false; + + unsigned num_points; + file >> num_points; + assert(num_points>=3); + + unsigned num_faces; + file >> num_faces; + + points.resize(num_points*3); + for(typename Points::iterator i=points.begin(); i!=points.end(); ++i) + { + file >> *i; + } + + faces.resize(num_faces*3); + for(typename Faces::iterator i=faces.begin(); i!=faces.end(); ++i) + { + file >> *i; + } + file.close(); + + return true; +} + +} //geodesic + +#endif //GEODESIC_CONSTANTS_20071231 diff --git a/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_matlab_api.cpp b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_matlab_api.cpp new file mode 100644 index 0000000..27c69ae --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_matlab_api.cpp @@ -0,0 +1,232 @@ +#define GEODESIC_DLL_IMPORT __declspec(dllexport) + +#include + +#include +#include +#include + +#include "geodesic_mesh.h" +#include "geodesic_algorithm_dijkstra_alternative.h" +#include "geodesic_algorithm_dijkstra.h" +#include "geodesic_algorithm_subdivision.h" +#include "geodesic_algorithm_exact.h" +#include "geodesic_matlab_api.h" + +typedef boost::shared_ptr mesh_shared_pointer; +std::vector meshes; + +typedef boost::shared_ptr algorithm_shared_pointer; +std::vector algorithms; + +std::vector output_path; +geodesic::OutputBuffer output_buffer, output_buffer1; + + +std::size_t find_mesh_id(geodesic::Mesh* mesh) +{ + for(std::size_t i=0; imesh()); + geodesic::fill_surface_point_structure(&point, + destination, + algorithm->mesh()); + + std::size_t best_source = algorithm->best_source(point, + *best_source_distance); + return best_source; +} + +long distance_and_source_for_all_vertices(long algorithm_id, //same idea as in the previous function + double** distances, //list distance/source info for all vertices of the mesh + long** sources) +{ + + geodesic::GeodesicAlgorithmBase* algorithm = algorithms[algorithm_id].get(); + geodesic::Mesh* mesh = algorithm->mesh(); + + output_buffer.allocate(mesh->vertices().size()); //allocate space for distances + *distances = output_buffer.get(); + + output_buffer1.allocate(mesh->vertices().size()); //allocate space for sources + *sources = output_buffer1.get(); + + + for(std::size_t i = 0; i < mesh->vertices().size(); ++i) + { + geodesic::SurfacePoint point(&mesh->vertices()[i]); + double* distace_location = *distances + i; + (*sources)[i] = algorithm->best_source(point, *distace_location); + } + + return mesh->vertices().size(); +} + + +long trace_back(long algorithm_id, + double* destination, + double** path) +{ + geodesic::SurfacePoint point; + geodesic::GeodesicAlgorithmBase* algorithm = algorithms[algorithm_id].get(); + geodesic::fill_surface_point_structure(&point, + destination, + algorithm->mesh()); + + algorithm->trace_back(point, + output_path); + + std::size_t mesh_id = find_mesh_id(algorithm->mesh()); + output_buffer.allocate(output_path.size()*5); + for(std::size_t i=0; i() + 5*i, + mesh_id); + } + + *path = output_buffer.get(); + + return output_path.size(); +} + +void propagate(long algorithm_id, + double* source_points, + long num_sources, + double* stop_points, + long num_stop_points, + double max_propagation_distance) +{ + std::vector sources(num_sources); + + geodesic::Mesh* mesh = algorithms[algorithm_id]->mesh(); + for(std::size_t i=0; i stop(num_stop_points); + for(std::size_t i=0; ipropagate(sources, + max_propagation_distance, + &stop); +} + + +long new_mesh(long num_points, + double* points, + long num_triangles, + long* triangles, + long* num_edges, + double** edges) +{ + mesh_shared_pointer new_mesh = mesh_shared_pointer(new geodesic::Mesh); + meshes.push_back(new_mesh); + + new_mesh->initialize_mesh_data(num_points, + points, + num_triangles, + triangles); + + *num_edges = new_mesh->edges().size(); + + output_buffer.allocate(*num_edges * 4); + *edges = output_buffer.get(); + + for(std::size_t i=0; i<*num_edges; ++i) + { + geodesic::Edge& edge = new_mesh->edges()[i]; + double* buffer = *edges + 4*i; + + buffer[0] = edge.adjacent_vertices()[0]->id(); + buffer[1] = edge.adjacent_vertices()[1]->id(); + buffer[2] = edge.adjacent_faces()[0]->id(); + buffer[3] = edge.adjacent_faces().size() == 2 ? + edge.adjacent_faces()[1]->id() : + -1; + } + + return meshes.size() - 1; +} + +long new_algorithm(long mesh_id, + long type, + long subdivision) +{ + if(subdivision == 0 && type == 1)//SUBDIVISION) + { + type = 2; //DIJKSTRA; + } + + geodesic::Mesh* mesh = meshes[mesh_id].get(); + geodesic::GeodesicAlgorithmBase* algorithm; + switch(type) + { + case 2: //DIJKSTRA + { + algorithm = new geodesic::GeodesicAlgorithmDijkstra(mesh); + break; + } + case 1: //SUBDIVISION: + { + algorithm = new geodesic::GeodesicAlgorithmSubdivision(mesh, subdivision); + break; + } + case 0://EXACT: + default: + { + algorithm = new geodesic::GeodesicAlgorithmExact(mesh); + break; + } + } + + algorithms.push_back(algorithm_shared_pointer(algorithm)); + + return algorithms.size() - 1; +} + +void delete_mesh(long id) //delete mesh and all related algorithms +{ + assert(id < meshes.size()); + + geodesic::Mesh* mesh = meshes[id].get(); + for(std::size_t i=0; imesh() == mesh) + { + algorithms[i] = algorithm_shared_pointer(); + } + } + + meshes[id] = mesh_shared_pointer(); +} + +void delete_algorithm(long id) +{ + if(id < algorithms.size()) + { + algorithms[id] = algorithm_shared_pointer(); + } +} diff --git a/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_matlab_api.h b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_matlab_api.h new file mode 100644 index 0000000..b1d5b7f --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_matlab_api.h @@ -0,0 +1,46 @@ +#ifndef GEODESIC_DLL_HEADER_HPP_234232 +#define GEODESIC_DLL_HEADER_HPP_234232 + +#ifdef __cplusplus +extern "C" { +#endif + +long new_mesh(long num_points, //creates new mesh + double* points, + long num_triangles, + long* triangles, + long* num_edges, + double** edges); + +long new_algorithm(long mesh_id, //creates a geodesic algorithm for a given mesh + long type, + long subdivision); + +void delete_algorithm(long id); + +void delete_mesh(long id); //delete mesh and all associated algorithms + +void propagate(long algorithm_id, //compute distance field for given source points + double* source_points, + long num_sources, + double* stop_points, //limitations on distance field propagation + long num_stop_points, + double max_propagation_distance); + +long trace_back(long algorithm_id, //using procomputed distance field, compute a shortest path from destination to the closest source + double* destination, + double** path); + +long distance_and_source(long algorithm_id, //quickly find what source this point belongs to and what is the distance to this source + double* destination, + double* best_source_distance); + +long distance_and_source_for_all_vertices(long algorithm_id, //same idea as in the previous function + double** distances, //list distance/source info for all vertices of the mesh + long** sources); + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_memory.h b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_memory.h new file mode 100644 index 0000000..a6ffcfb --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_memory.h @@ -0,0 +1,194 @@ +//Copyright (C) 2008 Danil Kirsanov, MIT License +#ifndef _GEODESIC_MEMORY_20071231 +#define _GEODESIC_MEMORY_20071231 + +//two fast and simple memory allocators + +#include +#include +#include + +namespace geodesic{ + +template //quickly allocates multiple elements of a given type; no deallocation +class SimlpeMemoryAllocator +{ +public: + typedef T* pointer; + + SimlpeMemoryAllocator(unsigned block_size = 0, + unsigned max_number_of_blocks = 0) + { + reset(block_size, + max_number_of_blocks); + }; + + ~SimlpeMemoryAllocator(){}; + + void reset(unsigned block_size, + unsigned max_number_of_blocks) + { + m_block_size = block_size; + m_max_number_of_blocks = max_number_of_blocks; + + + m_current_position = 0; + + m_storage.reserve(max_number_of_blocks); + m_storage.resize(1); + m_storage[0].resize(block_size); + }; + + pointer allocate(unsigned const n) //allocate n units + { + assert(n < m_block_size); + + if(m_current_position + n >= m_block_size) + { + m_storage.push_back( std::vector() ); + m_storage.back().resize(m_block_size); + m_current_position = 0; + } + pointer result = & m_storage.back()[m_current_position]; + m_current_position += n; + + return result; + }; +private: + std::vector > m_storage; + unsigned m_block_size; //size of a single block + unsigned m_max_number_of_blocks; //maximum allowed number of blocks + unsigned m_current_position; //first unused element inside the current block +}; + + +template //quickly allocates and deallocates single elements of a given type +class MemoryAllocator +{ +public: + typedef T* pointer; + + MemoryAllocator(unsigned block_size = 1024, + unsigned max_number_of_blocks = 1024) + { + reset(block_size, + max_number_of_blocks); + }; + + ~MemoryAllocator(){}; + + void clear() + { + reset(m_block_size, + m_max_number_of_blocks); + } + + void reset(unsigned block_size, + unsigned max_number_of_blocks) + { + m_block_size = block_size; + m_max_number_of_blocks = max_number_of_blocks; + + assert(m_block_size > 0); + assert(m_max_number_of_blocks > 0); + + m_current_position = 0; + + m_storage.reserve(max_number_of_blocks); + m_storage.resize(1); + m_storage[0].resize(block_size); + + m_deleted.clear(); + m_deleted.reserve(2*block_size); + }; + + pointer allocate() //allocates single unit of memory + { + pointer result; + if(m_deleted.empty()) + { + if(m_current_position + 1 >= m_block_size) + { + m_storage.push_back( std::vector() ); + m_storage.back().resize(m_block_size); + m_current_position = 0; + } + result = & m_storage.back()[m_current_position]; + ++m_current_position; + } + else + { + result = m_deleted.back(); + m_deleted.pop_back(); + } + + return result; + }; + + void deallocate(pointer p) //allocate n units + { + if(m_deleted.size() < m_deleted.capacity()) + { + m_deleted.push_back(p); + } + }; + +private: + std::vector > m_storage; + unsigned m_block_size; //size of a single block + unsigned m_max_number_of_blocks; //maximum allowed number of blocks + unsigned m_current_position; //first unused element inside the current block + + std::vector m_deleted; //pointers to deleted elemets +}; + + +class OutputBuffer +{ +public: + OutputBuffer(): + m_num_bytes(0) + {} + + void clear() + { + m_num_bytes = 0; + m_buffer = std::auto_ptr(); + } + + template + T* allocate(unsigned n) + { + double wanted = n*sizeof(T); + if(wanted > m_num_bytes) + { + unsigned new_size = (unsigned) ceil(wanted / (double)sizeof(double)); + m_buffer = std::auto_ptr(new double[new_size]); + m_num_bytes = new_size*sizeof(double); + } + + return (T*)m_buffer.get(); + } + + template + T* get() + { + return (T*)m_buffer.get(); + } + + template + unsigned capacity() + { + return (unsigned)floor((double)m_num_bytes/(double)sizeof(T)); + }; + +private: + + std::auto_ptr m_buffer; + unsigned m_num_bytes; +}; + + +} //geodesic + +#endif //_GEODESIC_MEMORY_20071231 diff --git a/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_mesh.h b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_mesh.h new file mode 100644 index 0000000..05a9427 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_mesh.h @@ -0,0 +1,530 @@ +//Copyright (C) 2008 Danil Kirsanov, MIT License +#ifndef GEODESIC_MESH_20071231 +#define GEODESIC_MESH_20071231 + +#include +#include +#include +#include +#include +#include + +#include "geodesic_mesh_elements.h" +#include "geodesic_memory.h" +#include "geodesic_constants_and_simple_functions.h" + +namespace geodesic{ + +struct edge_visible_from_source +{ + unsigned source; + edge_pointer edge; +}; + +class Mesh +{ +public: + Mesh() + {}; + + ~Mesh(){}; + + template + void initialize_mesh_data(unsigned num_vertices, + Points& p, + unsigned num_faces, + Faces& tri); //build mesh from regular point-triangle representation + + template + void initialize_mesh_data(Points& p, Faces& tri); //build mesh from regular point-triangle representation + + std::vector& vertices(){return m_vertices;}; + std::vector& edges(){return m_edges;}; + std::vector& faces(){return m_faces;}; + + unsigned closest_vertices(SurfacePoint* p, + std::vector* storage = NULL); //list vertices closest to the point + +private: + + void build_adjacencies(); //build internal structure of the mesh + bool verify(); //verifies connectivity of the mesh and prints some debug info + + typedef void* void_pointer; + void_pointer allocate_pointers(unsigned n) + { + return m_pointer_allocator.allocate(n); + } + + std::vector m_vertices; + std::vector m_edges; + std::vector m_faces; + + SimlpeMemoryAllocator m_pointer_allocator; //fast memory allocating for Face/Vertex/Edge cross-references +}; + +inline unsigned Mesh::closest_vertices(SurfacePoint* p, + std::vector* storage) +{ + assert(p->type() != UNDEFINED_POINT); + + if(p->type() == VERTEX) + { + if(storage) + { + storage->push_back(static_cast(p->base_element())); + } + return 1; + } + else if(p->type() == FACE) + { + if(storage) + { + vertex_pointer* vp= p->base_element()->adjacent_vertices().begin(); + storage->push_back(*vp); + storage->push_back(*(vp+1)); + storage->push_back(*(vp+2)); + } + return 2; + } + else if(p->type() == EDGE) //for edge include all 4 adjacent vertices + { + edge_pointer edge = static_cast(p->base_element()); + + if(storage) + { + storage->push_back(edge->adjacent_vertices()[0]); + storage->push_back(edge->adjacent_vertices()[1]); + + for(unsigned i = 0; i < edge->adjacent_faces().size(); ++i) + { + face_pointer face = edge->adjacent_faces()[i]; + storage->push_back(face->opposite_vertex(edge)); + } + } + return 2 + edge->adjacent_faces().size(); + } + + assert(0); + return 0; +} + +template +void Mesh::initialize_mesh_data(Points& p, Faces& tri) //build mesh from regular point-triangle representation +{ + assert(p.size() % 3 == 0); + unsigned const num_vertices = p.size() / 3; + assert(tri.size() % 3 == 0); + unsigned const num_faces = tri.size() / 3; + + initialize_mesh_data(num_vertices, p, num_faces, tri); +} + +template +void Mesh::initialize_mesh_data(unsigned num_vertices, + Points& p, + unsigned num_faces, + Faces& tri) +{ + unsigned const approximate_number_of_internal_pointers = (num_vertices + num_faces)*4; + unsigned const max_number_of_pointer_blocks = 100; + m_pointer_allocator.reset(approximate_number_of_internal_pointers, + max_number_of_pointer_blocks); + + m_vertices.resize(num_vertices); + for(unsigned i=0; iadjacent Faces + std::vector count(m_vertices.size()); //count adjacent vertices + for(unsigned i=0; iid(); + assert(vertex_id < m_vertices.size()); + count[vertex_id]++; + } + } + + for(unsigned i=0; iadjacent_faces()[count[v->id()]++] = &f; + } + } + + //find all edges + //i.e. find all half-edges, sort and combine them into edges + std::vector half_edges(m_faces.size()*3); + unsigned k = 0; + for(unsigned i=0; iid(); + unsigned vertex_id_2 = f.adjacent_vertices()[(j+1) % 3]->id(); + half_edges[k].vertex_0 = std::min(vertex_id_1, vertex_id_2); + half_edges[k].vertex_1 = std::max(vertex_id_1, vertex_id_2); + + k++; + } + } + std::sort(half_edges.begin(), half_edges.end()); + + unsigned number_of_edges = 1; + for(unsigned i=1; iadjacent Vertices and Faces + m_edges.resize(number_of_edges); + unsigned edge_id = 0; + for(unsigned i=0; idistance(e.adjacent_vertices()[1]); + assert(e.length() > 1e-100); //algorithm works well with non-degenerate meshes only + + if(i != half_edges.size()-1 && half_edges[i] == half_edges[i+1]) //double edge + { + e.adjacent_faces().set_allocation(allocate_pointers(2),2); + e.adjacent_faces()[0] = &m_faces[half_edges[i].face_id]; + e.adjacent_faces()[1] = &m_faces[half_edges[i+1].face_id]; + i += 2; + } + else //single edge + { + e.adjacent_faces().set_allocation(allocate_pointers(1),1); //one adjucent faces + e.adjacent_faces()[0] = &m_faces[half_edges[i].face_id]; + i += 1; + } + } + + // Vertices->adjacent Edges + std::fill(count.begin(), count.end(), 0); + for(unsigned i=0; iid()]++; + count[e.adjacent_vertices()[1]->id()]++; + } + for(unsigned i=0; iadjacent_edges()[count[v->id()]++] = &e; + } + } + + // Faces->adjacent Edges + for(unsigned i=0; iid()]<3); + f->adjacent_edges()[count[f->id()]++] = &e; + } + } + + //compute angles for the faces + for(unsigned i=0; ilength(); + } + + double angle = angle_from_edges(abc[0], abc[1], abc[2]); + assert(angle>1e-5); //algorithm works well with non-degenerate meshes only + + f.corner_angles()[j] = angle; + sum += angle; + } + assert(std::abs(sum - M_PI) < 1e-5); //algorithm works well with non-degenerate meshes only + } + + //define m_turn_around_flag for vertices + std::vector total_vertex_angle(m_vertices.size()); + for(unsigned i=0; iid()] += f.corner_angles()[j]; + } + } + + for(unsigned i=0; i 2.0*M_PI - 1e-5); + } + + for(unsigned i=0; isaddle_or_boundary() = true; + e.adjacent_vertices()[1]->saddle_or_boundary() = true; + } + } + + if (!verify()) + std::cout << "something wrong detected by geodesic::Mesh::verify()" << std::endl; +} + +inline bool Mesh::verify() //verifies connectivity of the mesh and prints some debug info +{ + std::cout << std::endl; + // make sure that all vertices are mentioned at least once. + // though the loose vertex is not a bug, it most likely indicates that something is wrong with the mesh + std::vector map(m_vertices.size(), false); + for(unsigned i=0; iadjacent_vertices()[0]->id()] = true; + map[e->adjacent_vertices()[1]->id()] = true; + } + if(std::find(map.begin(), map.end(), false) == map.end()) + return false; + + //make sure that the mesh is connected trough its edges + //if mesh has more than one connected component, it is most likely a bug + std::vector stack(1,&m_faces[0]); + stack.reserve(m_faces.size()); + + map.resize(m_faces.size()); + std::fill(map.begin(), map.end(), false); + map[0] = true; + + while(!stack.empty()) + { + face_pointer f = stack.back(); + stack.pop_back(); + + for(unsigned i=0; i<3; ++i) + { + edge_pointer e = f->adjacent_edges()[i]; + face_pointer f_adjacent = e->opposite_face(f); + if(f_adjacent && !map[f_adjacent->id()]) + { + map[f_adjacent->id()] = true; + stack.push_back(f_adjacent); + } + } + } + if (std::find(map.begin(), map.end(), false) == map.end()) + return false; + + //print some mesh statistics that can be useful in debugging + std::cout << "mesh has " << m_vertices.size() + << " vertices, " << m_faces.size() + << " faces, " << m_edges.size() + << " edges\n"; + + unsigned total_boundary_edges = 0; + double longest_edge = 0; + double shortest_edge = 1e100; + for(unsigned i=0; iset(data); + unsigned type = (unsigned) data[3]; + unsigned id = (unsigned) data[4]; + + + if(type == 0) //vertex + { + point->base_element() = &mesh->vertices()[id]; + } + else if(type == 1) //edge + { + point->base_element() = &mesh->edges()[id]; + } + else //face + { + point->base_element() = &mesh->faces()[id]; + } +} + +inline void fill_surface_point_double(geodesic::SurfacePoint* point, + double* data, + long mesh_id) +{ + data[0] = point->x(); + data[1] = point->y(); + data[2] = point->z(); + data[4] = point->base_element()->id(); + + if(point->type() == VERTEX) //vertex + { + data[3] = 0; + } + else if(point->type() == EDGE) //edge + { + data[3] = 1; + } + else //face + { + data[3] = 2; + } +} + +} //geodesic + +#endif diff --git a/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_mesh_elements.h b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_mesh_elements.h new file mode 100644 index 0000000..c60a9ed --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/src/geodesic_mesh_elements.h @@ -0,0 +1,427 @@ +//Copyright (C) 2008 Danil Kirsanov, MIT License +#ifndef GEODESIC_MESH_ELEMENTS_20071231 +#define GEODESIC_MESH_ELEMENTS_20071231 + +// here we define the building elements of the mesh: +// 3D-points, vertices, edges, faces, and surface points + +#include +#include + +namespace geodesic{ + +class Vertex; +class Edge; +class Face; +class Mesh; +class MeshElementBase; + +typedef Vertex* vertex_pointer; +typedef Edge* edge_pointer; +typedef Face* face_pointer; +typedef Mesh* mesh_pointer; +typedef MeshElementBase* base_pointer; + +template //simple vector that stores info about mesh references +class SimpleVector //for efficiency, it uses an outside memory allocator +{ +public: + SimpleVector(): + m_size(0), + m_begin(NULL) + {}; + + typedef Data* iterator; + + unsigned size(){return m_size;}; + iterator begin(){return m_begin;}; + iterator end(){return m_begin + m_size;}; + + template + void set_allocation(DataPointer begin, unsigned size) + { + assert(begin != NULL || size == 0); + m_size = size; + m_begin = (iterator)begin; + } + + Data& operator[](unsigned i) + { + assert(i < m_size); + return *(m_begin + i); + } + + void clear() + { + m_size = 0; + m_begin = NULL; + } + +private: + unsigned m_size; + Data* m_begin; +}; + +enum PointType +{ + VERTEX, + EDGE, + FACE, + UNDEFINED_POINT +}; + +class MeshElementBase //prototype of vertices, edges and faces +{ +public: + typedef SimpleVector vertex_pointer_vector; + typedef SimpleVector edge_pointer_vector; + typedef SimpleVector face_pointer_vector; + + MeshElementBase(): + m_id(0), + m_type(UNDEFINED_POINT) + {}; + + vertex_pointer_vector& adjacent_vertices(){return m_adjacent_vertices;}; + edge_pointer_vector& adjacent_edges(){return m_adjacent_edges;}; + face_pointer_vector& adjacent_faces(){return m_adjacent_faces;}; + + unsigned& id(){return m_id;}; + PointType type(){return m_type;}; + +protected: + vertex_pointer_vector m_adjacent_vertices; //list of the adjacent vertices + edge_pointer_vector m_adjacent_edges; //list of the adjacent edges + face_pointer_vector m_adjacent_faces; //list of the adjacent faces + + unsigned m_id; //unique id + PointType m_type; //vertex, edge or face +}; + +class Point3D //point in 3D and corresponding operations +{ +public: + Point3D(){}; + Point3D(Point3D* p) + { + x() = p->x(); + y() = p->y(); + z() = p->z(); + }; + + double* xyz(){return m_coordinates;}; + double& x(){return *m_coordinates;}; + double& y(){return *(m_coordinates+1);}; + double& z(){return *(m_coordinates+2);}; + + void set(double new_x, double new_y, double new_z) + { + x() = new_x; + y() = new_y; + z() = new_z; + } + + void set(double* data) + { + x() = *data; + y() = *(data+1); + z() = *(data+2); + } + + double distance(double* v) + { + double dx = m_coordinates[0] - v[0]; + double dy = m_coordinates[1] - v[1]; + double dz = m_coordinates[2] - v[2]; + + return sqrt(dx*dx + dy*dy + dz*dz); + }; + + double distance(Point3D* v) + { + return distance(v->xyz()); + }; + + void add(Point3D* v) + { + x() += v->x(); + y() += v->y(); + z() += v->z(); + }; + + void multiply(double v) + { + x() *= v; + y() *= v; + z() *= v; + }; + +private: + double m_coordinates[3]; //xyz +}; + +class Vertex: public MeshElementBase, public Point3D +{ +public: + Vertex() + { + m_type = VERTEX; + }; + + ~Vertex(){}; + + bool& saddle_or_boundary(){return m_saddle_or_boundary;}; +private: + //this flag speeds up exact geodesic algorithm + bool m_saddle_or_boundary; //it is true if total adjacent angle is larger than 2*PI or this vertex belongs to the mesh boundary +}; + + +class Face: public MeshElementBase +{ +public: + Face() + { + m_type = FACE; + }; + + ~Face(){}; + + edge_pointer opposite_edge(vertex_pointer v); + vertex_pointer opposite_vertex(edge_pointer e); + edge_pointer next_edge(edge_pointer e, vertex_pointer v); + + double vertex_angle(vertex_pointer v) + { + for(unsigned i=0; i<3; ++i) + { + if(adjacent_vertices()[i]->id() == v->id()) + { + return m_corner_angles[i]; + } + } + assert(0); + return 0; + } + + double* corner_angles(){return m_corner_angles;}; + +private: + double m_corner_angles[3]; //triangle angles in radians; angles correspond to vertices in m_adjacent_vertices +}; + +class Edge: public MeshElementBase +{ +public: + Edge() + { + m_type = EDGE; + }; + + ~Edge(){}; + + double& length(){return m_length;}; + + face_pointer opposite_face(face_pointer f) + { + if(adjacent_faces().size() == 1) + { + assert(adjacent_faces()[0]->id() == f->id()); + return NULL; + } + + assert(adjacent_faces()[0]->id() == f->id() || + adjacent_faces()[1]->id() == f->id()); + + return adjacent_faces()[0]->id() == f->id() ? + adjacent_faces()[1] : adjacent_faces()[0]; + }; + + vertex_pointer opposite_vertex(vertex_pointer v) + { + assert(belongs(v)); + + return adjacent_vertices()[0]->id() == v->id() ? + adjacent_vertices()[1] : adjacent_vertices()[0]; + }; + + bool belongs(vertex_pointer v) + { + return adjacent_vertices()[0]->id() == v->id() || + adjacent_vertices()[1]->id() == v->id(); + } + + bool is_boundary(){return adjacent_faces().size() == 1;}; + + vertex_pointer v0(){return adjacent_vertices()[0];}; + vertex_pointer v1(){return adjacent_vertices()[1];}; + + void local_coordinates(Point3D* point, + double& x, + double& y) + { + double d0 = point->distance(v0()); + if(d0 < 1e-50) + { + x = 0.0; + y = 0.0; + return; + } + + double d1 = point->distance(v1()); + if(d1 < 1e-50) + { + x = m_length; + y = 0.0; + return; + } + + x = m_length/2.0 + (d0*d0 - d1*d1)/(2.0*m_length); + y = sqrt(std::max(0.0, d0*d0 - x*x)); + return; + } + +private: + double m_length; //length of the edge +}; + +class SurfacePoint:public Point3D //point on the surface of the mesh +{ +public: + SurfacePoint(): + m_p(NULL) + {}; + + SurfacePoint(vertex_pointer v): //set the surface point in the vertex + SurfacePoint::Point3D(v), + m_p(v) + {}; + + SurfacePoint(face_pointer f, double w0 = 1./3., double w1 = 1./3., double w2 = 1./3.): //set the surface point on the face with specified barycentric coordinates + m_p(f) + { + Point3D v0 = f->adjacent_vertices()[0]; + Point3D v1 = f->adjacent_vertices()[1]; + Point3D v2 = f->adjacent_vertices()[2]; + v0.multiply(w0); + v1.multiply(w1); + v2.multiply(w2); + set(0, 0, 0); + add(&v0); + add(&v1); + add(&v2); + }; + + SurfacePoint(edge_pointer e, //set the surface point in the middle of the edge + double a = 0.5): + m_p(e) + { + double b = 1 - a; + + vertex_pointer v0 = e->adjacent_vertices()[0]; + vertex_pointer v1 = e->adjacent_vertices()[1]; + + x() = b*v0->x() + a*v1->x(); + y() = b*v0->y() + a*v1->y(); + z() = b*v0->z() + a*v1->z(); + }; + + SurfacePoint(base_pointer g, + double x, + double y, + double z, + PointType t = UNDEFINED_POINT): + m_p(g) + { + set(x,y,z); + }; + + void initialize(SurfacePoint const& p) + { + *this = p; + } + + ~SurfacePoint(){}; + + PointType type(){return m_p ? m_p->type() : UNDEFINED_POINT;}; + base_pointer& base_element(){return m_p;}; +protected: + base_pointer m_p; //could be face, vertex or edge pointer +}; + +inline edge_pointer Face::opposite_edge(vertex_pointer v) +{ + for(unsigned i=0; i<3; ++i) + { + edge_pointer e = adjacent_edges()[i]; + if(!e->belongs(v)) + { + return e; + } + } + assert(0); + return NULL; +} + +inline vertex_pointer Face::opposite_vertex(edge_pointer e) +{ + for(unsigned i=0; i<3; ++i) + { + vertex_pointer v = adjacent_vertices()[i]; + if(!e->belongs(v)) + { + return v; + } + } + assert(0); + return NULL; +} + +inline edge_pointer Face::next_edge(edge_pointer e, vertex_pointer v) +{ + assert(e->belongs(v)); + + for(unsigned i=0; i<3; ++i) + { + edge_pointer next = adjacent_edges()[i]; + if(e->id() != next->id() && next->belongs(v)) + { + return next; + } + } + assert(0); + return NULL; +} + +struct HalfEdge //prototype of the edge; used for mesh construction +{ + unsigned face_id; + unsigned vertex_0; //adjacent vertices sorted by id value + unsigned vertex_1; //they are sorted, vertex_0 < vertex_1 +}; + +inline bool operator < (const HalfEdge &x, const HalfEdge &y) +{ + if(x.vertex_0 == y.vertex_0) + { + return x.vertex_1 < y.vertex_1; + } + else + { + return x.vertex_0 < y.vertex_0; + } +} + +inline bool operator != (const HalfEdge &x, const HalfEdge &y) +{ + return x.vertex_0 != y.vertex_0 || x.vertex_1 != y.vertex_1; +} + +inline bool operator == (const HalfEdge &x, const HalfEdge &y) +{ + return x.vertex_0 == y.vertex_0 && x.vertex_1 == y.vertex_1; +} + +} //geodesic + +#endif diff --git a/matlab/external/gptoolbox/external/exactgeodesic/src/hedgehog_mesh.txt b/matlab/external/gptoolbox/external/exactgeodesic/src/hedgehog_mesh.txt new file mode 100644 index 0000000..c2945c4 --- /dev/null +++ b/matlab/external/gptoolbox/external/exactgeodesic/src/hedgehog_mesh.txt @@ -0,0 +1,897 @@ +300 596 +0.766433 -0.237848 0.672908 +-0.501907 0.090563 0.825843 +0.328704 -0.732922 -0.507370 +-0.124904 0.867393 -0.558121 +0.646782 -0.745003 -0.047677 +0.612633 0.166092 -0.819713 +-0.106090 0.489495 -0.887409 +-0.746809 0.717016 0.050405 +0.708982 0.552611 0.498062 +-0.209796 0.910538 -0.384322 +0.613670 -0.362180 -0.752686 +0.774953 0.356412 -0.569980 +0.633976 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by Mitchell, Mount and Papadimitriou in 1987[1] with some minor improvements, extensions and simplifications. The algorithm has O(n^2 log n) worst-case time complexity, but in practice can work with million-node meshes in reasonable time. For the quick overview, see [2]. + +The basic idea of the algorithm is very similar to Dijkstra's algorithm for finding shortest path on a weighted graph. It has two steps: +- propagation of the distance field from sources over the surface of the mesh (slow) +- tracing back the shortest path from target point to the closest source (fast) + +For debugging and comparison purposes I also implemented two approximate algorithms +- Dijkstra shortest path on the graph created by the vertices and edges of the mesh +- Subdivision (put N additional vertices on every edge of the mesh, directly connect all vertices belonging to the same face, run Dijkstra on the resulting graph) +The nice property of the subdivision algorithm is that it becomes Dijkstra when N=0 and computes exact distances when N->infinity. + +The input mesh is represented as two arrays: vertices (each vertex has tree coordinates) and faces (each face is represented as indices of its vertices). Most of the communication with the algorithms is done through SurfacePoints (points on the surface of the mesh; they have three coordinates and a pointer to a mesh element they belong). + +The algorithms are available as C++ code (downloadable at http://code.google.com/p/geodesic/) and Matlab toolbox (downloadable at MathWorks File Exchange). + +C++ NOTES +The base class of for all algorithms is GeodesicAlgorithmBase (defined in geodesic_algorithm_base.h). The most important functions defined in this class are +- propagate(...). It is possible to stop propagation after it reaches certain distance or covers certain points on the surface of the mesh; O(n^2 log n). +- trace_back(…). It traces the shortest path from target to the nearest source; O(n) . +- best_source(…). For a given point on the surface of the mesh, this function reports the closest source and the distance to this source; O(1). +Read example0.cpp and example1.cpp – they are self-explanatory. + +MATLAB NOTES +- you do not have to compile anything; the algorithm is already available as C library (it has _debug and _release versions) +- just in case, the header of the library is geodesic_matlab_api.h; all the functions are instantiated in geodesic_matlab_api.c (this is the only file you have to compile for the library). +- only Windows version of the library is provided. If you need them on other operating systems, you are on your own – download C++ code and compile geodesic_matlab_api.c into a library +Play with example1.m – example5.m; they are self-explanatory. + +Limitations and known issues. + +The mesh should be edge-connected. I.e. for every two faces of the mesh there should exist a connecting path on the surface of the mesh that does not go through any vertex. This property implies the simple connectivity of the mesh. In particular, there should be no vertices that are not used by any of the triangles. + +There is a list of possible features and improvements that could be done to the algorithm. +- Memory is currently a bottleneck for large meshes. In theory, it is possible to overcome it if all destinations are known BEFORE the propagation step. +- For large flat parts of the mesh (vertices whose total adjacent angles sum up to exactly 2*pi) the current version of the algorithm uses more time and memory than necessary. + +ACKNOWLEDGEMENTS +I am very grateful to Steven Gortler without whom this project would never exist. Hugues Hoppe helped to develop the early version of the algorithm by providing his mesh processing code as well as many helpful advices. Tatiana and Vitaly Surazhsky did a great job analyzing the complexity of the algorithm for the “regular” meshes. + +REPORTING BUGS AND SENDING LOVE/HATE MAIL +If you have a bug, first check your mesh and run the algorithm in debug mode. Most likely, the mesh is numbered incorrectly or disconnected or of somehow degenerate. +Usually, I am not very good communicating with people, but you can try reaching me at exact.geodesic@gmail.com + +Best, +Danil Kirsanov, 01/2008 + +[1] J.S.B. Mitchell, D.~M. Mount, and C.~H. Papadimitriou. SIAM J. Comput., 16:647--668, 1987. +[2] J. O'Rourke, Computational Geometry Column 35, SIGACT News, 30(2) Issue #111 (1999) 31-32, 1993 (could be found at citeseer.ist.psu.edu) + +CHANGE ON 03/02/08 +- resolved a name conflict with some versions of gcc diff --git a/matlab/external/gptoolbox/external/lineSegmentIntersect.m b/matlab/external/gptoolbox/external/lineSegmentIntersect.m new file mode 100644 index 0000000..2084e1d --- /dev/null +++ b/matlab/external/gptoolbox/external/lineSegmentIntersect.m @@ -0,0 +1,127 @@ +function out = lineSegmentIntersect(XY1,XY2) +%LINESEGMENTINTERSECT Intersections of line segments. +% OUT = LINESEGMENTINTERSECT(XY1,XY2) finds the 2D Cartesian Coordinates of +% intersection points between the set of line segments given in XY1 and XY2. +% +% XY1 and XY2 are N1x4 and N2x4 matrices. Rows correspond to line segments. +% Each row is of the form [x1 y1 x2 y2] where (x1,y1) is the start point and +% (x2,y2) is the end point of a line segment: +% +% Line Segment +% o--------------------------------o +% ^ ^ +% (x1,y1) (x2,y2) +% +% OUT is a structure with fields: +% +% 'intAdjacencyMatrix' : N1xN2 indicator matrix where the entry (i,j) is 1 if +% line segments XY1(i,:) and XY2(j,:) intersect. +% +% 'intMatrixX' : N1xN2 matrix where the entry (i,j) is the X coordinate of the +% intersection point between line segments XY1(i,:) and XY2(j,:). +% +% 'intMatrixY' : N1xN2 matrix where the entry (i,j) is the Y coordinate of the +% intersection point between line segments XY1(i,:) and XY2(j,:). +% +% 'intNormalizedDistance1To2' : N1xN2 matrix where the (i,j) entry is the +% normalized distance from the start point of line segment XY1(i,:) to the +% intersection point with XY2(j,:). +% +% 'intNormalizedDistance2To1' : N1xN2 matrix where the (i,j) entry is the +% normalized distance from the start point of line segment XY1(j,:) to the +% intersection point with XY2(i,:). +% +% 'parAdjacencyMatrix' : N1xN2 indicator matrix where the (i,j) entry is 1 if +% line segments XY1(i,:) and XY2(j,:) are parallel. +% +% 'coincAdjacencyMatrix' : N1xN2 indicator matrix where the (i,j) entry is 1 +% if line segments XY1(i,:) and XY2(j,:) are coincident. + +% Version: 1.00, April 03, 2010 +% Version: 1.10, April 10, 2010 +% Author: U. Murat Erdem + +% CHANGELOG: +% +% Ver. 1.00: +% -Initial release. +% +% Ver. 1.10: +% - Changed the input parameters. Now the function accepts two sets of line +% segments. The intersection analysis is done between these sets and not in +% the same set. +% - Changed and added fields of the output. Now the analysis provides more +% information about the intersections and line segments. +% - Performance tweaks. + +% I opted not to call this 'curve intersect' because it would be misleading +% unless you accept that curves are pairwise linear constructs. +% I tried to put emphasis on speed by vectorizing the code as much as possible. +% There should still be enough room to optimize the code but I left those out +% for the sake of clarity. +% The math behind is given in: +% http://local.wasp.uwa.edu.au/~pbourke/geometry/lineline2d/ +% If you really are interested in squeezing as much horse power as possible out +% of this code I would advise to remove the argument checks and tweak the +% creation of the OUT a little bit. + +%%% Argument check. +%------------------------------------------------------------------------------- + +validateattributes(XY1,{'numeric'},{'2d','finite'}); +validateattributes(XY2,{'numeric'},{'2d','finite'}); + +[n_rows_1,n_cols_1] = size(XY1); +[n_rows_2,n_cols_2] = size(XY2); + +if n_cols_1 ~= 4 || n_cols_2 ~= 4 + error('Arguments must be a Nx4 matrices.'); +end + +%%% Prepare matrices for vectorized computation of line intersection points. +%------------------------------------------------------------------------------- +X1 = repmat(XY1(:,1),1,n_rows_2); +X2 = repmat(XY1(:,3),1,n_rows_2); +Y1 = repmat(XY1(:,2),1,n_rows_2); +Y2 = repmat(XY1(:,4),1,n_rows_2); + +XY2 = XY2'; + +X3 = repmat(XY2(1,:),n_rows_1,1); +X4 = repmat(XY2(3,:),n_rows_1,1); +Y3 = repmat(XY2(2,:),n_rows_1,1); +Y4 = repmat(XY2(4,:),n_rows_1,1); + +X4_X3 = (X4-X3); +Y1_Y3 = (Y1-Y3); +Y4_Y3 = (Y4-Y3); +X1_X3 = (X1-X3); +X2_X1 = (X2-X1); +Y2_Y1 = (Y2-Y1); + +numerator_a = X4_X3 .* Y1_Y3 - Y4_Y3 .* X1_X3; +numerator_b = X2_X1 .* Y1_Y3 - Y2_Y1 .* X1_X3; +denominator = Y4_Y3 .* X2_X1 - X4_X3 .* Y2_Y1; + +u_a = numerator_a ./ denominator; +u_b = numerator_b ./ denominator; + +% Find the adjacency matrix A of intersecting lines. +INT_X = X1+X2_X1.*u_a; +INT_Y = Y1+Y2_Y1.*u_a; +INT_B = (u_a >= 0) & (u_a <= 1) & (u_b >= 0) & (u_b <= 1); +PAR_B = denominator == 0; +COINC_B = (numerator_a == 0 & numerator_b == 0 & PAR_B); + + +% Arrange output. +out.intAdjacencyMatrix = INT_B; +out.intMatrixX = INT_X .* INT_B; +out.intMatrixY = INT_Y .* INT_B; +out.intNormalizedDistance1To2 = u_a; +out.intNormalizedDistance2To1 = u_b; +out.parAdjacencyMatrix = PAR_B; +out.coincAdjacencyMatrix= COINC_B; + +end + diff --git a/matlab/external/gptoolbox/external/luq.m b/matlab/external/gptoolbox/external/luq.m new file mode 100644 index 0000000..e62d068 --- /dev/null +++ b/matlab/external/gptoolbox/external/luq.m @@ -0,0 +1,137 @@ +function [L,U,Q] = luq(A,do_pivot,tol) +% PURPOSE: calculates the following decomposition +% +% A = L |Ubar 0 | Q +% |0 0 | +% +% where Ubar is a square invertible matrix +% and matrices L, Q are invertible. +% +% --------------------------------------------------- +% USAGE: [L,U,Q] = luq(A,do_pivot,tol) +% INPUT: +% A a sparse matrix +% do_pivot = 1 with column pivoting +% = 0 without column pivoting +% tol uses the tolerance tol in separating zero and +% nonzero values +% +% OUTPUT: +% L,U,Q matrices +% +% COMMENTS: +% based on lu decomposition +% +% Copyright (c) Pawel Kowal (2006) +% All rights reserved +% LREM_SOLVE toolbox is available free for noncommercial academic use only. +% pkowal3@sgh.waw.pl + +[n,m] = size(A); + +if ~issparse(A) + A = sparse(A); +end + +%-------------------------------------------------------------------------- +% SPECIAL CASES +%-------------------------------------------------------------------------- +if size(A,1)==0 + L = speye(n); + U = A; + Q = speye(m); + return; +end +if size(A,2)==0 + L = speye(n); + U = A; + Q = speye(m); + return; +end + +%-------------------------------------------------------------------------- +% LU DECOMPOSITION +%-------------------------------------------------------------------------- +if do_pivot + [L,U,P,Q] = lu(A); + Q = Q'; +else + [L,U,P] = lu(A); + Q = speye(m); +end +p = size(A,1)-size(L,2); +LL = [sparse(n-p,p);speye(p)]; +L = [P'*L P(n-p+1:n,:)']; +U = [U;sparse(p,m)]; + +%-------------------------------------------------------------------------- +% FINDS ROWS WITH ZERO AND NONZERO ELEMENTS ON THE DIAGONAL +%-------------------------------------------------------------------------- +if size(U,1)==1 || size(U,2)==1 + S = U(1,1); +else + S = diag(U); +end +I = find(abs(S)>tol); +Jl = (1:n)'; +Jl(I) = []; +Jq = (1:m)'; +Jq(I) = []; + +Ubar1 = U(I,I); +Ubar2 = U(Jl,Jq); +Qbar1 = Q(I,:); +Lbar1 = L(:,I); + +%-------------------------------------------------------------------------- +% ELININATES NONZEZO ELEMENTS BELOW AND ON THE RIGHT OF THE +% INVERTIBLE BLOCK OF THE MATRIX U +% +% UPDATES MATRICES L, Q +%-------------------------------------------------------------------------- +if ~isempty(I) + Utmp = U(I,Jq); + X = Ubar1'\U(Jl,I)'; + Ubar2 = Ubar2-X'*Utmp; + Lbar1 = Lbar1+L(:,Jl)*X'; + + X = Ubar1\Utmp; + Qbar1 = Qbar1+X*Q(Jq,:); + Utmp = []; + X = []; +end + +%-------------------------------------------------------------------------- +% FINDS ROWS AND COLUMNS WITH ONLY ZERO ELEMENTS +%-------------------------------------------------------------------------- +I2 = find(max(abs(Ubar2),[],2)>tol); +I5 = find(max(abs(Ubar2),[],1)>tol); + +I3 = Jl(I2); +I4 = Jq(I5); +Jq(I5) = []; +Jl(I2) = []; +U = []; + +%-------------------------------------------------------------------------- +% FINDS A PART OF THE MATRIX U WHICH IS NOT IN THE REQIRED FORM +%-------------------------------------------------------------------------- +A = Ubar2(I2,I5); + +%-------------------------------------------------------------------------- +% PERFORMS LUQ DECOMPOSITION OF THE MATRIX A +%-------------------------------------------------------------------------- +[L1,U1,Q1] = luq(A,do_pivot,tol); + +%-------------------------------------------------------------------------- +% UPDATES MATRICES L, U, Q +%-------------------------------------------------------------------------- +Lbar2 = L(:,I3)*L1; +Qbar2 = Q1*Q(I4,:); +L = [Lbar1 Lbar2 L(:,Jl)]; +Q = [Qbar1; Qbar2; Q(Jq,:)]; + +n1 = length(I); +n2 = length(I3); +m2 = length(I4); +U = [Ubar1 sparse(n1,m-n1);sparse(n2,n1) U1 sparse(n2,m-n1-m2);sparse(n-n1-n2,m)]; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/mask2poly.m b/matlab/external/gptoolbox/external/mask2poly.m new file mode 100644 index 0000000..5f85ed3 --- /dev/null +++ b/matlab/external/gptoolbox/external/mask2poly.m @@ -0,0 +1,151 @@ +%http://ltfat.sourceforge.net/ + + function [poly] = mask2poly(mask, indTime, indFreq) + % Convert region mask to region of interest (ROI) polygon + % !!! I'm not shure that this algorithm works in every case + + assert(~isempty(mask)) + maskRef = mask; + + mask = zeros(size(mask, 1)+2, size(mask, 2)+2); + mask(2:end-1,2:end-1) = maskRef; + + [ind1, ind2] = find(mask); + + % position of segments on the edge for first dimension + seg1 = sparse(size(mask,1)+1, size(mask,2)); + % position of segments on the edge for second dimension + seg2 = sparse(size(mask,1), size(mask,2)+1) ; + + for n = 1:length(ind1) + if ~mask(ind1(n)-1, ind2(n)) + seg1(ind1(n), ind2(n)) = 1; + end + if ~mask(ind1(n)+1, ind2(n)) + seg1(ind1(n)+1, ind2(n)) = 1; + end + if ~mask(ind1(n), ind2(n)-1) + seg2(ind1(n), ind2(n)) = 1; + end + if ~mask(ind1(n), ind2(n)+1) + seg2(ind1(n), ind2(n)+1) = 1; + end + end + + ind = 0; + + while nnz(seg1)>1 + curve = chainSeg; + if ~isempty(curve) + ind = ind+1; + poly(ind).x = curve(:,2); + poly(ind).y = curve(:,1); + poly(ind).hole = true; + end + end + + poly(1).hole = false; + + function curve = chainSeg() + % chaining of segments + + % choose one start segment + [ind1, ind2] = find(seg1); + ind1 = ind1(1); + ind2 = ind2(1); + curve = [ind1, ind2; ind1, ind2+1]; + + seg1(ind1, ind2) = 0; + + % pos is a variable to remember in which direction we are + % progressing + % [1 1] if we're going in a growing index number + % [-1 0] otherwise + pos = [1, 1]; + + % precise if the last added segment comes from seg1 or seg2 + last1 = true; + + while true + if last1 + % the last segment was from dimension 1 + if seg1(ind1, ind2+pos(1)) + ind2 = ind2+pos(1); + seg1(ind1, ind2) = 0; + curve = [curve; ind1, ind2+pos(2)]; + elseif seg2(ind1-1, ind2+pos(2)) + ind1 = ind1-1; + ind2 = ind2+pos(2); + pos = [-1, 0]; + seg2(ind1, ind2) = 0; + curve = [curve; ind1, ind2]; + last1 = false; + elseif seg2(ind1, ind2+pos(2)) + ind2 = ind2+pos(2); + pos = [1, 1]; + seg2(ind1, ind2) = 0; + curve = [curve; ind1+1, ind2]; + last1 = false; + else + break; + end + else + % the last segment was from dimension 2 + if seg2(ind1+pos(1), ind2) + ind1 = ind1+pos(1); + seg2(ind1, ind2) = 0; + curve = [curve; ind1+pos(2), ind2]; + elseif seg1(ind1+pos(2), ind2-1) + ind1 = ind1+pos(2); + ind2 = ind2-1; + pos = [-1, 0]; + seg1(ind1, ind2) = 0; + curve = [curve; ind1, ind2]; + last1 = true; + elseif seg1(ind1+pos(2), ind2) + ind1 = ind1+pos(2); + pos = [1, 1]; + seg1(ind1, ind2) = 0; + curve = [curve; ind1, ind2+1]; + last1 = true; + else + break; + end + end + end + + curve = curve-1.5; + + if size(curve, 1)==2 + % the first segment couldn't be linked to some other segment, + % there is no polygon + curve = []; + end + + end + + end +% Copyright (c) 2011, Nikolay S. +% All rights reserved. +% +% Redistribution and use in source and binary forms, with or without +% modification, are permitted provided that the following conditions are +% met: +% +% * Redistributions of source code must retain the above copyright +% notice, this list of conditions and the following disclaimer. +% * Redistributions in binary form must reproduce the above copyright +% notice, this list of conditions and the following disclaimer in +% the documentation and/or other materials provided with the distribution +% +% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +% AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +% IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +% ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE +% LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +% CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +% SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +% INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +% CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +% ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +% POSSIBILITY OF SUCH DAMAGE. diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/ChangeLog b/matlab/external/gptoolbox/external/matlabPyrTools/ChangeLog new file mode 100644 index 0000000..04bf1f4 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/ChangeLog @@ -0,0 +1,478 @@ + Log of changes made to matlabPyrTools code + (important changes marked with **) +----------------------------------------------------------------------- +2009-12-17 Eero Simoncelli + + * Made new tarfile (version 1.4) + + * imStats.m: Now also prints the skew. + +2009-12-17 Rob Young + + * Fixed compilePyrTools.m error messages by making individual + const mxArray arg variables. + +2009-12-17 Rob Young + + * Added compilePyrTools.m to the MEX directory, which takes care + of compiling all C files for the current platform. + +2009-12-17 Rob Young + + * Incorporated HTML versions of tutorials + +2005-07-01 Eero Simoncelli + + * Discovered that innerProd.c is now significantly slower than + just executing M'*M in matlab, due to speedups in recent versions + of matlab! So eliminated the MEX file, and the warning in + innerProd.m. Left innerProd.m behind for backward compatibility. + + +2005-05-04 Eero Simoncelli + + * Fixed blur.m to handle arbitrary size images + +2005-01-03 Eero Simoncelli + + * MEX/Makefile-linux: Added innerProd to Make files + +2004-11-28 Eero Simoncelli + + * blur.m (res): added missing arguments in call to upBlur. + +2004-10-27 Eero Simoncelli + + * mkGaussian.m: MEAN arg can now be 1D. + +2004-10-14 Eero Simoncelli + + * Made new tarfile (version 1.3) + + * Incorporated complex-valued steerable pyramid code (buildSCFpyr, + buildSCFpyrLevs,reconSCFpyr) written by Javier Portilla in 9/97, + and used in our work on texture representation/synthesis + (Portilla&Simoncelli, Int'l Journal of Computer Vision, + 40(1):49-71, Dec 2000). + + * Incorporated imGradient.m from personal code. + + * reagan.pgm out. feynam.pgm in + +2004-03-20 Eero Simoncelli + + * blur.m added (just calls blurDn and then upBlur). + +2003-08-06 Eero Simoncelli + + * blurDn.m (filt): Forced correct scaling of filters in 1D + +2003-05-28 Eero Simoncelli + + * incorporated setPyrBand.m from local code + +2002-10-01 Eero Simoncelli + + * incorporated clip.m from local code + +2002-09-18 Eero Simoncelli + + * pointOp.m: Added the new 'extrap' option for matlab's interp1 to + make this m-file version more compatible with the mex version. + +Wed Aug 28 2002 Eero Simoncelli + + * var2.m: now returns zero (instead of error) for matrix of size 1. + * function VECTORIZE renamed to VECTIFY, since it was colliding + with a function introduced in standard matlab. + +Dec 27 2001 Eero Simoncelli + + * Modified calls to upConv in reconSpyr.m and reconSpyrLevs.m so + that the returned result is bound. Previously, had relied on the + MEX version of upConv to destructively modify the result array, + users had been getting errors because they were using the m-file + version of upConv. + +Wed Sep 19 2001 Eero Simoncelli + + * buildSFpyrLevs/reconSFpyrLevs: replace use of "i" with sqrt(-1), to + avoid problems if user rebinds it! + +Wed Mar 28 10:22:01 2001 Eero Simoncelli + + * Moved innerProd.m and all associated MEX files from the + matlabLocal source tree into matlabPyrTools. + * Added innerProd to Contents.m + * Updated/clarified WARNINGS in all *.m files that have MEX versions. + +Tue Mar 27 11:21:53 2001 Eero Simoncelli + + * Incorporated Windows MEX files (*.dll) into MEX subdirectory. + Windows users should either copy these into the main directory, + or put the MEX subdirectory in their matlab path. + +Fri Mar 23 14:46:16 2001 Eero Simoncelli + + * buildSFpyrLevs.m, reconSFpyrLevs.m: shift the raised-cosine + lookup table (Xrcos) instead of incrementing the log-radial image + (log_rad). THis is more efficient... + +Fri Oct 1 19:37:03 1999 Eero Simoncelli + + * upConv.m: Did not return correct size result when STOP argument + was passed. Thanks to hertzman@mrl.nyu.edu for pointing this out. + +Fri Sep 17 15:53:26 1999 Eero Simoncelli + + * buildSFpyrLevs.m: Changed lutsize to 1024, giving a slight + increase in accuracy. + +Thu Feb 25 18:10:38 1999 Eero Simoncelli + + * histo1.m: Modified histo.m to be more compatible (but still not + exactly the same) as the MEX file version. + +Fri Jun 12 21:15:39 1998 Eero Simoncelli + + * TUTORIALS pyramids.m upgraded. + +Tue Feb 17 13:22:28 1998 Eero Simoncelli + + * showIm.m: Dims are now printed followed by the zoom factor. + +Mon Oct 13 14:49:51 1997 Eero Simoncelli + + * mkSquare.m: Modified to do raised-cosine soft threshold + transitions. + +Tue Oct 7 10:13:51 1997 Eero Simoncelli + + * upConv.m: Argument order was wrong (this function is not used + anyway, unless you don't compile the MEX code). - Thanks to + farid@psyche.mit.edu for pointing this out. + +Thu Sep 25 16:09:49 1997 Eero Simoncelli + + * MEX/wrap.c: Changed #include to , as + suggested by David Brainard. * Incorporated Mac-compiled mex + files, courtesy of David Brainard. + +Sat Sep 6 16:10:25 1997 Eero Simoncelli + + * MEX/convolve.h: abstracted out type of images with typedef image_type. + Added ansi declarations. + +Fri Aug 29 13:49:16 1997 Eero Simoncelli + + ** showIm.m: Modified to behave better under resizing (and printing): + resets axis units to "normalized". + +Thu Aug 28 22:56:52 1997 Eero Simoncelli + + ** MEX/edges.c: reflect1, reflect2, repeat, extend upgraded to work + properly for non-symmetric filters. reflect2 and extend were also + broken for upConv. Added qreflect2 to handle even-length QMF's + which broke under the reflect2 modification. + * Added example code to TUTORIALS/matlabPyrTools to illustrate the + boundary-handling behavior... + +Thu Aug 21 13:34:17 1997 Eero Simoncelli + + * var2, skew2, kurt2: modified to return complex values for complex images. + * imStats.m: now gives an error for complex args. + +Thu Aug 14 15:24:29 1997 Eero Simoncelli + + * Modified shift.m: negated the meaning of the offset parameter, + such that RES=shift(MTX,OFFSET) means RES(POS)=MTX(POS-OFFSET) + (this is more intuitive). + +Thu Jul 10 17:06:52 1997 Eero Simoncelli + + * Modified MEX/Makefile-* to be consistent with matlab5: + - call mex instead of cmex + - use -V4 flag (creating matlab v4 compatible binaries) + + * showIm.m (xlbl_offset): Modified to use "points" units, so that + printed images look correct. Still slightly busted for arbitrary figure + window sizes and for printing. + + * Modified upConv.c: does not return ANYTHING if you pass a result + argument (this had been causing occasional problems with matlab's + memory manager). + +Mon Jun 30 12:09:30 1997 Eero Simoncelli + + * reconSFpyr.m (res): now returns real part (oops). + + * reconSpyrLevs.m (maxLev): got rid of superfluous nbands argument + (can be calculated from bfilts). + +Mon May 26 12:29:54 1997 Eero Simoncelli + + * showIm.m/pgmWrite.m: Modified 'auto3'-scaling to use a + histogram. This gives a significant speedup. + + * fixed a few minor bugs in the TUTORIALS, having to do with + matching image sizes to the machine speed... + +Sat May 10 17:27:25 1997 Eero Simoncelli + + * pgmWrite.m: fixed auto-scaling bug. Added new scaling + calculations, parallel to those of imShow. + +Fri May 9 09:02:56 1997 Eero Simoncelli + + * buildSFpyr.m: Changed NBANDS argument to be ORDER, which is one + less than the number of orientation bands. This is consistent + with the derivative order, and the labels on the spNFilters files. + +Tue May 6 19:08:18 1997 Eero Simoncelli + + ** Added buildSFpyr, reconSFpyr: Steerable pyramids constructed + in the Fourier domain. Radial functions tile, with a + raised-cosine falloff. Angular functions are + cos(theta-k\pi/(K+1))^K, where K is the order (number of bands + minus 1). Compared to the convolution version: + + Reconstruction is exact (within floating point errors) + + Can produce any number of orientation bands. + - Typically slower. + - Boundary-handling must be circular. + Could be made much more efficient by taking advantage of symmetries in + the fft! + + * Added example usage of Fourier steerable pyramid to TUTORIALS/pyramids.m + + * steer.m: fixed for harmonic lists including zero. + +Sun May 4 15:16:10 1997 Eero Simoncelli + + * MEX/Makefile-linux: created. + + * spyrHt, spyrNumBands: Modified to return 0 for pyramids of height 0. + + * reconWpyr.m: utilize desctructive addition in calls to upConv. + + * reconSpyr.m: Added error check to ensure consistancy between + pyramid and filter file. Utilize destructive addition in upConv + call on highpass band. Modified to work properly with pyramids of + height 0. + +Mon Apr 28 13:38:10 1997 Eero Simoncelli + + * lplot.m: modified to handle complex vectors, use standard MatLab + indices, and show minimal axes. Added xrange parameter to allow + adjustment of X axis labeling. + +Sun Apr 27 20:20:41 1997 Eero Simoncelli + + * var2, skew2, kurt2: enhanced to work on complex matrices. + +Sat Apr 26 11:16:12 1997 Eero Simoncelli + + * Changed parent directory (and distribution) name: + matlabImTools -> matlabPyrTools + + * namedFilter.m: Added two more Daubechies filters, and modified + names to match the reference (e.g., daub2 is now a 4-tap filter). + + * Added vectorize.m: trivial function to pack matrix into vector (i.e., + computes mtx(:)). + + * Added upBlur.m: Upsample and blur (parallels blurDn). + +Sun Apr 13 14:23:38 1997 Eero Simoncelli + + * TUTORIALS/pyramids.m: Added plots of Fourier spectra for Wavelet bases. + + * make-tar-file: switched from compress to gzip for the + distribution tarfile. + + * namedFilter.m: Added a few even-length QMF's from Johnston80. + +Fri Apr 11 19:16:21 1997 Eero Simoncelli + + * buildWpyr.m, reconWpyr.m: Modified slightly, so that subsampling + lattice is better for even-length filters. + + * TUTORIALS/pyramids.m: Substantially overhauled. + +Thu Apr 10 15:20:23 1997 Eero Simoncelli + + * blurDn.m: added this function to downsample an image by a factor + 2^L. + + * Fixed minor bug in upConv.m: errors in image size checking. + +Mon Apr 7 13:25:37 1997 Eero Simoncelli + + * Changed TUTORIALS/matlabImTools.m to use histo.mex instead of + matlab's hist. + +Wed Apr 2 13:20:55 1997 Eero Simoncelli + + ** Incorporated Denis Pelli's ThinkC and MetroWorks projects for + Macintosh versions of the MEX code, along with MEX binaries. These + are included as an HQX'ed self-extracting archive + (Macintosh-MEX.sit.hqx), in the MEX subdirectory. + +Tue Apr 1 15:35:31 1997 Eero Simoncelli + + * edges.c: modified by Denis Pelli to support THINK C. * edges.c: + + * histo.c, upConv.c, corrDn.c: minor changes in error message + printouts, to work around bugs in THINK C. + + * Included Denis Pelli's MacReadMe file in the MEX subdirectory, + which gives instructions for MEX file compilation on a MacIntosh + (PPC or 68k). + + * wrap.c, convolve.c, edges.c: added explicit int function + declarations, and return values. + + * range2.m/range2.c: A MEX function for fast min/max computation. + Adjusted entropy2.m, histo.m, imStats.m, pgmWrite.m, showIm.m, + showLpyr.m, showSpyr.m, showWpyr.m to call it. + +Thu Mar 27 17:23:05 1997 Eero Simoncelli + + ** histo.m/histo.c: Added MEX function HISTO, a fast replacement + for matlab's HIST function. Modified histoMatch.m, entropy2.m to + call it. + + * Changed main directory name to matlabImTools. + + * Added TUTORIALS/README file. + +Wed Mar 19 14:19:51 1997 Eero Simoncelli + + * Changed directory name: MEX_SRC -> MEX + +Wed Mar 12 17:00:03 1997 Eero Simoncelli + + * mkGaussian.m: fixed another (X,Y) bug: both dimensions and + cov/mean are now specified in [y,x] order. + +Tue Mar 11 19:08:17 1997 Eero Simoncelli + + * showSpyr.m: Fixed a bug that was dropping display of one + orientation band when there were more than 2 of them! + +Mon Mar 10 19:08:24 1997 Eero Simoncelli + + * Added shift.m + + * makeSteerMtx -> steerDir2HarmMtx + + * Added TUTORIALS/matlab-EPS.m: examples using the code in this + distribution. + +Sun Mar 9 17:49:18 1997 Eero Simoncelli + + ** showIm.m: + - args: changed order so that NSHADES is last. + - TITLES: Can now pass a string for IM, which will be evaluated + in the global environment to get the matrix. The string is + used as a title. MATLAB v.5 ONLY!!! + - Added 'auto3' RANGE value, that scales based on percentiles. + THis is more robust to outliers than 'auto2' or 'auto1'. + + * pixelAxes.m: Made a more serious attempt to reverse-engineer + Mathworks' image pixelization. It is improved, but still makes + occasional errors. + + * Added skew2.m. + +Fri Mar 7 10:11:07 1997 Eero Simoncelli + + * pixelAxes.m: Modified to take an optional + ZOOM argument. Fixed dimension ordering bug + (positions are reported (x,y), but mtx dims are (y,x)!) + + * showIm.m: Added an optional ZOOM argument. + +Thu Mar 6 14:17:19 1997 Eero Simoncelli + + * Added showLpyr, showWpyr, showSpyr. Modified + TUTORIALS/pyramids.m to use them. + + * added pixelAxes.m: Adjusts size (in pixels) of currently + displayed image to be a multiple of the matrix dimensions, + thus eliminating display aliasing artifacts. + This is now called by all the "show" commands. + +Mon Mar 3 17:33:25 1997 Eero Simoncelli + + * Fixed bug in pgmWrite (dimensions were written in reverse order). + + * Fixed bug in showIm (X and Y coords were swapped on label display). + + * Fixed bug in reconLpyr (swapped X and Y coords on int_sz) + + * Changed calls to "reshape" to pass dimensions individually -- + older version of matlab do not accept the reshape(mtx,[y x]) form. + + * Fixed bug in mkDisc: sz a scalar. + + * Added ifftshift.m + +Fri Feb 28 11:07:20 1997 Eero Simoncelli + + * Re-worked TUTORIALS/pyramids.m + + * buildGpyr and buildLpyr now use 1+maxPyrHt for default height. + + * Fixed buildGpyr to work on 1D signals. + + ** Gaussian/Laplacian/Wavelet pyramid build and recon functions: + - work properly with new corrDn/upConv. + - use separable convolutions + - use destructive modification ability of upConv (less memory + allocation) + + * modulateFlipShift -> modulateFlip. + + * added lpyrHt, wpyrHt, spyrHt to return number of levels in a pyramid. + +Thu Feb 27 15:39:53 1997 Eero Simoncelli + + * Changed angular coordinate systems to CLOCKWISE in mkRamp, + mkTheta, mkSine, mkSquare. This is unnatural for screen viewing, + but consistent with an origin in the upper left corner of the + image, which is the way one addresses the underlying matrix. + + * mkSine and mkSquare can now take a frequency vector or the + period and direction args + +Tue Feb 25 11:58:33 1997 Eero Simoncelli + + ** Rewrote corrDn/upConv C routines: + - more efficient + - changed START parameters to have [1 1] origin, consistent with + matlab + - added STOP parameters + - upConv allows destructive modification of a result arg + - changed order of other params (sorry) + - wrote test file conv_test.m + * wrote zconv2.m + +Wed Aug 19 20:39:15 1996 Eero Simoncelli (eero@tarpon.cis.upenn.edu) + + ** Added "pointOp" function (MUCH faster than interp1). + ** Added "histoMatch" function. + +Fri Aug 2 00:56:31 1996 Eero Simoncelli (eero@tarpon.cis.upenn.edu) + + * Changed all function/file-names to be of the form "fooBar". * + Fixed entropy2.m (busted due to typo). + +Most matlab code was developed from 1992-1996, while the author was an +assistant professor of Computer and Information Science at University of +Pennsylvania. + +Original convolution code was written in Spring 1986, and comes from +OBVIUS (Object-Based Vision and Image Understanding System), an +interactive image-processing system written in Common Lisp (with calls +to C code). + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/Contents.m b/matlab/external/gptoolbox/external/matlabPyrTools/Contents.m new file mode 100644 index 0000000..f9948f4 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/Contents.m @@ -0,0 +1,109 @@ +% matlabPyrTools: Image and Multi-scale Pyramid Tools +% Version: 1.4, December-2009. +% Created: Early Spring, 1996. +% Author: Eero Simoncelli, eero.simoncelli@nyu.edu +% +% See README file for brief description. +% See ChangeLog file for latest modifications. +% See TUTORIALS subdirectory for demonstrations. +% Type "help matlabPyrTools" to see this file as documentation. +% Type "help " for documentation on individual commands. +% ----------------------------------------------------------------- +% Synthetic Images (matrices): +% mkImpulse - Make an image containing an impulse. +% mkRamp - Make an image containing a ramp function. +% mkR - Make an image containing distance from the origin. +% mkAngle - Make an image containing angle about origin. +% mkDisc - Make an image containing a disk image. +% mkGaussian - Make an image containing a Gaussian function. +% mkZonePlate - Make an image containing a zone plate (cos(r^2)). +% mkAngularSine - Make an image containing an angular sine wave (pinwheel). +% mkSine - Make an image containing a sine grating. +% mkSquare - Make an image containing a square grating. +% mkFract - Make an image containing fractal (1/f) noise. +% +% Point Operations: +% clip - clip values to a range. +% pointOp - Lookup table (much faster than interp1) [MEX file] +% histo - Efficient histogram computation [MEX file] +% histoMatch - Modify matrix elements to match specified histogram stats. +% +% Convolution (first two are significantly faster): +% corrDn - Correlate & downsample with boundary-handling [MEX file] +% upConv - Upsample & convolve with boundary-handling [MEX file] +% blurDn - Blur and subsample a signal/image. +% upBlur - Upsample and blur a signal/image. +% blur - Multi-scale blurring, calls blurDn and then upBlur. +% cconv2 - Circular convolution. +% rconv2 - Convolution with reflected boundaries. +% zconv2 - Convolution assuming zeros beyond image boundaries. +% +% General pyramids: +% pyrLow - Access lowpass subband from (any type of) pyramid +% pyrBand - Access a subband from (any type of) pyramid +% setPyrBand - Insert an image into (any type of) pyramid as a subband +% pyrBandIndices - Returns indices for given band in a pyramid vector +% maxPyrHt - compute maximum number of scales in a pyramid +% +% Gaussian/Laplacian Pyramids: +% buildGpyr - Build a Gaussian pyramid of an input signal/image. +% buildLpyr - Build a Laplacian pyramid of an input signal/image. +% reconLpyr - Reconstruct (invert) the Laplacian pyramid transform. +% +% Separable orthonormal QMF/wavelet Pyramids: +% buildWpyr - Build a separable wavelet representation of an input signal/image. +% reconWpyr - Reconstruct (invert) the wavelet transform. +% wpyrBand - Extract a single band of the wavelet representation. +% wpyrLev - Extract (packed) subbands at a particular level +% wpyrHt - Number of levels (height) of a wavelet pyramid. +% +% Steerable Pyramids: +% buildSpyr - Build a steerable pyramid representation of an input image. +% reconSpyr - Reconstruct (invert) the steerable pyramid transform. +% buildSFpyr - Build a steerable pyramid representation in the Fourier domain. +% reconSFpyr - Reconstruct (invert) the (Fourier domain) steerable pyramid transform. +% spyrBand - Extract a single band from a steerable pyramid. +% spyrHigh - Highpass residual band. +% spyrLev - A whole level (i.e., all images at a given scale) of a steerable pyramid. +% spyrHt - Number of levels (height) of a steerable pyramid. +% spyrNumBands - Number of orientation bands in a steerable pyramid. +% +% Steerable filters / derivatives: +% imGradient - Compute gradient of image using directionally accurete filters. +% steer - Steer filters (or responses). +% steer2HarmMtx - Construct a matrix mapping direcional basis to angular harmonics. +% +% Filters: +% binomialFilter - returns a filter of binomial coefficients. +% namedFilter - some typical Laplacian/Wavelet pyramid filters +% spNFilters - Set of Nth order steerable pyramid filters. +% derivNFiltersS - Matched set of S-tap 1D derivatives, orders 0 to N. +% +% Display: +% showIm - Display a matrix (real or complex) as grayscale image(s). +% Displays dimensions, subsampling, and range of pixel values. +% showLpyr - Display a Laplacian pyramid. +% showWpyr - Display a separable wavelet pyramid. +% showSpyr - Display a steerable pyramid. +% lplot - "lollipop" plot. +% nextFig - Make next figure window current. +% pixelAxes - Make image display use an integer number of pixels +% per sample to avoid resampling artifacts. +% +% Statistics (for 2D Matrices): +% range2 - Min and max of image (matrix) [MEX file] +% mean2 - Sample mean of an image (matrix). +% var2 - Sample variance of an image (matrix). +% skew2 - Sample skew (3rd moment / variance^1.5) of an image (matrix). +% kurt2 - Sample kurtosis (4th moment / variance^2) of an image (matrix). +% entropy2 - Sample entropy of an image (matrix). +% imStats - Report sample statistics of an image, or pair of images. +% +% Miscellaneous: +% pgmRead - Load a "pgm" image into a MatLab matrix [try einstein.pgm,feynman.pgm] +% pgmWrite - Write a MatLab matrix to a "pgm" image file. +% shift - circular shift a 2D matrix by an arbitrary amount. +% vectify - pack matrix into column vector (i.e., function to compute mtx(:)). +% ifftshift - inverse of MatLab's FFTSHIFT (differs for odd-length dimensions) +% rcosFn - return a lookup table of a raised-cosine threshold fn. +% innerProd - Compute M'*M efficiently (i.e., do not copy) [MEX file] diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/-MacReadMe b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/-MacReadMe new file mode 100644 index 0000000..898dc0c --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/-MacReadMe @@ -0,0 +1 @@ +MacReadMe How to compile a MEX file for Macintosh (Based on a similar note written by David Brainard and Denis Pelli to accompany the Psychophysics Toolbox.) A MEX file (short for "MATLAB extension") contains code that implements a new MATLAB function, allowing users to use the full power of the C language and the Macintosh hardware and operating system in implementing a new MATLAB function. This document explains how to produce a MEX file that is "fat" (i.e. will run as native code on both 68K and PowerPC Macs) and is compatible with both MATLAB 4 and 5. 1) To produce a MATLAB MEX file with PowerPC code you must have the Metrowerks CodeWarrior C compiler (version 10 or better, abbreviated as CW below). To produce 68K code we still use the Symantec THINK C compiler (version from Symantec C++ 8 CD-ROM release 5), but we will soon be switching to Metrowerks CodeWarrior. (See note A below.) 2) Place a copy of the MATLAB 4:Extern folder, supplied by Mathworks, on your compiler's search path. We suggest that you name the copy "MEX V4". (See notes B and C, below.) 3) Build any of the MEX files simply by opening its project file and asking your compiler to "Build Code Resource" (in THINK C) or to "Make" it (in CW). For each MEX file, e.g. histo.mex, there are two associated projects, e.g. histo.µ for CW, and histo.¹.4 for THINK C. To build a "fat" MEX, that runs native on both 68K and PowerPC, you should first compile in THINK C, and then in CW. (See note A, below.) Denis Pelli April 2, 1997 Notes A) The Mathworks support only the THINK C compiler to make 68K MEX code for MATLAB version 4 and only the CW compiler to make PPC MEX files for MATLAB 4 and both 68K and PPC for MATLAB 5. This archive includes THINK and CW projects. To build a fat MEX file for MATLAB 4, first "make" the THINK C version (e.g. histo.¹.4), producing a file with a .rsrc extension (e.g. histo.µ.rsrc). This is the 68K MEX file. When you then "make" histo.µ, the CW project incorporates the .rsrc file and generates a "fat" MEX file that will run native (i.e. fast) on both 68K and PowerPC. To make a 68K-only MEX file, simply rename, e.g., histo.µ.rsrc to histo.mex after you make the THINK project, and set the file type and creator to match the other MEX files. THINK C is slow and hard to work with. Symantec hasn't significantly upgraded in it many years. There is an error in the math.h header (version from Symantec C++ 8 CD-ROM release 5). We fix that error by some tricky preprocessor defines and undefines in the THINK C Prefix in each of the THINK projects. B) The easiest way to put a folder on your compilerÕs search path is simply to put the folder in the same folder as the compiler itself. If you want to use both CW and THINK C, then put the folder under CW, make an alias of it, and put the alias in THINK C's "Aliases" folder. C) Happily, MATLAB 5 is capable of running both V4 and V5 MEX files. Thus we are currently distributing sources that compile into V4 MEX files. The resulting MEX files run both under V4 and V5. In the future we will drop support for V4 and THINK C. (See note A above.) \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/.nfs0000000000116fef00000004 b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/.nfs0000000000116fef00000004 new file mode 100644 index 0000000..a6d7c19 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/.nfs0000000000116fef00000004 differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/compilePyrTools.m b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/compilePyrTools.m new file mode 100644 index 0000000..a4c8ed4 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/compilePyrTools.m @@ -0,0 +1,15 @@ +% This is a script file for compiling the mex versions of the Steerable +% Pyramid Tools. +% +% Usage:>> compilePyrTools +% +% Tested for gcc and lcc. +% +% Rob Young, 9/08 + +mex upConv.c convolve.c wrap.c edges.c +mex corrDn.c convolve.c wrap.c edges.c +mex histo.c +%mex innerProd.c +mex pointOp.c +mex range2.c diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/convolve.c b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/convolve.c new file mode 100644 index 0000000..60a11a4 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/convolve.c @@ -0,0 +1,325 @@ +/* +;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; +;;; File: convolve.c +;;; Author: Eero Simoncelli +;;; Description: General convolution code for 2D images +;;; Creation Date: Spring, 1987. +;;; MODIFICATIONS: +;;; 10/89: approximately optimized the choice of register vars on SPARCS. +;;; 6/96: Switched array types to double float. +;;; 2/97: made more robust and readable. Added STOP arguments. +;;; 8/97: Bug: when calling internal_reduce with edges in {reflect1,repeat, +;;; extend} and an even filter dimension. Solution: embed the filter +;;; in the upper-left corner of a filter with odd Y and X dimensions. +;;; ---------------------------------------------------------------- +;;; Object-Based Vision and Image Understanding System (OBVIUS), +;;; Copyright 1988, Vision Science Group, Media Laboratory, +;;; Massachusetts Institute of Technology. +;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; +*/ + +#include +#include +#include "convolve.h" + +/* + -------------------------------------------------------------------- + Correlate FILT with IMAGE, subsampling according to START, STEP, and + STOP parameters, with values placed into RESULT array. RESULT + dimensions should be ceil((stop-start)/step). TEMP should be a + pointer to a temporary double array the size of the filter. + EDGES is a string specifying how to handle boundaries -- see edges.c. + The convolution is done in 9 sections, where the border sections use + specially computed edge-handling filters (see edges.c). The origin + of the filter is assumed to be (floor(x_fdim/2), floor(y_fdim/2)). +------------------------------------------------------------------------ */ + +/* abstract out the inner product computation */ +#define INPROD(XCNR,YCNR) \ + { \ + sum=0.0; \ + for (im_pos=YCNR*x_dim+XCNR, filt_pos=0, x_filt_stop=x_fdim; \ + x_filt_stop<=filt_size; \ + im_pos+=(x_dim-x_fdim), x_filt_stop+=x_fdim) \ + for (; \ + filt_pos +#include + +#define ABS(x) (((x)>=0) ? (x) : (-(x))) +#define ROOT2 1.4142135623730951 +#define REDUCE 0 +#define EXPAND 1 +#define IS == +#define ISNT != +#define AND && +#define OR || + +typedef int (*fptr)(); + +typedef struct + { + char *name; + fptr func; + } EDGE_HANDLER; + +typedef double image_type; + +fptr edge_function(char *edges); +int internal_reduce(image_type *image, int x_idim, int y_idim, + image_type *filt, image_type *temp, int x_fdim, int y_fdim, + int x_start, int x_step, int x_stop, + int y_start, int y_step, int y_stop, + image_type *result, char *edges); +int internal_expand(image_type *image, + image_type *filt, image_type *temp, int x_fdim, int y_fdim, + int x_start, int x_step, int x_stop, + int y_start, int y_step, int y_stop, + image_type *result, int x_rdim, int y_rdim, char *edges); +int internal_wrap_reduce(image_type *image, int x_idim, int y_idim, + image_type *filt, int x_fdim, int y_fdim, + int x_start, int x_step, int x_stop, + int y_start, int y_step, int y_stop, + image_type *result); +int internal_wrap_expand(image_type *image, image_type *filt, int x_fdim, int y_fdim, + int x_start, int x_step, int x_stop, + int y_start, int y_step, int y_stop, + image_type *result, int x_rdim, int y_rdim); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/corrDn.c b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/corrDn.c new file mode 100644 index 0000000..d02e272 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/corrDn.c @@ -0,0 +1,145 @@ +/* +RES = corrDn(IM, FILT, EDGES, STEP, START, STOP); + >>> See corrDn.m for documentation <<< + This is a matlab interface to the internal_reduce function. + EPS, 7/96. +*/ + +#define V4_COMPAT +#include /* Matlab matrices */ +#include + +#include "convolve.h" + +#define notDblMtx(it) (!mxIsNumeric(it) || !mxIsDouble(it) || mxIsSparse(it) || mxIsComplex(it)) + +void mexFunction(int nlhs, /* Num return vals on lhs */ + mxArray *plhs[], /* Matrices on lhs */ + int nrhs, /* Num args on rhs */ + const mxArray *prhs[] /* Matrices on rhs */ + ) + { + double *image,*filt, *temp, *result; + int x_fdim, y_fdim, x_idim, y_idim; + int x_rdim, y_rdim; + int x_start = 1; + int x_step = 1; + int y_start = 1; + int y_step = 1; + int x_stop, y_stop; + const mxArray *arg0,*arg1,*arg3,*arg4; + double *mxMat; + char edges[15] = "reflect1"; + + if (nrhs<2) mexErrMsgTxt("requres at least 2 args."); + + /* ARG 1: IMAGE */ + arg0 = prhs[0]; + if notDblMtx(arg0) mexErrMsgTxt("IMAGE arg must be a non-sparse double float matrix."); + image = mxGetPr(arg0); + x_idim = (int) mxGetM(arg0); /* X is inner index! */ + y_idim = (int) mxGetN(arg0); + + /* ARG 2: FILTER */ + arg1 = prhs[1]; + if notDblMtx(arg1) mexErrMsgTxt("FILTER arg must be non-sparse double float matrix."); + filt = mxGetPr(arg1); + x_fdim = (int) mxGetM(arg1); + y_fdim = (int) mxGetN(arg1); + + if ((x_fdim > x_idim) || (y_fdim > y_idim)) + { + mexPrintf("Filter: [%d %d], Image: [%d %d]\n",x_fdim,y_fdim,x_idim,y_idim); + mexErrMsgTxt("FILTER dimensions larger than IMAGE dimensions."); + } + + /* ARG 3 (optional): EDGES */ + if (nrhs>2) + { + if (!mxIsChar(prhs[2])) + mexErrMsgTxt("EDGES arg must be a string."); + mxGetString(prhs[2],edges,15); + } + + /* ARG 4 (optional): STEP */ + if (nrhs>3) + { + arg3 = prhs[3]; + if notDblMtx(arg3) mexErrMsgTxt("STEP arg must be a double float matrix."); + if (mxGetM(arg3) * mxGetN(arg3) != 2) + mexErrMsgTxt("STEP arg must contain two elements."); + mxMat = mxGetPr(arg3); + x_step = (int) mxMat[0]; + y_step = (int) mxMat[1]; + if ((x_step<1) || (y_step<1)) + mexErrMsgTxt("STEP values must be greater than zero."); + } + + /* ARG 5 (optional): START */ + if (nrhs>4) + { + arg4 = prhs[4]; + if notDblMtx(arg4) mexErrMsgTxt("START arg must be a double float matrix."); + if (mxGetM(arg4) * mxGetN(arg4) != 2) + mexErrMsgTxt("START arg must contain two elements."); + mxMat = mxGetPr(arg4); + x_start = (int) mxMat[0]; + y_start = (int) mxMat[1]; + if ((x_start<1) || (x_start>x_idim) || + (y_start<1) || (y_start>y_idim)) + mexErrMsgTxt("START values must lie between 1 and the image dimensions."); + } + x_start--; /* convert from Matlab to standard C indexes */ + y_start--; + + /* ARG 6 (optional): STOP */ + if (nrhs>5) + { + if notDblMtx(prhs[5]) mexErrMsgTxt("STOP arg must be double float matrix."); + if (mxGetM(prhs[5]) * mxGetN(prhs[5]) != 2) + mexErrMsgTxt("STOP arg must contain two elements."); + mxMat = mxGetPr(prhs[5]); + x_stop = (int) mxMat[0]; + y_stop = (int) mxMat[1]; + if ((x_stopx_idim) || + (y_stopy_idim)) + mexErrMsgTxt("STOP values must lie between START and the image dimensions."); + } + else + { + x_stop = x_idim; + y_stop = y_idim; + } + + x_rdim = (x_stop-x_start+x_step-1) / x_step; + y_rdim = (y_stop-y_start+y_step-1) / y_step; + + /* mxFreeMatrix(plhs[0]); */ + plhs[0] = (mxArray *) mxCreateDoubleMatrix(x_rdim,y_rdim,mxREAL); + if (plhs[0] == NULL) mexErrMsgTxt("Cannot allocate result matrix"); + result = mxGetPr(plhs[0]); + + temp = mxCalloc(x_fdim*y_fdim, sizeof(double)); + if (temp == NULL) + mexErrMsgTxt("Cannot allocate necessary temporary space"); + + /* + printf("i(%d, %d), f(%d, %d), r(%d, %d), X(%d, %d, %d), Y(%d, %d, %d), %s\n", + x_idim,y_idim,x_fdim,y_fdim,x_rdim,y_rdim, + x_start,x_step,x_stop,y_start,y_step,y_stop,edges); + */ + + if (strcmp(edges,"circular") == 0) + internal_wrap_reduce(image, x_idim, y_idim, filt, x_fdim, y_fdim, + x_start, x_step, x_stop, y_start, y_step, y_stop, + result); + else internal_reduce(image, x_idim, y_idim, filt, temp, x_fdim, y_fdim, + x_start, x_step, x_stop, y_start, y_step, y_stop, + result, edges); + + mxFree((char *) temp); + return; + } + + + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/corrDn.mexa64 b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/corrDn.mexa64 new file mode 100644 index 0000000..94dc932 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/corrDn.mexa64 differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/corrDn.mexglx b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/corrDn.mexglx new file mode 100644 index 0000000..7a1decd Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/corrDn.mexglx differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/corrDn.mexmac b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/corrDn.mexmac new file mode 100644 index 0000000..75a5407 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/corrDn.mexmac differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/corrDn.mexmaci b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/corrDn.mexmaci new file mode 100644 index 0000000..77f4f4c Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/corrDn.mexmaci differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/corrDn.mexw32 b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/corrDn.mexw32 new file mode 100644 index 0000000..5140651 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/corrDn.mexw32 differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/edges-orig.c b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/edges-orig.c new file mode 100644 index 0000000..1f6a98b --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/edges-orig.c @@ -0,0 +1,494 @@ +/* +;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; +;;; File: edges.c +;;; Author: Eero Simoncelli +;;; Description: Boundary handling routines for use with convolve.c +;;; Creation Date: Spring 1987. +;;; MODIFIED, 6/96, to operate on double float arrays. +;;; MODIFIED by dgp, 4/1/97, to support THINK C. +;;; ---------------------------------------------------------------- +;;; Object-Based Vision and Image Understanding System (OBVIUS), +;;; Copyright 1988, Vision Science Group, Media Laboratory, +;;; Massachusetts Institute of Technology. +;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; +*/ + +/* +This file contains functions which determine how edges are to be +handled when performing convolutions of images with linear filters. +Any edge handling function which is local and linear may be defined, +except (unfortunately) constants cannot be added. So to treat the +edges as if the image is surrounded by a gray field, you must paste it +into a gray image, convolve, and crop it out... +The main convolution function is called internal_filter and is defined +in the file convolve.c. The idea is that the convolution function +calls the edge handling function which computes a new filter based on +the old filter and the distance to the edge of the image. For +example, reflection is done by reflecting the filter through the +appropriate axis and summing. Currently defined functions are listed +below. +*/ + +/* +#define DEBUG +*/ + +#include +#include +#include +#include "convolve.h" + +#define sgn(a) ( ((a)>0)?1:(((a)<0)?-1:0) ) +#define clip(a,mn,mx) ( ((a)<(mn))?(mn):(((a)>=(mx))?(mx-1):(a)) ) + +int reflect1(), reflect2(), repeat(), zero(), Extend(), nocompute(); +int ereflect(), predict(); + +/* Lookup table matching a descriptive string to the edge-handling function */ +#if !THINK_C + static EDGE_HANDLER edge_foos[] = + { + { "dont-compute", nocompute }, /* zero output for filter touching edge */ + { "zero", zero }, /* zero outside of image */ + { "repeat", repeat }, /* repeat edge pixel */ + { "reflect1", reflect1 }, /* reflect about edge pixels */ + { "reflect2", reflect2 }, /* reflect image, including edge pixels */ + { "extend", Extend }, /* extend (reflect & invert) */ + { "predict", predict }, /* predict based on portion covered by filt */ + { "ereflect", ereflect }, /* orthogonal QMF reflection */ + }; +#else + /* + This is really stupid, but THINK C won't allow initialization of static variables in + a code resource with string addresses. So we do it this way. + The 68K code for a MATLAB 4 MEX file can only be created by THINK C. + However, for MATLAB 5, we'll be able to use Metrowerks CodeWarrior for both 68K and PPC, so this + cludge can be dropped when we drop support for MATLAB 4. + Denis Pelli, 4/1/97. + */ + static EDGE_HANDLER edge_foos[8]; + + void InitializeTable(EDGE_HANDLER edge_foos[]) + { + static int i=0; + + if(i>0) return; + edge_foos[i].name="dont-compute"; + edge_foos[i++].func=nocompute; + edge_foos[i].name="zero"; + edge_foos[i++].func=zero; + edge_foos[i].name="repeat"; + edge_foos[i++].func=repeat; + edge_foos[i].name="reflect1"; + edge_foos[i++].func=reflect1; + edge_foos[i].name="reflect2"; + edge_foos[i++].func=reflect2; + edge_foos[i].name="extend"; + edge_foos[i++].func=Extend; + edge_foos[i].name="predict"; + edge_foos[i++].func=predict; + edge_foos[i].name="ereflect"; + edge_foos[i++].func=ereflect; + } +#endif + +/* +Function looks up an edge handler id string in the structure above, and +returns the associated function +*/ +fptr edge_function(char *edges) + { + int i; + +#if THINK_C + InitializeTable(edge_foos); +#endif + for (i = 0; i1) OR (x_pos<-1) OR (y_pos>1) OR (y_pos<-1) ) + for (i=0; i0)?(x_pos-1):((x_pos<0)?(x_pos+1):0)); + int y_start = x_dim * ((y_pos>0)?(y_pos-1):((y_pos<0)?(y_pos+1):0)); + int i; + + for (i=0; i= 0) AND (y_res < filt_sz)) + for (x_filt=y_filt, x_res=x_start; + x_filt= 0) AND (x_res < x_dim)) + result[y_res+x_res] = filt[x_filt]; + return(0); + } + +/* -------------------------------------------------------------------- +repeat() - repeat edge pixel. Continuous, but content is usually +different from image. +*/ + +int repeat(filt,x_dim,y_dim,x_pos,y_pos,result,f_or_e) + register double *filt, *result; + register int x_dim; + int y_dim, x_pos, y_pos, f_or_e; + { + register int y_filt,x_filt, y_res,x_res; + int filt_sz = x_dim*y_dim; + int x_start = ((x_pos>0)?(x_pos-1):((x_pos<0)?(x_pos+1):0)); + int y_start = x_dim * ((y_pos>0)?(y_pos-1):((y_pos<0)?(y_pos+1):0)); + int i; + + for (i=0; i=0)?((y_res=0)?((x_res0)?(x_dim-1):0; + register int y_base = (y_pos>0)?(x_dim*(y_dim-1)):0; + int filt_sz = x_dim*y_dim; + int x_edge_dist = (x_pos>0)?(x_pos-x_dim-1):(x_pos+1); + int y_edge_dist = x_dim * ((y_pos>0)?(y_pos-y_dim-1):(y_pos+1)); + int i; + + #ifdef DEBUG + printf("(%d,%d) ",y_pos,x_pos); + if (x_pos==0) printf("\n"); + #endif + + for (i=0; i0)?(x_dim-1):0; + register int y_base = (y_pos>0)?(x_dim*(y_dim-1)):0; + int x_edge_dist = (x_pos>0)?(x_pos-x_dim):((x_pos<0)?(x_pos+1):0); + int y_edge_dist = x_dim * ((y_pos>0)?(y_pos-y_dim):((y_pos<0)?(y_pos+1):0)); + int i; + int mx_pos = (x_dim/2)+1; + int my_pos = (y_dim/2)+1; + + #ifdef DEBUG + printf("(%d,%d) ",y_pos,x_pos); + if (x_pos==0) printf("\n"); + #endif + + for (i=0; i0)?(x_dim-1):0; + register int y_base = (y_pos>0)?(x_dim*(y_dim-1)):0; + int x_edge_dist = (x_pos>0)?(x_pos-x_dim):((x_pos<-1)?(x_pos+1):0); + int y_edge_dist = x_dim * ((y_pos>0)?(y_pos-y_dim):((y_pos<-1)?(y_pos+1):0)); + int i; + int mx_pos = (x_dim/2)+1; + int my_pos = (y_dim/2)+1; + + for (i=0; i0)?(x_pos-1):((x_pos<0)?(x_pos+1):0)); + int y_start = x_dim * ((y_pos>0)?(y_pos-1):((y_pos<0)?(y_pos+1):0)); + int i; + + for (i=0; i= 0) AND (y_res < filt_sz)) + for (x_filt=y_filt, x_res=x_start; + x_filt= 0) AND (x_res < x_dim)) + { + result[y_res+x_res] = filt[x_filt]; + taps_used += ABS(filt[x_filt]); + } + printf("TU: %f\n",taps_used); + if (f_or_e IS FILTER) + { + /* fraction = ( (double) filt_sz ) / ( (double) taps_used ); */ + for (i=0; i0)?(x_dim-1):0; + register int y_base = x_dim * ( (y_pos>0)?(y_dim-1):0 ); + int filt_sz = x_dim*y_dim; + int x_edge_dist = (x_pos>1)?(x_pos-x_dim):((x_pos<-1)?(x_pos+1):0); + int y_edge_dist = x_dim * ( (y_pos>1)?(y_pos-y_dim):((y_pos<-1)?(y_pos+1):0) ); + int i; + double norm,onorm; + + for (i=0; i +#include +#include +#include "convolve.h" + +#define sgn(a) ( ((a)>0)?1:(((a)<0)?-1:0) ) +#define clip(a,mn,mx) ( ((a)<(mn))?(mn):(((a)>=(mx))?(mx-1):(a)) ) + +int reflect1(), reflect2(), qreflect2(), repeat(), zero(), Extend(), nocompute(); +int ereflect(), predict(); + +/* Lookup table matching a descriptive string to the edge-handling function */ +#if !THINK_C + static EDGE_HANDLER edge_foos[] = + { + { "dont-compute", nocompute }, /* zero output for filter touching edge */ + { "zero", zero }, /* zero outside of image */ + { "repeat", repeat }, /* repeat edge pixel */ + { "reflect1", reflect1 }, /* reflect about edge pixels */ + { "reflect2", reflect2 }, /* reflect image, including edge pixels */ + { "qreflect2", qreflect2 }, /* reflect image, including edge pixels + for even-length QMF decompositions */ + { "extend", Extend }, /* extend (reflect & invert) */ + { "ereflect", ereflect }, /* orthogonal QMF reflection */ + }; +#else + /* + This is really stupid, but THINK C won't allow initialization of static variables in + a code resource with string addresses. So we do it this way. + The 68K code for a MATLAB 4 MEX file can only be created by THINK C. + However, for MATLAB 5, we'll be able to use Metrowerks CodeWarrior for both 68K and PPC, so this + cludge can be dropped when we drop support for MATLAB 4. + Denis Pelli, 4/1/97. + */ + static EDGE_HANDLER edge_foos[8]; + + void InitializeTable(EDGE_HANDLER edge_foos[]) + { + static int i=0; + + if(i>0) return; + edge_foos[i].name="dont-compute"; + edge_foos[i++].func=nocompute; + edge_foos[i].name="zero"; + edge_foos[i++].func=zero; + edge_foos[i].name="repeat"; + edge_foos[i++].func=repeat; + edge_foos[i].name="reflect1"; + edge_foos[i++].func=reflect1; + edge_foos[i].name="reflect2"; + edge_foos[i++].func=reflect2; + edge_foos[i].name="qreflect2"; + edge_foos[i++].func=qreflect2; + edge_foos[i].name="extend"; + edge_foos[i++].func=Extend; + edge_foos[i].name="ereflect"; + edge_foos[i++].func=ereflect; + } +#endif + +/* +Function looks up an edge handler id string in the structure above, and +returns the associated function +*/ +fptr edge_function(char *edges) + { + int i; + +#if THINK_C + InitializeTable(edge_foos); +#endif + for (i = 0; i1) OR (x_pos<-1) OR (y_pos>1) OR (y_pos<-1) ) + for (i=0; i0)?(x_pos-1):((x_pos<0)?(x_pos+1):0)); + int y_start = x_dim * ((y_pos>0)?(y_pos-1):((y_pos<0)?(y_pos+1):0)); + int i; + + for (i=0; i= 0) AND (y_res < filt_sz)) + for (x_filt=y_filt, x_res=x_start; + x_filt= 0) AND (x_res < x_dim)) + result[y_res+x_res] = filt[x_filt]; + return(0); + } + + +/* -------------------------------------------------------------------- +reflect1() - Reflection through the edge pixels. Continuous, but +discontinuous first derivative. This is the right thing to do if you +are subsampling by 2, since it maintains parity (even pixels positions +remain even, odd ones remain odd). +*/ + +int reflect1(filt,x_dim,y_dim,x_pos,y_pos,result,r_or_e) + register double *filt, *result; + register int x_dim; + int y_dim, x_pos, y_pos, r_or_e; + { + int filt_sz = x_dim*y_dim; + register int y_filt,x_filt, y_res, x_res; + register int x_base = (x_pos>0)?(x_dim-1):0; + register int y_base = x_dim * ((y_pos>0)?(y_dim-1):0); + int x_overhang = (x_pos>0)?(x_pos-1):((x_pos<0)?(x_pos+1):0); + int y_overhang = x_dim * ((y_pos>0)?(y_pos-1):((y_pos<0)?(y_pos+1):0)); + int i; + int mx_pos = (x_pos<0)?(x_dim/2):((x_dim-1)/2); + int my_pos = x_dim * ((y_pos<0)?(y_dim/2):((y_dim-1)/2)); + + for (i=0; i y_base-filt_sz; + y_filt-=x_dim, y_res-=x_dim) + { + for (x_res=x_base, x_filt=x_base-x_overhang; + x_filt > x_base-x_dim; + x_res--, x_filt--) + result[ABS(y_res)+ABS(x_res)] += filt[ABS(y_filt)+ABS(x_filt)]; + if ((x_overhang ISNT mx_pos) AND (x_pos ISNT 0)) + for (x_res=x_base, x_filt=x_base-2*mx_pos+x_overhang; + x_filt > x_base-x_dim; + x_res--, x_filt--) + result[ABS(y_res)+ABS(x_res)] += filt[ABS(y_filt)+ABS(x_filt)]; + } + if ((y_overhang ISNT my_pos) AND (y_pos ISNT 0)) + for (y_res=y_base, y_filt = y_base-2*my_pos+y_overhang; + y_filt > y_base-filt_sz; + y_filt-=x_dim, y_res-=x_dim) + { + for (x_res=x_base, x_filt=x_base-x_overhang; + x_filt > x_base-x_dim; + x_res--, x_filt--) + result[ABS(y_res)+ABS(x_res)] += filt[ABS(y_filt)+ABS(x_filt)]; + if ((x_overhang ISNT mx_pos) AND (x_pos ISNT 0)) + for (x_res=x_base, x_filt=x_base-2*mx_pos+x_overhang; + x_filt > x_base-x_dim; + x_res--, x_filt--) + result[ABS(y_res)+ABS(x_res)] += filt[ABS(y_filt)+ABS(x_filt)]; + } + } + + return(0); + } + +/* -------------------------------------------------------------------- +reflect2() - Reflect image at boundary. The edge pixel is repeated, +then the next pixel, etc. Continuous, but discontinuous first +derivative. +*/ + +int reflect2(filt,x_dim,y_dim,x_pos,y_pos,result,r_or_e) + register double *filt, *result; + register int x_dim; + int y_dim, x_pos, y_pos, r_or_e; + { + int filt_sz = x_dim*y_dim; + register int y_filt,x_filt, y_res, x_res; + register int x_base = (x_pos>0)?(x_dim-1):0; + register int y_base = x_dim * ((y_pos>0)?(y_dim-1):0); + int x_overhang = (x_pos>0)?(x_pos-1):((x_pos<0)?(x_pos+1):0); + int y_overhang = x_dim * ((y_pos>0)?(y_pos-1):((y_pos<0)?(y_pos+1):0)); + int i; + int mx_pos = (x_pos<0)?(x_dim/2):((x_dim-1)/2); + int my_pos = x_dim * ((y_pos<0)?(y_dim/2):((y_dim-1)/2)); + + for (i=0; i0)?x_dim:0); + y_filt0)?1:0); + x_filt y_base-filt_sz; + y_filt-=x_dim, y_res-=x_dim) + { + for (x_res=x_base, x_filt=x_base-x_overhang; + x_filt > x_base-x_dim; + x_res--, x_filt--) + result[ABS(y_res)+ABS(x_res)] += filt[ABS(y_filt)+ABS(x_filt)]; + if (x_pos ISNT 0) + for (x_res=x_base, x_filt=x_base-2*mx_pos+x_overhang-1; + x_filt > x_base-x_dim; + x_res--, x_filt--) + result[ABS(y_res)+ABS(x_res)] += filt[ABS(y_filt)+ABS(x_filt)]; + } + if (y_pos ISNT 0) + for (y_res=y_base, y_filt = y_base-2*my_pos+y_overhang-x_dim; + y_filt > y_base-filt_sz; + y_filt-=x_dim, y_res-=x_dim) + { + for (x_res=x_base, x_filt=x_base-x_overhang; + x_filt > x_base-x_dim; + x_res--, x_filt--) + result[ABS(y_res)+ABS(x_res)] += filt[ABS(y_filt)+ABS(x_filt)]; + if (x_pos ISNT 0) + for (x_res=x_base, x_filt=x_base-2*mx_pos+x_overhang-1; + x_filt > x_base-x_dim; + x_res--, x_filt--) + result[ABS(y_res)+ABS(x_res)] += filt[ABS(y_filt)+ABS(x_filt)]; + } + } + + return(0); + } + + +/* -------------------------------------------------------------------- +qreflect2() - Modified version of reflect2 that works properly for +even-length QMF filters. +*/ + +int qreflect2(filt,x_dim,y_dim,x_pos,y_pos,result,r_or_e) + double *filt, *result; + int x_dim, y_dim, x_pos, y_pos, r_or_e; + { + reflect2(filt,x_dim,y_dim,x_pos,y_pos,result,0); + return(0); + } + +/* -------------------------------------------------------------------- +repeat() - repeat edge pixel. Continuous, with discontinuous first +derivative. +*/ + +int repeat(filt,x_dim,y_dim,x_pos,y_pos,result,r_or_e) + register double *filt, *result; + register int x_dim; + int y_dim, x_pos, y_pos, r_or_e; + { + register int y_filt,x_filt, y_res,x_res, y_tmp, x_tmp; + register int x_base = (x_pos>0)?(x_dim-1):0; + register int y_base = x_dim * ((y_pos>0)?(y_dim-1):0); + int x_overhang = ((x_pos>0)?(x_pos-1):((x_pos<0)?(x_pos+1):0)); + int y_overhang = x_dim * ((y_pos>0)?(y_pos-1):((y_pos<0)?(y_pos+1):0)); + int filt_sz = x_dim*y_dim; + int mx_pos = (x_dim/2); + int my_pos = x_dim * (y_dim/2); + int i; + + for (i=0; i=0)?((y_res=0)?((x_res y_base-filt_sz; + y_filt-=x_dim, y_res-=x_dim) + if ((x_base-x_overhang) ISNT mx_pos) + for (x_res=x_base, x_filt=x_base-ABS(x_overhang); + x_filt > x_base-x_dim; + x_res--, x_filt--) + result[ABS(y_res)+ABS(x_res)] += filt[ABS(y_filt)+ABS(x_filt)]; + else /* ((x_base-x_overhang) IS mx_pos) */ + for (x_res=x_base, x_filt=x_base-ABS(x_overhang); + x_filt > x_base-x_dim; + x_filt--, x_res--) + for(x_tmp=x_filt; x_tmp > x_base-x_dim; x_tmp--) + result[ABS(y_res)+ABS(x_res)] += filt[ABS(y_filt)+ABS(x_tmp)]; + else /* ((y_base-y_overhang) IS my_pos) */ + for (y_res=y_base, y_filt=y_base-ABS(y_overhang); + y_filt > y_base-filt_sz; + y_filt-=x_dim, y_res-=x_dim) + for (y_tmp=y_filt; y_tmp > y_base-filt_sz; y_tmp-=x_dim) + if ((x_base-x_overhang) ISNT mx_pos) + for (x_res=x_base, x_filt=x_base-ABS(x_overhang); + x_filt > x_base-x_dim; + x_filt--, x_res--) + result[ABS(y_res)+ABS(x_res)] += filt[ABS(y_tmp)+ABS(x_filt)]; + else /* ((x_base-x_overhang) IS mx_pos) */ + for (x_res=x_base, x_filt=x_base-ABS(x_overhang); + x_filt > x_base-x_dim; + x_filt--, x_res--) + for (x_tmp=x_filt; x_tmp > x_base-x_dim; x_tmp--) + result[ABS(y_res)+ABS(x_res)] += filt[ABS(y_tmp)+ABS(x_tmp)]; + } /* End, if r_or_e IS EXPAND */ + + return(0); + } + +/* -------------------------------------------------------------------- +extend() - Extend image by reflecting and inverting about edge pixel +value. Maintains continuity in intensity AND first derivative (but +not higher derivs). +*/ + +int Extend(filt,x_dim,y_dim,x_pos,y_pos,result,r_or_e) + register double *filt, *result; + register int x_dim; + int y_dim, x_pos, y_pos, r_or_e; + { + int filt_sz = x_dim*y_dim; + register int y_filt,x_filt, y_res,x_res, y_tmp, x_tmp; + register int x_base = (x_pos>0)?(x_dim-1):0; + register int y_base = x_dim * ((y_pos>0)?(y_dim-1):0); + int x_overhang = (x_pos>0)?(x_pos-1):((x_pos<0)?(x_pos+1):0); + int y_overhang = x_dim * ((y_pos>0)?(y_pos-1):((y_pos<0)?(y_pos+1):0)); + int mx_pos = (x_pos<0)?(x_dim/2):((x_dim-1)/2); + int my_pos = x_dim * ((y_pos<0)?(y_dim/2):((y_dim-1)/2)); + int i; + + for (i=0; i=0) AND (y_res=0) AND (x_res=0) AND (x_res y_base-filt_sz; + y_filt-=x_dim, y_res-=x_dim) + { + for (x_res=x_base, x_filt=x_base-x_overhang; + x_filt > x_base-x_dim; + x_res--, x_filt--) + result[ABS(y_res)+ABS(x_res)] += filt[ABS(y_filt)+ABS(x_filt)]; + if (x_pos ISNT 0) + if (x_overhang ISNT mx_pos) + for (x_res=x_base, x_filt=x_base-2*mx_pos+x_overhang; + x_filt > x_base-x_dim; + x_res--, x_filt--) + result[ABS(y_res)+ABS(x_res)] -= filt[ABS(y_filt)+ABS(x_filt)]; + else /* x_overhang IS mx_pos */ + for (x_res=x_base, x_filt=x_base-2*mx_pos+x_overhang-1; + x_filt > x_base-x_dim; + x_res--, x_filt--) + for (x_tmp=x_filt; x_tmp > x_base-x_dim; x_tmp--) + result[ABS(y_res)+ABS(x_res)] += 2*filt[ABS(y_filt)+ABS(x_tmp)]; + } + if (y_pos ISNT 0) + if (y_overhang ISNT my_pos) + for (y_res=y_base, y_filt = y_base-2*my_pos+y_overhang; + y_filt > y_base-filt_sz; + y_filt-=x_dim, y_res-=x_dim) + { + for (x_res=x_base, x_filt=x_base-x_overhang; + x_filt > x_base-x_dim; + x_res--, x_filt--) + result[ABS(y_res)+ABS(x_res)] -= filt[ABS(y_filt)+ABS(x_filt)]; + if ((x_pos ISNT 0) AND (x_overhang ISNT mx_pos)) + for (x_res=x_base, x_filt=x_base-2*mx_pos+x_overhang; + x_filt > x_base-x_dim; + x_res--, x_filt--) + result[ABS(y_res)+ABS(x_res)] -= filt[ABS(y_filt)+ABS(x_filt)]; + } + else /* y_overhang IS my_pos */ + for (y_res=y_base, y_filt = y_base-2*my_pos+y_overhang-x_dim; + y_filt > y_base-filt_sz; + y_res-=x_dim, y_filt-=x_dim) + for (y_tmp=y_filt; y_tmp > y_base-filt_sz; y_tmp-=x_dim) + { + for (x_res=x_base, x_filt=x_base-x_overhang; + x_filt > x_base-x_dim; + x_res--, x_filt--) + result[ABS(y_res)+ABS(x_res)] += 2*filt[ABS(y_tmp)+ABS(x_filt)]; + if ((x_pos ISNT 0) AND (x_overhang IS mx_pos)) + for (x_res=x_base, x_filt=x_base-2*mx_pos+x_overhang-1; + x_filt > x_base-x_dim; + x_res--, x_filt--) + for (x_tmp=x_filt; x_tmp > x_base-x_dim; x_tmp--) + result[ABS(y_res)+ABS(x_res)] += 2*filt[ABS(y_tmp)+ABS(x_tmp)]; + } + } /* r_or_e ISNT REDUCE */ + + return(0); + } + +/* -------------------------------------------------------------------- +predict() - Simple prediction. Like zero, but multiplies the result +by the reciprocal of the percentage of filter being used. (i.e. if +50% of the filter is hanging over the edge of the image, multiply the +taps being used by 2). */ + +int predict(filt,x_dim,y_dim,x_pos,y_pos,result,r_or_e) + register double *filt, *result; + register int x_dim; + int y_dim, x_pos, y_pos, r_or_e; + { + register int y_filt,x_filt, y_res,x_res; + register double taps_used = 0.0; /* int *** */ + register double fraction = 0.0; + int filt_sz = x_dim*y_dim; + int x_start = ((x_pos>0)?(x_pos-1):((x_pos<0)?(x_pos+1):0)); + int y_start = x_dim * ((y_pos>0)?(y_pos-1):((y_pos<0)?(y_pos+1):0)); + int i; + + for (i=0; i= 0) AND (y_res < filt_sz)) + for (x_filt=y_filt, x_res=x_start; + x_filt= 0) AND (x_res < x_dim)) + { + result[y_res+x_res] = filt[x_filt]; + taps_used += ABS(filt[x_filt]); + } + + if (r_or_e IS REDUCE) + { + /* fraction = ( (double) filt_sz ) / ( (double) taps_used ); */ + for (i=0; i0)?(x_dim-1):0; + register int y_base = x_dim * ((y_pos>0)?(y_dim-1):0); + int filt_sz = x_dim*y_dim; + int x_overhang = (x_pos>1)?(x_pos-x_dim):((x_pos<-1)?(x_pos+1):0); + int y_overhang = x_dim * ( (y_pos>1)?(y_pos-y_dim):((y_pos<-1)?(y_pos+1):0) ); + int i; + double norm,onorm; + + for (i=0; i>> See histo.m for documentation <<< + EPS, ported from OBVIUS, 3/97. +*/ + +#define V4_COMPAT +#include /* Matlab matrices */ +#include + +#include /* NULL */ +#include /* ceil */ + +#define notDblMtx(it) (!mxIsNumeric(it) || !mxIsDouble(it) || mxIsSparse(it) || mxIsComplex(it)) + +#define PAD 0.49999 /* A hair below 1/2, to avoid roundoff errors */ +#define MAXBINS 20000 + +void mexFunction(int nlhs, /* Num return vals on lhs */ + mxArray *plhs[], /* Matrices on lhs */ + int nrhs, /* Num args on rhs */ + const mxArray *prhs[] /* Matrices on rhs */ + ) + { + register double temp; + register int binnum, i, size; + register double *im, binsize; + register double origin, *hist, mn, mx, mean; + register int nbins; + double *bincenters; + const mxArray *arg0,*arg1,*arg2; + double *mxMat; + + if (nrhs < 1 ) mexErrMsgTxt("requires at least 1 argument."); + + /* ARG 1: MATRIX */ + arg0 = prhs[0]; + if notDblMtx(arg0) mexErrMsgTxt("MTX arg must be a real non-sparse matrix."); + im = mxGetPr(arg0); + size = (int) mxGetM(arg0) * mxGetN(arg0); + + /* FIND min, max, mean values of MTX */ + mn = *im; mx = *im; binsize = 0; + for (i=1; i mx) + mx = temp; + binsize += temp; + } + mean = binsize / size; + + /* ARG 3: BIN_CENTER */ + if (nrhs > 2) + { + arg2 = prhs[2]; + if notDblMtx(arg2) mexErrMsgTxt("BIN_CENTER arg must be a real scalar."); + if (mxGetM(arg2) * mxGetN(arg2) != 1) + mexErrMsgTxt("BIN_CENTER must be a real scalar."); + mxMat= mxGetPr(arg2); + origin = *mxMat; + } + else + origin = mean; + + /* ARG 2: If positive, NBINS. If negative, -BINSIZE. */ + if (nrhs > 1) + { + arg1 = prhs[1]; + if notDblMtx(arg1) mexErrMsgTxt("NBINS_OR_BINSIZE arg must be a real scalar."); + if (mxGetM(arg1) * mxGetN(arg1) != 1) + mexErrMsgTxt("NBINS_OR_BINSIZE must be a real scalar."); + mxMat= mxGetPr(arg1); + binsize = *mxMat; + } + else + { + binsize = 101; /* DEFAULT: 101 bins */ + } + + /* -------------------------------------------------- + Adjust origin, binsize, nbins such that + mx <= origin + (nbins-1)*binsize + PAD*binsize + mn >= origin - PAD*binsize + -------------------------------------------------- */ + if (binsize < 0) /* user specified BINSIZE */ + { + binsize = -binsize; + origin -= binsize * ceil((origin-mn-PAD*binsize)/binsize); + nbins = (int) ceil((mx-origin-PAD*binsize)/binsize) + 1; + } + else /* user specified NBINS */ + { + nbins = (int) (binsize + 0.5); /* round to int */ + if (nbins == 0) + mexErrMsgTxt("NBINS must be greater than zero."); + binsize = (mx-mn)/(nbins-1+2*PAD); /* start with lower bound */ + i = ceil((origin-mn-binsize/2)/binsize); + if ( mn < (origin-i*binsize-PAD*binsize) ) + binsize = (origin-mn)/(i+PAD); + else if ( mx > (origin+(nbins-1-i)*binsize+PAD*binsize) ) + binsize = (mx-origin)/((nbins-1-i)+PAD); + origin -= binsize * ceil((origin-mn-PAD*binsize)/binsize); + } + + if (nbins > MAXBINS) + { + mexPrintf("nbins: %d, MAXBINS: %d\n",nbins,MAXBINS); + mexErrMsgTxt("Number of histo bins has exceeded maximum"); + } + + /* Allocate hist and xvals */ + plhs[0] = (mxArray *) mxCreateDoubleMatrix(1,nbins,mxREAL); + if (plhs[0] == NULL) mexErrMsgTxt("Error allocating result matrix"); + hist = mxGetPr(plhs[0]); + + if (nlhs > 1) + { + plhs[1] = (mxArray *) mxCreateDoubleMatrix(1,nbins,mxREAL); + if (plhs[1] == NULL) mexErrMsgTxt("Error allocating result matrix"); + bincenters = mxGetPr(plhs[1]); + for (i=0, temp=origin; i= 0)) + (hist[binnum]) += 1.0; + else + printf("HISTO warning: value %f outside of range [%f,%f]\n", + im[i], origin-0.5*binsize, origin+(nbins-0.5)*binsize); + } + + return; + } + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/histo.mexa64 b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/histo.mexa64 new file mode 100644 index 0000000..ac65ceb Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/histo.mexa64 differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/histo.mexglx b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/histo.mexglx new file mode 100644 index 0000000..4d67bfe Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/histo.mexglx differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/histo.mexmac b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/histo.mexmac new file mode 100644 index 0000000..9c9d47a Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/histo.mexmac differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/histo.mexmaci b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/histo.mexmaci new file mode 100644 index 0000000..9792435 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/histo.mexmaci differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/histo.mexw32 b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/histo.mexw32 new file mode 100644 index 0000000..03663ef Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/histo.mexw32 differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/innerProd.c b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/innerProd.c new file mode 100644 index 0000000..8fa1224 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/innerProd.c @@ -0,0 +1,52 @@ +/* +RES = innerProd(MAT); + Computes mat'*mat + Odelia Schwartz, 8/97. +*/ + +#define V4_COMPAT +#include + +#include +#include +#include +#include +#include + +void mexFunction(int nlhs, /* Num return vals on lhs */ + mxArray *plhs[], /* Matrices on lhs */ + int nrhs, /* Num args on rhs */ + const mxArray *prhs[] /* Matrices on rhs */ + ) +{ + register double *res, *mat, tmp; + register int len, wid, i, k, j, jlen, ilen, imat, jmat; + mxArray *arg; + + /* get matrix input argument */ + /* should be matrix in which num rows >= num columns */ + arg=prhs[0]; + mat= mxGetPr(arg); + len = (int) mxGetM(arg); + wid = (int) mxGetN(arg); + if ( wid > len ) + printf("innerProd: Warning: width %d is greater than length %d.\n",wid,len); + plhs[0] = (mxArray *) mxCreateDoubleMatrix(wid,wid,mxREAL); + if (plhs[0] == NULL) + mexErrMsgTxt(sprintf("Error allocating %dx%d result matrix",wid,wid)); + res = mxGetPr(plhs[0]); + + for(i=0, ilen=0; i>> See pointOp.m for documentation <<< + EPS, ported from OBVIUS, 7/96. +*/ + +#define V4_COMPAT +#include /* Matlab matrices */ +#include + +#include /* NULL */ + +#define notDblMtx(it) (!mxIsNumeric(it) || !mxIsDouble(it) || mxIsSparse(it) || mxIsComplex(it)) + +void internal_pointop(); + +void mexFunction(int nlhs, /* Num return vals on lhs */ + mxArray *plhs[], /* Matrices on lhs */ + int nrhs, /* Num args on rhs */ + const mxArray *prhs[] /* Matrices on rhs */ + ) + { + double *image, *lut, *res; + double origin, increment; + int x_dim, y_dim, lx_dim, ly_dim; + int warnings = 1; + const mxArray *arg0,*arg1,*arg2,*arg3,*arg4; + double *mxMat; + + if (nrhs < 4 ) mexErrMsgTxt("requres at least 4 args."); + + /* ARG 1: IMAGE */ + arg0 = prhs[0]; + if notDblMtx(arg0) mexErrMsgTxt("IMAGE arg must be a real non-sparse matrix."); + image = mxGetPr(arg0); + x_dim = (int) mxGetM(arg0); /* X is inner index! */ + y_dim = (int) mxGetN(arg0); + + /* ARG 2: Lookup table */ + arg1 = prhs[1]; + if notDblMtx(arg1) mexErrMsgTxt("LUT arg must be a real non-sparse matrix."); + lut = mxGetPr(arg1); + lx_dim = (int) mxGetM(arg1); /* X is inner index! */ + ly_dim = (int) mxGetN(arg1); + if ( (lx_dim != 1) && (ly_dim != 1) ) + mexErrMsgTxt("Lookup table must be a row or column vector."); + + /* ARG 3: ORIGIN */ + arg2 = prhs[2]; + if notDblMtx(arg2) mexErrMsgTxt("ORIGIN arg must be a real scalar."); + if (mxGetM(arg2) * mxGetN(arg2) != 1) + mexErrMsgTxt("ORIGIN arg must be a real scalar."); + mxMat = mxGetPr(arg2); + origin = *mxMat; + + /* ARG 4: INCREMENT */ + arg3 = prhs[3]; + if notDblMtx(arg3) mexErrMsgTxt("INCREMENT arg must be a real scalar."); + if (mxGetM(arg3) * mxGetN(arg3) != 1) + mexErrMsgTxt("INCREMENT arg must be a real scalar."); + mxMat = mxGetPr(arg3); + increment = *mxMat; + + /* ARG 5: WARNINGS */ + if (nrhs>4) + { + arg4 = prhs[4]; + if notDblMtx(arg4) mexErrMsgTxt("WARINGS arg must be a real scalar."); + if (mxGetM(arg4) * mxGetN(arg4) != 1) + mexErrMsgTxt("WARNINGS arg must be a real scalar."); + mxMat = mxGetPr(arg4); + warnings = (int) *mxMat; + } + + plhs[0] = (mxArray *) mxCreateDoubleMatrix(x_dim,y_dim,mxREAL); + if (plhs[0] == NULL) mexErrMsgTxt("Cannot allocate result matrix"); + res = mxGetPr(plhs[0]); + + internal_pointop(image, res, x_dim*y_dim, lut, lx_dim*ly_dim, + origin, increment, warnings); + return; + } + + +/* Use linear interpolation on a lookup table. + Taken from OBVIUS. EPS, Spring, 1987. + */ +void internal_pointop (im, res, size, lut, lutsize, origin, increment, warnings) + register double *im, *res, *lut; + register double origin, increment; + register int size, lutsize, warnings; + { + register int i, index; + register double pos; + register int l_unwarned = warnings; + register int r_unwarned = warnings; + + lutsize = lutsize - 2; /* Maximum index value */ + if (increment > 0) + for (i=0; i lutsize) + { + index = lutsize; + if (r_unwarned) + { + mexPrintf("Warning: Extrapolating to right of lookup table...\n"); + r_unwarned = 0; + } + } + res[i] = lut[index] + (lut[index+1] - lut[index]) * (pos - index); + } + else + for (i=0; i>> See range2.m for documentation <<< + EPS, 3/97. +*/ + +#define V4_COMPAT +#include /* Matlab matrices */ +#include + +#include /* NULL */ + +#define notDblMtx(it) (!mxIsNumeric(it) || !mxIsDouble(it) || mxIsSparse(it) || mxIsComplex(it)) + +void mexFunction(int nlhs, /* Num return vals on lhs */ + mxArray *plhs[], /* Matrices on lhs */ + int nrhs, /* Num args on rhs */ + const mxArray *prhs[] /* Matrices on rhs */ + ) + { + register double temp, mn, mx; + register double *mtx; + register int i, size; + const mxArray *arg; + + if (nrhs != 1) mexErrMsgTxt("requires 1 argument."); + + /* ARG 1: MATRIX */ + arg = prhs[0]; + if notDblMtx(arg) mexErrMsgTxt("MTX arg must be a real non-sparse matrix."); + mtx = mxGetPr(arg); + size = (int) mxGetM(arg) * mxGetN(arg); + + /* FIND min, max values of MTX */ + mn = *mtx; mx = *mtx; + for (i=1; i mx) + mx = temp; + } + + plhs[0] = (mxArray *) mxCreateDoubleMatrix(1,1,mxREAL); + if (plhs[0] == NULL) mexErrMsgTxt("Error allocating result matrix"); + plhs[1] = (mxArray *) mxCreateDoubleMatrix(1,1,mxREAL); + if (plhs[1] == NULL) mexErrMsgTxt("Error allocating result matrix"); + mtx = mxGetPr(plhs[0]); + mtx[0] = mn; + mtx = mxGetPr(plhs[1]); + mtx[0] = mx; + + return; + } + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/range2.mexa64 b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/range2.mexa64 new file mode 100644 index 0000000..a6d7c19 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/range2.mexa64 differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/range2.mexglx b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/range2.mexglx new file mode 100644 index 0000000..7053170 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/range2.mexglx differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/range2.mexmac b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/range2.mexmac new file mode 100644 index 0000000..8f32249 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/range2.mexmac differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/range2.mexmaci b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/range2.mexmaci new file mode 100644 index 0000000..711d7f8 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/range2.mexmaci differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/range2.mexw32 b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/range2.mexw32 new file mode 100644 index 0000000..513b195 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/range2.mexw32 differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/upConv.c b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/upConv.c new file mode 100644 index 0000000..98a2bec --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/upConv.c @@ -0,0 +1,195 @@ +/* +RES = upConv(IM, FILT, EDGES, STEP, START, STOP, RES); + >>> See upConv.m for documentation <<< + This is a matlab interface to the internal_expand function. + EPS, 7/96. +*/ + +#define V4_COMPAT +#include /* Matlab matrices */ +#include + +#include "convolve.h" + +#define notDblMtx(it) (!mxIsNumeric(it) || !mxIsDouble(it) || mxIsSparse(it) || mxIsComplex(it)) + +void mexFunction(int nlhs, /* Num return vals on lhs */ + mxArray *plhs[], /* Matrices on lhs */ + int nrhs, /* Num args on rhs */ + const mxArray *prhs[] /* Matrices on rhs */ + ) + { + double *image,*filt, *temp, *result, *orig_filt; + int x_fdim, y_fdim, x_idim, y_idim; + int orig_x = 0, orig_y, x, y; + int x_rdim, y_rdim; + int x_start = 1; + int x_step = 1; + int y_start = 1; + int y_step = 1; + int x_stop, y_stop; + const mxArray *arg0,*arg1,*arg3,*arg4,*arg6; + double *mxMat; + char edges[15] = "reflect1"; + + if (nrhs<2) mexErrMsgTxt("requres at least 2 args."); + + /* ARG 1: IMAGE */ + arg0 = prhs[0]; + if notDblMtx(arg0) mexErrMsgTxt("IMAGE arg must be a non-sparse double float matrix."); + image = mxGetPr(arg0); + x_idim = (int) mxGetM(arg0); /* X is inner index! */ + y_idim = (int) mxGetN(arg0); + + /* ARG 2: FILTER */ + arg1 = prhs[1]; + if notDblMtx(arg1) mexErrMsgTxt("FILTER arg must be non-sparse double float matrix."); filt = mxGetPr(arg1); + x_fdim = (int) mxGetM(arg1); + y_fdim = (int) mxGetN(arg1); + + /* ARG 3 (optional): EDGES */ + if (nrhs>2) + { + if (!mxIsChar(prhs[2])) + mexErrMsgTxt("EDGES arg must be a string."); + mxGetString(prhs[2],edges,15); + } + + /* ARG 4 (optional): STEP */ + if (nrhs>3) + { + arg3 = prhs[3]; + if notDblMtx(arg3) mexErrMsgTxt("STEP arg must be double float matrix."); + if (mxGetM(arg3) * mxGetN(arg3) != 2) + mexErrMsgTxt("STEP arg must contain two elements."); + mxMat = mxGetPr(arg3); + x_step = (int) mxMat[0]; + y_step = (int) mxMat[1]; + if ((x_step<1) || (y_step<1)) + mexErrMsgTxt("STEP values must be greater than zero."); + } + + /* ARG 5 (optional): START */ + if (nrhs>4) + { + arg4 = prhs[4]; + if notDblMtx(arg4) mexErrMsgTxt("START arg must be double float matrix."); + if (mxGetM(arg4) * mxGetN(arg4) != 2) + mexErrMsgTxt("START arg must contain two elements."); + mxMat = mxGetPr(arg4); + x_start = (int) mxMat[0]; + y_start = (int) mxMat[1]; + if ((x_start<1) || (y_start<1)) + mexErrMsgTxt("START values must be greater than zero."); + } + x_start--; /* convert to standard C indexes */ + y_start--; + + /* ARG 6 (optional): STOP */ + if (nrhs>5) + { + if notDblMtx(prhs[5]) mexErrMsgTxt("STOP arg must be double float matrix."); + if (mxGetM(prhs[5]) * mxGetN(prhs[5]) != 2) + mexErrMsgTxt("STOP arg must contain two elements."); + mxMat = mxGetPr(prhs[5]); + x_stop = (int) mxMat[0]; + y_stop = (int) mxMat[1]; + if ((x_stop6) + { + arg6 = prhs[6]; + if notDblMtx(arg6) mexErrMsgTxt("RES arg must be double float matrix."); + + /* 7/10/97: Returning one of the args causes problems with Matlab's memory + manager, so we don't return anything if the result image is passed */ + /* plhs[0] = arg; */ + result = mxGetPr(arg6); + x_rdim = (int) mxGetM(arg6); /* X is inner index! */ + y_rdim = (int) mxGetN(arg6); + if ((x_stop>x_rdim) || (y_stop>y_rdim)) + mexErrMsgTxt("STOP values must within image dimensions."); + } + else + { + x_rdim = x_stop; + y_rdim = y_stop; + /* x_rdim = x_step * ((x_stop+x_step-1)/x_step); + y_rdim = y_step * ((y_stop+y_step-1)/y_step); */ + + plhs[0] = (mxArray *) mxCreateDoubleMatrix(x_rdim,y_rdim,mxREAL); + if (plhs[0] == NULL) mexErrMsgTxt("Cannot allocate result matrix"); + result = mxGetPr(plhs[0]); + } + + if ( (((x_stop-x_start+x_step-1) / x_step) != x_idim) || + (((y_stop-y_start+y_step-1) / y_step) != y_idim) ) + { + mexPrintf("Im dims: [%d %d]\n",x_idim,y_idim); + mexPrintf("Start: [%d %d]\n",x_start,y_start); + mexPrintf("Step: [%d %d]\n",x_step,y_step); + mexPrintf("Stop: [%d %d]\n",x_stop,y_stop); + mexPrintf("Res dims: [%d %d]\n",x_rdim,y_rdim); + mexErrMsgTxt("Image sizes and upsampling args are incompatible!"); + } + + /* upConv has a bug for even-length kernels when using the + reflect1, extend, or repeat edge-handlers */ + if ((!strcmp(edges,"reflect1") || !strcmp(edges,"extend") || !strcmp(edges,"repeat")) + && + ((x_fdim%2 == 0) || (y_fdim%2 == 0))) + { + orig_filt = filt; + orig_x = x_fdim; + orig_y = y_fdim; + x_fdim = 2*(orig_x/2)+1; + y_fdim = 2*(orig_y/2)+1; + filt = mxCalloc(x_fdim*y_fdim, sizeof(double)); + if (filt == NULL) + mexErrMsgTxt("Cannot allocate necessary temporary space"); + for (y=0; y x_rdim) || (y_fdim > y_rdim)) + { + mexPrintf("Filter: [%d %d], ",x_fdim,y_fdim); + mexPrintf("Result: [%d %d]\n",x_rdim,y_rdim); + mexErrMsgTxt("FILTER dimensions larger than RESULT dimensions."); + } + + temp = mxCalloc(x_fdim*y_fdim, sizeof(double)); + if (temp == NULL) + mexErrMsgTxt("Cannot allocate necessary temporary space"); + + /* + printf("(%d, %d), (%d, %d), (%d, %d), (%d, %d), (%d, %d), %s\n", + x_idim,y_idim,x_fdim,y_fdim,x_rdim,y_rdim, + x_start,x_step,y_start,y_step,edges); + */ + + if (strcmp(edges,"circular") == 0) + internal_wrap_expand(image, filt, x_fdim, y_fdim, + x_start, x_step, x_stop, y_start, y_step, y_stop, + result, x_rdim, y_rdim); + else internal_expand(image, filt, temp, x_fdim, y_fdim, + x_start, x_step, x_stop, y_start, y_step, y_stop, + result, x_rdim, y_rdim, edges); + + if (orig_x) mxFree((char *) filt); + mxFree((char *) temp); + + return; + } + + + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/upConv.mexa64 b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/upConv.mexa64 new file mode 100644 index 0000000..e38c594 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/upConv.mexa64 differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/upConv.mexglx b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/upConv.mexglx new file mode 100644 index 0000000..3b12479 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/upConv.mexglx differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/upConv.mexmac b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/upConv.mexmac new file mode 100644 index 0000000..98e7560 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/upConv.mexmac differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/upConv.mexmaci b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/upConv.mexmaci new file mode 100644 index 0000000..9781561 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/upConv.mexmaci differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/upConv.mexw32 b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/upConv.mexw32 new file mode 100644 index 0000000..36d5011 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/upConv.mexw32 differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/MEX/wrap.c b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/wrap.c new file mode 100644 index 0000000..a081123 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/MEX/wrap.c @@ -0,0 +1,281 @@ +/* +;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; +;;; File: wrap.c +;;; Author: Eero Simoncelli +;;; Description: Circular convolution on 2D images. +;;; Creation Date: Spring, 1987. +;;; MODIFICATIONS: +;;; 6/96: Switched array types to double float. +;;; 2/97: made more robust and readable. Added STOP arguments. +;;; ---------------------------------------------------------------- +;;; Object-Based Vision and Image Understanding System (OBVIUS), +;;; Copyright 1988, Vision Science Group, Media Laboratory, +;;; Massachusetts Institute of Technology. +;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; +*/ + +#include + +#include "convolve.h" + +/* + -------------------------------------------------------------------- + Performs correlation (i.e., convolution with filt(-x,-y)) of FILT + with IMAGE followed by subsampling (a.k.a. REDUCE in Burt&Adelson81). + The operations are combined to avoid unnecessary computation of the + convolution samples that are to be discarded in the subsampling + operation. The convolution is done in 9 sections so that mod + operations are not performed unnecessarily. The subsampling lattice + is specified by the START, STEP and STOP parameters. + -------------------------------------------------------------------- */ + +/* abstract out the inner product computation */ +#define INPROD(YSTART,YIND,XSTART,XIND) \ + { \ + sum=0.0; \ + for (y_im=YSTART, filt_pos=0, x_filt_stop=x_fdim; \ + x_filt_stop<=filt_size; \ + y_im++, x_filt_stop+=x_fdim) \ + for (x_im=XSTART ; \ + filt_pos); + help matlabPyrTools + +A few functions are actually MEX interfaces to C code. These are +contained in the subdirectory called MEX. The MEX files have been +tested on Sun (Solaris), LinuX (on an Intel platform), and Macintosh +OSX (on PowerPC and Intel), but should not be difficult to compile on +most other platforms. Source code is included in the MEX directory, +as well as Make files. Pre-compiled versions are included for a +number of platforms. To compile on your platform, simply run +compilePyrTools.m which is located in the MEX subdirectory. + +To make sure these are in your matlab path, you can do *one* of the +following: + 1) Create a symbolic link (or macintosh "alias") for the relavent files + in the main matlabPyrTools directory, or + 2) Copy the relavent files into the main matlabPyrTools directory, or + 3) Put the MEX subdirectory in your matlab path: addpath('matlabPyrTools/MEX'); + +Some example script files showing usage of the code are in the +directory /TUTORIALS. There is a README file in that directory +describing the contents. + +Incremental changes/updates to the code are documented in the ChangeLog file. + +Comments/Suggestions/Bugs to: + Eero P. Simoncelli + Center for Neural Science, and + Courant Institute for Mathematical Sciences + New York University + eero.simoncelli@nyu.edu + http://www.cns.nyu.edu/~eero/ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/.AppleDouble/.Parent b/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/.AppleDouble/.Parent new file mode 100644 index 0000000..e1faeec Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/.AppleDouble/.Parent differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/.FBCIndex b/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/.FBCIndex new file mode 100644 index 0000000..23b62bc Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/.FBCIndex differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/.FBCLockFolder/.FBCSemaphoreFile 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new file mode 100644 index 0000000..334dd63 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/HTML/pyramids_75.png differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/README b/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/README new file mode 100644 index 0000000..b8eb3ea --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/README @@ -0,0 +1,24 @@ + +This directory contains some Matlab script files that serve to give +example usage of this code, and also to explain some of the +representations and algorithms. + +The files are NOT meant to be executed from the MatLab prompt (like many +of the MatLab demos). You should instead read through the comments, +executing the subsequent pieces of code. This gives you a chance to +explore as you go... + +matlabPyrTools.m - Example usage of the code in the distribution. + +pyramids.m - An introduction to multi-scale pyramid representations, + covering Laplacian, QMF/Wavelet, and Steerable pyramids. The + file assumes a knowledge of linear systems, matrix algebra, + and 2D Fourier transforms. + +matlabPyrTools.html - Same as matlabPyrTools.m, but formatted in html that + shows sample output. + +pyramids.html - Same as pyramids.m, but formatted in html that shows sample + output. + +more to come.... diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/matlabPyrTools.html b/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/matlabPyrTools.html new file mode 100644 index 0000000..0d4c85c --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/matlabPyrTools.html @@ -0,0 +1,560 @@ + + + + + + + + matlabPyrTools + + + + + + +
+

Some examples using the tools in this distribution.

+

Contents

+ +

Load an image, and downsample to a size appropriate for the machine speed.

+
oim = pgmRead('einstein.pgm');
+tic; corrDn(oim,[1 1; 1 1]/4,'reflect1',[2 2]); time = toc;
+imSubSample = min(max(floor(log2(time)/2+3),0),2);
+im = blurDn(oim, imSubSample,'qmf9');
+clear oim;
+
ShowIm: + 3 types of automatic graylevel scaling, 2 types of automatic + sizing, with or without title and Range information. +
help showIm
+
  RANGE = showIm (MATRIX, RANGE, ZOOM, LABEL, NSHADES )
+  
+  Display a MatLab MATRIX as a grayscale image in the current figure,
+  inside the current axes.  If MATRIX is complex, the real and imaginary 
+  parts are shown side-by-side, with the same grayscale mapping.
+  
+  If MATRIX is a string, it should be the name of a variable bound to a 
+  MATRIX in the base (global) environment.  This matrix is displayed as an 
+  image, with the title set to the string.
+  
+  RANGE (optional) is a 2-vector specifying the values that map to
+  black and white, respectively.  Passing a value of 'auto' (default)
+  sets RANGE=[min,max] (as in MatLab's imagesc).  'auto2' sets
+  RANGE=[mean-2*stdev, mean+2*stdev].  'auto3' sets
+  RANGE=[p1-(p2-p1)/8, p2+(p2-p1)/8], where p1 is the 10th percentile
+  value of the sorted MATRIX samples, and p2 is the 90th percentile
+  value.
+  
+  ZOOM specifies the number of matrix samples per screen pixel.  It
+  will be rounded to an integer, or 1 divided by an integer.  A value
+  of 'same' or 'auto' (default) causes the zoom value to be chosen
+  automatically to fit the image into the current axes.  A value of
+  'full' fills the axis region (leaving no room for labels).  See
+  pixelAxes.m.
+  
+  If LABEL (optional, default = 1, unless zoom='full') is non-zero, the range 
+  of values that are mapped into the gray colormap and the dimensions 
+  (size) of the matrix and zoom factor are printed below the image.  If label 
+  is a string, it is used as a title.
+  
+  NSHADES (optional) specifies the number of gray shades, and defaults
+  to the size of the current colormap.
+
+
+
+clf; showIm(im,'auto1','auto','Al')
+ +
+ans =
+
+     0   237
+
+
+
+clf; showIm('im','auto2')
+ +
+ans =
+
+   33.5299  181.9745
+
+
+
+clf; showIm(im,'auto3',2)
+
+

+

+ans =
+
+   34.5314  161.4488
+
+
+Statistics:
mean2(im)
+var2(im)
+skew2(im)
+kurt2(im)
+entropy2(im)
+imStats(im)
+
+
+ans =
+
+  107.7522
+
+
+ans =
+
+   1.3772e+03
+
+
+ans =
+
+   -0.3853
+
+
+ans =
+
+    3.4430
+
+
+ans =
+
+    6.8841
+
+Image statistics:
+  Range: [0.000000, 237.000000]
+  Mean: 107.752213,  Stdev: 37.111143,  Kurtosis: 3.442999
+
+

Synthetic images. First pick some parameters:

+
+sz = 200;
+dir = 2*pi*rand(1)
+slope = 10*rand(1)-5
+int = 10*rand(1)-5;
+orig = round(1+(sz-1)*rand(2,1));
+expt = 0.8+rand(1)
+ampl = 1+5*rand(1)
+ph = 2*pi*rand(1)
+per = 20
+twidth = 7
+
+
+dir =
+
+    5.0015
+
+
+slope =
+
+   -4.3516
+
+
+expt =
+
+    1.1006
+
+
+ampl =
+
+    5.2370
+
+
+ph =
+
+    2.5244
+
+
+per =
+
+    20
+
+
+twidth =
+
+     7
+
+
+clf;
+showIm(mkRamp(sz,dir,slope,int,orig));
+
+ +
+showIm(mkImpulse(sz,orig,ampl));
+
+ +
+showIm(mkR(sz,expt,orig));
+
+ +
+showIm(mkAngle(sz,dir));
+
+ +
+showIm(mkDisc(sz,sz/4,orig,twidth));
+
+ +
+showIm(mkGaussian(sz,(sz/6)^2,orig,ampl));
+
+ +
+showIm(mkZonePlate(sz,ampl,ph));
+
+ +
+showIm(mkAngularSine(sz,3,ampl,ph,orig));
+
+ +
+showIm(mkSine(sz,per,dir,ampl,ph,orig));
+
+ +
+showIm(mkSquare(sz,per,dir,ampl,ph,orig,twidth));
+
+ +
+showIm(mkFract(sz,expt));
+
+ +

Point operations (lookup tables):

[Xtbl,Ytbl] = rcosFn(20, 25, [-1 1]);
+plot(Xtbl,Ytbl);
+showIm(pointOp(mkR(100,1,[70,30]), Ytbl, Xtbl(1), Xtbl(2)-Xtbl(1), 0));
+
+ + +

histogram Modification/matching:

[N,X] = histo(im, 150);
+[mn, mx] = range2(im);
+matched = histoMatch(rand(size(im)), N, X);
+showIm(im + sqrt(-1)*matched);
+[Nm,Xm] = histo(matched,150);
+nextFig(2,1);
+  subplot(1,2,1); plot(X,N); axis([mn mx 0 max(N)]);
+  subplot(1,2,2);  plot(Xm,Nm); axis([mn mx 0 max(N)]);
+nextFig(2,-1);
+
+
+ +

Convolution routines:

+

Compare speed of convolution/downsampling routines:

noise = rand(400); filt = rand(10);
+tic; res1 = corrDn(noise,filt(10:-1:1,10:-1:1),'reflect1',[2 2]); toc;
+tic; ires = rconv2(noise,filt); res2 = ires(1:2:400,1:2:400); toc;
+imStats(res1,res2)
+
Elapsed time is 0.047516 seconds.
+Elapsed time is 0.445268 seconds.
+Difference statistics:
+  Range: [-2.486900e-14, 2.842171e-14]
+  Mean: 0.000000,  Stdev (rmse): 0.000000,  SNR (dB): 302.015673
+

Display image and extension of left and top boundaries:

fsz = [9 9];
+fmid = ceil((fsz+1)/2);
+imsz = [16 16];
+
+% pick one:
+im = eye(imsz);
+im = mkRamp(imsz,pi/6);
+im = mkSquare(imsz,6,pi/6);
+
+% pick one:
+edges='reflect1';
+edges='reflect2';
+edges='repeat';
+edges='extend';
+edges='zero';
+edges='circular';
+edges='dont-compute';
+
+filt = mkImpulse(fsz,[1 1]);
+showIm(corrDn(im,filt,edges));
+line([0,0,imsz(2),imsz(2),0]+fmid(2)-0.5, ...
+     [0,imsz(1),imsz(1),0,0]+fmid(1)-0.5);
+title(sprintf('Edges = %s',edges));
+

Multi-scale pyramids (see pyramids.m for more examples, and explanations):

+

A Laplacian pyramid:

+
[pyr,pind] = buildLpyr(im);
+showLpyr(pyr,pind);
+
+ +
+res = reconLpyr(pyr, pind); 		% full reconstruction
+imStats(im,res);			% essentially perfect
+
+
Difference statistics:
+  Range: [-1.110223e-16, 1.110223e-16]
+  Mean: 0.000000,  Stdev (rmse): 0.000000,  SNR (dB): 328.192949
+
+
+res = reconLpyr(pyr, pind, [2 3]);  %reconstruct 2nd and 3rd levels only
+showIm(res);
+
+ +

Wavelet/QMF pyramids:

+
filt = 'qmf9'; edges = 'reflect1';
+filt = 'haar'; edges = 'qreflect2';
+filt = 'qmf12'; edges = 'qreflect2';
+filt = 'daub3'; edges = 'circular';
+
+%[pyr,pind] = buildWpyr(im, 5-imSubSample, filt, edges);
+[pyr,pind] = buildWpyr(im, 'auto', filt, edges);
+showWpyr(pyr,pind,'auto2');
+
+ +
+res = reconWpyr(pyr, pind, filt, edges);
+clf;
+showIm(im + i*res);
+imStats(im,res);
+
+
Difference statistics:
+  Range: [-1.419542e-11, 1.515488e-11]
+  Mean: 0.000000,  Stdev (rmse): 0.000000,  SNR (dB): 225.129905
+
+ +
+res = reconWpyr(pyr, pind, filt, edges, 'all', [2]);  %vertical only
+clf;
+showIm(res);
+
+ +

Steerable pyramid:

%[pyr,pind] = buildSpyr(im,4-imSubSample,'sp3Filters');
+[pyr,pind] = buildSpyr(im,'auto','sp3Filters');
+showSpyr(pyr,pind);
+

Steerable pyramid, constructed in frequency domain:

%[pyr,pind] = buildSFpyr(im,5-imSubSample,4);  %5 orientation bands
+[pyr,pind] = buildSFpyr(im);  %5 orientation bands
+showSpyr(pyr,pind);
+res = reconSFpyr(pyr,pind);
+imStats(im,res);
+
Difference statistics:
+  Range: [-1.176482e-05, 1.176482e-05]
+  Mean: -0.000000,  Stdev (rmse): 0.000006,  SNR (dB): 102.665681
+


+ Published with MATLAB® 7.7

+
+ + + \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/matlabPyrTools.m b/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/matlabPyrTools.m new file mode 100644 index 0000000..cbdd881 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/matlabPyrTools.m @@ -0,0 +1,147 @@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%% Some examples using the tools in this distribution. +%%% Eero Simoncelli, 2/97. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%% Load an image, and downsample to a size appropriate for the machine speed. +oim = pgmRead('einstein.pgm'); +tic; corrDn(oim,[1 1; 1 1]/4,'reflect1',[2 2]); time = toc; +imSubSample = min(max(floor(log2(time)/2+3),0),2); +im = blurDn(oim, imSubSample,'qmf9'); +clear oim; + +%%% ShowIm: +%% 3 types of automatic graylevel scaling, 2 types of automatic +%% sizing, with or without title and Range information. +help showIm +clf; showIm(im,'auto1','auto','Al') +clf; showIm('im','auto2') +clf; showIm(im,'auto3',2) + +%%% Statistics: +mean2(im) +var2(im) +skew2(im) +kurt2(im) +entropy2(im) +imStats(im) + +%%% Synthetic images. First pick some parameters: +sz = 200; +dir = 2*pi*rand(1) +slope = 10*rand(1)-5 +int = 10*rand(1)-5; +orig = round(1+(sz-1)*rand(2,1)); +expt = 0.8+rand(1) +ampl = 1+5*rand(1) +ph = 2*pi*rand(1) +per = 20 +twidth = 7 + +clf; +showIm(mkRamp(sz,dir,slope,int,orig)); +showIm(mkImpulse(sz,orig,ampl)); +showIm(mkR(sz,expt,orig)); +showIm(mkAngle(sz,dir)); +showIm(mkDisc(sz,sz/4,orig,twidth)); +showIm(mkGaussian(sz,(sz/6)^2,orig,ampl)); +showIm(mkZonePlate(sz,ampl,ph)); +showIm(mkAngularSine(sz,3,ampl,ph,orig)); +showIm(mkSine(sz,per,dir,ampl,ph,orig)); +showIm(mkSquare(sz,per,dir,ampl,ph,orig,twidth)); +showIm(mkFract(sz,expt)); + + +%%% Point operations (lookup tables): +[Xtbl,Ytbl] = rcosFn(20, 25, [-1 1]); +plot(Xtbl,Ytbl); +showIm(pointOp(mkR(100,1,[70,30]), Ytbl, Xtbl(1), Xtbl(2)-Xtbl(1), 0)); + + +%%% histogram Modification/matching: +[N,X] = histo(im, 150); +[mn, mx] = range2(im); +matched = histoMatch(rand(size(im)), N, X); +showIm(im + sqrt(-1)*matched); +[Nm,Xm] = histo(matched,150); +nextFig(2,1); + subplot(1,2,1); plot(X,N); axis([mn mx 0 max(N)]); + subplot(1,2,2); plot(Xm,Nm); axis([mn mx 0 max(N)]); +nextFig(2,-1); + +%%% Convolution routines: + +%% Compare speed of convolution/downsampling routines: +noise = rand(400); filt = rand(10); +tic; res1 = corrDn(noise,filt(10:-1:1,10:-1:1),'reflect1',[2 2]); toc; +tic; ires = rconv2(noise,filt); res2 = ires(1:2:400,1:2:400); toc; +imStats(res1,res2) + +%% Display image and extension of left and top boundaries: +fsz = [9 9]; +fmid = ceil((fsz+1)/2); +imsz = [16 16]; + +% pick one: +im = eye(imsz); +im = mkRamp(imsz,pi/6); +im = mkSquare(imsz,6,pi/6); + +% pick one: +edges='reflect1'; +edges='reflect2'; +edges='repeat'; +edges='extend'; +edges='zero'; +edges='circular'; +edges='dont-compute'; + +filt = mkImpulse(fsz,[1 1]); +showIm(corrDn(im,filt,edges)); +line([0,0,imsz(2),imsz(2),0]+fmid(2)-0.5, ... + [0,imsz(1),imsz(1),0,0]+fmid(1)-0.5); +title(sprintf('Edges = %s',edges)); + +%%% Multi-scale pyramids (see pyramids.m for more examples, +%%% and explanations): + +%% A Laplacian pyramid: +[pyr,pind] = buildLpyr(im); +showLpyr(pyr,pind); + +res = reconLpyr(pyr, pind); % full reconstruction +imStats(im,res); % essentially perfect + +res = reconLpyr(pyr, pind, [2 3]); %reconstruct 2nd and 3rd levels only +showIm(res); + +%% Wavelet/QMF pyramids: +filt = 'qmf9'; edges = 'reflect1'; +filt = 'haar'; edges = 'qreflect2'; +filt = 'qmf12'; edges = 'qreflect2'; +filt = 'daub3'; edges = 'circular'; + +%[pyr,pind] = buildWpyr(im, 5-imSubSample, filt, edges); +[pyr,pind] = buildWpyr(im, 'auto', filt, edges); +showWpyr(pyr,pind,'auto2'); + +res = reconWpyr(pyr, pind, filt, edges); +clf; +showIm(im + i*res); +imStats(im,res); + +res = reconWpyr(pyr, pind, filt, edges, 'all', [2]); %vertical only +clf; +showIm(res); + +%% Steerable pyramid: +%[pyr,pind] = buildSpyr(im,4-imSubSample,'sp3Filters'); +[pyr,pind] = buildSpyr(im,'auto','sp3Filters'); +showSpyr(pyr,pind); + +%% Steerable pyramid, constructed in frequency domain: +%[pyr,pind] = buildSFpyr(im,5-imSubSample,4); %5 orientation bands +[pyr,pind] = buildSFpyr(im); %5 orientation bands +showSpyr(pyr,pind); +res = reconSFpyr(pyr,pind); +imStats(im,res); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/pyramids.html b/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/pyramids.html new file mode 100644 index 0000000..a663f36 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/pyramids.html @@ -0,0 +1,1701 @@ + + + + + + + + pyramids + + + + + + + +

IMAGE PYRAMID TUTORIAL

+
+ +A brief introduction to multi-scale pyramid decompositions for image processing. You should go through this, reading the comments, and +executing the corresponding MatLab instructions. This file assumes a basic familiarity with matrix algebra, with linear systems and Fourier +theory, and with MatLab. If you don't understand a particular function call, execute "help <functionName>" to see documentation. +
EPS, 6/96. +
Based on the original OBVIUS tutorial.

+Determine a subsampling factor for images, based on machine speed:

oim = pgmRead('einstein.pgm');
+tic; corrDn(oim,[1 1; 1 1]/4,'reflect1',[2 2]); time = toc;
+imSubSample = min(max(floor(log2(time)/2+3),0),2);
+im = blurDn(oim, imSubSample,'qmf9');
+clear oim;
+clf; showIm(im, 'auto2', 'auto', 'im');
+
+
+ +

LAPLACIAN PYRAMIDS:

+Images may be decomposed into information at different scales. Blurring eliminates the fine scales (detail):
binom5 = binomialFilter(5);
+lo_filt = binom5*binom5';
+blurred = rconv2(im,lo_filt);
+subplot(1,2,1); showIm(im, 'auto2', 'auto', 'im');
+subplot(1,2,2); showIm(blurred, 'auto2', 'auto', 'blurred');
+

+Subtracting the blurred image from the original leaves ONLY the fine scale detail:
fine0 = im - blurred;
+subplot(1,2,1); showIm(fine0, 'auto2', 'auto', 'fine0');
+

+The blurred and fine images contain all the information found in +the original image. Trivially, adding the blurred image to the +fine scale detail will reconstruct the original. We can compare +the original image to the sum of blurred and fine using the +"imStats" function, which reports on the statistics of the +difference between it's arguments: +
imStats(im, blurred+fine0);
+
Difference statistics:
+  Range: [-7.105427e-15, 3.552714e-15]
+  Mean: -0.000000,  Stdev (rmse): 0.000000,  SNR (dB): 353.641098
+
+Since the filter is a lowpass filter, we might want to subsample + the blurred image. This may cause some aliasing (depends on the + filter), but the decomposition structure given above will still be + possible. The corrDn function correlates (same as convolution, but + flipped filter) and downsamples in a single operation (for + efficiency). The string 'reflect1' tells the function to handle + boundaries by reflecting the image about the edge pixels. Notice + that the blurred1 image is half the size (in each dimension) of the + original image. +
lo_filt = 2*binom5*binom5';  %construct a separable 2D filter
+blurred1 = corrDn(im,lo_filt,'reflect1',[2 2]);
+subplot(1,2,2); showIm(blurred1,'auto2','auto','blurred1');
+

+Now, to extract fine scale detail, we must interpolate the image + back up to full size before subtracting it from the original. The + upConv function does upsampling (padding with zeros between + samples) followed by convolution. This can be done using the + lowpass filter that was applied before subsampling or it can be + done with a different filter. +
fine1 = im - upConv(blurred1,lo_filt,'reflect1',[2 2],[1 1],size(im));
+subplot(1,2,1); showIm(fine1,'auto2','auto','fine1');
+

+We now have a technique that takes an image, computes two new + images (blurred1 and fine1) containing the coarse scale information + and the fine scale information. We can also (trivially) + reconstruct the original from these two (even if the subsampling of + the blurred1 image caused aliasing):
recon = fine1 + upConv(blurred1,lo_filt,'reflect1',[2 2],[1 1],size(im));
+imStats(im, recon);
+
Difference statistics:
+  Range: [-7.105427e-15, 7.105427e-15]
+  Mean: -0.000000,  Stdev (rmse): 0.000000,  SNR (dB): 345.757412
+
+Thus, we have described an INVERTIBLE linear transform that maps an + input image to the two images blurred1 and fine1. The inverse + transformation maps blurred1 and fine1 to the result. This is + depicted graphically with a system diagram: + 
IM --> blur/down2 ---------> BLURRED1 --> up2/blur --> add --> RECON
+|                    |                                  ^
+|	             |                                  |
+|	             V                                  |
+|	          up2/blur                              |
+|	             |                                  |
+|	             |                                  |
+|	             V                                  |
+ --------------> subtract --> FINE1 -------------------
+Note that the number of samples in the representation (i.e., total + samples in BLURRED1 and FINE1) is 1.5 times the number of samples + in the original IM. Thus, this representation is OVERCOMPLETE. + Often, we will want further subdivisions of scale. We can + decompose the (coarse-scale) BLURRED1 image into medium coarse and + very coarse images by applying the same splitting technique: +
blurred2 = corrDn(blurred1,lo_filt,'reflect1',[2 2]);
+showIm(blurred2)
+
+
+ans =
+
+  152.6425  710.8401
+
+ +
+fine2 = blurred1 - upConv(blurred2,lo_filt,'reflect1',[2 2],[1 1],size(blurred1));
+showIm(fine2)
+
+
+ans =
+
+ -107.9813  151.5816
+
+
+
+Since blurred2 and fine2 can be used to reconstruct blurred1, and + blurred1 and fine1 can be used to reconstruct the original image, + the set of THREE images (also known as "subbands") {blurred2, + fine2, fine1} constitute a complete representation of the original + image. Note that the three subbands are displayed at the same size, + but they are actually three different sizes. +
subplot(1,3,1); showIm(fine1,'auto2',2^(imSubSample-1),'fine1');
+subplot(1,3,2); showIm(fine2,'auto2',2^(imSubSample),'fine2');
+subplot(1,3,3); showIm(blurred2,'auto2',2^(imSubSample+1),'blurred2');
+

+It is useful to consider exactly what information is stored in each + of the pyramid subbands. The reconstruction process involves + recursively interpolating these images and then adding them to the + image at the next finer scale. To see the contribution of ONE of + the representation images (say blurred2) to the reconstruction, we + imagine filling all the other subbands with zeros and then + following our reconstruction procedure. For the blurred2 subband, + this is equivalent to simply calling upConv twice: +
blurred2_full = upConv(upConv(blurred2,lo_filt,'reflect1',[2 2],[1 1],size(blurred1)),...
+    lo_filt,'reflect1',[2 2],[1 1],size(im));
+subplot(1,3,3); showIm(blurred2_full,'auto2',2^(imSubSample-1),'blurred2-full');
+

For the fine2 subband, this is equivalent to calling upConv once:

fine2_full = upConv(fine2,lo_filt,'reflect1',[2 2],[1 1],size(im));
+subplot(1,3,2); showIm(fine2_full,'auto2',2^(imSubSample-1),'fine2-full');
+

If we did everything correctly, we should be able to add together these three full-size images to reconstruct the original image:

recon = blurred2_full + fine2_full + fine1;
+imStats(im, recon)
+
+
+
Difference statistics:
+  Range: [-8.526513e-14, 5.684342e-14]
+  Mean: -0.000000,  Stdev (rmse): 0.000000,  SNR (dB): 307.603254
+
+ +

FUNCTIONS for CONSTRUCTING/MANIPULATING LAPLACIAN PYRAMIDS

+We can continue this process, recursively splitting off finer and finer details from the blurred image (like peeling off the outer layers of an onion). The resulting data structure is known as a "Laplacian Pyramid". To make things easier, we have written a MatLab function called buildLpyr to construct this object. The function returns two items: a long vector containing the subbands of the pyramid, and an index matrix that is used to access these subbands. The display routine showLpyr shows all the subbands of the pyramid, at the their correct relative sizes. It should now be clearer why these data structures are called "pyramids".

[pyr,pind] = buildLpyr(im,5-imSubSample);
+showLpyr(pyr,pind);
+

There are also "accessor" functions for pulling out a single subband:

showIm(pyrBand(pyr,pind,2));
+
+
+The reconLpyr function allows you to reconstruct from a laplacian pyramid. The third (optional) arg allows you to select any subset of pyramid bands (default is to use ALL of them).

clf; showIm(reconLpyr(pyr,pind,[1 3]),'auto2','auto','bands 1 and 3 only');
+
+ +
+fullres = reconLpyr(pyr,pind);
+showIm(fullres,'auto2','auto','Full reconstruction');
+imStats(im,fullres);
+
Difference statistics:
+  Range: [-7.105427e-15, 7.105427e-15]
+  Mean: 0.000000,  Stdev (rmse): 0.000000,  SNR (dB): 345.757510
+
+
buildLpyr uses 5-tap filters by default for building Laplacian pyramids. You can specify other filters:

namedFilter('binom3')
+[pyr3,pind3] = buildLpyr(im,5-imSubSample,'binom3');
+showLpyr(pyr3,pind3);
+fullres3 = reconLpyr(pyr3,pind3,'all','binom3');
+imStats(im,fullres3);
+
+ans =
+
+    0.3536
+    0.7071
+    0.3536
+
+Difference statistics:
+  Range: [, 7.105427e-15]
+  Mean: 0.000000,  Stdev (rmse): 0.000000,  SNR (dB): 350.953606
+
+
Here we build a "Laplacian" pyramid using random filters. filt1 is used with the downsampling operations and filt2 is used with the upsampling operations. We normalize the filters for display purposes. Of course, these filters are (almost certainly) not very "Gaussian", and the subbands of such a pyramid will be garbage! Nevertheless, it is a simple property of the Laplacian pyramid that we can use ANY filters and we will still be able to reconstruct perfectly.

filt1 = rand(1,5); filt1 = sqrt(2)*filt1/sum(filt1)
+filt2 = rand(1,3); filt2 = sqrt(2)*filt2/sum(filt2)
+[pyrr,pindr] = buildLpyr(im,5-imSubSample,filt1,filt2);
+showLpyr(pyrr,pindr);
+fullresr = reconLpyr(pyrr,pindr,'all',filt2);
+imStats(im,fullresr);
+
+
+
+filt1 =
+
+    0.3708    0.2612    0.2453    0.4093    0.1276
+
+
+filt2 =
+
+    0.5662    0.5636    0.2845
+
+Difference statistics:
+  Range: [-1.421085e-14, 2.842171e-14]
+  Mean: -0.000000,  Stdev (rmse): 0.000000,  SNR (dB): 336.260358
+
+

ALIASING in the Gaussian and Laplacian pyramids:

+Unless one is careful, the subsampling operations will introduce aliasing artifacts in these pyramid transforms. This is true even though the Laplacian pyramid can be used to reconstruct the original image perfectly. When reconstructing, the pyramid is designed in such a way that these aliasing artifacts cancel out. So it's not a problem if the only thing we want to do is reconstruct. However, it can be a serious problem if we intend to process each of the subbands independently. One way to see the consequences of the aliasing artifacts is byexamining variations that occur when the input is shifted. We choose an image and shift it by some number of pixels. Then blur +(filter-downsample-upsample-filter) the original image and blur the shifted image. If there's no aliasing, then the blur and shift operations should commute (i.e., shift-filter-downsample-upsample-filter is the same as filter-downsample-upsample-filter-shift). Try this for 2 different filters (by replacing 'binom3' with 'binom5' or 'binom7' below), and you'll see that the aliasing is much worse for the 3 tap filter.

sig = 100*randn([1 16]);
+sh = [0 7];  %shift amount
+lev = 2; % level of pyramid to look at
+flt = 'binom3';  %filter to use:
+
+shiftIm = shift(sig,sh);
+[pyr,pind] = buildLpyr(shiftIm, lev, flt, flt, 'circular');
+shiftBlur = reconLpyr(pyr, pind, lev, flt, 'circular');
+
+[pyr,pind] = buildLpyr(sig, lev, flt, flt, 'circular');
+res = reconLpyr(pyr, pind, lev, flt, 'circular');
+blurShift = shift(res,sh);
+
+subplot(2,1,1); r = showIm(shiftBlur,'auto2','auto','shiftBlur');
+subplot(2,1,2); showIm(blurShift,r,'auto','blurShift');
+imStats(blurShift,shiftBlur);
+
+
+
Difference statistics:
+  Range: [-9.191223e+01, 8.063398e+01]
+  Mean: 0.000000,  Stdev (rmse): 46.487369,  SNR (dB): -0.344851
+
+

PROJECTION and BASIS functions:

+An invertible, linear transform can be characterized in terms of a set of PROJECTION and BASIS functions. In matlab matrix notation:
+c = P' * x
+x = B * c
+where x is an input, c are the transform coefficients, P and B are matrices. The columns of P are the projection functions (the input is projected onto the the columns of P to get each successive transform coefficient). The columns of B are the basis functions (x is a linear combination of the columns of B). Since the Laplacian pyramid is a linear transform, we can ask: what are its BASIS functions? We consider these in one dimension for simplicity. The BASIS function corresponding to a given coefficient tells us how much that coefficient contributes to each pixel in the reconstructed image. We can construct a single basis +function by setting one sample of one subband equal to 1.0 (and all others to zero) and reconstructing. To build the entire matrix, we have to do this for every sample of every subband:

sz = min(round(48/(sqrt(2)^imSubSample)),36);
+sig = zeros(sz,1);
+[pyr,pind] = buildLpyr(sig);
+basis = zeros(sz,size(pyr,1));
+for n=1:size(pyr,1)
+  pyr = zeros(size(pyr));
+  pyr(n) = 1;
+  basis(:,n) = reconLpyr(pyr,pind);
+end
+clf; showIm(basis)
+
+ans =
+
+     0     1
+
+

The columns of the basis matrix are the basis functions. The matrix is short and fat, corresponding to the fact that the representation is OVERCOMPLETE. Below, we plot the middle one from each subband, starting with the finest scale. Note that all of these basis functions are lowpass (Gaussian-like) functions.

locations = round(sz * (2 - 3./2.^[1:max(4,size(pind,1))]))+1;
+for lev=1:size(locations,2)
+  subplot(2,2,lev);
+  showIm(basis(:,locations(lev)));
+  axis([0 sz 0 1.1]);
+end
+

Now, we'd also like see the inverse (we'll call them PROJECTION) functions. We need to ask how much of each sample of the input image contributes to a given pyramid coefficient. Thus, the matrix is constructed by building pyramids on the set of images with impulses at each possible location. The rows of this matrix are the projection functions.

projection = zeros(size(pyr,1),sz);
+for pos=1:sz
+  [pyr,pind] = buildLpyr(mkImpulse([1 sz], [1 pos]));
+  projection(:,pos) = pyr;
+end
+clf; showIm(projection);
+

Building a pyramid corresponds to multiplication by the projection matrix. Reconstructing from this pyramid corresponds to multiplication by the basis matrix. Thus, the product of the two matrices (in this order) should be the identity matrix:

showIm(basis*projection);
+

We can plot a few example projection functions at different scales. Note that all of the projection functions are bandpass functions, except for the coarsest subband which is lowpass.

for lev=1:size(locations,2)
+  subplot(2,2,lev);
+  showIm(projection(locations(lev),:));
+  axis([0 sz -0.3 0.8]);
+end
+

Now consider the frequency response of these functions, plotted over the range [-pi,pi]:

for lev=1:size(locations,2)
+  subplot(2,2,lev);
+  proj = projection(locations(lev),:);
+  plot(pi*[-32:31]/32,fftshift(abs(fft(proj',64))));
+  axis([-pi pi -0.1 3]);
+end
+

The first projection function is highpass, and the second is bandpass. Both of these look something like the Laplacian (2nd derivative) of a Gaussian. +The last is lowpass, as are the basis functions. Thus, the basic operation used to create each level of the pyramid involves a simple highpass/lowpass split.

+

QMF/WAVELET PYRAMIDS.

+Two things about Laplacian pyramids are a bit unsatisfactory.First, there are more pixels (coefficients) in the representation than in the original image. Specifically, the 1-dimensional transform is overcomplete by a factor of 4/3, and the 2-dimensional transform is overcomplete by a factor of 2. Secondly, the"bandpass" images (fineN) do not segregate information according toorientation.
There are other varieties of pyramid. One type that arose in the speech coding community is based on a particular pairs of filters known as a "Quadrature Mirror Filters" or QMFs. These are closely related to Wavelets (essentially, they are approximate wavelet +filters).
Recall that the Laplacian pyramid is formed by simple hi/low splitting at each level. The lowpass band is subsampled by a factor of 2, but the highpass band is NOT subsampled. In the QMF pyramid, we apply two filters (hi- and lo- pass) and subsample BOTH by a factor of 2, thus eliminating the excess coefficients of the Laplacian pyramid.
The two filters must have a specific relationship to each other. In particular, let n be an index for the filter samples. +The highpass filter may be constructed from the lowpass filter by (1) modulating (multiplying) by (-1)^n (equivalent to shifting by pi in the Fourier domain), (2) flipping (i.e., reversing the order of the taps), (3) spatially shifting by one sample. Try to convince yourself that the resulting filters will always be orthogonal to each other (i.e., their inner products will be zero) when shifted by any multiple of two.
The function modulateFlip performs the first two of these operations. The third (spatial shifting) step is built into the convolution code.

flo = namedFilter('qmf9')';
+fhi = modulateFlip(flo)';
+subplot(2,1,1); lplot(flo); axis([0 10 -0.5 1.0]); title('lowpass');
+subplot(2,1,2); lplot(fhi); axis([0 10 -0.5 1.0]); title('highpass');
+

In the Fourier domain, these filters are (approximately) "power-complementary": the sum of their squared power spectra is (approximately) a constant. But note that neither is a perfect bandlimiter (i.e., a sinc function), and thus subsampling by a factor of 2 will cause aliasing in each of the subbands. See below for a discussion of the effect of this aliasing. Plot the two frequency responses:

freq = pi*[-32:31]/32;
+subplot(2,1,1);
+plot(freq,fftshift(abs(fft(flo,64))),'--',freq,fftshift(abs(fft(fhi,64))),'-');
+axis([-pi pi 0 1.5]); title('FFT magnitudes');
+subplot(2,1,2);
+plot(freq,fftshift(abs(fft(flo,64)).^2)+fftshift(abs(fft(fhi,64)).^2));
+axis([-pi pi 0 2.2]); title('Sum of squared magnitudes');
+

We can split an input signal into two bands as follows:

sig = mkFract([1,64],1.6);
+subplot(2,1,1); showIm(sig,'auto1','auto','sig');
+lo1 = corrDn(sig,flo,'reflect1',[1 2],[1 1]);
+hi1 = corrDn(sig,fhi,'reflect1',[1 2],[1 2]);
+subplot(2,1,2);
+showIm(lo1,'auto1','auto','low and high bands'); hold on; plot(hi1,'--r'); hold off;
+

Notice that the two subbands are half the size of the original image, due to the subsampling by a factor of 2. One subtle point: the highpass and lowpass bands are subsampled on different lattices: the lowpass band retains the odd-numbered samples and the highpass band retains the even-numbered samples. This was the 1-sample shift relating the high and lowpass kernels (mentioned above). We've used the 'reflect1' to handle boundaries, which works properly for symmetric odd-length QMFs.
We can reconstruct the original image by interpolating these two subbands USING THE SAME FILTERS:

reconlo = upConv(lo1,flo,'reflect1',[1 2]);
+reconhi = upConv(hi1,fhi,'reflect1',[1 2],[1 2]);
+subplot(2,1,2); showIm(reconlo+reconhi,'auto1','auto','reconstructed');
+imStats(sig,reconlo+reconhi);
+
Difference statistics:
+  Range: [-1.832183e-03, 1.369161e-03]
+  Mean: -0.000062,  Stdev (rmse): 0.000727,  SNR (dB): 62.766134
+

We have described an INVERTIBLE linear transform that maps an input image to the two images lo1 and hi1. The inverse transformation maps these two images to the result. This is depicted graphically with a system diagram:
+
IM ---> flo/down2 --> LO1 --> up2/flo --> add --> RECON
+    |                                      ^
+    |	                                   |
+    |	                                   |
+     -> fhi/down2 --> HI1 --> up2/fhi -----

+Note that the number of samples in the representation (i.e., total samples in LO1 and HI1) is equal to the number of samples in the original IM. Thus, this representation is exactly COMPLETE, or "critically sampled".
So we've fixed one of the problems that we had with Laplacian pyramid. But the system diagram above places strong constraints on the filters. In particular, for these filters the reconstruction is no longer perfect. Turns out there are NO perfect-reconstruction symmetric filters that are power-complementary, except for the trivial case [1] and the nearly-trivial case [1 1]/sqrt(2).
Let's consider the projection functions of this 2-band splitting operation. We can construct these by applying the transform to impulse input signals, for all possible impulse locations. The rows of the following matrix are the projection functions for each coefficient in the transform.

M = [corrDn(eye(32),flo','circular',[1 2]), ...
+     corrDn(eye(32),fhi','circular',[1 2],[1 2])]';
+clf; showIm(M,'auto1','auto','M');
+

The transform matrix is composed of two sub-matrices. The top half contains the lowpass kernel, shifted by increments of 2 samples. The bottom half contains the highpass. Now we compute the inverse of this matrix:

M_inv = inv(M);
+showIm(M_inv,'auto1','auto','M_inv');
+

The inverse is (very close to) the transpose of the original matrix! In other words, the transform is orthonormal.

imStats(M_inv',M);
+
Difference statistics:
+  Range: [-6.479123e-04, 3.974265e-04]
+  Mean: -0.000004,  Stdev (rmse): 0.000263,  SNR (dB): 56.495757
+

This also points out a nice relationship between the corrDn and upConv functions, and the matrix representation. corrDn is equivalent to multiplication by a matrix with copies of the filter on the ROWS, translated in multiples of the downsampling factor. upConv is equivalent to multiplication by a matrix with copies of the filter on the COLUMNS, translated by the upsampling factor. As in the Laplacian pyramid, we can recursively apply this QMF band-splitting operation to the lowpass band:

lo2 = corrDn(lo1,flo,'reflect1',[1 2]);
+hi2 = corrDn(lo1,fhi,'reflect1',[1 2],[1 2]);
+

The representation of the original signal is now comprised of the three subbands {hi1, hi2, lo2} (we don't hold onto lo1, because it can be reconstructed from lo2 and hi2). Note that hi1 is at 1/2 resolution, and hi2 and lo2 are at 1/4 resolution: The total number of samples in these three subbands is thus equal to the number of samples in the original signal.

imnames=['hi1'; 'hi2'; 'lo2'];
+for bnum=1:3
+  band = eval(imnames(bnum,:));
+  subplot(3,1,bnum); showIm(band); ylabel(imnames(bnum,:));
+  axis([1 size(band,2) 1.1*min(lo2) 1.1*max(lo2)]);
+end
+

Reconstruction proceeds as with the Laplacian pyramid: combine lo2 and hi2 to reconstruct lo1, which is then combined with hi1 to reconstruct the original signal:

+
recon_lo1 = upConv(hi2,fhi,'reflect1',[1 2],[1 2]) + ...
+            upConv(lo2,flo,'reflect1',[1 2],[1 1]);
+reconstructed = upConv(hi1,fhi,'reflect1',[1 2],[1 2]) + ...
+                upConv(recon_lo1,flo,'reflect1',[1 2],[1 1]);
+imStats(sig,reconstructed);
+
+
+
Difference statistics:
+  Range: [-2.857375e-03, 1.844433e-03]
+  Mean: -0.000097,  Stdev (rmse): 0.001304,  SNR (dB): 57.694286
+
+ +

FUNCTIONS for CONSTRUCTING/MANIPULATING QMF/Wavelet PYRAMIDS

+To make things easier, we have bundled these qmf operations and data structures into an object in MATLAB.

+
sig = mkFract([1 64], 1.5);
+[pyr,pind] = buildWpyr(sig);
+showWpyr(pyr,pind);
+
+ +
+nbands = size(pind,1);
+for b = 1:nbands
+  subplot(nbands,1,b); lplot(pyrBand(pyr,pind,b));
+end
+
+res = reconWpyr(pyr,pind);
+imStats(sig,res);
+
Difference statistics:
+  Range: [-4.206845e-03, 3.766628e-03]
+  Mean: -0.000445,  Stdev (rmse): 0.001764,  SNR (dB): 55.072026
+

Now for 2D, we use separable filters. There are 4 ways to apply the two filters to the input image (followed by the relavent subsampling operation):
+(1) lowpass in both x and y
+(2) lowpass in x and highpass in y
+(3) lowpass in y and highpass in x
+(4) highpass in both x and y.
+The pyramid is built by recursively subdividing the first of these bands into four new subbands.
+First, we'll take a look at some of the basis functions.

sz = 40;
+zim = zeros(sz);
+flo = 'qmf9'; edges = 'reflect1';
+[pyr,pind] = buildWpyr(zim);
+
+% Put an  impulse into the middle of each band:
+for lev=1:size(pind,1)
+  mid = sum(prod(pind(1:lev-1,:)'));
+  mid = mid + floor(pind(lev,2)/2)*pind(lev,1) + floor(pind(lev,1)/2) + 1;
+  pyr(mid,1) = 1;
+end
+
+% And take a look at the reconstruction of each band:
+for lnum=1:wpyrHt(pind)+1
+  for bnum=1:3
+    subplot(wpyrHt(pind)+1,3,(wpyrHt(pind)+1-lnum)*3+bnum);
+    showIm(reconWpyr(pyr, pind, flo, edges, lnum, bnum),'auto1',2,0);
+  end
+end
+

Note that the first column contains horizontally oriented basis functions at different scales. The second contains vertically oriented basis functions. +The third contains both diagonals (a checkerboard pattern). The bottom row shows (3 identical images of) a lowpass basis function. Now look at the corresponding Fourier transform magnitudes (these are plotted over the frequency range [-pi, pi] ):

nextFig(2,1);
+freq = 2 * pi * [-sz/2:(sz/2-1)]/sz;
+for lnum=1:wpyrHt(pind)+1
+  for bnum=1:3
+    subplot(wpyrHt(pind)+1,3,(wpyrHt(pind)+1-lnum)*3+bnum);
+    basisFn = reconWpyr(pyr, pind, flo, edges, lnum, bnum);
+    basisFmag = fftshift(abs(fft2(basisFn,sz,sz)));
+    imagesc(freq,freq,basisFmag);
+    axis('square'); axis('xy'); colormap('gray');
+  end
+end
+nextFig(2,-1);
+

The filters at a given scale sum to a squarish annular region:

sumSpectra = zeros(sz);
+lnum = 2;
+for bnum=1:3
+  basisFn = reconWpyr(pyr, pind, flo, edges, lnum, bnum);
+  basisFmag = fftshift(abs(fft2(basisFn,sz,sz)));
+  sumSpectra = basisFmag.^2 + sumSpectra;
+end
+clf; imagesc(freq,freq,sumSpectra); axis('square'); axis('xy'); title('one scale');
+

Now decompose an image:

+
[pyr,pind] = buildWpyr(im);
+

View all of the subbands (except lowpass), scaled to be the same size (requires a big figure window):

scrsz = get(0,'ScreenSize');
+figure('Position',[1 scrsz(4)/2 scrsz(3)/2 scrsz(4)/2])
+
+nlevs = wpyrHt(pind);
+for lnum=1:nlevs
+  for bnum=1:3
+    subplot(nlevs,3,(lnum-1)*3+bnum);
+    showIm(wpyrBand(pyr,pind,lnum,bnum), 'auto2', 2^(lnum+imSubSample-2));
+  end
+end
+

In addition to the bands shown above, there's a lowpass residual:

+
nextFig(2,1);
+clf; showIm(pyrLow(pyr,pind));
+nextFig(2,-1);
+
+ +
+% Alternatively, display the pyramid with the subbands shown at their
+% correct relative sizes:
+clf; showWpyr(pyr, pind);
+
+
The reconWpyr function can be used to reconstruct the entire pyramid:

reconstructed = reconWpyr(pyr,pind);
+imStats(im,reconstructed);
+
Difference statistics:
+  Range: [-4.394200e-01, 3.481599e-01]
+  Mean: -0.144226,  Stdev (rmse): 0.071076,  SNR (dB): 53.924849
+

As with Laplacian pyramids, you can specify sub-levels and subbands to be included in the reconstruction. For example:

clf
+showIm(reconWpyr(pyr,pind,'qmf9','reflect1',[1:wpyrHt(pind)],[1]));  %Horizontal only
+
+ +
+showIm(reconWpyr(pyr,pind,'qmf9','reflect1',[2,3])); %two middle scales
+
+ +

PERFECT RECONSTRUCTION: HAAR AND DEBAUCHIES WAVELETS

+The symmetric QMF filters used above are not perfectly orthogonal. In fact, it's impossible to construct a symmetric filter of size greater than 2 that is perfectly orthogonal to shifted copies (shifted by multiples of 2) of itself. For example, consider a symmetric kernel of length 3. Shift by two and the right end of the original kernel is aligned with the left end of the shifted one. Thus, the inner product of these two will be the square of the end tap, which will be non-zero.
However, one can easily create wavelet filters of length 2 that will do the job. This is the oldest known wavelet, known as the "Haar". The two kernels are [1,1]/sqrt(2) and [1,-1]/sqrt(2). These are trivially seen to be orthogonal to each other, and shifts by multiples of two are also trivially orthogonal. The projection functions of the Haar transform are in the rows of the following matrix, constructed by applying the transform to impulse input signals, for all possible impulse locations:

haarLo = namedFilter('haar')
+haarHi = modulateFlip(haarLo)
+subplot(2,1,1); lplot(haarLo); axis([0 3 -1 1]); title('lowpass');
+subplot(2,1,2); lplot(haarHi); axis([0 3 -1 1]); title('highpass');
+
+ +
+haarLo =
+
+    0.7071
+    0.7071
+
+
+haarHi =
+
+   -0.7071
+    0.7071
+
+
+
+
+M = [corrDn(eye(32), haarLo, 'reflect1', [2 1], [2 1]); ...
+    corrDn(eye(32), haarHi, 'reflect1', [2 1], [2 1])];
+clf; showIm(M)
+
+
+ans =
+
+   -0.7071    0.7071
+
+
+
+ +
+showIm(M*M') %identity!
+
+ans =
+
+         0    1.0000
+
+
+ +
As before, the filters are power-complementary (although the frequency isolation is rather poor, and thus the subbands will be heavily aliased):

+
plot(pi*[-32:31]/32,abs(fft(haarLo,64)).^2,'--',...
+     pi*[-32:31]/32,abs(fft(haarHi,64)).^2,'-');
+
+ +
+sig = mkFract([1,64],0.5);
+[pyr,pind] = buildWpyr(sig,4,'haar','reflect1');
+showWpyr(pyr,pind);
+

check perfect reconstruction:

res = reconWpyr(pyr,pind, 'haar', 'reflect1');
+imStats(sig,res)
+
Difference statistics:
+  Range: [-2.775558e-16, 3.552714e-15]
+  Mean: 0.000000,  Stdev (rmse): 0.000000,  SNR (dB): 300.614315
+

If you want perfect reconstruction, but don't like the Haar transform, there's another option: drop the symmetry requirement. Ingrid Daubechies developed one of the earliest sets of such perfect-reconstruction wavelets. The simplest of these is of length 4:

daub_lo = namedFilter('daub2');
+daub_hi = modulateFlip(daub_lo);
+

The daub_lo filter is constructed to be orthogonal to 2shifted copy of itself. For example:

+
[daub_lo;0;0]'*[0;0;daub_lo]
+
+
+ans =
+
+   2.9092e-13
+
+
+
+
+M = [corrDn(eye(32), daub_lo, 'circular', [2 1], [2 1]); ...
+    corrDn(eye(32), daub_hi, 'circular', [2 1], [2 1])];
+clf; showIm(M)
+
+
+ans =
+
+   -0.4830    0.8365
+
+
+
+ +
+showIm(M*M') % identity!
+
+ans =
+
+         0    1.0000
+
+
+ +
Again, they're power complementary:

plot(pi*[-32:31]/32,abs(fft(daub_lo,64)).^2,'--',...
+     pi*[-32:31]/32,abs(fft(daub_hi,64)).^2,'-');
+

The sum of the power spectra is again flat

plot(pi*[-32:31]/32,...
+    fftshift(abs(fft(daub_lo,64)).^2)+fftshift(abs(fft(daub_hi,64)).^2));
+

Make a pyramid using the same code as before (except that we can't use reflected boundaries with asymmetric filters):

[pyr,pind] = buildWpyr(sig, maxPyrHt(size(sig),size(daub_lo)), daub_lo, 'circular');
+showWpyr(pyr,pind,'indep1');
+
+res = reconWpyr(pyr,pind, daub_lo,'circular');
+imStats(sig,res);
+
+
+
Difference statistics:
+  Range: [-1.573097e-11, -2.440159e-12]
+  Mean: -0.000000,  Stdev (rmse): 0.000000,  SNR (dB): 228.416414
+
+

ALIASING IN WAVELET TRANSFORMS

+All of these orthonormal pyramid/wavelet transforms have a lot of aliasing in the subbands. You can see that in the frequency response plots since the frequency response of each filter covers well more than half the frequency domain. The aliasing can have serious consequences...
+Get one of the basis functions of the 2D Daubechies wavelet transform:

[pyr,pind] = buildWpyr(zeros(1,64),4,daub_lo,'circular');
+lev = 3;
+pyr(1+sum(pind(1:lev-1,2))+pind(lev,2)/2,1) = 1;
+sig = reconWpyr(pyr,pind, daub_lo,'circular');
+clf; lplot(sig)
+

Since the basis functions are orthonormal, building a pyramid using this input will yield a single non-zero coefficient.

[pyr,pind] = buildWpyr(sig, 4, daub_lo, 'circular');
+figure(1);
+nbands = size(pind,1)
+for b=1:nbands
+  subplot(nbands,1,b); lplot(pyrBand(pyr,pind,b));
+  axis([1 size(pyrBand(pyr,pind,b),2) -0.3 1.3]);
+end
+
+nbands =
+
+     5
+
+

Now shift the input by one sample and re-build the pyramid.

shifted_sig = [0,sig(1:size(sig,2)-1)];
+[spyr,spind] = buildWpyr(shifted_sig, 4, daub_lo, 'circular');
+

Plot each band of the unshifted and shifted decomposition

nextFig(2);
+nbands = size(spind,1)
+for b=1:nbands
+  subplot(nbands,1,b); lplot(pyrBand(spyr,spind,b));
+  axis([1 size(pyrBand(spyr,spind,b),2) -0.3 1.3]);
+end
+nextFig(2,-1);
+
+nbands =
+
+     5
+
+
+
In the third band, we expected the coefficients to move around because the signal was shifted. But notice that in the original signal decomposition, the other bands were filled with zeros. After the shift, they have significant content. Although these subbands are supposed to represent information at different scales, their content also depends on the relative POSITION of the input signal.
This problem is not unique to the Daubechies transform. The same is true for the QMF transform. Try it... In fact, the same kind of problem occurs for almost any orthogonal pyramid transform (the only exception is the limiting case in which the filter is a sinc function).
Orthogonal pyramid transforms are not shift-invariant. Although orthogonality may be an important property for some applications (e.g., data compression), orthogonal pyramid transforms are generally not so good for image analysis.
The overcompleteness of the Laplacian pyramid turns out to be a good thing in the end. By using an overcomplete representation (and by choosing the filters properly to avoid aliasing as much as possible), you end up with a representation that is useful for image analysis.

+

The "STEERABLE PYRAMID"

+The steerable pyramid is a multi-scale representation that istranslation-invariant, but that also includes representation of orientation. Furthermore, the representation of orientation is designed to be rotation-invariant. The basis/projection functions are oriented (steerable) filters, localized in space and frequency. It is overcomplete to avoid aliasing. And it is "self-inverting" (like the QMF/Wavelet transform): the projection functions and basis functions are identical. The mathematical phrase for a transform obeying this property is "tight frame".
+The system diagram for the steerable pyramid (described in the reference given below) is as follows:
+ 
IM ---> fhi0 -----------------> H0 ---------------- fhi0 ---> RESULT
+     |                                                     |
+     |                                                     |
+     |-> flo0 ---> fl1/down2 --> L1 --> up2/fl1 ---> flo0 -|
+               |                                 |
+               |----> fb0 -----> B0 ----> fb0 ---|
+               |                                 |
+               |----> fb1 -----> B1 ----> fb1 ---|
+               .                                 .
+               .                                 .
+               |----> fbK -----> BK ----> fbK ---|
+
The filters {fhi0,flo0} are used to initially split the image into a highpass residual band H0 and a lowpass subband. This lowpass band is then split into a low(er)pass band L1 and K+1 oriented subbands {B0,B1,...,BK}. The representatation is substantially overcomplete. The pyramid is built by recursively splitting the lowpass band (L1) using the inner portion of the diagram (i.e., using the filters {fl1,fb0,fb1,...,fbK}). The resulting transform is overcomplete by a factor of 4k/3.
+The scale tuning of the filters is constrained by the recursive system diagram. The orientation tuning is constrained by requiring the property of steerability. A set of filters form a steerable basis if they 1) are rotated copies of each other, and 2) a copy of the filter at any orientation may be computed as a linear combination of the basis filters. The simplest examples of steerable filters is a set of N+1 Nth-order directional derivatives.
+Choose a filter set (options are 'sp0Filters', 'sp1Filters', 'sp3Filters', 'sp5Filters'):

filts = 'sp3Filters';
+[lo0filt,hi0filt,lofilt,bfilts,steermtx,harmonics] = eval(filts);
+fsz = round(sqrt(size(bfilts,1))); fsz =  [fsz fsz];
+nfilts = size(bfilts,2);
+nrows = floor(sqrt(nfilts));
+

Look at the oriented bandpass filters:

figure
+for f = 1:nfilts
+  subplot(nrows,ceil(nfilts/nrows),f);
+  showIm(conv2(reshape(bfilts(:,f),fsz),lo0filt));
+end
+

Try "steering" to a new orientation (new_ori in degrees):

new_ori = 360*rand(1)
+clf; showIm(conv2(reshape(steer(bfilts, new_ori*pi/180 ), fsz), lo0filt));
+
+new_ori =
+
+  204.4158
+
+

Look at Fourier transform magnitudes:

lo0 = fftshift(abs(fft2(lo0filt,64,64)));
+fsum = zeros(size(lo0));
+figure
+for f = 1:size(bfilts,2)
+  subplot(nrows,ceil(nfilts/nrows),f);
+  flt = reshape(bfilts(:,f),fsz);
+  freq = lo0 .* fftshift(abs(fft2(flt,64,64)));
+  fsum = fsum + freq.^2;
+  showIm(freq);
+end
+

The filters sum to a smooth annular ring:

clf; showIm(fsum);
+

build a Steerable pyramid:

[pyr,pind] = buildSpyr(im, 4-imSubSample, filts);
+

Look at first (vertical) bands, different scales:

for s = 1:min(4,spyrHt(pind))
+  band = spyrBand(pyr,pind,s,1);
+  subplot(2,2,s); showIm(band);
+end
+

look at all orientation bands at one level (scale):

for b = 1:spyrNumBands(pind)
+  band = spyrBand(pyr,pind,1,b);
+  subplot(nrows,ceil(nfilts/nrows),b);
+  showIm(band);
+end
+

+
To access the high-pass and low-pass bands:

+
low = pyrLow(pyr,pind);
+showIm(low);
+
+
+
+high = spyrHigh(pyr,pind);
+showIm(high);
+
+ +
Display the whole pyramid (except for the highpass residual band), with images shown at proper relative sizes:

showSpyr(pyr,pind);
+

Spin a level of the pyramid, interpolating (steering to) intermediate orienations:

+
[lev,lind] = spyrLev(pyr,pind,2);
+lev2 = reshape(lev,prod(lind(1,:)),size(bfilts,2));
+figure(1); subplot(1,1,1); showIm(spyrBand(pyr,pind,2,1));
+M = moviein(16);
+for frame = 1:16
+  steered_im = steer(lev2, 2*pi*(frame-1)/16, harmonics, steermtx);
+  showIm(reshape(steered_im, lind(1,:)),'auto2');
+  M(:,frame) = getframe;
+end
+
+ +
Reconstruct. Note that the filters are not perfect, although they are good enough for most applications.

res = reconSpyr(pyr, pind, filts);
+showIm(im + i * res);
+imStats(im,res);
+
+
+Difference statistics:
+  Range: [-8.829810e+01, 1.084642e+02]
+  Mean: -0.611088,  Stdev (rmse): 13.451002,  SNR (dB): 8.384218
+
+ +
As with previous pyramids, you can select subsets of the levels and orientation bands to be included in the reconstruction.
For example: All levels (including highpass and lowpass residuals), one orientation:

+
clf; showIm(reconSpyr(pyr,pind,filts,'reflect1','all', [1]));
+
+ +
Without the highpass and lowpass:

+
clf; showIm(reconSpyr(pyr,pind,filts,'reflect1',[1:spyrHt(pind)], [1]));
+
+ +
We also provide an implementation of the Steerable pyramid in the Frequency domain. The advantages are perfect-reconstruction (within floating-point error), and any number of orientation bands. The disadvantages are that it is typically slower, and the boundary handling is always circular.

[pyr,pind] = buildSFpyr(im,4,4); % 4 levels, 5 orientation bands
+showSpyr(pyr,pind);
+res = reconSFpyr(pyr,pind);
+imStats(im,res);  % nearly perfect
+
+
+Difference statistics:
+  Range: [-9.705222e-04, 1.297531e-03]
+  Mean: -0.000000,  Stdev (rmse): 0.000256,  SNR (dB): 102.810403
+
+
+

+The steerable pyramid transform given above is described in:
+E P Simoncelli and W T Freeman.
+The Steerable Pyramid: A Flexible Architecture for Multi-Scale +Derivative Computation.
+IEEE Second Int'l Conf on Image Processing. +Washington DC, October 1995.
+Online access:
+Abstract
+Full (PDF)
+ +


+ Published with MATLAB® 7.6

+
+ + + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/pyramids.m b/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/pyramids.m new file mode 100644 index 0000000..2123c69 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/TUTORIALS/pyramids.m @@ -0,0 +1,903 @@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%% IMAGE PYRAMID TUTORIAL +%%% +%%% A brief introduction to multi-scale pyramid decompositions for image +%%% processing. You should go through this, reading the comments, and +%%% executing the corresponding MatLab instructions. This file assumes +%%% a basic familiarity with matrix algebra, with linear systems and Fourier +%%% theory, and with MatLab. If you don't understand a particular +%%% function call, execute "help " to see documentation. +%%% +%%% EPS, 6/96. +%%% Based on the original OBVIUS tutorial. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%% Determine a subsampling factor for images, based on machine speed: +oim = pgmRead('einstein.pgm'); +tic; corrDn(oim,[1 1; 1 1]/4,'reflect1',[2 2]); time = toc; +imSubSample = min(max(floor(log2(time)/2+3),0),2); +im = blurDn(oim, imSubSample,'qmf9'); +clear oim; +clf; showIm(im, 'auto2', 'auto', 'im'); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%% LAPLACIAN PYRAMIDS: + +%% Images may be decomposed into information at different scales. +%% Blurring eliminates the fine scales (detail): + +binom5 = binomialFilter(5); +lo_filt = binom5*binom5'; +blurred = rconv2(im,lo_filt); +subplot(1,2,1); showIm(im, 'auto2', 'auto', 'im'); +subplot(1,2,2); showIm(blurred, 'auto2', 'auto', 'blurred'); + +%% Subtracting the blurred image from the original leaves ONLY the +%% fine scale detail: +fine0 = im - blurred; +subplot(1,2,1); showIm(fine0, 'auto2', 'auto', 'fine0'); + +%% The blurred and fine images contain all the information found in +%% the original image. Trivially, adding the blurred image to the +%% fine scale detail will reconstruct the original. We can compare +%% the original image to the sum of blurred and fine using the +%% "imStats" function, which reports on the statistics of the +%% difference between it's arguments: +imStats(im, blurred+fine0); + +%% Since the filter is a lowpass filter, we might want to subsample +%% the blurred image. This may cause some aliasing (depends on the +%% filter), but the decomposition structure given above will still be +%% possible. The corrDn function correlates (same as convolution, but +%% flipped filter) and downsamples in a single operation (for +%% efficiency). The string 'reflect1' tells the function to handle +%% boundaries by reflecting the image about the edge pixels. Notice +%% that the blurred1 image is half the size (in each dimension) of the +%% original image. +lo_filt = 2*binom5*binom5'; %construct a separable 2D filter +blurred1 = corrDn(im,lo_filt,'reflect1',[2 2]); +subplot(1,2,2); showIm(blurred1,'auto2','auto','blurred1'); + +%% Now, to extract fine scale detail, we must interpolate the image +%% back up to full size before subtracting it from the original. The +%% upConv function does upsampling (padding with zeros between +%% samples) followed by convolution. This can be done using the +%% lowpass filter that was applied before subsampling or it can be +%% done with a different filter. +fine1 = im - upConv(blurred1,lo_filt,'reflect1',[2 2],[1 1],size(im)); +subplot(1,2,1); showIm(fine1,'auto2','auto','fine1'); + +%% We now have a technique that takes an image, computes two new +%% images (blurred1 and fine1) containing the coarse scale information +%% and the fine scale information. We can also (trivially) +%% reconstruct the original from these two (even if the subsampling of +%% the blurred1 image caused aliasing): + +recon = fine1 + upConv(blurred1,lo_filt,'reflect1',[2 2],[1 1],size(im)); +imStats(im, recon); + +%% Thus, we have described an INVERTIBLE linear transform that maps an +%% input image to the two images blurred1 and fine1. The inverse +%% transformation maps blurred1 and fine1 to the result. This is +%% depicted graphically with a system diagram: +%% +%% IM --> blur/down2 ---------> BLURRED1 --> up2/blur --> add --> RECON +%% | | ^ +%% | | | +%% | V | +%% | up2/blur | +%% | | | +%% | | | +%% | V | +%% --------------> subtract --> FINE1 ------------------- +%% +%% Note that the number of samples in the representation (i.e., total +%% samples in BLURRED1 and FINE1) is 1.5 times the number of samples +%% in the original IM. Thus, this representation is OVERCOMPLETE. + +%% Often, we will want further subdivisions of scale. We can +%% decompose the (coarse-scale) BLURRED1 image into medium coarse and +%% very coarse images by applying the same splitting technique: +blurred2 = corrDn(blurred1,lo_filt,'reflect1',[2 2]); +showIm(blurred2) + +fine2 = blurred1 - upConv(blurred2,lo_filt,'reflect1',[2 2],[1 1],size(blurred1)); +showIm(fine2) + +%% Since blurred2 and fine2 can be used to reconstruct blurred1, and +%% blurred1 and fine1 can be used to reconstruct the original image, +%% the set of THREE images (also known as "subbands") {blurred2, +%% fine2, fine1} constitute a complete representation of the original +%% image. Note that the three subbands are displayed at the same size, +%% but they are actually three different sizes. + +subplot(1,3,1); showIm(fine1,'auto2',2^(imSubSample-1),'fine1'); +subplot(1,3,2); showIm(fine2,'auto2',2^(imSubSample),'fine2'); +subplot(1,3,3); showIm(blurred2,'auto2',2^(imSubSample+1),'blurred2'); + +%% It is useful to consider exactly what information is stored in each +%% of the pyramid subbands. The reconstruction process involves +%% recursively interpolating these images and then adding them to the +%% image at the next finer scale. To see the contribution of ONE of +%% the representation images (say blurred2) to the reconstruction, we +%% imagine filling all the other subbands with zeros and then +%% following our reconstruction procedure. For the blurred2 subband, +%% this is equivalent to simply calling upConv twice: +blurred2_full = upConv(upConv(blurred2,lo_filt,'reflect1',[2 2],[1 1],size(blurred1)),... + lo_filt,'reflect1',[2 2],[1 1],size(im)); +subplot(1,3,3); showIm(blurred2_full,'auto2',2^(imSubSample-1),'blurred2-full'); + +%% For the fine2 subband, this is equivalent to calling upConv once: +fine2_full = upConv(fine2,lo_filt,'reflect1',[2 2],[1 1],size(im)); +subplot(1,3,2); showIm(fine2_full,'auto2',2^(imSubSample-1),'fine2-full'); + +%% If we did everything correctly, we should be able to add together +%% these three full-size images to reconstruct the original image: +recon = blurred2_full + fine2_full + fine1; +imStats(im, recon) + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%% FUNCTIONS for CONSTRUCTING/MANIPULATING LAPLACIAN PYRAMIDS + +%% We can continue this process, recursively splitting off finer and +%% finer details from the blurred image (like peeling off the outer +%% layers of an onion). The resulting data structure is known as a +%% "Laplacian Pyramid". To make things easier, we have written a +%% MatLab function called buildLpyr to construct this object. The +%% function returns two items: a long vector containing the subbands +%% of the pyramid, and an index matrix that is used to access these +%% subbands. The display routine showLpyr shows all the subbands of the +%% pyramid, at the their correct relative sizes. It should now be +%% clearer why these data structures are called "pyramids". +[pyr,pind] = buildLpyr(im,5-imSubSample); +showLpyr(pyr,pind); + +%% There are also "accessor" functions for pulling out a single subband: +showIm(pyrBand(pyr,pind,2)); + +%% The reconLpyr function allows you to reconstruct from a laplacian pyramid. +%% The third (optional) arg allows you to select any subset of pyramid bands +%% (default is to use ALL of them). +clf; showIm(reconLpyr(pyr,pind,[1 3]),'auto2','auto','bands 1 and 3 only'); + +fullres = reconLpyr(pyr,pind); +showIm(fullres,'auto2','auto','Full reconstruction'); +imStats(im,fullres); + +%% buildLpyr uses 5-tap filters by default for building Laplacian +%% pyramids. You can specify other filters: +namedFilter('binom3') +[pyr3,pind3] = buildLpyr(im,5-imSubSample,'binom3'); +showLpyr(pyr3,pind3); +fullres3 = reconLpyr(pyr3,pind3,'all','binom3'); +imStats(im,fullres3); + +%% Here we build a "Laplacian" pyramid using random filters. filt1 is +%% used with the downsampling operations and filt2 is used with the +%% upsampling operations. We normalize the filters for display +%% purposes. Of course, these filters are (almost certainly) not very +%% "Gaussian", and the subbands of such a pyramid will be garbage! +%% Nevertheless, it is a simple property of the Laplacian pyramid that +%% we can use ANY filters and we will still be able to reconstruct +%% perfectly. + +filt1 = rand(1,5); filt1 = sqrt(2)*filt1/sum(filt1) +filt2 = rand(1,3); filt2 = sqrt(2)*filt2/sum(filt2) +[pyrr,pindr] = buildLpyr(im,5-imSubSample,filt1,filt2); +showLpyr(pyrr,pindr); +fullresr = reconLpyr(pyrr,pindr,'all',filt2); +imStats(im,fullresr); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%% ALIASING in the Gaussian and Laplacian pyramids: + +%% Unless one is careful, the subsampling operations will introduce aliasing +%% artifacts in these pyramid transforms. This is true even though the +%% Laplacian pyramid can be used to reconstruct the original image perfectly. +%% When reconstructing, the pyramid is designed in such a way that these +%% aliasing artifacts cancel out. So it's not a problem if the only thing we +%% want to do is reconstruct. However, it can be a serious problem if we +%% intend to process each of the subbands independently. + +%% One way to see the consequences of the aliasing artifacts is by +%% examining variations that occur when the input is shifted. We +%% choose an image and shift it by some number of pixels. Then blur +%% (filter-downsample-upsample-filter) the original image and blur the +%% shifted image. If there's no aliasing, then the blur and shift +%% operations should commute (i.e., +%% shift-filter-downsample-upsample-filter is the same as +%% filter-downsample-upsample-filter-shift). Try this for 2 different +%% filters (by replacing 'binom3' with 'binom5' or 'binom7' below), +%% and you'll see that the aliasing is much worse for the 3 tap +%% filter. + +sig = 100*randn([1 16]); +sh = [0 7]; %shift amount +lev = 2; % level of pyramid to look at +flt = 'binom3'; %filter to use: + +shiftIm = shift(sig,sh); +[pyr,pind] = buildLpyr(shiftIm, lev, flt, flt, 'circular'); +shiftBlur = reconLpyr(pyr, pind, lev, flt, 'circular'); + +[pyr,pind] = buildLpyr(sig, lev, flt, flt, 'circular'); +res = reconLpyr(pyr, pind, lev, flt, 'circular'); +blurShift = shift(res,sh); + +subplot(2,1,1); r = showIm(shiftBlur,'auto2','auto','shiftBlur'); +subplot(2,1,2); showIm(blurShift,r,'auto','blurShift'); +imStats(blurShift,shiftBlur); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%% PROJECTION and BASIS functions: + +%% An invertible, linear transform can be characterized in terms +%% of a set of PROJECTION and BASIS functions. In matlab matrix +%% notation: +% +%% c = P' * x +%% x = B * c +% +%% where x is an input, c are the transform coefficients, P and B +%% are matrices. The columns of P are the projection functions (the +%% input is projected onto the the columns of P to get each successive +%% transform coefficient). The columns of B are the basis +%% functions (x is a linear combination of the columns of B). + +%% Since the Laplacian pyramid is a linear transform, we can ask: what +%% are its BASIS functions? We consider these in one dimension for +%% simplicity. The BASIS function corresponding to a given +%% coefficient tells us how much that coefficient contributes to each +%% pixel in the reconstructed image. We can construct a single basis +%% function by setting one sample of one subband equal to 1.0 (and all +%% others to zero) and reconstructing. To build the entire matrix, we +%% have to do this for every sample of every subband: +sz = min(round(48/(sqrt(2)^imSubSample)),36); +sig = zeros(sz,1); +[pyr,pind] = buildLpyr(sig); +basis = zeros(sz,size(pyr,1)); +for n=1:size(pyr,1) + pyr = zeros(size(pyr)); + pyr(n) = 1; + basis(:,n) = reconLpyr(pyr,pind); +end +clf; showIm(basis) + +%% The columns of the basis matrix are the basis functions. The +%% matrix is short and fat, corresponding to the fact that the +%% representation is OVERCOMPLETE. Below, we plot the middle one from +%% each subband, starting with the finest scale. Note that all of +%% these basis functions are lowpass (Gaussian-like) functions. +locations = round(sz * (2 - 3./2.^[1:max(4,size(pind,1))]))+1; +for lev=1:size(locations,2) + subplot(2,2,lev); + showIm(basis(:,locations(lev))); + axis([0 sz 0 1.1]); +end + +%% Now, we'd also like see the inverse (we'll them PROJECTION) +%% functions. We need to ask how much of each sample of the input +%% image contributes to a given pyramid coefficient. Thus, the matrix +%% is constructed by building pyramids on the set of images with +%% impulses at each possible location. The rows of this matrix are +%% the projection functions. +projection = zeros(size(pyr,1),sz); +for pos=1:sz + [pyr,pind] = buildLpyr(mkImpulse([1 sz], [1 pos])); + projection(:,pos) = pyr; +end +clf; showIm(projection); + +%% Building a pyramid corresponds to multiplication by the projection +%% matrix. Reconstructing from this pyramid corresponds to +%% multiplication by the basis matrix. Thus, the product of the two +%% matrices (in this order) should be the identity matrix: +showIm(basis*projection); + +%% We can plot a few example projection functions at different scales. +%% Note that all of the projection functions are bandpass functions, +%% except for the coarsest subband which is lowpass. +for lev=1:size(locations,2) + subplot(2,2,lev); + showIm(projection(locations(lev),:)); + axis([0 sz -0.3 0.8]); +end + +%% Now consider the frequency response of these functions, plotted over the +%% range [-pi,pi]: +for lev=1:size(locations,2) + subplot(2,2,lev); + proj = projection(locations(lev),:); + plot(pi*[-32:31]/32,fftshift(abs(fft(proj',64)))); + axis([-pi pi -0.1 3]); +end + +%% The first projection function is highpass, and the second is bandpass. Both +%% of these look something like the Laplacian (2nd derivative) of a Gaussian. +%% The last is lowpass, as are the basis functions. Thus, the basic operation +%% used to create each level of the pyramid involves a simple highpass/lowpass +%% split. + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%% QMF/WAVELET PYRAMIDS. + +%% Two things about Laplacian pyramids are a bit unsatisfactory. +%% First, there are more pixels (coefficients) in the representation +%% than in the original image. Specifically, the 1-dimensional +%% transform is overcomplete by a factor of 4/3, and the 2-dimensional +%% transform is overcomplete by a factor of 2. Secondly, the +%% "bandpass" images (fineN) do not segregate information according to +%% orientation. + +%% There are other varieties of pyramid. One type that arose in the +%% speech coding community is based on a particular pairs of filters +%% known as a "Quadrature Mirror Filters" or QMFs. These are closely +%% related to Wavelets (essentially, they are approximate wavelet +%% filters). + +%% Recall that the Laplacian pyramid is formed by simple hi/low +%% splitting at each level. The lowpass band is subsampled by a +%% factor of 2, but the highpass band is NOT subsampled. In the QMF +%% pyramid, we apply two filters (hi- and lo- pass) and subsample BOTH +%% by a factor of 2, thus eliminating the excess coefficients of the +%% Laplacian pyramid. + +%% The two filters must have a specific relationship to each +%% other. In particular, let n be an index for the filter samples. +%% The highpass filter may be constructed from the lowpass filter by +%% (1) modulating (multiplying) by (-1)^n (equivalent to shifting by +%% pi in the Fourier domain), (2) flipping (i.e., reversing the order +%% of the taps), (3) spatially shifting by one sample. Try to +%% convince yourself that the resulting filters will always be +%% orthogonal to each other (i.e., their inner products will be zero) +%% when shifted by any multiple of two. + +%% The function modulateFlip performs the first two of these operations. The +%% third (spatial shifting) step is built into the convolution code. +flo = namedFilter('qmf9')'; +fhi = modulateFlip(flo)'; +subplot(2,1,1); lplot(flo); axis([0 10 -0.5 1.0]); title('lowpass'); +subplot(2,1,2); lplot(fhi); axis([0 10 -0.5 1.0]); title('highpass'); + +%% In the Fourier domain, these filters are (approximately) +%% "power-complementary": the sum of their squared power spectra is +%% (approximately) a constant. But note that neither is a perfect +%% bandlimiter (i.e., a sinc function), and thus subsampling by a +%% factor of 2 will cause aliasing in each of the subbands. See below +%% for a discussion of the effect of this aliasing. + +%% Plot the two frequency responses: +freq = pi*[-32:31]/32; +subplot(2,1,1); +plot(freq,fftshift(abs(fft(flo,64))),'--',freq,fftshift(abs(fft(fhi,64))),'-'); +axis([-pi pi 0 1.5]); title('FFT magnitudes'); +subplot(2,1,2); +plot(freq,fftshift(abs(fft(flo,64)).^2)+fftshift(abs(fft(fhi,64)).^2)); +axis([-pi pi 0 2.2]); title('Sum of squared magnitudes'); + +%% We can split an input signal into two bands as follows: +sig = mkFract([1,64],1.6); +subplot(2,1,1); showIm(sig,'auto1','auto','sig'); +lo1 = corrDn(sig,flo,'reflect1',[1 2],[1 1]); +hi1 = corrDn(sig,fhi,'reflect1',[1 2],[1 2]); +subplot(2,1,2); +showIm(lo1,'auto1','auto','low and high bands'); hold on; plot(hi1,'--r'); hold off; + +%% Notice that the two subbands are half the size of the original +%% image, due to the subsampling by a factor of 2. One subtle point: +%% the highpass and lowpass bands are subsampled on different +%% lattices: the lowpass band retains the odd-numbered samples and the +%% highpass band retains the even-numbered samples. This was the +%% 1-sample shift relating the high and lowpass kernels (mentioned +%% above). We've used the 'reflect1' to handle boundaries, which +%% works properly for symmetric odd-length QMFs. + +%% We can reconstruct the original image by interpolating these two subbands +%% USING THE SAME FILTERS: +reconlo = upConv(lo1,flo,'reflect1',[1 2]); +reconhi = upConv(hi1,fhi,'reflect1',[1 2],[1 2]); +subplot(2,1,2); showIm(reconlo+reconhi,'auto1','auto','reconstructed'); +imStats(sig,reconlo+reconhi); + +%% We have described an INVERTIBLE linear transform that maps an input +%% image to the two images lo1 and hi1. The inverse transformation +%% maps these two images to the result. This is depicted graphically +%% with a system diagram: +%% +%% IM ---> flo/down2 --> LO1 --> up2/flo --> add --> RECON +%% | ^ +%% | | +%% | | +%% -> fhi/down2 --> HI1 --> up2/fhi ----- +%% +%% Note that the number of samples in the representation (i.e., total +%% samples in LO1 and HI1) is equal to the number of samples in the +%% original IM. Thus, this representation is exactly COMPLETE, or +%% "critically sampled". + +%% So we've fixed one of the problems that we had with Laplacian +%% pyramid. But the system diagram above places strong constraints on +%% the filters. In particular, for these filters the reconstruction +%% is no longer perfect. Turns out there are NO +%% perfect-reconstruction symmetric filters that are +%% power-complementary, except for the trivial case [1] and the +%% nearly-trivial case [1 1]/sqrt(2). + +%% Let's consider the projection functions of this 2-band splitting +%% operation. We can construct these by applying the transform to +%% impulse input signals, for all possible impulse locations. The +%% rows of the following matrix are the projection functions for each +%% coefficient in the transform. +M = [corrDn(eye(32),flo','circular',[1 2]), ... + corrDn(eye(32),fhi','circular',[1 2],[1 2])]'; +clf; showIm(M,'auto1','auto','M'); + +%% The transform matrix is composed of two sub-matrices. The top half +%% contains the lowpass kernel, shifted by increments of 2 samples. +%% The bottom half contains the highpass. Now we compute the inverse +%% of this matrix: +M_inv = inv(M); +showIm(M_inv,'auto1','auto','M_inv'); + +%% The inverse is (very close to) the transpose of the original +%% matrix! In other words, the transform is orthonormal. +imStats(M_inv',M); + +%% This also points out a nice relationship between the corrDn and +%% upConv functions, and the matrix representation. corrDn is +%% equivalent to multiplication by a matrix with copies of the filter +%% on the ROWS, translated in multiples of the downsampling factor. +%% upConv is equivalent to multiplication by a matrix with copies of +%% the filter on the COLUMNS, translated by the upsampling factor. + +%% As in the Laplacian pyramid, we can recursively apply this QMF +%% band-splitting operation to the lowpass band: +lo2 = corrDn(lo1,flo,'reflect1',[1 2]); +hi2 = corrDn(lo1,fhi,'reflect1',[1 2],[1 2]); + +%% The representation of the original signal is now comprised of the +%% three subbands {hi1, hi2, lo2} (we don't hold onto lo1, because it +%% can be reconstructed from lo2 and hi2). Note that hi1 is at 1/2 +%% resolution, and hi2 and lo2 are at 1/4 resolution: The total number +%% of samples in these three subbands is thus equal to the number of +%% samples in the original signal. +imnames=['hi1'; 'hi2'; 'lo2']; +for bnum=1:3 + band = eval(imnames(bnum,:)); + subplot(3,1,bnum); showIm(band); ylabel(imnames(bnum,:)); + axis([1 size(band,2) 1.1*min(lo2) 1.1*max(lo2)]); +end + +%% Reconstruction proceeds as with the Laplacian pyramid: combine lo2 and hi2 +%% to reconstruct lo1, which is then combined with hi1 to reconstruct the +%% original signal: +recon_lo1 = upConv(hi2,fhi,'reflect1',[1 2],[1 2]) + ... + upConv(lo2,flo,'reflect1',[1 2],[1 1]); +reconstructed = upConv(hi1,fhi,'reflect1',[1 2],[1 2]) + ... + upConv(recon_lo1,flo,'reflect1',[1 2],[1 1]); +imStats(sig,reconstructed); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%% FUNCTIONS for CONSTRUCTING/MANIPULATING QMF/Wavelet PYRAMIDS + +%% To make things easier, we have bundled these qmf operations and +%% data structures into an object in MATLAB. + +sig = mkFract([1 64], 1.5); +[pyr,pind] = buildWpyr(sig); +showWpyr(pyr,pind); + +nbands = size(pind,1); +for b = 1:nbands + subplot(nbands,1,b); lplot(pyrBand(pyr,pind,b)); +end + +res = reconWpyr(pyr,pind); +imStats(sig,res); + +%% Now for 2D, we use separable filters. There are 4 ways to apply the two +%% filters to the input image (followed by the relavent subsampling operation): +%% (1) lowpass in both x and y +%% (2) lowpass in x and highpass in y +%% (3) lowpass in y and highpass in x +%% (4) highpass in both x and y. +%% The pyramid is built by recursively subdividing the first of these bands +%% into four new subbands. + +%% First, we'll take a look at some of the basis functions. +sz = 40; +zim = zeros(sz); +flo = 'qmf9'; edges = 'reflect1'; +[pyr,pind] = buildWpyr(zim); + +% Put an impulse into the middle of each band: +for lev=1:size(pind,1) + mid = sum(prod(pind(1:lev-1,:)')); + mid = mid + floor(pind(lev,2)/2)*pind(lev,1) + floor(pind(lev,1)/2) + 1; + pyr(mid,1) = 1; +end + +% And take a look at the reconstruction of each band: +for lnum=1:wpyrHt(pind)+1 + for bnum=1:3 + subplot(wpyrHt(pind)+1,3,(wpyrHt(pind)+1-lnum)*3+bnum); + showIm(reconWpyr(pyr, pind, flo, edges, lnum, bnum),'auto1',2,0); + end +end + +%% Note that the first column contains horizontally oriented basis functions at +%% different scales. The second contains vertically oriented basis functions. +%% The third contains both diagonals (a checkerboard pattern). The bottom row +%% shows (3 identical images of) a lowpass basis function. + +%% Now look at the corresponding Fourier transform magnitudes (these +%% are plotted over the frequency range [-pi, pi] ): +nextFig(2,1); +freq = 2 * pi * [-sz/2:(sz/2-1)]/sz; +for lnum=1:wpyrHt(pind)+1 + for bnum=1:3 + subplot(wpyrHt(pind)+1,3,(wpyrHt(pind)+1-lnum)*3+bnum); + basisFn = reconWpyr(pyr, pind, flo, edges, lnum, bnum); + basisFmag = fftshift(abs(fft2(basisFn,sz,sz))); + imagesc(freq,freq,basisFmag); + axis('square'); axis('xy'); colormap('gray'); + end +end +nextFig(2,-1); + +%% The filters at a given scale sum to a squarish annular region: +sumSpectra = zeros(sz); +lnum = 2; +for bnum=1:3 + basisFn = reconWpyr(pyr, pind, flo, edges, lnum, bnum); + basisFmag = fftshift(abs(fft2(basisFn,sz,sz))); + sumSpectra = basisFmag.^2 + sumSpectra; +end +clf; imagesc(freq,freq,sumSpectra); axis('square'); axis('xy'); title('one scale'); + +%% Now decompose an image: +[pyr,pind] = buildWpyr(im); + +%% View all of the subbands (except lowpass), scaled to be the same size +%% (requires a big figure window): +nlevs = wpyrHt(pind); +for lnum=1:nlevs + for bnum=1:3 + subplot(nlevs,3,(lnum-1)*3+bnum); + showIm(wpyrBand(pyr,pind,lnum,bnum), 'auto2', 2^(lnum+imSubSample-2)); + end +end + +%% In addition to the bands shown above, there's a lowpass residual: +nextFig(2,1); +clf; showIm(pyrLow(pyr,pind)); +nextFig(2,-1); + +% Alternatively, display the pyramid with the subbands shown at their +% correct relative sizes: +clf; showWpyr(pyr, pind); + +%% The reconWpyr function can be used to reconstruct the entire pyramid: +reconstructed = reconWpyr(pyr,pind); +imStats(im,reconstructed); + +%% As with Laplacian pyramids, you can specify sub-levels and subbands +%% to be included in the reconstruction. For example: +clf +showIm(reconWpyr(pyr,pind,'qmf9','reflect1',[1:wpyrHt(pind)],[1])); %Horizontal only +showIm(reconWpyr(pyr,pind,'qmf9','reflect1',[2,3])); %two middle scales + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%% PERFECT RECONSTRUCTION: HAAR AND DEBAUCHIES WAVELETS + +%% The symmetric QMF filters used above are not perfectly orthogonal. +%% In fact, it's impossible to construct a symmetric filter of size +%% greater than 2 that is perfectly orthogonal to shifted copies +%% (shifted by multiples of 2) of itself. For example, consider a +%% symmetric kernel of length 3. Shift by two and the right end of +%% the original kernel is aligned with the left end of the shifted +%% one. Thus, the inner product of these two will be the square of +%% the end tap, which will be non-zero. + +%% However, one can easily create wavelet filters of length 2 that +%% will do the job. This is the oldest known wavelet, known as the +%% "Haar". The two kernels are [1,1]/sqrt(2) and [1,-1]/sqrt(2). +%% These are trivially seen to be orthogonal to each other, and shifts +%% by multiples of two are also trivially orthogonal. The projection +%% functions of the Haar transform are in the rows of the following +%% matrix, constructed by applying the transform to impulse input +%% signals, for all possible impulse locations: + +haarLo = namedFilter('haar') +haarHi = modulateFlip(haarLo) +subplot(2,1,1); lplot(haarLo); axis([0 3 -1 1]); title('lowpass'); +subplot(2,1,2); lplot(haarHi); axis([0 3 -1 1]); title('highpass'); + +M = [corrDn(eye(32), haarLo, 'reflect1', [2 1], [2 1]); ... + corrDn(eye(32), haarHi, 'reflect1', [2 1], [2 1])]; +clf; showIm(M) +showIm(M*M') %identity! + +%% As before, the filters are power-complementary (although the +%% frequency isolation is rather poor, and thus the subbands will be +%% heavily aliased): +plot(pi*[-32:31]/32,abs(fft(haarLo,64)).^2,'--',... + pi*[-32:31]/32,abs(fft(haarHi,64)).^2,'-'); + +sig = mkFract([1,64],0.5); +[pyr,pind] = buildWpyr(sig,4,'haar','reflect1'); +showWpyr(pyr,pind); + +%% check perfect reconstruction: +res = reconWpyr(pyr,pind, 'haar', 'reflect1'); +imStats(sig,res) + +%% If you want perfect reconstruction, but don't like the Haar +%% transform, there's another option: drop the symmetry requirement. +%% Ingrid Daubechies developed one of the earliest sets of such +%% perfect-reconstruction wavelets. The simplest of these is of +%% length 4: + +daub_lo = namedFilter('daub2'); +daub_hi = modulateFlip(daub_lo); + +%% The daub_lo filter is constructed to be orthogonal to 2shifted +%% copy of itself. For example: +[daub_lo;0;0]'*[0;0;daub_lo] + +M = [corrDn(eye(32), daub_lo, 'circular', [2 1], [2 1]); ... + corrDn(eye(32), daub_hi, 'circular', [2 1], [2 1])]; +clf; showIm(M) +showIm(M*M') % identity! + +%% Again, they're power complementary: +plot(pi*[-32:31]/32,abs(fft(daub_lo,64)).^2,'--',... + pi*[-32:31]/32,abs(fft(daub_hi,64)).^2,'-'); + +%% The sum of the power spectra is again flat +plot(pi*[-32:31]/32,... + fftshift(abs(fft(daub_lo,64)).^2)+fftshift(abs(fft(daub_hi,64)).^2)); + +%% Make a pyramid using the same code as before (except that we can't +%% use reflected boundaries with asymmetric filters): +[pyr,pind] = buildWpyr(sig, maxPyrHt(size(sig),size(daub_lo)), daub_lo, 'circular'); +showWpyr(pyr,pind,'indep1'); + +res = reconWpyr(pyr,pind, daub_lo,'circular'); +imStats(sig,res); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%% ALIASING IN WAVELET TRANSFORMS + +%% All of these orthonormal pyramid/wavelet transforms have a lot +%% of aliasing in the subbands. You can see that in the frequency +%% response plots since the frequency response of each filter +%% covers well more than half the frequency domain. The aliasing +%% can have serious consequences... + +%% Get one of the basis functions of the 2D Daubechies wavelet transform: +[pyr,pind] = buildWpyr(zeros(1,64),4,daub_lo,'circular'); +lev = 3; +pyr(1+sum(pind(1:lev-1,2))+pind(lev,2)/2,1) = 1; +sig = reconWpyr(pyr,pind, daub_lo,'circular'); +clf; lplot(sig) + +%% Since the basis functions are orthonormal, building a pyramid using this +%% input will yield a single non-zero coefficient. +[pyr,pind] = buildWpyr(sig, 4, daub_lo, 'circular'); +figure(1); +nbands = size(pind,1) +for b=1:nbands + subplot(nbands,1,b); lplot(pyrBand(pyr,pind,b)); + axis([1 size(pyrBand(pyr,pind,b),2) -0.3 1.3]); +end + +%% Now shift the input by one sample and re-build the pyramid. +shifted_sig = [0,sig(1:size(sig,2)-1)]; +[spyr,spind] = buildWpyr(shifted_sig, 4, daub_lo, 'circular'); + +%% Plot each band of the unshifted and shifted decomposition +nextFig(2); +nbands = size(spind,1) +for b=1:nbands + subplot(nbands,1,b); lplot(pyrBand(spyr,spind,b)); + axis([1 size(pyrBand(spyr,spind,b),2) -0.3 1.3]); +end +nextFig(2,-1); + +%% In the third band, we expected the coefficients to move around +%% because the signal was shifted. But notice that in the original +%% signal decomposition, the other bands were filled with zeros. +%% After the shift, they have significant content. Although these +%% subbands are supposed to represent information at different scales, +%% their content also depends on the relative POSITION of the input +%% signal. + +%% This problem is not unique to the Daubechies transform. The same +%% is true for the QMF transform. Try it... In fact, the same kind +%% of problem occurs for almost any orthogonal pyramid transform (the +%% only exception is the limiting case in which the filter is a sinc +%% function). + +%% Orthogonal pyramid transforms are not shift-invariant. Although +%% orthogonality may be an important property for some applications +%% (e.g., data compression), orthogonal pyramid transforms are +%% generally not so good for image analysis. + +%% The overcompleteness of the Laplacian pyramid turns out to be a +%% good thing in the end. By using an overcomplete representation +%% (and by choosing the filters properly to avoid aliasing as much as +%% possible), you end up with a representation that is useful for +%% image analysis. + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%% The "STEERABLE PYRAMID" + +%% The steerable pyramid is a multi-scale representation that is +%% translation-invariant, but that also includes representation of +%% orientation. Furthermore, the representation of orientation is +%% designed to be rotation-invariant. The basis/projection functions +%% are oriented (steerable) filters, localized in space and frequency. +%% It is overcomplete to avoid aliasing. And it is "self-inverting" +%% (like the QMF/Wavelet transform): the projection functions and +%% basis functions are identical. The mathematical phrase for a +%% transform obeying this property is "tight frame". + +%% The system diagram for the steerable pyramid (described in the +%% reference given below) is as follows: +% +% IM ---> fhi0 -----------------> H0 ---------------- fhi0 ---> RESULT +% | | +% | | +% |-> flo0 ---> fl1/down2 --> L1 --> up2/fl1 ---> flo0 -| +% | | +% |----> fb0 -----> B0 ----> fb0 ---| +% | | +% |----> fb1 -----> B1 ----> fb1 ---| +% . . +% . . +% |----> fbK -----> BK ----> fbK ---| +% +%% The filters {fhi0,flo0} are used to initially split the image into +%% a highpass residual band H0 and a lowpass subband. This lowpass +%% band is then split into a low(er)pass band L1 and K+1 oriented +%% subbands {B0,B1,...,BK}. The representatation is substantially +%% overcomplete. The pyramid is built by recursively splitting the +%% lowpass band (L1) using the inner portion of the diagram (i.e., +%% using the filters {fl1,fb0,fb1,...,fbK}). The resulting transform is +%% overcomplete by a factor of 4k/3. + +%% The scale tuning of the filters is constrained by the recursive +%% system diagram. The orientation tuning is constrained by requiring +%% the property of steerability. A set of filters form a steerable +%% basis if they 1) are rotated copies of each other, and 2) a copy of +%% the filter at any orientation may be computed as a linear +%% combination of the basis filters. The simplest examples of +%% steerable filters is a set of N+1 Nth-order directional +%% derivatives. + +%% Choose a filter set (options are 'sp0Filters', 'sp1Filters', +%% 'sp3Filters', 'sp5Filters'): +filts = 'sp3Filters'; +[lo0filt,hi0filt,lofilt,bfilts,steermtx,harmonics] = eval(filts); +fsz = round(sqrt(size(bfilts,1))); fsz = [fsz fsz]; +nfilts = size(bfilts,2); +nrows = floor(sqrt(nfilts)); + +%% Look at the oriented bandpass filters: +for f = 1:nfilts + subplot(nrows,ceil(nfilts/nrows),f); + showIm(conv2(reshape(bfilts(:,f),fsz),lo0filt)); +end + +%% Try "steering" to a new orientation (new_ori in degrees): +new_ori = 360*rand(1) +clf; showIm(conv2(reshape(steer(bfilts, new_ori*pi/180 ), fsz), lo0filt)); + +%% Look at Fourier transform magnitudes: +lo0 = fftshift(abs(fft2(lo0filt,64,64))); +fsum = zeros(size(lo0)); +for f = 1:size(bfilts,2) + subplot(nrows,ceil(nfilts/nrows),f); + flt = reshape(bfilts(:,f),fsz); + freq = lo0 .* fftshift(abs(fft2(flt,64,64))); + fsum = fsum + freq.^2; + showIm(freq); +end + +%% The filters sum to a smooth annular ring: +clf; showIm(fsum); + +%% build a Steerable pyramid: +[pyr,pind] = buildSpyr(im, 4-imSubSample, filts); + +%% Look at first (vertical) bands, different scales: +for s = 1:min(4,spyrHt(pind)) + band = spyrBand(pyr,pind,s,1); + subplot(2,2,s); showIm(band); +end + +%% look at all orientation bands at one level (scale): +for b = 1:spyrNumBands(pind) + band = spyrBand(pyr,pind,1,b); + subplot(nrows,ceil(nfilts/nrows),b); + showIm(band); +end + +%% To access the high-pass and low-pass bands: +low = pyrLow(pyr,pind); +showIm(low); +high = spyrHigh(pyr,pind); +showIm(high); + +%% Display the whole pyramid (except for the highpass residual band), +%% with images shown at proper relative sizes: +showSpyr(pyr,pind); + +%% Spin a level of the pyramid, interpolating (steering to) +%% intermediate orienations: + +[lev,lind] = spyrLev(pyr,pind,2); +lev2 = reshape(lev,prod(lind(1,:)),size(bfilts,2)); +figure(1); subplot(1,1,1); showIm(spyrBand(pyr,pind,2,1)); +M = moviein(16); +for frame = 1:16 + steered_im = steer(lev2, 2*pi*(frame-1)/16, harmonics, steermtx); + showIm(reshape(steered_im, lind(1,:)),'auto2'); + M(:,frame) = getframe; +end + +%% Show the movie 3 times: +movie(M,3); + +%% Reconstruct. Note that the filters are not perfect, although they are good +%% enough for most applications. +res = reconSpyr(pyr, pind, filts); +showIm(im + i * res); +imStats(im,res); + +%% As with previous pyramids, you can select subsets of the levels +%% and orientation bands to be included in the reconstruction. For example: + +%% All levels (including highpass and lowpass residuals), one orientation: +clf; showIm(reconSpyr(pyr,pind,filts,'reflect1','all', [1])); + +%% Without the highpass and lowpass: +clf; showIm(reconSpyr(pyr,pind,filts,'reflect1',[1:spyrHt(pind)], [1])); + +%% We also provide an implementation of the Steerable pyramid in the +%% Frequency domain. The advantages are perfect-reconstruction +%% (within floating-point error), and any number of orientation +%% bands. The disadvantages are that it is typically slower, and the +%% boundary handling is always circular. + +[pyr,pind] = buildSFpyr(im,4,4); % 4 levels, 5 orientation bands +showSpyr(pyr,pind); +res = reconSFpyr(pyr,pind); +imStats(im,res); % nearly perfect + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% The steerable pyramid transform given above is described in: +% +% E P Simoncelli and W T Freeman. +% The Steerable Pyramid: A Flexible Architecture for Multi-Scale +% Derivative Computation. IEEE Second Int'l Conf on Image Processing. +% Washington DC, October 1995. +% +% Online access: +% Abstract: http://www.cis.upenn.edu/~eero/ABSTRACTS/simoncelli95b-abstract.html +% Full (PostScript): ftp://ftp.cis.upenn.edu/pub/eero/simoncelli95b.ps.Z +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%% Local Variables: +%% buffer-read-only: t +%% End: diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/binomialFilter.m b/matlab/external/gptoolbox/external/matlabPyrTools/binomialFilter.m new file mode 100644 index 0000000..e5670c7 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/binomialFilter.m @@ -0,0 +1,18 @@ +% KERNEL = binomialFilter(size) +% +% Returns a vector of binomial coefficients of order (size-1) . + +% Eero Simoncelli, 2/97. + +function [kernel] = binomialFilter(sz) + +if (sz < 2) + error('size argument must be larger than 1'); +end + +kernel = [0.5 0.5]'; + +for n=1:sz-2 + kernel = conv([0.5 0.5]', kernel); +end + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/blur.m b/matlab/external/gptoolbox/external/matlabPyrTools/blur.m new file mode 100644 index 0000000..fccb103 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/blur.m @@ -0,0 +1,67 @@ +% RES = blur(IM, LEVELS, FILT) +% +% Blur an image, by filtering and downsampling LEVELS times +% (default=1), followed by upsampling and filtering LEVELS times. The +% blurring is done with filter kernel specified by FILT (default = +% 'binom5'), which can be a string (to be passed to namedFilter), a +% vector (applied separably as a 1D convolution kernel in X and Y), or +% a matrix (applied as a 2D convolution kernel). The downsampling is +% always by 2 in each direction. + +% Eero Simoncelli, 3/04. + +function res = blur(im, nlevs, filt) + +%------------------------------------------------------------ +%% OPTIONAL ARGS: + +if (exist('nlevs') ~= 1) + nlevs = 1; +end + +if (exist('filt') ~= 1) + filt = 'binom5'; +end + +%------------------------------------------------------------ + +if isstr(filt) + filt = namedFilter(filt); +end + +filt = filt/sum(filt(:)); + +if nlevs > 0 + if (any(size(im)==1)) + if (~any(size(filt)==1)) + error('Cant apply 2D filter to 1D signal'); + end + if (size(im,2)==1) + filt = filt(:); + else + filt = filt(:)'; + end + + in = corrDn(im,filt,'reflect1',(size(im)~=1)+1); + out = blur(in, nlevs-1, filt); + res = upConv(out, filt, 'reflect1', (size(im)~=1)+1, [1 1], size(im)); + + elseif (any(size(filt)==1)) + filt = filt(:); + + in = corrDn(im,filt,'reflect1',[2 1]); + in = corrDn(in,filt','reflect1',[1 2]); + out = blur(in, nlevs-1, filt); + res = upConv(out, filt', 'reflect1', [1 2], [1 1], [size(out,1),size(im,2)]); + res = upConv(res, filt, 'reflect1', [2 1], [1 1], size(im)); + + else + + in = corrDn(im,filt,'reflect1',[2 2]); + out = blur(in, nlevs-1, filt); + res = upConv(out, filt, 'reflect1', [2 2], [1 1], size(im)); + end +else + res = im; +end + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/blurDn.m b/matlab/external/gptoolbox/external/matlabPyrTools/blurDn.m new file mode 100644 index 0000000..8120c04 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/blurDn.m @@ -0,0 +1,59 @@ +% RES = blurDn(IM, LEVELS, FILT) +% +% Blur and downsample an image. The blurring is done with filter +% kernel specified by FILT (default = 'binom5'), which can be a string +% (to be passed to namedFilter), a vector (applied separably as a 1D +% convolution kernel in X and Y), or a matrix (applied as a 2D +% convolution kernel). The downsampling is always by 2 in each +% direction. +% +% The procedure is applied recursively LEVELS times (default=1). + +% Eero Simoncelli, 3/97. + +function res = blurDn(im, nlevs, filt) + +%------------------------------------------------------------ +%% OPTIONAL ARGS: + +if (exist('nlevs') ~= 1) + nlevs = 1; +end + +if (exist('filt') ~= 1) + filt = 'binom5'; +end + +%------------------------------------------------------------ + +if isstr(filt) + filt = namedFilter(filt); +end + +filt = filt/sum(filt(:)); + +if nlevs > 1 + im = blurDn(im,nlevs-1,filt); +end + +if (nlevs >= 1) + if (any(size(im)==1)) + if (~any(size(filt)==1)) + error('Cant apply 2D filter to 1D signal'); + end + if (size(im,2)==1) + filt = filt(:); + else + filt = filt(:)'; + end + res = corrDn(im,filt,'reflect1',(size(im)~=1)+1); + elseif (any(size(filt)==1)) + filt = filt(:); + res = corrDn(im,filt,'reflect1',[2 1]); + res = corrDn(res,filt','reflect1',[1 2]); + else + res = corrDn(im,filt,'reflect1',[2 2]); + end +else + res = im; +end diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/buildGpyr.m b/matlab/external/gptoolbox/external/matlabPyrTools/buildGpyr.m new file mode 100644 index 0000000..3f3d07b --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/buildGpyr.m @@ -0,0 +1,82 @@ +% [PYR, INDICES] = buildGpyr(IM, HEIGHT, FILT, EDGES) +% +% Construct a Gaussian pyramid on matrix IM. +% +% HEIGHT (optional) specifies the number of pyramid levels to build. Default +% is 1+maxPyrHt(size(IM),size(FILT)). +% You can also specify 'auto' to use this value. +% +% FILT (optional) can be a string naming a standard filter (see +% namedFilter), or a vector which will be used for (separable) +% convolution. Default = 'binom5'. EDGES specifies edge-handling, and +% defaults to 'reflect1' (see corrDn). +% +% PYR is a vector containing the N pyramid subbands, ordered from fine +% to coarse. INDICES is an Nx2 matrix containing the sizes of +% each subband. This is compatible with the MatLab Wavelet toolbox. + +% Eero Simoncelli, 6/96. + +function [pyr,pind] = buildGpyr(im, ht, filt, edges) + +if (nargin < 1) + error('First argument (IM) is required'); +end + +im_sz = size(im); + +%------------------------------------------------------------ +%% OPTIONAL ARGS: + +if (exist('filt') ~= 1) + filt = 'binom5'; +end + +if isstr(filt) + filt = namedFilter(filt); +end + +if ( (size(filt,1) > 1) & (size(filt,2) > 1) ) + error('FILT should be a 1D filter (i.e., a vector)'); +else + filt = filt(:); +end + +max_ht = 1 + maxPyrHt(im_sz, size(filt,1)); +if ( (exist('ht') ~= 1) | (ht == 'auto') ) + ht = max_ht; +else + if (ht > max_ht) + error(sprintf('Cannot build pyramid higher than %d levels.',max_ht)); + end +end + +if (exist('edges') ~= 1) + edges= 'reflect1'; +end + +%------------------------------------------------------------ + +if (ht <= 1) + + pyr = im(:); + pind = im_sz; + +else + + if (im_sz(2) == 1) + lo2 = corrDn(im, filt, edges, [2 1], [1 1]); + elseif (im_sz(1) == 1) + lo2 = corrDn(im, filt', edges, [1 2], [1 1]); + else + lo = corrDn(im, filt', edges, [1 2], [1 1]); + lo2 = corrDn(lo, filt, edges, [2 1], [1 1]); + end + + [npyr,nind] = buildGpyr(lo2, ht-1, filt, edges); + + pyr = [im(:); npyr]; + pind = [im_sz; nind]; + +end + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/buildLpyr.m b/matlab/external/gptoolbox/external/matlabPyrTools/buildLpyr.m new file mode 100644 index 0000000..facb0f3 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/buildLpyr.m @@ -0,0 +1,109 @@ +% [PYR, INDICES] = buildLpyr(IM, HEIGHT, FILT1, FILT2, EDGES) +% +% Construct a Laplacian pyramid on matrix (or vector) IM. +% +% HEIGHT (optional) specifies the number of pyramid levels to build. Default +% is 1+maxPyrHt(size(IM),size(FILT)). You can also specify 'auto' to +% use this value. +% +% FILT1 (optional) can be a string naming a standard filter (see +% namedFilter), or a vector which will be used for (separable) +% convolution. Default = 'binom5'. FILT2 specifies the "expansion" +% filter (default = filt1). EDGES specifies edge-handling, and +% defaults to 'reflect1' (see corrDn). +% +% PYR is a vector containing the N pyramid subbands, ordered from fine +% to coarse. INDICES is an Nx2 matrix containing the sizes of +% each subband. This is compatible with the MatLab Wavelet toolbox. + +% Eero Simoncelli, 6/96. + +function [pyr,pind] = buildLpyr(im, ht, filt1, filt2, edges) + +if (nargin < 1) + error('First argument (IM) is required'); +end + +im_sz = size(im); + +%------------------------------------------------------------ +%% OPTIONAL ARGS: + +if (exist('filt1') ~= 1) + filt1 = 'binom5'; +end + +if isstr(filt1) + filt1 = namedFilter(filt1); +end + +if ( (size(filt1,1) > 1) & (size(filt1,2) > 1) ) + error('FILT1 should be a 1D filter (i.e., a vector)'); +else + filt1 = filt1(:); +end + +if (exist('filt2') ~= 1) + filt2 = filt1; +end + +if isstr(filt2) + filt2 = namedFilter(filt2); +end + +if ( (size(filt2,1) > 1) & (size(filt2,2) > 1) ) + error('FILT2 should be a 1D filter (i.e., a vector)'); +else + filt2 = filt2(:); +end + +max_ht = 1 + maxPyrHt(im_sz, max(size(filt1,1), size(filt2,1))); +if ( (exist('ht') ~= 1) | (ht == 'auto') ) + ht = max_ht; +else + if (ht > max_ht) + error(sprintf('Cannot build pyramid higher than %d levels.',max_ht)); + end +end + +if (exist('edges') ~= 1) + edges= 'reflect1'; +end + +%------------------------------------------------------------ + +if (ht <= 1) + + pyr = im(:); + pind = im_sz; + +else + + if (im_sz(2) == 1) + lo2 = corrDn(im, filt1, edges, [2 1], [1 1]); + elseif (im_sz(1) == 1) + lo2 = corrDn(im, filt1', edges, [1 2], [1 1]); + else + lo = corrDn(im, filt1', edges, [1 2], [1 1]); + int_sz = size(lo); + lo2 = corrDn(lo, filt1, edges, [2 1], [1 1]); + end + + [npyr,nind] = buildLpyr(lo2, ht-1, filt1, filt2, edges); + + if (im_sz(1) == 1) + hi2 = upConv(lo2, filt2', edges, [1 2], [1 1], im_sz); + elseif (im_sz(2) == 1) + hi2 = upConv(lo2, filt2, edges, [2 1], [1 1], im_sz); + else + hi = upConv(lo2, filt2, edges, [2 1], [1 1], int_sz); + hi2 = upConv(hi, filt2', edges, [1 2], [1 1], im_sz); + end + + hi2 = im - hi2; + + pyr = [hi2(:); npyr]; + pind = [im_sz; nind]; + +end + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/buildSCFpyr.m b/matlab/external/gptoolbox/external/matlabPyrTools/buildSCFpyr.m new file mode 100644 index 0000000..101b6d2 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/buildSCFpyr.m @@ -0,0 +1,90 @@ +% [PYR, INDICES, STEERMTX, HARMONICS] = buildSCFpyr(IM, HEIGHT, ORDER, TWIDTH) +% +% This is a modified version of buildSFpyr, that constructs a +% complex-valued steerable pyramid using Hilbert-transform pairs +% of filters. Note that the imaginary parts will *not* be steerable. +% +% To reconstruct from this representation, either call reconSFpyr +% on the real part of the pyramid, *or* call reconSCFpyr which will +% use both real and imaginary parts (forcing analyticity). +% +% Description of this transform appears in: Portilla & Simoncelli, +% Int'l Journal of Computer Vision, 40(1):49-71, Oct 2000. +% Further information: http://www.cns.nyu.edu/~eero/STEERPYR/ + +% Original code: Eero Simoncelli, 5/97. +% Modified by Javier Portilla to return complex (quadrature pair) channels, +% 9/97. + +function [pyr,pind,steermtx,harmonics] = buildSCFpyr(im, ht, order, twidth) + +%----------------------------------------------------------------- +%% DEFAULTS: + +max_ht = floor(log2(min(size(im)))) - 2; + +if (exist('ht') ~= 1) + ht = max_ht; +else + if (ht > max_ht) + error(sprintf('Cannot build pyramid higher than %d levels.',max_ht)); + end +end + +if (exist('order') ~= 1) + order = 3; +elseif ((order > 15) | (order < 0)) + fprintf(1,'Warning: ORDER must be an integer in the range [0,15]. Truncating.\n'); + order = min(max(order,0),15); +else + order = round(order); +end +nbands = order+1; + +if (exist('twidth') ~= 1) + twidth = 1; +elseif (twidth <= 0) + fprintf(1,'Warning: TWIDTH must be positive. Setting to 1.\n'); + twidth = 1; +end + +%----------------------------------------------------------------- +%% Steering stuff: + +if (mod((nbands),2) == 0) + harmonics = [0:(nbands/2)-1]'*2 + 1; +else + harmonics = [0:(nbands-1)/2]'*2; +end + +steermtx = steer2HarmMtx(harmonics, pi*[0:nbands-1]/nbands, 'even'); + +%----------------------------------------------------------------- + +dims = size(im); +ctr = ceil((dims+0.5)/2); + +[xramp,yramp] = meshgrid( ([1:dims(2)]-ctr(2))./(dims(2)/2), ... + ([1:dims(1)]-ctr(1))./(dims(1)/2) ); +angle = atan2(yramp,xramp); +log_rad = sqrt(xramp.^2 + yramp.^2); +log_rad(ctr(1),ctr(2)) = log_rad(ctr(1),ctr(2)-1); +log_rad = log2(log_rad); + +%% Radial transition function (a raised cosine in log-frequency): +[Xrcos,Yrcos] = rcosFn(twidth,(-twidth/2),[0 1]); +Yrcos = sqrt(Yrcos); + +YIrcos = sqrt(1.0 - Yrcos.^2); +lo0mask = pointOp(log_rad, YIrcos, Xrcos(1), Xrcos(2)-Xrcos(1), 0); +imdft = fftshift(fft2(im)); +lo0dft = imdft .* lo0mask; + +[pyr,pind] = buildSCFpyrLevs(lo0dft, log_rad, Xrcos, Yrcos, angle, ht, nbands); + +hi0mask = pointOp(log_rad, Yrcos, Xrcos(1), Xrcos(2)-Xrcos(1), 0); +hi0dft = imdft .* hi0mask; +hi0 = ifft2(ifftshift(hi0dft)); + +pyr = [real(hi0(:)) ; pyr]; +pind = [size(hi0); pind]; diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/buildSCFpyrLevs.m b/matlab/external/gptoolbox/external/matlabPyrTools/buildSCFpyrLevs.m new file mode 100644 index 0000000..bd75695 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/buildSCFpyrLevs.m @@ -0,0 +1,73 @@ +% [PYR, INDICES] = buildSCFpyrLevs(LODFT, LOGRAD, XRCOS, YRCOS, ANGLE, HEIGHT, NBANDS) +% +% Recursive function for constructing levels of a steerable pyramid. This +% is called by buildSCFpyr, and is not usually called directly. + +% Original code: Eero Simoncelli, 5/97. +% Modified by Javier Portilla to generate complex bands in 9/97. + +function [pyr,pind] = buildSCFpyrLevs(lodft,log_rad,Xrcos,Yrcos,angle,ht,nbands); + +if (ht <= 0) + + lo0 = ifft2(ifftshift(lodft)); + pyr = real(lo0(:)); + pind = size(lo0); + +else + + bands = zeros(prod(size(lodft)), nbands); + bind = zeros(nbands,2); + +% log_rad = log_rad + 1; + Xrcos = Xrcos - log2(2); % shift origin of lut by 1 octave. + + lutsize = 1024; + Xcosn = pi*[-(2*lutsize+1):(lutsize+1)]/lutsize; % [-2*pi:pi] + order = nbands-1; + %% divide by sqrt(sum_(n=0)^(N-1) cos(pi*n/N)^(2(N-1)) ) + %% Thanks to Patrick Teo for writing this out :) + const = (2^(2*order))*(factorial(order)^2)/(nbands*factorial(2*order)); + +% +% Ycosn = sqrt(const) * (cos(Xcosn)).^order; +% + % analityc version: only take one lobe + alfa= mod(pi+Xcosn,2*pi)-pi; + Ycosn = 2*sqrt(const) * (cos(Xcosn).^order) .* (abs(alfa) max_ht) + error(sprintf('Cannot build pyramid higher than %d levels.',max_ht)); + end +end + +if (exist('order') ~= 1) + order = 3; +elseif ((order > 15) | (order < 0)) + fprintf(1,'Warning: ORDER must be an integer in the range [0,15]. Truncating.\n'); + order = min(max(order,0),15); +else + order = round(order); +end +nbands = order+1; + +if (exist('twidth') ~= 1) + twidth = 1; +elseif (twidth <= 0) + fprintf(1,'Warning: TWIDTH must be positive. Setting to 1.\n'); + twidth = 1; +end + +%----------------------------------------------------------------- +%% Steering stuff: + +if (mod((nbands),2) == 0) + harmonics = [0:(nbands/2)-1]'*2 + 1; +else + harmonics = [0:(nbands-1)/2]'*2; +end + +steermtx = steer2HarmMtx(harmonics, pi*[0:nbands-1]/nbands, 'even'); + +%----------------------------------------------------------------- + +dims = size(im); +ctr = ceil((dims+0.5)/2); + +[xramp,yramp] = meshgrid( ([1:dims(2)]-ctr(2))./(dims(2)/2), ... + ([1:dims(1)]-ctr(1))./(dims(1)/2) ); +angle = atan2(yramp,xramp); +log_rad = sqrt(xramp.^2 + yramp.^2); +log_rad(ctr(1),ctr(2)) = log_rad(ctr(1),ctr(2)-1); +log_rad = log2(log_rad); + +%% Radial transition function (a raised cosine in log-frequency): +[Xrcos,Yrcos] = rcosFn(twidth,(-twidth/2),[0 1]); +Yrcos = sqrt(Yrcos); + +YIrcos = sqrt(1.0 - Yrcos.^2); +lo0mask = pointOp(log_rad, YIrcos, Xrcos(1), Xrcos(2)-Xrcos(1), 0); +imdft = fftshift(fft2(im)); +lo0dft = imdft .* lo0mask; + +[pyr,pind] = buildSFpyrLevs(lo0dft, log_rad, Xrcos, Yrcos, angle, ht, nbands); + +hi0mask = pointOp(log_rad, Yrcos, Xrcos(1), Xrcos(2)-Xrcos(1), 0); +hi0dft = imdft .* hi0mask; +hi0 = ifft2(ifftshift(hi0dft)); + +pyr = [real(hi0(:)) ; pyr]; +pind = [size(hi0); pind]; diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/buildSFpyrLevs.m b/matlab/external/gptoolbox/external/matlabPyrTools/buildSFpyrLevs.m new file mode 100644 index 0000000..ad2c8de --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/buildSFpyrLevs.m @@ -0,0 +1,63 @@ +% [PYR, INDICES] = buildSFpyrLevs(LODFT, LOGRAD, XRCOS, YRCOS, ANGLE, HEIGHT, NBANDS) +% +% Recursive function for constructing levels of a steerable pyramid. This +% is called by buildSFpyr, and is not usually called directly. + +% Eero Simoncelli, 5/97. + +function [pyr,pind] = buildSFpyrLevs(lodft,log_rad,Xrcos,Yrcos,angle,ht,nbands); + +if (ht <= 0) + + lo0 = ifft2(ifftshift(lodft)); + pyr = real(lo0(:)); + pind = size(lo0); + +else + + bands = zeros(prod(size(lodft)), nbands); + bind = zeros(nbands,2); + +% log_rad = log_rad + 1; + Xrcos = Xrcos - log2(2); % shift origin of lut by 1 octave. + + lutsize = 1024; + Xcosn = pi*[-(2*lutsize+1):(lutsize+1)]/lutsize; % [-2*pi:pi] + order = nbands-1; + %% divide by sqrt(sum_(n=0)^(N-1) cos(pi*n/N)^(2(N-1)) ) + %% Thanks to Patrick Teo for writing this out :) + const = (2^(2*order))*(factorial(order)^2)/(nbands*factorial(2*order)); + Ycosn = sqrt(const) * (cos(Xcosn)).^order; + himask = pointOp(log_rad, Yrcos, Xrcos(1), Xrcos(2)-Xrcos(1), 0); + + for b = 1:nbands + anglemask = pointOp(angle, Ycosn, Xcosn(1)+pi*(b-1)/nbands, Xcosn(2)-Xcosn(1)); + banddft = ((-sqrt(-1))^order) .* lodft .* anglemask .* himask; + band = ifft2(ifftshift(banddft)); + + bands(:,b) = real(band(:)); + bind(b,:) = size(band); + end + + dims = size(lodft); + ctr = ceil((dims+0.5)/2); + lodims = ceil((dims-0.5)/2); + loctr = ceil((lodims+0.5)/2); + lostart = ctr-loctr+1; + loend = lostart+lodims-1; + + log_rad = log_rad(lostart(1):loend(1),lostart(2):loend(2)); + angle = angle(lostart(1):loend(1),lostart(2):loend(2)); + lodft = lodft(lostart(1):loend(1),lostart(2):loend(2)); + YIrcos = abs(sqrt(1.0 - Yrcos.^2)); + lomask = pointOp(log_rad, YIrcos, Xrcos(1), Xrcos(2)-Xrcos(1), 0); + + lodft = lomask .* lodft; + + [npyr,nind] = buildSFpyrLevs(lodft, log_rad, Xrcos, Yrcos, angle, ht-1, nbands); + + pyr = [bands(:); npyr]; + pind = [bind; nind]; + +end + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/buildSpyr.m b/matlab/external/gptoolbox/external/matlabPyrTools/buildSpyr.m new file mode 100644 index 0000000..dffc714 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/buildSpyr.m @@ -0,0 +1,62 @@ +% [PYR, INDICES, STEERMTX, HARMONICS] = buildSpyr(IM, HEIGHT, FILTFILE, EDGES) +% +% Construct a steerable pyramid on matrix IM. Convolutions are +% done with spatial filters. +% +% HEIGHT (optional) specifies the number of pyramid levels to build. Default +% is maxPyrHt(size(IM),size(FILT)). +% You can also specify 'auto' to use this value. +% +% FILTFILE (optional) should be a string referring to an m-file that +% returns the rfilters. (examples: 'sp0Filters', 'sp1Filters', +% 'sp3Filters','sp5Filters'. default = 'sp1Filters'). EDGES specifies +% edge-handling, and defaults to 'reflect1' (see corrDn). +% +% PYR is a vector containing the N pyramid subbands, ordered from fine +% to coarse. INDICES is an Nx2 matrix containing the sizes of +% each subband. This is compatible with the MatLab Wavelet toolbox. +% See the function STEER for a description of STEERMTX and HARMONICS. + +% Eero Simoncelli, 6/96. +% See http://www.cis.upenn.edu/~eero/steerpyr.html for more +% information about the Steerable Pyramid image decomposition. + +function [pyr,pind,steermtx,harmonics] = buildSpyr(im, ht, filtfile, edges) + +%----------------------------------------------------------------- +%% DEFAULTS: + +if (exist('filtfile') ~= 1) + filtfile = 'sp1Filters'; +end + +if (exist('edges') ~= 1) + edges= 'reflect1'; +end + +if (isstr(filtfile) & (exist(filtfile) == 2)) + [lo0filt,hi0filt,lofilt,bfilts,steermtx,harmonics] = eval(filtfile); +else + fprintf(1,'\nUse buildSFpyr for pyramids with arbitrary numbers of orientation bands.\n'); + error('FILTFILE argument must be the name of an M-file containing SPYR filters.'); +end + +max_ht = maxPyrHt(size(im), size(lofilt,1)); +if ( (exist('ht') ~= 1) | (ht == 'auto') ) + ht = max_ht; +else + if (ht > max_ht) + error(sprintf('Cannot build pyramid higher than %d levels.',max_ht)); + end +end + +%----------------------------------------------------------------- + +hi0 = corrDn(im, hi0filt, edges); +lo0 = corrDn(im, lo0filt, edges); + +[pyr,pind] = buildSpyrLevs(lo0, ht, lofilt, bfilts, edges); + +pyr = [hi0(:) ; pyr]; +pind = [size(hi0); pind]; + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/buildSpyrLevs.m b/matlab/external/gptoolbox/external/matlabPyrTools/buildSpyrLevs.m new file mode 100644 index 0000000..4c00077 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/buildSpyrLevs.m @@ -0,0 +1,37 @@ +% [PYR, INDICES] = buildSpyrLevs(LOIM, HEIGHT, LOFILT, BFILTS, EDGES) +% +% Recursive function for constructing levels of a steerable pyramid. This +% is called by buildSpyr, and is not usually called directly. + +% Eero Simoncelli, 6/96. + +function [pyr,pind] = buildSpyrLevs(lo0,ht,lofilt,bfilts,edges); + +if (ht <= 0) + + pyr = lo0(:); + pind = size(lo0); + +else + + % Assume square filters: + bfiltsz = round(sqrt(size(bfilts,1))); + + bands = zeros(prod(size(lo0)),size(bfilts,2)); + bind = zeros(size(bfilts,2),2); + + for b = 1:size(bfilts,2) + filt = reshape(bfilts(:,b),bfiltsz,bfiltsz); + band = corrDn(lo0, filt, edges); + bands(:,b) = band(:); + bind(b,:) = size(band); + end + + lo = corrDn(lo0, lofilt, edges, [2 2], [1 1]); + + [npyr,nind] = buildSpyrLevs(lo, ht-1, lofilt, bfilts, edges); + + pyr = [bands(:); npyr]; + pind = [bind; nind]; + +end diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/buildWpyr.m b/matlab/external/gptoolbox/external/matlabPyrTools/buildWpyr.m new file mode 100644 index 0000000..26a8704 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/buildWpyr.m @@ -0,0 +1,100 @@ +% [PYR, INDICES] = buildWpyr(IM, HEIGHT, FILT, EDGES) +% +% Construct a separable orthonormal QMF/wavelet pyramid on matrix (or vector) IM. +% +% HEIGHT (optional) specifies the number of pyramid levels to build. Default +% is maxPyrHt(IM,FILT). You can also specify 'auto' to use this value. +% +% FILT (optional) can be a string naming a standard filter (see +% namedFilter), or a vector which will be used for (separable) +% convolution. Filter can be of even or odd length, but should be symmetric. +% Default = 'qmf9'. EDGES specifies edge-handling, and +% defaults to 'reflect1' (see corrDn). +% +% PYR is a vector containing the N pyramid subbands, ordered from fine +% to coarse. INDICES is an Nx2 matrix containing the sizes of +% each subband. This is compatible with the MatLab Wavelet toolbox. + +% Eero Simoncelli, 6/96, based on original lisp code from 1987. + +function [pyr,pind] = buildWpyr(im, ht, filt, edges) + +if (nargin < 1) + error('First argument (IM) is required'); +end + +%------------------------------------------------------------ +%% OPTIONAL ARGS: + +if (exist('filt') ~= 1) + filt = 'qmf9'; +end + +if (exist('edges') ~= 1) + edges= 'reflect1'; +end + +if isstr(filt) + filt = namedFilter(filt); +end + +if ( (size(filt,1) > 1) & (size(filt,2) > 1) ) + error('FILT should be a 1D filter (i.e., a vector)'); +else + filt = filt(:); +end + +hfilt = modulateFlip(filt); + +% Stagger sampling if filter is odd-length: +if (mod(size(filt,1),2) == 0) + stag = 2; +else + stag = 1; +end + +im_sz = size(im); + +max_ht = maxPyrHt(im_sz, size(filt,1)); +if ( (exist('ht') ~= 1) | (ht == 'auto') ) + ht = max_ht; +else + if (ht > max_ht) + error(sprintf('Cannot build pyramid higher than %d levels.',max_ht)); + end +end + +if (ht <= 0) + + pyr = im(:); + pind = im_sz; + +else + + if (im_sz(2) == 1) + lolo = corrDn(im, filt, edges, [2 1], [stag 1]); + hihi = corrDn(im, hfilt, edges, [2 1], [2 1]); + elseif (im_sz(1) == 1) + lolo = corrDn(im, filt', edges, [1 2], [1 stag]); + hihi = corrDn(im, hfilt', edges, [1 2], [1 2]); + else + lo = corrDn(im, filt, edges, [2 1], [stag 1]); + hi = corrDn(im, hfilt, edges, [2 1], [2 1]); + lolo = corrDn(lo, filt', edges, [1 2], [1 stag]); + lohi = corrDn(hi, filt', edges, [1 2], [1 stag]); % horizontal + hilo = corrDn(lo, hfilt', edges, [1 2], [1 2]); % vertical + hihi = corrDn(hi, hfilt', edges, [1 2], [1 2]); % diagonal + end + + [npyr,nind] = buildWpyr(lolo, ht-1, filt, edges); + + if ((im_sz(1) == 1) | (im_sz(2) == 1)) + pyr = [hihi(:); npyr]; + pind = [size(hihi); nind]; + else + pyr = [lohi(:); hilo(:); hihi(:); npyr]; + pind = [size(lohi); size(hilo); size(hihi); nind]; + end + +end + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/cconv2.m b/matlab/external/gptoolbox/external/matlabPyrTools/cconv2.m new file mode 100644 index 0000000..efba438 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/cconv2.m @@ -0,0 +1,50 @@ +% RES = CCONV2(MTX1, MTX2, CTR) +% +% Circular convolution of two matrices. Result will be of size of +% LARGER vector. +% +% The origin of the smaller matrix is assumed to be its center. +% For even dimensions, the origin is determined by the CTR (optional) +% argument: +% CTR origin +% 0 DIM/2 (default) +% 1 (DIM/2)+1 + +% Eero Simoncelli, 6/96. Modified 2/97. + +function c = cconv2(a,b,ctr) + +if (exist('ctr') ~= 1) + ctr = 0; +end + +if (( size(a,1) >= size(b,1) ) & ( size(a,2) >= size(b,2) )) + large = a; small = b; +elseif (( size(a,1) <= size(b,1) ) & ( size(a,2) <= size(b,2) )) + large = b; small = a; +else + error('one arg must be larger than the other in both dimensions!'); +end + +ly = size(large,1); +lx = size(large,2); +sy = size(small,1); +sx = size(small,2); + +%% These values are the index of the small mtx that falls on the +%% border pixel of the large matrix when computing the first +%% convolution response sample: +sy2 = floor((sy+ctr+1)/2); +sx2 = floor((sx+ctr+1)/2); + +% pad: +clarge = [ ... + large(ly-sy+sy2+1:ly,lx-sx+sx2+1:lx), large(ly-sy+sy2+1:ly,:), ... + large(ly-sy+sy2+1:ly,1:sx2-1); ... + large(:,lx-sx+sx2+1:lx), large, large(:,1:sx2-1); ... + large(1:sy2-1,lx-sx+sx2+1:lx), ... + large(1:sy2-1,:), ... + large(1:sy2-1,1:sx2-1) ]; + +c = conv2(clarge,small,'valid'); + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/clip.m b/matlab/external/gptoolbox/external/matlabPyrTools/clip.m new file mode 100644 index 0000000..28804f3 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/clip.m @@ -0,0 +1,32 @@ +% [RES] = clip(IM, MINVALorRANGE, MAXVAL) +% +% Clip values of matrix IM to lie between minVal and maxVal: +% RES = max(min(IM,MAXVAL),MINVAL) +% The first argument can also specify both min and max, as a 2-vector. +% If only one argument is passed, the range defaults to [0,1]. + +function res = clip(im, minValOrRange, maxVal) + +if (exist('minValOrRange') ~= 1) + minVal = 0; + maxVal = 1; +elseif (length(minValOrRange) == 2) + minVal = minValOrRange(1); + maxVal = minValOrRange(2); +elseif (length(minValOrRange) == 1) + minVal = minValOrRange; + if (exist('maxVal') ~= 1) + maxVal=minVal+1; + end +else + error('MINVAL must be a scalar or a 2-vector'); +end + +if ( maxVal < minVal ) + error('MAXVAL should be less than MINVAL'); +end + +res = im; +res(find(im < minVal)) = minVal; +res(find(im > maxVal)) = maxVal; + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/corrDn.m b/matlab/external/gptoolbox/external/matlabPyrTools/corrDn.m new file mode 100644 index 0000000..51c2978 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/corrDn.m @@ -0,0 +1,63 @@ +% RES = corrDn(IM, FILT, EDGES, STEP, START, STOP) +% +% Compute correlation of matrices IM with FILT, followed by +% downsampling. These arguments should be 1D or 2D matrices, and IM +% must be larger (in both dimensions) than FILT. The origin of filt +% is assumed to be floor(size(filt)/2)+1. +% +% EDGES is a string determining boundary handling: +% 'circular' - Circular convolution +% 'reflect1' - Reflect about the edge pixels +% 'reflect2' - Reflect, doubling the edge pixels +% 'repeat' - Repeat the edge pixels +% 'zero' - Assume values of zero outside image boundary +% 'extend' - Reflect and invert (continuous values and derivs) +% 'dont-compute' - Zero output when filter overhangs input boundaries +% +% Downsampling factors are determined by STEP (optional, default=[1 1]), +% which should be a 2-vector [y,x]. +% +% The window over which the convolution occurs is specfied by START +% (optional, default=[1,1], and STOP (optional, default=size(IM)). +% +% NOTE: this operation corresponds to multiplication of a signal +% vector by a matrix whose rows contain copies of the FILT shifted by +% multiples of STEP. See upConv.m for the operation corresponding to +% the transpose of this matrix. + +% Eero Simoncelli, 6/96, revised 2/97. + +function res = corrDn(im, filt, edges, step, start, stop) + +%% NOTE: THIS CODE IS NOT ACTUALLY USED! (MEX FILE IS CALLED INSTEAD) + +fprintf(1,'WARNING: You should compile the MEX version of "corrDn.c",\n found in the MEX subdirectory of matlabPyrTools, and put it in your matlab path. It is MUCH faster, and provides more boundary-handling options.\n'); + +%------------------------------------------------------------ +%% OPTIONAL ARGS: + +if (exist('edges') == 1) + if (strcmp(edges,'reflect1') ~= 1) + warning('Using REFLECT1 edge-handling (use MEX code for other options).'); + end +end + +if (exist('step') ~= 1) + step = [1,1]; +end + +if (exist('start') ~= 1) + start = [1,1]; +end + +if (exist('stop') ~= 1) + stop = size(im); +end + +%------------------------------------------------------------ + +% Reverse order of taps in filt, to do correlation instead of convolution +filt = filt(size(filt,1):-1:1,size(filt,2):-1:1); + +tmp = rconv2(im,filt); +res = tmp(start(1):step(1):stop(1),start(2):step(2):stop(2)); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/corrDn.mexa64 b/matlab/external/gptoolbox/external/matlabPyrTools/corrDn.mexa64 new file mode 100644 index 0000000..94dc932 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/corrDn.mexa64 differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/corrDn.mexglx b/matlab/external/gptoolbox/external/matlabPyrTools/corrDn.mexglx new file mode 100644 index 0000000..7a1decd Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/corrDn.mexglx differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/corrDn.mexmac b/matlab/external/gptoolbox/external/matlabPyrTools/corrDn.mexmac new file mode 100644 index 0000000..75a5407 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/corrDn.mexmac differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/corrDn.mexw32 b/matlab/external/gptoolbox/external/matlabPyrTools/corrDn.mexw32 new file mode 100644 index 0000000..5140651 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/corrDn.mexw32 differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/einstein.pgm b/matlab/external/gptoolbox/external/matlabPyrTools/einstein.pgm new file mode 100644 index 0000000..99b974c Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/einstein.pgm differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/entropy2.m b/matlab/external/gptoolbox/external/matlabPyrTools/entropy2.m new file mode 100644 index 0000000..78b0325 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/entropy2.m @@ -0,0 +1,31 @@ +% E = ENTROPY2(MTX,BINSIZE) +% +% Compute the first-order sample entropy of MTX. Samples of VEC are +% first discretized. Optional argument BINSIZE controls the +% discretization, and defaults to 256/(max(VEC)-min(VEC)). +% +% NOTE: This is a heavily biased estimate of entropy (it is too +% small) when you don't have much data! + +% Eero Simoncelli, 6/96. + +function res = entropy2(mtx,binsize) + +%% Ensure it's a vector, not a matrix. +vec = mtx(:); +[mn,mx] = range2(vec); + +if (exist('binsize') == 1) + nbins = max((mx-mn)/binsize, 1); +else + nbins = 256; +end + +[bincount,bins] = histo(vec,nbins); + +%% Collect non-zero bins: +H = bincount(find(bincount)); +H = H/sum(H); + +res = -sum(H .* log2(H)); + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/factorial.m b/matlab/external/gptoolbox/external/matlabPyrTools/factorial.m new file mode 100644 index 0000000..9255f43 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/factorial.m @@ -0,0 +1,16 @@ +%% RES = factorial(NUM) +% +% Factorial function that works on matrices (matlab's does not). + +% EPS, 11/02 + +function res = factorial(num) + +res = ones(size(num)); + +ind = find(num > 0); +if ( ~isempty(ind) ) + subNum = num(ind); + res(ind) = subNum .* factorial(subNum-1); +end + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/feynman.pgm b/matlab/external/gptoolbox/external/matlabPyrTools/feynman.pgm new file mode 100644 index 0000000..7d14101 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/feynman.pgm differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/histo.m b/matlab/external/gptoolbox/external/matlabPyrTools/histo.m new file mode 100644 index 0000000..3366301 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/histo.m @@ -0,0 +1,58 @@ +% [N,X] = histo(MTX, nbinsOrBinsize, binCenter); +% +% Compute a histogram of (all) elements of MTX. N contains the histogram +% counts, X is a vector containg the centers of the histogram bins. +% +% nbinsOrBinsize (optional, default = 101) specifies either +% the number of histogram bins, or the negative of the binsize. +% +% binCenter (optional, default = mean2(MTX)) specifies a center position +% for (any one of) the histogram bins. +% +% How does this differ from MatLab's HIST function? This function: +% - allows uniformly spaced bins only. +% +/- operates on all elements of MTX, instead of columnwise. +% + is much faster (approximately a factor of 80 on my machine). +% + allows specification of number of bins OR binsize. Default=101 bins. +% + allows (optional) specification of binCenter. + +% Eero Simoncelli, 3/97. + +function [N, X] = histo(mtx, nbins, binCtr) + +%% NOTE: THIS CODE IS NOT ACTUALLY USED! (MEX FILE IS CALLED INSTEAD) + +fprintf(1,'WARNING: You should compile the MEX version of "histo.c",\n found in the MEX subdirectory of matlabPyrTools, and put it in your matlab path. It is MUCH faster.\n'); + +mtx = mtx(:); + +%------------------------------------------------------------ +%% OPTIONAL ARGS: + +[mn,mx] = range2(mtx); + +if (exist('binCtr') ~= 1) + binCtr = mean(mtx); +end + +if (exist('nbins') == 1) + if (nbins < 0) + binSize = -nbins; + else + binSize = ((mx-mn)/nbins); + tmpNbins = round((mx-binCtr)/binSize) - round((mn-binCtr)/binSize); + if (tmpNbins ~= nbins) + warning('Using %d bins instead of requested number (%d)',tmpNbins,nbins); + end + end +else + binSize = ((mx-mn)/101); +end + +firstBin = binCtr + binSize*round( (mn-binCtr)/binSize ); + +tmpNbins = round((mx-binCtr)/binSize) - round((mn-binCtr)/binSize); + +bins = firstBin + binSize*[0:tmpNbins]; + +[N, X] = hist(mtx, bins); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/histo.mexa64 b/matlab/external/gptoolbox/external/matlabPyrTools/histo.mexa64 new file mode 100644 index 0000000..ac65ceb Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/histo.mexa64 differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/histo.mexglx b/matlab/external/gptoolbox/external/matlabPyrTools/histo.mexglx new file mode 100644 index 0000000..4d67bfe Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/histo.mexglx differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/histo.mexmac b/matlab/external/gptoolbox/external/matlabPyrTools/histo.mexmac new file mode 100644 index 0000000..9c9d47a Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/histo.mexmac differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/histo.mexw32 b/matlab/external/gptoolbox/external/matlabPyrTools/histo.mexw32 new file mode 100644 index 0000000..03663ef Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/histo.mexw32 differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/histoMatch.m b/matlab/external/gptoolbox/external/matlabPyrTools/histoMatch.m new file mode 100644 index 0000000..ab82782 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/histoMatch.m @@ -0,0 +1,35 @@ +% RES = histoMatch(MTX, N, X) +% +% Modify elements of MTX so that normalized histogram matches that +% specified by vectors X and N, where N contains the histogram counts +% and X the histogram bin positions (see histo). + +% Eero Simoncelli, 7/96. + +function res = histoMatch(mtx, N, X) + +if ( exist('histo') == 3 ) + [oN, oX] = histo(mtx(:), size(X(:),1)); +else + [oN, oX] = hist(mtx(:), size(X(:),1)); +end + +oStep = oX(2) - oX(1); +oC = [0, cumsum(oN)]/sum(oN); +oX = [oX(1)-oStep/2, oX+oStep/2]; + +N = N(:)'; +X = X(:)'; +N = N + mean(N)/(1e8); %% HACK: no empty bins ensures nC strictly monotonic + +nStep = X(2) - X(1); +nC = [0, cumsum(N)]/sum(N); +nX = [X(1)-nStep/2, X+nStep/2]; + +nnX = interp1(nC, nX, oC, 'linear'); + +if ( exist('pointOp') == 3 ) + res = pointOp(mtx, nnX, oX(1), oStep); +else + res = reshape(interp1(oX, nnX, mtx(:)),size(mtx,1),size(mtx,2)); +end diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/imGradient.m b/matlab/external/gptoolbox/external/matlabPyrTools/imGradient.m new file mode 100644 index 0000000..a120552 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/imGradient.m @@ -0,0 +1,50 @@ +% [dx, dy] = imGradient(im, edges) +% +% Compute the gradient of the image using smooth derivative filters +% optimized for accurate direction estimation. Coordinate system +% corresponds to standard pixel indexing: X axis points rightward. Y +% axis points downward. EDGES specify boundary handling (see corrDn +% for options). +% +% Unlike matlab's new gradient function, which is based on local +% differences, this function computes derivatives using 5x5 filters +% designed to accurately reflect the local orientation content. + +% EPS, 1997. +% original filters from Int'l Conf Image Processing, 1994. +% updated filters 10/2003: see Farid & Simoncelli, IEEE Trans Image Processing, 13(4):496-508, April 2004. +% Incorporated into matlabPyrTools 10/2004. + +function [dx, dy] = imGradient(im, edges) + +if (exist('edges') ~= 1) + edges = 'dont-compute'; +end + +%% kernels from Farid & Simoncelli, IEEE Trans Image Processing, 13(4):496-508, April 2004. +gp = [0.037659 0.249153 0.426375 0.249153 0.037659]'; +gd = [-0.109604 -0.276691 0.000000 0.276691 0.109604]'; + +dx = corrDn(corrDn(im, gp, edges), gd', edges); +dy = corrDn(corrDn(im, gd, edges), gp', edges); + +return + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%% TEST: + +%%Make a ramp with random slope and direction +dir = 2*pi*rand - pi; +slope = 10*rand; + +sz = 32 +im = mkRamp(sz, dir, slope); +[dx,dy] = imGradient(im); +showIm(dx + sqrt(-1)*dy); + +ctr = (sz*sz/2)+sz/2; +slopeEst = sqrt(dx(ctr).^2 + dy(ctr).^2); +dirEst = atan2(dy(ctr), dx(ctr)); + +[slope, slopeEst] +[dir, dirEst] diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/imStats.m b/matlab/external/gptoolbox/external/matlabPyrTools/imStats.m new file mode 100644 index 0000000..bd2841f --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/imStats.m @@ -0,0 +1,43 @@ +% imStats(IM1,IM2) +% +% Report image (matrix) statistics. +% When called on a single image IM1, report min, max, mean, stdev, skew, +% and kurtosis (4th moment about the mean, divided by squared variance) +% +% When called on two images (IM1 and IM2), report min, max, mean, +% stdev of the difference, and also SNR (relative to IM1). + +% Eero Simoncelli, 6/96. + +function [] = imStats(im1,im2) + +if (~isreal(im1)) + error('Args must be real-valued matrices'); +end + +if (exist('im2') == 1) + difference = im1 - im2; + [mn,mx] = range2(difference); + mean = mean2(difference); + v = var2(difference,mean); + if (v < realmin) + snr = Inf; + else + snr = 10 * log10(var2(im1)/v); + end + fprintf(1, 'Difference statistics:\n'); + fprintf(1, ' Range: [%c, %c]\n',mn,mx); + fprintf(1, ' Mean: %f, Stdev (rmse): %f, SNR (dB): %f\n',... + mean,sqrt(v),snr); +else + [mn,mx] = range2(im1); + mean = mean2(im1); + var = var2(im1,mean); + stdev = sqrt(real(var))+sqrt(imag(var)); + sk = skew2(im1, mean, stdev^2); + kurt = kurt2(im1, mean, stdev^2); + fprintf(1, 'Image statistics:\n'); + fprintf(1, ' Range: [%f, %f]\n',mn,mx); + fprintf(1, ' Mean: %f, Stdev: %f, Skew: %f, Kurt: %f\n',mean,stdev,sk,kurt); +end + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/innerProd.m b/matlab/external/gptoolbox/external/matlabPyrTools/innerProd.m new file mode 100644 index 0000000..11bb8f8 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/innerProd.m @@ -0,0 +1,11 @@ +% RES = innerProd(MTX) +% +% Compute (MTX' * MTX) efficiently (i.e., without copying the matrix) +% +% NOTE: This function used to call a MEX function (C code) to avoid copying, but +% newer versions of matlab have eliminated the overhead of the +% simpler form below. + +function res = innerProd(mtx) + +res = mtx' * mtx; diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/kurt2.m b/matlab/external/gptoolbox/external/matlabPyrTools/kurt2.m new file mode 100644 index 0000000..8351eb4 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/kurt2.m @@ -0,0 +1,24 @@ +% K = KURT2(MTX,MEAN,VAR) +% +% Sample kurtosis (fourth moment divided by squared variance) +% of a matrix. Kurtosis of a Gaussian distribution is 3. +% MEAN (optional) and VAR (optional) make the computation faster. + +% Eero Simoncelli, 6/96. + +function res = kurt2(mtx, mn, v) + +if (exist('mn') ~= 1) + mn = mean(mean(mtx)); +end + +if (exist('v') ~= 1) + v = var2(mtx,mn); +end + +if (isreal(mtx)) + res = mean(mean(abs(mtx-mn).^4)) / (v^2); +else + res = mean(mean(real(mtx-mn).^4)) / (real(v)^2) + ... + i*mean(mean(imag(mtx-mn).^4)) / (imag(v)^2); +end diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/lplot.m b/matlab/external/gptoolbox/external/matlabPyrTools/lplot.m new file mode 100644 index 0000000..f922a56 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/lplot.m @@ -0,0 +1,43 @@ +% lplot(VEC, XRANGE) +% +% Plot VEC, a vector, in "lollipop" format. +% XRANGE (optional, default = [1,length(VEC)]), should be a 2-vector +% specifying the X positions (for labeling purposes) of the first and +% last sample of VEC. + +% Mark Liberman, Linguistics Dept, UPenn, 1994. + +function lplot(x,xrange) + +if (exist('xrange') ~= 1) + xrange = [1,length(x)]; +end + +msize = size(x); +if ( msize(2) == 1) + x = x'; +elseif (msize(1) ~= 1) + error('First arg must be a vector'); +end + +if (~isreal(x)) + fprintf(1,'Warning: Imaginary part of signal ignored\n'); + x = abs(x); +end + +N = length(x); +index = xrange(1) + (xrange(2)-xrange(1))*[0:(N-1)]/(N-1); +xinc = index(2)-index(1); + +xx = [zeros(1,N);x;zeros(1,N)]; +indexis = [index;index;index]; +xdiscrete = [0 xx(:)' 0]; +idiscrete = [index(1)-xinc indexis(:)' index(N)+xinc]; + +[mn,mx] = range2(xdiscrete); +ypad = (mx-mn)/12; % MAGIC NUMBER: graph padding + +plot(idiscrete, xdiscrete, index, x, 'o'); +axis([index(1)-xinc, index(N)+xinc, mn-ypad, mx+ypad]); + +return diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/lpyrHt.m b/matlab/external/gptoolbox/external/matlabPyrTools/lpyrHt.m new file mode 100644 index 0000000..d6834d7 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/lpyrHt.m @@ -0,0 +1,11 @@ +% [HEIGHT] = lpyrHt(INDICES) +% +% Compute height of Laplacian pyramid with given its INDICES matrix. +% See buildLpyr.m + +% Eero Simoncelli, 6/96. + +function [ht] = lpyrHt(pind) + +% Don't count lowpass residual band +ht = size(pind,1)-1; diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/make-tar-file b/matlab/external/gptoolbox/external/matlabPyrTools/make-tar-file new file mode 100644 index 0000000..6338b76 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/make-tar-file @@ -0,0 +1,55 @@ +#!/bin/csh -f + +setenv BASENAME "/lcv/matlab/lib/" + +setenv DIRNAME "matlabPyrTools" +setenv TARFILE "matlabPyrTools.tar" + +# For MAC: +# Put Macintosh-MEX.sit.hqx (contains projects, C code, mex files) inside of +# MEX directory. +# Put matlabPyrTools.sit.hqx (entire distribution, filetype corrected, no +# MEX subdirectory) inside of main directory. + +#################################################################### +## Make a compressed tar file of the EPS_matlab directory: + +echo "Before making the tar file:" +echo "1) If C code is modified, re-make the mex files..." +echo "2) Put correct date and version number in Contents.m. Execute 'ver' to test" +echo "3) add a ChangeLog entry stating that new tarfile was generated" +sleep 5 + +pushd ${BASENAME} + +#echo "Removing old tarfile..." +#/bin/rm "${DIRNAME}/${TARFILE}" +#/bin/rm "${DIRNAME}/${TARFILE}.gz" + +#echo "Removing ${DIRNAME}/MEX/*.o files..." +#/bin/rm ${DIRNAME}/MEX/*.o + +echo "Creating ${DIRNAME}/${TARFILE} ..." + +tar -cvf ${DIRNAME}/${TARFILE} \ + ${DIRNAME}/README ${DIRNAME}/ChangeLog ${DIRNAME}/*.m \ + ${DIRNAME}/MEX \ + ${DIRNAME}/TUTORIALS/README ${DIRNAME}/TUTORIALS/*.m \ + ${DIRNAME}/*.pgm + +echo "G'zipping ${DIRNAME}/${TARFILE} ..." + +gzip ${DIRNAME}/$TARFILE +gls -l "${DIRNAME}/$TARFILE.gz" + +popd + +echo "Done. Now:" +echo " cd ${BASENAME}/${DIRNAME}" +echo " scp ${TARFILE}.gz hopf:/Library/WebServer/Documents-www/ftp/eero/" +echo " cp README /users/eero/html_public/matlabPyrTools.README" +echo " cp ChangeLog /users/eero/html_public/matlabPyrTools.ChangeLog" +echo " cp Contents.m /users/eero/html_public/matlabPyrTools-Contents.m" +echo "" +echo " Finally, mark as updated in ~lcv/html_public/software.html" +echo "" diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/maxPyrHt.m b/matlab/external/gptoolbox/external/matlabPyrTools/maxPyrHt.m new file mode 100644 index 0000000..84bcf29 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/maxPyrHt.m @@ -0,0 +1,25 @@ +% HEIGHT = maxPyrHt(IMSIZE, FILTSIZE) +% +% Compute maximum pyramid height for given image and filter sizes. +% Specifically: the number of corrDn operations that can be sequentially +% performed when subsampling by a factor of 2. + +% Eero Simoncelli, 6/96. + +function height = maxPyrHt(imsz, filtsz) + +imsz = imsz(:); +filtsz = filtsz(:); + +if any(imsz == 1) % 1D image + imsz = prod(imsz); + filtsz = prod(filtsz); +elseif any(filtsz == 1) % 2D image, 1D filter + filtsz = [filtsz(1); filtsz(1)]; +end + +if any(imsz < filtsz) + height = 0; +else + height = 1 + maxPyrHt( floor(imsz/2), filtsz ); +end diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/mean2.m b/matlab/external/gptoolbox/external/matlabPyrTools/mean2.m new file mode 100644 index 0000000..177f7ac --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/mean2.m @@ -0,0 +1,7 @@ +% M = MEAN2(MTX) +% +% Sample mean of a matrix. + +function res = mean2(mtx) + +res = mean(mean(mtx)); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/mkAngle.m b/matlab/external/gptoolbox/external/matlabPyrTools/mkAngle.m new file mode 100644 index 0000000..bd54f8d --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/mkAngle.m @@ -0,0 +1,32 @@ +% IM = mkAngle(SIZE, PHASE, ORIGIN) +% +% Compute a matrix of dimension SIZE (a [Y X] 2-vector, or a scalar) +% containing samples of the polar angle (in radians, CW from the +% X-axis, ranging from -pi to pi), relative to angle PHASE (default = +% 0), about ORIGIN pixel (default = (size+1)/2). + +% Eero Simoncelli, 6/96. + +function [res] = mkAngle(sz, phase, origin) + +sz = sz(:); +if (size(sz,1) == 1) + sz = [sz,sz]; +end + +% ----------------------------------------------------------------- +% OPTIONAL args: + +if (exist('origin') ~= 1) + origin = (sz+1)/2; +end + +% ----------------------------------------------------------------- + +[xramp,yramp] = meshgrid( [1:sz(2)]-origin(2), [1:sz(1)]-origin(1) ); + +res = atan2(yramp,xramp); + +if (exist('phase') == 1) + res = mod(res+(pi-phase),2*pi)-pi; +end diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/mkAngularSine.m b/matlab/external/gptoolbox/external/matlabPyrTools/mkAngularSine.m new file mode 100644 index 0000000..f5238cc --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/mkAngularSine.m @@ -0,0 +1,42 @@ +% IM = mkAngularSine(SIZE, HARMONIC, AMPL, PHASE, ORIGIN) +% +% Make an angular sinusoidal image: +% AMPL * sin( HARMONIC*theta + PHASE), +% where theta is the angle about the origin. +% SIZE specifies the matrix size, as for zeros(). +% AMPL (default = 1) and PHASE (default = 0) are optional. + +% Eero Simoncelli, 2/97. + +function [res] = mkAngularSine(sz, harmonic, ampl, ph, origin) + +sz = sz(:); +if (size(sz,1) == 1) + sz = [sz,sz]; +end + +mxsz = max(sz(1),sz(2)); + +%------------------------------------------------------------ +%% OPTIONAL ARGS: + +if (exist('harmonic') ~= 1) + harmonic = 1; +end + +if (exist('ampl') ~= 1) + ampl = 1; +end + +if (exist('ph') ~= 1) + ph = 0; +end + +if (exist('origin') ~= 1) + origin = (sz+1)/2; +end + +%------------------------------------------------------------ + +res = ampl * sin(harmonic*mkAngle(sz,ph,origin) + ph); + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/mkDisc.m b/matlab/external/gptoolbox/external/matlabPyrTools/mkDisc.m new file mode 100644 index 0000000..33e7d6d --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/mkDisc.m @@ -0,0 +1,61 @@ +% IM = mkDisc(SIZE, RADIUS, ORIGIN, TWIDTH, VALS) +% +% Make a "disk" image. SIZE specifies the matrix size, as for +% zeros(). RADIUS (default = min(size)/4) specifies the radius of +% the disk. ORIGIN (default = (size+1)/2) specifies the +% location of the disk center. TWIDTH (in pixels, default = 2) +% specifies the width over which a soft threshold transition is made. +% VALS (default = [0,1]) should be a 2-vector containing the +% intensity value inside and outside the disk. + +% Eero Simoncelli, 6/96. + +function [res] = mkDisc(sz, rad, origin, twidth, vals) + +if (nargin < 1) + error('Must pass at least a size argument'); +end + +sz = sz(:); +if (size(sz,1) == 1) + sz = [sz sz]; +end + +%------------------------------------------------------------ +% OPTIONAL ARGS: + +if (exist('rad') ~= 1) + rad = min(sz(1),sz(2))/4; +end + +if (exist('origin') ~= 1) + origin = (sz+1)./2; +end + +if (exist('twidth') ~= 1) + twidth = 2; +end + +if (exist('vals') ~= 1) + vals = [1,0]; +end + +%------------------------------------------------------------ + +res = mkR(sz,1,origin); + +if (abs(twidth) < realmin) + res = vals(2) + (vals(1) - vals(2)) * (res <= rad); +else + [Xtbl,Ytbl] = rcosFn(twidth, rad, [vals(1), vals(2)]); + res = pointOp(res, Ytbl, Xtbl(1), Xtbl(2)-Xtbl(1), 0); +% +% OLD interp1 VERSION: +% res = res(:); +% Xtbl(1) = min(res); +% Xtbl(size(Xtbl,2)) = max(res); +% res = reshape(interp1(Xtbl,Ytbl,res), sz(1), sz(2)); +% +end + + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/mkFract.m b/matlab/external/gptoolbox/external/matlabPyrTools/mkFract.m new file mode 100644 index 0000000..af95cd5 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/mkFract.m @@ -0,0 +1,36 @@ +% IM = mkFract(SIZE, FRACT_DIM) +% +% Make a matrix of dimensions SIZE (a [Y X] 2-vector, or a scalar) +% containing fractal (pink) noise with power spectral density of the +% form: 1/f^(5-2*FRACT_DIM). Image variance is normalized to 1.0. +% FRACT_DIM defaults to 1.0 + +% Eero Simoncelli, 6/96. + +%% TODO: Verify that this matches Mandelbrot defn of fractal dimension. +%% Make this more efficient! + +function res = mkFract(dims, fract_dim) + +if (exist('fract_dim') ~= 1) + fract_dim = 1.0; +end + +res = randn(dims); +fres = fft2(res); + +sz = size(res); +ctr = ceil((sz+1)./2); + +shape = ifftshift(mkR(sz, -(2.5-fract_dim), ctr)); +shape(1,1) = 1; %%DC term + +fres = shape .* fres; +fres = ifft2(fres); + +if (max(max(abs(imag(fres)))) > 1e-10) + error('Symmetry error in creating fractal'); +else + res = real(fres); + res = res / sqrt(var2(res)); +end diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/mkGaussian.m b/matlab/external/gptoolbox/external/matlabPyrTools/mkGaussian.m new file mode 100644 index 0000000..a35728f --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/mkGaussian.m @@ -0,0 +1,63 @@ +% IM = mkGaussian(SIZE, COVARIANCE, MEAN, AMPLITUDE) +% +% Compute a matrix with dimensions SIZE (a [Y X] 2-vector, or a +% scalar) containing a Gaussian function, centered at pixel position +% specified by MEAN (default = (size+1)/2), with given COVARIANCE (can +% be a scalar, 2-vector, or 2x2 matrix. Default = (min(size)/6)^2), +% and AMPLITUDE. AMPLITUDE='norm' (default) will produce a +% probability-normalized function. All but the first argument are +% optional. + +% Eero Simoncelli, 6/96. + +function [res] = mkGaussian(sz, cov, mn, ampl) + +sz = sz(:); +if (size(sz,1) == 1) + sz = [sz,sz]; +end + +%------------------------------------------------------------ +%% OPTIONAL ARGS: + +if (exist('cov') ~= 1) + cov = (min(sz(1),sz(2))/6)^2; +end + +if ( (exist('mn') ~= 1) | isempty(mn) ) + mn = (sz+1)/2; +else + mn = mn(:); + if (size(mn,1) == 1) + mn = [mn, mn]; + end +end + +if (exist('ampl') ~= 1) + ampl = 'norm'; +end + +%------------------------------------------------------------ + +[xramp,yramp] = meshgrid([1:sz(2)]-mn(2),[1:sz(1)]-mn(1)); + +if (sum(size(cov)) == 2) % scalar + if (strcmp(ampl,'norm')) + ampl = 1/(2*pi*cov(1)); + end + e = (xramp.^2 + yramp.^2)/(-2 * cov); +elseif (sum(size(cov)) == 3) % a 2-vector + if (strcmp(ampl,'norm')) + ampl = 1/(2*pi*sqrt(cov(1)*cov(2))); + end + e = xramp.^2/(-2 * cov(2)) + yramp.^2/(-2 * cov(1)); +else + if (strcmp(ampl,'norm')) + ampl = 1/(2*pi*sqrt(det(cov))); + end + cov = -inv(cov)/2; + e = cov(2,2)*xramp.^2 + (cov(1,2)+cov(2,1))*(xramp.*yramp) ... + + cov(1,1)*yramp.^2; +end + +res = ampl .* exp(e); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/mkImpulse.m b/matlab/external/gptoolbox/external/matlabPyrTools/mkImpulse.m new file mode 100644 index 0000000..9844ee8 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/mkImpulse.m @@ -0,0 +1,25 @@ +% IM = mkImpulse(SIZE, ORIGIN, AMPLITUDE) +% +% Compute a matrix of dimension SIZE (a [Y X] 2-vector, or a scalar) +% containing a single non-zero entry, at position ORIGIN (defaults to +% ceil(size/2)), of value AMPLITUDE (defaults to 1). + +% Eero Simoncelli, 6/96. + +function [res] = mkImpulse(sz, origin, amplitude) + +sz = sz(:)'; +if (size(sz,2) == 1) + sz = [sz sz]; +end + +if (exist('origin') ~= 1) + origin = ceil(sz/2); +end + +if (exist('amplitude') ~= 1) + amplitude = 1; +end + +res = zeros(sz); +res(origin(1),origin(2)) = amplitude; diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/mkR.m b/matlab/external/gptoolbox/external/matlabPyrTools/mkR.m new file mode 100644 index 0000000..a1e8448 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/mkR.m @@ -0,0 +1,32 @@ +% IM = mkR(SIZE, EXPT, ORIGIN) +% +% Compute a matrix of dimension SIZE (a [Y X] 2-vector, or a scalar) +% containing samples of a radial ramp function, raised to power EXPT +% (default = 1), with given ORIGIN (default = (size+1)/2, [1 1] = +% upper left). All but the first argument are optional. + +% Eero Simoncelli, 6/96. + +function [res] = mkR(sz, expt, origin) + +sz = sz(:); +if (size(sz,1) == 1) + sz = [sz,sz]; +end + +% ----------------------------------------------------------------- +% OPTIONAL args: + +if (exist('expt') ~= 1) + expt = 1; +end + +if (exist('origin') ~= 1) + origin = (sz+1)/2; +end + +% ----------------------------------------------------------------- + +[xramp,yramp] = meshgrid( [1:sz(2)]-origin(2), [1:sz(1)]-origin(1) ); + +res = (xramp.^2 + yramp.^2).^(expt/2); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/mkRamp.m b/matlab/external/gptoolbox/external/matlabPyrTools/mkRamp.m new file mode 100644 index 0000000..dd37164 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/mkRamp.m @@ -0,0 +1,47 @@ +% IM = mkRamp(SIZE, DIRECTION, SLOPE, INTERCEPT, ORIGIN) +% +% Compute a matrix of dimension SIZE (a [Y X] 2-vector, or a scalar) +% containing samples of a ramp function, with given gradient DIRECTION +% (radians, CW from X-axis, default = 0), SLOPE (per pixel, default = +% 1), and a value of INTERCEPT (default = 0) at the ORIGIN (default = +% (size+1)/2, [1 1] = upper left). All but the first argument are +% optional. + +% Eero Simoncelli, 6/96. 2/97: adjusted coordinate system. + +function [res] = mkRamp(sz, dir, slope, intercept, origin) + +sz = sz(:); +if (size(sz,1) == 1) + sz = [sz,sz]; +end + +% ----------------------------------------------------------------- +% OPTIONAL args: + +if (exist('dir') ~= 1) + dir = 0; +end + +if (exist('slope') ~= 1) + slope = 1; +end + +if (exist('intercept') ~= 1) + intercept = 0; +end + +if (exist('origin') ~= 1) + origin = (sz+1)/2; +end + +% ----------------------------------------------------------------- + +xinc = slope*cos(dir); +yinc = slope*sin(dir); + +[xramp,yramp] = meshgrid( xinc*([1:sz(2)]-origin(2)), ... + yinc*([1:sz(1)]-origin(1)) ); + +res = intercept + xramp + yramp; + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/mkSine.m b/matlab/external/gptoolbox/external/matlabPyrTools/mkSine.m new file mode 100644 index 0000000..147eb01 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/mkSine.m @@ -0,0 +1,67 @@ +% IM = mkSine(SIZE, PERIOD, DIRECTION, AMPLITUDE, PHASE, ORIGIN) +% or +% IM = mkSine(SIZE, FREQ, AMPLITUDE, PHASE, ORIGIN) +% +% Compute a matrix of dimension SIZE (a [Y X] 2-vector, or a scalar) +% containing samples of a 2D sinusoid, with given PERIOD (in pixels), +% DIRECTION (radians, CW from X-axis, default = 0), AMPLITUDE (default +% = 1), and PHASE (radians, relative to ORIGIN, default = 0). ORIGIN +% defaults to the center of the image. +% +% In the second form, FREQ is a 2-vector of frequencies (radians/pixel). + +% Eero Simoncelli, 6/96. + +function [res] = mkSine(sz, per_freq, dir_amp, amp_phase, phase_orig, orig) + +%------------------------------------------------------------ +%% OPTIONAL ARGS: + +if (prod(size(per_freq)) == 2) + frequency = norm(per_freq); + direction = atan2(per_freq(1),per_freq(2)); + if (exist('dir_amp') == 1) + amplitude = dir_amp; + else + amplitude = 1; + end + if (exist('amp_phase') == 1) + phase = amp_phase; + else + phase = 0; + end + if (exist('phase_orig') == 1) + origin = phase_orig; + end + if (exist('orig') == 1) + error('Too many arguments for (second form) of mkSine'); + end +else + frequency = 2*pi/per_freq; + if (exist('dir_amp') == 1) + direction = dir_amp; + else + direction = 0; + end + if (exist('amp_phase') == 1) + amplitude = amp_phase; + else + amplitude = 1; + end + if (exist('phase_orig') == 1) + phase = phase_orig; + else + phase = 0; + end + if (exist('orig') == 1) + origin = orig; + end +end + +%------------------------------------------------------------ + +if (exist('origin') == 1) + res = amplitude*sin(mkRamp(sz, direction, frequency, phase, origin)); +else + res = amplitude*sin(mkRamp(sz, direction, frequency, phase)); +end diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/mkSquare.m b/matlab/external/gptoolbox/external/matlabPyrTools/mkSquare.m new file mode 100644 index 0000000..84ef466 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/mkSquare.m @@ -0,0 +1,89 @@ +% IM = mkSquare(SIZE, PERIOD, DIRECTION, AMPLITUDE, PHASE, ORIGIN, TWIDTH) +% or +% IM = mkSine(SIZE, FREQ, AMPLITUDE, PHASE, ORIGIN, TWIDTH) +% +% Compute a matrix of dimension SIZE (a [Y X] 2-vector, or a scalar) +% containing samples of a 2D square wave, with given PERIOD (in +% pixels), DIRECTION (radians, CW from X-axis, default = 0), AMPLITUDE +% (default = 1), and PHASE (radians, relative to ORIGIN, default = 0). +% ORIGIN defaults to the center of the image. TWIDTH specifies width +% of raised-cosine edges on the bars of the grating (default = +% min(2,period/3)). +% +% In the second form, FREQ is a 2-vector of frequencies (radians/pixel). + +% Eero Simoncelli, 6/96. + +% TODO: Add duty cycle. + +function [res] = mkSquare(sz, per_freq, dir_amp, amp_phase, phase_orig, orig_twidth, twidth) + +%------------------------------------------------------------ +%% OPTIONAL ARGS: + +if (prod(size(per_freq)) == 2) + frequency = norm(per_freq); + direction = atan2(per_freq(1),per_freq(2)); + if (exist('dir_amp') == 1) + amplitude = dir_amp; + else + amplitude = 1; + end + if (exist('amp_phase') == 1) + phase = amp_phase; + else + phase = 0; + end + if (exist('phase_orig') == 1) + origin = phase_orig; + end + if (exist('orig_twidth') == 1) + transition = orig_twidth; + else + transition = min(2,2*pi/(3*frequency)); + end + if (exist('twidth') == 1) + error('Too many arguments for (second form) of mkSine'); + end +else + frequency = 2*pi/per_freq; + if (exist('dir_amp') == 1) + direction = dir_amp; + else + direction = 0; + end + if (exist('amp_phase') == 1) + amplitude = amp_phase; + else + amplitude = 1; + end + if (exist('phase_orig') == 1) + phase = phase_orig; + else + phase = 0; + end + if (exist('orig_twidth') == 1) + origin = orig_twidth; + end + if (exist('twidth') == 1) + transition = twidth; + else + transition = min(2,2*pi/(3*frequency)); + end + +end + +%------------------------------------------------------------ + +if (exist('origin') == 1) + res = mkRamp(sz, direction, frequency, phase, origin) - pi/2; +else + res = mkRamp(sz, direction, frequency, phase) - pi/2; +end + +[Xtbl,Ytbl] = rcosFn(transition*frequency,pi/2,[-amplitude amplitude]); + +res = pointOp(abs(mod(res+pi, 2*pi)-pi),Ytbl,Xtbl(1),Xtbl(2)-Xtbl(1),0); + +% OLD threshold version: +%res = amplitude * (mod(res,2*pi) < pi); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/mkZonePlate.m b/matlab/external/gptoolbox/external/matlabPyrTools/mkZonePlate.m new file mode 100644 index 0000000..2b6a4a5 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/mkZonePlate.m @@ -0,0 +1,33 @@ +% IM = mkZonePlate(SIZE, AMPL, PHASE) +% +% Make a "zone plate" image: +% AMPL * cos( r^2 + PHASE) +% SIZE specifies the matrix size, as for zeros(). +% AMPL (default = 1) and PHASE (default = 0) are optional. + +% Eero Simoncelli, 6/96. + +function [res] = mkZonePlate(sz, ampl, ph) + +sz = sz(:); +if (size(sz,1) == 1) + sz = [sz,sz]; +end + +mxsz = max(sz(1),sz(2)); + +%------------------------------------------------------------ +%% OPTIONAL ARGS: + +if (exist('ampl') ~= 1) + ampl = 1; +end + +if (exist('ph') ~= 1) + ph = 0; +end + +%------------------------------------------------------------ + +res = ampl * cos( (pi/mxsz) * mkR(sz,2) + ph ); + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/modulateFlip.m b/matlab/external/gptoolbox/external/matlabPyrTools/modulateFlip.m new file mode 100644 index 0000000..eb27303 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/modulateFlip.m @@ -0,0 +1,19 @@ +% [HFILT] = modulateFlipShift(LFILT) +% +% QMF/Wavelet highpass filter construction: modulate by (-1)^n, +% reverse order (and shift by one, which is handled by the convolution +% routines). This is an extension of the original definition of QMF's +% (e.g., see Simoncelli90). + +% Eero Simoncelli, 7/96. + +function [hfilt] = modulateFlipShift(lfilt) + +lfilt = lfilt(:); + +sz = size(lfilt,1); +sz2 = ceil(sz/2); + +ind = [sz:-1:1]'; + +hfilt = lfilt(ind) .* (-1).^(ind-sz2); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/namedFilter.m b/matlab/external/gptoolbox/external/matlabPyrTools/namedFilter.m new file mode 100644 index 0000000..0689dbc --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/namedFilter.m @@ -0,0 +1,71 @@ +% KERNEL = NAMED_FILTER(NAME) +% +% Some standard 1D filter kernels. These are scaled such that +% their L2-norm is 1.0. +% +% binomN - binomial coefficient filter of order N-1 +% haar: - Haar wavelet. +% qmf8, qmf12, qmf16 - Symmetric Quadrature Mirror Filters [Johnston80] +% daub2,daub3,daub4 - Daubechies wavelet [Daubechies88]. +% qmf5, qmf9, qmf13: - Symmetric Quadrature Mirror Filters [Simoncelli88,Simoncelli90] +% +% See bottom of file for full citations. + +% Eero Simoncelli, 6/96. + +function [kernel] = named_filter(name) + +if strcmp(name(1:min(5,size(name,2))), 'binom') + kernel = sqrt(2) * binomialFilter(str2num(name(6:size(name,2)))); +elseif strcmp(name,'qmf5') + kernel = [-0.076103 0.3535534 0.8593118 0.3535534 -0.076103]'; +elseif strcmp(name,'qmf9') + kernel = [0.02807382 -0.060944743 -0.073386624 0.41472545 0.7973934 ... + 0.41472545 -0.073386624 -0.060944743 0.02807382]'; +elseif strcmp(name,'qmf13') + kernel = [-0.014556438 0.021651438 0.039045125 -0.09800052 ... + -0.057827797 0.42995453 0.7737113 0.42995453 -0.057827797 ... + -0.09800052 0.039045125 0.021651438 -0.014556438]'; +elseif strcmp(name,'qmf8') + kernel = sqrt(2) * [0.00938715 -0.07065183 0.06942827 0.4899808 ... + 0.4899808 0.06942827 -0.07065183 0.00938715 ]'; +elseif strcmp(name,'qmf12') + kernel = sqrt(2) * [-0.003809699 0.01885659 -0.002710326 -0.08469594 ... + 0.08846992 0.4843894 0.4843894 0.08846992 -0.08469594 -0.002710326 ... + 0.01885659 -0.003809699 ]'; +elseif strcmp(name,'qmf16') + kernel = sqrt(2) * [0.001050167 -0.005054526 -0.002589756 0.0276414 -0.009666376 ... + -0.09039223 0.09779817 0.4810284 0.4810284 0.09779817 -0.09039223 -0.009666376 ... + 0.0276414 -0.002589756 -0.005054526 0.001050167 ]'; +elseif strcmp(name,'haar') + kernel = [1 1]' / sqrt(2); +elseif strcmp(name,'daub2') + kernel = [0.482962913145 0.836516303738 0.224143868042 -0.129409522551]'; +elseif strcmp(name,'daub3') + kernel = [0.332670552950 0.806891509311 0.459877502118 -0.135011020010 ... + -0.085441273882 0.035226291882]'; +elseif strcmp(name,'daub4') + kernel = [0.230377813309 0.714846570553 0.630880767930 -0.027983769417 ... + -0.187034811719 0.030841381836 0.032883011667 -0.010597401785]'; +elseif strcmp(name,'gauss5') % for backward-compatibility + kernel = sqrt(2) * [0.0625 0.25 0.375 0.25 0.0625]'; +elseif strcmp(name,'gauss3') % for backward-compatibility + kernel = sqrt(2) * [0.25 0.5 0.25]'; +else + error(sprintf('Bad filter name: %s\n',name)); +end + +% [Johnston80] - J D Johnston, "A filter family designed for use in quadrature +% mirror filter banks", Proc. ICASSP, pp 291-294, 1980. +% +% [Daubechies88] - I Daubechies, "Orthonormal bases of compactly supported wavelets", +% Commun. Pure Appl. Math, vol. 42, pp 909-996, 1988. +% +% [Simoncelli88] - E P Simoncelli, "Orthogonal sub-band image transforms", +% PhD Thesis, MIT Dept. of Elec. Eng. and Comp. Sci. May 1988. +% Also available as: MIT Media Laboratory Vision and Modeling Technical +% Report #100. +% +% [Simoncelli90] - E P Simoncelli and E H Adelson, "Subband image coding", +% Subband Transforms, chapter 4, ed. John W Woods, Kluwer Academic +% Publishers, Norwell, MA, 1990, pp 143--192. diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/nextFig.m b/matlab/external/gptoolbox/external/matlabPyrTools/nextFig.m new file mode 100644 index 0000000..e0ac73f --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/nextFig.m @@ -0,0 +1,19 @@ +% nextFig (MAXFIGS, SKIP) +% +% Make figure number mod((GCF+SKIP), MAXFIGS) the current figure. +% MAXFIGS is optional, and defaults to 2. +% SKIP is optional, and defaults to 1. + +% Eero Simoncelli, 2/97. + +function nextFig(maxfigs, skip) + +if (exist('maxfigs') ~= 1) + maxfigs = 2; +end + +if (exist('skip') ~= 1) + skip = 1; +end + +figure(1+mod(gcf-1+skip,maxfigs)); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/pgmRead.m b/matlab/external/gptoolbox/external/matlabPyrTools/pgmRead.m new file mode 100644 index 0000000..86c3b62 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/pgmRead.m @@ -0,0 +1,59 @@ +% IM = pgmRead( FILENAME ) +% +% Load a pgm image into a MatLab matrix. +% This format is accessible from the XV image browsing utility. +% Only works for 8bit gray images (raw or ascii) + +% Hany Farid, Spring '96. Modified by Eero Simoncelli, 6/96. + +function im = pgmRead( fname ); + +[fid,msg] = fopen( fname, 'r' ); + +if (fid == -1) + error(msg); +end + +%%% First line contains ID string: +%%% "P1" = ascii bitmap, "P2" = ascii greymap, +%%% "P3" = ascii pixmap, "P4" = raw bitmap, +%%% "P5" = raw greymap, "P6" = raw pixmap +TheLine = fgetl(fid); +format = TheLine; + +if ~((format(1:2) == 'P2') | (format(1:2) == 'P5')) + error('PGM file must be of type P2 or P5'); +end + +%%% Any number of comment lines +TheLine = fgetl(fid); +while TheLine(1) == '#' + TheLine = fgetl(fid); +end + +%%% dimensions +sz = sscanf(TheLine,'%d',2); +xdim = sz(1); +ydim = sz(2); +sz = xdim * ydim; + +%%% Maximum pixel value +TheLine = fgetl(fid); +maxval = sscanf(TheLine, '%d',1); + +%%im = zeros(dim,1); +if (format(2) == '2') + [im,count] = fscanf(fid,'%d',sz); +else + [im,count] = fread(fid,sz,'uchar'); +end + +fclose(fid); + +if (count == sz) + im = reshape( im, xdim, ydim )'; +else + fprintf(1,'Warning: File ended early!'); + im = reshape( [im ; zeros(sz-count,1)], xdim, ydim)'; +end + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/pgmWrite.m b/matlab/external/gptoolbox/external/matlabPyrTools/pgmWrite.m new file mode 100644 index 0000000..09c14c9 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/pgmWrite.m @@ -0,0 +1,120 @@ +% RANGE = pgmWrite(MTX, FILENAME, RANGE, TYPE, COMMENT) +% +% Write a MatLab matrix to a pgm (graylevel image) file. +% This format is accessible from the XV image browsing utility. +% +% RANGE (optional) is a 2-vector specifying the values that map to +% black and white, respectively. Passing a value of 'auto' (default) +% sets RANGE=[min,max] (as in MatLab's imagesc). 'auto2' sets +% RANGE=[mean-2*stdev, mean+2*stdev]. 'auto3' sets +% RANGE=[p1-(p2-p1)/8, p2+(p2-p1)/8], where p1 is the 10th percentile +% value of the sorted MATRIX samples, and p2 is the 90th percentile +% value. +% +% TYPE (optional) should be 'raw' or 'ascii'. Defaults to 'raw'. + +% Hany Farid, Spring '96. Modified by Eero Simoncelli, 6/96. + +function range = pgmWrite(mtx, fname, range, type, comment ); + +[fid,msg] = fopen( fname, 'w' ); + +if (fid == -1) + error(msg); +end + +%------------------------------------------------------------ +%% optional ARGS: + +if (exist('range') ~= 1) + range = 'auto'; +end + +if (exist('type') ~= 1) + type = 'raw'; +end +%------------------------------------------------------------ + +%% Automatic range calculation: +if (strcmp(range,'auto1') | strcmp(range,'auto')) + [mn,mx] = range2(mtx); + range = [mn,mx]; + +elseif strcmp(range,'auto2') + stdev = sqrt(var2(mtx)); + av = mean2(mtx); + range = [av-2*stdev,av+2*stdev]; % MAGIC NUMBER: 2 stdevs + +elseif strcmp(range, 'auto3') + percentile = 0.1; % MAGIC NUMBER: 0 size(pind,1)) | (band < 1)) + error(sprintf('BAND_NUM must be between 1 and number of pyramid bands (%d).', ... + size(pind,1))); +end + +if (size(pind,2) ~= 2) + error('INDICES must be an Nx2 matrix indicating the size of the pyramid subbands'); +end + +ind = 1; +for l=1:band-1 + ind = ind + prod(pind(l,:)); +end + +indices = ind:ind+prod(pind(band,:))-1; diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/pyrLow.m b/matlab/external/gptoolbox/external/matlabPyrTools/pyrLow.m new file mode 100644 index 0000000..290e806 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/pyrLow.m @@ -0,0 +1,12 @@ +% RES = pyrLow(PYR, INDICES) +% +% Access the lowpass subband from a pyramid +% (gaussian, laplacian, QMF/wavelet, steerable). + +% Eero Simoncelli, 6/96. + +function res = pyrLow(pyr,pind) + +band = size(pind,1); + +res = reshape( pyr(pyrBandIndices(pind,band)), pind(band,1), pind(band,2) ); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/pyrTools.pdf b/matlab/external/gptoolbox/external/matlabPyrTools/pyrTools.pdf new file mode 100644 index 0000000..71c42ba Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/pyrTools.pdf differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/range2.m b/matlab/external/gptoolbox/external/matlabPyrTools/range2.m new file mode 100644 index 0000000..1709a0e --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/range2.m @@ -0,0 +1,18 @@ +% [MIN, MAX] = range2(MTX) +% +% Compute minimum and maximum values of MTX, returning them as a 2-vector. + +% Eero Simoncelli, 3/97. + +function [mn, mx] = range2(mtx) + +%% NOTE: THIS CODE IS NOT ACTUALLY USED! (MEX FILE IS CALLED INSTEAD) + +fprintf(1,'WARNING: You should compile the MEX version of "range2.c",\n found in the MEX subdirectory of matlabPyrTools, and put it in your matlab path. It is MUCH faster.\n'); + +if (~isreal(mtx)) + error('MTX must be real-valued'); +end + +mn = min(min(mtx)); +mx = max(max(mtx)); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/range2.mexa64 b/matlab/external/gptoolbox/external/matlabPyrTools/range2.mexa64 new file mode 100644 index 0000000..a6d7c19 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/range2.mexa64 differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/range2.mexglx b/matlab/external/gptoolbox/external/matlabPyrTools/range2.mexglx new file mode 100644 index 0000000..7053170 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/range2.mexglx differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/range2.mexmac b/matlab/external/gptoolbox/external/matlabPyrTools/range2.mexmac new file mode 100644 index 0000000..8f32249 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/range2.mexmac differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/range2.mexw32 b/matlab/external/gptoolbox/external/matlabPyrTools/range2.mexw32 new file mode 100644 index 0000000..513b195 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/range2.mexw32 differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/rconv2.m b/matlab/external/gptoolbox/external/matlabPyrTools/rconv2.m new file mode 100644 index 0000000..0c12490 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/rconv2.m @@ -0,0 +1,50 @@ +% RES = RCONV2(MTX1, MTX2, CTR) +% +% Convolution of two matrices, with boundaries handled via reflection +% about the edge pixels. Result will be of size of LARGER matrix. +% +% The origin of the smaller matrix is assumed to be its center. +% For even dimensions, the origin is determined by the CTR (optional) +% argument: +% CTR origin +% 0 DIM/2 (default) +% 1 (DIM/2)+1 + +% Eero Simoncelli, 6/96. + +function c = rconv2(a,b,ctr) + +if (exist('ctr') ~= 1) + ctr = 0; +end + +if (( size(a,1) >= size(b,1) ) & ( size(a,2) >= size(b,2) )) + large = a; small = b; +elseif (( size(a,1) <= size(b,1) ) & ( size(a,2) <= size(b,2) )) + large = b; small = a; +else + error('one arg must be larger than the other in both dimensions!'); +end + +ly = size(large,1); +lx = size(large,2); +sy = size(small,1); +sx = size(small,2); + +%% These values are one less than the index of the small mtx that falls on +%% the border pixel of the large matrix when computing the first +%% convolution response sample: +sy2 = floor((sy+ctr-1)/2); +sx2 = floor((sx+ctr-1)/2); + +% pad with reflected copies +clarge = [ + large(sy-sy2:-1:2,sx-sx2:-1:2), large(sy-sy2:-1:2,:), ... + large(sy-sy2:-1:2,lx-1:-1:lx-sx2); ... + large(:,sx-sx2:-1:2), large, large(:,lx-1:-1:lx-sx2); ... + large(ly-1:-1:ly-sy2,sx-sx2:-1:2), ... + large(ly-1:-1:ly-sy2,:), ... + large(ly-1:-1:ly-sy2,lx-1:-1:lx-sx2) ]; + +c = conv2(clarge,small,'valid'); + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/rcosFn.m b/matlab/external/gptoolbox/external/matlabPyrTools/rcosFn.m new file mode 100644 index 0000000..5dac344 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/rcosFn.m @@ -0,0 +1,45 @@ +% [X, Y] = rcosFn(WIDTH, POSITION, VALUES) +% +% Return a lookup table (suitable for use by INTERP1) +% containing a "raised cosine" soft threshold function: +% +% Y = VALUES(1) + (VALUES(2)-VALUES(1)) * +% cos^2( PI/2 * (X - POSITION + WIDTH)/WIDTH ) +% +% WIDTH is the width of the region over which the transition occurs +% (default = 1). POSITION is the location of the center of the +% threshold (default = 0). VALUES (default = [0,1]) specifies the +% values to the left and right of the transition. + +% Eero Simoncelli, 7/96. + +function [X, Y] = rcosFn(width,position,values) + +%------------------------------------------------------------ +% OPTIONAL ARGS: + +if (exist('width') ~= 1) + width = 1; +end + +if (exist('position') ~= 1) + position = 0; +end + +if (exist('values') ~= 1) + values = [0,1]; +end + +%------------------------------------------------------------ + +sz = 256; %% arbitrary! + +X = pi * [-sz-1:1] / (2*sz); + +Y = values(1) + (values(2)-values(1)) * cos(X).^2; + +% Make sure end values are repeated, for extrapolation... +Y(1) = Y(2); +Y(sz+3) = Y(sz+2); + +X = position + (2*width/pi) * (X + pi/4); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/reconLpyr.m b/matlab/external/gptoolbox/external/matlabPyrTools/reconLpyr.m new file mode 100644 index 0000000..cddcc12 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/reconLpyr.m @@ -0,0 +1,83 @@ +% RES = reconLpyr(PYR, INDICES, LEVS, FILT2, EDGES) +% +% Reconstruct image from Laplacian pyramid, as created by buildLpyr. +% +% PYR is a vector containing the N pyramid subbands, ordered from fine +% to coarse. INDICES is an Nx2 matrix containing the sizes of +% each subband. This is compatible with the MatLab Wavelet toolbox. +% +% LEVS (optional) should be a list of levels to include, or the string +% 'all' (default). The finest scale is number 1. The lowpass band +% corresponds to lpyrHt(INDICES)+1. +% +% FILT2 (optional) can be a string naming a standard filter (see +% namedFilter), or a vector which will be used for (separable) +% convolution. Default = 'binom5'. EDGES specifies edge-handling, +% and defaults to 'reflect1' (see corrDn). + +% Eero Simoncelli, 6/96 + +function res = reconLpyr(pyr, ind, levs, filt2, edges) + +if (nargin < 2) + error('First two arguments (PYR, INDICES) are required'); +end + +%%------------------------------------------------------------ +%% DEFAULTS: + +if (exist('levs') ~= 1) + levs = 'all'; +end + +if (exist('filt2') ~= 1) + filt2 = 'binom5'; +end + +if (exist('edges') ~= 1) + edges= 'reflect1'; +end +%%------------------------------------------------------------ + +maxLev = 1+lpyrHt(ind); +if strcmp(levs,'all') + levs = [1:maxLev]'; +else + if (any(levs > maxLev)) + error(sprintf('Level numbers must be in the range [1, %d].', maxLev)); + end + levs = levs(:); +end + +if isstr(filt2) + filt2 = namedFilter(filt2); +end + +filt2 = filt2(:); +res_sz = ind(1,:); + +if any(levs > 1) + + int_sz = [ind(1,1), ind(2,2)]; + + nres = reconLpyr( pyr(prod(res_sz)+1:size(pyr,1)), ... + ind(2:size(ind,1),:), levs-1, filt2, edges); + + if (res_sz(1) == 1) + res = upConv(nres, filt2', edges, [1 2], [1 1], res_sz); + elseif (res_sz(2) == 1) + res = upConv(nres, filt2, edges, [2 1], [1 1], res_sz); + else + hi = upConv(nres, filt2, edges, [2 1], [1 1], int_sz); + res = upConv(hi, filt2', edges, [1 2], [1 1], res_sz); + end + +else + + res = zeros(res_sz); + +end + +if any(levs == 1) + res = res + pyrBand(pyr,ind,1); +end diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/reconSCFpyr.m b/matlab/external/gptoolbox/external/matlabPyrTools/reconSCFpyr.m new file mode 100644 index 0000000..a86f03d --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/reconSCFpyr.m @@ -0,0 +1,87 @@ +% RES = reconSCFpyr(PYR, INDICES, LEVS, BANDS, TWIDTH) +% +% The inverse of buildSCFpyr: Reconstruct image from its complex steerable pyramid representation, +% in the Fourier domain. +% +% The image is reconstructed by forcing the complex subbands to be analytic +% (zero on half of the 2D Fourier plane, as they are supossed to be unless +% they have being modified), and reconstructing from the real part of those +% analytic subbands. That is equivalent to compute the Hilbert transforms of +% the imaginary parts of the subbands, average them with their real +% counterparts, and then reconstructing from the resulting real subbands. +% +% PYR is a vector containing the N pyramid subbands, ordered from fine +% to coarse. INDICES is an Nx2 matrix containing the sizes of +% each subband. This is compatible with the MatLab Wavelet toolbox. +% +% LEVS (optional) should be a list of levels to include, or the string +% 'all' (default). 0 corresonds to the residual highpass subband. +% 1 corresponds to the finest oriented scale. The lowpass band +% corresponds to number spyrHt(INDICES)+1. +% +% BANDS (optional) should be a list of bands to include, or the string +% 'all' (default). 1 = vertical, rest proceeding anti-clockwise. +% +% TWIDTH is the width of the transition region of the radial lowpass +% function, in octaves (default = 1, which gives a raised cosine for +% the bandpass filters). + +% Javier Portilla, 7/04, basing on Eero Simoncelli's Matlab Pyrtools code +% and our common code on texture synthesis (textureSynthesis.m). + +function res = reconSCFpyr(pyr, indices, levs, bands, twidth) + +%%------------------------------------------------------------ +%% DEFAULTS: + +if ~exist('levs'), + levs = 'all'; +end + +if ~exist('bands') + bands = 'all'; +end + +if ~exist('twidth'), + twidth = 1; +elseif (twidth <= 0) + fprintf(1,'Warning: TWIDTH must be positive. Setting to 1.\n'); + twidth = 1; +end + +%%------------------------------------------------------------ + + +pind = indices; +Nsc = log2(pind(1,1)/pind(end,1)); +Nor = (size(pind,1)-2)/Nsc; + +for nsc = 1:Nsc, + firstBnum = (nsc-1)*Nor+2; + +%% Re-create analytic subbands + dims = pind(firstBnum,:); + ctr = ceil((dims+0.5)/2); + ang = mkAngle(dims, 0, ctr); + ang(ctr(1),ctr(2)) = -pi/2; + for nor = 1:Nor, + nband = (nsc-1)*Nor+nor+1; + ind = pyrBandIndices(pind,nband); + ch = pyrBand(pyr, pind, nband); + ang0 = pi*(nor-1)/Nor; + xang = mod(ang-ang0+pi, 2*pi) - pi; + amask = 2*(abs(xang) < pi/2) + (abs(xang) == pi/2); + amask(ctr(1),ctr(2)) = 1; + amask(:,1) = 1; + amask(1,:) = 1; + amask = fftshift(amask); + ch = ifft2(amask.*fft2(ch)); % "Analytic" version + %f = 1.000008; % With this factor the reconstruction SNR goes up around 6 dB! + f = 1; + ch = f*0.5*real(ch); % real part + pyr(ind) = ch; + end % nor +end % nsc + +res = reconSFpyr(pyr, indices, levs, bands, twidth); + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/reconSFpyr.m b/matlab/external/gptoolbox/external/matlabPyrTools/reconSFpyr.m new file mode 100644 index 0000000..0e3109e --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/reconSFpyr.m @@ -0,0 +1,108 @@ +% RES = reconSFpyr(PYR, INDICES, LEVS, BANDS, TWIDTH) +% +% Reconstruct image from its steerable pyramid representation, in the Fourier +% domain, as created by buildSFpyr. +% +% PYR is a vector containing the N pyramid subbands, ordered from fine +% to coarse. INDICES is an Nx2 matrix containing the sizes of +% each subband. This is compatible with the MatLab Wavelet toolbox. +% +% LEVS (optional) should be a list of levels to include, or the string +% 'all' (default). 0 corresonds to the residual highpass subband. +% 1 corresponds to the finest oriented scale. The lowpass band +% corresponds to number spyrHt(INDICES)+1. +% +% BANDS (optional) should be a list of bands to include, or the string +% 'all' (default). 1 = vertical, rest proceeding anti-clockwise. +% +% TWIDTH is the width of the transition region of the radial lowpass +% function, in octaves (default = 1, which gives a raised cosine for +% the bandpass filters). + +%%% MODIFIED VERSION, 7/04, uses different lookup table for radial frequency! + +% Eero Simoncelli, 5/97. + +function res = reconSFpyr(pyr, pind, levs, bands, twidth) + +%%------------------------------------------------------------ +%% DEFAULTS: + +if (exist('levs') ~= 1) + levs = 'all'; +end + +if (exist('bands') ~= 1) + bands = 'all'; +end + +if (exist('twidth') ~= 1) + twidth = 1; +elseif (twidth <= 0) + fprintf(1,'Warning: TWIDTH must be positive. Setting to 1.\n'); + twidth = 1; +end + +%%------------------------------------------------------------ + +nbands = spyrNumBands(pind); + +maxLev = 1+spyrHt(pind); +if strcmp(levs,'all') + levs = [0:maxLev]'; +else + if (any(levs > maxLev) | any(levs < 0)) + error(sprintf('Level numbers must be in the range [0, %d].', maxLev)); + end + levs = levs(:); +end + +if strcmp(bands,'all') + bands = [1:nbands]'; +else + if (any(bands < 1) | any(bands > nbands)) + error(sprintf('Band numbers must be in the range [1,3].', nbands)); + end + bands = bands(:); +end + +%---------------------------------------------------------------------- + +dims = pind(1,:); +ctr = ceil((dims+0.5)/2); + +[xramp,yramp] = meshgrid( ([1:dims(2)]-ctr(2))./(dims(2)/2), ... + ([1:dims(1)]-ctr(1))./(dims(1)/2) ); +angle = atan2(yramp,xramp); +log_rad = sqrt(xramp.^2 + yramp.^2); +log_rad(ctr(1),ctr(2)) = log_rad(ctr(1),ctr(2)-1); +log_rad = log2(log_rad); + +%% Radial transition function (a raised cosine in log-frequency): +[Xrcos,Yrcos] = rcosFn(twidth,(-twidth/2),[0 1]); +Yrcos = sqrt(Yrcos); +YIrcos = sqrt(abs(1.0 - Yrcos.^2)); + +if (size(pind,1) == 2) + if (any(levs==1)) + resdft = fftshift(fft2(pyrBand(pyr,pind,2))); + else + resdft = zeros(pind(2,:)); + end +else + resdft = reconSFpyrLevs(pyr(1+prod(pind(1,:)):size(pyr,1)), ... + pind(2:size(pind,1),:), ... + log_rad, Xrcos, Yrcos, angle, nbands, levs, bands); +end + +lo0mask = pointOp(log_rad, YIrcos, Xrcos(1), Xrcos(2)-Xrcos(1), 0); +resdft = resdft .* lo0mask; + +%% residual highpass subband +if any(levs == 0) + hi0mask = pointOp(log_rad, Yrcos, Xrcos(1), Xrcos(2)-Xrcos(1), 0); + hidft = fftshift(fft2(subMtx(pyr, pind(1,:)))); + resdft = resdft + hidft .* hi0mask; +end + +res = real(ifft2(ifftshift(resdft))); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/reconSFpyrLevs.m b/matlab/external/gptoolbox/external/matlabPyrTools/reconSFpyrLevs.m new file mode 100644 index 0000000..420f278 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/reconSFpyrLevs.m @@ -0,0 +1,69 @@ +% RESDFT = reconSFpyrLevs(PYR,INDICES,LOGRAD,XRCOS,YRCOS,ANGLE,NBANDS,LEVS,BANDS) +% +% Recursive function for reconstructing levels of a steerable pyramid +% representation. This is called by reconSFpyr, and is not usually +% called directly. + +% Eero Simoncelli, 5/97. + +function resdft = reconSFpyrLevs(pyr,pind,log_rad,Xrcos,Yrcos,angle,nbands,levs,bands); + +lo_ind = nbands+1; +dims = pind(1,:); +ctr = ceil((dims+0.5)/2); + +% log_rad = log_rad + 1; +Xrcos = Xrcos - log2(2); % shift origin of lut by 1 octave. + +if any(levs > 1) + + lodims = ceil((dims-0.5)/2); + loctr = ceil((lodims+0.5)/2); + lostart = ctr-loctr+1; + loend = lostart+lodims-1; + nlog_rad = log_rad(lostart(1):loend(1),lostart(2):loend(2)); + nangle = angle(lostart(1):loend(1),lostart(2):loend(2)); + + if (size(pind,1) > lo_ind) + nresdft = reconSFpyrLevs( pyr(1+sum(prod(pind(1:lo_ind-1,:)')):size(pyr,1)),... + pind(lo_ind:size(pind,1),:), ... + nlog_rad, Xrcos, Yrcos, nangle, nbands,levs-1, bands); + else + nresdft = fftshift(fft2(pyrBand(pyr,pind,lo_ind))); + end + + YIrcos = sqrt(abs(1.0 - Yrcos.^2)); + lomask = pointOp(nlog_rad, YIrcos, Xrcos(1), Xrcos(2)-Xrcos(1), 0); + + resdft = zeros(dims); + resdft(lostart(1):loend(1),lostart(2):loend(2)) = nresdft .* lomask; + +else + + resdft = zeros(dims); + +end + + +if any(levs == 1) + + lutsize = 1024; + Xcosn = pi*[-(2*lutsize+1):(lutsize+1)]/lutsize; % [-2*pi:pi] + order = nbands-1; + %% divide by sqrt(sum_(n=0)^(N-1) cos(pi*n/N)^(2(N-1)) ) + const = (2^(2*order))*(factorial(order)^2)/(nbands*factorial(2*order)); + Ycosn = sqrt(const) * (cos(Xcosn)).^order; + himask = pointOp(log_rad, Yrcos, Xrcos(1), Xrcos(2)-Xrcos(1),0); + + ind = 1; + for b = 1:nbands + if any(bands == b) + anglemask = pointOp(angle,Ycosn,Xcosn(1)+pi*(b-1)/nbands,Xcosn(2)-Xcosn(1)); + band = reshape(pyr(ind:ind+prod(dims)-1), dims(1), dims(2)); + banddft = fftshift(fft2(band)); + resdft = resdft + (sqrt(-1))^(nbands-1) * banddft.*anglemask.*himask; + end + ind = ind + prod(dims); + end +end + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/reconSpyr.m b/matlab/external/gptoolbox/external/matlabPyrTools/reconSpyr.m new file mode 100644 index 0000000..fc9317f --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/reconSpyr.m @@ -0,0 +1,96 @@ +% RES = reconSpyr(PYR, INDICES, FILTFILE, EDGES, LEVS, BANDS) +% +% Reconstruct image from its steerable pyramid representation, as created +% by buildSpyr. +% +% PYR is a vector containing the N pyramid subbands, ordered from fine +% to coarse. INDICES is an Nx2 matrix containing the sizes of +% each subband. This is compatible with the MatLab Wavelet toolbox. +% +% FILTFILE (optional) should be a string referring to an m-file that returns +% the rfilters. examples: sp0Filters, sp1Filters, sp3Filters +% (default = 'sp1Filters'). +% EDGES specifies edge-handling, and defaults to 'reflect1' (see +% corrDn). +% +% LEVS (optional) should be a list of levels to include, or the string +% 'all' (default). 0 corresonds to the residual highpass subband. +% 1 corresponds to the finest oriented scale. The lowpass band +% corresponds to number spyrHt(INDICES)+1. +% +% BANDS (optional) should be a list of bands to include, or the string +% 'all' (default). 1 = vertical, rest proceeding anti-clockwise. + +% Eero Simoncelli, 6/96. + +function res = reconSpyr(pyr, pind, filtfile, edges, levs, bands) + +%%------------------------------------------------------------ +%% DEFAULTS: + +if (exist('filtfile') ~= 1) + filtfile = 'sp1Filters'; +end + +if (exist('edges') ~= 1) + edges= 'reflect1'; +end + +if (exist('levs') ~= 1) + levs = 'all'; +end + +if (exist('bands') ~= 1) + bands = 'all'; +end + +%%------------------------------------------------------------ + +if (isstr(filtfile) & (exist(filtfile) == 2)) + [lo0filt,hi0filt,lofilt,bfilts,steermtx,harmonics] = eval(filtfile); + nbands = spyrNumBands(pind); + if ((nbands > 0) & (size(bfilts,2) ~= nbands)) + error('Number of pyramid bands is inconsistent with filter file'); + end +else + error('filtfile argument must be the name of an M-file containing SPYR filters.'); +end + +maxLev = 1+spyrHt(pind); +if strcmp(levs,'all') + levs = [0:maxLev]'; +else + if (any(levs > maxLev) | any(levs < 0)) + error(sprintf('Level numbers must be in the range [0, %d].', maxLev)); + end + levs = levs(:); +end + +if strcmp(bands,'all') + bands = [1:nbands]'; +else + if (any(bands < 1) | any(bands > nbands)) + error(sprintf('Band numbers must be in the range [1,3].', nbands)); + end + bands = bands(:); +end + +if (spyrHt(pind) == 0) + if (any(levs==1)) + res1 = pyrBand(pyr,pind,2); + else + res1 = zeros(pind(2,:)); + end +else + res1 = reconSpyrLevs(pyr(1+prod(pind(1,:)):size(pyr,1)), ... + pind(2:size(pind,1),:), ... + lofilt, bfilts, edges, levs, bands); +end + +res = upConv(res1, lo0filt, edges); + +%% residual highpass subband +if any(levs == 0) + res = upConv( subMtx(pyr, pind(1,:)), hi0filt, edges, [1 1], [1 1], size(res), res); +end + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/reconSpyrLevs.m b/matlab/external/gptoolbox/external/matlabPyrTools/reconSpyrLevs.m new file mode 100644 index 0000000..e8db963 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/reconSpyrLevs.m @@ -0,0 +1,46 @@ +% RES = reconSpyrLevs(PYR,INDICES,LOFILT,BFILTS,EDGES,LEVS,BANDS) +% +% Recursive function for reconstructing levels of a steerable pyramid +% representation. This is called by reconSpyr, and is not usually +% called directly. + +% Eero Simoncelli, 6/96. + +function res = reconSpyrLevs(pyr,pind,lofilt,bfilts,edges,levs,bands); + +nbands = size(bfilts,2); +lo_ind = nbands+1; +res_sz = pind(1,:); + +% Assume square filters: +bfiltsz = round(sqrt(size(bfilts,1))); + +if any(levs > 1) + + if (size(pind,1) > lo_ind) + nres = reconSpyrLevs( pyr(1+sum(prod(pind(1:lo_ind-1,:)')):size(pyr,1)), ... + pind(lo_ind:size(pind,1),:), ... + lofilt, bfilts, edges, levs-1, bands); + else + nres = pyrBand(pyr,pind,lo_ind); % lowpass subband + end + + res = upConv(nres, lofilt, edges, [2 2], [1 1], res_sz); + +else + + res = zeros(res_sz); + +end + +if any(levs == 1) + ind = 1; + for b = 1:nbands + if any(bands == b) + bfilt = reshape(bfilts(:,b), bfiltsz, bfiltsz); + res = upConv(reshape(pyr(ind:ind+prod(res_sz)-1), res_sz(1), res_sz(2)), ... + bfilt, edges, [1 1], [1 1], res_sz, res); + end + ind = ind + prod(res_sz); + end +end diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/reconWpyr.m b/matlab/external/gptoolbox/external/matlabPyrTools/reconWpyr.m new file mode 100644 index 0000000..fc31226 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/reconWpyr.m @@ -0,0 +1,148 @@ +% RES = reconWpyr(PYR, INDICES, FILT, EDGES, LEVS, BANDS) +% +% Reconstruct image from its separable orthonormal QMF/wavelet pyramid +% representation, as created by buildWpyr. +% +% PYR is a vector containing the N pyramid subbands, ordered from fine +% to coarse. INDICES is an Nx2 matrix containing the sizes of +% each subband. This is compatible with the MatLab Wavelet toolbox. +% +% FILT (optional) can be a string naming a standard filter (see +% namedFilter), or a vector which will be used for (separable) +% convolution. Default = 'qmf9'. EDGES specifies edge-handling, +% and defaults to 'reflect1' (see corrDn). +% +% LEVS (optional) should be a vector of levels to include, or the string +% 'all' (default). 1 corresponds to the finest scale. The lowpass band +% corresponds to wpyrHt(INDICES)+1. +% +% BANDS (optional) should be a vector of bands to include, or the string +% 'all' (default). 1=horizontal, 2=vertical, 3=diagonal. This is only used +% for pyramids of 2D images. + +% Eero Simoncelli, 6/96. + +function res = reconWpyr(pyr, ind, filt, edges, levs, bands) + +if (nargin < 2) + error('First two arguments (PYR INDICES) are required'); +end + +%%------------------------------------------------------------ +%% OPTIONAL ARGS: + +if (exist('filt') ~= 1) + filt = 'qmf9'; +end + +if (exist('edges') ~= 1) + edges= 'reflect1'; +end + +if (exist('levs') ~= 1) + levs = 'all'; +end + +if (exist('bands') ~= 1) + bands = 'all'; +end + +%%------------------------------------------------------------ + +maxLev = 1+wpyrHt(ind); +if strcmp(levs,'all') + levs = [1:maxLev]'; +else + if (any(levs > maxLev)) + error(sprintf('Level numbers must be in the range [1, %d].', maxLev)); + end + levs = levs(:); +end + +if strcmp(bands,'all') + bands = [1:3]'; +else + if (any(bands < 1) | any(bands > 3)) + error('Band numbers must be in the range [1,3].'); + end + bands = bands(:); +end + +if isstr(filt) + filt = namedFilter(filt); +end + +filt = filt(:); +hfilt = modulateFlip(filt); + +%% For odd-length filters, stagger the sampling lattices: +if (mod(size(filt,1),2) == 0) + stag = 2; +else + stag = 1; +end + +%% Compute size of result image: assumes critical sampling (boundaries correct) +res_sz = ind(1,:); +if (res_sz(1) == 1) + loind = 2; + res_sz(2) = sum(ind(:,2)); +elseif (res_sz(2) == 1) + loind = 2; + res_sz(1) = sum(ind(:,1)); +else + loind = 4; + res_sz = ind(1,:) + ind(2,:); %%horizontal + vertical bands. + hres_sz = [ind(1,1), res_sz(2)]; + lres_sz = [ind(2,1), res_sz(2)]; +end + + +%% First, recursively collapse coarser scales: +if any(levs > 1) + + if (size(ind,1) > loind) + nres = reconWpyr( pyr(1+sum(prod(ind(1:loind-1,:)')):size(pyr,1)), ... + ind(loind:size(ind,1),:), filt, edges, levs-1, bands); + else + nres = pyrBand(pyr, ind, loind); % lowpass subband + end + + if (res_sz(1) == 1) + res = upConv(nres, filt', edges, [1 2], [1 stag], res_sz); + elseif (res_sz(2) == 1) + res = upConv(nres, filt, edges, [2 1], [stag 1], res_sz); + else + ires = upConv(nres, filt', edges, [1 2], [1 stag], lres_sz); + res = upConv(ires, filt, edges, [2 1], [stag 1], res_sz); + end + +else + + res = zeros(res_sz); + +end + + +%% Add in reconstructed bands from this level: +if any(levs == 1) + if (res_sz(1) == 1) + upConv(pyrBand(pyr,ind,1), hfilt', edges, [1 2], [1 2], res_sz, res); + elseif (res_sz(2) == 1) + upConv(pyrBand(pyr,ind,1), hfilt, edges, [2 1], [2 1], res_sz, res); + else + if any(bands == 1) % horizontal + ires = upConv(pyrBand(pyr,ind,1),filt',edges,[1 2],[1 stag],hres_sz); + upConv(ires,hfilt,edges,[2 1],[2 1],res_sz,res); %destructively modify res + end + if any(bands == 2) % vertical + ires = upConv(pyrBand(pyr,ind,2),hfilt',edges,[1 2],[1 2],lres_sz); + upConv(ires,filt,edges,[2 1],[stag 1],res_sz,res); %destructively modify res + end + if any(bands == 3) % diagonal + ires = upConv(pyrBand(pyr,ind,3),hfilt',edges,[1 2],[1 2],hres_sz); + upConv(ires,hfilt,edges,[2 1],[2 1],res_sz,res); %destructively modify res + end + end +end + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/setPyrBand.m b/matlab/external/gptoolbox/external/matlabPyrTools/setPyrBand.m new file mode 100644 index 0000000..099022d --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/setPyrBand.m @@ -0,0 +1,32 @@ +% NEWPYR = setPyrBand(PYR, INDICES, NEWBAND, BAND_NUM) +% +% Insert an image (BAND) into a pyramid (gaussian, laplacian, QMF/wavelet, +% or steerable). Subbands are numbered consecutively, from finest +% (highest spatial frequency) to coarsest (lowest spatial frequency). + +% Eero Simoncelli, 1/03. + +function pyr = setPyrBand(pyr, pind, band, bandNum) + +%% Check: PIND a valid index matrix? +if ( ~(ndims(pind) == 2) | ~(size(pind,2) == 2) | ~all(pind==round(pind)) ) + pind + error('pyrTools:badArg',... + 'PIND argument is not an Nbands X 2 matrix of integers'); +end + +%% Check: PIND consistent with size of PYR? +if ( length(pyr) ~= sum(prod(pind,2)) ) + error('pyrTools:badPyr',... + 'Pyramid data vector length is inconsistent with index matrix PIND'); +end + +%% Check: size of BAND consistent with desired BANDNUM? +if (~all(size(band) == pind(bandNum,:))) + size(band) + pind(bandNum,:) + error('pyrTools:badArg',... + 'size of BAND to be inserted is inconsistent with BAND_NUM'); +end + +pyr(pyrBandIndices(pind,bandNum)) = vectify(band); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/shift.m b/matlab/external/gptoolbox/external/matlabPyrTools/shift.m new file mode 100644 index 0000000..497297e --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/shift.m @@ -0,0 +1,15 @@ +% [RES] = shift(MTX, OFFSET) +% +% Circular shift 2D matrix samples by OFFSET (a [Y,X] 2-vector), +% such that RES(POS) = MTX(POS-OFFSET). + +function res = shift(mtx, offset) + +dims = size(mtx); + +offset = mod(-offset,dims); + +res = [ mtx(offset(1)+1:dims(1), offset(2)+1:dims(2)), ... + mtx(offset(1)+1:dims(1), 1:offset(2)); ... + mtx(1:offset(1), offset(2)+1:dims(2)), ... + mtx(1:offset(1), 1:offset(2)) ]; diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/showIm.m b/matlab/external/gptoolbox/external/matlabPyrTools/showIm.m new file mode 100644 index 0000000..a9e2bd1 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/showIm.m @@ -0,0 +1,221 @@ +% RANGE = showIm (MATRIX, RANGE, ZOOM, LABEL, NSHADES ) +% +% Display a MatLab MATRIX as a grayscale image in the current figure, +% inside the current axes. If MATRIX is complex, the real and imaginary +% parts are shown side-by-side, with the same grayscale mapping. +% +% If MATRIX is a string, it should be the name of a variable bound to a +% MATRIX in the base (global) environment. This matrix is displayed as an +% image, with the title set to the string. +% +% RANGE (optional) is a 2-vector specifying the values that map to +% black and white, respectively. Passing a value of 'auto' (default) +% sets RANGE=[min,max] (as in MatLab's imagesc). 'auto2' sets +% RANGE=[mean-2*stdev, mean+2*stdev]. 'auto3' sets +% RANGE=[p1-(p2-p1)/8, p2+(p2-p1)/8], where p1 is the 10th percentile +% value of the sorted MATRIX samples, and p2 is the 90th percentile +% value. +% +% ZOOM specifies the number of matrix samples per screen pixel. It +% will be rounded to an integer, or 1 divided by an integer. A value +% of 'same' or 'auto' (default) causes the zoom value to be chosen +% automatically to fit the image into the current axes. A value of +% 'full' fills the axis region (leaving no room for labels). See +% pixelAxes.m. +% +% If LABEL (optional, default = 1, unless zoom='full') is non-zero, the range +% of values that are mapped into the gray colormap and the dimensions +% (size) of the matrix and zoom factor are printed below the image. If label +% is a string, it is used as a title. +% +% NSHADES (optional) specifies the number of gray shades, and defaults +% to the size of the current colormap. + +% Eero Simoncelli, 6/96. + +%%TODO: should use "newplot" + +function range = showIm( im, range, zoom, label, nshades ); + +%------------------------------------------------------------ +%% OPTIONAL ARGS: + +if (nargin < 1) + error('Requires at least one input argument.'); +end + +MLv = version; + +if isstr(im) + if (strcmp(MLv(1),'4')) + error('Cannot pass string arg for MATRIX in MatLab version 4.x'); + end + label = im; + im = evalin('base',im); +end + +if (exist('range') ~= 1) + range = 'auto1'; +end + +if (exist('nshades') ~= 1) + nshades = size(colormap,1); +end +nshades = max( nshades, 2 ); + +if (exist('zoom') ~= 1) + zoom = 'auto'; +end + +if (exist('label') ~= 1) + if strcmp(zoom,'full') + label = 0; % no labeling + else + label = 1; % just print grayrange & dims + end +end + +%------------------------------------------------------------ + +%% Automatic range calculation: +if (strcmp(range,'auto1') | strcmp(range,'auto')) + if isreal(im) + [mn,mx] = range2(im); + else + [mn1,mx1] = range2(real(im)); + [mn2,mx2] = range2(imag(im)); + mn = min(mn1,mn2); + mx = max(mx1,mx2); + end + if any(size(im)==1) + pad = (mx-mn)/12; % MAGIC NUMBER: graph padding + range = [mn-pad, mx+pad]; + else + range = [mn,mx]; + end + +elseif strcmp(range,'auto2') + if isreal(im) + stdev = sqrt(var2(im)); + av = mean2(im); + else + stdev = sqrt((var2(real(im)) + var2(imag(im)))/2); + av = (mean2(real(im)) + mean2(imag(im)))/2; + end + range = [av-2*stdev,av+2*stdev]; % MAGIC NUMBER: 2 stdevs + +elseif strcmp(range, 'auto3') + percentile = 0.1; % MAGIC NUMBER: 0 1) + zformat = sprintf('* %d',round(zoom)); + else + zformat = sprintf('/ %d',round(1/zoom)); + end + if isreal(im) + format=[' Range: [%.3g, %.3g] \n Dims: [%d, %d] ', zformat]; + else + format=['Range: [%.3g, %.3g] ---- Dims: [%d, %d]', zformat]; + end + xlabel(sprintf(format, range(1), range(2), size(im,1), size(im,2))); + h = get(gca,'Xlabel'); + set(h,'FontSize', 9); % MAGIC NUMBER: font size!!! + + orig_units = get(h,'Units'); + set(h,'Units','points'); + pos = get(h,'Position'); + pos(1:2) = pos(1:2) + [xlbl_offset, 10]; % MAGIC NUMBER: y offset in points + set(h,'Position',pos); + set(h,'Units',orig_units); + + set(h,'Visible','on'); % axis('image') turned the xlabel off... + end +end + +return; diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/showLpyr.m b/matlab/external/gptoolbox/external/matlabPyrTools/showLpyr.m new file mode 100644 index 0000000..0d85f9d --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/showLpyr.m @@ -0,0 +1,202 @@ +% RANGE = showLpyr (PYR, INDICES, RANGE, GAP, LEVEL_SCALE_FACTOR) +% +% Display a Laplacian (or Gaussian) pyramid, specified by PYR and +% INDICES (see buildLpyr), in the current figure. +% +% RANGE is a 2-vector specifying the values that map to black and +% white, respectively. These values are scaled by +% LEVEL_SCALE_FACTOR^(lev-1) for bands at each level. Passing a value +% of 'auto1' sets RANGE to the min and max values of MATRIX. 'auto2' +% sets RANGE to 3 standard deviations below and above 0.0. In both of +% these cases, the lowpass band is independently scaled. A value of +% 'indep1' sets the range of each subband independently, as in a call +% to showIm(subband,'auto1'). Similarly, 'indep2' causes each subband +% to be scaled independently as if by showIm(subband,'indep2'). +% The default value for RANGE is 'auto1' for 1D images, and 'auto2' for +% 2D images. +% +% GAP (optional, default=1) specifies the gap in pixels to leave +% between subbands (2D images only). +% +% LEVEL_SCALE_FACTOR indicates the relative scaling between pyramid +% levels. This should be set to the sum of the kernel taps of the +% lowpass filter used to construct the pyramid (default assumes +% L2-normalalized filters, using a value of 2 for 2D images, sqrt(2) for +% 1D images). + +% Eero Simoncelli, 2/97. + +function [range] = showLpyr(pyr, pind, range, gap, scale); + +% Determine 1D or 2D pyramid: +if ((pind(1,1) == 1) | (pind(1,2) ==1)) + oned = 1; +else + oned = 0; +end + +%------------------------------------------------------------ +%% OPTIONAL ARGS: + +if (exist('range') ~= 1) + if (oned==1) + range = 'auto1'; + else + range = 'auto2'; + end +end + +if (exist('gap') ~= 1) + gap = 1; +end + +if (exist('scale') ~= 1) + if (oned == 1) + scale = sqrt(2); + else + scale = 2; + end +end + +%------------------------------------------------------------ + +nind = size(pind,1); + +%% Auto range calculations: +if strcmp(range,'auto1') + range = zeros(nind,1); + mn = 0.0; mx = 0.0; + for bnum = 1:(nind-1) + band = pyrBand(pyr,pind,bnum)/(scale^(bnum-1)); + range(bnum) = scale^(bnum-1); + [bmn,bmx] = range2(band); + mn = min(mn, bmn); mx = max(mx, bmx); + end + if (oned == 1) + pad = (mx-mn)/12; % *** MAGIC NUMBER!! + mn = mn-pad; mx = mx+pad; + end + range = range * [mn mx]; % outer product + band = pyrLow(pyr,pind); + [mn,mx] = range2(band); + if (oned == 1) + pad = (mx-mn)/12; % *** MAGIC NUMBER!! + mn = mn-pad; mx = mx+pad; + end + range(nind,:) = [mn, mx]; + +elseif strcmp(range,'indep1') + range = zeros(nind,2); + for bnum = 1:nind + band = pyrBand(pyr,pind,bnum); + [mn,mx] = range2(band); + if (oned == 1) + pad = (mx-mn)/12; % *** MAGIC NUMBER!! + mn = mn-pad; mx = mx+pad; + end + range(bnum,:) = [mn mx]; + end + +elseif strcmp(range,'auto2') + range = zeros(nind,1); + sqsum = 0; numpixels = 0; + for bnum = 1:(nind-1) + band = pyrBand(pyr,pind,bnum)/(scale^(bnum-1)); + sqsum = sqsum + sum(sum(band.^2)); + numpixels = numpixels + prod(size(band)); + range(bnum) = scale^(bnum-1); + end + stdev = sqrt(sqsum/(numpixels-1)); + range = range * [ -3*stdev 3*stdev ]; % outer product + band = pyrLow(pyr,pind); + av = mean2(band); stdev = sqrt(var2(band)); + range(nind,:) = [av-2*stdev,av+2*stdev]; + +elseif strcmp(range,'indep2') + range = zeros(nind,2); + for bnum = 1:(nind-1) + band = pyrBand(pyr,pind,bnum); + stdev = sqrt(var2(band)); + range(bnum,:) = [ -3*stdev 3*stdev ]; + end + band = pyrLow(pyr,pind); + av = mean2(band); stdev = sqrt(var2(band)); + range(nind,:) = [av-2*stdev,av+2*stdev]; + +elseif isstr(range) + error(sprintf('Bad RANGE argument: %s',range)) + +elseif ((size(range,1) == 1) & (size(range,2) == 2)) + scales = scale.^[0:nind-1]; + range = scales(:) * range; % outer product + band = pyrLow(pyr,pind); + range(nind,:) = range(nind,:) + mean2(band) - mean(range(nind,:)); + +end + +%% Clear Figure +clf; + +if (oned == 1) + + %%%%% 1D signal: + for bnum=1:nind + band = pyrBand(pyr,pind,bnum); + subplot(nind,1,nind-bnum+1); + plot(band); + axis([1, prod(size(band)), range(bnum,:)]); + end + +else + + %%%%% 2D signal: + colormap(gray); + cmap = get(gcf,'Colormap'); + nshades = size(cmap,1); + + % Find background color index: + clr = get(gcf,'Color'); + bg = 1; + dist = norm(cmap(bg,:)-clr); + for n = 1:nshades + ndist = norm(cmap(n,:)-clr); + if (ndist < dist) + dist = ndist; + bg = n; + end + end + + %% Compute positions of subbands: + llpos = ones(nind,2); + dir = [-1 -1]; + ctr = [pind(1,1)+1+gap 1]; + sz = [0 0]; + for bnum = 1:nind + prevsz = sz; + sz = pind(bnum,:); + + % Determine center position of new band: + ctr = ctr + gap*dir/2 + dir.* floor((prevsz+(dir>0))/2); + dir = dir * [0 -1; 1 0]; % ccw rotation + ctr = ctr + gap*dir/2 + dir.* floor((sz+(dir<0))/2); + llpos(bnum,:) = ctr - floor(sz./2); + end + + %% Make position list positive, and allocate appropriate image: + llpos = llpos - ones(nind,1)*min(llpos) + 1; + urpos = llpos + pind - 1; + d_im = bg + zeros(max(urpos)); + + %% Paste bands into image, (im-r1)*(nshades-1)/(r2-r1) + 1.5 + for bnum=1:nind + mult = (nshades-1) / (range(bnum,2)-range(bnum,1)); + d_im(llpos(bnum,1):urpos(bnum,1), llpos(bnum,2):urpos(bnum,2)) = ... + mult*pyrBand(pyr,pind,bnum) + (1.5-mult*range(bnum,1)); + end + + hh = image(d_im); + axis('off'); + pixelAxes(size(d_im),'full'); + set(hh,'UserData',range); + +end diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/showSpyr.m b/matlab/external/gptoolbox/external/matlabPyrTools/showSpyr.m new file mode 100644 index 0000000..da85715 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/showSpyr.m @@ -0,0 +1,188 @@ +% RANGE = showSpyr (PYR, INDICES, RANGE, GAP, LEVEL_SCALE_FACTOR) +% +% Display a steerable pyramid, specified by PYR and INDICES +% (see buildSpyr), in the current figure. The highpass band is not shown. +% +% RANGE is a 2-vector specifying the values that map to black and +% white, respectively. These values are scaled by +% LEVEL_SCALE_FACTOR^(lev-1) for bands at each level. Passing a value +% of 'auto1' sets RANGE to the min and max values of MATRIX. 'auto2' +% sets RANGE to 3 standard deviations below and above 0.0. In both of +% these cases, the lowpass band is independently scaled. A value of +% 'indep1' sets the range of each subband independently, as in a call +% to showIm(subband,'auto1'). Similarly, 'indep2' causes each subband +% to be scaled independently as if by showIm(subband,'indep2'). +% The default value for RANGE is 'auto2'. +% +% GAP (optional, default=1) specifies the gap in pixels to leave +% between subbands. +% +% LEVEL_SCALE_FACTOR indicates the relative scaling between pyramid +% levels. This should be set to the sum of the kernel taps of the +% lowpass filter used to construct the pyramid (default is 2, which is +% correct for L2-normalized filters. + +% Eero Simoncelli, 2/97. + +function [range] = showSpyr(pyr, pind, range, gap, scale); + +nbands = spyrNumBands(pind); + +%------------------------------------------------------------ +%% OPTIONAL ARGS: + +if (exist('range') ~= 1) + range = 'auto2'; +end + +if (exist('gap') ~= 1) + gap = 1; +end + +if (exist('scale') ~= 1) + scale = 2; +end + +%------------------------------------------------------------ + +ht = spyrHt(pind); +nind = size(pind,1); + +%% Auto range calculations: +if strcmp(range,'auto1') + range = ones(nind,1); + band = spyrHigh(pyr,pind); + [mn,mx] = range2(band); + for lnum = 1:ht + for bnum = 1:nbands + band = spyrBand(pyr,pind,lnum,bnum)/(scale^(lnum-1)); + range((lnum-1)*nbands+bnum+1) = scale^(lnum-1); + [bmn,bmx] = range2(band); + mn = min(mn, bmn); + mx = max(mx, bmx); + end + end + range = range * [mn mx]; % outer product + band = pyrLow(pyr,pind); + [mn,mx] = range2(band); + range(nind,:) = [mn, mx]; + +elseif strcmp(range,'indep1') + range = zeros(nind,2); + for bnum = 1:nind + band = pyrBand(pyr,pind,bnum); + [mn,mx] = range2(band); + range(bnum,:) = [mn mx]; + end + +elseif strcmp(range,'auto2') + range = ones(nind,1); + band = spyrHigh(pyr,pind); + sqsum = sum(sum(band.^2)); numpixels = prod(size(band)); + for lnum = 1:ht + for bnum = 1:nbands + band = spyrBand(pyr,pind,lnum,bnum)/(scale^(lnum-1)); + sqsum = sqsum + sum(sum(band.^2)); + numpixels = numpixels + prod(size(band)); + range((lnum-1)*nbands+bnum+1) = scale^(lnum-1); + end + end + stdev = sqrt(sqsum/(numpixels-1)); + range = range * [ -3*stdev 3*stdev ]; % outer product + band = pyrLow(pyr,pind); + av = mean2(band); stdev = sqrt(var2(band)); + range(nind,:) = [av-2*stdev,av+2*stdev]; + +elseif strcmp(range,'indep2') + range = zeros(nind,2); + for bnum = 1:(nind-1) + band = pyrBand(pyr,pind,bnum); + stdev = sqrt(var2(band)); + range(bnum,:) = [ -3*stdev 3*stdev ]; + end + band = pyrLow(pyr,pind); + av = mean2(band); stdev = sqrt(var2(band)); + range(nind,:) = [av-2*stdev,av+2*stdev]; + +elseif isstr(range) + error(sprintf('Bad RANGE argument: %s',range)) + +elseif ((size(range,1) == 1) & (size(range,2) == 2)) + scales = scale.^[0:(ht-1)]; + scales = ones(nbands,1) * scales; %outer product + scales = [1; scales(:); scale^ht]; %tack on highpass and lowpass + range = scales * range; % outer product + band = pyrLow(pyr,pind); + range(nind,:) = range(nind,:) + mean2(band) - mean(range(nind,:)); + +end + +% CLEAR FIGURE: +clf; + +colormap(gray); +cmap = get(gcf,'Colormap'); +nshades = size(cmap,1); + +% Find background color index: +clr = get(gcf,'Color'); +bg = 1; +dist = norm(cmap(bg,:)-clr); +for n = 1:nshades + ndist = norm(cmap(n,:)-clr); + if (ndist < dist) + dist = ndist; + bg = n; + end +end + +%% Compute positions of subbands: +llpos = ones(nind,2); + +if (nbands == 2) + ncols = 1; nrows = 2; +else + ncols = ceil((nbands+1)/2); nrows = ceil(nbands/2); +end +relpos = [ (1-nrows):0, zeros(1,(ncols-1)); ... + zeros(1,nrows), -1:-1:(1-ncols) ]'; +if (nbands > 1) + mvpos = [-1 -1]; +else + mvpos = [0 -1]; +end +basepos = [0 0]; + +for lnum = 1:ht + ind1 = (lnum-1)*nbands + 2; + sz = pind(ind1,:)+gap; + basepos = basepos + mvpos .* sz; + if (nbands < 5) % to align edges... + sz = sz + gap*(ht-lnum+1); + end + llpos(ind1:ind1+nbands-1,:) = relpos * diag(sz) + ones(nbands,1)*basepos; +end + +% lowpass band +sz = pind(nind-1,:)+gap; +basepos = basepos + mvpos .* sz; +llpos(nind,:) = basepos; + +%% Make position list positive, and allocate appropriate image: +llpos = llpos - ones(nind,1)*min(llpos) + 1; +llpos(1,:) = [1 1]; +urpos = llpos + pind - 1; +d_im = bg + zeros(max(urpos)); + +%% Paste bands into image, (im-r1)*(nshades-1)/(r2-r1) + 1.5 +for bnum=2:nind + mult = (nshades-1) / (range(bnum,2)-range(bnum,1)); + d_im(llpos(bnum,1):urpos(bnum,1), llpos(bnum,2):urpos(bnum,2)) = ... + mult*pyrBand(pyr,pind,bnum) + (1.5-mult*range(bnum,1)); +end + +hh = image(d_im); +axis('off'); +pixelAxes(size(d_im),'full'); +set(hh,'UserData',range); + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/showWpyr.m b/matlab/external/gptoolbox/external/matlabPyrTools/showWpyr.m new file mode 100644 index 0000000..510e395 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/showWpyr.m @@ -0,0 +1,204 @@ +% RANGE = showWpyr (PYR, INDICES, RANGE, GAP, LEVEL_SCALE_FACTOR) +% +% Display a separable QMF/wavelet pyramid, specified by PYR and INDICES +% (see buildWpyr), in the current figure. +% +% RANGE is a 2-vector specifying the values that map to black and +% white, respectively. These values are scaled by +% LEVEL_SCALE_FACTOR^(lev-1) for bands at each level. Passing a value +% of 'auto1' sets RANGE to the min and max values of MATRIX. 'auto2' +% sets RANGE to 3 standard deviations below and above 0.0. In both of +% these cases, the lowpass band is independently scaled. A value of +% 'indep1' sets the range of each subband independently, as in a call +% to showIm(subband,'auto1'). Similarly, 'indep2' causes each subband +% to be scaled independently as if by showIm(subband,'indep2'). +% The default value for RANGE is 'auto1' for 1D images, and 'auto2' for +% 2D images. +% +% GAP (optional, default=1) specifies the gap in pixels to leave +% between subbands (2D images only). +% +% LEVEL_SCALE_FACTOR indicates the relative scaling between pyramid +% levels. This should be set to the sum of the kernel taps of the +% lowpass filter used to construct the pyramid (default assumes +% L2-normalized filters, using a value of 2 for 2D images, sqrt(2) for +% 1D images). + +% Eero Simoncelli, 2/97. + +function [range] = showWpyr(pyr, pind, range, gap, scale); + +% Determine 1D or 2D pyramid: +if ((pind(1,1) == 1) | (pind(1,2) ==1)) + nbands = 1; +else + nbands = 3; +end + +%------------------------------------------------------------ +%% OPTIONAL ARGS: + +if (exist('range') ~= 1) + if (nbands==1) + range = 'auto1'; + else + range = 'auto2'; + end +end + +if (exist('gap') ~= 1) + gap = 1; +end + +if (exist('scale') ~= 1) + if (nbands == 1) + scale = sqrt(2); + else + scale = 2; + end +end + +%------------------------------------------------------------ + +ht = wpyrHt(pind); +nind = size(pind,1); + +%% Auto range calculations: +if strcmp(range,'auto1') + range = zeros(nind,1); + mn = 0.0; mx = 0.0; + for lnum = 1:ht + for bnum = 1:nbands + band = wpyrBand(pyr,pind,lnum,bnum)/(scale^(lnum-1)); + range((lnum-1)*nbands+bnum) = scale^(lnum-1); + [bmn,bmx] = range2(band); + mn = min(mn, bmn); mx = max(mx, bmx); + end + end + if (nbands == 1) + pad = (mx-mn)/12; % *** MAGIC NUMBER!! + mn = mn-pad; mx = mx+pad; + end + range = range * [mn mx]; % outer product + band = pyrLow(pyr,pind); + [mn,mx] = range2(band); + if (nbands == 1) + pad = (mx-mn)/12; % *** MAGIC NUMBER!! + mn = mn-pad; mx = mx+pad; + end + range(nind,:) = [mn, mx]; + +elseif strcmp(range,'indep1') + range = zeros(nind,2); + for bnum = 1:nind + band = pyrBand(pyr,pind,bnum); + [mn,mx] = range2(band); + if (nbands == 1) + pad = (mx-mn)/12; % *** MAGIC NUMBER!! + mn = mn-pad; mx = mx+pad; + end + range(bnum,:) = [mn mx]; + end + +elseif strcmp(range,'auto2') + range = zeros(nind,1); + sqsum = 0; numpixels = 0; + for lnum = 1:ht + for bnum = 1:nbands + band = wpyrBand(pyr,pind,lnum,bnum)/(scale^(lnum-1)); + sqsum = sqsum + sum(sum(band.^2)); + numpixels = numpixels + prod(size(band)); + range((lnum-1)*nbands+bnum) = scale^(lnum-1); + end + end + stdev = sqrt(sqsum/(numpixels-1)); + range = range * [ -3*stdev 3*stdev ]; % outer product + band = pyrLow(pyr,pind); + av = mean2(band); stdev = sqrt(var2(band)); + range(nind,:) = [av-2*stdev,av+2*stdev]; + +elseif strcmp(range,'indep2') + range = zeros(nind,2); + for bnum = 1:(nind-1) + band = pyrBand(pyr,pind,bnum); + stdev = sqrt(var2(band)); + range(bnum,:) = [ -3*stdev 3*stdev ]; + end + band = pyrLow(pyr,pind); + av = mean2(band); stdev = sqrt(var2(band)); + range(nind,:) = [av-2*stdev,av+2*stdev]; + +elseif isstr(range) + error(sprintf('Bad RANGE argument: %s',range)) + +elseif ((size(range,1) == 1) & (size(range,2) == 2)) + scales = scale.^[0:ht]; + if (nbands ~= 1) + scales = [scales; scales; scales]; + end + range = scales(:) * range; % outer product + band = pyrLow(pyr,pind); + range(nind,:) = range(nind,:) + mean2(band) - mean(range(nind,:)); + +end + +% CLEAR FIGURE: +clf; + +if (nbands == 1) + + %%%%% 1D signal: + for bnum=1:nind + band = pyrBand(pyr,pind,bnum); + subplot(nind,1,nind-bnum+1); + plot(band); + axis([1, prod(size(band)), range(bnum,:)]); + end + +else + + %%%%% 2D signal: + colormap(gray); + cmap = get(gcf,'Colormap'); + nshades = size(cmap,1); + + % Find background color index: + clr = get(gcf,'Color'); + bg = 1; + dist = norm(cmap(bg,:)-clr); + for n = 1:nshades + ndist = norm(cmap(n,:)-clr); + if (ndist < dist) + dist = ndist; + bg = n; + end + end + + %% Compute positions of subbands: + llpos = ones(nind,2); + for lnum = 1:ht + ind1 = nbands*(lnum-1) + 1; + xpos = pind(ind1,2) + 1 + gap*(ht-lnum+1); + ypos = pind(ind1+1,1) + 1 + gap*(ht-lnum+1); + llpos(ind1:ind1+2,:) = [ypos 1; 1 xpos; ypos xpos]; + end + llpos(nind,:) = [1 1]; %lowpass + + %% Make position list positive, and allocate appropriate image: + llpos = llpos - ones(nind,1)*min(llpos) + 1; + urpos = llpos + pind - 1; + d_im = bg + zeros(max(urpos)); + + %% Paste bands into image, (im-r1)*(nshades-1)/(r2-r1) + 1.5 + for bnum=1:nind + mult = (nshades-1) / (range(bnum,2)-range(bnum,1)); + d_im(llpos(bnum,1):urpos(bnum,1), llpos(bnum,2):urpos(bnum,2)) = ... + mult*pyrBand(pyr,pind,bnum) + (1.5-mult*range(bnum,1)); + end + + hh = image(d_im); + axis('off'); + pixelAxes(size(d_im),'full'); + set(hh,'UserData',range); + +end diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/skew2.m b/matlab/external/gptoolbox/external/matlabPyrTools/skew2.m new file mode 100644 index 0000000..623d6ca --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/skew2.m @@ -0,0 +1,21 @@ +% S = SKEW2(MTX,MEAN,VAR) +% +% Sample skew (third moment divided by variance^3/2) of a matrix. +% MEAN (optional) and VAR (optional) make the computation faster. + +function res = skew2(mtx, mn, v) + +if (exist('mn') ~= 1) + mn = mean2(mtx); +end + +if (exist('v') ~= 1) + v = var2(mtx,mn); +end + +if (isreal(mtx)) + res = mean(mean((mtx-mn).^3)) / (v^(3/2)); +else + res = mean(mean(real(mtx-mn).^3)) / (real(v)^(3/2)) + ... + i * mean(mean(imag(mtx-mn).^3)) / (imag(v)^(3/2)); +end diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/sp0Filters.m b/matlab/external/gptoolbox/external/matlabPyrTools/sp0Filters.m new file mode 100644 index 0000000..6b25e36 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/sp0Filters.m @@ -0,0 +1,72 @@ +% Steerable pyramid filters. Transform described in: +% +% @INPROCEEDINGS{Simoncelli95b, +% TITLE = "The Steerable Pyramid: A Flexible Architecture for +% Multi-Scale Derivative Computation", +% AUTHOR = "E P Simoncelli and W T Freeman", +% BOOKTITLE = "Second Int'l Conf on Image Processing", +% ADDRESS = "Washington, DC", MONTH = "October", YEAR = 1995 } +% +% Filter kernel design described in: +% +%@INPROCEEDINGS{Karasaridis96, +% TITLE = "A Filter Design Technique for +% Steerable Pyramid Image Transforms", +% AUTHOR = "A Karasaridis and E P Simoncelli", +% BOOKTITLE = "ICASSP", ADDRESS = "Atlanta, GA", +% MONTH = "May", YEAR = 1996 } + +% Eero Simoncelli, 6/96. + +function [lo0filt,hi0filt,lofilt,bfilts,mtx,harmonics] = sp0Filters(); + +harmonics = [ 0 ]; + +lo0filt = [ ... +-4.514000e-04 -1.137100e-04 -3.725800e-04 -3.743860e-03 -3.725800e-04 -1.137100e-04 -4.514000e-04 +-1.137100e-04 -6.119520e-03 -1.344160e-02 -7.563200e-03 -1.344160e-02 -6.119520e-03 -1.137100e-04 +-3.725800e-04 -1.344160e-02 6.441488e-02 1.524935e-01 6.441488e-02 -1.344160e-02 -3.725800e-04 +-3.743860e-03 -7.563200e-03 1.524935e-01 3.153017e-01 1.524935e-01 -7.563200e-03 -3.743860e-03 +-3.725800e-04 -1.344160e-02 6.441488e-02 1.524935e-01 6.441488e-02 -1.344160e-02 -3.725800e-04 +-1.137100e-04 -6.119520e-03 -1.344160e-02 -7.563200e-03 -1.344160e-02 -6.119520e-03 -1.137100e-04 +-4.514000e-04 -1.137100e-04 -3.725800e-04 -3.743860e-03 -3.725800e-04 -1.137100e-04 -4.514000e-04]; + +lofilt = [ ... +-2.257000e-04 -8.064400e-04 -5.686000e-05 8.741400e-04 -1.862800e-04 -1.031640e-03 -1.871920e-03 -1.031640e-03 -1.862800e-04 8.741400e-04 -5.686000e-05 -8.064400e-04 -2.257000e-04 +-8.064400e-04 1.417620e-03 -1.903800e-04 -2.449060e-03 -4.596420e-03 -7.006740e-03 -6.948900e-03 -7.006740e-03 -4.596420e-03 -2.449060e-03 -1.903800e-04 1.417620e-03 -8.064400e-04 +-5.686000e-05 -1.903800e-04 -3.059760e-03 -6.401000e-03 -6.720800e-03 -5.236180e-03 -3.781600e-03 -5.236180e-03 -6.720800e-03 -6.401000e-03 -3.059760e-03 -1.903800e-04 -5.686000e-05 +8.741400e-04 -2.449060e-03 -6.401000e-03 -5.260020e-03 3.938620e-03 1.722078e-02 2.449600e-02 1.722078e-02 3.938620e-03 -5.260020e-03 -6.401000e-03 -2.449060e-03 8.741400e-04 +-1.862800e-04 -4.596420e-03 -6.720800e-03 3.938620e-03 3.220744e-02 6.306262e-02 7.624674e-02 6.306262e-02 3.220744e-02 3.938620e-03 -6.720800e-03 -4.596420e-03 -1.862800e-04 +-1.031640e-03 -7.006740e-03 -5.236180e-03 1.722078e-02 6.306262e-02 1.116388e-01 1.348999e-01 1.116388e-01 6.306262e-02 1.722078e-02 -5.236180e-03 -7.006740e-03 -1.031640e-03 +-1.871920e-03 -6.948900e-03 -3.781600e-03 2.449600e-02 7.624674e-02 1.348999e-01 1.576508e-01 1.348999e-01 7.624674e-02 2.449600e-02 -3.781600e-03 -6.948900e-03 -1.871920e-03 +-1.031640e-03 -7.006740e-03 -5.236180e-03 1.722078e-02 6.306262e-02 1.116388e-01 1.348999e-01 1.116388e-01 6.306262e-02 1.722078e-02 -5.236180e-03 -7.006740e-03 -1.031640e-03 +-1.862800e-04 -4.596420e-03 -6.720800e-03 3.938620e-03 3.220744e-02 6.306262e-02 7.624674e-02 6.306262e-02 3.220744e-02 3.938620e-03 -6.720800e-03 -4.596420e-03 -1.862800e-04 +8.741400e-04 -2.449060e-03 -6.401000e-03 -5.260020e-03 3.938620e-03 1.722078e-02 2.449600e-02 1.722078e-02 3.938620e-03 -5.260020e-03 -6.401000e-03 -2.449060e-03 8.741400e-04 +-5.686000e-05 -1.903800e-04 -3.059760e-03 -6.401000e-03 -6.720800e-03 -5.236180e-03 -3.781600e-03 -5.236180e-03 -6.720800e-03 -6.401000e-03 -3.059760e-03 -1.903800e-04 -5.686000e-05 +-8.064400e-04 1.417620e-03 -1.903800e-04 -2.449060e-03 -4.596420e-03 -7.006740e-03 -6.948900e-03 -7.006740e-03 -4.596420e-03 -2.449060e-03 -1.903800e-04 1.417620e-03 -8.064400e-04 +-2.257000e-04 -8.064400e-04 -5.686000e-05 8.741400e-04 -1.862800e-04 -1.031640e-03 -1.871920e-03 -1.031640e-03 -1.862800e-04 8.741400e-04 -5.686000e-05 -8.064400e-04 -2.257000e-04]; + +mtx = [ 1.000000 ]; + +hi0filt = [... +5.997200e-04 -6.068000e-05 -3.324900e-04 -3.325600e-04 -2.406600e-04 -3.325600e-04 -3.324900e-04 -6.068000e-05 5.997200e-04 +-6.068000e-05 1.263100e-04 4.927100e-04 1.459700e-04 -3.732100e-04 1.459700e-04 4.927100e-04 1.263100e-04 -6.068000e-05 +-3.324900e-04 4.927100e-04 -1.616650e-03 -1.437358e-02 -2.420138e-02 -1.437358e-02 -1.616650e-03 4.927100e-04 -3.324900e-04 +-3.325600e-04 1.459700e-04 -1.437358e-02 -6.300923e-02 -9.623594e-02 -6.300923e-02 -1.437358e-02 1.459700e-04 -3.325600e-04 +-2.406600e-04 -3.732100e-04 -2.420138e-02 -9.623594e-02 8.554893e-01 -9.623594e-02 -2.420138e-02 -3.732100e-04 -2.406600e-04 +-3.325600e-04 1.459700e-04 -1.437358e-02 -6.300923e-02 -9.623594e-02 -6.300923e-02 -1.437358e-02 1.459700e-04 -3.325600e-04 +-3.324900e-04 4.927100e-04 -1.616650e-03 -1.437358e-02 -2.420138e-02 -1.437358e-02 -1.616650e-03 4.927100e-04 -3.324900e-04 +-6.068000e-05 1.263100e-04 4.927100e-04 1.459700e-04 -3.732100e-04 1.459700e-04 4.927100e-04 1.263100e-04 -6.068000e-05 +5.997200e-04 -6.068000e-05 -3.324900e-04 -3.325600e-04 -2.406600e-04 -3.325600e-04 -3.324900e-04 -6.068000e-05 5.997200e-04 ]; + +bfilts = [ ... +-9.066000e-05 -1.738640e-03 -4.942500e-03 -7.889390e-03 -1.009473e-02 -7.889390e-03 -4.942500e-03 -1.738640e-03 -9.066000e-05 ... +-1.738640e-03 -4.625150e-03 -7.272540e-03 -7.623410e-03 -9.091950e-03 -7.623410e-03 -7.272540e-03 -4.625150e-03 -1.738640e-03 ... +-4.942500e-03 -7.272540e-03 -2.129540e-02 -2.435662e-02 -3.487008e-02 -2.435662e-02 -2.129540e-02 -7.272540e-03 -4.942500e-03 ... +-7.889390e-03 -7.623410e-03 -2.435662e-02 -1.730466e-02 -3.158605e-02 -1.730466e-02 -2.435662e-02 -7.623410e-03 -7.889390e-03 ... +-1.009473e-02 -9.091950e-03 -3.487008e-02 -3.158605e-02 9.464195e-01 -3.158605e-02 -3.487008e-02 -9.091950e-03 -1.009473e-02 ... +-7.889390e-03 -7.623410e-03 -2.435662e-02 -1.730466e-02 -3.158605e-02 -1.730466e-02 -2.435662e-02 -7.623410e-03 -7.889390e-03 ... +-4.942500e-03 -7.272540e-03 -2.129540e-02 -2.435662e-02 -3.487008e-02 -2.435662e-02 -2.129540e-02 -7.272540e-03 -4.942500e-03 ... +-1.738640e-03 -4.625150e-03 -7.272540e-03 -7.623410e-03 -9.091950e-03 -7.623410e-03 -7.272540e-03 -4.625150e-03 -1.738640e-03 ... +-9.066000e-05 -1.738640e-03 -4.942500e-03 -7.889390e-03 -1.009473e-02 -7.889390e-03 -4.942500e-03 -1.738640e-03 -9.066000e-05 ]'; + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/sp1Filters.m b/matlab/external/gptoolbox/external/matlabPyrTools/sp1Filters.m new file mode 100644 index 0000000..215e651 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/sp1Filters.m @@ -0,0 +1,91 @@ +% Steerable pyramid filters. Transform described in: +% +% @INPROCEEDINGS{Simoncelli95b, +% TITLE = "The Steerable Pyramid: A Flexible Architecture for +% Multi-Scale Derivative Computation", +% AUTHOR = "E P Simoncelli and W T Freeman", +% BOOKTITLE = "Second Int'l Conf on Image Processing", +% ADDRESS = "Washington, DC", MONTH = "October", YEAR = 1995 } +% +% Filter kernel design described in: +% +%@INPROCEEDINGS{Karasaridis96, +% TITLE = "A Filter Design Technique for +% Steerable Pyramid Image Transforms", +% AUTHOR = "A Karasaridis and E P Simoncelli", +% BOOKTITLE = "ICASSP", ADDRESS = "Atlanta, GA", +% MONTH = "May", YEAR = 1996 } + +% Eero Simoncelli, 6/96. + +function [lo0filt,hi0filt,lofilt,bfilts,mtx,harmonics] = sp1Filters(); + +harmonics = [ 1 ]; + +%% filters only contain first harmonic. +mtx = eye(2); + +lo0filt = [ ... +-8.701000e-05 -1.354280e-03 -1.601260e-03 -5.033700e-04 2.524010e-03 -5.033700e-04 -1.601260e-03 -1.354280e-03 -8.701000e-05 +-1.354280e-03 2.921580e-03 7.522720e-03 8.224420e-03 1.107620e-03 8.224420e-03 7.522720e-03 2.921580e-03 -1.354280e-03 +-1.601260e-03 7.522720e-03 -7.061290e-03 -3.769487e-02 -3.297137e-02 -3.769487e-02 -7.061290e-03 7.522720e-03 -1.601260e-03 +-5.033700e-04 8.224420e-03 -3.769487e-02 4.381320e-02 1.811603e-01 4.381320e-02 -3.769487e-02 8.224420e-03 -5.033700e-04 +2.524010e-03 1.107620e-03 -3.297137e-02 1.811603e-01 4.376250e-01 1.811603e-01 -3.297137e-02 1.107620e-03 2.524010e-03 +-5.033700e-04 8.224420e-03 -3.769487e-02 4.381320e-02 1.811603e-01 4.381320e-02 -3.769487e-02 8.224420e-03 -5.033700e-04 +-1.601260e-03 7.522720e-03 -7.061290e-03 -3.769487e-02 -3.297137e-02 -3.769487e-02 -7.061290e-03 7.522720e-03 -1.601260e-03 +-1.354280e-03 2.921580e-03 7.522720e-03 8.224420e-03 1.107620e-03 8.224420e-03 7.522720e-03 2.921580e-03 -1.354280e-03 +-8.701000e-05 -1.354280e-03 -1.601260e-03 -5.033700e-04 2.524010e-03 -5.033700e-04 -1.601260e-03 -1.354280e-03 -8.701000e-05 +]; + +lofilt = [ ... +-4.350000e-05 1.207800e-04 -6.771400e-04 -1.243400e-04 -8.006400e-04 -1.597040e-03 -2.516800e-04 -4.202000e-04 1.262000e-03 -4.202000e-04 -2.516800e-04 -1.597040e-03 -8.006400e-04 -1.243400e-04 -6.771400e-04 1.207800e-04 -4.350000e-05 ; ... +1.207800e-04 4.460600e-04 -5.814600e-04 5.621600e-04 -1.368800e-04 2.325540e-03 2.889860e-03 4.287280e-03 5.589400e-03 4.287280e-03 2.889860e-03 2.325540e-03 -1.368800e-04 5.621600e-04 -5.814600e-04 4.460600e-04 1.207800e-04 ; ... +-6.771400e-04 -5.814600e-04 1.460780e-03 2.160540e-03 3.761360e-03 3.080980e-03 4.112200e-03 2.221220e-03 5.538200e-04 2.221220e-03 4.112200e-03 3.080980e-03 3.761360e-03 2.160540e-03 1.460780e-03 -5.814600e-04 -6.771400e-04 ; ... +-1.243400e-04 5.621600e-04 2.160540e-03 3.175780e-03 3.184680e-03 -1.777480e-03 -7.431700e-03 -9.056920e-03 -9.637220e-03 -9.056920e-03 -7.431700e-03 -1.777480e-03 3.184680e-03 3.175780e-03 2.160540e-03 5.621600e-04 -1.243400e-04 ; ... +-8.006400e-04 -1.368800e-04 3.761360e-03 3.184680e-03 -3.530640e-03 -1.260420e-02 -1.884744e-02 -1.750818e-02 -1.648568e-02 -1.750818e-02 -1.884744e-02 -1.260420e-02 -3.530640e-03 3.184680e-03 3.761360e-03 -1.368800e-04 -8.006400e-04 ; ... +-1.597040e-03 2.325540e-03 3.080980e-03 -1.777480e-03 -1.260420e-02 -2.022938e-02 -1.109170e-02 3.955660e-03 1.438512e-02 3.955660e-03 -1.109170e-02 -2.022938e-02 -1.260420e-02 -1.777480e-03 3.080980e-03 2.325540e-03 -1.597040e-03 ; ... +-2.516800e-04 2.889860e-03 4.112200e-03 -7.431700e-03 -1.884744e-02 -1.109170e-02 2.190660e-02 6.806584e-02 9.058014e-02 6.806584e-02 2.190660e-02 -1.109170e-02 -1.884744e-02 -7.431700e-03 4.112200e-03 2.889860e-03 -2.516800e-04 ; ... +-4.202000e-04 4.287280e-03 2.221220e-03 -9.056920e-03 -1.750818e-02 3.955660e-03 6.806584e-02 1.445500e-01 1.773651e-01 1.445500e-01 6.806584e-02 3.955660e-03 -1.750818e-02 -9.056920e-03 2.221220e-03 4.287280e-03 -4.202000e-04 ; ... +1.262000e-03 5.589400e-03 5.538200e-04 -9.637220e-03 -1.648568e-02 1.438512e-02 9.058014e-02 1.773651e-01 2.120374e-01 1.773651e-01 9.058014e-02 1.438512e-02 -1.648568e-02 -9.637220e-03 5.538200e-04 5.589400e-03 1.262000e-03 ; ... +-4.202000e-04 4.287280e-03 2.221220e-03 -9.056920e-03 -1.750818e-02 3.955660e-03 6.806584e-02 1.445500e-01 1.773651e-01 1.445500e-01 6.806584e-02 3.955660e-03 -1.750818e-02 -9.056920e-03 2.221220e-03 4.287280e-03 -4.202000e-04 ; ... +-2.516800e-04 2.889860e-03 4.112200e-03 -7.431700e-03 -1.884744e-02 -1.109170e-02 2.190660e-02 6.806584e-02 9.058014e-02 6.806584e-02 2.190660e-02 -1.109170e-02 -1.884744e-02 -7.431700e-03 4.112200e-03 2.889860e-03 -2.516800e-04 ; ... +-1.597040e-03 2.325540e-03 3.080980e-03 -1.777480e-03 -1.260420e-02 -2.022938e-02 -1.109170e-02 3.955660e-03 1.438512e-02 3.955660e-03 -1.109170e-02 -2.022938e-02 -1.260420e-02 -1.777480e-03 3.080980e-03 2.325540e-03 -1.597040e-03 ; ... +-8.006400e-04 -1.368800e-04 3.761360e-03 3.184680e-03 -3.530640e-03 -1.260420e-02 -1.884744e-02 -1.750818e-02 -1.648568e-02 -1.750818e-02 -1.884744e-02 -1.260420e-02 -3.530640e-03 3.184680e-03 3.761360e-03 -1.368800e-04 -8.006400e-04 ; ... +-1.243400e-04 5.621600e-04 2.160540e-03 3.175780e-03 3.184680e-03 -1.777480e-03 -7.431700e-03 -9.056920e-03 -9.637220e-03 -9.056920e-03 -7.431700e-03 -1.777480e-03 3.184680e-03 3.175780e-03 2.160540e-03 5.621600e-04 -1.243400e-04 ; ... +-6.771400e-04 -5.814600e-04 1.460780e-03 2.160540e-03 3.761360e-03 3.080980e-03 4.112200e-03 2.221220e-03 5.538200e-04 2.221220e-03 4.112200e-03 3.080980e-03 3.761360e-03 2.160540e-03 1.460780e-03 -5.814600e-04 -6.771400e-04 ; ... +1.207800e-04 4.460600e-04 -5.814600e-04 5.621600e-04 -1.368800e-04 2.325540e-03 2.889860e-03 4.287280e-03 5.589400e-03 4.287280e-03 2.889860e-03 2.325540e-03 -1.368800e-04 5.621600e-04 -5.814600e-04 4.460600e-04 1.207800e-04 ; ... +-4.350000e-05 1.207800e-04 -6.771400e-04 -1.243400e-04 -8.006400e-04 -1.597040e-03 -2.516800e-04 -4.202000e-04 1.262000e-03 -4.202000e-04 -2.516800e-04 -1.597040e-03 -8.006400e-04 -1.243400e-04 -6.771400e-04 1.207800e-04 -4.350000e-05 ]; + +hi0filt = [... +-9.570000e-04 -2.424100e-04 -1.424720e-03 -8.742600e-04 -1.166810e-03 -8.742600e-04 -1.424720e-03 -2.424100e-04 -9.570000e-04 ; ... +-2.424100e-04 -4.317530e-03 8.998600e-04 9.156420e-03 1.098012e-02 9.156420e-03 8.998600e-04 -4.317530e-03 -2.424100e-04 ; ... +-1.424720e-03 8.998600e-04 1.706347e-02 1.094866e-02 -5.897780e-03 1.094866e-02 1.706347e-02 8.998600e-04 -1.424720e-03 ; ... +-8.742600e-04 9.156420e-03 1.094866e-02 -7.841370e-02 -1.562827e-01 -7.841370e-02 1.094866e-02 9.156420e-03 -8.742600e-04 ; ... +-1.166810e-03 1.098012e-02 -5.897780e-03 -1.562827e-01 7.282593e-01 -1.562827e-01 -5.897780e-03 1.098012e-02 -1.166810e-03 ; ... +-8.742600e-04 9.156420e-03 1.094866e-02 -7.841370e-02 -1.562827e-01 -7.841370e-02 1.094866e-02 9.156420e-03 -8.742600e-04 ; ... +-1.424720e-03 8.998600e-04 1.706347e-02 1.094866e-02 -5.897780e-03 1.094866e-02 1.706347e-02 8.998600e-04 -1.424720e-03 ; ... +-2.424100e-04 -4.317530e-03 8.998600e-04 9.156420e-03 1.098012e-02 9.156420e-03 8.998600e-04 -4.317530e-03 -2.424100e-04 ; ... +-9.570000e-04 -2.424100e-04 -1.424720e-03 -8.742600e-04 -1.166810e-03 -8.742600e-04 -1.424720e-03 -2.424100e-04 -9.570000e-04 ]; + +bfilts = -[ ... +6.125880e-03 -8.052600e-03 -2.103714e-02 -1.536890e-02 -1.851466e-02 -1.536890e-02 -2.103714e-02 -8.052600e-03 6.125880e-03 ... +-1.287416e-02 -9.611520e-03 1.023569e-02 6.009450e-03 1.872620e-03 6.009450e-03 1.023569e-02 -9.611520e-03 -1.287416e-02 ... +-5.641530e-03 4.168400e-03 -2.382180e-02 -5.375324e-02 -2.076086e-02 -5.375324e-02 -2.382180e-02 4.168400e-03 -5.641530e-03 ... +-8.957260e-03 -1.751170e-03 -1.836909e-02 1.265655e-01 2.996168e-01 1.265655e-01 -1.836909e-02 -1.751170e-03 -8.957260e-03 ... +0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 ... +8.957260e-03 1.751170e-03 1.836909e-02 -1.265655e-01 -2.996168e-01 -1.265655e-01 1.836909e-02 1.751170e-03 8.957260e-03 ... +5.641530e-03 -4.168400e-03 2.382180e-02 5.375324e-02 2.076086e-02 5.375324e-02 2.382180e-02 -4.168400e-03 5.641530e-03 ... +1.287416e-02 9.611520e-03 -1.023569e-02 -6.009450e-03 -1.872620e-03 -6.009450e-03 -1.023569e-02 9.611520e-03 1.287416e-02 ... +-6.125880e-03 8.052600e-03 2.103714e-02 1.536890e-02 1.851466e-02 1.536890e-02 2.103714e-02 8.052600e-03 -6.125880e-03; ... +... +-6.125880e-03 1.287416e-02 5.641530e-03 8.957260e-03 0.000000e+00 -8.957260e-03 -5.641530e-03 -1.287416e-02 6.125880e-03 ... +8.052600e-03 9.611520e-03 -4.168400e-03 1.751170e-03 0.000000e+00 -1.751170e-03 4.168400e-03 -9.611520e-03 -8.052600e-03 ... +2.103714e-02 -1.023569e-02 2.382180e-02 1.836909e-02 0.000000e+00 -1.836909e-02 -2.382180e-02 1.023569e-02 -2.103714e-02 ... +1.536890e-02 -6.009450e-03 5.375324e-02 -1.265655e-01 0.000000e+00 1.265655e-01 -5.375324e-02 6.009450e-03 -1.536890e-02 ... +1.851466e-02 -1.872620e-03 2.076086e-02 -2.996168e-01 0.000000e+00 2.996168e-01 -2.076086e-02 1.872620e-03 -1.851466e-02 ... +1.536890e-02 -6.009450e-03 5.375324e-02 -1.265655e-01 0.000000e+00 1.265655e-01 -5.375324e-02 6.009450e-03 -1.536890e-02 ... +2.103714e-02 -1.023569e-02 2.382180e-02 1.836909e-02 0.000000e+00 -1.836909e-02 -2.382180e-02 1.023569e-02 -2.103714e-02 ... +8.052600e-03 9.611520e-03 -4.168400e-03 1.751170e-03 0.000000e+00 -1.751170e-03 4.168400e-03 -9.611520e-03 -8.052600e-03 ... +-6.125880e-03 1.287416e-02 5.641530e-03 8.957260e-03 0.000000e+00 -8.957260e-03 -5.641530e-03 -1.287416e-02 6.125880e-03 ... +]'; + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/sp3Filters.m b/matlab/external/gptoolbox/external/matlabPyrTools/sp3Filters.m new file mode 100644 index 0000000..c9cfaaf --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/sp3Filters.m @@ -0,0 +1,121 @@ +% Steerable pyramid filters. Transform described in: +% +% @INPROCEEDINGS{Simoncelli95b, +% TITLE = "The Steerable Pyramid: A Flexible Architecture for +% Multi-Scale Derivative Computation", +% AUTHOR = "E P Simoncelli and W T Freeman", +% BOOKTITLE = "Second Int'l Conf on Image Processing", +% ADDRESS = "Washington, DC", MONTH = "October", YEAR = 1995 } +% +% Filter kernel design described in: +% +%@INPROCEEDINGS{Karasaridis96, +% TITLE = "A Filter Design Technique for +% Steerable Pyramid Image Transforms", +% AUTHOR = "A Karasaridis and E P Simoncelli", +% BOOKTITLE = "ICASSP", ADDRESS = "Atlanta, GA", +% MONTH = "May", YEAR = 1996 } + +% Eero Simoncelli, 6/96. + +function [lo0filt,hi0filt,lofilt,bfilts,mtx,harmonics] = sp3Filters(); + +harmonics = [1 3]; + +mtx = [ ... + 0.5000 0.3536 0 -0.3536 + -0.0000 0.3536 0.5000 0.3536 + 0.5000 -0.3536 0 0.3536 + -0.0000 0.3536 -0.5000 0.3536]; + +hi0filt = [ +-4.0483998600E-4 -6.2596000498E-4 -3.7829999201E-5 8.8387000142E-4 1.5450799838E-3 1.9235999789E-3 2.0687500946E-3 2.0898699295E-3 2.0687500946E-3 1.9235999789E-3 1.5450799838E-3 8.8387000142E-4 -3.7829999201E-5 -6.2596000498E-4 -4.0483998600E-4 +-6.2596000498E-4 -3.2734998967E-4 7.7435001731E-4 1.5874400269E-3 2.1750701126E-3 2.5626500137E-3 2.2892199922E-3 1.9755100366E-3 2.2892199922E-3 2.5626500137E-3 2.1750701126E-3 1.5874400269E-3 7.7435001731E-4 -3.2734998967E-4 -6.2596000498E-4 +-3.7829999201E-5 7.7435001731E-4 1.1793200392E-3 1.4050999889E-3 2.2253401112E-3 2.1145299543E-3 3.3578000148E-4 -8.3368999185E-4 3.3578000148E-4 2.1145299543E-3 2.2253401112E-3 1.4050999889E-3 1.1793200392E-3 7.7435001731E-4 -3.7829999201E-5 +8.8387000142E-4 1.5874400269E-3 1.4050999889E-3 1.2960999738E-3 -4.9274001503E-4 -3.1295299996E-3 -4.5751798898E-3 -5.1014497876E-3 -4.5751798898E-3 -3.1295299996E-3 -4.9274001503E-4 1.2960999738E-3 1.4050999889E-3 1.5874400269E-3 8.8387000142E-4 +1.5450799838E-3 2.1750701126E-3 2.2253401112E-3 -4.9274001503E-4 -6.3222697936E-3 -2.7556000277E-3 5.3632198833E-3 7.3032598011E-3 5.3632198833E-3 -2.7556000277E-3 -6.3222697936E-3 -4.9274001503E-4 2.2253401112E-3 2.1750701126E-3 1.5450799838E-3 +1.9235999789E-3 2.5626500137E-3 2.1145299543E-3 -3.1295299996E-3 -2.7556000277E-3 1.3962360099E-2 7.8046298586E-3 -9.3812197447E-3 7.8046298586E-3 1.3962360099E-2 -2.7556000277E-3 -3.1295299996E-3 2.1145299543E-3 2.5626500137E-3 1.9235999789E-3 +2.0687500946E-3 2.2892199922E-3 3.3578000148E-4 -4.5751798898E-3 5.3632198833E-3 7.8046298586E-3 -7.9501636326E-2 -0.1554141641 -7.9501636326E-2 7.8046298586E-3 5.3632198833E-3 -4.5751798898E-3 3.3578000148E-4 2.2892199922E-3 2.0687500946E-3 +2.0898699295E-3 1.9755100366E-3 -8.3368999185E-4 -5.1014497876E-3 7.3032598011E-3 -9.3812197447E-3 -0.1554141641 0.7303866148 -0.1554141641 -9.3812197447E-3 7.3032598011E-3 -5.1014497876E-3 -8.3368999185E-4 1.9755100366E-3 2.0898699295E-3 +2.0687500946E-3 2.2892199922E-3 3.3578000148E-4 -4.5751798898E-3 5.3632198833E-3 7.8046298586E-3 -7.9501636326E-2 -0.1554141641 -7.9501636326E-2 7.8046298586E-3 5.3632198833E-3 -4.5751798898E-3 3.3578000148E-4 2.2892199922E-3 2.0687500946E-3 +1.9235999789E-3 2.5626500137E-3 2.1145299543E-3 -3.1295299996E-3 -2.7556000277E-3 1.3962360099E-2 7.8046298586E-3 -9.3812197447E-3 7.8046298586E-3 1.3962360099E-2 -2.7556000277E-3 -3.1295299996E-3 2.1145299543E-3 2.5626500137E-3 1.9235999789E-3 +1.5450799838E-3 2.1750701126E-3 2.2253401112E-3 -4.9274001503E-4 -6.3222697936E-3 -2.7556000277E-3 5.3632198833E-3 7.3032598011E-3 5.3632198833E-3 -2.7556000277E-3 -6.3222697936E-3 -4.9274001503E-4 2.2253401112E-3 2.1750701126E-3 1.5450799838E-3 +8.8387000142E-4 1.5874400269E-3 1.4050999889E-3 1.2960999738E-3 -4.9274001503E-4 -3.1295299996E-3 -4.5751798898E-3 -5.1014497876E-3 -4.5751798898E-3 -3.1295299996E-3 -4.9274001503E-4 1.2960999738E-3 1.4050999889E-3 1.5874400269E-3 8.8387000142E-4 +-3.7829999201E-5 7.7435001731E-4 1.1793200392E-3 1.4050999889E-3 2.2253401112E-3 2.1145299543E-3 3.3578000148E-4 -8.3368999185E-4 3.3578000148E-4 2.1145299543E-3 2.2253401112E-3 1.4050999889E-3 1.1793200392E-3 7.7435001731E-4 -3.7829999201E-5 +-6.2596000498E-4 -3.2734998967E-4 7.7435001731E-4 1.5874400269E-3 2.1750701126E-3 2.5626500137E-3 2.2892199922E-3 1.9755100366E-3 2.2892199922E-3 2.5626500137E-3 2.1750701126E-3 1.5874400269E-3 7.7435001731E-4 -3.2734998967E-4 -6.2596000498E-4 +-4.0483998600E-4 -6.2596000498E-4 -3.7829999201E-5 8.8387000142E-4 1.5450799838E-3 1.9235999789E-3 2.0687500946E-3 2.0898699295E-3 2.0687500946E-3 1.9235999789E-3 1.5450799838E-3 8.8387000142E-4 -3.7829999201E-5 -6.2596000498E-4 -4.0483998600E-4 +]; + +lo0filt = [ +-8.7009997515E-5 -1.3542800443E-3 -1.6012600390E-3 -5.0337001448E-4 2.5240099058E-3 -5.0337001448E-4 -1.6012600390E-3 -1.3542800443E-3 -8.7009997515E-5 +-1.3542800443E-3 2.9215801042E-3 7.5227199122E-3 8.2244202495E-3 1.1076199589E-3 8.2244202495E-3 7.5227199122E-3 2.9215801042E-3 -1.3542800443E-3 +-1.6012600390E-3 7.5227199122E-3 -7.0612900890E-3 -3.7694871426E-2 -3.2971370965E-2 -3.7694871426E-2 -7.0612900890E-3 7.5227199122E-3 -1.6012600390E-3 +-5.0337001448E-4 8.2244202495E-3 -3.7694871426E-2 4.3813198805E-2 0.1811603010 4.3813198805E-2 -3.7694871426E-2 8.2244202495E-3 -5.0337001448E-4 +2.5240099058E-3 1.1076199589E-3 -3.2971370965E-2 0.1811603010 0.4376249909 0.1811603010 -3.2971370965E-2 1.1076199589E-3 2.5240099058E-3 +-5.0337001448E-4 8.2244202495E-3 -3.7694871426E-2 4.3813198805E-2 0.1811603010 4.3813198805E-2 -3.7694871426E-2 8.2244202495E-3 -5.0337001448E-4 +-1.6012600390E-3 7.5227199122E-3 -7.0612900890E-3 -3.7694871426E-2 -3.2971370965E-2 -3.7694871426E-2 -7.0612900890E-3 7.5227199122E-3 -1.6012600390E-3 +-1.3542800443E-3 2.9215801042E-3 7.5227199122E-3 8.2244202495E-3 1.1076199589E-3 8.2244202495E-3 7.5227199122E-3 2.9215801042E-3 -1.3542800443E-3 +-8.7009997515E-5 -1.3542800443E-3 -1.6012600390E-3 -5.0337001448E-4 2.5240099058E-3 -5.0337001448E-4 -1.6012600390E-3 -1.3542800443E-3 -8.7009997515E-5 +]; + +lofilt = [ +-4.3500000174E-5 1.2078000145E-4 -6.7714002216E-4 -1.2434000382E-4 -8.0063997302E-4 -1.5970399836E-3 -2.5168000138E-4 -4.2019999819E-4 1.2619999470E-3 -4.2019999819E-4 -2.5168000138E-4 -1.5970399836E-3 -8.0063997302E-4 -1.2434000382E-4 -6.7714002216E-4 1.2078000145E-4 -4.3500000174E-5 +1.2078000145E-4 4.4606000301E-4 -5.8146001538E-4 5.6215998484E-4 -1.3688000035E-4 2.3255399428E-3 2.8898599558E-3 4.2872801423E-3 5.5893999524E-3 4.2872801423E-3 2.8898599558E-3 2.3255399428E-3 -1.3688000035E-4 5.6215998484E-4 -5.8146001538E-4 4.4606000301E-4 1.2078000145E-4 +-6.7714002216E-4 -5.8146001538E-4 1.4607800404E-3 2.1605400834E-3 3.7613599561E-3 3.0809799209E-3 4.1121998802E-3 2.2212199401E-3 5.5381999118E-4 2.2212199401E-3 4.1121998802E-3 3.0809799209E-3 3.7613599561E-3 2.1605400834E-3 1.4607800404E-3 -5.8146001538E-4 -6.7714002216E-4 +-1.2434000382E-4 5.6215998484E-4 2.1605400834E-3 3.1757799443E-3 3.1846798956E-3 -1.7774800071E-3 -7.4316998944E-3 -9.0569201857E-3 -9.6372198313E-3 -9.0569201857E-3 -7.4316998944E-3 -1.7774800071E-3 3.1846798956E-3 3.1757799443E-3 2.1605400834E-3 5.6215998484E-4 -1.2434000382E-4 +-8.0063997302E-4 -1.3688000035E-4 3.7613599561E-3 3.1846798956E-3 -3.5306399222E-3 -1.2604200281E-2 -1.8847439438E-2 -1.7508180812E-2 -1.6485679895E-2 -1.7508180812E-2 -1.8847439438E-2 -1.2604200281E-2 -3.5306399222E-3 3.1846798956E-3 3.7613599561E-3 -1.3688000035E-4 -8.0063997302E-4 +-1.5970399836E-3 2.3255399428E-3 3.0809799209E-3 -1.7774800071E-3 -1.2604200281E-2 -2.0229380578E-2 -1.1091699824E-2 3.9556599222E-3 1.4385120012E-2 3.9556599222E-3 -1.1091699824E-2 -2.0229380578E-2 -1.2604200281E-2 -1.7774800071E-3 3.0809799209E-3 2.3255399428E-3 -1.5970399836E-3 +-2.5168000138E-4 2.8898599558E-3 4.1121998802E-3 -7.4316998944E-3 -1.8847439438E-2 -1.1091699824E-2 2.1906599402E-2 6.8065837026E-2 9.0580143034E-2 6.8065837026E-2 2.1906599402E-2 -1.1091699824E-2 -1.8847439438E-2 -7.4316998944E-3 4.1121998802E-3 2.8898599558E-3 -2.5168000138E-4 +-4.2019999819E-4 4.2872801423E-3 2.2212199401E-3 -9.0569201857E-3 -1.7508180812E-2 3.9556599222E-3 6.8065837026E-2 0.1445499808 0.1773651242 0.1445499808 6.8065837026E-2 3.9556599222E-3 -1.7508180812E-2 -9.0569201857E-3 2.2212199401E-3 4.2872801423E-3 -4.2019999819E-4 +1.2619999470E-3 5.5893999524E-3 5.5381999118E-4 -9.6372198313E-3 -1.6485679895E-2 1.4385120012E-2 9.0580143034E-2 0.1773651242 0.2120374441 0.1773651242 9.0580143034E-2 1.4385120012E-2 -1.6485679895E-2 -9.6372198313E-3 5.5381999118E-4 5.5893999524E-3 1.2619999470E-3 +-4.2019999819E-4 4.2872801423E-3 2.2212199401E-3 -9.0569201857E-3 -1.7508180812E-2 3.9556599222E-3 6.8065837026E-2 0.1445499808 0.1773651242 0.1445499808 6.8065837026E-2 3.9556599222E-3 -1.7508180812E-2 -9.0569201857E-3 2.2212199401E-3 4.2872801423E-3 -4.2019999819E-4 +-2.5168000138E-4 2.8898599558E-3 4.1121998802E-3 -7.4316998944E-3 -1.8847439438E-2 -1.1091699824E-2 2.1906599402E-2 6.8065837026E-2 9.0580143034E-2 6.8065837026E-2 2.1906599402E-2 -1.1091699824E-2 -1.8847439438E-2 -7.4316998944E-3 4.1121998802E-3 2.8898599558E-3 -2.5168000138E-4 +-1.5970399836E-3 2.3255399428E-3 3.0809799209E-3 -1.7774800071E-3 -1.2604200281E-2 -2.0229380578E-2 -1.1091699824E-2 3.9556599222E-3 1.4385120012E-2 3.9556599222E-3 -1.1091699824E-2 -2.0229380578E-2 -1.2604200281E-2 -1.7774800071E-3 3.0809799209E-3 2.3255399428E-3 -1.5970399836E-3 +-8.0063997302E-4 -1.3688000035E-4 3.7613599561E-3 3.1846798956E-3 -3.5306399222E-3 -1.2604200281E-2 -1.8847439438E-2 -1.7508180812E-2 -1.6485679895E-2 -1.7508180812E-2 -1.8847439438E-2 -1.2604200281E-2 -3.5306399222E-3 3.1846798956E-3 3.7613599561E-3 -1.3688000035E-4 -8.0063997302E-4 +-1.2434000382E-4 5.6215998484E-4 2.1605400834E-3 3.1757799443E-3 3.1846798956E-3 -1.7774800071E-3 -7.4316998944E-3 -9.0569201857E-3 -9.6372198313E-3 -9.0569201857E-3 -7.4316998944E-3 -1.7774800071E-3 3.1846798956E-3 3.1757799443E-3 2.1605400834E-3 5.6215998484E-4 -1.2434000382E-4 +-6.7714002216E-4 -5.8146001538E-4 1.4607800404E-3 2.1605400834E-3 3.7613599561E-3 3.0809799209E-3 4.1121998802E-3 2.2212199401E-3 5.5381999118E-4 2.2212199401E-3 4.1121998802E-3 3.0809799209E-3 3.7613599561E-3 2.1605400834E-3 1.4607800404E-3 -5.8146001538E-4 -6.7714002216E-4 +1.2078000145E-4 4.4606000301E-4 -5.8146001538E-4 5.6215998484E-4 -1.3688000035E-4 2.3255399428E-3 2.8898599558E-3 4.2872801423E-3 5.5893999524E-3 4.2872801423E-3 2.8898599558E-3 2.3255399428E-3 -1.3688000035E-4 5.6215998484E-4 -5.8146001538E-4 4.4606000301E-4 1.2078000145E-4 +-4.3500000174E-5 1.2078000145E-4 -6.7714002216E-4 -1.2434000382E-4 -8.0063997302E-4 -1.5970399836E-3 -2.5168000138E-4 -4.2019999819E-4 1.2619999470E-3 -4.2019999819E-4 -2.5168000138E-4 -1.5970399836E-3 -8.0063997302E-4 -1.2434000382E-4 -6.7714002216E-4 1.2078000145E-4 -4.3500000174E-5 +]; + +bfilts = [... +-8.1125000725E-4 4.4451598078E-3 1.2316980399E-2 1.3955879956E-2 1.4179450460E-2 1.3955879956E-2 1.2316980399E-2 4.4451598078E-3 -8.1125000725E-4 ... +3.9103501476E-3 4.4565401040E-3 -5.8724298142E-3 -2.8760801069E-3 8.5267601535E-3 -2.8760801069E-3 -5.8724298142E-3 4.4565401040E-3 3.9103501476E-3 ... +1.3462699717E-3 -3.7740699481E-3 8.2581602037E-3 3.9442278445E-2 5.3605638444E-2 3.9442278445E-2 8.2581602037E-3 -3.7740699481E-3 1.3462699717E-3 ... +7.4700999539E-4 -3.6522001028E-4 -2.2522680461E-2 -0.1105690673 -0.1768419296 -0.1105690673 -2.2522680461E-2 -3.6522001028E-4 7.4700999539E-4 ... +0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000 ... +-7.4700999539E-4 3.6522001028E-4 2.2522680461E-2 0.1105690673 0.1768419296 0.1105690673 2.2522680461E-2 3.6522001028E-4 -7.4700999539E-4 ... +-1.3462699717E-3 3.7740699481E-3 -8.2581602037E-3 -3.9442278445E-2 -5.3605638444E-2 -3.9442278445E-2 -8.2581602037E-3 3.7740699481E-3 -1.3462699717E-3 ... +-3.9103501476E-3 -4.4565401040E-3 5.8724298142E-3 2.8760801069E-3 -8.5267601535E-3 2.8760801069E-3 5.8724298142E-3 -4.4565401040E-3 -3.9103501476E-3 ... +8.1125000725E-4 -4.4451598078E-3 -1.2316980399E-2 -1.3955879956E-2 -1.4179450460E-2 -1.3955879956E-2 -1.2316980399E-2 -4.4451598078E-3 8.1125000725E-4; ... +... +0.0000000000 -8.2846998703E-4 -5.7109999034E-5 4.0110000555E-5 4.6670897864E-3 8.0871898681E-3 1.4807609841E-2 8.6204400286E-3 -3.1221499667E-3 ... +8.2846998703E-4 0.0000000000 -9.7479997203E-4 -6.9718998857E-3 -2.0865600090E-3 2.3298799060E-3 -4.4814897701E-3 1.4917500317E-2 8.6204400286E-3 ... +5.7109999034E-5 9.7479997203E-4 0.0000000000 -1.2145539746E-2 -2.4427289143E-2 5.0797060132E-2 3.2785870135E-2 -4.4814897701E-3 1.4807609841E-2 ... +-4.0110000555E-5 6.9718998857E-3 1.2145539746E-2 0.0000000000 -0.1510555595 -8.2495503128E-2 5.0797060132E-2 2.3298799060E-3 8.0871898681E-3 ... +-4.6670897864E-3 2.0865600090E-3 2.4427289143E-2 0.1510555595 0.0000000000 -0.1510555595 -2.4427289143E-2 -2.0865600090E-3 4.6670897864E-3 ... +-8.0871898681E-3 -2.3298799060E-3 -5.0797060132E-2 8.2495503128E-2 0.1510555595 0.0000000000 -1.2145539746E-2 -6.9718998857E-3 4.0110000555E-5 ... +-1.4807609841E-2 4.4814897701E-3 -3.2785870135E-2 -5.0797060132E-2 2.4427289143E-2 1.2145539746E-2 0.0000000000 -9.7479997203E-4 -5.7109999034E-5 ... +-8.6204400286E-3 -1.4917500317E-2 4.4814897701E-3 -2.3298799060E-3 2.0865600090E-3 6.9718998857E-3 9.7479997203E-4 0.0000000000 -8.2846998703E-4 ... +3.1221499667E-3 -8.6204400286E-3 -1.4807609841E-2 -8.0871898681E-3 -4.6670897864E-3 -4.0110000555E-5 5.7109999034E-5 8.2846998703E-4 0.0000000000; ... +... +8.1125000725E-4 -3.9103501476E-3 -1.3462699717E-3 -7.4700999539E-4 0.0000000000 7.4700999539E-4 1.3462699717E-3 3.9103501476E-3 -8.1125000725E-4 ... +-4.4451598078E-3 -4.4565401040E-3 3.7740699481E-3 3.6522001028E-4 0.0000000000 -3.6522001028E-4 -3.7740699481E-3 4.4565401040E-3 4.4451598078E-3 ... +-1.2316980399E-2 5.8724298142E-3 -8.2581602037E-3 2.2522680461E-2 0.0000000000 -2.2522680461E-2 8.2581602037E-3 -5.8724298142E-3 1.2316980399E-2 ... +-1.3955879956E-2 2.8760801069E-3 -3.9442278445E-2 0.1105690673 0.0000000000 -0.1105690673 3.9442278445E-2 -2.8760801069E-3 1.3955879956E-2 ... +-1.4179450460E-2 -8.5267601535E-3 -5.3605638444E-2 0.1768419296 0.0000000000 -0.1768419296 5.3605638444E-2 8.5267601535E-3 1.4179450460E-2 ... +-1.3955879956E-2 2.8760801069E-3 -3.9442278445E-2 0.1105690673 0.0000000000 -0.1105690673 3.9442278445E-2 -2.8760801069E-3 1.3955879956E-2 ... +-1.2316980399E-2 5.8724298142E-3 -8.2581602037E-3 2.2522680461E-2 0.0000000000 -2.2522680461E-2 8.2581602037E-3 -5.8724298142E-3 1.2316980399E-2 ... +-4.4451598078E-3 -4.4565401040E-3 3.7740699481E-3 3.6522001028E-4 0.0000000000 -3.6522001028E-4 -3.7740699481E-3 4.4565401040E-3 4.4451598078E-3 ... +8.1125000725E-4 -3.9103501476E-3 -1.3462699717E-3 -7.4700999539E-4 0.0000000000 7.4700999539E-4 1.3462699717E-3 3.9103501476E-3 -8.1125000725E-4; ... +... +3.1221499667E-3 -8.6204400286E-3 -1.4807609841E-2 -8.0871898681E-3 -4.6670897864E-3 -4.0110000555E-5 5.7109999034E-5 8.2846998703E-4 0.0000000000 ... +-8.6204400286E-3 -1.4917500317E-2 4.4814897701E-3 -2.3298799060E-3 2.0865600090E-3 6.9718998857E-3 9.7479997203E-4 -0.0000000000 -8.2846998703E-4 ... +-1.4807609841E-2 4.4814897701E-3 -3.2785870135E-2 -5.0797060132E-2 2.4427289143E-2 1.2145539746E-2 0.0000000000 -9.7479997203E-4 -5.7109999034E-5 ... +-8.0871898681E-3 -2.3298799060E-3 -5.0797060132E-2 8.2495503128E-2 0.1510555595 -0.0000000000 -1.2145539746E-2 -6.9718998857E-3 4.0110000555E-5 ... +-4.6670897864E-3 2.0865600090E-3 2.4427289143E-2 0.1510555595 0.0000000000 -0.1510555595 -2.4427289143E-2 -2.0865600090E-3 4.6670897864E-3 ... +-4.0110000555E-5 6.9718998857E-3 1.2145539746E-2 0.0000000000 -0.1510555595 -8.2495503128E-2 5.0797060132E-2 2.3298799060E-3 8.0871898681E-3 ... +5.7109999034E-5 9.7479997203E-4 -0.0000000000 -1.2145539746E-2 -2.4427289143E-2 5.0797060132E-2 3.2785870135E-2 -4.4814897701E-3 1.4807609841E-2 ... +8.2846998703E-4 -0.0000000000 -9.7479997203E-4 -6.9718998857E-3 -2.0865600090E-3 2.3298799060E-3 -4.4814897701E-3 1.4917500317E-2 8.6204400286E-3 ... +0.0000000000 -8.2846998703E-4 -5.7109999034E-5 4.0110000555E-5 4.6670897864E-3 8.0871898681E-3 1.4807609841E-2 8.6204400286E-3 -3.1221499667E-3 ... +]'; diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/sp5Filters.m b/matlab/external/gptoolbox/external/matlabPyrTools/sp5Filters.m new file mode 100644 index 0000000..4cddcfd --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/sp5Filters.m @@ -0,0 +1,110 @@ +% Steerable pyramid filters. Transform described in: +% +% @INPROCEEDINGS{Simoncelli95b, +% TITLE = "The Steerable Pyramid: A Flexible Architecture for +% Multi-Scale Derivative Computation", +% AUTHOR = "E P Simoncelli and W T Freeman", +% BOOKTITLE = "Second Int'l Conf on Image Processing", +% ADDRESS = "Washington, DC", MONTH = "October", YEAR = 1995 } +% +% Filter kernel design described in: +% +%@INPROCEEDINGS{Karasaridis96, +% TITLE = "A Filter Design Technique for +% Steerable Pyramid Image Transforms", +% AUTHOR = "A Karasaridis and E P Simoncelli", +% BOOKTITLE = "ICASSP", ADDRESS = "Atlanta, GA", +% MONTH = "May", YEAR = 1996 } + +% Eero Simoncelli, 6/96. + +function [lo0filt,hi0filt,lofilt,bfilts,mtx,harmonics] = sp5Filters(); + +harmonics = [1 3 5]; + +mtx = [ ... + 0.3333 0.2887 0.1667 0.0000 -0.1667 -0.2887 + 0.0000 0.1667 0.2887 0.3333 0.2887 0.1667 + 0.3333 -0.0000 -0.3333 -0.0000 0.3333 -0.0000 + 0.0000 0.3333 0.0000 -0.3333 0.0000 0.3333 + 0.3333 -0.2887 0.1667 -0.0000 -0.1667 0.2887 + -0.0000 0.1667 -0.2887 0.3333 -0.2887 0.1667]; + +hi0filt = [ +-0.00033429 -0.00113093 -0.00171484 -0.00133542 -0.00080639 -0.00133542 -0.00171484 -0.00113093 -0.00033429 +-0.00113093 -0.00350017 -0.00243812 0.00631653 0.01261227 0.00631653 -0.00243812 -0.00350017 -0.00113093 +-0.00171484 -0.00243812 -0.00290081 -0.00673482 -0.00981051 -0.00673482 -0.00290081 -0.00243812 -0.00171484 +-0.00133542 0.00631653 -0.00673482 -0.07027679 -0.11435863 -0.07027679 -0.00673482 0.00631653 -0.00133542 +-0.00080639 0.01261227 -0.00981051 -0.11435863 0.81380200 -0.11435863 -0.00981051 0.01261227 -0.00080639 +-0.00133542 0.00631653 -0.00673482 -0.07027679 -0.11435863 -0.07027679 -0.00673482 0.00631653 -0.00133542 +-0.00171484 -0.00243812 -0.00290081 -0.00673482 -0.00981051 -0.00673482 -0.00290081 -0.00243812 -0.00171484 +-0.00113093 -0.00350017 -0.00243812 0.00631653 0.01261227 0.00631653 -0.00243812 -0.00350017 -0.00113093 +-0.00033429 -0.00113093 -0.00171484 -0.00133542 -0.00080639 -0.00133542 -0.00171484 -0.00113093 -0.00033429]; + + +lo0filt = [ +0.00341614 -0.01551246 -0.03848215 -0.01551246 0.00341614 +-0.01551246 0.05586982 0.15925570 0.05586982 -0.01551246 +-0.03848215 0.15925570 0.40304148 0.15925570 -0.03848215 +-0.01551246 0.05586982 0.15925570 0.05586982 -0.01551246 +0.00341614 -0.01551246 -0.03848215 -0.01551246 0.00341614]; + +lofilt = 2*[ +0.00085404 -0.00244917 -0.00387812 -0.00944432 -0.00962054 -0.00944432 -0.00387812 -0.00244917 0.00085404 +-0.00244917 -0.00523281 -0.00661117 0.00410600 0.01002988 0.00410600 -0.00661117 -0.00523281 -0.00244917 +-0.00387812 -0.00661117 0.01396746 0.03277038 0.03981393 0.03277038 0.01396746 -0.00661117 -0.00387812 +-0.00944432 0.00410600 0.03277038 0.06426333 0.08169618 0.06426333 0.03277038 0.00410600 -0.00944432 +-0.00962054 0.01002988 0.03981393 0.08169618 0.10096540 0.08169618 0.03981393 0.01002988 -0.00962054 +-0.00944432 0.00410600 0.03277038 0.06426333 0.08169618 0.06426333 0.03277038 0.00410600 -0.00944432 +-0.00387812 -0.00661117 0.01396746 0.03277038 0.03981393 0.03277038 0.01396746 -0.00661117 -0.00387812 +-0.00244917 -0.00523281 -0.00661117 0.00410600 0.01002988 0.00410600 -0.00661117 -0.00523281 -0.00244917 +0.00085404 -0.00244917 -0.00387812 -0.00944432 -0.00962054 -0.00944432 -0.00387812 -0.00244917 0.00085404]; + +bfilts = [... + 0.00277643 0.00496194 0.01026699 0.01455399 0.01026699 0.00496194 0.00277643 ... +-0.00986904 -0.00893064 0.01189859 0.02755155 0.01189859 -0.00893064 -0.00986904 ... +-0.01021852 -0.03075356 -0.08226445 -0.11732297 -0.08226445 -0.03075356 -0.01021852 ... + 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ... + 0.01021852 0.03075356 0.08226445 0.11732297 0.08226445 0.03075356 0.01021852 ... + 0.00986904 0.00893064 -0.01189859 -0.02755155 -0.01189859 0.00893064 0.00986904 ... +-0.00277643 -0.00496194 -0.01026699 -0.01455399 -0.01026699 -0.00496194 -0.00277643; +... +-0.00343249 -0.00640815 -0.00073141 0.01124321 0.00182078 0.00285723 0.01166982 ... +-0.00358461 -0.01977507 -0.04084211 -0.00228219 0.03930573 0.01161195 0.00128000 ... + 0.01047717 0.01486305 -0.04819057 -0.12227230 -0.05394139 0.00853965 -0.00459034 ... + 0.00790407 0.04435647 0.09454202 -0.00000000 -0.09454202 -0.04435647 -0.00790407 ... + 0.00459034 -0.00853965 0.05394139 0.12227230 0.04819057 -0.01486305 -0.01047717 ... +-0.00128000 -0.01161195 -0.03930573 0.00228219 0.04084211 0.01977507 0.00358461 ... +-0.01166982 -0.00285723 -0.00182078 -0.01124321 0.00073141 0.00640815 0.00343249; +... + 0.00343249 0.00358461 -0.01047717 -0.00790407 -0.00459034 0.00128000 0.01166982 ... + 0.00640815 0.01977507 -0.01486305 -0.04435647 0.00853965 0.01161195 0.00285723 ... + 0.00073141 0.04084211 0.04819057 -0.09454202 -0.05394139 0.03930573 0.00182078 ... +-0.01124321 0.00228219 0.12227230 -0.00000000 -0.12227230 -0.00228219 0.01124321 ... +-0.00182078 -0.03930573 0.05394139 0.09454202 -0.04819057 -0.04084211 -0.00073141 ... +-0.00285723 -0.01161195 -0.00853965 0.04435647 0.01486305 -0.01977507 -0.00640815 ... +-0.01166982 -0.00128000 0.00459034 0.00790407 0.01047717 -0.00358461 -0.00343249; +... +-0.00277643 0.00986904 0.01021852 -0.00000000 -0.01021852 -0.00986904 0.00277643 ... +-0.00496194 0.00893064 0.03075356 -0.00000000 -0.03075356 -0.00893064 0.00496194 ... +-0.01026699 -0.01189859 0.08226445 -0.00000000 -0.08226445 0.01189859 0.01026699 ... +-0.01455399 -0.02755155 0.11732297 -0.00000000 -0.11732297 0.02755155 0.01455399 ... +-0.01026699 -0.01189859 0.08226445 -0.00000000 -0.08226445 0.01189859 0.01026699 ... +-0.00496194 0.00893064 0.03075356 -0.00000000 -0.03075356 -0.00893064 0.00496194 ... +-0.00277643 0.00986904 0.01021852 -0.00000000 -0.01021852 -0.00986904 0.00277643; +... +-0.01166982 -0.00128000 0.00459034 0.00790407 0.01047717 -0.00358461 -0.00343249 ... +-0.00285723 -0.01161195 -0.00853965 0.04435647 0.01486305 -0.01977507 -0.00640815 ... +-0.00182078 -0.03930573 0.05394139 0.09454202 -0.04819057 -0.04084211 -0.00073141 ... +-0.01124321 0.00228219 0.12227230 -0.00000000 -0.12227230 -0.00228219 0.01124321 ... + 0.00073141 0.04084211 0.04819057 -0.09454202 -0.05394139 0.03930573 0.00182078 ... + 0.00640815 0.01977507 -0.01486305 -0.04435647 0.00853965 0.01161195 0.00285723 ... + 0.00343249 0.00358461 -0.01047717 -0.00790407 -0.00459034 0.00128000 0.01166982; +... +-0.01166982 -0.00285723 -0.00182078 -0.01124321 0.00073141 0.00640815 0.00343249 ... +-0.00128000 -0.01161195 -0.03930573 0.00228219 0.04084211 0.01977507 0.00358461 ... + 0.00459034 -0.00853965 0.05394139 0.12227230 0.04819057 -0.01486305 -0.01047717 ... + 0.00790407 0.04435647 0.09454202 -0.00000000 -0.09454202 -0.04435647 -0.00790407 ... + 0.01047717 0.01486305 -0.04819057 -0.12227230 -0.05394139 0.00853965 -0.00459034 ... +-0.00358461 -0.01977507 -0.04084211 -0.00228219 0.03930573 0.01161195 0.00128000 ... +-0.00343249 -0.00640815 -0.00073141 0.01124321 0.00182078 0.00285723 0.01166982]'; diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/spyrBand.m b/matlab/external/gptoolbox/external/matlabPyrTools/spyrBand.m new file mode 100644 index 0000000..474a8dc --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/spyrBand.m @@ -0,0 +1,34 @@ +% [LEV,IND] = spyrBand(PYR,INDICES,LEVEL,BAND) +% +% Access a band from a steerable pyramid. +% +% LEVEL indicates the scale (finest = 1, coarsest = spyrHt(INDICES)). +% +% BAND (optional, default=1) indicates which subband +% (1 = vertical, rest proceeding anti-clockwise). + +% Eero Simoncelli, 6/96. + +function res = spyrBand(pyr,pind,level,band) + +if (exist('level') ~= 1) + level = 1; +end + +if (exist('band') ~= 1) + band = 1; +end + +nbands = spyrNumBands(pind); +if ((band > nbands) | (band < 1)) + error(sprintf('Bad band number (%d) should be in range [1,%d].', band, nbands)); +end + +maxLev = spyrHt(pind); +if ((level > maxLev) | (level < 1)) + error(sprintf('Bad level number (%d), should be in range [1,%d].', level, maxLev)); +end + +firstband = 1 + band + nbands*(level-1); +res = pyrBand(pyr, pind, firstband); + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/spyrHigh.m b/matlab/external/gptoolbox/external/matlabPyrTools/spyrHigh.m new file mode 100644 index 0000000..f91b466 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/spyrHigh.m @@ -0,0 +1,10 @@ +% RES = spyrHigh(PYR, INDICES) +% +% Access the highpass residual band from a steerable pyramid. + +% Eero Simoncelli, 6/96. + +function res = spyrHigh(pyr,pind) + +res = pyrBand(pyr, pind, 1); + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/spyrHt.m b/matlab/external/gptoolbox/external/matlabPyrTools/spyrHt.m new file mode 100644 index 0000000..8706b9e --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/spyrHt.m @@ -0,0 +1,16 @@ +% [HEIGHT] = spyrHt(INDICES) +% +% Compute height of steerable pyramid with given index matrix. + +% Eero Simoncelli, 6/96. + +function [ht] = spyrHt(pind) + +nbands = spyrNumBands(pind); + +% Don't count lowpass, or highpass residual bands +if (size(pind,1) > 2) + ht = (size(pind,1)-2)/nbands; +else + ht = 0; +end diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/spyrLev.m b/matlab/external/gptoolbox/external/matlabPyrTools/spyrLev.m new file mode 100644 index 0000000..5cb4a85 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/spyrLev.m @@ -0,0 +1,24 @@ +% [LEV,IND] = spyrLev(PYR,INDICES,LEVEL) +% +% Access a level from a steerable pyramid. +% Return as an SxB matrix, B = number of bands, S = total size of a band. +% Also returns an Bx2 matrix containing dimensions of the subbands. + +% Eero Simoncelli, 6/96. + +function [lev,ind] = spyrLev(pyr,pind,level) + +nbands = spyrNumBands(pind); + +if ((level > spyrHt(pind)) | (level < 1)) + error(sprintf('Level number must be in the range [1, %d].', spyrHt(pind))); +end + +firstband = 2 + nbands*(level-1); +firstind = 1; +for l=1:firstband-1 + firstind = firstind + prod(pind(l,:)); +end + +ind = pind(firstband:firstband+nbands-1,:); +lev = pyr(firstind:firstind+sum(prod(ind'))-1); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/spyrNumBands.m b/matlab/external/gptoolbox/external/matlabPyrTools/spyrNumBands.m new file mode 100644 index 0000000..68aec3f --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/spyrNumBands.m @@ -0,0 +1,20 @@ +% [NBANDS] = spyrNumBands(INDICES) +% +% Compute number of orientation bands in a steerable pyramid with +% given index matrix. If the pyramid contains only the highpass and +% lowpass bands (i.e., zero levels), returns 0. + +% Eero Simoncelli, 2/97. + +function [nbands] = spyrNumBands(pind) + +if (size(pind,1) == 2) + nbands = 0; +else + % Count number of orientation bands: + b = 3; + while ((b <= size(pind,1)) & all( pind(b,:) == pind(2,:)) ) + b = b+1; + end + nbands = b-2; +end diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/steer.m b/matlab/external/gptoolbox/external/matlabPyrTools/steer.m new file mode 100644 index 0000000..8f9c2ac --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/steer.m @@ -0,0 +1,68 @@ +% RES = STEER(BASIS, ANGLE, HARMONICS, STEERMTX) +% +% Steer BASIS to the specfied ANGLE. +% +% BASIS should be a matrix whose columns are vectorized rotated copies of a +% steerable function, or the responses of a set of steerable filters. +% +% ANGLE can be a scalar, or a column vector the size of the basis. +% +% HARMONICS (optional, default is N even or odd low frequencies, as for +% derivative filters) should be a list of harmonic numbers indicating +% the angular harmonic content of the basis. +% +% STEERMTX (optional, default assumes cosine phase harmonic components, +% and filter positions at 2pi*n/N) should be a matrix which maps +% the filters onto Fourier series components (ordered [cos0 cos1 sin1 +% cos2 sin2 ... sinN]). See steer2HarmMtx.m + +% Eero Simoncelli, 7/96. + +function res = steer(basis,angle,harmonics,steermtx) + +num = size(basis,2); + +if ( any(size(angle) ~= [size(basis,1) 1]) & any(size(angle) ~= [1 1]) ) + error('ANGLE must be a scalar, or a column vector the size of the basis elements'); +end + +%% If HARMONICS are not passed, assume derivatives. +if (exist('harmonics') ~= 1) + if (mod(num,2) == 0) + harmonics = [0:(num/2)-1]'*2 + 1; + else + harmonics = [0:(num-1)/2]'*2; + end +else + harmonics = harmonics(:); + if ((2*size(harmonics,1)-any(harmonics == 0)) ~= num) + error('harmonics list is incompatible with basis size'); + end +end + +%% If STEERMTX not passed, assume evenly distributed cosine-phase filters: +if (exist('steermtx') ~= 1) + steermtx = steer2HarmMtx(harmonics, pi*[0:num-1]/num, 'even'); +end + +steervect = zeros(size(angle,1),num); +arg = angle * harmonics(find(harmonics~=0))'; +if (all(harmonics)) + steervect(:, 1:2:num) = cos(arg); + steervect(:, 2:2:num) = sin(arg); +else + steervect(:, 1) = ones(size(arg,1),1); + steervect(:, 2:2:num) = cos(arg); + steervect(:, 3:2:num) = sin(arg); +end + +steervect = steervect * steermtx; + +if (size(steervect,1) > 1) + tmp = basis' .* steervect'; + res = sum(tmp)'; +else + res = basis * steervect'; +end + + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/steer2HarmMtx.m b/matlab/external/gptoolbox/external/matlabPyrTools/steer2HarmMtx.m new file mode 100644 index 0000000..1f3e80e --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/steer2HarmMtx.m @@ -0,0 +1,71 @@ +% MTX = steer2HarmMtx(HARMONICS, ANGLES, REL_PHASES) +% +% Compute a steering matrix (maps a directional basis set onto the +% angular Fourier harmonics). HARMONICS is a vector specifying the +% angular harmonics contained in the steerable basis/filters. ANGLES +% (optional) is a vector specifying the angular position of each filter. +% REL_PHASES (optional, default = 'even') specifies whether the harmonics +% are cosine or sine phase aligned about those positions. +% The result matrix is suitable for passing to the function STEER. + +% Eero Simoncelli, 7/96. + +function mtx = steer2HarmMtx(harmonics, angles, evenorodd) + +%%================================================================= +%%% Optional Parameters: + +if (exist('evenorodd') ~= 1) + evenorodd = 'even'; +end + +% Make HARMONICS a row vector +harmonics = harmonics(:)'; + +numh = 2*size(harmonics,2) - any(harmonics == 0); + +if (exist('angles') ~= 1) + angles = pi * [0:numh-1]'/numh; +else + angles = angles(:); +end + +%%================================================================= + +if isstr(evenorodd) + if strcmp(evenorodd,'even') + evenorodd = 0; + elseif strcmp(evenorodd,'odd') + evenorodd = 1; + else + error('EVEN_OR_ODD should be the string EVEN or ODD'); + end +end + +%% Compute inverse matrix, which maps Fourier components onto +%% steerable basis. +imtx = zeros(size(angles,1),numh); +col = 1; +for h=harmonics + args = h*angles; + if (h == 0) + imtx(:,col) = ones(size(angles)); + col = col+1; + elseif evenorodd + imtx(:,col) = sin(args); + imtx(:,col+1) = -cos(args); + col = col+2; + else + imtx(:,col) = cos(args); + imtx(:,col+1) = sin(args); + col = col+2; + end +end + +r = rank(imtx); +if (( r ~= numh ) & ( r ~= size(angles,1) )) + fprintf(2,'WARNING: matrix is not full rank'); +end + +mtx = pinv(imtx); + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/subMtx.m b/matlab/external/gptoolbox/external/matlabPyrTools/subMtx.m new file mode 100644 index 0000000..ea3c2ea --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/subMtx.m @@ -0,0 +1,21 @@ +% MTX = subMtx(VEC, DIMENSIONS, START_INDEX) +% +% Reshape a portion of VEC starting from START_INDEX (optional, +% default=1) to the given dimensions. + +% Eero Simoncelli, 6/96. + +function mtx = subMtx(vec, sz, offset) + +if (exist('offset') ~= 1) + offset = 1; +end + +vec = vec(:); +sz = sz(:); + +if (size(sz,1) ~= 2) + error('DIMENSIONS must be a 2-vector.'); +end + +mtx = reshape( vec(offset:offset+prod(sz)-1), sz(1), sz(2) ); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/upBlur.m b/matlab/external/gptoolbox/external/matlabPyrTools/upBlur.m new file mode 100644 index 0000000..948c2e1 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/upBlur.m @@ -0,0 +1,52 @@ +% RES = upBlur(IM, LEVELS, FILT) +% +% Upsample and blur an image. The blurring is done with filter +% kernel specified by FILT (default = 'binom5'), which can be a string +% (to be passed to namedFilter), a vector (applied separably as a 1D +% convolution kernel in X and Y), or a matrix (applied as a 2D +% convolution kernel). The downsampling is always by 2 in each +% direction. +% +% The procedure is applied recursively LEVELS times (default=1). + +% Eero Simoncelli, 4/97. + +function res = upBlur(im, nlevs, filt) + +%------------------------------------------------------------ +%% OPTIONAL ARGS: + +if (exist('nlevs') ~= 1) + nlevs = 1; +end + +if (exist('filt') ~= 1) + filt = 'binom5'; +end + +%------------------------------------------------------------ + +if isstr(filt) + filt = namedFilter(filt); +end + +if nlevs > 1 + im = upBlur(im,nlevs-1,filt); +end + +if (nlevs >= 1) + if (any(size(im)==1)) + if (size(im,1)==1) + filt = filt'; + end + res = upConv(im,filt,'reflect1',(size(im)~=1)+1); + elseif (any(size(filt)==1)) + filt = filt(:); + res = upConv(im,filt,'reflect1',[2 1]); + res = upConv(res,filt','reflect1',[1 2]); + else + res = upConv(im,filt,'reflect1',[2 2]); + end +else + res = im; +end diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/upConv.m b/matlab/external/gptoolbox/external/matlabPyrTools/upConv.m new file mode 100644 index 0000000..4d1ffd9 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/upConv.m @@ -0,0 +1,80 @@ +% RES = upConv(IM, FILT, EDGES, STEP, START, STOP, RES) +% +% Upsample matrix IM, followed by convolution with matrix FILT. These +% arguments should be 1D or 2D matrices, and IM must be larger (in +% both dimensions) than FILT. The origin of filt +% is assumed to be floor(size(filt)/2)+1. +% +% EDGES is a string determining boundary handling: +% 'circular' - Circular convolution +% 'reflect1' - Reflect about the edge pixels +% 'reflect2' - Reflect, doubling the edge pixels +% 'repeat' - Repeat the edge pixels +% 'zero' - Assume values of zero outside image boundary +% 'extend' - Reflect and invert +% 'dont-compute' - Zero output when filter overhangs OUTPUT boundaries +% +% Upsampling factors are determined by STEP (optional, default=[1 1]), +% a 2-vector [y,x]. +% +% The window over which the convolution occurs is specfied by START +% (optional, default=[1,1], and STOP (optional, default = +% step .* (size(IM) + floor((start-1)./step))). +% +% RES is an optional result matrix. The convolution result will be +% destructively added into this matrix. If this argument is passed, the +% result matrix will not be returned. DO NOT USE THIS ARGUMENT IF +% YOU DO NOT UNDERSTAND WHAT THIS MEANS!! +% +% NOTE: this operation corresponds to multiplication of a signal +% vector by a matrix whose columns contain copies of the time-reversed +% (or space-reversed) FILT shifted by multiples of STEP. See corrDn.m +% for the operation corresponding to the transpose of this matrix. + +% Eero Simoncelli, 6/96. revised 2/97. + +function result = upConv(im,filt,edges,step,start,stop,res) + +%% THIS CODE IS NOT ACTUALLY USED! (MEX FILE IS CALLED INSTEAD) + +fprintf(1,'WARNING: You should compile the MEX version of "upConv.c",\n found in the MEX subdirectory of matlabPyrTools, and put it in your matlab path. It is MUCH faster, and provides more boundary-handling options.\n'); + +%------------------------------------------------------------ +%% OPTIONAL ARGS: + +if (exist('edges') == 1) + if (strcmp(edges,'reflect1') ~= 1) + warning('Using REFLECT1 edge-handling (use MEX code for other options).'); + end +end + +if (exist('step') ~= 1) + step = [1,1]; +end + +if (exist('start') ~= 1) + start = [1,1]; +end + +% A multiple of step +if (exist('stop') ~= 1) + stop = step .* (floor((start-ones(size(start)))./step)+size(im)) +end + +if ( ceil((stop(1)+1-start(1)) / step(1)) ~= size(im,1) ) + error('Bad Y result dimension'); +end +if ( ceil((stop(2)+1-start(2)) / step(2)) ~= size(im,2) ) + error('Bad X result dimension'); +end + +if (exist('res') ~= 1) + res = zeros(stop-start+1); +end + +%------------------------------------------------------------ + +tmp = zeros(size(res)); +tmp(start(1):step(1):stop(1),start(2):step(2):stop(2)) = im; + +result = rconv2(tmp,filt) + res; diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/upConv.mexa64 b/matlab/external/gptoolbox/external/matlabPyrTools/upConv.mexa64 new file mode 100644 index 0000000..e38c594 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/upConv.mexa64 differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/upConv.mexglx b/matlab/external/gptoolbox/external/matlabPyrTools/upConv.mexglx new file mode 100644 index 0000000..3b12479 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/upConv.mexglx differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/upConv.mexmac b/matlab/external/gptoolbox/external/matlabPyrTools/upConv.mexmac new file mode 100644 index 0000000..98e7560 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/upConv.mexmac differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/upConv.mexw32 b/matlab/external/gptoolbox/external/matlabPyrTools/upConv.mexw32 new file mode 100644 index 0000000..36d5011 Binary files /dev/null and b/matlab/external/gptoolbox/external/matlabPyrTools/upConv.mexw32 differ diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/var2.m b/matlab/external/gptoolbox/external/matlabPyrTools/var2.m new file mode 100644 index 0000000..6957eff --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/var2.m @@ -0,0 +1,17 @@ +% V = VAR2(MTX,MEAN) +% +% Sample variance of a matrix. +% Passing MEAN (optional) makes the calculation faster. + +function res = var2(mtx, mn) + +if (exist('mn') ~= 1) + mn = mean2(mtx); +end + +if (isreal(mtx)) + res = sum(sum(abs(mtx-mn).^2)) / max((prod(size(mtx)) - 1),1); +else + res = sum(sum(real(mtx-mn).^2)) + i*sum(sum(imag(mtx-mn).^2)); + res = res / max((prod(size(mtx)) - 1),1); +end diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/vectify.m b/matlab/external/gptoolbox/external/matlabPyrTools/vectify.m new file mode 100644 index 0000000..3664223 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/vectify.m @@ -0,0 +1,8 @@ +% [VEC] = columnize(MTX) +% +% Pack elements of MTX into a column vector. Just provides a +% function-call notatoin for the operation MTX(:) + +function vec = columnize(mtx) + +vec = mtx(:); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/wpyrBand.m b/matlab/external/gptoolbox/external/matlabPyrTools/wpyrBand.m new file mode 100644 index 0000000..c027cca --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/wpyrBand.m @@ -0,0 +1,39 @@ +% RES = wpyrBand(PYR, INDICES, LEVEL, BAND) +% +% Access a subband from a separable QMF/wavelet pyramid. +% +% LEVEL (optional, default=1) indicates the scale (finest = 1, +% coarsest = wpyrHt(INDICES)). +% +% BAND (optional, default=1) indicates which subband (1=horizontal, +% 2=vertical, 3=diagonal). + +% Eero Simoncelli, 6/96. + +function im = wpyrBand(pyr,pind,level,band) + +if (exist('level') ~= 1) + level = 1; +end + +if (exist('band') ~= 1) + band = 1; +end + +if ((pind(1,1) == 1) | (pind(1,2) ==1)) + nbands = 1; +else + nbands = 3; +end + +if ((band > nbands) | (band < 1)) + error(sprintf('Bad band number (%d) should be in range [1,%d].', band, nbands)); +end + +maxLev = wpyrHt(pind); +if ((level > maxLev) | (level < 1)) + error(sprintf('Bad level number (%d), should be in range [1,%d].', level, maxLev)); +end + +band = band + nbands*(level-1); +im = pyrBand(pyr,pind,band); diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/wpyrHt.m b/matlab/external/gptoolbox/external/matlabPyrTools/wpyrHt.m new file mode 100644 index 0000000..476be83 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/wpyrHt.m @@ -0,0 +1,15 @@ +% [HEIGHT] = wpyrHt(INDICES) +% +% Compute height of separable QMF/wavelet pyramid with given index matrix. + +% Eero Simoncelli, 6/96. + +function [ht] = wpyrHt(pind) + +if ((pind(1,1) == 1) | (pind(1,2) ==1)) + nbands = 1; +else + nbands = 3; +end + +ht = (size(pind,1)-1)/nbands; diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/wpyrLev.m b/matlab/external/gptoolbox/external/matlabPyrTools/wpyrLev.m new file mode 100644 index 0000000..18f30ae --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/wpyrLev.m @@ -0,0 +1,30 @@ +% [LEV,IND] = wpyrLev(PYR,INDICES,LEVEL) +% +% Access a level from a separable QMF/wavelet pyramid. +% Return as an SxB matrix, B = number of bands, S = total size of a band. +% Also returns an Bx2 matrix containing dimensions of the subbands. + +% Eero Simoncelli, 6/96. + +function [lev,ind] = wpyrLev(pyr,pind,level) + +if ((pind(1,1) == 1) | (pind(1,2) ==1)) + nbands = 1; +else + nbands = 3; +end + +if ((level > wpyrHt(pind)) | (level < 1)) + error(sprintf('Level number must be in the range [1, %d].', wpyrHt(pind))); +end + +firstband = 1 + nbands*(level-1) +firstind = 1; +for l=1:firstband-1 + firstind = firstind + prod(pind(l,:)); +end + + +ind = pind(firstband:firstband+nbands-1,:); +lev = pyr(firstind:firstind+sum(prod(ind'))-1); + diff --git a/matlab/external/gptoolbox/external/matlabPyrTools/zconv2.m b/matlab/external/gptoolbox/external/matlabPyrTools/zconv2.m new file mode 100644 index 0000000..f678d89 --- /dev/null +++ b/matlab/external/gptoolbox/external/matlabPyrTools/zconv2.m @@ -0,0 +1,41 @@ +% RES = ZCONV2(MTX1, MTX2, CTR) +% +% Convolution of two matrices, with boundaries handled as if the larger mtx +% lies in a sea of zeros. Result will be of size of LARGER vector. +% +% The origin of the smaller matrix is assumed to be its center. +% For even dimensions, the origin is determined by the CTR (optional) +% argument: +% CTR origin +% 0 DIM/2 (default) +% 1 (DIM/2)+1 (behaves like conv2(mtx1,mtx2,'same')) + +% Eero Simoncelli, 2/97. + +function c = zconv2(a,b,ctr) + +if (exist('ctr') ~= 1) + ctr = 0; +end + +if (( size(a,1) >= size(b,1) ) & ( size(a,2) >= size(b,2) )) + large = a; small = b; +elseif (( size(a,1) <= size(b,1) ) & ( size(a,2) <= size(b,2) )) + large = b; small = a; +else + error('one arg must be larger than the other in both dimensions!'); +end + +ly = size(large,1); +lx = size(large,2); +sy = size(small,1); +sx = size(small,2); + +%% These values are the index of the small mtx that falls on the +%% border pixel of the large matrix when computing the first +%% convolution response sample: +sy2 = floor((sy+ctr+1)/2); +sx2 = floor((sx+ctr+1)/2); + +clarge = conv2(large,small); +c = clarge(sy2:ly+sy2-1, sx2:lx+sx2-1); diff --git a/matlab/external/gptoolbox/external/mls/MLSD2DTransform.m b/matlab/external/gptoolbox/external/mls/MLSD2DTransform.m new file mode 100644 index 0000000..f66b5ef --- /dev/null +++ b/matlab/external/gptoolbox/external/mls/MLSD2DTransform.m @@ -0,0 +1,242 @@ +function fv = MLSD2DTransform(varargin) +% MLSD2DTRANSFORM Generates a 2D MLSD structure. +% +% function fv = MLSD2DTransform(mlsd,q) +% +% This function transform the v points. For more informations see [1]. +% +% [1] "Image Deformation Using Moving Least Squares", +% Scott Schaefer, Travis McPhail, Joe Warren +% +% Parameters +% ---------- +% IN: +% mlsd = A valid mlsd structure. +% q = A valid set of new handles (2|3xN points or 4xN segments). +% OUT: +% fv = The new points obtained moving v. + +% Parsing parameters: +[mlsd,q] = ParseParams(varargin{:}); + +% Selecting the type of constrint objects: +switch mlsd.constr + % Points constrained transformation: + case 'points' + % Selecting the type of transformation: + switch mlsd.type + case 'affine' + fv = PointsTransformAffine(mlsd,q); + case 'similar' + fv = PointsTransformSimilar(mlsd,q); + case 'rigid' + fv = PointsTransformRigid(mlsd,q); + end + % Segments constrained transformation: + case 'lines' + % Selecting the type of transformation: + switch mlsd.type + case 'affine' + fv = LinesTransformAffine(mlsd,q); + case 'similar' + fv = LinesTransformSimilar(mlsd,q); + case 'rigid' + fv = LinesTransformRigid(mlsd,q); + end +end + +% ------------------------ LOCAL FUNCTIONS ------------------------ + +% Precomputing weighted centroids: +function Qstar = PrecomputeWCentroids(p,w) + +% Computing the centroids: +Qstar = (p*w)./repmat(sum(w,1),[size(p,1),1]); + +% ----------------------------------------------------------------- + +% Precomputing weighted centroids: +function Qstar = PrecomputeWCentroidsLines(q,W,denStar) + +% Initializing the Pstar array: +Qstar = zeros(2,size(W.d00,2)); + +% Iterating on segments: +for i=1:size(q,2) + % Auxiliary: + d00_d01 = W.d00(i,:) + W.d01(i,:); + d01_d11 = W.d01(i,:) + W.d11(i,:); + + % Updating the centroids: + Qstar = Qstar + repmat(q(1:2,i),[1,size(d00_d01,2)]).*[d00_d01;d00_d01] + ... + repmat(q(3:4,i),[1,size(d00_d01,2)]).*[d01_d11;d01_d11]; +end + +% Computing the centroids: +Qstar = Qstar./repmat(denStar,[2,1]); + +% ----------------------------------------------------------------- + +% An affine transformation: +function fv = PointsTransformAffine(mlsd,q) + +% Computing the weighted centroids: +Qstar = PrecomputeWCentroids(q,mlsd.w); +fv = Qstar; + +% Adding the affine parts (without the computed translation): +for j=1:size(q,2) + % Computing the hat points: + Qhat = repmat(q(:,j),[1,size(Qstar,2)])-Qstar; + + % Updating: + fv = fv + Qhat.*repmat(mlsd.data.A(j,:),[size(Qhat,1),1]); +end + +% ----------------------------------------------------------------- + +% A similar transformation: +function fv = PointsTransformSimilar(mlsd,q) + +% Computing the weighted centroids: +Qstar = PrecomputeWCentroids(q,mlsd.w); +fv = Qstar; + +% Adding the affine parts (without the computed translation): +for i=1:size(q,2) + % Computing the hat points: + Qhat = repmat(q(:,i),[1,size(Qstar,2)])-Qstar; + + % Updating: + fv = fv + [sum(Qhat.*[mlsd.data.A{i}.a;mlsd.data.A{i}.c],1); ... + sum(Qhat.*[mlsd.data.A{i}.b;mlsd.data.A{i}.d],1)]; +end + +% ----------------------------------------------------------------- + +% A similar transformation: +function fv = PointsTransformRigid(mlsd,q) + +% Computing the weighted centroids: +Qstar = PrecomputeWCentroids(q,mlsd.w); + +% Computing the first step: +fv2 = zeros(size(Qstar)); +for i=1:size(q,2) + % Computing the hat points: + Qhat = repmat(q(:,i),[1,size(Qstar,2)])-Qstar; + + % Adding a vector: + fv2 = fv2 + [sum(Qhat.*[mlsd.data.A{i}.a;mlsd.data.A{i}.c],1); ... + sum(Qhat.*[mlsd.data.A{i}.b;mlsd.data.A{i}.d],1)]; +end + +% The norms of fv2: +normof_fv2 = sqrt(sum(fv2.^2,1)); + +% The normalization factor: +norm_fact = mlsd.data.normof_v_Pstar./normof_fv2; + +% Generating the output: +fv = fv2.*repmat(norm_fact,[size(fv2,1),1]) + Qstar; + +% ----------------------------------------------------------------- + +% An affine transformation: +function fv = LinesTransformAffine(mlsd,q) + +% Computing the weighted centroids: +Qstar = PrecomputeWCentroidsLines(q,mlsd.W,mlsd.data.denStar); +fv = Qstar; + +% Adding the affine parts (without the computed translation): +for j=1:size(q,2) + % Computing the hat points: + chat = repmat(q(1:2,j),[1,size(Qstar,2)])-Qstar; + dhat = repmat(q(3:4,j),[1,size(Qstar,2)])-Qstar; + + % Updating: + fv = fv + [mlsd.data.A{j}.a;mlsd.data.A{j}.a].*chat + ... + [mlsd.data.A{j}.b;mlsd.data.A{j}.b].*dhat; +end + +% ----------------------------------------------------------------- + +% An affine transformation: +function fv = LinesTransformSimilar(mlsd,q) + +% Computing the weighted centroids: +Qstar = PrecomputeWCentroidsLines(q,mlsd.W,mlsd.data.denStar); +fv = Qstar; + +% Adding the affine parts (without the computed translation): +for j=1:size(q,2) + % Computing the hat points: + chat = repmat(q(1:2,j),[1,size(Qstar,2)])-Qstar; + dhat = repmat(q(3:4,j),[1,size(Qstar,2)])-Qstar; + + % Updating: + L = [chat;dhat]; + A = mlsd.data.A{j}; + fv = fv + [sum(L.*[A.a11;A.a21;A.a31;A.a41],1); + sum(L.*[A.a12;A.a22;A.a32;A.a42],1)]; +end + +% ----------------------------------------------------------------- + +% An affine transformation: +function fv = LinesTransformRigid(mlsd,q) + +% Computing the weighted centroids: +Qstar = PrecomputeWCentroidsLines(q,mlsd.W,mlsd.data.denStar); + +% Adding the affine parts (without the computed translation): +fv2 = zeros(size(Qstar)); +for j=1:size(q,2) + % Computing the hat points: + chat = repmat(q(1:2,j),[1,size(Qstar,2)])-Qstar; + dhat = repmat(q(3:4,j),[1,size(Qstar,2)])-Qstar; + + % Adding a vector: + L = [chat;dhat]; + A = mlsd.data.A{j}; + fv2 = fv2 + [sum(L.*[A.a11;A.a21;A.a31;A.a41],1); + sum(L.*[A.a12;A.a22;A.a32;A.a42],1)]; +end + +% The norms of fv2: +normof_fv2 = sqrt(sum(fv2.^2,1)); +normof_fv2(find(normof_fv2==0)) = 1e-8; + +% The normalization factor: +norm_fact = mlsd.data.normof_v_Pstar./normof_fv2; + +% Generating the output: +fv = fv2.*repmat(norm_fact,[size(fv2,1),1]) + Qstar; + +% ----------------------------------------------------------------- + +% Parsing of parameters: +function [mlsd,q] = ParseParams(varargin) + +% Number of parameters: +if nargin<2 error('Too few parameters'); end +if nargin>2 error('Too many parameters'); end + +% Set up variables: +varnames = {'mlsd','q'}; +for ind=1:nargin + eval([varnames{ind} ' = varargin{ind} ;']); +end + +% The structure mlsd is not checked, it must be valid. + +% Checking the points q: +if size(q,1)<4 + q = points2dnormalize(q); +end + +% Checking the shape of q: +if size(q,2)~=size(mlsd.p,2) + error('The new handle must be the same number!'); +end diff --git a/matlab/external/gptoolbox/external/mls/MLSD2DWarp.m b/matlab/external/gptoolbox/external/mls/MLSD2DWarp.m new file mode 100644 index 0000000..4b33296 --- /dev/null +++ b/matlab/external/gptoolbox/external/mls/MLSD2DWarp.m @@ -0,0 +1,77 @@ +function [imgo,ifv,fv] = MLSD2DWarp(varargin) +% MLSD2DWARP Transforming an image warping a grid of points. +% +% function [imgo,ifv,fv] = MLSD2DWarp(img,mlsd,q,X,Y,mode) +% +% This function transform an image warping a grid of points at a certain +% step size. An MLSD is required. +% +% Parameters +% ---------- +% IN: +% img = The image to be warped. +% mlsd = An mlsd. +% q = The moved handles (2|3xN points or 4xN segments). +% X = The X grid (obtained with meshgrid). +% Y = The Y grid (obtained with meshgrid). +% mode = The interpolation mode: {'cubic','linear','nearest'}. (default='linear') +% OUT: +% imgo = The warped image. +% ifv = The inverse warping. +% fv = The warped image points. + +% Parsing parameters: +[img,mlsd,q,X,Y,mode] = ParseParams(varargin{:}); + +% Image info: +[h,w,c] = size(img); + +% Generating the grid: +v = [X(:)';Y(:)']; + +% Generating the complete grid: +[TX,TY] = meshgrid(1:w,1:h); + +% Computing the warp: +sfv = MLSD2DTransform(mlsd,q); + +% Computing the displacements: +dxy = v-sfv; +dxT = interp2(X,Y,reshape(dxy(1,:),size(X)),TX,TY); +dyT = interp2(X,Y,reshape(dxy(2,:),size(X)),TX,TY); + +% Computing the new (inverse) points: +ifXT = TX+dxT; +ifYT = TY+dyT; +ifv = [ifXT(:),ifYT(:)]'; + +% If required computing the direct points: +if nargout>2 + %Moving in the other direction: + fXT = TX-dxT; + fYT = TY-dyT; + fv = [fXT(:),fYT(:)]'; +end + +% Warping: +tmap = cat(3,ifXT,ifYT); +resamp = makeresampler(mode,'fill'); +imgo = tformarray(img,[],resamp,[2 1],[1 2],[],tmap,0); + +% ------------------------ LOCAL FUNCTIONS ------------------------ + +% Parsing of parameters: +function [img,mlsd,q,X,Y,mode] = ParseParams(varargin) + +% Number of parameters: +if nargin<5 error('Too few parameters'); end +if nargin>6 error('Too many parameters'); end + +% Set up variables: +varnames = {'img','mlsd','q','X','Y','mode'}; +for ind=1:nargin + eval([varnames{ind} ' = varargin{ind} ;']); +end + +% Default values: +if nargin<6 mode='linear'; end diff --git a/matlab/external/gptoolbox/external/mls/MLSD2DlinesPrecompute.m b/matlab/external/gptoolbox/external/mls/MLSD2DlinesPrecompute.m new file mode 100644 index 0000000..bea4dd9 --- /dev/null +++ b/matlab/external/gptoolbox/external/mls/MLSD2DlinesPrecompute.m @@ -0,0 +1,358 @@ +function mlsd = MLSD2DlinesPrecompute(varargin) +% MLSD2DLINESPRECOMPUTE Generates a 2D MLSD structure. +% +% function mlsd = MLSD2DlinesPrecompute(p,v,type) +% +% This function precomputes a set of values and generate an MLSD structure +% that embeds infos about the deformation algorithm to be used and embeds +% the parameters that must be used for the process. This function allows to +% initialize a deformation process of one or more an images. For more +% informations see [1]. +% +% [1] "Image Deformation Using Moving Least Squares", +% Scott Schaefer, Travis McPhail, Joe Warren +% +% Parameters +% ---------- +% IN: +% p = The starting position of the handles lines (as [a;b] vectors with +% a and b column points that define the extrema of the segment). +% v = The points to be moved (i.e. a grid). +% type = The algorithm type ('affine','similar','rigid'). (def='rigid') + +% Parsing parameters: +[p,v,type] = ParseParams(varargin{:}); + +% Removing coincidences: +v = RemoveCoincidences(v,p); + +% Precomputing the weights: +W = PrecomputeWeights(p,v); + +% Precomputing the centroids: +[Pstar,denStar] = PrecomputeWCentroids(p,W); + +% Preparing the structure: +mlsd.p = p; +mlsd.v = v; +mlsd.type = type; +mlsd.W = W; +mlsd.constr = 'lines'; + +% Selecting the generation function: +switch type + case 'affine' + mlsd.data = PrecomputeAffine(p,v,W,Pstar); + case 'similar' + mlsd.data = PrecomputeSimilar(p,v,W,Pstar); + case 'rigid' + mlsd.data = PrecomputeRigid(p,v,W,Pstar); +end + +% Other data: +mlsd.data.denStar = denStar; + +% ------------------------ LOCAL FUNCTIONS ------------------------ + +% Removing coincidences: +function v = RemoveCoincidences(v,p) + +% Iterating on points: +for i=1:size(p,2) + % Coincidences with a: + ind = find(v(1,:)==p(1,i) & v(2,:)==p(2,i)); + v(:,ind) = v(:,ind) + 1e-8; + + % Coincidences with b: + ind = find(v(1,:)==p(3,i) & v(2,:)==p(4,i)); + v(:,ind) = v(:,ind) + 1e-8; +end + +% ----------------------------------------------------------------- + +% Precomputing the weights: +function W = PrecomputeWeights(p,v) + +% Init W: +W.d00 = zeros(size(p,2),size(v,2)); +W.d01 = W.d00; +W.d11 = W.d00; + +% Computing usefull quantities: +a_b = p(1:2,:)-p(3:4,:); +b_a = -a_b; +for i=1:size(p,2) + % Computing the a-v and b-v values: + a_v = repmat(p(1:2,i),[1,size(v,2)])-v; + b_v = repmat(p(3:4,i),[1,size(v,2)])-v; + v_b = -b_v; + + % Computing the triplaned values: + a_v_t = [-a_v(2,:);a_v(1,:)]; + b_v_t = [-b_v(2,:);b_v(1,:)]; + + % Computing the big Delta and all the other combinations: + Num1 = b_v(1,:).*b_a(1,i) + b_v(2,:).*b_a(2,i); + Num2 = a_v(1,:).*a_b(1,i) + a_v(2,:).*a_b(2,i); + Den1 = b_v_t(1,:).*b_a(1,i) + b_v_t(2,:).*b_a(2,i); + Delta = a_v_t(1,:).*a_b(1,i) + a_v_t(2,:).*a_b(2,i); + + % Computing the angle theta: + theta = atan2(Den1,Num1)-atan2(Delta,Num2); + + % Clearing: + clear Num1 Num2 Den1 a_v_t b_v_t; + + % The beta vectors: + beta00 = sum(a_v.^2,1); + beta01 = sum(a_v.*v_b,1); + beta11 = sum(v_b.^2,1); + + %% Precomputing values: + %a_bNorm = norm(a_b(:,i)); + %a_bNorm_2Delta2 = a_bNorm./(2*Delta.^2); + %theta_Delta = theta./Delta; + % + %% Computing the weights: + %W.d00(i,:) = a_bNorm_2Delta2.*(beta01./beta00-beta11.*theta_Delta); + %W.d01(i,:) = a_bNorm_2Delta2.*(1-beta01.*theta_Delta); + %W.d11(i,:) = a_bNorm_2Delta2.*(beta01./beta11-beta00.*theta_Delta); + + % Getting the case vector: + DeltaIsZero = Delta==0; + + % The non-zero case: + ind = find(~DeltaIsZero); + a_bNorm = norm(a_b(:,i)); + a_bNorm_2Delta2 = a_bNorm./(2*Delta(ind).^2); + theta_Delta = theta(ind)./Delta(ind); + W.d00(i,ind) = a_bNorm_2Delta2.*(beta01(ind)./beta00(ind)-beta11(ind).*theta_Delta); + W.d01(i,ind) = a_bNorm_2Delta2.*(1-beta01(ind).*theta_Delta); + W.d11(i,ind) = a_bNorm_2Delta2.*(beta01(ind)./beta11(ind)-beta00(ind).*theta_Delta); + + + % The zero case: + ind = find(DeltaIsZero); + if ~isempty(ind) + % Computing the other elements: + a_bNorm5 = a_bNorm.^5; + a_vb_a = a_v(1,ind).*b_a(1,i) + a_v(2,ind).*b_a(2,i); + v_bb_a = v_b(1,ind).*b_a(1,i) + v_b(2,ind).*b_a(2,i); + W.d00(i,ind) = a_bNorm5./(3*v_bb_a.*a_vb_a.^3+1e-8); + W.d01(i,ind) = a_bNorm5./(6*v_bb_a.^2.*a_vb_a.^2+1e-8); + W.d11(i,ind) = a_bNorm5./(3*v_bb_a.^3.*a_vb_a+1e-8); + end + + % Clearing: + clear a_vb_a v_bb_a ind DeltaIsZero a_v b_v v_b; + % Clearing: + clear beta00 beta01 beta11 theta Delta theta_Delta; +end + +% ----------------------------------------------------------------- + +% Precomputing weighted centroids: +function [Pstar,denStar] = PrecomputeWCentroids(p,W) + +% Computing the den star: +denStar = sum(W.d00+2*W.d01+W.d11,1); + +% Initializing the Pstar array: +Pstar = zeros(2,size(W.d00,2)); + +% Iterating on segments: +for i=1:size(p,2) + % Auxiliary: + d00_d01 = W.d00(i,:) + W.d01(i,:); + d01_d11 = W.d01(i,:) + W.d11(i,:); + + % Updating the centroids: + Pstar = Pstar + repmat(p(1:2,i),[1,size(d00_d01,2)]).*[d00_d01;d00_d01] + ... + repmat(p(3:4,i),[1,size(d00_d01,2)]).*[d01_d11;d01_d11]; +end + +% Computing the centroids: +Pstar = Pstar./[denStar;denStar]; + +% ----------------------------------------------------------------- + +% Precomputing the affine deformation: +function data = PrecomputeAffine(p,v,W,Pstar) + +% Computing the ahat and bhat and the matrix elements: +ahat = cell(1,size(p,2)); +bhat = ahat; +a = zeros(1,size(Pstar,2)); +b = a; +d = a; +for i=1:size(p,2) + % Computing ahat{i} and bhat{i}: + ahat{i} = repmat(p(1:2,i),[1,size(Pstar,2)])-Pstar; + bhat{i} = repmat(p(3:4,i),[1,size(Pstar,2)])-Pstar; + + % Computing the matrix elements: + a = a + ahat{i}(1,:).^2.*W.d00(i,:) + ... + 2*ahat{i}(1,:).*bhat{i}(1,:).*W.d01(i,:) + ... + bhat{i}(1,:).^2.*W.d11(i,:); + b = b + ahat{i}(1,:).*ahat{i}(2,:).*W.d00(i,:) + ... + (ahat{i}(2,:).*bhat{i}(1,:)+ahat{i}(1,:).*bhat{i}(2,:)).*W.d01(i,:) + ... + bhat{i}(1,:).*bhat{i}(2,:).*W.d11(i,:); + d = d + ahat{i}(2,:).^2.*W.d00(i,:) + ... + 2*ahat{i}(2,:).*bhat{i}(2,:).*W.d01(i,:) + ... + bhat{i}(2,:).^2.*W.d11(i,:); +end + +% Computing the inverse: +det = a.*d - b.^2; +det(find(det==0)) = 1e-8; +Ia = d./det; +Ib = -b./det; +Id = a./det; + +% Computing the v-Pstar values: +M1 = v - Pstar; + +% Computing the first product elements: +F1 = [sum(M1.*[Ia;Ib],1);sum(M1.*[Ib;Id],1)]; + +% Computing the A values: +A = cell(1,size(p,2)); +for j=1:size(p,2) + % All but W: + a = sum(F1.*ahat{j},1); + b = sum(F1.*bhat{j},1); + + % Multipling per W: + A{j}.a = a.*W.d00(j,:) + b.*W.d01(j,:); + A{j}.b = a.*W.d01(j,:) + b.*W.d11(j,:); +end + +% The data structure: +data.A = A; + +% ----------------------------------------------------------------- + +% Precomputing the Asimilar: +function [A,R1] = PrecomputeA(Pstar,ahat,bhat,v,W) + +% Allocating: +A = cell(1,numel(ahat)); + +% Fixed part: +R1 = v - Pstar; +R2 = [R1(2,:);-R1(1,:)]; +% Iterating on segments: +for i=1:numel(ahat) + % The transformed versions: + ahat_t = [ahat{i}(2,:);-ahat{i}(1,:)]; + bhat_t = [bhat{i}(2,:);-bhat{i}(1,:)]; + + % Computing the first block: + a11 = sum(ahat{i}.*R1,1); + a12 = sum(ahat{i}.*R2,1); + a21 = sum(ahat_t.*R1,1); + a22 = sum(ahat_t.*R2,1); + a31 = sum(bhat{i}.*R1,1); + a32 = sum(bhat{i}.*R2,1); + a41 = sum(bhat_t.*R1,1); + a42 = sum(bhat_t.*R2,1); + + % Computing the values: + A{i}.a11 = a11.*W.d00(i,:) + a31.*W.d01(i,:); + A{i}.a12 = a12.*W.d00(i,:) + a32.*W.d01(i,:); + A{i}.a21 = a21.*W.d00(i,:) + a41.*W.d01(i,:); + A{i}.a22 = a22.*W.d00(i,:) + a42.*W.d01(i,:); + A{i}.a31 = a11.*W.d01(i,:) + a31.*W.d11(i,:); + A{i}.a32 = a12.*W.d01(i,:) + a32.*W.d11(i,:); + A{i}.a41 = a21.*W.d01(i,:) + a41.*W.d11(i,:); + A{i}.a42 = a22.*W.d01(i,:) + a42.*W.d11(i,:); +end + +% ----------------------------------------------------------------- + +% Precomputing the similar deformation: +function data = PrecomputeSimilar(p,v,W,Pstar) + +% Iterating on points: +ahat = cell(1,size(p,2)); +bhat = ahat; +mu = zeros(1,size(v,2)); +for i=1:size(p,2) + % Computing ahat{i} and bhat{i}: + ahat{i} = repmat(p(1:2,i),[1,size(Pstar,2)])-Pstar; + bhat{i} = repmat(p(3:4,i),[1,size(Pstar,2)])-Pstar; + + % Computing the mu values: + mu = mu + sum(ahat{i}.^2,1).*W.d00(i,:) + ... + 2*sum(ahat{i}.*bhat{i},1).*W.d01(i,:) + ... + sum(bhat{i}.^2,1).*W.d11(i,:); +end + +% Computing the matrix A: +A = PrecomputeA(Pstar,ahat,bhat,v,W); + +% Premultiplying A/mu: +for i=1:numel(A) + % Managing a single matrix: + A{i}.a11 = A{i}.a11./mu; + A{i}.a12 = A{i}.a12./mu; + A{i}.a21 = A{i}.a21./mu; + A{i}.a22 = A{i}.a22./mu; + A{i}.a31 = A{i}.a31./mu; + A{i}.a32 = A{i}.a32./mu; + A{i}.a41 = A{i}.a41./mu; + A{i}.a42 = A{i}.a42./mu; +end + +% The data structure: +data.A = A; + +% ----------------------------------------------------------------- + +% Precomputing the similar deformation: +function data = PrecomputeRigid(p,v,W,Pstar) + +% Iterating on points: +ahat = cell(1,size(p,2)); +bhat = ahat; +for i=1:size(p,2) + % Computing ahat{i} and bhat{i}: + ahat{i} = repmat(p(1:2,i),[1,size(Pstar,2)])-Pstar; + bhat{i} = repmat(p(3:4,i),[1,size(Pstar,2)])-Pstar; +end + +% Computing the matrix A and v-Pstar: +[A,v_Pstar] = PrecomputeA(Pstar,ahat,bhat,v,W); + +% The norm of v-Pstar: +normof_v_Pstar = sqrt(sum(v_Pstar.^2,1)); + +% The data structure: +data.A = A; +data.normof_v_Pstar = normof_v_Pstar; + +% ----------------------------------------------------------------- + +% Parsing of parameters: +function [p,v,type] = ParseParams(varargin) + +% Number of parameters: +if nargin<2 error('Too few parameters'); end +if nargin>3 error('Too many parameters'); end + +% Set up variables: +varnames = {'p','v','type'}; +for ind=1:nargin + eval([varnames{ind} ' = varargin{ind} ;']); +end + +% Default parameters: +if nargin<3 type='rigid'; end + +% Checking the points p and v: +v = points2dnormalize(v); + +% Check type param: +if ~strin(type,{'affine','similar','rigid'}) + error('Unknown algorithm type!'); +end diff --git a/matlab/external/gptoolbox/external/mls/MLSD2DpointsPrecompute.m b/matlab/external/gptoolbox/external/mls/MLSD2DpointsPrecompute.m new file mode 100644 index 0000000..24543b5 --- /dev/null +++ b/matlab/external/gptoolbox/external/mls/MLSD2DpointsPrecompute.m @@ -0,0 +1,241 @@ +function mlsd = MLSD2DpointsPrecompute(varargin) +% MLSD2DPOINTSPRECOMPUTE Generates a 2D MLSD structure. +% +% function mlsd = MLSD2DpointsPrecompute(p,v,type,a) +% +% This function precomputes a set of values and generate an MLSD structure +% that embeds infos about the deformation algorithm to be used and embeds +% the parameters that must be used for the process. This function allows to +% initialize a deformation process of one or more an images. For more +% informations see [1]. +% +% [1] "Image Deformation Using Moving Least Squares", +% Scott Schaefer, Travis McPhail, Joe Warren +% +% Parameters +% ---------- +% IN: +% p = The starting position of the handles points. +% v = The points to be moved (i.e. a grid). +% type = The algorithm type ('affine','similar','rigid'). (def='rigid') +% a = The order. (def=2) +% w = provide your own weights + +% Parsing parameters: +[p,v,type,a,w] = ParseParams(varargin{:}); + +% Precomputing the weights: +if(isempty(w)) + w = PrecomputeWeights(p,v,a); +end + +% Preparing the structure: +mlsd.p = p; +mlsd.v = v; +mlsd.type = type; +mlsd.w = w; +mlsd.constr = 'points'; + +% Selecting the generation function: +switch type + case 'affine' + mlsd.data = PrecomputeAffine(p,v,w); + case 'similar' + mlsd.data = PrecomputeSimilar(p,v,w); + case 'rigid' + mlsd.data = PrecomputeRigid(p,v,w); +end + +% ------------------------ LOCAL FUNCTIONS ------------------------ + +% Precomputing the weights: +function w = PrecomputeWeights(p,v,a) + +% Preparing the output buffer: +w = zeros(size(p,2),size(v,2)); + +% Iterating on handles: +for i=1:size(p,2) + % Precomputing the norms^2: + norms_2 = sum((repmat(p(:,i),[1,size(v,2)])-v).^2,1); + + % Precomputing the weights: + w(i,:) = 1./(norms_2.^a+1e-8); +end +w = w./repmat(sum(w),size(p,2),1); + +% ----------------------------------------------------------------- + +% Precomputing weighted centroids: +function Pstar = PrecomputeWCentroids(p,w) + +% Computing the centroids: +Pstar = (p*w)./repmat(sum(w,1),[size(p,1),1]); + +% ----------------------------------------------------------------- + +% Precomputing the affine deformation: +function data = PrecomputeAffine(p,v,w) + +% Computing the centroids: +Pstar = PrecomputeWCentroids(p,w); + +% Precomputing the first matrix: +M1 = v - Pstar; + +% Allocating the central matrix: +a = zeros(1,size(Pstar,2)); +b = a; +d = a; + +% Iterating on points: +Phat = cell(1,size(p,2)); +for i=1:size(p,2) + % Computing the hat points: + Phat{i} = repmat(p(:,i),[1,size(Pstar,2)])-Pstar; + + % Computing the matrix elements: + a = a + w(i,:).*Phat{i}(1,:).^2; + b = b + w(i,:).*Phat{i}(1,:).*Phat{i}(2,:); + d = d + w(i,:).*Phat{i}(2,:).^2; +end + +% Computing the determinant: +det = a.*d - b.^2; + +% Computing the inverse: +Ia = d./det; +Ib = -b./det; +Id = a./det; + +% Computing the first product elements: +F1 = [sum(M1.*[Ia;Ib],1);sum(M1.*[Ib;Id],1)]; + +% Computing the A values: +A = zeros(size(p,2),size(Pstar,2)); +for j=1:size(p,2) + % A single element: + A(j,:) = sum(F1.*Phat{j},1).*w(j,:); +end + +% The data structure: +data.A = A; + +% ----------------------------------------------------------------- + +% Precomputing the Asimilar: +function [A,R1] = PrecomputeA(Pstar,Phat,v,w) + +% Allocating: +A = cell(1,numel(Phat)); + +% Fixed part: +R1 = v - Pstar; +R2 = [R1(2,:);-R1(1,:)]; + +% Iterating on points: +for i=1:numel(Phat) + % Precomputing the blocks: + L1 = Phat{i}; + L2 = [L1(2,:);-L1(1,:)]; + + % Computing the values: + A{i}.a = w(i,:).*sum(L1.*R1,1); + A{i}.b = w(i,:).*sum(L1.*R2,1); + A{i}.c = w(i,:).*sum(L2.*R1,1); + A{i}.d = w(i,:).*sum(L2.*R2,1); +end + +% ----------------------------------------------------------------- + +% Precomputing the similar deformation: +function data = PrecomputeSimilar(p,v,w) + +% Computing the centroids: +Pstar = PrecomputeWCentroids(p,w); + +% Iterating on points: +Phat = cell(1,size(p,2)); +mu = zeros(1,size(Pstar,2)); +for i=1:size(p,2) + % Computing the hat points: + Phat{i} = repmat(p(:,i),[1,size(Pstar,2)])-Pstar; + + % Updating the values of mu: + mu = mu + w(i,:).*sum(Phat{i}.^2,1); +end + +% Computing the matrix A: +A = PrecomputeA(Pstar,Phat,v,w); + +% Premultiplying A/mu: +for i=1:numel(A) + % Managing a single matrix: + A{i}.a = A{i}.a./mu; + A{i}.b = A{i}.b./mu; + A{i}.c = A{i}.c./mu; + A{i}.d = A{i}.d./mu; +end + +% The data structure: +data.A = A; + +% ----------------------------------------------------------------- + +% Precomputing the similar deformation: +function data = PrecomputeRigid(p,v,w) + +% Computing the centroids: +Pstar = PrecomputeWCentroids(p,w); + +% Iterating on points: +Phat = cell(1,size(p,2)); +for i=1:size(p,2) + % Computing the hat points: + Phat{i} = repmat(p(:,i),[1,size(Pstar,2)])-Pstar; +end + +% Computing the matrix A and v-Pstar: +[A,v_Pstar] = PrecomputeA(Pstar,Phat,v,w); + +% The norm of v-Pstar: +normof_v_Pstar = sqrt(sum(v_Pstar.^2,1)); + +% The data structure: +data.A = A; +data.normof_v_Pstar = normof_v_Pstar; + +% ----------------------------------------------------------------- + +% Parsing of parameters: +function [p,v,type,a,w] = ParseParams(varargin) + +% Number of parameters: +if nargin<2 error('Too few parameters'); end +if nargin>5 error('Too many parameters'); end + +% Set up variables: +varnames = {'p','v','type','a','w'}; +for ind=1:nargin + eval([varnames{ind} ' = varargin{ind} ;']); +end + +% Default parameters: +if nargin<3 type='rigid'; end +if nargin<4 a=2; end +if nargin<5 w=[]; end + +% Checking the points p and v: +p = points2dnormalize(p); +v = points2dnormalize(v); + +% Checking the value of a: +a = abs(a); +if a==0 + a = 1e-8; +end + +% Check type param: +if ~strin(type,{'affine','similar','rigid'}) + error('Unknown algorithm type!'); +end diff --git a/matlab/external/gptoolbox/external/mls/MLSDeformImage.m b/matlab/external/gptoolbox/external/mls/MLSDeformImage.m new file mode 100644 index 0000000..88b9200 --- /dev/null +++ b/matlab/external/gptoolbox/external/mls/MLSDeformImage.m @@ -0,0 +1,143 @@ +function MLSDeformImage(img,p,step,type,mode,outputName) +% MLSDEFORMPOINTS Deform a set of point interactively + +% Check params: +if nargin<2 || isempty(p) + % Selecting the line case: + if nargin>=2 && size(p,1)==4 + % Getting the segment extremes: + fig=figure; imshow(img); + p=getpoints; + close(fig); + + % Cropping the last odd element: + if mod(size(p,2),2)==1 + p = p(:,1:end-1); + end + + % Mixing the coords: + p = [p(:,1:2:end);p(:,2:2:end)]; + else + % Getting the pivot points: + fig=figure; imshow(img); + p=getpoints; + close(fig); + end +end +if nargin<3 step=5; end +if nargin<4 type='rigid'; end +if nargin<5 mode='linear'; end +if nargin<6 outputName='imgo'; end + +% Generating the grid: +[X,Y] = meshgrid(1:step:size(img,2),1:step:size(img,1)); +v = [X(:)';Y(:)']; + +% Generating the mlsd: +if size(p,1)==4 + % Segments case: + mlsd = MLSD2DlinesPrecompute(p,v,type); +else + % Points case: + mlsd = MLSD2DpointsPrecompute(p,v,type); +end + +% Generate the figure: +fig = figure; +plh = imshow(img); hold on; +title(['Deformation type: ',mlsd.type,' over ',mlsd.constr]); + +% Generating the set of moving points: +handles = []; +for i=1:size(mlsd.p,2) + % Getting the api: + if size(p,1)==4 + % Segments case: + h = imline(gca,mlsd.p([1,3],i),mlsd.p([2,4],i)); + else + % Points case: + h = impoint(gca,mlsd.p(1,i),mlsd.p(2,i)); + end + handles = [handles,h]; + api = iptgetapi(h); + + % Adding the callback: + api.addNewPositionCallback(@Deform); +end + +% Adding to the figure my data: +data.mlsd = mlsd; +data.q = mlsd.p; +data.handles = handles; +data.plh = plh; +data.img = img; +data.X = X; +data.Y = Y; +data.mode = mode; +data.outputName = outputName; +set(fig,'UserData',data); + +% Adding the closing funciton: +set(fig,'CloseRequestFcn',@Closing); + +% ------------------------ LOCAL FUNCTIONS ------------------------ + +% Saving the morphed image: +function Closing(varargin) + +% Getting the current figure: +fig = varargin{1}; + +% Getting the data: +data = get(fig,'UserData'); + +% Getting the output image: +imgo = get(data.plh,'CData'); + +% Saving the image: +assignin('base', data.outputName, imgo); + +% Closing: +closereq; + +% ----------------------------------------------------------------- + +% The deformation function: +function Deform(np) + +% Getting the figure: +fig = gcf; + +% Getting the data: +data = get(fig,'UserData'); + +% Obtaining the actual positions: +if size(data.q,1)==4 + % Looking for the handler position: + h = get(gco,'Parent'); + pos = find(data.handles==h); + + % Lines case: + data.q(:,pos) = [np(1,:)';np(2,:)']; +else + % Looking for the handler position: + h = gco; + h = get(gco,'Parent'); + pos = find(data.handles==h); + hpos = arrayfun(@getPosition,data.handles,'UniformOutput',false)'; + hpos = cell2mat(hpos); + [m,ci] = min(sum((hpos - repmat(np,size(hpos,1),1)).^2,2)); + + % Points case: + data.q(:,ci) = np(:); +end + +% Deforming: +imgo = MLSD2DWarp( ... + data.img,data.mlsd,data.q,data.X,data.Y,data.mode); + +% Plotting: +set(data.plh,'CData',imgo); + +% Saving the data: +set(fig,'UserData',data); diff --git a/matlab/external/gptoolbox/external/mls/MLSDeformPoints.m b/matlab/external/gptoolbox/external/mls/MLSDeformPoints.m new file mode 100644 index 0000000..5333fc2 --- /dev/null +++ b/matlab/external/gptoolbox/external/mls/MLSDeformPoints.m @@ -0,0 +1,127 @@ +function MLSDeformPoints(v,p,type,outputName) +% MLSDEFORMPOINTS Deform a set of point interactively + +% Check params: +if nargin<2 || isempty(p) + % Selecting the line case: + if nargin>=2 && size(p,1)==4 + % Getting the segment extremes: + fig=figure; plot(v(1,:),v(2,:),'k.'); + p=getpoints; + close(fig); + + % Cropping the last odd element: + if mod(size(p,2),2)==1 + p = p(:,1:end-1); + end + + % Mixing the coords: + p = [p(:,1:2:end);p(:,2:2:end)]; + else + % Getting the pivot points: + fig=figure; plot(v(1,:),v(2,:),'k.'); + p=getpoints; + close(fig); + end +end +if nargin<3 type='rigid'; end +if nargin<4 outputName='fv'; end + +% Generating the mlsd: +if size(p,1)==4 + % Segments case: + mlsd = MLSD2DlinesPrecompute(p,v,type); +else + % Points case: + mlsd = MLSD2DpointsPrecompute(p,v,type); +end + +% Generate the figure: +fig = figure; hold on; axis equal; +plh = plot(mlsd.v(1,:),mlsd.v(2,:),'k.'); +title(['Deformation type: ',mlsd.type]); + +% Generating the set of moving points: +handles = []; +for i=1:size(mlsd.p,2) + % Getting the api: + if size(p,1)==4 + % Segments case: + h = imline(gca,mlsd.p([1,3],i),mlsd.p([2,4],i)); + else + % Points case: + h = impoint(gca,mlsd.p(1,i),mlsd.p(2,i)); + end + handles = [handles,h]; + api = iptgetapi(h); + + % Adding the callback: + api.addNewPositionCallback(@Deform); +end + +% Adding to the figure my data: +data.mlsd = mlsd; +data.q = mlsd.p; +data.handles = handles; +data.plh = plh; +data.outputName = outputName; +data.fv = v; +set(fig,'UserData',data); + +% Adding the closing funciton: +set(fig,'CloseRequestFcn',@Closing); + +% ------------------------ LOCAL FUNCTIONS ------------------------ + +% Saving the morphed image: +function Closing(varargin) + +% Getting the current figure: +fig = varargin{1}; + +% Getting the data: +data = get(fig,'UserData'); + +% Saving the image: +assignin('base', data.outputName, data.fv); + +% Closing: +closereq; + +% ----------------------------------------------------------------- + +% The deformation function: +function Deform(np) + +% Getting the figure: +fig = gcf; + +% Getting the data: +data = get(fig,'UserData'); + +% Obtaining the actual positions: +if size(data.q,1)==4 + % Looking for the handler position: + h = get(gco,'Parent'); + pos = find(data.handles==h); + + % Lines case: + data.q(:,pos) = [np(1,:)';np(2,:)']; +else + % Looking for the handler position: + h = gco; + pos = find(data.handles==h); + + % Points case: + data.q(:,pos) = np(:); +end + +% Deforming: +data.fv = MLSD2DTransform(data.mlsd,data.q); + +% Plotting: +delete(data.plh); +data.plh = plot(data.fv(1,:),data.fv(2,:),'k.'); + +% Saving the data: +set(fig,'UserData',data); diff --git a/matlab/external/gptoolbox/external/mls/deform_mls.m b/matlab/external/gptoolbox/external/mls/deform_mls.m new file mode 100644 index 0000000..a772f2c --- /dev/null +++ b/matlab/external/gptoolbox/external/mls/deform_mls.m @@ -0,0 +1,248 @@ +function deform_mls(varargin) + % DEFORM + % + % deform(V,F,C,mlsd) + % + % Deform a mesh (V,F) using linear blend skinning, by applying + % transformations at a set of control points C and propogating the + % deformation to the mesh via MLS data mlsd + % + % Inputs: + % V list of vertex positions + % F list of face indices + % C list of control point positions + % mlsd MLS data struct + % Options: + % 'Lines' followed by a #L by 2 list of indices into C for the line + % handles. Means that mlsd.p = [C(L(:,1),:) C(L(:,2),:)]' + % + warning('deform_mls is obsolete. Use deform.m, the class, instead.'); + % parse input + V = varargin{1}; + F = varargin{2}; + C = varargin{3}; + mlsd = varargin{4}; + grid = false; + + ii = 5; + while(ii <= size(varargin,2)) + if(strcmp(varargin{ii},'Lines')) + ii = ii + 1; + assert(ii<=size(varargin,2)); + L = varargin{ii}; + assert(strcmp(mlsd.constr,'lines')); + elseif(strcmp(varargin{ii},'Image')) + grid = true; + ii = ii + 1; + assert(ii<=size(varargin,2)); + im = varargin{ii}; + ii = ii + 1; + assert(ii<=size(varargin,2)); + X = varargin{ii}; + ii = ii + 1; + assert(ii<=size(varargin,2)); + Y = varargin{ii}; + grid_h = size(X,1); + grid_w = size(X,2); + %[X,Y] = meshgrid(1:grid_w,1:grid_h); + %% list of points in grid + V = [X(:) Y(:)]; + end + ii = ii+1; + end + + if(strcmp(mlsd.constr,'lines')) + assert(1 == exist('L','var')); + assert(size(L,1) == size(mlsd.p,2)); + end + + fprintf( ... + ['\nCLICK a control point to visualize its corresponding weights ' ... + 'on the mesh.\n' ... + 'DRAG a control point to deform the mesh.\n\n']); + + + %% make a new figure window + %figure + % clear current figure + clf + if(grid) + gsh = warp( ... + reshape(V(:,1),grid_h,grid_w), ... + reshape(V(:,2),grid_h,grid_w), ... + zeros(grid_h,grid_w), ... + im); + else + % plot the original mesh + tsh = trisurf(F,V(:,1),V(:,2),zeros(size(V,1),1), ... + 'FaceColor','interp'); + end + % 2D view + view(2); + axis equal + axis manual + hold on; + % plot the control points (use 3D plot and fake a depth offset by pushing + % control points up in z-direction) + C_plot = scatter3( ... + C(:,1),C(:,2),0.1+0*C(:,1), ... + 's','MarkerFaceColor','b', 'MarkerEdgeColor','b',... + 'LineWidth',2,'SizeData',100, ... + 'ButtonDownFcn',@oncontrolsdown); + hold off; + set(gca, 'visible', 'off'); + set(gcf,'Color','white'); + + % keep track of window xmin, xmax, ymin, ymax + win_min = min(V(:,1:2)); + win_max = max(V(:,1:2)); + % keep track of down position + down_pos = []; + % keep track of last two drag positions + drag_pos = []; + last_drag_pos = []; + % keep track of mesh vertices at mouse down + down_V = []; + % keep track of index of selected control point + ci = []; + % keep track of control positions at mouse down + global new_C; + new_C = []; + %% keep track of transformations stored at each control point, for 2D this is + %% a 2x3 matrix + %TR = repmat(eye(2,3),[1,1,size(C,1)]); + % keep track of translations stored at each control point, for 2D this is a m + % by 2 list of (x,y) vectors + T = zeros(size(C,1),2); + % keep track of rotations stored at each control point, for 2D this is a m + % by 1 list of angles + R = zeros(size(C,1),1); + + % type of click ('left','right') + down_type = ''; + + function oncontrolsdown(src,ev) + % get current mouse position + down_pos=get(gca,'currentpoint'); + down_pos=[down_pos(1,1,1) down_pos(1,2,1)]; + last_drag_pos=down_pos; + drag_pos=down_pos; + % keep track of control point positions at mouse down + new_C = [get(C_plot,'XData')' get(C_plot,'YData')']; + % get index of closest control point + [minD,ci] = ... + min(sum((new_C(:,1:2) - ... + repmat(down_pos,size(new_C,1),1)).^2,2)); + % set color of mesh plot to weights of selected + if(~strcmp(mlsd.constr,'lines')) + if(~grid) + set(tsh,'CData',mlsd.w(ci,:)'); + end + end + %% Set color to trinary visualization of 1-set, 0-set, and "inactive" set + %WW = 0.5+zeros(size(W(:,ci))); + %WW(abs(W(:,ci) - 1.0)<1e-1) = 1.0; + %WW(abs(W(:,ci) - 0.0)<1e-1) = 0.0; + %set(tsh,'CData',WW); + % tell window that drag and up events should be handled by controls + set(gcf,'windowbuttonmotionfcn',@oncontrolsdrag) + set(gcf,'windowbuttonupfcn',@oncontrolsup) + set(gcf,'KeyPressFcn',@onkeypress) + if(strcmp('normal',get(gcf,'SelectionType'))) + % left-click + down_type = 'left'; + else + % other (right) click + down_type = 'right'; + end + end + + function oncontrolsdrag(src,ev) + % keep last drag position + last_drag_pos=drag_pos; + % get current mouse position + drag_pos=get(gca,'currentpoint'); + drag_pos=[drag_pos(1,1,1) drag_pos(1,2,1)]; + if(strcmp('left',down_type)) + % move selected control point by drag offset + new_C(ci,:) = new_C(ci,:) + drag_pos-last_drag_pos; + % update translation part of transformation stored at selected control + T(ci,:) = T(ci,:) + (drag_pos-last_drag_pos); + else + R(ci) = R(ci) + 2*pi*(drag_pos(1)-last_drag_pos(1))/100; + end + + % update mesh positions + + %% USING LINEAR BLEND SKINNING + %TR = repmat(eye(2,3),[1,1,size(C,1)]); + %TR(1,1,:) = cos(R); + %TR(1,2,:) = -sin(R); + %TR(2,1,:) = sin(R); + %TR(2,2,:) = cos(R); + %% stack TR as one tall 2*m by 2 matrix + %RR = reshape(permute(TR(1:2,1:2,:),[2,1,3]),[2,2*size(C,1)])'; + %TR(1:2,3,:) = (T+C-stacktimes(RR,C))'; + %[new_V] = lbs(V,TR,W); + + %% USING DUAL QUATERNION SKINNING + %% convert angles around z-axis to quaternions + %Q = axisangle2quat(repmat([0,0,1],size(C,1),1),R); + %RR = zeros(size(C,1)*2,2); + %RR(1:2:end,1) = cos(R); + %RR(2:2:end,1) = sin(R); + %RR(1:2:end,2) = -sin(R); + %RR(2:2:end,2) = cos(R); + %TT = [T + C-stacktimes(RR,C) zeros(size(T,1),1)]; + %% convert quaternions and translations into dualquaternions + %DQ = quattrans2udq(Q,TT); + %new_V = dualquatlbs(V,DQ,W); + %new_V = new_V(:,1:2); + + update_positions(new_C); + end + + function update_positions(new_C) + % update display positions + set(C_plot,'XData',new_C(:,1)); + set(C_plot,'YData',new_C(:,2)); + % MLS + if(strcmp(mlsd.constr,'lines')) + new_V = MLSD2DTransform(mlsd,[new_C(L(:,1),:) new_C(L(:,2),:)]')'; + else + new_V = MLSD2DTransform(mlsd,new_C')'; + end + + + if(grid) + set(gsh,'XData',reshape(new_V(:,1),grid_h,grid_w)); + set(gsh,'YData',reshape(new_V(:,2),grid_h,grid_w)); + else + set(tsh,'Vertices',new_V); + end + end + + function oncontrolsup(src,ev) + % Tell window to handle drag and up events itself + set(gcf,'windowbuttonmotionfcn',''); + set(gcf,'windowbuttonupfcn',''); + if(grid) + X = get(gsh,'XData'); + Y = get(gsh,'YData'); + cur_V = [X(:) Y(:)]; + else + cur_V = get(tsh,'Vertices'); + end + % scale window to fit + win_min = min([win_min; cur_V]); + win_max = max([win_max; cur_V]); + axis(reshape([win_min;win_max],1,2*size(cur_V,2))) + end + + function onkeypress(src,ev) + if(strcmp(ev.Character,'r')) + update_positions(C); + end + end + +end diff --git a/matlab/external/gptoolbox/external/mls/getpoints.m b/matlab/external/gptoolbox/external/mls/getpoints.m new file mode 100644 index 0000000..b094fa2 --- /dev/null +++ b/matlab/external/gptoolbox/external/mls/getpoints.m @@ -0,0 +1,75 @@ +function P = getpoints(N,force,mark) +% GETPOINTS Allow to get from the current figure a set of N points +% +% This function allow to select a set of N points by picing them with the +% mouse on the current figure. If the parameter is omitted the number of +% points is selected from the user. +% +% Params: +% +% N = The number of points. (def=any=0) +% force = Points must be precisely N (true)? (def=true) +% mark = The marker to be used, '' for no marker. (def='ro') +% +% P = The points (as a matrix 2xN) +% +% Examples: +% +% Plot the selected points: +% >> imshow(img); hold on; plotpoints(getpoints); + +% The def params: +if nargin<1 N = 0; end +if nargin<2 force = true; end +if nargin<3 mark = 'ro'; end + +% Obtaining the points: +npts = 0; +P = []; +if N==0 + [X,Y] = getpts; + P = [X,Y]'; + npts = numel(X); +else + while (force && npts0 && size(P,2)>N + P = P(:,1:N); +end + +% ------------------------ LOCAL FUNCTIONS ------------------------ + +% Get a set of points marking the points: +function [X,Y] = GetPoints(N,mark) + +% Prepare holding +washold = ishold; +if ~washold + hold on; +end + +% The acquisition cicle: +X = zeros(N,1); +Y = zeros(N,1); +for ind=1:N + % Get a point: + [X(ind),Y(ind)] = ginput(1); + % Mark the point: + plot(X(1:ind),Y(1:ind),mark); +end + +% Correct the old hold state +if ~washold hold off; end diff --git a/matlab/external/gptoolbox/external/mls/mls_demo.m b/matlab/external/gptoolbox/external/mls/mls_demo.m new file mode 100644 index 0000000..a91705c --- /dev/null +++ b/matlab/external/gptoolbox/external/mls/mls_demo.m @@ -0,0 +1,53 @@ +demo_id = 'shape-aware' +type = 'rigid'; + +switch demo_id +case 'shape-aware' + + % input mesh source: *.obj, *.off + mesh_source = 'woody.obj'; + [V,F] = load_mesh(mesh_source); + + % display mesh + tsurf(F,V) + % User clicks many times on mesh at locations of control points + [Cx,Cy] = getpts; + % store control points in single #P by 2 list of points + C = [Cx,Cy]; + + V = V(:,1:2); + W = dijkstra_shepard(V,F,C); + mlsd = MLSD2DpointsPrecompute(C',V',type,2,W'); + deform(V,F,C,'DeformMethod','mls',mlsd,'ColorScheme','MLS'); +otherwise + [im,map,alpha] = imread('~/lbs/models/woody/woody.png'); + im = ... + im2double(im).*repmat(im2double(alpha),[1 1 size(im,3)]) + ... + 1.*repmat(1-im2double(alpha),[1 1 size(im,3)]); + + h = size(im,1); + w = size(im,2); + [X,Y] = meshgrid(1:w,1:h); + Z = zeros(h,w); + % display image + handle = imshow(im); + view(2); + axis equal + fprintf( ... + ['\nCLICK on mesh at each location where you would like to add a ' ... + 'control point.\n' ... + 'Press ENTER when finished.\n\n']); + % User clicks many times on mesh at locations of control points + [Cx,Cy] = getpts; + % store control points in single #P by 2 list of points + C = [Cx,Cy]; + + step = 10; + [X,Y] = meshgrid(1:step:size(im,2),1:step:size(im,1)); + V = [X(:), Y(:)]; + type = 'rigid'; + + mlsd = MLSD2DpointsPrecompute(C',V',type,2); + deform([],[],C,'DeformMethod','mls',mlsd,'Image',im,X,Y,'ColorScheme','MLS'); +end + diff --git a/matlab/external/gptoolbox/external/mls/plotpoints.m b/matlab/external/gptoolbox/external/mls/plotpoints.m new file mode 100644 index 0000000..88fe949 --- /dev/null +++ b/matlab/external/gptoolbox/external/mls/plotpoints.m @@ -0,0 +1,56 @@ +function plotpoints(X,symbol) +% PLOTPOINTS This function allow to plot a series of points +% +% This function allow to plot a series of points represented in omogeneous +% coordinates or euclidean ones +% +% Params: +% +% X = [x; y] or [x; y; w] coord matrix (for multiple points) +% symbol = symbol to be used in the plot +% +% Warning: +% +% This function use the hold on setting and mantain the old value unmodified +% +% Examples: +% +% Plot of a pair of points as * (points [1;1] and [2;2]) +% >> plotpoints([1 1; 2 2]','*') +% +% Plot the pair of points of the prevoius example expressed in omogeneous coords +% >> plotpoints([1 1 1; 20 20 10]'); + +% Check args: +% Check number of arguments +if nargin<1 + error('Argument required for the points plotting'); +end +if nargin<2 + symbol = '+'; +end +% Check first argument +sizeX=size(X); +if sizeX(2)==0 return; end +if sizeX(1)<2 | sizeX(1)>3 + error('X must be a n*2 or n*3 matrix'); +end + +% Check the type of plot +pX=[];pY=[]; +if sizeX(1)==2 + % Plot in euclidean coords + for i=1:sizeX(2) + pX = [pX X(1,i)]; + pY = [pY X(2,i)]; + end +else + % Plot in omogeneous coords + for i=1:sizeX(2) + pX = [pX X(1,i)/X(3,i)]; + pY = [pY X(2,i)/X(3,i)]; + end +end + +% Plotting +plot(pX,pY,symbol); diff --git a/matlab/external/gptoolbox/external/mls/plotpointsLabels.m b/matlab/external/gptoolbox/external/mls/plotpointsLabels.m new file mode 100644 index 0000000..881390f --- /dev/null +++ b/matlab/external/gptoolbox/external/mls/plotpointsLabels.m @@ -0,0 +1,73 @@ +function plotpointsLabeled(X,symbol,labels,color) +% PLOTPOINTSLABELED Plot a set of points labeling them +% +% This function allow to plot a series of points represented in omogeneous +% coordinates or euclidean ones labeling with numeric or arbitrarious text +% the points. +% +% Params: +% +% X = [x; y] or [x; y; w] coord matrix (for multiple points) +% symbol = Symbol to be used in the plot +% labels = Labels used for the points, must be a string cell of N +% strings, starting number is accepted. (def={}=numbers) +% color = The color used for the labels as [r,g,b] with range [0:1] +% for each channel. (def=[0,0,0]) +% +% Examples: +% +% Plot a set of numbered points +% >> plotpointsLabeled([1 1; 2 2]','*') + +% Check args: +% Check number of arguments +if nargin<1 + error('Argument required for the points plotting'); +end +if nargin<2 + symbol = '+'; +end +% Check first argument +sizeX=size(X); +if sizeX(2)==0 return; end +if sizeX(1)<2 | sizeX(1)>3 + error('X must be a n*2 or n*3 matrix'); +end +% Check the labels: +if nargin<3 || ~isa(labels,'cell') || numel(labels)==0 + % Init the generation: + if nargin>=3 && ~isa(labels,'cell') off=labels; + else off=1; end + labels = {}; + % Generating numerical labels: + for ind=1:sizeX(2) + labels{ind} = sprintf('%d',ind+off-1); + end +end +% The color: +if nargin<4 color=[0,0,0]; end + +% Check the type of plot +pX=[];pY=[]; +if sizeX(1)==2 + % Plot in euclidean coords + for i=1:sizeX(2) + pX = [pX X(1,i)]; + pY = [pY X(2,i)]; + end +else + % Plot in omogeneous coords + for i=1:sizeX(2) + pX = [pX X(1,i)/X(3,i)]; + pY = [pY X(2,i)/X(3,i)]; + end +end + +% Plotting +plot(pX,pY,symbol); + +% Plotting labels +for i=1:min(sizeX(2),size(labels,2)) + % Plotting a single label + text(pX(i),pY(i),labels(i),'Color',color); +end diff --git a/matlab/external/gptoolbox/external/mls/plotshape.m b/matlab/external/gptoolbox/external/mls/plotshape.m new file mode 100644 index 0000000..4ef1114 --- /dev/null +++ b/matlab/external/gptoolbox/external/mls/plotshape.m @@ -0,0 +1,59 @@ +function plotshape(X, closed, symbol) +% PLOTSHAPE This function allow to plot a single shape +% +% This function allow to plot a single shape represented in omogeneous +% coordinates or euclidean ones by a series of points +% +% Params: +% +% X = [x; y] or [x; y; w] coord matrix for shape points +% closed = boolean that indicates if the shape must be closed +% symbol = symbol to be used in the plot +% +% Examples: +% +% Plot a square +% >> plotshape([-1 -1;-1 1;1 1;1 -1]'); + +% Check args: +% Check number of arguments +if nargin<1 + error('Argument required for the points plotting'); +end +if nargin<2 + closed = true; +end +if nargin<3 + symbol = '-'; +end +% Check first argument +sizeX=size(X); +if sizeX(2)==0 return; end +if sizeX(1)<2 | sizeX(1)>3 + error('X must be a n*2 or n*3 matrix'); +end + +% Check the type of plot +pX=[];pY=[]; +if sizeX(1)==2 + % Preparing the series of points + for i=1:sizeX(2) + pX = [pX X(1,i)]; + pY = [pY X(2,i)]; + end +else + % Plot in omogeneous coords + for i=1:sizeX(2) + pX = [pX X(1,i)/X(3,i)]; + pY = [pY X(2,i)/X(3,i)]; + end +end + +% Closing +if closed + pX = [pX pX(1)]; + pY = [pY pY(1)]; +end + +% The real plot +plot(pX,pY,symbol); diff --git a/matlab/external/gptoolbox/external/mls/points2dnormalize.m b/matlab/external/gptoolbox/external/mls/points2dnormalize.m new file mode 100644 index 0000000..ce63438 --- /dev/null +++ b/matlab/external/gptoolbox/external/mls/points2dnormalize.m @@ -0,0 +1,45 @@ +function Po = points2dnormalize(Pi,mustRemove) +% POINTS2DNORMALIZE Normalize 2d points +% +% Normalize 2d points removing the last vector element. +% +% Params: +% +% Pi = Input points +% mustRemove = Must the third column be removed? (def=true) +% +% Po = Output points + +% Check args: +% Check number of arguments +if nargin<1 + error('Argument required for the points to be normalized'); +end + +% Check the removal switch +if nargin<2 + mustRemove = true; +end + +% Check the input points matrix geometry +sizePi=size(Pi); +if sizePi(2)==0 Po=Pi;return; end +if sizePi(1)<2 | sizePi(1)>3 + error('Pi must be a n*2 or n*3 matrix'); +end + +% Check for normalization: +Po = Pi; +if not(sizePi(1)==2) + % Normalization + for i=1:sizePi(2) + Po(:,i) = Po(:,i)/Po(3,i); + end +end + +% Returning +if mustRemove + Po = Po(1:2,:); +elseif sizePi(1)==2 + Po = [Pi;ones(1,size(Pi,2))]; +end diff --git a/matlab/external/gptoolbox/external/mls/strin.m b/matlab/external/gptoolbox/external/mls/strin.m new file mode 100644 index 0000000..ae8de30 --- /dev/null +++ b/matlab/external/gptoolbox/external/mls/strin.m @@ -0,0 +1,55 @@ +function contained = strin(str,strs,caseins) +% STRINI Check if a string is contained in a set +% +% This function checks if a string is contained in a set of strings (a +% cell). The returned value is a logical value. +% +% Params +% ------ +% IN: +% str = The string to be found. +% strs = The cell of strings. +% casein = Use a case insensitive search? (def=false) +% OUT: +% contained = The string str is contained in strs? +% +% Pre +% --- +% - The provided params must be all strings. +% +% Post +% ---- +% - The check i done and a correct result is returned without unhandled +% exceptions (this to underline that if the pre aren't granted exceptions +% can occour). +% +% SeeAlso +% ------- +% strcmp, strcmpi +% +% Examples +% -------- +% Check a type of command: +% >> if strin(command,{'command1','command2'},true) ... + +% Set default values +if nargin<3 caseins=false; end + +% Select the comparing function +if caseins + cmpfunc = @strcmpi; +else + cmpfunc = @strcmp; +end + +% Iterate on strings +for ind=1:numel(strs) + % Check a single string + if feval(cmpfunc,str,strs{ind}) + contained = true; + return; + end +end + +% No one apply! +contained = false; diff --git a/matlab/external/gptoolbox/external/msm_to_hb.m b/matlab/external/gptoolbox/external/msm_to_hb.m new file mode 100644 index 0000000..91e0b34 --- /dev/null +++ b/matlab/external/gptoolbox/external/msm_to_hb.m @@ -0,0 +1,444 @@ +function msm_to_hb ( output_filename, A, rhs, title, key, type, ifmt, job ) + +%*****************************************************************************80 +% +%% MSM_TO_HB writes a MATLAB Sparse Matrix to a Harwell Boeing Sparse Matrix file. +% +% Usage: +% +% For full control: +% +% msm_to_hb ( output_filename, A, rhs, 'title', 'key', 'type', ifmt, job ) +% +% or, to use defaults: +% +% msm_to_hb ( output_filename, A ) +% +% Modified: +% +% 28 April 2004 +% +% Author: +% +% Xiaoye Li, UC Berkeley. +% +% Parameters: +% +% Input, string OUTPUT_FILENAME, the name of the file to which the information +% should be written. +% +% Input, sparse matrix A, the NROW by NCOL matrix, stored in MATLAB sparse +% matrix format, which is to be written to the file. +% +% Input, real RHS(NRHS,NROW), the right-hand side array, accessed only if ( 2 < JOB). +% +% Input, string TITLE, a title of up to 72 characters. +% TITLE defaults to 'Title'. +% +% Input, string KEY, a key for the matrix, of up to 8 characters. +% KEY defaults to 'Key'. +% +% Input, string TYPE, the HB type for the matrix, of exactly 3 characters. +% TYPE defaults to 'RUA' (real, unsymmetric, assembled). +% +% Input, integer IFMT, specifies the output format of the numerical values. +% * IFMT < 100 chooses the format Dxx.yy, in which yy is precisely IFMT +% and xx is IFMT+7. +% * 100 < IFMT chooses the format Fxx.yy, in which the length of the mantissa +% yy is the integer mod(ifmt,100) and the length of the integer part is IFMT/100. +% For example: +% * IFMT = 4 means E11.4 [-]x.xxxxE+ee +% * IFMT = 104 means F7.4 [-]x.xxxx +% IFMT defaults to 8. +% +% Input, integer JOB, indicates what is to be written out. +% * 1, write structure only, the index arrays JA and IA. +% * 2, write structure and matrix, A, JA, IA +% * 3, write structure, matrix, and one right hand side: A, JA, IA, RHS. +% * K+2, write structure, matrix and K successive right-hand sides. +% JOB defaults to 2. +% + [ nrow, ncol ] = size ( A ); + nnzeros = nnz ( A ); + n = ncol; +% +% Coordinate form --> compressed column format: ja,ia,a +% + k = 0; + ja(1) = k + 1; + for j = 1 : n + [ rows, temp, vals ] = find ( A(:,j) ); + sz = size ( rows ); + for k2 = 1 : sz + k = k + 1; + ia(k) = rows(k2); + a(k) = vals(k2); + end + ja(j+1) = k + 1; + end + + fid = fopen ( output_filename, 'wt+' ); + + if ( fid < 0 ); + fprintf ( 1, '\n' ); + fprintf ( 1, 'MSM_TO_HB - Fatal error!\n' ); + fprintf ( 1, ' Cannot open the output file %s.\n', output_filename ); + error(['Can''t open file "' output_filename '" for writing.']); + end; +% +% Default format +% + if ( nargin < 4 ) + title = 'Title'; + end + + if ( nargin < 5 ) + key = 'Key'; + end + + if ( nargin < 6 ) + type = 'RUA'; + end + + if ( nargin < 7 ) + ifmt = 8; + end + + if ( nargin < 8 ) + job = 2; + end +% +% Determine the FORTRAN format for the column pointer array. +% + len = ceil ( log10 ( 0.1 + nnzeros + 1 ) ) + 1; + nperline = min ( floor ( 80 / len ), ncol+1 ); + ptr_len = len; + ptr_nperline = nperline; + ptrcrd = floor ( ncol / nperline ) + 1; + s1 = int2str ( len ); + s2 = int2str ( nperline ); + ptrfmt = [ '(' s1 'I' s2 ')' ]; +% +% Determine the FORTRAN format for the row index array. +% + nperline = min ( floor ( 80 / len ), nnzeros ); + ind_len = len; + ind_nperline = nperline; + indcrd = floor ( ( nnzeros-1 ) / nperline ) + 1; + s1 = int2str ( nperline ); + s2 = int2str ( len ); + indfmt = [ '(' s1 'I' s2 ')' ]; +% +% Determine the FORTRAN format for array and RHS values. +% + valcrd = 0; + rhscrd = 0; + c_valfmt = []; + + if ( 1 < job ) + if ( 100 <= ifmt ) + ihead = floor ( ifmt / 100 ); + ifmt = ifmt - 100 * ihead; + len = ihead + ifmt + 2; + nperline = floor ( 80 / len ); + c_len = len; + for i = 1 : nperline + c_valfmt = [ c_valfmt '%' int2str ( c_len ) '.' int2str ( ifmt ) 'f' ]; + end + valfmt = [ int2str ( nperline ) 'F' int2str ( len ) '.' int2str ( ifmt ) ]; + else + len = ifmt + 7; + nperline = floor ( 80 / len ); + c_len = len; + s1 = int2str ( c_len ); + s2 = int2str ( ifmt ); + for i = 1 : nperline + c_valfmt = [ c_valfmt '%' s1 '.' s2 'E' ]; + end + s1 = int2str ( nperline ); + s2 = int2str ( len ); + s3 = int2str ( ifmt ); + valfmt = [ s1 'E' s2 '.' s3 ]; + end + valcrd = floor ( ( nnzeros - 1 ) / nperline ) + 1; + valfmt = [ '(' valfmt ')' ]; + c_valfmt = [ c_valfmt '\n' ]; + end + + nrhs = job - 2; + if ( 1 <= nrhs ) + rhscrd = floor ( ( nrhs * nrow - 1 ) / nperline ) + 1; + end + + totcrd = ptrcrd + indcrd + valcrd + rhscrd; +% +% Write the header. +% +% Line 1. +% + t = title; + m = size ( t, 2 ); + + for i = m+1 : 72 + t = [ t ' ' ]; + end + fprintf ( fid, '%72s', t ); + t = key; + m = size ( t, 2 ); + for i = m+1 : 8 + t = [ t ' ' ]; + end + fprintf ( fid, '%8s\n', t ); +% +% Line 2 +% + fprintf ( fid, '%14d%14d%14d%14d%14d\n', totcrd, ptrcrd, indcrd, valcrd, rhscrd ); +% +% Line 3 +% + t = type; + m = size ( t, 2 ); + for i = m+1 : 14 + t = [ t ' ' ]; + end + fprintf ( fid, '%14s', t ); + fprintf ( fid, '%14i%14i%14i%14i\n', nrow, ncol, nnzeros, nrhs ); +% +% Line 4 +% + t = ptrfmt; + m = size ( t, 2 ); + for i = m+1 : 16 + t = [ t ' ' ]; + end + fprintf ( fid, '%16s', t ); + t = indfmt; + m = size ( t, 2 ); + for i = m+1 : 16 + t = [ t ' ' ]; + end + fprintf ( fid, '%16s', t ); + t = valfmt; + m = size ( t, 2 ); + for i = m+1 : 20 + t = [ t ' ' ]; + end + fprintf ( fid, '%20s', t ); + fprintf ( fid, '%20s\n', t ); +% +% Column pointers. +% + t = []; + s1 = int2str ( ptr_len ); + for j = 1 : ptr_nperline + t = [ t '%' s1 'd' ]; + end + t = [ t '\n' ]; + fprintf ( fid, t, ja(1:ncol+1) ); + if ( ptr_nperline < ncol + 1 & ... + ( ncol + 1 ) / ptr_nperline ~= floor ( ( ncol+1 ) / ptr_nperline ) ) + fprintf ( fid, '\n' ); + end +% +% Row indices. +% + t = []; + s1 = int2str ( ind_len ); + for j = 1 : ind_nperline + t = [ t '%' s1 'd' ]; + end + t = [ t '\n' ]; + fprintf ( fid, t, ia(1:nnzeros) ); + if ( ind_nperline < nnzeros & ... + nnzeros / ind_nperline ~= floor ( nnzeros / ind_nperline ) ) + fprintf ( fid, '\n' ); + end +% +% Numerical values of nonzero elements of the matrix. +% + if ( 2 <= job ) + if ( job == 2 ) + fprintf ( fid, c_valfmt, a(1:nnzeros) ); + else + fprintf ( fid, c_valfmt, a(1:nnzeros) ); + if ( nperline < nnzeros & ... + nnzeros/nperline ~= floor ( nnzeros / nperline ) ) + fprintf ( fid, '\n' ); + end + fprintf ( fid, c_valfmt, rhs(1:nrhs*nrow) ); + end + end + + fprintf ( fid, '\n' ); + + fclose ( fid ); + + return +end + +% +% GNU LESSER GENERAL PUBLIC LICENSE +% Version 3, 29 June 2007 +% +% Copyright (C) 2007 Free Software Foundation, Inc. +% Everyone is permitted to copy and distribute verbatim copies +% of this license document, but changing it is not allowed. +% +% +% This version of the GNU Lesser General Public License incorporates +% the terms and conditions of version 3 of the GNU General Public +% License, supplemented by the additional permissions listed below. +% +% 0. 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Such new +% versions will be similar in spirit to the present version, but may +% differ in detail to address new problems or concerns. +% +% Each version is given a distinguishing version number. If the +% Library as you received it specifies that a certain numbered version +% of the GNU Lesser General Public License "or any later version" +% applies to it, you have the option of following the terms and +% conditions either of that published version or of any later version +% published by the Free Software Foundation. If the Library as you +% received it does not specify a version number of the GNU Lesser +% General Public License, you may choose any version of the GNU Lesser +% General Public License ever published by the Free Software Foundation. +% +% If the Library as you received it specifies that a proxy can decide +% whether future versions of the GNU Lesser General Public License shall +% apply, that proxy's public statement of acceptance of any version is +% permanent authorization for you to choose that version for the +% Library. diff --git a/matlab/external/gptoolbox/external/myaa.m b/matlab/external/gptoolbox/external/myaa.m new file mode 100644 index 0000000..2a5d414 --- /dev/null +++ b/matlab/external/gptoolbox/external/myaa.m @@ -0,0 +1,384 @@ +function [varargout] = myaa(varargin) +%MYAA Render figure with anti-aliasing. +% MYAA +% Anti-aliased rendering of the current figure. This makes graphics look +% a lot better than in a standard matlab figure, which is useful for +% publishing results on the web or to better see the fine details in a +% complex and cluttered plot. Some simple keyboard commands allow +% the user to set the rendering quality interactively, zoom in/out and +% re-render when needed. +% +% Usage: +% myaa: Renders an anti-aliased version of the current figure. +% +% myaa(K): Sets the supersampling factor to K. Using a +% higher K yields better rendering but takes longer time. If K is +% omitted, it defaults to 4. It may be useful to run e.g. myaa(2) to +% make a low-quality rendering as a first try, because it is a lot +% faster than the default. +% +% myaa([K D]): Sets supersampling factor to K but downsamples the +% image by a factor of D. If D is larger than K, the rendered image +% will be smaller than the original. If D is smaller than K, the +% rendering will be bigger. +% +% myaa('publish'): An experimental parameter, useful for publishing +% matlab programs (see example 3). Beware, it kills the current figure. +% +% Interactivity: +% The anti-aliased figure can be updated with the following keyboard +% commands: +% +% Re-render image (to reflect changes in the figure) +% + Zoom in (decrease downsampling factor) +% - Zoom out (increase downsampling factor) +% 1 ... 9 Change supersampling and downsampling factor to ... +% q Quit, i.e. close the anti-aliased figure +% +% Myaa can also be called with up to 3 parameters. +% [FIG,RAW] = MYAA(K,AAMETHOD,FIGMODE) +% [RAW] = MYAA('raw') Alec 2012 +% +% Parameters and output: +% K Subsampling factor. If a vector is specified, [K D], then +% the second element will describe the downsampling factor. +% Default is K = 4 and D = 4. +% AAMETHOD Downsampling method. Normally this is chosen automatically. +% 'standard': convolution based filtering and downsampling +% 'imresize': downsampling using the imresize command from +% the image toolbox. +% 'noshrink': used internally +% FIGMODE Display mode +% 'figure': the normal mode, a new figure is created +% 'update': internally used for interactive sessions +% 'publish': used internally +% FIG A handle to the new anti-aliased figure +% +% RAE Raw image data (Alec 2012) +% +% +% Example 1: +% spharm2; +% myaa; +% % Press '1', '2' or '4' and try '+' and '-' +% % Press 'r' or to update the anti-aliased rendering, e.g. +% % after rotating the 3-D object in the original figure. +% +% Example 2: +% line(randn(2500,2)',randn(2500,2)','color','black','linewidth',0.01) +% myaa(8); +% +% Example 3: +% xpklein; +% myaa(2,'standard'); +% +% Example 3: +% Put the following in test.m +% %% My test publish +% % Testing to publish some anti-aliased images +% % +% spharm2; % Produce some nice graphics +% myaa('publish'); % Render an anti-aliased version +% Example 4: +% spharm2; +% imwrite(myaa('raw'),'myaa.png'); +% +% Then run: +% publish test.m; +% showdemo test; +% +% +% BUGS: +% Dotted and dashed lines in plots are not rendered correctly. This is +% probably due to a bug in Matlab and it will hopefully be fixed in a +% future version. +% The OpenGL renderer does not always manage to render an image large +% enough. Try the zbuffer renderer if you have problems or decrease the +% K factor. You can set the current renderer to zbuffer by running e.g. +% set(gcf,'renderer','zbuffer'). +% +% See also PUBLISH, PRINT +% +% Version 1.1, 2008-08-21 +% Version 1.0, 2008-08-05 +% +% Author: Anders Brun +% anders@cb.uu.se +% + +% This was adapted to produce an output image according to: +% http://www.alecjacobson.com/weblog/?p=2662#comment-9504 +% + +%% Force drawing of graphics +drawnow; + +%% Find out about the current DPI... +screen_DPI = get(0,'ScreenPixelsPerInch'); + +%% Determine the best choice of convolver. +% If IPPL is available, imfilter is much faster. Otherwise it does not +% matter too much. +try + if ippl() + myconv = @imfilter; + else + myconv = @conv2; + end +catch + myconv = @conv2; +end + +%% Set default options and interpret arguments +if isempty(varargin) + self.K = [4 4]; + try + imfilter(zeros(2,2),zeros(2,2)); + self.aamethod = 'imresize'; + catch + self.aamethod = 'standard'; + end + self.figmode = 'figure'; +elseif strcmp(varargin{1},'publish') + self.K = [4 4]; + self.aamethod = 'noshrink'; + self.figmode = 'publish'; +elseif strcmp(varargin{1},'update') + self = get(gcf,'UserData'); + figure(self.source_fig); + drawnow; + self.figmode = 'update'; +elseif strcmp(varargin{1},'lazyupdate') + self = get(gcf,'UserData'); + self.figmode = 'lazyupdate'; +elseif length(varargin) == 1 + if strcmp(varargin{1},'raw') + self.K = [4 4]; + self.figmode = 'raw'; + else + self.K = varargin{1}; + self.figmode = 'figure'; + end + if length(self.K) == 1 + self.K = [self.K self.K]; + end + if self.K(1) > 16 + error('To avoid excessive use of memory, K has been limited to max 16. Change the code to fix this on your own risk.'); + end + try + imfilter(zeros(2,2),zeros(2,2)); + self.aamethod = 'imresize'; + catch + self.aamethod = 'standard'; + end +elseif length(varargin) == 2 + self.K = varargin{1}; + self.aamethod = varargin{2}; + self.figmode = 'figure'; +elseif length(varargin) == 3 + self.K = varargin{1}; + self.aamethod = varargin{2}; + self.figmode = varargin{3}; + if strcmp(self.figmode,'publish') && ~strcmp(varargin{2},'noshrink') + printf('\nThe AAMETHOD was not set to ''noshrink'': Fixed.\n\n'); + self.aamethod = 'noshrink'; + end +else + error('Wrong syntax, run: help myaa'); +end + +if length(self.K) == 1 + self.K = [self.K self.K]; +end + +%% Capture current figure in high resolution +if ~strcmp(self.figmode,'lazyupdate'); + tempfile = 'myaa_temp_screendump.png'; + self.source_fig = gcf; + current_paperpositionmode = get(self.source_fig,'PaperPositionMode'); + current_inverthardcopy = get(self.source_fig,'InvertHardcopy'); + set(self.source_fig,'PaperPositionMode','auto'); + set(self.source_fig,'InvertHardcopy','off'); + print(self.source_fig,['-r',num2str(screen_DPI*self.K(1))], '-dpng', tempfile); + set(self.source_fig,'InvertHardcopy',current_inverthardcopy); + set(self.source_fig,'PaperPositionMode',current_paperpositionmode); + self.raw_hires = imread(tempfile); + delete(tempfile); +end +%% Start filtering to remove aliasing +w = warning; +warning off; +if strcmp(self.aamethod,'standard') || strcmp(self.aamethod,'noshrink') + % Subsample hires figure image with standard anti-aliasing using a + % butterworth filter + kk = lpfilter(self.K(2)*3,self.K(2)*0.9,2); + mm = myconv(ones(size(self.raw_hires(:,:,1))),kk,'same'); + a1 = max(min(myconv(single(self.raw_hires(:,:,1))/(256),kk,'same'),1),0)./mm; + a2 = max(min(myconv(single(self.raw_hires(:,:,2))/(256),kk,'same'),1),0)./mm; + a3 = max(min(myconv(single(self.raw_hires(:,:,3))/(256),kk,'same'),1),0)./mm; + if strcmp(self.aamethod,'standard') + if abs(1-self.K(2)) > 0.001 + raw_lowres = double(cat(3,a1(2:self.K(2):end,2:self.K(2):end),a2(2:self.K(2):end,2:self.K(2):end),a3(2:self.K(2):end,2:self.K(2):end))); + else + raw_lowres = self.raw_hires; + end + else + raw_lowres = double(cat(3,a1,a2,a3)); + end +elseif strcmp(self.aamethod,'imresize') + % This is probably the fastest method available at this moment... + raw_lowres = single(imresize(self.raw_hires,1/self.K(2),'bilinear'))/256; +end +warning(w); + +%% Place the anti-aliased image in some image on the screen ... +if strcmp(self.figmode,'figure'); + % Create a new figure at the same place as the previous + % The content of this new image is just a bitmap... + oldpos = get(gcf,'Position'); + self.myaa_figure = figure; + fig = self.myaa_figure; + set(fig,'Menubar','none'); + set(fig,'Resize','off'); + sz = size(raw_lowres); + set(fig,'Units','pixels'); + pos = [oldpos(1:2) sz(2:-1:1)]; + set(fig,'Position',pos); + ax = axes; + image(raw_lowres); + set(ax,'Units','pixels'); + set(ax,'Position',[1 1 sz(2) sz(1)]); + axis off; +elseif strcmp(self.figmode,'publish'); + % Create a new figure at the same place as the previous + % The content of this new image is just a bitmap... + self.myaa_figure = figure; + fig = self.myaa_figure; + current_units = get(self.source_fig,'Units'); + set(self.source_fig,'Units','pixels'); + pos = get(self.source_fig,'Position'); + set(self.source_fig,'Units',current_units); + set(fig,'Position',[pos(1) pos(2) pos(3) pos(4)]); + ax = axes; + image(raw_lowres); + set(ax,'Units','normalized'); + set(ax,'Position',[0 0 1 1]); + axis off; + close(self.source_fig); +elseif strcmp(self.figmode,'update'); + fig = self.myaa_figure; + figure(fig); + clf; + set(fig,'Menubar','none'); + set(fig,'Resize','off'); + sz = size(raw_lowres); + set(fig,'Units','pixels'); + pos = get(fig,'Position'); + pos(3:4) = sz(2:-1:1); + set(fig,'Position',pos); + ax = axes; + image(raw_lowres); + set(ax,'Units','pixels'); + set(ax,'Position',[1 1 sz(2) sz(1)]); + axis off; +elseif strcmp(self.figmode,'lazyupdate'); + clf; + fig = self.myaa_figure; + sz = size(raw_lowres); + pos = get(fig,'Position'); + pos(3:4) = sz(2:-1:1); + set(fig,'Position',pos); + ax = axes; + image(raw_lowres); + set(ax,'Units','pixels'); + set(ax,'Position',[1 1 sz(2) sz(1)]); + axis off; +elseif strcmp(self.figmode,'raw') + % don't create a new figure +end + +%% Store current state + +set(gcf,'userdata',self); +set(gcf,'KeyPressFcn',@keypress); +set(gcf,'Interruptible','off'); + +%% Avoid unnecessary console output +if strcmp(self.figmode,'raw') + varargout{1} = raw_lowres; +else + if nargout == 1 + varargout{1} = fig; + elseif nargout ==2 + varargout{1} = fig; + varargout{2} = raw_lowres; + end +end + +%% A simple lowpass filter kernel (Butterworth). +% sz is the size of the filter +% subsmp is the downsampling factor to be used later +% n is the degree of the butterworth filter +function kk = lpfilter(sz, subsmp, n) +sz = 2*floor(sz/2)+1; % make sure the size of the filter is odd +cut_frequency = 0.5 / subsmp; +range = (-(sz-1)/2:(sz-1)/2)/(sz-1); +[ii,jj] = ndgrid(range,range); +rr = sqrt(ii.^2+jj.^2); +kk = ifftshift(1./(1+(rr./cut_frequency).^(2*n))); +kk = fftshift(real(ifft2(kk))); +kk = kk./sum(kk(:)); + +function keypress(src,evnt) +if isempty(evnt.Character) + return +end +recognized = 0; +self = get(gcf,'userdata'); + +if evnt.Character == '+' + self.K(2) = max(self.K(2).*0.5^(1/2),1); + recognized = 1; + set(gcf,'userdata',self); + myaa('lazyupdate'); +elseif evnt.Character == '-' + self.K(2) = min(self.K(2).*2^(1/2),16); + recognized = 1; + set(gcf,'userdata',self); + myaa('lazyupdate'); +elseif evnt.Character == ' ' || evnt.Character == 'r' || evnt.Character == 'R' + set(gcf,'userdata',self); + myaa('update'); +elseif evnt.Character == 'q' + close(gcf); +elseif find('123456789' == evnt.Character) + self.K = [str2double(evnt.Character) str2double(evnt.Character)]; + set(gcf,'userdata',self); + myaa('update'); +end + + +% Copyright (c) 2009, Anders Brun +% All rights reserved. +% +% Redistribution and use in source and binary forms, with or without +% modification, are permitted provided that the following conditions are +% met: +% +% * Redistributions of source code must retain the above copyright +% notice, this list of conditions and the following disclaimer. +% * Redistributions in binary form must reproduce the above copyright +% notice, this list of conditions and the following disclaimer in +% the documentation and/or other materials provided with the distribution +% +% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +% AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +% IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +% ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE +% LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +% CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +% SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +% INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +% CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +% ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +% POSSIBILITY OF SUCH DAMAGE. diff --git a/matlab/external/gptoolbox/external/patcht.m b/matlab/external/gptoolbox/external/patcht.m new file mode 100644 index 0000000..765201a --- /dev/null +++ b/matlab/external/gptoolbox/external/patcht.m @@ -0,0 +1,174 @@ +function patcht(FF,VV,TF,VT,I,Options) +% This function PATCHT, will show a triangulated mesh like Matlab function +% Patch but then with a texture. +% +% Alec: Essentially this calls "surface" for each triangle of the triangle mesh +% with the appropriate texture coordinates +% +% patcht(FF,VV,TF,VT,I,Options); +% +% inputs, +% FF : Face list #F x 3 with vertex indices +% VV : Vertices #V x 3 +% TF : Texture list #F x 3 with texture vertex indices +% VT : Texture Coordinates s 2 x #VT, range must be [0..1] or real pixel postions +% I : The texture-image RGB [O x P x 3] or Grayscale [O x P] +% Options : Structure with options for the textured patch such as +% EdgeColor, EdgeAlpha see help "Surface Properties :: Functions" +% +% Options.PSize : Special option, defines the image texturesize for each +% individual polygon, a low number gives a more block +% like texture, defaults to 64; +% +% note: +% On a normal PC displaying 10,000 faces will take about 6 sec. +% +% Example, +% +% % Load Data; +% load testdata; +% % Show the textured patch +% figure, patcht(FF,VV,TF,VT,I); +% % Allow Camera Control (with left, right and center mouse button) +% mouse3d +% +% % file containing image +% image_source = 'woody.png'; +% % load image with alpha mask +% [im,map,alpha] = imread(image_source); +% % mesh based on alpha values with approximately 100 boundary vertices +% [V,F] = png2mesh(image_source,0,100); +% % treat alpha as white in display +% im = over(im,alpha,ones(size(im)),1); +% % dummy display white image the same size as input image +% imshow(ones([max(V(:,2))-min(V(:,2)) max(V(:,1))-min(V(:,1))])); +% % display original mesh +% % reverse y-direction so mesh display is upright (we're displaying the mesh +% % ontop of the imshow() display to get pixel perfect images) +% patcht(F,[V(:,1) size(im,1)-V(:,2)],F,V,permute(flipdim(im,1),[2 1 3])); +% % create some trivial deformation +% new_V = [V(:,1) 2*V(:,2)]; +% figure; +% % dummy display white image the same size as input image +% imshow(ones([max(new_V(:,2))-min(new_V(:,2)) max(new_V(:,1))-min(new_V(:,1))])); +% % display deformed mesh +% patcht(F,[new_V(:,1) max(new_V(:,2)+0.5)-new_V(:,2)],F,V,permute(flipdim(im,1),[2 1 3])); +% +% Function is written by D.Kroon University of Twente (July 2010) + +% FaceColor is a texture +Options.FaceColor='texturemap'; +% noe edges +Options.EdgeColor='none'; + +% Size of texture image used for every triangle +if(isfield(Options,'PSize')) + sizep=round(Options.PSize(1)); + Options=rmfield(Options,'PSize'); +else + sizep=64; +end + +% Check input sizes +if(size(FF,2)~=size(TF,2)) + error('patcht:inputs','Face list must be equal in size to texture-index list'); +end + +if((ndims(I)~=2)&&(ndims(I)~=3)) + error('patcht:inputs','No valid Input texture image'); +end + +% Detect if grayscale or color image +switch(size(I,3)) + case 1 + iscolor=false; + case 3 + iscolor=true; + otherwise + error('patcht:inputs','No valid Input texture image'); +end + + +if(max(VT(:))<2) + % Remap texture coordinates to image coordinates + VT2(:,1)=(size(I,1)-1)*(VT(:,1))+1; + VT2(:,2)=(size(I,2)-1)*(VT(:,2))+1; +else + VT2=VT; +end + +% Calculate the texture interpolation values +[lambda1 lambda2 lambda3 jind]=calculateBarycentricInterpolationValues(sizep); + +% Split texture-image in r,g,b to allow fast 1D index +Ir=I(:,:,1); if(iscolor), Ig=I(:,:,2); Ib=I(:,:,3); end + +% The Patch used for every triangle (rgb) +Jr=zeros([(sizep+1) (sizep+1) 1],class(I)); +if(iscolor) + Jg=zeros([(sizep+1) (sizep+1) 1],class(I)); + Jb=zeros([(sizep+1) (sizep+1) 1],class(I)); +end + +% if no z coordinates are given then use 0s +if size(VV,2) < 3 + VV = [VV zeros(size(VV,1),1)]; +end + +hold on; +% Loop through all triangles of the mesh +for i=1:size(FF,1) + % Get current triangle vertices and current texture-vertices + V=VV(FF(i,:),:); + Vt=VT2(TF(i,:),:); + + % Define the triangle as a surface + x=[V(1,1) V(2,1); V(3,1) V(3,1)]; + y=[V(1,2) V(2,2); V(3,2) V(3,2)]; + z=[V(1,3) V(2,3); V(3,3) V(3,3)]; + + % Define the texture coordinates of the surface + tx=[Vt(1,1) Vt(2,1) Vt(3,1) Vt(3,1)]; + ty=[Vt(1,2) Vt(2,2) Vt(3,2) Vt(3,2)] ; + xy=[tx(1) ty(1); tx(2) ty(2); tx(3) ty(3); tx(3) ty(3)]; + + % Calculate texture interpolation coordinates + pos(:,1)=xy(1,1)*lambda1+xy(2,1)*lambda2+xy(3,1)*lambda3; + pos(:,2)=xy(1,2)*lambda1+xy(2,2)*lambda2+xy(3,2)*lambda3; + pos=round(pos); pos=max(pos,1); pos(:,1)=min(pos(:,1),size(I,1)); pos(:,2)=min(pos(:,2),size(I,2)); + posind=(pos(:,1)-1)+(pos(:,2)-1)*size(I,1)+1; + + % Map texture to surface image + Jr(jind)=Ir(posind); + J(:,:,1)=Jr; + if(iscolor) + Jg(jind)=Ig(posind); + Jb(jind)=Ib(posind); + J(:,:,2)=Jg; + J(:,:,3)=Jb; + end + + % Show the surface + surface(x,y,z,J,Options) +end +hold off; + +function [lambda1 lambda2 lambda3 jind]=calculateBarycentricInterpolationValues(sizep) +% Define a triangle in the upperpart of an square, because only that +% part is used by the surface function +x1=sizep; y1=sizep; x2=sizep; y2=0; x3=0 ;y3=0; +% Calculate the bary centric coordinates (instead of creating a 2D image +% with the interpolation values, we map them directly to an 1D vector) +detT = (x1-x3)*(y2-y3) - (x2-x3)*(y1-y3); +[x,y]=ndgrid(0:sizep,0:sizep); x=x(:); y=y(:); +lambda1=((y2-y3).*(x-x3)+(x3-x2).*(y-y3))/detT; +lambda2=((y3-y1).*(x-x3)+(x1-x3).*(y-y3))/detT; +lambda3=1-lambda1-lambda2; +% Make from 2D (surface)image indices 1D image indices +[jx jy]=ndgrid(sizep-(0:sizep)+1,sizep-(0:sizep)+1); +jind=(jx(:)-1)+(jy(:)-1)*(sizep+1)+1; + + + + + diff --git a/matlab/external/gptoolbox/external/preserve_history.m b/matlab/external/gptoolbox/external/preserve_history.m new file mode 100644 index 0000000..f459098 --- /dev/null +++ b/matlab/external/gptoolbox/external/preserve_history.m @@ -0,0 +1,66 @@ +% JS - 11/01/2005 +% Maintains command history indefinitely in file "history_saved.m" +% +% This is handy because Matlab limits the history file to 20k in size, so +% throws away old commands (which are invariably the ones you want to recall). +% To automate history preservation call this script from "startup.m" or +% "finish.m" + +% find last date matlab was opened in 'preserved' history file +[fid, err] = fopen(fullfile(prefdir,'history_saved.m'), 'r'); + +i=0; +while ~feof(fid) + i=i+1; + line = fgetl(fid); + if regexp(line,'%-- ') == 1 + date_line = line; + date_line_pos = ftell(fid); + end +end + +%date_line; +fclose(fid); + +% match last date from 'preserved' file to a line in current 'history.m' file, then append new lines in 'history.m' to 'preserved' file +[fid, err] = fopen(fullfile(prefdir,'history.m'), 'r'); + +found = 0; +i=0; +while ~feof(fid) + i=i+1; + line = fgetl(fid); + whole_file{i,:} = line; + if regexp(line,date_line) == 1 + alpha = 1; + while ~feof(fid) + found = 1; + line = fgetl(fid); + append{alpha,:} = line; + alpha = alpha + 1; + end + end +end + +fclose(fid); + +if found == 1 % add commands in 'append' to end of saved + [fid, err] = fopen(fullfile(prefdir,'history_saved.m'), 'r'); + + fseek(fid,date_line_pos,'bof'); % move to last recognised date in saved file + for i=1:length(append) + fprintf(fid, '%s\r\n', append{i}); + end + + fclose(fid); + + % elseif found == 0 % add ALL commands from current to end of saved + % fseek(fid,0,'eof'); % move to end of file + % for i=1:length(whole_file) + % fprintf(fid, '%s\r\n', whole_file{i}); + % end + % +end + + +disp('History Preserved'); diff --git a/matlab/external/gptoolbox/external/progressbar.m b/matlab/external/gptoolbox/external/progressbar.m new file mode 100644 index 0000000..03ccc7a --- /dev/null +++ b/matlab/external/gptoolbox/external/progressbar.m @@ -0,0 +1,74 @@ +function progressbar(n,N,w) +% PROGRESSBAR - display a progress bar +% +% progressbar(n,N,w); +% +% Deletes the current line and displays the progress of n out of N. +% Inputs: +% n partial amount, should start at 1. +% N total amount +% w is the width of the bar (default w=20). +% +% TODO: should start at 0 +% +% See also: waitbar +% error + +if nargin<3 + w = 20; +end + +% progress char +cprog = '.'; +cprog1 = '*'; +% begining char +cbeg = '['; +% ending char +cend = ']'; + +p = min( floor(n/N*(w+1)), w); + +global pprev; +if isempty(pprev) + pprev = -1; +end + +if not(p==pprev) + ps = repmat(cprog, [1 w]); + ps(1:p) = cprog1; + ps = [cbeg ps cend]; + if n>1 + % clear previous string + fprintf( repmat('\b', [1 length(ps)]) ); + end + fprintf(ps); +end +pprev = p; +if n==N + fprintf('\n'); +end + +% Copyright (c) 2009, Gabriel Peyre +% All rights reserved. +% +% Redistribution and use in source and binary forms, with or without +% modification, are permitted provided that the following conditions are +% met: +% +% * Redistributions of source code must retain the above copyright +% notice, this list of conditions and the following disclaimer. +% * Redistributions in binary form must reproduce the above copyright +% notice, this list of conditions and the following disclaimer in +% the documentation and/or other materials provided with the distribution +% +% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +% AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +% IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +% ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE +% LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +% CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +% SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +% INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +% CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +% ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +% POSSIBILITY OF SUCH DAMAGE. diff --git a/matlab/external/gptoolbox/external/read_ply.m b/matlab/external/gptoolbox/external/read_ply.m new file mode 100644 index 0000000..6e3c9c8 --- /dev/null +++ b/matlab/external/gptoolbox/external/read_ply.m @@ -0,0 +1,495 @@ +function [vertex,face] = read_ply(filename) + +% read_ply - read data from PLY file. +% +% [vertex,face] = read_ply(filename); +% +% 'vertex' is a 'nb.vert x 3' array specifying the position of the vertices. +% 'face' is a 'nb.face x 3' array specifying the connectivity of the mesh. +% +% +% Copyright (c) 2003 Gabriel Peyr? + +[d,c] = plyread(filename); +vi = d.face.vertex_indices; +nf = length(vi); +% http://stackoverflow.com/a/6210539/148668 +% This is slow... +%lengths = cellfun(@(x)numel(x),vi); +lengths = cellfun('length',vi); +maxLength=max(lengths); +if all(maxLength == lengths) + face = cell2mat(vi)+1; +else + face = cell2mat( ... + cellfun( ... + @(x)cat(2,x,-ones(1,maxLength-length(x))), ... + vi, ... + 'UniformOutput',false))+1; +end +vertex = [d.vertex.x, d.vertex.y, d.vertex.z]; + + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function [Elements,varargout] = plyread(Path,Str) +%PLYREAD Read a PLY 3D data file. +% [DATA,COMMENTS] = PLYREAD(FILENAME) reads a version 1.0 PLY file +% FILENAME and returns a structure DATA. The fields in this structure +% are defined by the PLY header; each element type is a field and each +% element property is a subfield. If the file contains any comments, +% they are returned in a cell string array COMMENTS. +% +% [TRI,PTS] = PLYREAD(FILENAME,'tri') or +% [TRI,PTS,DATA,COMMENTS] = PLYREAD(FILENAME,'tri') converts vertex +% and face data into triangular connectivity and vertex arrays. The +% mesh can then be displayed using the TRISURF command. +% +% Note: This function is slow for large mesh files (+50K faces), +% especially when reading data with list type properties. +% +% Example: +% [Tri,Pts] = PLYREAD('cow.ply','tri'); +% trisurf(Tri,Pts(:,1),Pts(:,2),Pts(:,3)); +% colormap(gray); axis equal; +% +% See also: PLYWRITE + +% Pascal Getreuer 2004 + +[fid,Msg] = fopen(Path,'rt'); % open file in read text mode + +if fid == -1, error(Msg); end + +Buf = fscanf(fid,'%s',1); +if ~strcmp(Buf,'ply') + fclose(fid); + error('Not a PLY file.'); +end + + +%%% read header %%% + +Position = ftell(fid); +Format = ''; +NumComments = 0; +Comments = {}; % for storing any file comments +NumElements = 0; +NumProperties = 0; +Elements = []; % structure for holding the element data +ElementCount = []; % number of each type of element in file +PropertyTypes = []; % corresponding structure recording property types +ElementNames = {}; % list of element names in the order they are stored in the file +PropertyNames = []; % structure of lists of property names + +while 1 + Buf = fgetl(fid); % read one line from file + BufRem = Buf; + Token = {}; + Count = 0; + + while ~isempty(BufRem) % split line into tokens + [tmp,BufRem] = strtok(BufRem); + + if ~isempty(tmp) + Count = Count + 1; % count tokens + Token{Count} = tmp; + end + end + + if Count % parse line + switch lower(Token{1}) + case 'format' % read data format + if Count >= 2 + Format = lower(Token{2}); + + if Count == 3 & ~strcmp(Token{3},'1.0') + fclose(fid); + error('Only PLY format version 1.0 supported.'); + end + end + case 'comment' % read file comment + NumComments = NumComments + 1; + Comments{NumComments} = ''; + for i = 2:Count + Comments{NumComments} = [Comments{NumComments},Token{i},' ']; + end + case 'element' % element name + if Count >= 3 + if isfield(Elements,Token{2}) + fclose(fid); + error(['Duplicate element name, ''',Token{2},'''.']); + end + + NumElements = NumElements + 1; + NumProperties = 0; + Elements = setfield(Elements,Token{2},[]); + PropertyTypes = setfield(PropertyTypes,Token{2},[]); + ElementNames{NumElements} = Token{2}; + PropertyNames = setfield(PropertyNames,Token{2},{}); + CurElement = Token{2}; + ElementCount(NumElements) = str2double(Token{3}); + + if isnan(ElementCount(NumElements)) + fclose(fid); + error(['Bad element definition: ',Buf]); + end + else + error(['Bad element definition: ',Buf]); + end + case 'property' % element property + if ~isempty(CurElement) & Count >= 3 + NumProperties = NumProperties + 1; + eval(['tmp=isfield(Elements.',CurElement,',Token{Count});'],... + 'fclose(fid);error([''Error reading property: '',Buf])'); + + if tmp + error(['Duplicate property name, ''',CurElement,'.',Token{2},'''.']); + end + + % add property subfield to Elements + eval(['Elements.',CurElement,'.',Token{Count},'=[];'], ... + 'fclose(fid);error([''Error reading property: '',Buf])'); + % add property subfield to PropertyTypes and save type + eval(['PropertyTypes.',CurElement,'.',Token{Count},'={Token{2:Count-1}};'], ... + 'fclose(fid);error([''Error reading property: '',Buf])'); + % record property name order + eval(['PropertyNames.',CurElement,'{NumProperties}=Token{Count};'], ... + 'fclose(fid);error([''Error reading property: '',Buf])'); + else + fclose(fid); + + if isempty(CurElement) + error(['Property definition without element definition: ',Buf]); + else + error(['Bad property definition: ',Buf]); + end + end + case 'end_header' % end of header, break from while loop + break; + end + end +end + +%%% set reading for specified data format %%% + +if isempty(Format) + warning('Data format unspecified, assuming ASCII.'); + Format = 'ascii'; +end + +switch Format +case 'ascii' + Format = 0; +case 'binary_little_endian' + Format = 1; +case 'binary_big_endian' + Format = 2; +otherwise + fclose(fid); + error(['Data format ''',Format,''' not supported.']); +end + +if ~Format + Buf = fscanf(fid,'%f'); % read the rest of the file as ASCII data + BufOff = 1; +else + % reopen the file in read binary mode + fclose(fid); + + if Format == 1 + fid = fopen(Path,'r','ieee-le.l64'); % little endian + else + fid = fopen(Path,'r','ieee-be.l64'); % big endian + end + + % find the end of the header again (using ftell on the old handle doesn't give the correct position) + BufSize = 8192; + Buf = [blanks(10),char(fread(fid,BufSize,'uchar')')]; + i = []; + tmp = -11; + + while isempty(i) + i = findstr(Buf,['end_header',13,10]); % look for end_header + CR/LF + i = [i,findstr(Buf,['end_header',10])]; % look for end_header + LF + + if isempty(i) + tmp = tmp + BufSize; + Buf = [Buf(BufSize+1:BufSize+10),char(fread(fid,BufSize,'uchar')')]; + end + end + + % seek to just after the line feed + fseek(fid,i + tmp + 11 + (Buf(i + 10) == 13),-1); +end + + +%%% read element data %%% + +% PLY and MATLAB data types (for fread) +PlyTypeNames = {'char','uchar','short','ushort','int','uint','float','double', ... + 'char8','uchar8','short16','ushort16','int32','uint32','float32','double64'}; +MatlabTypeNames = {'schar','uchar','int16','uint16','int32','uint32','single','double'}; +SizeOf = [1,1,2,2,4,4,4,8]; % size in bytes of each type + +for i = 1:NumElements + % get current element property information + eval(['CurPropertyNames=PropertyNames.',ElementNames{i},';']); + eval(['CurPropertyTypes=PropertyTypes.',ElementNames{i},';']); + NumProperties = size(CurPropertyNames,2); + +% fprintf('Reading %s...\n',ElementNames{i}); + + if ~Format %%% read ASCII data %%% + for j = 1:NumProperties + Token = getfield(CurPropertyTypes,CurPropertyNames{j}); + + if strcmpi(Token{1},'list') + Type(j) = 1; + else + Type(j) = 0; + end + end + + % parse buffer + if ~any(Type) + % no list types + Data = reshape(Buf(BufOff:BufOff+ElementCount(i)*NumProperties-1),NumProperties,ElementCount(i))'; + BufOff = BufOff + ElementCount(i)*NumProperties; + else + ListData = cell(NumProperties,1); + + for k = 1:NumProperties + ListData{k} = cell(ElementCount(i),1); + end + + % list type + for j = 1:ElementCount(i) + for k = 1:NumProperties + if ~Type(k) + Data(j,k) = Buf(BufOff); + BufOff = BufOff + 1; + else + tmp = Buf(BufOff); + ListData{k}{j} = Buf(BufOff+(1:tmp))'; + BufOff = BufOff + tmp + 1; + end + end + end + end + else %%% read binary data %%% + % translate PLY data type names to MATLAB data type names + ListFlag = 0; % = 1 if there is a list type + SameFlag = 1; % = 1 if all types are the same + + for j = 1:NumProperties + Token = getfield(CurPropertyTypes,CurPropertyNames{j}); + + if ~strcmp(Token{1},'list') % non-list type + tmp = rem(strmatch(Token{1},PlyTypeNames,'exact')-1,8)+1; + + if ~isempty(tmp) + TypeSize(j) = SizeOf(tmp); + Type{j} = MatlabTypeNames{tmp}; + TypeSize2(j) = 0; + Type2{j} = ''; + + SameFlag = SameFlag & strcmp(Type{1},Type{j}); + else + fclose(fid); + error(['Unknown property data type, ''',Token{1},''', in ', ... + ElementNames{i},'.',CurPropertyNames{j},'.']); + end + else % list type + if length(Token) == 3 + ListFlag = 1; + SameFlag = 0; + tmp = rem(strmatch(Token{2},PlyTypeNames,'exact')-1,8)+1; + tmp2 = rem(strmatch(Token{3},PlyTypeNames,'exact')-1,8)+1; + + if ~isempty(tmp) & ~isempty(tmp2) + TypeSize(j) = SizeOf(tmp); + Type{j} = MatlabTypeNames{tmp}; + TypeSize2(j) = SizeOf(tmp2); + Type2{j} = MatlabTypeNames{tmp2}; + else + fclose(fid); + error(['Unknown property data type, ''list ',Token{2},' ',Token{3},''', in ', ... + ElementNames{i},'.',CurPropertyNames{j},'.']); + end + else + fclose(fid); + error(['Invalid list syntax in ',ElementNames{i},'.',CurPropertyNames{j},'.']); + end + end + end + + % read file + if ~ListFlag + if SameFlag + % no list types, all the same type (fast) + Data = fread(fid,[NumProperties,ElementCount(i)],Type{1})'; + else + % no list types, mixed type + Data = zeros(ElementCount(i),NumProperties); + + for j = 1:ElementCount(i) + for k = 1:NumProperties + Data(j,k) = fread(fid,1,Type{k}); + end + end + end + else + ListData = cell(NumProperties,1); + + for k = 1:NumProperties + ListData{k} = cell(ElementCount(i),1); + end + + if NumProperties == 1 + BufSize = 512; + SkipNum = 4; + j = 0; + + % list type, one property (fast if lists are usually the same length) + while j < ElementCount(i) + Position = ftell(fid); + % read in BufSize count values, assuming all counts = SkipNum + [Buf,BufSize] = fread(fid,BufSize,Type{1},SkipNum*TypeSize2(1)); + Miss = find(Buf ~= SkipNum); % find first count that is not SkipNum + fseek(fid,Position + TypeSize(1),-1); % seek back to after first count + + if isempty(Miss) % all counts are SkipNum + Buf = fread(fid,[SkipNum,BufSize],[int2str(SkipNum),'*',Type2{1}],TypeSize(1))'; + fseek(fid,-TypeSize(1),0); % undo last skip + + for k = 1:BufSize + ListData{1}{j+k} = Buf(k,:); + end + + j = j + BufSize; + BufSize = floor(1.5*BufSize); + else + if Miss(1) > 1 % some counts are SkipNum + [Buf2,cc] = fread(fid,[SkipNum,Miss(1)-1],[int2str(SkipNum),'*',Type2{1}],TypeSize(1)); + Buf2 = Buf2'; + + for k = 1:Miss(1)-1 + ListData{1}{j+k} = Buf2(k,:); + end + + j = j + k; + end + % Alec: check if done and rewind one step + if j >= ElementCount(i) + fseek(fid,-1,0); + break; + end + + % read in the list with the missed count + SkipNum = Buf(Miss(1)); + j = j + 1; + ListData{1}{j} = fread(fid,[1,SkipNum],Type2{1}); + BufSize = ceil(0.6*BufSize); + end + end + else + % list type(s), multiple properties (slow) + Data = zeros(ElementCount(i),NumProperties); + + for j = 1:ElementCount(i) + for k = 1:NumProperties + if isempty(Type2{k}) + Data(j,k) = fread(fid,1,Type{k}); + else + tmp = fread(fid,1,Type{k}); + ListData{k}{j} = fread(fid,[1,tmp],Type2{k}); + end + end + end + end + end + end + + % put data into Elements structure + for k = 1:NumProperties + if (~Format & ~Type(k)) | (Format & isempty(Type2{k})) + eval(['Elements.',ElementNames{i},'.',CurPropertyNames{k},'=Data(:,k);']); + else + eval(['Elements.',ElementNames{i},'.',CurPropertyNames{k},'=ListData{k};']); + end + end +end + +clear Data ListData; +fclose(fid); + +if (nargin > 1 & strcmpi(Str,'Tri')) | nargout > 2 + % find vertex element field + Name = {'vertex','Vertex','point','Point','pts','Pts'}; + Names = []; + + for i = 1:length(Name) + if any(strcmp(ElementNames,Name{i})) + Names = getfield(PropertyNames,Name{i}); + Name = Name{i}; + break; + end + end + + if any(strcmp(Names,'x')) & any(strcmp(Names,'y')) & any(strcmp(Names,'z')) + eval(['varargout{1}=[Elements.',Name,'.x,Elements.',Name,'.y,Elements.',Name,'.z];']); + else + varargout{1} = zeros(1,3); + end + + varargout{2} = Elements; + varargout{3} = Comments; + Elements = []; + + % find face element field + Name = {'face','Face','poly','Poly','tri','Tri'}; + Names = []; + + for i = 1:length(Name) + if any(strcmp(ElementNames,Name{i})) + Names = getfield(PropertyNames,Name{i}); + Name = Name{i}; + break; + end + end + + if ~isempty(Names) + % find vertex indices property subfield + PropertyName = {'vertex_indices','vertex_indexes','vertex_index','indices','indexes'}; + + for i = 1:length(PropertyName) + if any(strcmp(Names,PropertyName{i})) + PropertyName = PropertyName{i}; + break; + end + end + + if ~iscell(PropertyName) + % convert face index lists to triangular connectivity + eval(['FaceIndices=varargout{2}.',Name,'.',PropertyName,';']); + N = length(FaceIndices); + Elements = zeros(N*2,3); + Extra = 0; + + for k = 1:N + Elements(k,:) = FaceIndices{k}(1:3); + + for j = 4:length(FaceIndices{k}) + Extra = Extra + 1; + Elements(N + Extra,:) = [Elements(k,[1,j-1]),FaceIndices{k}(j)]; + end + end + Elements = Elements(1:N+Extra,:) + 1; + end + end +else + varargout{1} = Comments; +end diff --git a/matlab/external/gptoolbox/external/rgb2cmyk.m b/matlab/external/gptoolbox/external/rgb2cmyk.m new file mode 100644 index 0000000..8e3f7fb --- /dev/null +++ b/matlab/external/gptoolbox/external/rgb2cmyk.m @@ -0,0 +1,4 @@ +function cmyk = rgb2cmyk(rgb) + cmyk = applycform(rgb,makecform('srgb2cmyk')); +end + diff --git a/matlab/external/gptoolbox/external/saveTightFigure.m b/matlab/external/gptoolbox/external/saveTightFigure.m new file mode 100644 index 0000000..8de8d50 --- /dev/null +++ b/matlab/external/gptoolbox/external/saveTightFigure.m @@ -0,0 +1,50 @@ +function saveTightFigure(h,outfilename) +% SAVETIGHTFIGURE(H,OUTFILENAME) Saves figure H in file OUTFILENAME without +% the white space around it. +% +% by ``a grad student" +% http://tipstrickshowtos.blogspot.com/2010/08/how-to-get-rid-of-white-margin-in.html + +% get the current axes +ax = get(h, 'CurrentAxes'); + +% make it tight +ti = get(ax,'TightInset'); +set(ax,'Position',[ti(1) ti(2) 1-ti(3)-ti(1) 1-ti(4)-ti(2)]); + +% adjust the papersize +set(ax,'units','centimeters'); +pos = get(ax,'Position'); +ti = get(ax,'TightInset'); +set(h, 'PaperUnits','centimeters'); +set(h, 'PaperSize', [pos(3)+ti(1)+ti(3) pos(4)+ti(2)+ti(4)]); +set(h, 'PaperPositionMode', 'manual'); +set(h, 'PaperPosition',[0 0 pos(3)+ti(1)+ti(3) pos(4)+ti(2)+ti(4)]); + +% save it +saveas(h,outfilename); + +% Copyright (c) 2011, Emre Akbas +% All rights reserved. +% +% Redistribution and use in source and binary forms, with or without +% modification, are permitted provided that the following conditions are +% met: +% +% * Redistributions of source code must retain the above copyright +% notice, this list of conditions and the following disclaimer. +% * Redistributions in binary form must reproduce the above copyright +% notice, this list of conditions and the following disclaimer in +% the documentation and/or other materials provided with the distribution +% +% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +% AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +% IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +% ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE +% LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +% CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +% SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +% INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +% CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +% ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +% POSSIBILITY OF SUCH DAMAGE. diff --git a/matlab/external/gptoolbox/external/spnull.m b/matlab/external/gptoolbox/external/spnull.m new file mode 100644 index 0000000..2d793f1 --- /dev/null +++ b/matlab/external/gptoolbox/external/spnull.m @@ -0,0 +1,20 @@ +function N = sparseNull(S, tol) + % spnull returns computes the sparse Null basis of a matrix + % + % N = sparseNull(S, tol) + % + % Computes a basis of the null space for a sparse matrix. For sparse + % matrixes this is much faster than using null. It does however have lower + % numerical accuracy. N is itself sparse and not orthonormal. So in this + % way it is like using N = null(S, 'r'), except of course much faster. + % + % Jan Schellenberger 10/20/2009 + % based on this: + % http://www.mathworks.com/matlabcentral/fileexchange/11120-null-space-of-a-sparse-matrix + if nargin <2 + tol = 1e-9; + end + [SpLeft, SpRight] = spspaces(S,2, tol); + N = SpRight{1}(:,SpRight{3}); + N(abs(N) < tol) = 0; +end diff --git a/matlab/external/gptoolbox/external/spspaces.m b/matlab/external/gptoolbox/external/spspaces.m new file mode 100644 index 0000000..8566d59 --- /dev/null +++ b/matlab/external/gptoolbox/external/spspaces.m @@ -0,0 +1,106 @@ +function [SpLeft, SpRight] = spspaces(A,opt,tol) +% PURPOSE: finds left and right null and range space of a sparse matrix A +% +% --------------------------------------------------- +% USAGE: [SpLeft, SpRight] = spspaces(A,opt,tol) +% +% INPUT: +% A a sparse matrix +% opt spaces to calculate +% = 1: left null and range space +% = 2: right null and range space +% = 3: both left and right spaces +% tol uses the tolerance tol when calculating +% null subspaces (optional) +% +% OUTPUT: +% SpLeft 1x4 cell. SpLeft = {} if opt =2. +% SpLeft{1} an invertible matrix Q +% SpLeft{2} indices, I, of rows of the matrix Q that +% span the left range of the matrix A +% SpLeft{3} indices, J, of rows of the matrix Q that +% span the left null space of the matrix A +% Q(J,:)A = 0 +% SpLeft{4} inverse of the matrix Q +% SpRight 1x4 cell. SpRight = {} if opt =1. +% SpLeft{1} an invertible matrix Q +% SpLeft{2} indices, I, of rows of the matrix Q that +% span the right range of the matrix A +% SpLeft{3} indices, J, of rows of the matrix Q that +% span the right null space of the matrix A +% AQ(:,J) = 0 +% SpLeft{4} inverse of the matrix Q +% +% COMMENTS: +% uses luq routine, that finds matrices L, U, Q such that +% +% A = L | U 0 | Q +% | 0 0 | +% +% where L, Q, U are invertible matrices, U is upper triangular. This +% decomposition is calculated using lu decomposition. +% +% This routine is fast, but can deliver inaccurate null and range +% spaces if zero and nonzero singular values of the matrix A are not +% well separated. +% +% WARNING: +% right null and rang space may be very inaccurate +% +% Copyright (c) Pawel Kowal (2006) +% All rights reserved +% LREM_SOLVE toolbox is available free for noncommercial academic use only. +% pkowal3@sgh.waw.pl + +if nargin<3 + tol = max(max(size(A)) * norm(A,1) * eps,100*eps); +end + +switch opt + case 1 + calc_left = 1; + calc_right = 0; + case 2 + calc_left = 0; + calc_right = 1; + case 3 + calc_left = 1; + calc_right = 1; +end + +[L,U,Q] = luq(A,0,tol); + +if calc_left + if ~isempty(L) + LL = L^-1; + else + LL = L; + end + S = max(abs(U),[],2); + I = find(S>tol); + if ~isempty(S) + J = find(S<=tol); + else + J = (1:size(S,1))'; + end + SpLeft = {LL,I,J,L}; +else + SpLeft = {}; +end +if calc_right + if ~isempty(Q) + QQ = Q^-1; + else + QQ = Q; + end + S = max(abs(U),[],1); + I = find(S>tol); + if ~isempty(S) + J = find(S<=tol); + else + J = (1:size(S,2))'; + end + SpRight = {QQ,I,J,Q}; +else + SpRight = {}; +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/ssim.m b/matlab/external/gptoolbox/external/ssim.m new file mode 100644 index 0000000..c40c0af --- /dev/null +++ b/matlab/external/gptoolbox/external/ssim.m @@ -0,0 +1,231 @@ +function [mssim, ssim_map] = ssim(img1, img2, K, window, L) + +% ======================================================================== +% Edited code by Adam Turcotte and Nicolas Robidoux +% Laurentian University +% Sudbury, ON, Canada +% Last Modified: 2011-01-22 +% ---------------------------------------------------------------------- +% This code implements a refactored computation of SSIM that requires +% one fewer blur (4 instead of 5), the same number of pixel-by-pixel +% binary operations (10), and two fewer unary operations (6 instead of 8). +% +% In addition, this version reduces memory usage with in-place functions. +% As a result, it supports larger input images. +%======================================================================== + +% ======================================================================== +% SSIM Index with automatic downsampling, Version 1.0 +% Copyright(c) 2009 Zhou Wang +% All Rights Reserved. +% +% ---------------------------------------------------------------------- +% Permission to use, copy, or modify this software and its documentation +% for educational and research purposes only and without fee is hereby +% granted, provided that this copyright notice and the original authors' +% names appear on all copies and supporting documentation. This program +% shall not be used, rewritten, or adapted as the basis of a commercial +% software or hardware product without first obtaining permission of the +% authors. The authors make no representations about the suitability of +% this software for any purpose. It is provided "as is" without express +% or implied warranty. +%---------------------------------------------------------------------- +% +% This is an implementation of the algorithm for calculating the +% Structural SIMilarity (SSIM) index between two images +% +% Please refer to the following paper and the website with suggested usage +% +% Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, "Image +% quality assessment: From error visibility to structural similarity," +% IEEE Transactios on Image Processing, vol. 13, no. 4, pp. 600-612, +% Apr. 2004. +% +% http://www.ece.uwaterloo.ca/~z70wang/research/ssim/ +% +% Note: This program is different from ssim_index.m, where no automatic +% downsampling is performed. (downsampling was done in the above paper +% and was described as suggested usage in the above website.) +% +% Kindly report any suggestions or corrections to zhouwang@ieee.org +% +%---------------------------------------------------------------------- +% +%Input : (1) img1: the first image being compared +% (2) img2: the second image being compared +% (3) K: constants in the SSIM index formula (see the above +% reference). defualt value: K = [0.01 0.03] +% (4) window: local window for statistics (see the above +% reference). default widnow is Gaussian given by +% window = fspecial('gaussian', 11, 1.5); +% (5) L: dynamic range of the images. default: L = 255 +% +%Output: (1) mssim: the mean SSIM index value between 2 images. +% If one of the images being compared is regarded as +% perfect quality, then mssim can be considered as the +% quality measure of the other image. +% If img1 = img2, then mssim = 1. +% (2) ssim_map: the SSIM index map of the test image. The map +% has a smaller size than the input images. The actual size +% depends on the window size and the downsampling factor. +% +%Basic Usage: +% Given 2 test images img1 and img2, whose dynamic range is 0-255 +% +% [mssim, ssim_map] = ssim(img1, img2); +% +%Advanced Usage: +% User defined parameters. For example +% +% K = [0.05 0.05]; +% window = ones(8); +% L = 100; +% [mssim, ssim_map] = ssim(img1, img2, K, window, L); +% +%Visualize the results: +% +% mssim %Gives the mssim value +% imshow(max(0, ssim_map).^4) %Shows the SSIM index map +%======================================================================== + + +if (nargin < 2 || nargin > 5) + mssim = -Inf; + ssim_map = -Inf; + return; +end + +if (size(img1) ~= size(img2)) + mssim = -Inf; + ssim_map = -Inf; + return; +end + +[M N] = size(img1); + +if (nargin == 2) + if ((M < 11) || (N < 11)) + mssim = -Inf; + ssim_map = -Inf; + return + end + window = fspecial('gaussian', 11, 1.5); % + K(1) = 0.01; % default settings + K(2) = 0.03; % + L = 255; % +end + +if (nargin == 3) + if ((M < 11) || (N < 11)) + mssim = -Inf; + ssim_map = -Inf; + return + end + window = fspecial('gaussian', 11, 1.5); + L = 255; + if (length(K) == 2) + if (K(1) < 0 || K(2) < 0) + mssim = -Inf; + ssim_map = -Inf; + return; + end + else + mssim = -Inf; + ssim_map = -Inf; + return; + end +end + +if (nargin == 4) + [H W] = size(window); + if ((H*W) < 4 || (H > M) || (W > N)) + mssim = -Inf; + ssim_map = -Inf; + return + end + L = 255; + if (length(K) == 2) + if (K(1) < 0 || K(2) < 0) + mssim = -Inf; + ssim_map = -Inf; + return; + end + else + mssim = -Inf; + ssim_map = -Inf; + return; + end +end + +if (nargin == 5) + [H W] = size(window); + if ((H*W) < 4 || (H > M) || (W > N)) + mssim = -Inf; + ssim_map = -Inf; + return + end + if (length(K) == 2) + if (K(1) < 0 || K(2) < 0) + mssim = -Inf; + ssim_map = -Inf; + return; + end + else + mssim = -Inf; + ssim_map = -Inf; + return; + end +end + + +img1 = double(img1); +img2 = double(img2); + +% automatic downsampling +f = max(1,round(min(M,N)/256)); +%downsampling by f +%use a simple low-pass filter +if(f>1) + lpf = ones(f,f); + lpf = (1./(f*f))*lpf; + img1 = imfilter(img1,lpf,'symmetric','same'); + img2 = imfilter(img2,lpf,'symmetric','same'); + + img1 = img1(1:f:end,1:f:end); + img2 = img2(1:f:end,1:f:end); +end + +C1 = (K(1)*L)^2; +C2 = (K(2)*L)^2; +window = window/sum(sum(window)); +ssim_map = filter2(window, img1, 'valid'); % gx +w1 = filter2(window, img2, 'valid'); % gy +w2 = ssim_map.*w1; % gx*gy +w2 = 2*w2+C1; % 2*(gx*gy)+C1 = num1 +w1 = (w1-ssim_map).^2+w2; % (gy-gx)^2+num1 = den1 +ssim_map = filter2(window, img1.*img2, 'valid'); % g(x*y) +ssim_map = (2*ssim_map+(C1+C2))-w2; % 2*g(x*y)+(C1+C2)-num1 = num2 +ssim_map = ssim_map.*w2; % num +img1 = img1.^2; % x^2 +img2 = img2.^2; % y^2 +img1 = img1+img2; % x^2+y^2 + +if (C1 > 0 && C2 > 0) + w2 = filter2(window, img1, 'valid'); % g(x^2+y^2) + w2 = w2-w1+(C1+C2); % den2 + w2 = w2.*w1; % den + ssim_map = ssim_map./w2; % num/den = ssim +else + w3 = filter2(window, img1, 'valid'); % g(x^2+y^2) + w3 = w3-w1+(C1+C2); % den2 + w4 = ones(size(w1)); + index = (w1.*w3 > 0); + w4(index) = (ssim_map(index))./(w1(index).*w3(index)); + index = (w1 ~= 0) & (w3 == 0); + w4(index) = w2(index)./w1(index); + ssim_map = w4; +end + +mssim = mean2(ssim_map); + +return diff --git a/matlab/external/gptoolbox/external/ssim_index.m b/matlab/external/gptoolbox/external/ssim_index.m new file mode 100644 index 0000000..dd6d65f --- /dev/null +++ b/matlab/external/gptoolbox/external/ssim_index.m @@ -0,0 +1,214 @@ +function [mssim, ssim_map] = ssim_index(img1, img2, K, window, L) + +%======================================================================== +%Edited code by Adam Turcotte and Nicolas Robidoux +%Laurentian University +%Sudbury, ON, Canada +%Last Modified: 2011-01-22 +%---------------------------------------------------------------------- +%This code implements a refactored computation of SSIM that requires +%one fewer blur (4 instead of 5), the same number of pixel-by-pixel +%binary operations (10), and two fewer unary operations (6 instead of 8). +%As a result, it is about 20% faster. +% +%In addition, this version reduces memory usage with in-place functions. +%As a result, it supports larger input images. +%======================================================================== + +%======================================================================== +%SSIM Index, Version 1.0 +%Copyright(c) 2003 Zhou Wang +%All Rights Reserved. +% +%The author is with Howard Hughes Medical Institute, and Laboratory +%for Computational Vision at Center for Neural Science and Courant +%Institute of Mathematical Sciences, New York University. +% +%---------------------------------------------------------------------- +%Permission to use, copy, or modify this software and its documentation +%for educational and research purposes only and without fee is hereby +%granted, provided that this copyright notice and the original authors' +%names appear on all copies and supporting documentation. This program +%shall not be used, rewritten, or adapted as the basis of a commercial +%software or hardware product without first obtaining permission of the +%authors. The authors make no representations about the suitability of +%this software for any purpose. It is provided "as is" without express +%or implied warranty. +%---------------------------------------------------------------------- +% +%This is an implementation of the algorithm for calculating the +%Structural SIMilarity (SSIM) index between two images. Please refer +%to the following paper: +% +%Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, "Image +%quality assessment: From error measurement to structural similarity" +%IEEE Transactios on Image Processing, vol. 13, no. 1, Jan. 2004. +% +%Kindly report any suggestions or corrections to zhouwang@ieee.org +% +%---------------------------------------------------------------------- +% +%Input : (1) img1: the first image being compared +% (2) img2: the second image being compared +% (3) K: constants in the SSIM index formula (see the above +% reference). defualt value: K = [0.01 0.03] +% (4) window: local window for statistics (see the above +% reference). default widnow is Gaussian given by +% window = fspecial('gaussian', 11, 1.5); +% (5) L: dynamic range of the images. default: L = 255 +% +%Output: (1) mssim: the mean SSIM index value between 2 images. +% If one of the images being compared is regarded as +% perfect quality, then mssim can be considered as the +% quality measure of the other image. +% If img1 = img2, then mssim = 1. +% (2) ssim_map: the SSIM index map of the test image. The map +% has a smaller size than the input images. The actual size: +% size(img1) - size(window) + 1. +% +%Default Usage: +% Given 2 test images img1 and img2, whose dynamic range is 0-255 +% +% [mssim ssim_map] = ssim_index(img1, img2); +% +%Advanced Usage: +% User defined parameters. For example +% +% K = [0.05 0.05]; +% window = ones(8); +% L = 100; +% [mssim ssim_map] = ssim_index(img1, img2, K, window, L); +% +%See the results: +% +% mssim %Gives the mssim value +% imshow(max(0, ssim_map).^4) %Shows the SSIM index map +% +%======================================================================== + + +if (nargin < 2 || nargin > 5) + ssim_index = -Inf; + ssim_map = -Inf; + return; +end + +if (size(img1) ~= size(img2)) + ssim_index = -Inf; + ssim_map = -Inf; + return; +end + +[M N] = size(img1); + +if (nargin == 2) + if ((M < 11) || (N < 11)) + ssim_index = -Inf; + ssim_map = -Inf; + return + end + window = fspecial('gaussian', 11, 1.5); % + K(1) = 0.01; % default settings + K(2) = 0.03; % + L = 255; % +end + +if (nargin == 3) + if ((M < 11) || (N < 11)) + ssim_index = -Inf; + ssim_map = -Inf; + return + end + window = fspecial('gaussian', 11, 1.5); + L = 255; + if (length(K) == 2) + if (K(1) < 0 || K(2) < 0) + ssim_index = -Inf; + ssim_map = -Inf; + return; + end + else + ssim_index = -Inf; + ssim_map = -Inf; + return; + end +end + +if (nargin == 4) + [H W] = size(window); + if ((H*W) < 4 || (H > M) || (W > N)) + ssim_index = -Inf; + ssim_map = -Inf; + return + end + L = 255; + if (length(K) == 2) + if (K(1) < 0 || K(2) < 0) + ssim_index = -Inf; + ssim_map = -Inf; + return; + end + else + ssim_index = -Inf; + ssim_map = -Inf; + return; + end +end + +if (nargin == 5) + [H W] = size(window); + if ((H*W) < 4 || (H > M) || (W > N)) + ssim_index = -Inf; + ssim_map = -Inf; + return + end + if (length(K) == 2) + if (K(1) < 0 || K(2) < 0) + ssim_index = -Inf; + ssim_map = -Inf; + return; + end + else + ssim_index = -Inf; + ssim_map = -Inf; + return; + end +end + +C1 = (K(1)*L)^2; +C2 = (K(2)*L)^2; +window = window/sum(sum(window)); +img1 = double(img1); +img2 = double(img2); + +ssim_map = filter2(window, img1, 'valid'); % gx +w1 = filter2(window, img2, 'valid'); % gy +w2 = ssim_map.*w1; % gx*gy +w2 = 2*w2+C1; % 2*(gx*gy)+C1 = num1 +w1 = (w1-ssim_map).^2+w2; % (gy-gx)^2+num1 = den1 +ssim_map = filter2(window, img1.*img2, 'valid'); % g(x*y) +ssim_map = (2*ssim_map+(C1+C2))-w2; % 2*g(x*y)+(C1+C2)-num1 = num2 +ssim_map = ssim_map.*w2; % num +img1 = img1.^2; % x^2 +img2 = img2.^2; % y^2 +img1 = img1+img2; % x^2+y^2 + +if (C1 > 0 && C2 > 0) + w2 = filter2(window, img1, 'valid'); % g(x^2+y^2) + w2 = w2-w1+(C1+C2); % den2 + w2 = w2.*w1; % den + ssim_map = ssim_map./w2; % num/den = ssim +else + w3 = filter2(window, img1, 'valid'); % g(x^2+y^2) + w3 = w3-w1+(C1+C2); % den2 + w4 = ones(size(w1)); + index = (w1.*w3 > 0); + w4(index) = (ssim_map(index))./(w1(index).*w3(index)); + index = (w1 ~= 0) & (w3 == 0); + w4(index) = w2(index)./w1(index); + ssim_map = w4; +end + +mssim = mean2(ssim_map); + +return diff --git a/matlab/external/gptoolbox/external/stlread.m b/matlab/external/gptoolbox/external/stlread.m new file mode 100644 index 0000000..b061e5f --- /dev/null +++ b/matlab/external/gptoolbox/external/stlread.m @@ -0,0 +1,59 @@ +function [x, y, z, varargout] = stlread(filename) +% This function reads an STL file in binary format into matrixes X, Y and +% Z, and C. C is optional and contains color rgb data in 5 bits. +% +% USAGE: [x, y, z, c] = stlread(filename); +% +% To plot use patch(x,y,z,c), or patch(x,y,z) +% +% Written by Doron Harlev + +if nargout>4 + error('Too many output arguments') +end +use_color=(nargout==4); + +fid=fopen(filename, 'r'); %Open the file, assumes STL Binary format. +if fid == -1 + error('File could not be opened, check name or path.') +end + +ftitle=fread(fid,80,'uchar=>schar'); % Read file title +num_facet=fread(fid,1,'int32'); % Read number of Facets + +%fprintf('\nTitle: %s\n', char(ftitle')); +%fprintf('Num Facets: %d\n', num_facet); + +% Preallocate memory to save running time +x=zeros(3,num_facet); y=zeros(3,num_facet); z=zeros(3,num_facet); +if use_color + c=uint8(zeros(3,num_facet)); +end + +%h = waitbar(0,'Please wait...'); +for i=1:num_facet, + norm=fread(fid,3,'float32'); % normal coordinates, ignored for now + ver1=fread(fid,3,'float32'); % vertex 1 + ver2=fread(fid,3,'float32'); % vertex 2 + ver3=fread(fid,3,'float32'); % vertex 3 + col=fread(fid,1,'uint16'); % color bytes + if (bitget(col,16)==1 & use_color) + r=bitshift(bitand(2^16-1, col),-10); + g=bitshift(bitand(2^11-1, col),-5); + b=bitand(2^6-1, col); + c(:,i)=[r; g; b]; + end + x(:,i)=[ver1(1); ver2(1); ver3(1)]; % convert to matlab "patch" compatible format + y(:,i)=[ver1(2); ver2(2); ver3(2)]; + z(:,i)=[ver1(3); ver2(3); ver3(3)]; + if mod(i,floor(num_facet/10))==0 + %waitbar(i/num_facet,h); + end +end +if use_color + varargout(1)={c}; +end +fclose(fid); +%close(h); + +% For more information http://rpdrc.ic.polyu.edu.hk/old_files/stl_binary_format.htm diff --git a/matlab/external/gptoolbox/external/stlwrite.m b/matlab/external/gptoolbox/external/stlwrite.m new file mode 100644 index 0000000..ad92c7e --- /dev/null +++ b/matlab/external/gptoolbox/external/stlwrite.m @@ -0,0 +1,265 @@ +function stlwrite(filename, varargin) +%STLWRITE Write STL file from patch or surface data. +% +% STLWRITE(FILE, FV) writes a stereolithography (STL) file to FILE for a +% triangulated patch defined by FV (a structure with fields 'vertices' +% and 'faces'). +% +% STLWRITE(FILE, FACES, VERTICES) takes faces and vertices separately, +% rather than in an FV struct +% +% STLWRITE(FILE, X, Y, Z) creates an STL file from surface data in X, Y, +% and Z. STLWRITE triangulates this gridded data into a triangulated +% surface using triangulation options specified below. X, Y and Z can be +% two-dimensional arrays with the same size. If X and Y are vectors with +% length equal to SIZE(Z,2) and SIZE(Z,1), respectively, they are passed +% through MESHGRID to create gridded data. If X or Y are scalar values, +% they are used to specify the X and Y spacing between grid points. +% +% STLWRITE(...,'PropertyName',VALUE,'PropertyName',VALUE,...) writes an +% STL file using the following property values: +% +% MODE - File is written using 'binary' (default) or 'ascii'. +% +% TITLE - Header text (max 80 chars) written to the STL file. +% +% TRIANGULATION - When used with gridded data, TRIANGULATION is either: +% 'delaunay' - (default) Delaunay triangulation of X, Y +% 'f' - Forward slash division of grid quads +% 'b' - Back slash division of quadrilaterals +% 'x' - Cross division of quadrilaterals +% Note that 'f', 'b', or 't' triangulations now use an +% inbuilt version of FEX entry 28327, "mesh2tri". +% +% FACECOLOR - Single colour (1-by-3) or one-colour-per-face (N-by-3) +% vector of RGB colours, for face/vertex input. RGB range +% is 5 bits (0:31), stored in VisCAM/SolidView format +% (http://en.wikipedia.org/wiki/STL_(file_format)#Color_in_binary_STL) +% +% Example 1: +% % Write binary STL from face/vertex data +% tmpvol = zeros(20,20,20); % Empty voxel volume +% tmpvol(8:12,8:12,5:15) = 1; % Turn some voxels on +% fv = isosurface(tmpvol, 0.99); % Create the patch object +% stlwrite('test.stl',fv) % Save to binary .stl +% +% Example 2: +% % Write ascii STL from gridded data +% [X,Y] = deal(1:40); % Create grid reference +% Z = peaks(40); % Create grid height +% stlwrite('test.stl',X,Y,Z,'mode','ascii') + +% Original idea adapted from surf2stl by Bill McDonald. Huge speed +% improvements implemented by Oliver Woodford. Non-Delaunay triangulation +% of quadrilateral surface courtesy of Kevin Moerman. FaceColor +% implementation by Grant Lohsen. +% +% Author: Sven Holcombe, 11-24-11 + + +% Check valid filename path +path = fileparts(filename); +if ~isempty(path) && ~exist(path,'dir') + error('Directory "%s" does not exist.',path); +end + +% Get faces, vertices, and user-defined options for writing +[faces, vertices, options] = parseInputs(varargin{:}); +asciiMode = strcmp( options.mode ,'ascii'); + +% Create the facets +facets = single(vertices'); +facets = reshape(facets(:,faces'), 3, 3, []); + +% Compute their normals +V1 = squeeze(facets(:,2,:) - facets(:,1,:)); +V2 = squeeze(facets(:,3,:) - facets(:,1,:)); +normals = V1([2 3 1],:) .* V2([3 1 2],:) - V2([2 3 1],:) .* V1([3 1 2],:); +clear V1 V2 +normals = bsxfun(@times, normals, 1 ./ sqrt(sum(normals .* normals, 1))); +facets = cat(2, reshape(normals, 3, 1, []), facets); +clear normals + +% Open the file for writing +permissions = {'w','wb+'}; +fid = fopen(filename, permissions{asciiMode+1}); +if (fid == -1) + error('stlwrite:cannotWriteFile', 'Unable to write to %s', filename); +end + +% Write the file contents +if asciiMode + % Write HEADER + fprintf(fid,'solid %s\r\n',options.title); + % Write DATA + fprintf(fid,[... + 'facet normal %.7E %.7E %.7E\r\n' ... + 'outer loop\r\n' ... + 'vertex %.7E %.7E %.7E\r\n' ... + 'vertex %.7E %.7E %.7E\r\n' ... + 'vertex %.7E %.7E %.7E\r\n' ... + 'endloop\r\n' ... + 'endfacet\r\n'], facets); + % Write FOOTER + fprintf(fid,'endsolid %s\r\n',options.title); + +else % BINARY + % Write HEADER + fprintf(fid, '%-80s', options.title); % Title + fwrite(fid, size(facets, 3), 'uint32'); % Number of facets + % Write DATA + % Add one uint16(0) to the end of each facet using a typecasting trick + facets = reshape(typecast(facets(:), 'uint16'), 12*2, []); + % Set the last bit to 0 (default) or supplied RGB + facets(end+1,:) = options.facecolor; + fwrite(fid, facets, 'uint16'); +end + +% Close the file +fclose(fid); +fprintf('Wrote %d facets\n',size(facets, 3)); + + +%% Input handling subfunctions +function [faces, vertices, options] = parseInputs(varargin) +% Determine input type +if isstruct(varargin{1}) % stlwrite('file', FVstruct, ...) + if ~all(isfield(varargin{1},{'vertices','faces'})) + error( 'Variable p must be a faces/vertices structure' ); + end + faces = varargin{1}.faces; + vertices = varargin{1}.vertices; + options = parseOptions(varargin{2:end}); + +elseif isnumeric(varargin{1}) + firstNumInput = cellfun(@isnumeric,varargin); + firstNumInput(find(~firstNumInput,1):end) = 0; % Only consider numerical input PRIOR to the first non-numeric + numericInputCnt = nnz(firstNumInput); + + options = parseOptions(varargin{numericInputCnt+1:end}); + switch numericInputCnt + case 3 % stlwrite('file', X, Y, Z, ...) + % Extract the matrix Z + Z = varargin{3}; + + % Convert scalar XY to vectors + ZsizeXY = fliplr(size(Z)); + for i = 1:2 + if isscalar(varargin{i}) + varargin{i} = (0:ZsizeXY(i)-1) * varargin{i}; + end + end + + % Extract X and Y + if isequal(size(Z), size(varargin{1}), size(varargin{2})) + % X,Y,Z were all provided as matrices + [X,Y] = varargin{1:2}; + elseif numel(varargin{1})==ZsizeXY(1) && numel(varargin{2})==ZsizeXY(2) + % Convert vector XY to meshgrid + [X,Y] = meshgrid(varargin{1}, varargin{2}); + else + error('stlwrite:badinput', 'Unable to resolve X and Y variables'); + end + + % Convert to faces/vertices + if strcmp(options.triangulation,'delaunay') + faces = delaunay(X,Y); + vertices = [X(:) Y(:) Z(:)]; + else + if ~exist('mesh2tri','file') + error('stlwrite:missing', '"mesh2tri" is required to convert X,Y,Z matrices to STL. It can be downloaded from:\n%s\n',... + 'http://www.mathworks.com/matlabcentral/fileexchange/28327') + end + [faces, vertices] = mesh2tri(X, Y, Z, options.triangulation); + end + + case 2 % stlwrite('file', FACES, VERTICES, ...) + faces = varargin{1}; + vertices = varargin{2}; + + otherwise + error('stlwrite:badinput', 'Unable to resolve input types.'); + end +end + +if ~isempty(options.facecolor) % Handle colour preparation + fprintf('HAY COLOR!\n'); + facecolor = uint16(options.facecolor); + %Set the Valid Color bit (bit 15) + c0 = bitshift(ones(size(faces,1),1,'uint16'),15); + %Red color (10:15), Blue color (5:9), Green color (0:4) + c0 = bitor(bitshift(bitand(2^6-1, facecolor(:,1)),10),c0); + c0 = bitor(bitshift(bitand(2^11-1, facecolor(:,2)),5),c0); + c0 = bitor(bitand(2^6-1, facecolor(:,3)),c0); + options.facecolor = c0; +else + options.facecolor = 0; +end + +function options = parseOptions(varargin) +IP = inputParser; +IP.addParamValue('mode', 'binary', @ischar) +IP.addParamValue('title', sprintf('Created by stlwrite.m %s',datestr(now)), @ischar); +IP.addParamValue('triangulation', 'delaunay', @ischar); +IP.addParamValue('facecolor',[], @isnumeric) +IP.parse(varargin{:}); +options = IP.Results; + +function [F,V]=mesh2tri(X,Y,Z,tri_type) +% function [F,V]=mesh2tri(X,Y,Z,tri_type) +% +% Available from http://www.mathworks.com/matlabcentral/fileexchange/28327 +% Included here for convenience. Many thanks to Kevin Mattheus Moerman +% kevinmoerman@hotmail.com +% 15/07/2010 +%------------------------------------------------------------------------ + +[J,I]=meshgrid(1:1:size(X,2)-1,1:1:size(X,1)-1); + +switch tri_type + case 'f'%Forward slash + TRI_I=[I(:),I(:)+1,I(:)+1; I(:),I(:),I(:)+1]; + TRI_J=[J(:),J(:)+1,J(:); J(:),J(:)+1,J(:)+1]; + F = sub2ind(size(X),TRI_I,TRI_J); + case 'b'%Back slash + TRI_I=[I(:),I(:)+1,I(:); I(:)+1,I(:)+1,I(:)]; + TRI_J=[J(:)+1,J(:),J(:); J(:)+1,J(:),J(:)+1]; + F = sub2ind(size(X),TRI_I,TRI_J); + case 'x'%Cross + TRI_I=[I(:)+1,I(:); I(:)+1,I(:)+1; I(:),I(:)+1; I(:),I(:)]; + TRI_J=[J(:),J(:); J(:)+1,J(:); J(:)+1,J(:)+1; J(:),J(:)+1]; + IND=((numel(X)+1):numel(X)+prod(size(X)-1))'; + F = sub2ind(size(X),TRI_I,TRI_J); + F(:,3)=repmat(IND,[4,1]); + Fe_I=[I(:),I(:)+1,I(:)+1,I(:)]; Fe_J=[J(:),J(:),J(:)+1,J(:)+1]; + Fe = sub2ind(size(X),Fe_I,Fe_J); + Xe=mean(X(Fe),2); Ye=mean(Y(Fe),2); Ze=mean(Z(Fe),2); + X=[X(:);Xe(:)]; Y=[Y(:);Ye(:)]; Z=[Z(:);Ze(:)]; +end + +V=[X(:),Y(:),Z(:)]; + +% Copyright (c) 2008, Sven Holcombe +% All rights reserved. +% +% Redistribution and use in source and binary forms, with or without +% modification, are permitted provided that the following conditions are +% met: +% +% * Redistributions of source code must retain the above copyright +% notice, this list of conditions and the following disclaimer. +% * Redistributions in binary form must reproduce the above copyright +% notice, this list of conditions and the following disclaimer in +% the documentation and/or other materials provided with the distribution +% +% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +% AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +% IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +% ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE +% LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +% CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +% SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +% INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +% CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +% ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +% POSSIBILITY OF SUCH DAMAGE. diff --git a/matlab/external/gptoolbox/external/tabcomplete.m b/matlab/external/gptoolbox/external/tabcomplete.m new file mode 100644 index 0000000..a74da40 --- /dev/null +++ b/matlab/external/gptoolbox/external/tabcomplete.m @@ -0,0 +1,363 @@ +function definitions = tabcomplete(funcName, varargin) +%tabcomplete Sets tab completion for the specified function +% +% Syntax: +% definitions = tabcomplete(funcName, argType, ...) +% +% Description: +% Argument tab-completion occur when the user presses the key +% following the function name in the Command Window. The list of +% available/possible arguments is then presented in a popup window. +% +% TABCOMPLETE modifies the [matlabroot '/toolbox/local/TC.xml'] file +% to set/unset the tab-completion definition of the specified function. +% Note: changes take effect only after a Matlab restart. +% +% TABCOMPLETE(funcName, argType1, argType2, ...) sets the tab-completion +% list for function arguments 1, 2, etc. argType can be one of these pre- +% defined keywords: +% - 'var' - list of current workspace variables +% - 'fun' - list of accessible functions +% - 'subfun' - list of accessible sub-functions +% - 'dir' - list of accessible folders (directories) +% - 'file' - list of accessible files (of any type) +% - 'mfile' - list of accessible *.m files (Matlab functions) +% - 'matfile' - list of accessible *.mat files (Matlab data) +% - 'figfile' - list of accessible *.fig files (figures) +% - 'mdlfile' - list of accessible *.mdl files (Simulink models) +% - 'mcospkg' - list of accessible MCOS class packages (R2010a+) +% - 'mcosclass' - list of accessible MCOS classes (R2010a+) +% - 'messageid' - list of accessible error/warning message IDs (R2011b+) +% - (if none of the above is specified, 'subfun' is set automatically) +% And in addition to the pre-defined kewords: +% - additional string value(s) that will be added to the pop-up list +% +% Multiple types for the same argument can be specified: +% - as a cell array - example: {'var','file','on','off'} +% - as a space-separated string - example: 'var file on off' +% +% The last argType specified will apply for all subsequent arguments. +% The last argType may be '' (empty string) to indicate the end of tab- +% completed args. The last argType does *NOT* accept additional string +% values like the rest of the arguments. +% +% TABCOMPLETE(funcName,'') removes all arg tab-completions for funcName +% (this is an immediate corollary of the previous paragraph). +% +% definitions=TABCOMPLETE (without any arguments) returns a structure +% array listing all the current tab-completion definitions. +% +% definitions=TABCOMPLETE(funcName) returns a structure listing the +% tab-completion definition for the specified function (if existing). +% +% definitions=TABCOMPLETE(...) returns a structure array listing all +% tab-completion definitions BEFORE their modification by TABCOMPLETE. +% +% Examples: +% tabcomplete('addpath','dir') % sets multiple folder completions +% tabcomplete('edit','file fun') % sets multiple file/func completions +% tabcomplete('cd','dir','') % sets a single-arg folder completion +% tabcomplete('save','matfile',{'var','-struct','-regexp'}) +% => *.mat followed by multiple variable-names or '-struct'/'-regexp' +% tabcomplete('myFunc','') % removes myFunc's arg tab-completions +% defs = tabcomplete('cd') % returns 'cd' function's tab-completions +% defs = tabcomplete % returns all currently-defined tab-completions +% +% Known issues/limitations: +% - The modified tab-completions only take effect after Matlab restart. +% - The last (default) argType does NOT accept non-pre-defined keywords +% (this is a limitation of Matlab's TC.xsd definition file). +% - Arguments *MUST* use at least one of the pre-define keywords for their +% argType (this is another limitation of Matlab's TC.xsd definition file). +% - Only lowercase function names are supported. This is another limitation +% of Matlab's TC.xsd definition file. It can be overcome by editing TC.xsd +% (in the same folder as TC.xml) line #20: Change to: '[A-Za-z_0-9]+(/[A-Za-z_0-9]+)?'/> +% - This utility currently does not enable setting previous-arg-based +% tab-completions (e.g., as for 'whos' which defines: previous="-file"). +% You can edit the TC.xml file manually to achieve this functionality. +% +% Warning: +% This code heavily relies on undocumented and unsupported Matlab +% functionality. It works on Matlab 7+, but use at your own risk! +% +% Technical explanation: +% A technical explanation of the code in this utility can be found on +% http://undocumentedmatlab.com/blog/setting-desktop-tab-completions +% +% Bugs and suggestions: +% Please send to Yair Altman (altmany at gmail dot com) +% +% Change log: +% 2010-03-03: First version posted on the MathWorks File Exchange +% 2010-09-28: Minor fix to msgbox in case of backup problem +% 2012-02-04: Added MCOSPKG,MCOSCLASS (R2010a+), MESSAGEID (R2011b+) argTypes; warn when using extra vars in R2010a-R2011b; attempt to make TC.xml writeable before updating +% +% See also: +% cprintf, setPrompt (on the File Exchange) + +% License to use and modify this code is granted freely to all interested, as long as the original author is +% referenced and attributed as such. The original author maintains the right to be solely associated with this work. + +% Programmed and Copyright by Yair M. Altman: altmany(at)gmail.com +% $Revision: 1.02 $ $Date: 2012/02/04 19:33:47 $ + + % Get the current definitions + [defs,tcXmlFilename] = getCurrentXmlDefs; + + % If modification was requested + if nargin > 1 + % Ensure that a backup file was made + bakFilename = strrep(tcXmlFilename,'.xml','.bak'); + if ~exist(bakFilename,'file') && ~ispref(mfilename,'dontBackup') + % Ask the user whether to save a backup copy (YES, no, no & don't ask again) + msg = {'It is advisable to save a backup copy before modifying.', '', ['Save ' bakFilename '?']}; + switch getQuestDlg(msg) + case 'Yes' % => Yes: backup file + [status,msg] = copyfile(tcXmlFilename,bakFilename,'f'); + if ~status + error('YMA:TabComplete:CreateBakup','Failed to create %s:\n%s',bakFilename,msg); + end + case 'No & never ask again' % => No & don't ask again + setpref(mfilename,'dontBackup',1); + case '' + return; % bail-out upon + otherwise + % forget it... + end + end + + % Find the relevant function index in the TC list + funcIdx = find(strcmpi({defs.functionName},funcName)); + if length(funcIdx) > 1 + error('YMA:TabComplete:TooManyPossibilities','Too many possible functions - bailing out'); + elseif ~isempty(funcIdx) && ~isempty(defs(funcIdx).functionArgs) + funcIdx = -funcIdx; % indicate that there are sub-nodes + end + + % Parse the requested changes and convert into an XML node + nodeXmlStr = getXmlStr(funcName, varargin{:}); + + % Update the XML file with the modified node + fullXmlStr = getFullXmlStr(tcXmlFilename, funcName, funcIdx, nodeXmlStr); + updateXmlFile(tcXmlFilename,fullXmlStr); + end + + % Return the definitions if requested + %if nargout + if nargin == 1 % single arg: funcName + definitions = defs(strcmpi({defs.functionName},funcName)); + else % 0 or 2+ args: return entire defs list + definitions = defs; + end + %end % if nargout +end % tabcomplete + +% Query dialog +function answer = getQuestDlg(msg) + createStruct.Interpreter = 'none'; + createStruct.Default = 'Yes'; + answer = questdlg(msg,mfilename,'Yes','No','No & never ask again',createStruct); + drawnow; +end % getQuestDlg + +% Get the current definitions +function [defs,tcXmlFilename] = getCurrentXmlDefs + + % Check whether the TC.xml file exists + tcXmlFilename = fullfile(matlabroot,'/toolbox/local/TC.xml'); + if ~exist(tcXmlFilename,'file') + error('YMA:TabComplete:FileNotFound',strrep([tcXmlFilename ' was not found - cannot set tab-completions'],'\','\\')); + end + + % Try parsing the defs file as an XML file + try + xmlDoc = xmlread(tcXmlFilename); + catch + error('YMA:TabComplete:XML_Error',strrep([tcXmlFilename ' appears to be an invalid XML file - parse error: ' lasterr],'\','\\')); %#ok compatibility + end + + % Loop over all child nodes + try + % Get the list of all TC binding elements. + allBindings = xmlDoc.getElementsByTagName('binding'); + + % Note that the item list index is zero-based. + for k = 0 : allBindings.getLength-1 + + % Get the base node's attributes + thisBinding = allBindings.item(k); + defs(k+1).functionName = getAttrValue(thisBinding, 'name'); %#ok grow + defs(k+1).defaultType = getAttrValue(thisBinding, 'ctype'); %#ok grow + defs(k+1).extraValues = getAttrValue(thisBinding, 'value'); %#ok grow + defs(k+1).platform = getAttrValue(thisBinding, 'platform'); %#ok grow + defs(k+1).functionArgs = []; %#ok grow + + % Loop over all binding args + attrIdx = 1; + childNode = thisBinding.getFirstChild; + while ~isempty(childNode) + %Filter out text, comments, and processing instructions. + if childNode.getNodeType==childNode.ELEMENT_NODE && strcmpi(childNode.getNodeName,'arg') + argsIdx = str2num(getAttrValue(childNode, 'argn')); %#ok + if isempty(argsIdx) + argsIdx = length(defs(k+1).functionArgs) + 1; + if ~isempty(getAttrValue(childNode, 'previous')) + argsIdx = max(2,argsIdx); + end + end + [defs(k+1).functionArgs(argsIdx).previousArg] = deal(getAttrValue(childNode, 'previous')); %#ok grow + [defs(k+1).functionArgs(argsIdx).argType] = deal(getAttrValue(childNode, 'ctype')); %#ok grow + [defs(k+1).functionArgs(argsIdx).extraValues] = deal(getAttrValue(childNode, 'value')); %#ok grow + attrIdx = attrIdx + 1; + end + childNode = childNode.getNextSibling; + end % loop over all ars + end % loop over all bindings + catch + error('YMA:TabComplete:XML_Error','%s appears to be an invalid XML file - parse error:\n%s',strrep(tcXmlFilename,'\','\\'),lasterr); %#ok compatibility + end +end % getCurrentXmlDefs + +% Parse an XML attribute to get its value +function value = getAttrValue(node,name) + attrStr = char(node.getAttributeNode(name)); + value = regexprep(attrStr,'.*="(.*)"','$1'); +end % getAttrValue + +% Parse requested changes and convert into an XML node +function nodeXmlStr = getXmlStr(funcName, varargin) + warnFlag = 0; + if ~isempty(varargin{end}) + [ctype,extra,warnFlag] = getCtypeExtra(varargin{end},warnFlag,nargin-1); %#ok extra is unused + nodeXmlStr = [' ']; + else + nodeXmlStr = [' ']; + end + for argIdx = 1 : nargin-2 + [ctype,extra,warnFlag] = getCtypeExtra(varargin{argIdx},warnFlag,argIdx); + if argIdx == 1, nodeXmlStr = sprintf('%s\n',nodeXmlStr); end + nodeXmlStr = sprintf('%s = 10 && V(2) <= 13) && ... % R2010a-R2011b + ~ispref(mfilename,'dontUseExtra') + msg = {['Matlab R2010a-R2011b have a bug that cause an endless loop (100% CPU load) when using extra tab-completion values such as "' extra '"'], ... + '', 'Use the extra parameters anyway?'}; + switch getQuestDlg(msg) + case 'Yes' % => Yes: use extra, nothing to do here + case 'No & never ask again' % => No & don't ask again + setpref(mfilename,'dontUseExtra',1); + otherwise % Esc or No + extra = ''; + end + end + end + if ~isempty(extra) + nodeXmlStr = sprintf('%s value="%s"',nodeXmlStr,extra); + end + nodeXmlStr = sprintf('%s/>\n',nodeXmlStr); + end % loop over all args + nodeXmlStr = sprintf('%s ',nodeXmlStr); +end % getXmlStr + +% Parse a values array to find CTYPE & extra values +function [ctype,extra,warnFlag] = getCtypeExtra(data,warnFlag,argIdx) + values = normalizeData(data); + if ~isempty(values) + values = textscan(values,'%s '); + values = unique(values{1}); + else + values = {}; + end + + % Determine the accepted argTypes + argTypes = {'VAR','FUN','SUBFUN','DIR','FILE','MFILE','MATFILE','FIGFILE','MDLFILE'}; + V = sscanf(version, '%d.', 2); + if V(1) >= 8 || (V(1) >= 7 && V(2) >= 10) % R2010a+ + argTypes = [argTypes, 'MCOSPKG', 'MCOSCLASS']; + end + if V(1) >= 8 || (V(1) >= 7 && V(2) >= 13) % R2011b+ + argTypes = [argTypes, 'MESSAGEID']; + end + + ctypeIdx = ismember(upper(values),argTypes); + if ~any(ctypeIdx) + if ~warnFlag + warning('YMA:TabComplete:NoStdCtype','No standard type was specified for arg #%d - setting it to ''SUBFUN''', argIdx); + warnFlag = 1; + end + ctype = 'SUBFUN'; % No standard ctype was specified so use default = 'SUBFUN' + else + ctype = normalizeData(upper(values(ctypeIdx))); + end + extra = normalizeData(values(~ctypeIdx)); +end % getCtypeExtra + +% Normalize a cell array into a space-separated string +function str = normalizeData(str) + try + str = sprintf('%s ',str{:}); + catch + % Never mind - probably not a cell array but a string + end + str = strtrim(str); +end % normalizeData + +% Update the XML text string with the modified node +function fullXmlStr = getFullXmlStr(tcXmlFilename, funcName, funcIdx, nodeXmlStr) + txt = urlread(['file:///' tcXmlFilename]); % simple hack to quickly read the file... + if isempty(funcIdx) + fullXmlStr = regexprep(txt,'()',sprintf('%s\n$1',nodeXmlStr)); + else + if funcIdx > 0 + searchStr = sprintf(' *',funcName); + if isempty(regexp(txt,searchStr,'once')) + searchStr = sprintf(' *',funcName); + end + else + searchStr = sprintf(' *',funcName); + end + fullXmlStr = regexprep(txt,searchStr,sprintf('%s',nodeXmlStr)); + end +end % getFullXmlStr + +% Update the XML file with the modified node +function updateXmlFile(tcXmlFilename,fullXmlStr) + try + % First try to make the file writeable - try to proceed even upon error + try fileattrib(tcXmlFilename,'+w'); catch, end + [fid,msg] = fopen(tcXmlFilename,'wb'); + if fid<0, error(msg); end + len = fprintf(fid, '%s', fullXmlStr); + fclose(fid); + if len<0, error('Not all requested text was written'); end + catch + error('YMA:TabComplete:CannotSave','Could not update %s:\n%s',tcXmlFilename,lasterr); %#ok compatibility + end +end % updateXmlFile + +% Copyright (c) 2010, Yair Altman +% All rights reserved. +% +% Redistribution and use in source and binary forms, with or without +% modification, are permitted provided that the following conditions are +% met: +% +% * Redistributions of source code must retain the above copyright +% notice, this list of conditions and the following disclaimer. +% * Redistributions in binary form must reproduce the above copyright +% notice, this list of conditions and the following disclaimer in +% the documentation and/or other materials provided with the distribution +% +% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +% AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +% IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +% ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE +% LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +% CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +% SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +% INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +% CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +% ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +% POSSIBILITY OF SUCH DAMAGE. diff --git a/matlab/external/gptoolbox/external/tilefigs.m b/matlab/external/gptoolbox/external/tilefigs.m new file mode 100644 index 0000000..8a81788 --- /dev/null +++ b/matlab/external/gptoolbox/external/tilefigs.m @@ -0,0 +1,89 @@ +function tilefigs(tile,border) +% tile figure windows usage: tilefigs ([nrows ncols],border_in pixels) +% nrows,ncols may be nonpositive or inf to mean that they should be computed +% automatically +% Restriction: maximum of 100 figure windows +% Without arguments, tilefigs will determine the closest N x N grid + + +%Charles Plum Nichols Research Corp. +% 70 Westview Street +%Tel: (781) 862-9400 Kilnbrook IV +%Fax: (781) 862-9485 Lexington, MA 02173 + + +maxpos = get (0,'screensize'); % determine terminal size in pixels +maxpos(4) = maxpos(4) - 25; +hands = get (0,'Children'); % locate fall open figure handles +hands = sort(hands); % sort figure handles +numfigs = size(hands,1); % number of open figures + + +maxfigs = 100; + + +if (numfigs>maxfigs) % figure limit check + disp([' More than ' num2str(maxfigs) ' figures ... get serious pal']) + return +end + + +if nargin > 0 + nrows = tile(1); + ncols = tile(2); + both_inf = false; + + if (ncols <= 0 || ncols == inf) && (nrows <= 0 || nrows == inf) + both_inf = true; + elseif ncols <= 0 || ncols == inf + ncols = ceil(numfigs/nrows); + elseif nrows <= 0 || nrows == inf + nrows = ceil(numfigs/ncols); + end + + if numfigs > nrows*ncols + disp ([' requested tile size too small for ' ... + num2str(numfigs) ' open figures ']) + return + end +end + +if (nargin == 0 || both_inf) + maxfactor = sqrt(maxfigs); % max number of figures per row or column + sq = [2:maxfactor].^2; % vector of integer squares + sq = sq(find(sq>=numfigs)); % determine square grid size + gridsize = sq(1); % best grid size + nrows = sqrt(gridsize); % figure size screen scale factor + ncols = nrows; % figure size screen scale factor +end + +if nargin < 2 + border = 0; +else + maxpos(3) = maxpos(3) - 2*border; + maxpos(4) = maxpos(4) - 2*border; +end +xlen = fix(maxpos(3)/ncols) - 30; % new tiled figure width +ylen = fix(maxpos(4)/nrows) - 45; % new tiled figure height + + +% tile figures by postiion +% Location (1,1) is at bottom left corner +pnum=0; +for iy = 1:nrows + ypos = maxpos(4) - fix((iy)*maxpos(4)/nrows) + border +25; % figure location (row) + for ix = 1:ncols + xpos = fix((ix-1)*maxpos(3)/ncols + 1) + border+7; % figure location (column) + pnum = pnum+1; + if (pnum>numfigs) + break + else + figure(hands(pnum)) + set(hands(pnum),'Position',[ xpos ypos xlen ylen ]); % move figure + end + end +end +return + + +% ------------------------------------------------------------------------- diff --git a/matlab/external/gptoolbox/external/timeit.m b/matlab/external/gptoolbox/external/timeit.m new file mode 100644 index 0000000..52f112c --- /dev/null +++ b/matlab/external/gptoolbox/external/timeit.m @@ -0,0 +1,1177 @@ +function [t, measurement_overhead, measurement_details] = timeit(f, num_outputs) +%TIMEIT Measure time required to run function. +% T = TIMEIT(F) measures the time (in seconds) required to run F, which is a +% function handle. TIMEIT calls F with either no output arguments or one +% output argument depending on nargout(F). +% +% T = TIMEIT(F,N) calls F with N output arguments. N can be 0, 1, 2, 3, 4, or 5. +% +% TIMEIT handles automatically the usual benchmarking procedures of "warming +% up" F, figuring out how many times to repeat F in a timing loop, etc. +% TIMEIT also compensates for the estimated time-measurement overhead +% associated with tic/toc and with calling function handles. TIMEIT returns +% the median of several repeated measurements. +% +% Examples +% -------- +% How much time does it take to compute sum(A.' .* B, 1), where A is +% 12000-by-400 and B is 400-by-12000? +% +% A = rand(12000, 400); +% B = rand(400, 12000); +% f = @() sum(A.' .* B, 1); +% timeit(f) +% +% How much time does it take to call svd with three output arguments? +% +% X = [1 2; 3 4; 5 6; 7 8]; +% f = @() svd(X); +% timeit(f, 3) +% +% How much time does it take to dilate the text.png image with +% a 25-by-25 all-ones structuring element? (This example uses Image Processing +% Toolbox functions.) +% +% bw = imread('text.png'); +% se = strel(ones(25, 25)); +% g = @() imdilate(bw, se); +% timeit(g) + +% Steve Eddins +% Copyright 2008-2010 The MathWorks, Inc. + +if nargin < 2 + num_outputs = min(numOutputs(f), 1); +else + if num_outputs > 5 + warning('MATLAB:timeit:tooManyOutputs', ... + 'Too many function output arguments specified. timeit will call your function with 5 output arguments.'); + end +end + +t_rough = roughEstimate(f, num_outputs); + +% Calculate the number of inner-loop repetitions so that the inner for-loop +% takes at least about 1ms to execute. +desired_inner_loop_time = 0.001; +num_inner_iterations = max(ceil(desired_inner_loop_time / t_rough), 1); + +% Run the outer loop enough times to give a reasonable set of inputs to median. +num_outer_iterations = 11; + +% If the estimated running time for the timing loops is too long, +% reduce the number of outer loop iterations. +estimated_running_time = num_outer_iterations * num_inner_iterations * t_rough; +long_time = 15; +min_outer_iterations = 3; +if estimated_running_time > long_time + num_outer_iterations = ceil(long_time / (num_inner_iterations * t_rough)); + num_outer_iterations = max(num_outer_iterations, min_outer_iterations); +end + +times = zeros(num_outer_iterations, 1); + +for k = 1:num_outer_iterations + % Coding note: An earlier version of this code constructed an "outputs" cell + % array, which was used in comma-separated form for the left-hand side of + % the call to f(). It turned out, though, that the comma-separated output + % argument added significant measurement overhead. Therefore, the cases + % for different numbers of output arguments are hard-coded into the switch + % statement below. + switch num_outputs + case 0 + tic(); + for p = 1:num_inner_iterations + f(); + end + times(k) = toc(); + + case 1 + tic(); + for p = 1:num_inner_iterations + output = f(); + end + times(k) = toc(); + + case 2 + tic(); + for p = 1:num_inner_iterations + [output1, output2] = f(); + end + times(k) = toc(); + + case 3 + tic(); + for p = 1:num_inner_iterations + [output1, output2, output3] = f(); + end + times(k) = toc(); + + case 4 + tic(); + for p = 1:num_inner_iterations + [output1, output2, output3, output4] = f(); + end + times(k) = toc(); + + otherwise + tic(); + for p = 1:num_inner_iterations + [output1, output2, output3, output4, output5] = f(); + end + times(k) = toc(); + end + +end + +t = median(times) / num_inner_iterations; + +measurement_details.EmptyFunctionCallTime = emptyFunctionCallTime(); +measurement_details.SimpleFunctionHandleCallTime = simpleFunctionHandleCallTime(); +measurement_details.AnonymousFunctionHandleCallTime = anonFunctionHandleCallTime(); +measurement_details.TicTocCallTime = tictocCallTime(); +measurement_overhead = (tictocCallTime() / num_inner_iterations) + ... + functionHandleCallOverhead(f); + +t = max(t - measurement_overhead, 0); + +if t < (5 * measurement_overhead) + warning('MATLAB:timeit:HighOverhead', 'The measured time for F may be inaccurate because it is close to the estimated time-measurement overhead (%.1e seconds). Try measuring something that takes longer.', measurement_overhead); +end + +function t = roughEstimate(f, num_f_outputs) +% Return rough estimate of time required for one execution of +% f(). Basic warmups are done, but no fancy looping, medians, +% etc. + +% Warm up tic/toc. +tic(); +elapsed = toc(); +tic(); +elapsed = toc(); + +% Call f() in a loop for at least a millisecond. +times = []; +time_threshold = 3; +iter_count = 0; +while sum(times) < 0.001 + iter_count = iter_count + 1; + + switch num_f_outputs + case 0 + tic(); + f(); + times(end+1) = toc(); + + case 1 + tic(); + output1 = f(); + times(end+1) = toc(); + + case 2 + tic(); + [output1, output2] = f(); + times(end+1) = toc(); + + case 3 + tic(); + [output1, output2, output3] = f(); + times(end+1) = toc(); + + case 4 + tic(); + [output1, output2, output3, output4] = f(); + times(end+1) = toc(); + + otherwise + tic(); + [output1, output2, output3, output4, output5] = f(); + times(end+1) = toc(); + end + + if iter_count == 1 + if times > time_threshold + % If the first call to f() takes more than time_threshold to run, + % then just use the result from that call. The assumption is that + % first-time effects are negligible compared to the running time for + % f(). + break; + else + % Discard first timing. + times = []; + end + end +end + +t = median(times); + +function n = numOutputs(f) +% Return the number of output arguments to be used when calling the function +% handle f. +% * If nargout(f) > 0, return 1. +% * If nargout(f) == 0, return 0. +% * If nargout(f) < 0, use try/catch to determine whether to call f with one +% or zero output arguments. +% Note: It is not documented (as of R2008b) that nargout can return -1. +% However, it appears to do so for functions that use varargout and for +% anonymous function handles. + +n = nargout(f); +if n < 0 + try + a = f(); + % If the line above doesn't throw an error, then it's OK to call f() with + % one output argument. + n = 1; + + catch %#ok + % If we get here, assume it's because f() has zero output arguments. In + % recent versions of MATLAB we could catch the specific exception ID + % MATLAB:maxlhs, but that would limit the use of timeit to MATLAB versions + % since the introduction of MExceptions. + n = 0; + end +end + +function t = tictocCallTime +% Return the estimated time required to call tic/toc. + +persistent ttct +if ~isempty(ttct) + t = ttct; + return +end + +% Warm up tic/toc. +temp = tic(); elapsed = toc(); +temp = tic(); elapsed = toc(); +temp = tic(); elapsed = toc(); + +num_repeats = 11; +times = zeros(1, num_repeats); + +for k = 1:num_repeats + times(k) = tictocTimeExperiment(); +end + +t = min(times); +ttct = t; + +function t = tictocTimeExperiment +% Call tic/toc 100 times and return the average time required. + +elapsed = 0; +% Call tic/toc 100 times. +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); +tic(); elapsed = elapsed + toc(); + +t = elapsed / 100; + +function emptyFunction() + +function t = functionHandleCallOverhead(f) +% Return the estimated overhead, in seconds, for calling a function handle +% compared to calling a normal function. + +fcns = functions(f); +if strcmp(fcns.type, 'anonymous') + t = anonFunctionHandleCallTime(); +else + t = simpleFunctionHandleCallTime(); +end + +t = max(t - emptyFunctionCallTime(), 0); + +function t = simpleFunctionHandleCallTime +% Return the estimated time required to call a simple function handle to a +% function with an empty body. +% +% A simple function handle fh has the form @foo. + +persistent sfhct +if ~isempty(sfhct) + t = sfhct; + return +end + +num_repeats = 101; +% num_repeats chosen to take about 100 ms, assuming that +% timeFunctionHandleCall() takes about 1 ms. +times = zeros(1, num_repeats); + +fh = @emptyFunction; + +% Warm up fh(). +fh(); +fh(); +fh(); + +for k = 1:num_repeats + times(k) = functionHandleTimeExperiment(fh); +end + +t = min(times); +sfhct = t; + +function t = anonFunctionHandleCallTime +% Return the estimated time required to call an anonymous function handle that +% calls a function with an empty body. +% +% An anonymous function handle fh has the form @(arg_list) expression. For +% example: +% +% fh = @(thetad) sin(thetad * pi / 180) + +persistent afhct +if ~isempty(afhct) + t = afhct; + return +end + +num_repeats = 101; +% num_repeats chosen to take about 100 ms, assuming that timeFunctionCall() +% takes about 1 ms. +times = zeros(1, num_repeats); + +fh = @() emptyFunction(); + +% Warm up fh(). +fh(); +fh(); +fh(); + +for k = 1:num_repeats + times(k) = functionHandleTimeExperiment(fh); +end + +t = min(times); +afhct = t; + +function t = functionHandleTimeExperiment(fh) +% Call the function handle fh 2000 times and return the average time required. + +% Record starting time. +tic(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); +fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); fh(); + +t = toc() / 2000; + +function t = emptyFunctionCallTime() +% Return the estimated time required to call a function with an empty body. + +persistent efct +if ~isempty(efct) + t = efct; + return +end + +% Warm up emptyFunction. +emptyFunction(); +emptyFunction(); +emptyFunction(); + +num_repeats = 101; +% num_repeats chosen to take about 100 ms, assuming that timeFunctionCall() +% takes about 1 ms. +times = zeros(1, num_repeats); + +for k = 1:num_repeats + times(k) = emptyFunctionTimeExperiment(); +end + +t = min(times); +efct = t; + +function t = emptyFunctionTimeExperiment() +% Call emptyFunction() 2000 times and return the average time required. + +% Record starting time. +tic(); + +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); 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emptyFunction(); emptyFunction(); emptyFunction(); +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); + +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); +emptyFunction(); 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+emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); +emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); emptyFunction(); + +t = toc() / 2000; + +% Copyright (c) 2010, The MathWorks, Inc. +% All rights reserved. +% +% Redistribution and use in source and binary forms, with or without +% modification, are permitted provided that the following conditions are +% met: +% +% * Redistributions of source code must retain the above copyright +% notice, this list of conditions and the following disclaimer. +% * Redistributions in binary form must reproduce the above copyright +% notice, this list of conditions and the following disclaimer in +% the documentation and/or other materials provided with the distribution +% * Neither the name of the The MathWorks, Inc. nor the names +% of its contributors may be used to endorse or promote products derived +% from this software without specific prior written permission. +% +% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +% AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +% IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +% ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE +% LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +% CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +% SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +% INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +% CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +% ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +% POSSIBILITY OF SUCH DAMAGE. diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/batch_landmarks_error.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/batch_landmarks_error.m new file mode 100644 index 0000000..52d7478 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/batch_landmarks_error.m @@ -0,0 +1,9 @@ +% batch test +clear; +name_list = {'constant','mountain','road2'}; + +for i=1:length(name_list) + name = name_list{i}; + % test_landmark_error; + test_distance_approximation; +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/batch_propagation_mesh.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/batch_propagation_mesh.m new file mode 100644 index 0000000..ec57209 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/batch_propagation_mesh.m @@ -0,0 +1,9 @@ +name_list = {'bunny','elephant-50kv','david50kf','david_head','hand'}; + +for nstart=[1 10 20 50 100] + for iname = 1:length(name_list) + name = name_list{iname}; + disp(['----> Processing mesh ' name ' - ' num2str(nstart) '.']); + test_propagation_mesh; + end +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/batch_shape_meshing.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/batch_shape_meshing.m new file mode 100644 index 0000000..ca25469 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/batch_shape_meshing.m @@ -0,0 +1,5 @@ +for use_adaptive=0:1 + for p = [200 400 1000] + test_shape_meshing; + end +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/callback_active_contour.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/callback_active_contour.m new file mode 100644 index 0000000..ed343d3 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/callback_active_contour.m @@ -0,0 +1,19 @@ +function y = callback_active_contour(x, options) + +% callback_active_contour - callback for conjugate gradient +% +% y = callback_active_contour(x, options); +% +% Copytight (c) 2007 Gabriel Peyre + +% norm of gradient +dt = options.dt; +n = options.n; +d = options.d; +x = reshape(x,n,n); +y = divgrad( divgrad(x,options)./repmat(d,[1 1 2]),options ); +if isempty(options.E) + y = x(:) - dt * d(:) .* y(:); +else + y = x(:) - dt * options.E(:) .* d(:) .* y(:); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/compile_mex.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/compile_mex.m new file mode 100644 index 0000000..b4a5542 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/compile_mex.m @@ -0,0 +1,41 @@ +% compile mex file +mex mex/perform_front_propagation_2d.cpp mex/perform_front_propagation_2d_mex.cpp mex/fheap/fib.cpp +mex mex/perform_front_propagation_3d.cpp mex/perform_front_propagation_3d_mex.cpp mex/fheap/fib.cpp +mex mex/perform_circular_front_propagation_2d.cpp mex/perform_front_propagation_2d.cpp mex/fheap/fib.cpp + +% Alec: these do not actually exist +% % anisotropic FM +% mex mex/anisotropic-fm//perform_front_propagation_anisotropic.cpp +% mex mex/anisotropic-fm-feth/fm2dAniso.cpp + +% compiling skeleton +mex mex/skeleton.cpp +% compiling distance transform +mex mex/eucdist2.c + +disp('Compiling perform_front_propagation_mesh, might time some time.'); +rep = 'mex/'; +files = { ... + 'perform_front_propagation_mesh.cpp', ... + 'gw/gw_core/GW_Config.cpp', ... + 'gw/gw_core/GW_FaceIterator.cpp', ... + 'gw/gw_core/GW_SmartCounter.cpp', ... + 'gw/gw_core/GW_VertexIterator.cpp', ... + 'gw/gw_core/GW_Face.cpp', ... + 'gw/gw_core/GW_Mesh.cpp', ... + 'gw/gw_core/GW_Vertex.cpp', ... + 'gw/gw_geodesic/GW_GeodesicFace.cpp', ... + 'gw/gw_geodesic/GW_GeodesicMesh.cpp', ... + 'gw/gw_geodesic/GW_GeodesicPath.cpp', ... + 'gw/gw_geodesic/GW_GeodesicPoint.cpp', ... + 'gw/gw_geodesic/GW_TriangularInterpolation_Cubic.cpp', ... + 'gw/gw_geodesic/GW_GeodesicVertex.cpp', ... + 'gw/gw_geodesic/GW_TriangularInterpolation_Linear.cpp', ... + 'gw/gw_geodesic/GW_TriangularInterpolation_Quadratic.cpp', ... +}; +str = 'mex '; +for i=1:length(files) + str = [str rep files{i} ' ']; +end +eval(str); + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_alpha_map.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_alpha_map.m new file mode 100644 index 0000000..02e65db --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_alpha_map.m @@ -0,0 +1,44 @@ +function [a,c] = compute_alpha_map(aname, options) + +% compute_alpha_map - set up alphamap +% +% [a,c] = compute_alpha_map(aname, options); +% +% aname is the name of the alphamap can be 'rampup', 'rampdown', 'gaussian'. +% +% a is an alphamap. +% +% Copyright (c) 2007 Gabriel Peyre + +if nargin<2 + cname = 'jet'; +end + +options.null = 0; +nalpha = getoptions(options, 'nalpha',256); +sigma = getoptions(options, 'sigma',.08); +c = getoptions(options, 'center',.4); + +x = linspace(0,1,nalpha); + +switch lower(aname) + case 'rampup' + a = x; + case 'rampdown' + a = 1-x; + case 'gaussian' + a = exp( -(x-c).^2 / (2*sigma^2) ); +end + +alphamap(a); + +cname = getoptions(options, 'cname', 'jet'); +% compute an associate colormap +c0 = eval([cname '(256);']); +nc = size(c0,1); +si = rescale(cumsum(a)); +s = linspace(0,1,nc); +c = zeros(length(si),3); +for i=1:3 + c(:,i) = interp1(s,c0(:,i),si); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_bending_invariant.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_bending_invariant.m new file mode 100644 index 0000000..ed691fa --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_bending_invariant.m @@ -0,0 +1,58 @@ +function vertex1 = compute_bending_invariant(vertex,faces,options) + +% compute_bending_invariant - compute bending invariants +% +% vertex1 = compute_bending_invariant(vertex,faces,options); +% +% Use out-of-sample interpolation to speed up the computation. +% The number of landmarks used is set by options.nlandmarks. +% +% Copyright (c) 2007 Gabriel Peyre + +options.null = 0; +nlandmarks = getoptions(options, 'nlandmarks', 200); +nverts = max(size(vertex)); +nlandmarks = min(nlandmarks,nverts); + +% use farthest point sampling to compute the landmarks +Dland = []; +for i=1:nlandmarks + if i==1 + landmarks = floor(rand*nverts)+1; + else + [tmp,landmarks(end+1)] = max( min(Dland, [], 2) ); + end + progressbar(i,nlandmarks); + [d,S,Q] = perform_fast_marching_mesh(vertex, faces, landmarks(i)); + Dland(:,end+1) = d(:); +end +fprintf('\n'); +% square distances +Dland = Dland.^2; +% perform isomap on the reduced set of points +D1 = Dland(landmarks,:); % reduced pairwise distances +D1 = (D1+D1')/2; % force symmetry +J = eye(nlandmarks) - ones(nlandmarks)/nlandmarks; % centering matrix +K = -1/2 * J*D1*J; % inner product matrix +% compute the rank-3 approximation of the inner product to compute embedding +opt.disp = 0; +[xy, val] = eigs(K, 3, 'LM', opt); +xy = xy .* repmat(1./sqrt(diag(val))', [nlandmarks 1]); +% interpolation on the full set of points +% extend the embeding using geodesic interpolation +vertex1 = zeros(nverts,3); +deltan = mean(Dland,1); +for x=1:nverts + deltax = Dland(x,:); + vertex1(x,:) = 1/2 * ( xy' * ( deltan-deltax )' )'; +end + +return; + +clf; +hold on; +plot_mesh(vertex, faces, options); +shading interp; camlight; +h = plot3(v(1,:), v(2,:), v(3,:), '.'); +set(h, 'MarkerSize', 20); +hold off; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_distance_landmark.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_distance_landmark.m new file mode 100644 index 0000000..2a49cf0 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_distance_landmark.m @@ -0,0 +1,114 @@ +function [D1,Z] = compute_distance_landmark(start_points, DL, landmark, landmark_method); + +% compute_distance_landmark - compute an heuristic using landmark points +% +% [D1,Z] = compute_distance_landmark(start_points, DL, landmark,landmark_method); +% +% DL(:,:,i) is the distance map to the ith landmark point. +% 'D1' is an approximation of the distance to 'start_point'. +% +% Copyright (c) 2005 Gabriel Peyré + + +if nargin<4 + landmark_method = 'align'; +end + +if size(landmark,1)~=2 + landmark = landmark'; +end + +n = size(DL,1); +p = size(landmark,2); + +if strcmp(landmark_method,'multiproxy0') + landmark_method = 'align'; +end + +if length(landmark_method)>10 && strcmp(landmark_method(1:10), 'multiproxy') + % order, aka number of ldm used + order = str2num(landmark_method(11:end)); + order = min(order, size(DL,3)); + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % PREPROCESSING + % distance between landmarks + DD = zeros(p,p); + for i=1:p + for j=1:p + DD(i,j) = min(DL(landmark(1,i),landmark(2,i),j), DL(landmark(1,j),landmark(2,j),i)); + end + end + % first get the k first distances + I = zeros(n,n,order); + DI = zeros(n,n,order); + DL1 = DL; % to avoid destructing DL + for i = 1:order + [DI(:,:,i),I(:,:,i)] = min(DL1,[], 3); + % put Inf values + for x=1:n + for y=1:n + DL1(x,y,I(x,y,i)) = Inf; + end + end + end + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % PROCESSING + D1 = zeros(n); + Z = zeros(n); + for i=1:order + % ith landmark for start point + Ii = I(start_points(1),start_points(2),i); + for j=1:order + % check I(start_point(1),start_point(2),i)<->I(:,:,j) + Di = DD( Ii, I(:,:,j) ); Di = reshape(Di,n,n); + Da = Di - DI(start_points(1),start_points(2),i) - DI(:,:,j); + D1 = max( D1, Da ); + m = find(D1 == Da); + Z(m) = i + (j-1)*order; + end + end + return; +end + +switch lower(landmark_method) + + case 'align' + T = repmat(DL(start_points(1),start_points(2),:), [n,n,1] ); + [D1,Z] = max( abs(T-DL), [], 3 ); + + case 'proxy' + % find voronoi tesselation + [V,I] = min(DL,[],3); + start_points_I = I(start_points(1),start_points(2)); + % corresponding centers (ie quantization of the position) + cx = reshape(landmark(1,I),n,n); + cy = reshape(landmark(2,I),n,n); + cxs = cx(start_points(1),start_points(2)); + cys = cy(start_points(1),start_points(2)); + % distance d(phi(start_point),phi(y)) + DD = DL( cxs,cys, I); + DD = reshape(DD,n,n); + % symmetrize : distance d(phi(y),phi(start_point)) + DD1 = matrix_sampling_get(DL(:,:,start_points_I), [cx(:)';cy(:)']); + DD1 = reshape(DD1,n,n); +% DD = ( DD + DD1 )/2; % pbm, this could break monotony + DD = min(DD,DD1); + % distance d(phi(x),x) + Dx = V(start_points(1),start_points(2)); + % formula d(x,y) \approx d(phi(x),phi(y))-d(phi(x),x)-d(phi(y),y) + D1 = max(DD-Dx-V,0); +end + +return; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% OLD CODE +% compute the approximated distance +D1 = zeros(n); +Z = zeros(n); +for i=1:n + for j=1:n + [D1(i,j),Z(i,j)] = max( abs( DL(start_points(1),start_points(2),:)-DL(i,j,:) ) ); + end +end + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_eccentricity_transform.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_eccentricity_transform.m new file mode 100644 index 0000000..222ad9b --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_eccentricity_transform.m @@ -0,0 +1,127 @@ +function [E,Ind] = compute_eccentricity_transform(M, options) + +% compute_eccentricity_transform - compute the eccentricity of a binary shape +% +% [E,Ind] = compute_eccentricity_transform(M, options); +% +% M is a binary shape, should be 0 outside the shape, and 1 inside. +% +% E is the s-eccentriciy of the shape, ie +% E(i) = (1/p sum_j d(i,j)^s)^(1/s) if s<0 +% E(i) = max_j d(i,j) if s=Inf +% where d(i,j) is the distance between points and j spans +% the set of p points on the boundary of M. +% The value of s is set in options.s. +% +% If options.metric='euclidean' then d(x,y) is the euclidean distance |x-y|. +% If options.metric='euclidean' then d(x,y) is the geodesic distance +% inside the shape. +% +% To reduce the number of samples used, you can set options.nb_samples (e.g. 300). +% +% For s==Inf only: +% Ind(i) is the index of the point j that reaches E(i)=d(i,Ind(i)). +% +% Copyright (c) 2006 Gabriel Peyr? + +options.null = 0; + +if size(M,3)>1 + E = []; + for i=1:size(M,3) + [E(:,:,i),Ind(:,:,i)] = compute_eccentricity_transform(M(:,:,i), options); + end + return; +end + +if isfield(options, 'nb_samples') + nb_samples = options.nb_samples; +else + nb_samples = 50; +end +if isfield(options, 's') + s = options.s; +else + s = Inf; +end +if isfield(options, 'metric') + metric = options.metric; +else + metric = 'geodesic'; +end + +n = size(M,1); +epsilon = 1e-10; + + +options.nb_iter_max = Inf; +options.Tmax = 2*n; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% do an initial central propagation in order to have only 1 connected component +W = epsilon+M; +I = find(M(:)==1); x = linspace(-1,1,n); +[Y,X] = meshgrid(x,x); +[tmp,c] = min( X(I).^2 + Y(I).^2 ); +[a b] = ind2sub([n n],I(c)); +options.constraint_map = []; +[d,tmp] = perform_fast_marching(W, [a;b], options); +I = find(d>1e5 | d<0); M(I) = 0; + +L = zeros(n)-Inf; L(M==1) = +Inf; +options.constraint_map = L; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% recompute potential +W = ones(n); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% compute sampling locations +if s==Inf + % points on the boundary + h = [0 1 0; 1 1 1; 0 1 0]; + h = h./sum(h(:)); + Mh = perform_convolution(M,h); + samples = find(Mh>0 & M==0); +else + % points inside + samples = find(M==1); +end + + +% perform sub-sampling +p = length(samples); +nb_samples = min(nb_samples,p); +sel = randperm(p); sel = sel(1:nb_samples); +samples = samples(sel); +[a b] = ind2sub([n n],samples); + +% perform FM for every point on the boudary +E = zeros(n); +Ind = zeros(n,n); +for i=1:nb_samples + progressbar(i,nb_samples); + start_points = [a(i);b(i)]; + if strcmp(metric, 'geodesic') + [d,tmp] = perform_fast_marching(W, start_points, options); + else + % compute euclidean distance + d = compute_euclidean_distance(M, start_points); + end + d(M==0) = 0; + d(d==Inf) = 0; + d(d>1e5) = 0; + if s==Inf + E = max(E,d); + Ind(E==d) = i; + else + E = E + d.^s; + end +end +if s~=Inf + E = (E/nb_samples).^(1/s); +end + +if s==Inf + Ind = samples(Ind); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_edge_energy.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_edge_energy.m new file mode 100644 index 0000000..198f0e6 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_edge_energy.m @@ -0,0 +1,76 @@ +function W = compute_edge_energy(M,s,epsi, center_point) + +% compute_edge_energy - compute an energy for fast marching. +% +% W = compute_edge_energy(M,s,epsi); +% +% W is the speed function for the front propagation +% (should be high in the area of strong gradient). +% The formula is : +% +% 1/W(x) = 1/(1 + |grad(M*G_s)|) + epsi +% +% where G_s is a gaussian smoothing of width s. +% +% Copyright (c) 2005 Gabriel PeyrŽ + +if nargin<3 + epsi = 0.05; +end +if nargin<2 + s = 3; +end + +M = rescale(M); +s = round(s); + +if ndims(M)==2 + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % 2D + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % smooth a bit +% h = ones(s)/s^2; + h = compute_gaussian_filter([15 15], s/(2*size(M,1)), size(M)); + G = conv2(M,h, 'same'); + grad = compute_grad(G); + G = 1./(1+sqrt(sum(grad.^2,3))) + epsi; + W = 1./G; % speed = 1/potential + % remove border artifacts + e = 1/(1+epsi); + W(1:s+2,:) = e; + W(:,1:s+2) = e; + W(end-s-1:end,:) = e; + W(:,end-s-1:end) = e; + + if nargin>3 + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % scale the metric to avoid shrinkage near zeros + m = size(M); + [Y,X] = meshgrid(1:m(2), 1:m(1)); + d = sqrt( (X-center_point(1)).^2 + (Y-center_point(2)).^2 ); + d(center_point(1),center_point(2)) = 1e-9; + W = W.*d; + end +elseif ndims(M)==3 + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % 3D + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + [a,b,c] = size(M); + % smooth a bit + G = smooth3(M,'box',s); + [gx,gy,gz] = gradient(G,1/a,1/b,1/c); + G = 1./(1+sqrt(gx.^2 + gy.^2 + gz.^2)) + epsi; + W = 1./G; % speed = 1/potential + + if nargin>3 + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % scale the metric to avoid shrinkage near zeros + m = size(M); + [X,Y,Z] = meshgrid(1:m(2), 1:m(1)); + d = sqrt( (X-center_point(1)).^2 + (Y-center_point(2)).^2 + (Y-center_point(3)).^2 ); + d(center_point(1),center_point(2),center_point(3)) = 1e-9; + W = W.*d; + end +else + error('Works only for 2D and 3D data.'); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_geodesic.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_geodesic.m new file mode 100644 index 0000000..7c9e2e2 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_geodesic.m @@ -0,0 +1,363 @@ +function path = compute_geodesic(D, x, options) + +% compute_geodesic - extract a discrete geodesic in 2D and 3D +% +% path = compute_geodesic(D,x,options); +% +% D is the distance map. +% x is the starting point. +% path is the shortest path between x and the starting point y (wich should +% satisfy D(y)=0). +% +% Set options.method = 'discrete' if you want to use a pure discrete +% gradient descent. +% +% Copyright (c) 2007 Gabriel Peyre + + +options.null = 0; +method = getoptions(options, 'method', 'continuous'); + +if strcmp(method, 'discrete') + path = compute_discrete_geodesic(D,x); + return; +end + +if size(x,1)>1 && size(x,2)>1 + % several geodesics + if size(x,1)>3 + x = x'; % probably user mistake of dimensions + end + path = {}; + for i=1:size(x,2) + path{end+1} = compute_geodesic(D, x(:,i), options); + end + return; +end + +if size(D,3)>1 + % 3D + path = extract_path_3d(D,x,options); +else + % 2D + path = extract_path_2d(D,x,options); +end + +if size(path,1)>size(path,2) + path = path'; +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function path = compute_discrete_geodesic(D,x) + +% compute_discrete_geodesic - extract a discrete geodesic in 2D and 3D +% +% path = compute_discrete_geodesic(D,x); +% +% Same as extract_path_xd but less precise and more robust. +% +% Copyright (c) 2007 Gabriel Peyre + +nd = 2; +if size(D,3)>1 + nd = 3; +end + +x = x(:); +path = round(x(1:nd)); + +% admissible moves +if nd==2 + dx = [1 -1 0 0]; + dy = [0 0 1 -1]; + dz = [0 0 0 0]; + d = cat(1,dx,dy); + vprev = D(x(1),x(2)); +else + dx = [1 -1 0 0 0 0]; + dy = [0 0 1 -1 0 0]; + dz = [0 0 0 0 1 -1]; + d = cat(1,dx,dy,dz); + vprev = D(x(1),x(2),x(3)); +end + +s = size(D); +while true + x0 = path(:,end); + x = repmat(x0,1,size(d,2))+d; + if nd==2 + I = find(x(1,:)>0 & x(2,:)>0 & x(1,:)<=s(1) & x(2,:)<=s(2) ); + else + I = find(x(1,:)>0 & x(2,:)>0 & x(3,:)>0 & x(1,:)<=s(1) & x(2,:)<=s(2) & x(3,:)<=s(3) ); + end + x = x(:,I); + if nd==2 + I = x(1,:) + (x(2,:)-1)*s(1); + else + I = x(1,:) + (x(2,:)-1)*s(1) + (x(3,:)-1)*s(1)*s(2); + end + [v,J] = min(D(I)); + x = x(:,J); + if v>vprev + return; + end + vprev = v; + path(:,end+1) = x; +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +function path = extract_path_2d(A,end_points,options) + +% extract_path_2d - extract the shortest path using +% a gradient descent. +% +% path = extract_path_2d(D,end_point,options); +% +% 'D' is the distance function. +% 'end_point' is ending point (should be integer). +% +% Copyright (c) 2004 Gabriel PeyrŽ + +options.null = 0; + +if isfield(options, 'trim_path') + trim_path = options.trim_path; +else + trim_path = 1; +end + +if isfield(options, 'stepsize') + stepsize = options.stepsize; +else + stepsize = 0.1; +end +if isfield(options, 'maxverts') + maxverts = options.maxverts; +else + maxverts = 10000; +end +str_options = [stepsize maxverts]; + +if size(end_points,1)~=2 + end_points = end_points'; +end +if size(end_points,1)~=2 + error('end_points should be of size 2xk'); +end + +% gradient computation +I = find(A==Inf); +J = find(A~=Inf); +A1 = A; A1(I) = mmax(A(J)); +global grad; +grad = compute_grad(A1); +grad = -perform_vf_normalization(grad); + +% path extraction +path = stream2(grad(:,:,2),grad(:,:,1),end_points(2,:),end_points(1,:), str_options); +for i=1:length(path) + path{i} = path{i}(:,2:-1:1); +end +if length(path)==1 + path = path{1}; +end + +if isfield(options, 'start_points') + start_points = options.start_points; +else + start_points = path(end,:); +end +start_points = start_points(:); + +if trim_path + % removing too verbose points + d = compute_distance_to_points(path', start_points); + % perform thresholding + T = mmax(d)/300^2; + I = find(d0.1 ) + path1 = stream3(-gy,-gx,-gz,v(2),v(1),v(3), options); + for i=1:length(path1) + path1{i} = path1{i}(:,[2:-1:1 3]); + end + if length(path)>=1 + path1 = path1{1}; + end + path = [path; path1]; +end + +if isfield(options, 'start_points') + start_points = options.start_points; +else + start_points = path(end,:); +end +start_points = start_points(:); + +if trim_path + % removing too verbose points + d = compute_distance_to_points(path', start_points); + % perform thresholding + T = mmax(d)/300^2; + I = find(d1 + path = {}; vlist = {}; plist = {}; + for i=1:length(x) + if length(x)>5 + if verb + progressbar(i,length(x)); + end + end + [path{i},vlist{i},plist{i}] = compute_geodesic_mesh(D, vertex, face, x(i), options); + end + return; +end + +method = getoptions(options, 'method', 'continuous'); + +[vertex,face] = check_face_vertex(vertex,face); + +if strcmp(method, 'discrete') + if isfield(options, 'v2v') + vring = options.v2v; + else + vring = compute_vertex_ring(face); + end + % path purely on edges + vlist = x; + vprev = D(x); + while true + x0 = vlist(end); + r = vring{x0}; + [v,J] = min(D(r)); + x = r(J); + if v>=vprev || v==0 + break; + end + vprev = v; + vlist(end+1) = x; + end + path = vertex(:,vlist); + plist = vlist*0+1; + return; +end + +%%% gradient descent on edges +% retrieve adjacency lists +m = size(face,2); n = size(vertex,2); +% precompute the adjacency datasets +if isfield(options, 'e2f') + e2f = options.e2f; +else + e2f = compute_edge_face_ring(face); +end +if isfield(options, 'v2v') + v2v = options.v2v; +else + v2v = compute_vertex_ring(face); +end +% initialize the paths +[w,f] = vertex_stepping(face, x, e2f, v2v, D); + +vlist = [x;w]; +plist = [1]; +Dprev = D(x); + +while true; + % current triangle + i = vlist(1,end); + j = vlist(2,end); + k = get_vertex_face(face(:,f),i,j); + a = D(i); b = D(j); c = D(k); + % adjacent faces + f1 = get_face_face(e2f, f, i,k); + f2 = get_face_face(e2f, f, j,k); + % compute gradient in local coordinates + x = plist(end); y = 1-x; + gr = [a-c;b-c]; + % twist the gradient + u = vertex(:,i) - vertex(:,k); + v = vertex(:,j) - vertex(:,k); + A = [u v]; A = (A'*A)^(-1); + gr = A*gr; + nx = gr(1); ny = gr(2); + % compute intersection point + etas = -y/ny; + etat = -x/nx; + s = x + etas*nx; + t = y + etat*ny; + if etas<0 && s>=0 && s<=1 && f1>0 + %%% CASE 1 %%% + plist(end+1) = s; + vlist(:,end+1) = [i k]; + % next face + f = f1; + elseif etat<0 && t>=0 && t<=1 && f2>0 + %%% CASE 2 %%% + plist(end+1) = t; + vlist(:,end+1) = [j k]; + % next face + f = f2; + else + %%% CASE 3 %%% + if a<=b + z = i; + else + z = j; + end + [w,f] = vertex_stepping( face, z, e2f, v2v, D); + vlist(:,end+1) = [z w]; + plist(end+1) = 1; + end + Dnew = D(vlist(1,end))*plist(end) + D(vlist(2,end))*(1-plist(end)); + if Dnew==0 || (Dprev==Dnew && length(plist)>1) + break; + end + Dprev=Dnew; +end + +v1 = vertex(:,vlist(1,:)); +v2 = vertex(:,vlist(2,:)); + +path = v1.*repmat(plist, [3 1]) + v2.*repmat(1-plist, [3 1]); + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function [w,f] = vertex_stepping(face, v, e2f, v2v, D) + +% adjacent vertex with minimum distance +[tmp,I] = min( D(v2v{v}) ); w = v2v{v}(I); +f1 = e2f(v,w); +f2 = e2f(w,v); +if f1<0 + f = f2; return; +end +if f2<0 + f = f1; return; +end +z1 = get_vertex_face(face(:,f1),v,w); +z2 = get_vertex_face(face(:,f2),v,w); +if D(z1)=2); + +[vx,vy] = ind2sub(size(Q)+1, I); +vx = clamp(vx,1,size(Q,1)); +vy = clamp(vy,1,size(Q,1)); +J = vx+(vy-1)*size(Q,1); + +% sort according to distance +[tmp,s] = sort(D(J), 1, 'descend'); +I = I(s); + +[vx,vy] = ind2sub(size(Q)+1, I); +vx = clamp(vx,1,size(Q,1)); +vy = clamp(vy,1,size(Q,1)); +vertex = cat(1,vx',vy'); + +V = sort(V, 1, 'descend'); +faces = V(1:3, I); + +if isempty(vertex) + % add farthest point + [tmp,I] = max( D(:) ); + [vx,vy] = ind2sub(size(D), I(1)); + vertex = [vx;vy]; + faces = [-1 -1 -1]'; +end + +I = find( faces(1,:)<0 | faces(2,:)<0 | faces(3,:)<0 ); +J = find( faces(1,:)>0 & faces(2,:)>0 & faces(3,:)>0 ); +faces = cat(2, faces(:,I), faces(:,J) ); diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_shape_boundary.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_shape_boundary.m new file mode 100644 index 0000000..9c13c67 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_shape_boundary.m @@ -0,0 +1,88 @@ +function bound = compute_shape_boundary(M) + +% compute_shape_boundary - extract boundary points +% +% bound = compute_shape_boundary(M); +% +% bound is oriented counter clockwise. +% This is the 8 connectivity boundary. +% +% Copyright (c) 2007 Gabriel Peyre + + +n = size(M,1); + +% enforce only 1 connected component +epsilon = 1e-10; +options.nb_iter_max = Inf; +options.Tmax = 2*n; +W = epsilon+M; +I = find(M(:)==1); x = linspace(-1,1,n); +[Y,X] = meshgrid(x,x); +[tmp,c] = min( X(I).^2 + Y(I).^2 ); +[a b] = ind2sub([n n],I(c)); +options.constraint_map = []; +[d,tmp] = perform_fast_marching(W, [a;b], options); +I = find(d>1e5 | d<0); M(I) = 0; + +% points on the boundary +if 0 + % outside the shape + h = [0 1 0; 1 1 1; 0 1 0]; + Mh = perform_convolution(M,h); + A = Mh>0 & M==0; +else + % inside the shape + h = ones(3); + Mh = perform_convolution(M,h); + A = Mh>0 & Mh<9 & M==1; +end + +% 8 connectivity +wx = [1 -1 0 0 -1 1 -1 1]; +wy = [0 0 1 -1 -1 1 1 -1]; + + +% order the points +a = find(A(:)==1); a = a(1); +[x,y] = ind2sub(size(A),a); + +boundx = x; +boundy = y; +A(x,y) = 0; + + +while sum(A(:))>0 + % find closest point + for k=1:8 + if x+wx(k)>0 && x+wx(k)<=n && y+wy(k)>0 && y+wy(k)<=n && A(x+wx(k),y+wy(k))>0 + x = x+wx(k); + y = y+wy(k); + break; + end + end + if A(x,y)==0 + % try to find the existing point the closest to the last one + I = find(A>0); + [xlist,ylist] = ind2sub(size(A),I); + d = (xlist-x).^2 + (ylist-y).^2; + [tmp,I] = min(d(:)); + x = xlist(I(1)); y = ylist(I(1)); + end + A(x,y) = A(x,y)-1; + boundx(end+1) = x; + boundy(end+1) = y; +end +bound = cat(2,boundx(:), boundy(:)); + + +% reorient the curve so that it is clockwise oriented +p = size(bound,1); +c = mean(bound,1); +v = bound - repmat(c, [p 1]); +% cross product +z = v(1:end-1,1).*v(2:end,2) - v(1:end-1,2).*v(2:end,1); +if sum(z<0)>sum(z<0) + % should flip the curve + bound = bound(end:-1:1,:); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_voronoi_triangulation.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_voronoi_triangulation.m new file mode 100644 index 0000000..efc93fa --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_voronoi_triangulation.m @@ -0,0 +1,124 @@ +function faces = compute_voronoi_triangulation(Q, vertex) + +% compute_voronoi_triangulation - compute a triangulation +% +% face = compute_voronoi_triangulation(Q); +% +% Q is a Voronoi partition function, computed using +% perform_fast_marching. +% face(:,i) is the ith face. +% +% Works in 2D and in 3D. +% +% Copyright (c) 2008 Gabriel Peyre + +d = nb_dims(Q); + +if d==2 + faces = compute_voronoi_triangulation_2d(Q, vertex); +elseif d==3 + faces = compute_voronoi_triangulation_3d(Q, vertex); +else + error('Works only for 2D or 3D data.'); +end + +return; + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function faces = compute_voronoi_triangulation_3d(Q, vertex) + +[dx dy dz] = meshgrid(0:1,0:1,0:1); +V = []; +for i=1:8 + v = Q(1+dx(i):end-1+dx(i),1+dy(i):end-1+dy(i),1+dz(i):end-1+dz(i)); + V = [V v(:)]; +end + +V = sort(V,2); +V = unique(V, 'rows'); +V = V( prod(V,2)>0 ,:); + +d = V(:,1)*0; +for i=1:7 + d = d+(V(:,i)~=V(:,i+1)); +end +if sum(d==4)>1 +% warning('Problem with triangulation.'); +end + +% split 5 folds into 2 +I = find(d==4); +faces = []; +for i=1:length(I) + v = unique(V(I(i),:)); + x = vertex(:,v); % points + % barycenter + a = sum( x, 2 ) / 5; + x = x-repmat(a, [1 size(x,2)]); + t = atan2(x(2,:),x(1,:)); + [tmp,s] = sort(t); + faces = [faces v( s([1 2 3 5]))']; + faces = [faces v( s([3 4 1 5]))']; + +end +% faces = [V(I,1:3);V(I,[3 4 1])]; + +% remaining triangles +V = V( d==3 ,:); +for i=1:size(V,1) + V(i,1:4) = unique(V(i,:)); +end +faces = [faces, V(:,1:4)']; + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function faces = compute_voronoi_triangulation_2d(Q, vertex) + +V = []; +v = Q(1:end-1,1:end-1); V = [V v(:)]; +v = Q(2:end,1:end-1); V = [V v(:)]; +v = Q(1:end-1,2:end); V = [V v(:)]; +v = Q(2:end,2:end); V = [V v(:)]; + +V = sort(V,2); +V = unique(V, 'rows'); +V = V( prod(V,2)>0 ,:); + + +d = (V(:,1)~=V(:,2)) + (V(:,2)~=V(:,3)) + (V(:,3)~=V(:,4)); +if sum(d==3)>1 + warning('Problem with triangulation.'); +end + +% split squares into 2 triangles +I = find(d==3); +faces = []; +for i=1:length(I) + v = V(I(i),:); + x = vertex(:,v); % points + % barycenter + a = sum( x, 2 ) / 4; + x = x-repmat(a, [1 size(x,2)]); + t = atan2(x(2,:),x(1,:)); + [tmp,s] = sort(t); + faces = [faces; v( s([1 2 3]))]; + faces = [faces; v( s([3 4 1]))]; + +end +% faces = [V(I,1:3);V(I,[3 4 1])]; + +% remaining triangles +V = V( d==2 ,:); +for i=1:size(V,1) + V(i,1:3) = unique(V(i,:)); +end +faces = [faces; V(:,1:3)]; + +% return in correct format +faces = faces'; diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_voronoi_triangulation_mesh.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_voronoi_triangulation_mesh.m new file mode 100644 index 0000000..e804d26 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/compute_voronoi_triangulation_mesh.m @@ -0,0 +1,34 @@ +function [vertex_voronoi,faces_voronoi] = compute_voronoi_triangulation_mesh(Q, vertex, faces) + +% compute_voronoi_triangulation_mesh - compute a triangulation +% +% [vertex_voronoi,face_voronoi] = compute_voronoi_triangulation_mesh(Q, vertex, faces); +% +% Q is a Voronoi partition function, computed using +% perform_fast_marching_mesh. +% +% Copyright (c) 2006 Gabriel Peyre + +if size(vertex,1)>size(vertex,2) + vertex = vertex'; +end +if size(faces,1)>size(faces,2) + faces = faces'; +end + +V = Q(faces); +V = sort(V,1); +V = unique(V', 'rows')'; +% V = V( prod(V,2)>0 ,:); + +d = (V(1,:)~=V(2,:)) + (V(2,:)~=V(3,:)); + +I = find(d==2); I = sort(I); +w = V(:,I); w = sort(w(:)); % index that are in the triangulation + +nverts = size(vertex,2); +z = zeros(nverts,1); +z(w) = (1:length(w))'; + +faces_voronoi = z(V( :,I )); +vertex_voronoi = vertex(:,w); diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/content.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/content.m new file mode 100644 index 0000000..9dca5eb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/content.m @@ -0,0 +1,376 @@ +%% Toolbox Fast Marching - A toolbox for Fast Marching and level sets computations +% +% Copyright (c) 2008 Gabriel Peyre +% + +%% +% The toolbox can be downloaded from Matlab Central +% http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=6110&objectType=FILE + +%% Introduction to Fast Marching and Level Sets + +%% +% The Fast Marching algorithm, introduced by J. Sethian (1996) is a +% numerical algorithm that is able to catch the viscosity solution +% of the Eikonal equation |norm(grad(D))=P|. The level set |{x \ F(x)=t}| +% can be seen as a front advancing with speed |P(x)|. + +%% +% The resulting function |D| is a distance function, and if the speed +% |P| is constant, it can be seen as the distance function to a set +% of starting points. + +%% +% The _Fast Marching_ is very similar to the _Dijkstra algorithm_ that +% finds shortest paths on graphs. Using a gradient descent of the +% distance function |D|, one is able to extract a good approximation +% of the shortest path (geodesic) in various settings (Euclidean for +% |P| constant, and a weighted Riemanian manifold with |P| varying). + +%% +% The main reference about the Fast Marching algorithm is the book + +%% +% +% * _Level Set Methods and Fast Marching Methods Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science_, J.A. Sethian, Cambridge University Press, 1999, Cambridge Monograph on Applied and Computational Mathematics + +%% +% A good review of the Fast Marching in 3D together with some applications +% can be found in + +%% +% +% * _Fast extraction of minimal paths in 3D images and application to virtual endoscopy_, T.Deschamps and L.D. Cohen, Medical Image Analysis, volume 5, Issue 4, December 2001. + +%% Setting-up the Path and Compiling the Mex Files. +% Befor begining, we add some directories to the path. + +path(path, 'toolbox/'); +path(path, 'data/'); + +%% +% The main computation are done in a mex file so it is quite fast +% (using a Fibonacci heap structure). To compile the mex files, +% simply run the following lines. + +% set up a C compiler +% mex -setup % uncomment this line +% compile +% compile_mex; % uncomment this line + +%% 2D Fast Marching Computations +% The toolbox allows to compute a distance map from a set of starting point +% using an arbitrary isotropic metric. This distance map is then used to +% compute geodesic paths from any point that joins the closest starting point, +% according to the geodesic distance. + +%% +% We first load a 2D map, and ask to the user for the starting point. + +n = 400; +[M,W] = load_potential_map('road2', n); +start_point = [16;219]; +end_point = [394;192]; +% You can use instead the function +% [start_point,end_point] = pick_start_end_point(M); + +%% +% We then perform the front propagation + +clear options; +options.nb_iter_max = Inf; +options.end_points = end_point; % stop propagation when end point reached +[D,S] = perform_fast_marching(W, start_point, options); +% nicde color for display +A = convert_distance_color(D); +imageplot({W A}, {'Potential map' 'Distance to starting point'}); +colormap gray(256); + +%% +% At last we can extract the geodesic curve, and display the result. + +gpath = compute_geodesic(D,end_point); +plot_fast_marching_2d(W,S,gpath,start_point,end_point, options); +title('Shortest path'); + +%% +% One can also use several starting and ending points +% and perform progressive propagation + +[M,W] = load_potential_map('mountain', n); +% random seeding of the points +nstart = 8; nend = 30; +start_points = round( rand(2,nstart)*(n-1)+1 ); +end_points = round( rand(2,nend)*(n-1)+1 ); +% FM computation +options.end_points = []; A = {}; +nlist = round( linspace(0.05,1,8)*n^2 ); +for i=1:length(nlist) + options.nb_iter_max = nlist(i); + [D,S] = perform_fast_marching(W, start_points, options); + mask = repmat(S==-1,[1 1 3]); + A{i} = convert_distance_color(D); + A{i} = mask.*A{i} + (1-mask) .* repmat(rescale(W),[1 1 3]); +end +clf; +imageplot(A, '', 2,4); + +% paths extractions +gpath = compute_geodesic(D,end_points); + +% display +clf; +subplot(1,2,1); +imageplot(W,'Potential map'); +subplot(1,2,2); +plot_fast_marching_2d(A{end},[],gpath,start_points,end_points, options); +title('Shortest paths'); + +%% 3D Volumetric Datasets + +%% +% You can load a 3D volume of data. + +% load the whole volume +load ../toolbox_fast_marching_data/brain1-crop-256.mat +% crop to retain only the central part +n = 100; +M = rescale( crop(M,n) ); +% display some horizontal slices +slices = round(linspace(10,n-10,6)); +Mlist = mat2cell( M(:,:,slices), n, n, ones(6,1)); +clf; imageplot(Mlist); + +%% +% You can also perform a volumetric display. By changing the value of +% |options.center|, you can display various level sets. + +clf; +options.center = .35; +imageplot(M,options); +title('center=.35'); + +%% 3D Fast Marching +% The procedure for volumetric FM is the same as for 2D FM. + +%% +% We ask to the user for some input points. + +delta = 5; +start_point = [91;15;delta]; +% You can use instead the function pick_start_end_point + + +%% +% We compute a potential that is high only very close +% to the value of |M| at the selected point. + +W = abs(M-M(start_point(1),start_point(2),start_point(3))); +W = rescale(-W,.001,1); +% perform the front propagation +options.nb_iter_max = Inf; +[D,S] = perform_fast_marching(W, start_point, options); +% display the distance map +D1 = rescale(D); D1(D>.7) = 0; +clf; imageplot(D1,options); +alphamap('rampup'); +colormap jet(256); + + +%% Fast Marching on 3D Meshes +% The FM algorithm also works on triangulated meshes (see Kimmel and Sethian paper). +% The metric is the metric induced by the embedding of the 3D surface in +% R^3, but one can also modulate this metric by a scalar metric map. + +%% +% The triangulated mesh is loaded from a |.off| file. You can see my +% graph toolbox for more functions for mesh processing. + +% load the mesh +[vertex,faces] = read_mesh('elephant-50kv'); +% display the mesh +clf; +plot_mesh(vertex, faces); +shading interp; + +%% +% Select some starting point and do the propagation. + +start_points = 20361; +[D,S,Q] = perform_fast_marching_mesh(vertex, faces, start_points, options); + +%% +% Extract some geodesics and display the result. + + +npaths = 30; nverts = size(vertex,2); +% select some points that are far enough from the starting point +[tmp,I] = sort( D(:) ); I = I(end:-1:1); I = I(1:round(nverts*1)); +end_points = floor( rand(npaths,1)*(length(I)-1) )+1; +end_points = I(end_points); +% precompute some usefull information about the mesh +options.v2v = compute_vertex_ring(faces); +options.e2f = compute_edge_face_ring(faces); +% extract the geodesics +options.method = 'continuous'; +options.verb = 0; +paths = compute_geodesic_mesh(D,vertex,faces, end_points, options); +% display +options.colorfx = 'equalize'; +plot_fast_marching_mesh(vertex,faces, D, paths, options); +shading interp; + +%% Fast Marching Inside a 2D Shape +% It is possible to retrict the propagation inside a 2D shape. + + +%% +% First we load a 2D shape, which is a BW image +n = 128; +M = rescale( load_image('chicken',n), 0,1 ); +M = double(M>0.5); + +%% +% Compute geodesic distance to a point inside the shape + +start_points = [65;65]; +% use constant metric +W = ones(n); +% create a mask to restrict propagation +L = zeros(n)-Inf; L(M==1) = +Inf; +options.constraint_map = L; +% do the FM computation +[D,S,Q] = perform_fast_marching(W, start_points, options); + +%% +% Select a set of end points, here we locate them on the boundary of the +% shape. + +bound = compute_shape_boundary(M); +nbound = size(bound,1); npaths = 40; +sel = round(linspace(1,nbound+1,npaths+1)); sel(end) = []; +end_points = bound(sel,:)'; + +%% +% Extract the geodesics from these ending points + +D1 = D; D1(M==0) = 1e9; +paths = compute_geodesic(D1,end_points); + +%% +% We display the result. + +ms = 30; lw = 3; % size for plot +% display +A = convert_distance_color(D); +clf; hold on; +imageplot(A); axis image; axis off; +for i=1:npaths + h = plot( paths{i}(2,:), paths{i}(1,:), 'k' ); + set(h, 'LineWidth', lw); + h = plot(end_points(2,i),end_points(1,i), '.b'); + set(h, 'MarkerSize', ms); +end +h = plot(start_points(2),start_points(1), '.r'); +set(h, 'MarkerSize', ms); +hold off; +colormap jet(256); +axis ij; + + +%% Farthest Point Sampling +% One can sample an image using a greedy algorithm that distribute, at each +% step, a new point that is located the farthest away from the previously +% sampled set of points. See the paper of Peyre and Cohen, IJCV. + +clear options; +n = 400; +[M,W] = load_potential_map('mountain', n); + +npoints_list = round(linspace(20,200,6)); +landmark = []; +options.verb = 0; +ms = 15; + +clf; +for i=1:length(npoints_list) + nbr_landmarks = npoints_list(i); + landmark = perform_farthest_point_sampling( W, landmark, nbr_landmarks-size(landmark,2), options ); + % compute the associated triangulation + [D,Z,Q] = perform_fast_marching(W, landmark); + % display sampling and distance function + D = perform_histogram_equalization(D,linspace(0,1,n^2)); + subplot(2,3,i); + hold on; + imageplot(D'); + plot(landmark(1,:), landmark(2,:), 'r.', 'MarkerSize', ms); + title([num2str(nbr_landmarks) ' points']); + hold off; + colormap jet(256); +end + +%% Anisotropic Fast Marching +% The toolbox also implements anisotropic FM, where at each location, the +% metric is given by a tensor field. + +%% +% We first create a 2D vector field. The tensor field is aligned with +% this tensor field. + +n = 200; +U = randn(n,n,2); +options.bound = 'per'; +U = perform_vf_normalization( perform_blurring(U, 30,options) ); + +%% +% Create a set of ending points, located on the boundary of the image. + +start_points = [n;n]/2; +% end points on the boundary +t = 1:n; +x = [t t*0+n t(end-1:-1:1) t*0+1]; +y = [t*0+1 t t*0+n t(end-1:-1:1)]; +npaths = 50; +s = round(linspace( 1,length(x), npaths+1) ); s(end) = []; +end_points = cat(1, x(s),y(s)); + + +%% +% We build a metric with an increasing level of anisotropy, and perform the +% FM each time. + + +% test for various degree of anisotropy +aniso_list = [.01 .05 .1 .2 .5 1]; +ms = 30; lw = 3; % display params +clf; +for ianiso = 1:length(aniso_list) + % build the tensor field + aniso = aniso_list(ianiso); + V = cat(3, -U(:,:,2), U(:,:,1)); % orthogonal vector + T = perform_tensor_recomp(U,V, ones(n),ones(n)*aniso ); + % propagation + [D,S,Q] = perform_fast_marching(T, start_points); + % for sexy display + D1 = perform_histogram_equalization(D, linspace(0,1,n^2)); + % extract tons of geodesics + paths = compute_geodesic(D,end_points, options); + % display + subplot(2,3,ianiso); + hold on; + imageplot(D1); axis image; axis off; colormap jet(256); + title(['Anisotropy=' num2str(1-aniso)]); + for i=1:npaths + end_point = end_points(:,i); + h = plot( paths{i}(2,:), paths{i}(1,:), 'k' ); + set(h, 'LineWidth', lw); + h = plot(end_point(2),end_point(1), '.b'); + set(h, 'MarkerSize', ms); + end + h = plot(start_points(2),start_points(1), '.r'); + set(h, 'MarkerSize', ms); + hold off; + colormap jet(256); + axis ij; +end + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/convert_distance_color.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/convert_distance_color.m new file mode 100644 index 0000000..a31e270 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/convert_distance_color.m @@ -0,0 +1,25 @@ +function v = convert_distance_color(D,M) + +% convert_distance_color - convert a distance function to a color image +% +% A = convert_distance_color(D,M); +% +% M is optional: background image. +% +% Very useful to save a result of distance computation to an image file +% with nice colors. +% +% Copyright (c) 2007 Gabriel Peyre + +n = size(D,1); +if nargin<2 + M = ones(n); +end + +c = jet(256); +U = D; U(U==Inf) = min(U(U~=Inf)); +I = floor(255*rescale(U))+1; +v = c(I(:),:); v = reshape(v, [n n 3]); +A = repmat(rescale(M), [1 1 3]); +B = repmat(D, [1 1 3]); +v(B==Inf) = A(B==Inf); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/data/.svn/all-wcprops b/matlab/external/gptoolbox/external/toolbox_fast_marching/data/.svn/all-wcprops new file mode 100644 index 0000000..5a33457 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/data/.svn/all-wcprops @@ -0,0 +1,95 @@ +K 25 +svn:wc:ra_dav:version-url +V 70 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b/matlab/external/gptoolbox/external/toolbox_fast_marching/data/giraffe.gif new file mode 100644 index 0000000..a39d36b Binary files /dev/null and b/matlab/external/gptoolbox/external/toolbox_fast_marching/data/giraffe.gif differ diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/data/image01.tiff b/matlab/external/gptoolbox/external/toolbox_fast_marching/data/image01.tiff new file mode 100644 index 0000000..3162fa0 Binary files /dev/null and b/matlab/external/gptoolbox/external/toolbox_fast_marching/data/image01.tiff differ diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/data/mm.png b/matlab/external/gptoolbox/external/toolbox_fast_marching/data/mm.png new file mode 100644 index 0000000..27c3d45 Binary files /dev/null and b/matlab/external/gptoolbox/external/toolbox_fast_marching/data/mm.png differ diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/data/mountain.png 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b/matlab/external/gptoolbox/external/toolbox_fast_marching/data/room1.png new file mode 100644 index 0000000..fdb5498 Binary files /dev/null and b/matlab/external/gptoolbox/external/toolbox_fast_marching/data/room1.png differ diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/data/stephanodiscusniagarae.jpg b/matlab/external/gptoolbox/external/toolbox_fast_marching/data/stephanodiscusniagarae.jpg new file mode 100644 index 0000000..c681266 Binary files /dev/null and b/matlab/external/gptoolbox/external/toolbox_fast_marching/data/stephanodiscusniagarae.jpg differ diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/display_eccentricity.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/display_eccentricity.m new file mode 100644 index 0000000..a134f5f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/display_eccentricity.m @@ -0,0 +1,30 @@ +function display_eccentricity(E, mode) + +% display_eccentricity - display the transform +% +% display_eccentricity(E, mode); +% +% mode==1 for colors +% mode==2 for level sets +% +% Copyright (c) 2006 Gabriel Peyré + +if nargin<2 + mode = 1; +end + + +if mode==1 + I = find(E>0); A = E*0+256; + A(I) = rescale(E(I),1,255); + image(A); + a = jet(256); + a(end,:) = [1 1 1]; + colormap(a); + axis image; axis off; +else + s = unique(E(:)); I = find(s>0.1); s = s(I); + x = linspace(s(1), s(end), 40); + contour(E, x); + axis image; axis off; axis ij; +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/display_segmentation.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/display_segmentation.m new file mode 100644 index 0000000..0cd7f77 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/display_segmentation.m @@ -0,0 +1,51 @@ +function display_segmentation(B,M) + +% display_segmentation - display a level set segmentation +% +% display_segmentation(B,M); +% +% B should be <0 inside the region of interest +% M is a background image +% +% See also: perform_active_contour +% +% Copyright (c) 2007 Gabriel Peyre + +if min(B(:))>=0 + if max(B(:))>2 + % more that one phase + B = cat(3, B>2, mod(B,2) ); + end + for k=1:size(B,3) + B(:,:,k) = rescale(B(:,:,k),-1,1); + end +end + +nb_phase = size(B,3); +n = size(B,1); + +M = rescale(M); + +if nb_phase==1 + M1 = M; + M1(B<0) = M1(B<0)*.2; + M = cat(3,M,M1,M1); +elseif nb_phase==2 + % 2 phases + M1 = M; M2 = M; + M1(B(:,:,1)<0) = M1(B(:,:,1)<0)*.2; + M2(B(:,:,2)<0) = M2(B(:,:,2)<0)*.2; + M = cat(3,M,M1,M2); +else + error('Only 1/2 phase accepted'); +end + +hold on; +imagesc(M); axis image; axis off; axis([1 n 1 n]); +for k=1:nb_phase + [c,h] = contour(B(:,:,k),[0 0], 'r'); + set(h, 'LineWidth', 2); +end +hold off; +colormap gray(256); +axis ij; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/divgrad.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/divgrad.m new file mode 100644 index 0000000..ecb6f8b --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/divgrad.m @@ -0,0 +1,68 @@ +function G = divgrad(M,options) + +% divgrad - compute either gradient or divergence. +% +% G = divgrad(M); +% +% if M is a 2D array, compute gradient, +% if M is a 3D array, compute divergence. +% Use centered finite differences. +% +% Copyright (c) 2007 Gabriel Peyre + +options.null = 0; +if size(M,3)==2 + G = mydiv(M,options); +else + G = mygrad(M,options); +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function d = mydiv(g,options) + +bound = getoptions(options, 'bound', 'sym'); + +n = size(g,1); +d = zeros(n); + +if strcmp(bound,'sym') + d(2:end-1,:) = d(2:end-1,:) + ( g(3:end,:,1)-g(1:end-2,:,1) )/2; + d(1,:) = d(1,:) + g(2,:,1)-g(1,:,1); + d(end,:) = d(end,:) + g(end,:,1)-g(end-1,:,1); + + d(:,2:end-1) = d(:,2:end-1) + ( g(:,3:end,2)-g(:,1:end-2,2) )/2; + d(:,1) = d(:,1) + g(:,2,2)-g(:,1,2); + d(:,end) = d(:,end) + g(:,end,2)-g(:,end-1,2); +else + sel1 = [2:n 1]; + sel2 = [n 1:n-1]; + d = g(sel1,:,1)-g(sel2,:,1) + g(:,sel1,2)-g(:,sel2,2); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function g = mygrad(M,options) + +bound = getoptions(options, 'bound', 'sym'); + +n = size(M,1); +g = zeros(n,n,2); + +if strcmp(bound,'sym') + % on x + g(2:end-1,:,1) = ( M(3:end,:)-M(1:end-2,:) )/2; + g(1,:,1) = M(2,:)-M(1,:); + g(end,:,1) = M(end,:)-M(end-1,:); + % on y + g(:,2:end-1,2) = ( M(:,3:end)-M(:,1:end-2,:) )/2; + g(:,1,1) = M(2,:)-M(1,:); + g(:,end,1) = M(:,end)-M(:,end-1); +else + sel1 = [2:n 1]; + sel2 = [n 1:n-1]; + g = cat( 3, M(sel1,:)-M(sel2,:), M(:,sel1)-M(:,sel2) )/2; +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/eucdist2.dll b/matlab/external/gptoolbox/external/toolbox_fast_marching/eucdist2.dll new file mode 100644 index 0000000..f27ac0d Binary files /dev/null and b/matlab/external/gptoolbox/external/toolbox_fast_marching/eucdist2.dll differ diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/eucdist2.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/eucdist2.m new file mode 100644 index 0000000..6d2e299 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/eucdist2.m @@ -0,0 +1,18 @@ +function varargout = eucdist2(varargin) +%EUCDIST2 Compute 2-D Euclidean distance transform. +% D = EUCDIST2(BW) computes the Euclidean distance transform on the input +% binary image BW, which must be 2-D. Specifically, it computes the +% distance to the nearest nonzero-valued pixel. +% +% [D,L] = EUCDIST2(BW) returns a linear index array L representing a +% nearest-neighbor map. L(r,c) is the linear index of the nonzero-valued +% element of BW closest to (r,c). +% +% See also BWDIST. + +% Copyright 1993-2003 The MathWorks, Inc. +% $Revision: 1.6.4.2 $ $Date: 2003/08/01 18:11:05 $ + +%#mex + +error('Images:eucdist2:missingMEXFile', 'Missing MEX-file: %s', mfilename); diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/eucdist2.mexglx b/matlab/external/gptoolbox/external/toolbox_fast_marching/eucdist2.mexglx new file mode 100644 index 0000000..da0ccc2 Binary files /dev/null and b/matlab/external/gptoolbox/external/toolbox_fast_marching/eucdist2.mexglx differ diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/generate_constrained_map.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/generate_constrained_map.m new file mode 100644 index 0000000..ad8b501 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/generate_constrained_map.m @@ -0,0 +1,43 @@ +function M1 = generate_constrained_map(M,nb_theta,obj,theta_max) + +% generate_constrained_map - generate a constraint map from a 2D map. +% +% M1 = generate_constrained_map(M,nb_theta,obj); +% +% M is the 2D map (binary image, 0 for background, 1 for objects). +% M1 is a 3D array, M1(:,:,k) is the 2D map for orientation +% theta=(t-1)*2*pi/nb_theta. +% obj is the size of the size of the rectangle object that moves +% (eg. obj=[0.2,0.05]). +% +% Copyright (c) 2004 Gabriel Peyré + +if nargin<2 + nb_theta = 10; +end + +if nargin<3 + obj = [0.2,0.05]; +end + +if nargin<4 + theta_max = 2*pi; +end + +[n,p] = size(M); +M1 = zeros(n,p,nb_theta); + +w = max(obj); +nw = norm(obj)*n+4; +nw = round((nw-1)/2)*2+1; + +x = (-(nw-1)/2:(nw-1)/2)*1/(n-1); +[Y,X] = meshgrid(x,x); +for t = 1:nb_theta + theta = theta_max*(t-1)/nb_theta; + R = [cos(theta) sin(theta); -sin(theta) cos(theta)]; + Xr = X*cos(theta) + Y*sin(theta); + Yr =-X*sin(theta) + Y*cos(theta); + SE = (abs(Xr) + + + + + + Toolbox Fast Marching - A toolbox for Fast Marching and level sets computations + + + + + + +
+

Toolbox Fast Marching - A toolbox for Fast Marching and level sets computations

+ +

Copyright (c) 2008 Gabriel Peyre

+ +

Contents

+ +

The toolbox can be downloaded from Matlab Central http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=6110&objectType=FILE

+

Introduction to Fast Marching and Level Sets

+

The Fast Marching algorithm, introduced by J. Sethian (1996) is a numerical algorithm that is able to catch the viscosity + solution of the Eikonal equation norm(grad(D))=P. The level set {x \ F(x)=t} can be seen as a front advancing with speed P(x). +

+

The resulting function D is a distance function, and if the speed P is constant, it can be seen as the distance function to a set of starting points. +

+

The Fast Marching is very similar to the Dijkstra algorithm that finds shortest paths on graphs. Using a gradient descent of the distance function D, one is able to extract a good approximation of the shortest path (geodesic) in various settings (Euclidean for P constant, and a weighted Riemanian manifold with P varying). +

+

The main reference about the Fast Marching algorithm is the book

+
+
    +
  • Level Set Methods and Fast Marching Methods Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, + and Materials Science, J.A. Sethian, Cambridge University Press, 1999, Cambridge Monograph on Applied and Computational Mathematics +
    • +
+
+

A good review of the Fast Marching in 3D together with some applications can be found in

+
+
    +
  • Fast extraction of minimal paths in 3D images and application to virtual endoscopy, T.Deschamps and L.D. Cohen, Medical Image Analysis, volume 5, Issue 4, December 2001. +
    • +
+
+

Setting-up the Path and Compiling the Mex Files.

+

Befor begining, we add some directories to the path.

path(path, 'toolbox/');
+path(path, 'data/');
+

The main computation are done in a mex file so it is quite fast (using a Fibonacci heap structure). To compile the mex files, + simply run the following lines. + 

% set up a C compiler
+% mex -setup % uncomment this line
+% compile
+% compile_mex; % uncomment this line
+

2D Fast Marching Computations

+

The toolbox allows to compute a distance map from a set of starting point using an arbitrary isotropic metric. This distance + map is then used to compute geodesic paths from any point that joins the closest starting point, according to the geodesic + distance. +

+

We first load a 2D map, and ask to the user for the starting point.

n = 400;
+[M,W] = load_potential_map('road2', n);
+start_point = [16;219];
+end_point = [394;192];
+% You can use instead the function
+% [start_point,end_point] = pick_start_end_point(M);
+

We then perform the front propagation

clear options;
+options.nb_iter_max = Inf;
+options.end_points = end_point; % stop propagation when end point reached
+[D,S] = perform_fast_marching(W, start_point, options);
+% nicde color for display
+A = convert_distance_color(D);
+imageplot({W A}, {'Potential map' 'Distance to starting point'});
+colormap gray(256);
+

At last we can extract the geodesic curve, and display the result.

gpath = compute_geodesic(D,end_point);
+plot_fast_marching_2d(W,S,gpath,start_point,end_point, options);
+title('Shortest path');
+

One can also use several starting and ending points and perform progressive propagation

[M,W] = load_potential_map('mountain', n);
+% random seeding of the points
+nstart = 8; nend = 30;
+start_points = round( rand(2,nstart)*(n-1)+1 );
+end_points = round( rand(2,nend)*(n-1)+1 );
+% FM computation
+options.end_points = []; A = {};
+nlist = round( linspace(0.05,1,8)*n^2 );
+for i=1:length(nlist)
+    options.nb_iter_max = nlist(i);
+    [D,S] = perform_fast_marching(W, start_points, options);
+    mask = repmat(S==-1,[1 1 3]);
+    A{i} = convert_distance_color(D);
+    A{i} = mask.*A{i} + (1-mask) .* repmat(rescale(W),[1 1 3]);
+end
+clf;
+imageplot(A, '', 2,4);
+
+% paths extractions
+gpath = compute_geodesic(D,end_points);
+
+% display
+clf;
+subplot(1,2,1);
+imageplot(W,'Potential map');
+subplot(1,2,2);
+plot_fast_marching_2d(A{end},[],gpath,start_points,end_points, options);
+title('Shortest paths');
+

3D Volumetric Datasets

+

You can load a 3D volume of data.

% load the whole volume
+load ../toolbox_fast_marching_data/brain1-crop-256.mat
+% crop to retain only the central part
+n = 100;
+M = rescale( crop(M,n) );
+% display some horizontal slices
+slices = round(linspace(10,n-10,6));
+Mlist = mat2cell( M(:,:,slices), n, n, ones(6,1));
+clf; imageplot(Mlist);
+

You can also perform a volumetric display. By changing the value of options.center, you can display various level sets. + 

clf;
+options.center = .35;
+imageplot(M,options);
+title('center=.35');
+

3D Fast Marching

+

The procedure for volumetric FM is the same as for 2D FM.

+

We ask to the user for some input points.

delta = 5;
+start_point = [91;15;delta];
+% You can use instead the function pick_start_end_point
+

We compute a potential that is high only very close to the value of M at the selected point. + 

W = abs(M-M(start_point(1),start_point(2),start_point(3)));
+W = rescale(-W,.001,1);
+% perform the front propagation
+options.nb_iter_max = Inf;
+[D,S] = perform_fast_marching(W, start_point, options);
+% display the distance map
+D1 = rescale(D); D1(D>.7) = 0;
+clf; imageplot(D1,options);
+alphamap('rampup');
+colormap jet(256);
+

Fast Marching on 3D Meshes

+

The FM algorithm also works on triangulated meshes (see Kimmel and Sethian paper). The metric is the metric induced by the + embedding of the 3D surface in R^3, but one can also modulate this metric by a scalar metric map. +

+

The triangulated mesh is loaded from a .off file. You can see my graph toolbox for more functions for mesh processing. + 

% load the mesh
+[vertex,faces] = read_mesh('elephant-50kv');
+% display the mesh
+clf;
+plot_mesh(vertex, faces);
+shading interp;
+

Select some starting point and do the propagation.

start_points = 20361;
+[D,S,Q] = perform_fast_marching_mesh(vertex, faces, start_points, options);
+

Extract some geodesics and display the result.

npaths = 30; nverts = size(vertex,2);
+% select some points that are far enough from the starting point
+[tmp,I] = sort( D(:) ); I = I(end:-1:1); I = I(1:round(nverts*1));
+end_points = floor( rand(npaths,1)*(length(I)-1) )+1;
+end_points = I(end_points);
+% precompute some usefull information about the mesh
+options.v2v = compute_vertex_ring(faces);
+options.e2f = compute_edge_face_ring(faces);
+% extract the geodesics
+options.method = 'continuous';
+options.verb = 0;
+paths = compute_geodesic_mesh(D,vertex,faces, end_points, options);
+% display
+options.colorfx = 'equalize';
+plot_fast_marching_mesh(vertex,faces, D, paths, options);
+shading interp;
+

Fast Marching Inside a 2D Shape

+

It is possible to retrict the propagation inside a 2D shape.

+

First we load a 2D shape, which is a BW image

n = 128;
+M = rescale( load_image('chicken',n), 0,1 );
+M = double(M>0.5);
+

Compute geodesic distance to a point inside the shape

start_points = [65;65];
+% use constant metric
+W = ones(n);
+% create a mask to restrict propagation
+L = zeros(n)-Inf; L(M==1) = +Inf;
+options.constraint_map = L;
+% do the FM computation
+[D,S,Q] = perform_fast_marching(W, start_points, options);
+

Select a set of end points, here we locate them on the boundary of the shape.

bound = compute_shape_boundary(M);
+nbound = size(bound,1); npaths = 40;
+sel = round(linspace(1,nbound+1,npaths+1)); sel(end) = [];
+end_points = bound(sel,:)';
+

Extract the geodesics from these ending points

D1 = D; D1(M==0) = 1e9;
+paths = compute_geodesic(D1,end_points);
+

We display the result.

ms = 30; lw = 3; % size for plot
+% display
+A = convert_distance_color(D);
+clf; hold on;
+imageplot(A); axis image; axis off;
+for i=1:npaths
+    h = plot( paths{i}(2,:), paths{i}(1,:), 'k' );
+    set(h, 'LineWidth', lw);
+    h = plot(end_points(2,i),end_points(1,i), '.b');
+    set(h, 'MarkerSize', ms);
+end
+h = plot(start_points(2),start_points(1), '.r');
+set(h, 'MarkerSize', ms);
+hold off;
+colormap jet(256);
+axis ij;
+

Farthest Point Sampling

+

One can sample an image using a greedy algorithm that distribute, at each step, a new point that is located the farthest away + from the previously sampled set of points. See the paper of Peyre and Cohen, IJCV. + 

clear options;
+n = 400;
+[M,W] = load_potential_map('mountain', n);
+
+npoints_list = round(linspace(20,200,6));
+landmark = [];
+options.verb = 0;
+ms = 15;
+
+clf;
+for i=1:length(npoints_list)
+    nbr_landmarks = npoints_list(i);
+    landmark = perform_farthest_point_sampling( W, landmark, nbr_landmarks-size(landmark,2), options );
+    % compute the associated triangulation
+    [D,Z,Q] = perform_fast_marching(W, landmark);
+    % display sampling and distance function
+    D = perform_histogram_equalization(D,linspace(0,1,n^2));
+    subplot(2,3,i);
+    hold on;
+    imageplot(D');
+    plot(landmark(1,:), landmark(2,:), 'r.', 'MarkerSize', ms);
+    title([num2str(nbr_landmarks) ' points']);
+    hold off;
+    colormap jet(256);
+end
+

Anisotropic Fast Marching

+

The toolbox also implements anisotropic FM, where at each location, the metric is given by a tensor field.

+

We first create a 2D vector field. The tensor field is aligned with this tensor field.

n = 200;
+U = randn(n,n,2);
+options.bound = 'per';
+U = perform_vf_normalization( perform_blurring(U, 30,options) );
+

Create a set of ending points, located on the boundary of the image.

start_points = [n;n]/2;
+% end points on the boundary
+t = 1:n;
+x = [t t*0+n t(end-1:-1:1) t*0+1];
+y = [t*0+1 t t*0+n t(end-1:-1:1)];
+npaths = 50;
+s = round(linspace( 1,length(x), npaths+1) ); s(end) = [];
+end_points = cat(1, x(s),y(s));
+

We build a metric with an increasing level of anisotropy, and perform the FM each time.

% test for various degree of anisotropy
+aniso_list = [.01 .05 .1 .2 .5 1];
+ms = 30; lw = 3; % display params
+clf;
+for ianiso = 1:length(aniso_list)
+    % build the tensor field
+    aniso = aniso_list(ianiso);
+    V = cat(3, -U(:,:,2), U(:,:,1)); % orthogonal vector
+    T = perform_tensor_recomp(U,V, ones(n),ones(n)*aniso );
+    % propagation
+    [D,S,Q] = perform_fast_marching(T, start_points);
+    % for sexy display
+    D1 = perform_histogram_equalization(D, linspace(0,1,n^2));
+    % extract tons of geodesics
+    paths = compute_geodesic(D,end_points, options);
+    % display
+    subplot(2,3,ianiso);
+    hold on;
+    imageplot(D1); axis image; axis off; colormap jet(256);
+    title(['Anisotropy=' num2str(1-aniso)]);
+    for i=1:npaths
+        end_point = end_points(:,i);
+        h = plot( paths{i}(2,:), paths{i}(1,:), 'k' );
+        set(h, 'LineWidth', lw);
+        h = plot(end_point(2),end_point(1), '.b');
+        set(h, 'MarkerSize', ms);
+    end
+    h = plot(start_points(2),start_points(1), '.r');
+    set(h, 'MarkerSize', ms);
+    hold off;
+    colormap jet(256);
+    axis ij;
+end
+


+ Copyright ® 2008 Gabriel Peyre

+
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+ + + + + + +

+ + + + + + + + + + + + + + + + + + + h1 + h2 + + + + + + + + + + + + + + + + + + + + + +

+
+ Copyright ® 2008 Gabriel Peyre
+

+ +
+ + + + + + + + + + + + + + + + +

Contents

+
    + + +
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+ + + + + +

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    +     + + + + + + + +
    +     +     +     + + + + + + + + + + + + + + + + + + + + + +##### SOURCE BEGIN ##### + +##### SOURCE END ##### + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +     diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/html/.svn/text-base/style.css.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/html/.svn/text-base/style.css.svn-base new file mode 100644 index 0000000..a97ab16 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/html/.svn/text-base/style.css.svn-base @@ -0,0 +1,93 @@ +body { + font-family: verdana; + font-weight : normal; + background-color: white; + /* matlab */ + margin:20px; +} + +h1 { + color: #000099; + font-size: xx-large; + text-align: center; +} + +h2 { + color: #000099; + font-size: medium; +} + +a:visited { + color : #330000; + font-weight : none; + text-decoration : none; +} +a:active { + color : #000033; + text-decoration : none; +} +a:hover { + color : #EE1111; + font-weight : bold; + text-decoration : underline; +} + +a:link { + color : #000033; + font-weight : none; + text-decoration : none; +} + + +/* matlab specifics */ + +pre.codeinput { + background: #EEEEEE; + padding: 10px; +} +@media print { + pre.codeinput {word-wrap:break-word; width:100%;} +} + +span.keyword {color: #0000FF} +span.comment {color: #228B22} +span.string {color: #A020F0} +span.untermstring {color: #B20000} +span.syscmd {color: #B28C00} + +pre.codeoutput { + color: #666666; + padding: 10px; +} + +pre.error { + color: red; +} + +p.footer { + text-align: right; + font-size: xx-small; + font-weight: lighter; + font-style: italic; + color: gray; +} + +/* MATLAB STYLE */ +/* +body { + background-color: white; + margin:10px; +} + + +p,h1,h2,div.content div { +} + +p.footer { + text-align: right; + font-size: xx-small; + font-weight: lighter; + font-style: italic; + color: gray; +} +*/ \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/html/content.html b/matlab/external/gptoolbox/external/toolbox_fast_marching/html/content.html new file mode 100644 index 0000000..9c592c2 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/html/content.html @@ -0,0 +1,676 @@ + + + + + + + + Toolbox Fast Marching - A toolbox for Fast Marching and level sets computations + + + + + + +
    +

    Toolbox Fast Marching - A toolbox for Fast Marching and level sets computations

    + +

    Copyright (c) 2008 Gabriel Peyre

    +     +

    Contents

    + +

    The toolbox can be downloaded from Matlab Central http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=6110&objectType=FILE

    +

    Introduction to Fast Marching and Level Sets

    +

    The Fast Marching algorithm, introduced by J. Sethian (1996) is a numerical algorithm that is able to catch the viscosity + solution of the Eikonal equation norm(grad(D))=P. The level set {x \ F(x)=t} can be seen as a front advancing with speed P(x). +

    +

    The resulting function D is a distance function, and if the speed P is constant, it can be seen as the distance function to a set of starting points. +

    +

    The Fast Marching is very similar to the Dijkstra algorithm that finds shortest paths on graphs. Using a gradient descent of the distance function D, one is able to extract a good approximation of the shortest path (geodesic) in various settings (Euclidean for P constant, and a weighted Riemanian manifold with P varying). +

    +

    The main reference about the Fast Marching algorithm is the book

    +
    +
      +
    • Level Set Methods and Fast Marching Methods Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, + and Materials Science, J.A. Sethian, Cambridge University Press, 1999, Cambridge Monograph on Applied and Computational Mathematics +
      • +
    +
    +

    A good review of the Fast Marching in 3D together with some applications can be found in

    +
    +
      +
    • Fast extraction of minimal paths in 3D images and application to virtual endoscopy, T.Deschamps and L.D. Cohen, Medical Image Analysis, volume 5, Issue 4, December 2001. +
      • +
    +
    +

    Setting-up the Path and Compiling the Mex Files.

    +

    Befor begining, we add some directories to the path.

    path(path, 'toolbox/');
+path(path, 'data/');
+

    The main computation are done in a mex file so it is quite fast (using a Fibonacci heap structure). To compile the mex files, + simply run the following lines. + 

    % set up a C compiler
+% mex -setup % uncomment this line
+% compile
+% compile_mex; % uncomment this line
+

    2D Fast Marching Computations

    +

    The toolbox allows to compute a distance map from a set of starting point using an arbitrary isotropic metric. This distance + map is then used to compute geodesic paths from any point that joins the closest starting point, according to the geodesic + distance. +

    +

    We first load a 2D map, and ask to the user for the starting point.

    n = 400;
+[M,W] = load_potential_map('road2', n);
+start_point = [16;219];
+end_point = [394;192];
+% You can use instead the function
+% [start_point,end_point] = pick_start_end_point(M);
+

    We then perform the front propagation

    clear options;
+options.nb_iter_max = Inf;
+options.end_points = end_point; % stop propagation when end point reached
+[D,S] = perform_fast_marching(W, start_point, options);
+% nicde color for display
+A = convert_distance_color(D);
+imageplot({W A}, {'Potential map' 'Distance to starting point'});
+colormap gray(256);
+

    At last we can extract the geodesic curve, and display the result.

    gpath = compute_geodesic(D,end_point);
+plot_fast_marching_2d(W,S,gpath,start_point,end_point, options);
+title('Shortest path');
+

    One can also use several starting and ending points and perform progressive propagation

    [M,W] = load_potential_map('mountain', n);
+% random seeding of the points
+nstart = 8; nend = 30;
+start_points = round( rand(2,nstart)*(n-1)+1 );
+end_points = round( rand(2,nend)*(n-1)+1 );
+% FM computation
+options.end_points = []; A = {};
+nlist = round( linspace(0.05,1,8)*n^2 );
+for i=1:length(nlist)
+    options.nb_iter_max = nlist(i);
+    [D,S] = perform_fast_marching(W, start_points, options);
+    mask = repmat(S==-1,[1 1 3]);
+    A{i} = convert_distance_color(D);
+    A{i} = mask.*A{i} + (1-mask) .* repmat(rescale(W),[1 1 3]);
+end
+clf;
+imageplot(A, '', 2,4);
+
+% paths extractions
+gpath = compute_geodesic(D,end_points);
+
+% display
+clf;
+subplot(1,2,1);
+imageplot(W,'Potential map');
+subplot(1,2,2);
+plot_fast_marching_2d(A{end},[],gpath,start_points,end_points, options);
+title('Shortest paths');
+

    3D Volumetric Datasets

    +

    You can load a 3D volume of data.

    % load the whole volume
+load ../toolbox_fast_marching_data/brain1-crop-256.mat
+% crop to retain only the central part
+n = 100;
+M = rescale( crop(M,n) );
+% display some horizontal slices
+slices = round(linspace(10,n-10,6));
+Mlist = mat2cell( M(:,:,slices), n, n, ones(6,1));
+clf; imageplot(Mlist);
+

    You can also perform a volumetric display. By changing the value of options.center, you can display various level sets. + 

    clf;
+options.center = .35;
+imageplot(M,options);
+title('center=.35');
+

    3D Fast Marching

    +

    The procedure for volumetric FM is the same as for 2D FM.

    +

    We ask to the user for some input points.

    delta = 5;
+start_point = [91;15;delta];
+% You can use instead the function pick_start_end_point
+

    We compute a potential that is high only very close to the value of M at the selected point. + 

    W = abs(M-M(start_point(1),start_point(2),start_point(3)));
+W = rescale(-W,.001,1);
+% perform the front propagation
+options.nb_iter_max = Inf;
+[D,S] = perform_fast_marching(W, start_point, options);
+% display the distance map
+D1 = rescale(D); D1(D>.7) = 0;
+clf; imageplot(D1,options);
+alphamap('rampup');
+colormap jet(256);
+

    Fast Marching on 3D Meshes

    +

    The FM algorithm also works on triangulated meshes (see Kimmel and Sethian paper). The metric is the metric induced by the + embedding of the 3D surface in R^3, but one can also modulate this metric by a scalar metric map. +

    +

    The triangulated mesh is loaded from a .off file. You can see my graph toolbox for more functions for mesh processing. + 

    % load the mesh
+[vertex,faces] = read_mesh('elephant-50kv');
+% display the mesh
+clf;
+plot_mesh(vertex, faces);
+shading interp;
+

    Select some starting point and do the propagation.

    start_points = 20361;
+[D,S,Q] = perform_fast_marching_mesh(vertex, faces, start_points, options);
+

    Extract some geodesics and display the result.

    npaths = 30; nverts = size(vertex,2);
+% select some points that are far enough from the starting point
+[tmp,I] = sort( D(:) ); I = I(end:-1:1); I = I(1:round(nverts*1));
+end_points = floor( rand(npaths,1)*(length(I)-1) )+1;
+end_points = I(end_points);
+% precompute some usefull information about the mesh
+options.v2v = compute_vertex_ring(faces);
+options.e2f = compute_edge_face_ring(faces);
+% extract the geodesics
+options.method = 'continuous';
+options.verb = 0;
+paths = compute_geodesic_mesh(D,vertex,faces, end_points, options);
+% display
+options.colorfx = 'equalize';
+plot_fast_marching_mesh(vertex,faces, D, paths, options);
+shading interp;
+

    Fast Marching Inside a 2D Shape

    +

    It is possible to retrict the propagation inside a 2D shape.

    +

    First we load a 2D shape, which is a BW image

    n = 128;
+M = rescale( load_image('chicken',n), 0,1 );
+M = double(M>0.5);
+

    Compute geodesic distance to a point inside the shape

    start_points = [65;65];
+% use constant metric
+W = ones(n);
+% create a mask to restrict propagation
+L = zeros(n)-Inf; L(M==1) = +Inf;
+options.constraint_map = L;
+% do the FM computation
+[D,S,Q] = perform_fast_marching(W, start_points, options);
+

    Select a set of end points, here we locate them on the boundary of the shape.

    bound = compute_shape_boundary(M);
+nbound = size(bound,1); npaths = 40;
+sel = round(linspace(1,nbound+1,npaths+1)); sel(end) = [];
+end_points = bound(sel,:)';
+

    Extract the geodesics from these ending points

    D1 = D; D1(M==0) = 1e9;
+paths = compute_geodesic(D1,end_points);
+

    We display the result.

    ms = 30; lw = 3; % size for plot
+% display
+A = convert_distance_color(D);
+clf; hold on;
+imageplot(A); axis image; axis off;
+for i=1:npaths
+    h = plot( paths{i}(2,:), paths{i}(1,:), 'k' );
+    set(h, 'LineWidth', lw);
+    h = plot(end_points(2,i),end_points(1,i), '.b');
+    set(h, 'MarkerSize', ms);
+end
+h = plot(start_points(2),start_points(1), '.r');
+set(h, 'MarkerSize', ms);
+hold off;
+colormap jet(256);
+axis ij;
+

    Farthest Point Sampling

    +

    One can sample an image using a greedy algorithm that distribute, at each step, a new point that is located the farthest away + from the previously sampled set of points. See the paper of Peyre and Cohen, IJCV. + 

    clear options;
+n = 400;
+[M,W] = load_potential_map('mountain', n);
+
+npoints_list = round(linspace(20,200,6));
+landmark = [];
+options.verb = 0;
+ms = 15;
+
+clf;
+for i=1:length(npoints_list)
+    nbr_landmarks = npoints_list(i);
+    landmark = perform_farthest_point_sampling( W, landmark, nbr_landmarks-size(landmark,2), options );
+    % compute the associated triangulation
+    [D,Z,Q] = perform_fast_marching(W, landmark);
+    % display sampling and distance function
+    D = perform_histogram_equalization(D,linspace(0,1,n^2));
+    subplot(2,3,i);
+    hold on;
+    imageplot(D');
+    plot(landmark(1,:), landmark(2,:), 'r.', 'MarkerSize', ms);
+    title([num2str(nbr_landmarks) ' points']);
+    hold off;
+    colormap jet(256);
+end
+

    Anisotropic Fast Marching

    +

    The toolbox also implements anisotropic FM, where at each location, the metric is given by a tensor field.

    +

    We first create a 2D vector field. The tensor field is aligned with this tensor field.

    n = 200;
+U = randn(n,n,2);
+options.bound = 'per';
+U = perform_vf_normalization( perform_blurring(U, 30,options) );
+

    Create a set of ending points, located on the boundary of the image.

    start_points = [n;n]/2;
+% end points on the boundary
+t = 1:n;
+x = [t t*0+n t(end-1:-1:1) t*0+1];
+y = [t*0+1 t t*0+n t(end-1:-1:1)];
+npaths = 50;
+s = round(linspace( 1,length(x), npaths+1) ); s(end) = [];
+end_points = cat(1, x(s),y(s));
+

    We build a metric with an increasing level of anisotropy, and perform the FM each time.

    % test for various degree of anisotropy
+aniso_list = [.01 .05 .1 .2 .5 1];
+ms = 30; lw = 3; % display params
+clf;
+for ianiso = 1:length(aniso_list)
+    % build the tensor field
+    aniso = aniso_list(ianiso);
+    V = cat(3, -U(:,:,2), U(:,:,1)); % orthogonal vector
+    T = perform_tensor_recomp(U,V, ones(n),ones(n)*aniso );
+    % propagation
+    [D,S,Q] = perform_fast_marching(T, start_points);
+    % for sexy display
+    D1 = perform_histogram_equalization(D, linspace(0,1,n^2));
+    % extract tons of geodesics
+    paths = compute_geodesic(D,end_points, options);
+    % display
+    subplot(2,3,ianiso);
+    hold on;
+    imageplot(D1); axis image; axis off; colormap jet(256);
+    title(['Anisotropy=' num2str(1-aniso)]);
+    for i=1:npaths
+        end_point = end_points(:,i);
+        h = plot( paths{i}(2,:), paths{i}(1,:), 'k' );
+        set(h, 'LineWidth', lw);
+        h = plot(end_point(2),end_point(1), '.b');
+        set(h, 'MarkerSize', ms);
+    end
+    h = plot(start_points(2),start_points(1), '.r');
+    set(h, 'MarkerSize', ms);
+    hold off;
+    colormap jet(256);
+    axis ij;
+end
+


    + Copyright ® 2008 Gabriel Peyre

    +
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    +     +     +     + + + + + + + + + + + + + + + + + + + + + +##### SOURCE BEGIN ##### + +##### SOURCE END ##### + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +     diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/html/style.css b/matlab/external/gptoolbox/external/toolbox_fast_marching/html/style.css new file mode 100644 index 0000000..a97ab16 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/html/style.css @@ -0,0 +1,93 @@ +body { + font-family: verdana; + font-weight : normal; + background-color: white; + /* matlab */ + margin:20px; +} + +h1 { + color: #000099; + font-size: xx-large; + text-align: center; +} + +h2 { + color: #000099; + font-size: medium; +} + +a:visited { + color : #330000; + font-weight : none; + text-decoration : none; +} +a:active { + color : #000033; + text-decoration : none; +} +a:hover { + color : #EE1111; + font-weight : bold; + text-decoration : underline; +} + +a:link { + color : #000033; + font-weight : none; + text-decoration : none; +} + + +/* matlab specifics */ + +pre.codeinput { + background: #EEEEEE; + padding: 10px; +} +@media print { + pre.codeinput {word-wrap:break-word; width:100%;} +} + +span.keyword {color: #0000FF} +span.comment {color: #228B22} +span.string {color: #A020F0} +span.untermstring {color: #B20000} +span.syscmd {color: #B28C00} + +pre.codeoutput { + color: #666666; + padding: 10px; +} + +pre.error { + color: red; +} + +p.footer { + text-align: right; + font-size: xx-small; + font-weight: lighter; + font-style: italic; + color: gray; +} + +/* MATLAB STYLE */ +/* +body { + background-color: white; + margin:10px; +} + + +p,h1,h2,div.content div { +} + +p.footer { + text-align: right; + font-size: xx-small; + font-weight: lighter; + font-style: italic; + color: gray; +} +*/ \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/license.txt b/matlab/external/gptoolbox/external/toolbox_fast_marching/license.txt new file mode 100644 index 0000000..55b9189 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/license.txt @@ -0,0 +1,24 @@ +Copyright (c) 2009, Gabriel Peyre +All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are +met: + + * Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above copyright + notice, this list of conditions and the following disclaimer in + the documentation and/or other materials provided with the distribution + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE +LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +POSSIBILITY OF SUCH DAMAGE. diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/load_potential_map.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/load_potential_map.m new file mode 100644 index 0000000..8d66e7e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/load_potential_map.m @@ -0,0 +1,69 @@ +function [M,W] = load_potential_map(name, n, options) + +% load_potential_map - prepare a potential map for FM computations +% +% [M,W] = load_potential_map(name, n, options); +% +% 'M' is a cool 2D image you can use for display +% 'W' is the potential map +% +% Copyright (c) 2004 Gabriel Peyré + + +options.null = 0; +file_name = ['data/', name, '.png']; + +switch name + case 'gaussian' + x = -1:2/(n-1):1; + [Y,X] = meshgrid(x,x); + sigma = 0.4; + M = exp( -(X.^2+Y.^2)/sigma^2 ); + M = 1-rescale( M ); + W = M + 0.01; + case 'constant' + M = ones(n)*0.5; + W = M; + case 'peaks' + M = rescale( peaks(n) ); + W = M; + case 'mountain'; + M = rescale( double( imread(file_name) ) ); + W = rescale( double(M) ); + W = W + 0.5; + case 'road2' + M = rescale( double( imread(file_name) ) ); + M = rescale(double(M)); + if 0 + clf; imagesc(M); colormap gray(256); + [x,y] = ginput(1); x = round(x); y = round(y); + v = M(x,y); + else + v = 0.3059; + v = 0; + end + W = abs( M-v ); + W = rescale(W)+0.001; + case 'peaks' + M = rescale( peaks(n) ); + case 'cavern' + M = rescale( double( imread(file_name) ) ); + W = M + 0.00001; + case 'binary' + M = ones(n); M(1:end/2,:) = .1; + W = M; + otherwise + M = rescale( double( imread(file_name) ) ); + W = compute_edge_energy(M, 5, 0.05); +end + +% remember the previous dynamic range +dr = [min(W(:)), max(W(:))]; +% resize to get a square image +m = n/max(size(M)); +m = round( size(M)*m ); +warning off; +M = perform_image_resize(M,m); +W = perform_image_resize(W,m); +warning on; +W = rescale( W, dr(1), dr(2) ); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mesh.poly b/matlab/external/gptoolbox/external/toolbox_fast_marching/mesh.poly new file mode 100644 index 0000000..a210e79 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mesh.poly @@ -0,0 +1,390 @@ +381 2 0 0 +1 0.000000 0.000000 +2 0.000000 2.000000 +3 1.000000 2.000000 +4 1.000000 1.000000 +5 2.000000 1.000000 +6 2.000000 0.000000 +7 1.502534 0.510190 +8 1.094431 0.277249 +9 0.298588 0.515017 +10 1.681435 0.508564 +11 1.628570 0.487050 +12 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a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/prop-base/perform_front_propagation_mesh.vcproj.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/prop-base/perform_front_propagation_mesh.vcproj.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/prop-base/perform_front_propagation_mesh.vcproj.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/prop-base/skeleton.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/prop-base/skeleton.cpp.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/prop-base/skeleton.cpp.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/config.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/config.h.svn-base new file mode 100644 index 0000000..71b9c38 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/config.h.svn-base @@ -0,0 +1,152 @@ +/*------------------------------------------------------------------------------*/ +/** +* \file config.h +* \brief Main configuration file. +* \author Gabriel Peyré +* \date 2004 +*/ +/*------------------------------------------------------------------------------*/ + +#ifndef _MY_CONFIG_H_ +#define _MY_CONFIG_H_ + +#define INLINE __inline + +//------------------------------------------------------------------------- +/** \name debug & inline directive */ +//------------------------------------------------------------------------- +//@{ +#ifdef _DEBUG + #ifndef GW_DEBUG + #define GW_DEBUG + #endif // GW_DEBUG +#endif // _DEBUG +// #undef GW_DEBUG +//@} + +//------------------------------------------------------------------------- +/** \name numerical macros */ +//------------------------------------------------------------------------- +//@{ +#undef MIN +#undef MAX +#define MIN(a, b) ((a) < (b) ? (a) : (b)) //!< Returns the min value between a and b +#define MAX(a, b) ((a) > (b) ? (a) : (b)) //!< Returns the max value between a and b +#define MAXMAX(a,b,c) ((a) > (b) ? MAX (a,c) : MAX (b,c)) +#define GW_MIN(a, b) MIN(a,b) //!< Returns the min value between a and b +#undef GW_MAX // already defined by Windows.h ... +#define GW_MAX(a, b) MAX(a,b) //!< Returns the max value between a and b +#define GW_MAXMAX(a,b,c) MAXMAX(a,b,c) + +#define GW_SCALE_01(x,rMin,rMax) ((x-rMin)/(rMax-rMin)) + +#define GW_ABS(a) ((a) > 0 ? (a) : -(a)) //!< Returns the absolute value a +#define GW_SIGN(a) ((a) > 0 ? 1 : -1) //!< Returns the sign of a +#define SQR(x) ((x)*(x)) //!< Returns x square +#define CUBE(x) ((x)*(x)*(x)) //!< Returns x cube +#define GW_SQR(x) SQR(x) //!< Returns x square +#define GW_CUBE(x) CUBE(x) //!< Returns x cube + +#define GW_CLAMP_01(x) if( (x)<0 ) x=0; if( (x)>1 ) x=1 +#define GW_CLAMP(x, a,b) if( (x)b ) x=b + +#define GW_SWAP(x,y) x^=y; y^=x; x^=y +#define GW_ORDER(x,y) if(x>y){ GW_SWAP(x,y); } +//@} + +//------------------------------------------------------------------------- +/** \name generic macros */ +//------------------------------------------------------------------------- +//@{ +/** a random number in [0-1] */ +#define GW_RAND ((double) (rand()%10000))/10000 +/** a random number in [a,b] */ +#define GW_RAND_RANGE(a,b) (a)+((b)-(a))*((GW_Float) (rand()%10000))/10000 +/** delete a single pointer */ +#define GW_DELETE(p) {if (p!=NULL) delete p; p=NULL;} +/** delete an array pointer */ +#define GW_DELETEARRAY(p) {if (p!=NULL) delete [] p; p=NULL;} +//@} + +//------------------------------------------------------------------------- +/** \name some constants */ +//------------------------------------------------------------------------- +//@{ +#define GW_True true +#define GW_False false +/** to make aproximate computations (derivation, GW_Float comparaisons ...) */ +#define GW_EPSILON 1e-9 +/** very big number */ +#define GW_INFINITE 1e9 +//@} + +//------------------------------------------------------------------------- +/** \name numerical constants */ +//------------------------------------------------------------------------- +//@{ +/** pi */ +#define GW_PI 3.1415926535897932384626433832795028841971693993751f +/** pi/2 */ +#define GW_HALFPI 1.57079632679489661923f +/** 2*pi */ +#define GW_TWOPI 6.28318530717958647692f +/** 1/pi */ +#define GW_INVPI 0.31830988618379067154f +/** 180/pi */ +#define GW_RADTODEG(x) (x)*57.2957795130823208768f +/** pi/180 */ +#define GW_DEGTORAD(x) (x)*0.01745329251994329577f +/** e */ +#define GW_EXP 2.71828182845904523536f +/** 1/log10(2) */ +#define GW_ILOG2 3.32192809488736234787f +/** 1/3 */ +#define GW_INV3 0.33333333333333333333f +/** 1/6 */ +#define GW_INV6 0.16666666666666666666f +/** 1/9 */ +#define GW_INV7 0.14285714285714285714f +/** 1/9 */ +#define GW_INV9 0.11111111111111111111f +/** 1/255 */ +#define GW_INV255 0.00392156862745098039f +/** sqrt(2) */ +#define GW_SQRT2 1.41421356237f +//@} + +//------------------------------------------------------------------------- +/** \name assertion macros */ +//------------------------------------------------------------------------- +//@{ +#ifdef GW_DEBUG + #define GW_ASSERT(expr) _ASSERT(expr) + #define GW_DEBUG_ONLY(expr) expr +#else + #define GW_ASSERT(expr) // if(!(expr)) cerr << "Error in file " << __FILE__ << " line " << __LINE__ << "." << endl + #define GW_DEBUG_ONLY(expr) +#endif // GW_DEBUG +//@} + +INLINE +int log2(int n) +{ + int x = 0; + while (n > 1) + { + x++; + n /= 2; + } + return x; +} + +INLINE +int cmp(double a, double b) +{ + if (a < b) + return -1; + if (a == b) + return 0; + return 1; +} + +#endif // _MY_CONFIG_H_ diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/eucdist2.c.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/eucdist2.c.svn-base new file mode 100644 index 0000000..bfb5af9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/eucdist2.c.svn-base @@ -0,0 +1,336 @@ +/* + * Copyright 1993-2003 The MathWorks, Inc. + * $Revision: 1.5.4.3 $ $Date: 2004/02/01 21:44:32 $ + */ + +/* + * EUCDIST2 MEX-file + * + * Distance transform, Euclidean version + * + * D = EUCDIST2(BW) computes the Euclidean distance transform on the input + * binary image BW. Specifically, it computes the distance to the nearest + * nonzero-valued pixel. BW must be 2-D. + * + * [D,L] = EUCDIST2(BW) returns a linear index array L representing a + * nearest-neighbor map. L(r,c) is the linear index of the nonzero-valued + * element of BW closest to (r,c). + * + * Input-output specs + * ------------------ + * BW: 2-D logical matrix + * empty allowed + * + * D: 2-D real double matrix, same size as BW + * contains nonnegative values + * + * Algorithm notes + * --------------- + * Heinz Breu, Joseph Gil, David Kirkpatrick, and Michael Werman, + * "Linear Time Euclidean Distance Transform Algorithms," IEEE + * Transactions on Pattern Analysis and Machine Intelligence, + * vol 17 no 5 May 1995, pp. 529-533. Here we use the second + * algorithm, "Transform Based on Partial Voronoi Diagram Construction," + * pp. 531-533. + */ + +#include +#include "mex.h" + +typedef struct pixel_T +{ + int x; + int y; +} +pixel_T; + +#define FAKE_COL_VAL -1 + +/* + * From "Function Remove(u,v,w,r)", middle of second column, page 532. + * Reversed the terms x and y compared to the equations in the paper. + * + * This function returns true if the Voronoi cell centered on + * v does not intersect the line x=c. + */ +bool remove_candidate(pixel_T u, pixel_T v, pixel_T w, int c) +{ + /* + * Perform calculations in double, since this operation is + * sensitive to overflow when done in int32. See g198383. + * -sle, 2004/01/13 + */ + double term1; + double term2; + double ux = (double) u.x; + double uy = (double) u.y; + double vx = (double) v.x; + double vy = (double) v.y; + double wx = (double) w.x; + double wy = (double) w.y; + + term1 = (wy - vy) * (vy*vy - uy*uy - 2*c*(vx - ux) + + vx*vx - ux*ux); + + term2 = (vy - uy) * (wy*wy - vy*vy - 2*c*(wx - vx) + + wx*wx - vx*vx); + + return term1 >= term2; +} + +/* + * Update the candidates array for column c. Return the number + * of candidates. Also update the col_values array, which is + * an array of maximal (or minimal) column values for pixels in + * each row, up to and including the current column c. bw is a pointer + * to the binary image array; M is the number of rows of that array. + */ +void update_candidates(pixel_T *candidates, int *num_candidates, + int *col_values, int c, mxLogical *bw, int M) +{ + mxLogical *pr; + int r; + + /* + * Update the max_col_values array. + */ + pr = bw + M*c; + for (r = 0; r < M; r++) + { + if (pr[r] != 0) + { + col_values[r] = c; + } + } + + /* + * Update the candidates array. + */ + *num_candidates = 0; + for (r = 0; r < M; r++) + { + if (col_values[r] != FAKE_COL_VAL) + { + candidates[*num_candidates].x = col_values[r]; + candidates[*num_candidates].y = r; + (*num_candidates)++; + } + } +} + +/* + * This is the algorithm "Create L from Candidates," bottom of column 2, + * page 532 to top of column 1, page 533. The following changes have + * been made to the printed version of the algorithm: + * - Script "L" replaced by "ell" + * - "r" replaced by "c" + * - "l" replaced by "p" (because SLE never names variables "l"!) + * - "c" replaced by "num_candidates" + * - fixed typo in paper: "RemoveL([k-1],w,r)" should have been + * "Remove(L[k-1],L[k],w,r)." + * + * Outputs are Voronoi cell array ell and num_cells. Inputs are + * candidates, num_candidates, and c, which is the column currently + * being processed. + */ +void compute_ell(pixel_T *ell, int *num_cells, pixel_T *candidates, + int num_candidates, int c) +{ + int k; + int p; + pixel_T w; + + if (num_candidates == 0) + { + *num_cells = 0; + } + else if (num_candidates == 1) + { + *num_cells = 1; + ell[0] = candidates[0]; + } + else + { + ell[0] = candidates[0]; + ell[1] = candidates[1]; + k = 1; + p = 2; + while (p < num_candidates) + { + w = candidates[p]; + while ((k >= 1) && remove_candidate(ell[k-1], ell[k], w, c)) + { + k--; + } + k++; + p++; + ell[k] = w; + } + *num_cells = k+1; + } +} + +/* + * Scan column c. For each location in column c, compute the squared + * distance to the nearest Voronoi cell center. If that squared distance + * is smaller than what's already in the array Out at that location, + * then replace it. + */ +void assign_distances(double *Out, int M, int c, pixel_T *ell, int num_cells, + double *nn) +{ + int r; + int current_cell = 0; + double *pr; + double *pr_nn; + double sq_dist; + double temp_sq_dist; + double dx; + double dy; + int k; + bool do_labels = nn != NULL; + + if (num_cells > 0) + { + pr = Out + M*c; + if (do_labels) + { + pr_nn = nn + M*c; + } + for (r = 0; r < M; r++) + { + /* + * Compute squared distance to current cell. + */ + dx = c - ell[current_cell].x; + dy = r - ell[current_cell].y; + sq_dist = dx*dx + dy*dy; + + /* + * See if we need to update the current cell. + */ + for (k = current_cell+1; k < num_cells; k++) + { + dx = c - ell[k].x; + dy = r - ell[k].y; + temp_sq_dist = dx*dx + dy*dy; + if (temp_sq_dist < sq_dist) + { + current_cell = k; + sq_dist = temp_sq_dist; + } + else + { + break; + } + } + + if (sq_dist < pr[r]) + { + pr[r] = sq_dist; + if (do_labels) + { + pr_nn[r] = M * ell[current_cell].x + + ell[current_cell].y + 1.0; + } + } + } + } +} + + +void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) +{ + mxLogical *bw; + mxArray *Out; + mxArray *NN_map; + int M; + int N; + int *col_values; + pixel_T *candidates; + pixel_T *ell; + int num_candidates; + int num_cells; + double *pr; + double *nn = NULL; + int k; + int c; + double inf = mxGetInf(); + + if (nrhs != 1) + { + mexErrMsgIdAndTxt("Images:eucdist2:wrongNumInputs", + "EUCDIST2 requires one input argument."); + } + bw = mxGetLogicals(prhs[0]); + M = mxGetM(prhs[0]); + N = mxGetN(prhs[0]); + + Out = mxCreateDoubleMatrix(M, N, mxREAL); + plhs[0] = Out; + pr = (double *) mxGetData(Out); + for (k = 0; k < M*N; k++) + { + pr[k] = inf; + } + + if (nlhs > 1) + { + /* + * Return the nearest neighbor map. + */ + NN_map = mxCreateDoubleMatrix(M, N, mxREAL); + plhs[1] = NN_map; + nn = (double *) mxGetData(NN_map); + } + + candidates = (pixel_T *) mxMalloc(M * sizeof(*candidates)); + ell = (pixel_T *) mxMalloc(M * sizeof(*ell)); + col_values = (int *) mxMalloc(M * sizeof(*col_values)); + + /* + * Initialize the col_values array + */ + for (k = 0; k < M; k++) + { + col_values[k] = FAKE_COL_VAL; + } + + /* + * First pass + */ + for (c = 0; c < N; c++) + { + update_candidates(candidates, &num_candidates, + col_values, c, bw, M); + compute_ell(ell, &num_cells, candidates, num_candidates, c); + assign_distances(mxGetPr(Out), M, c, ell, num_cells, nn); + } + + /* + * Reinitialize the col_values array + */ + for (k = 0; k < M; k++) + { + col_values[k] = FAKE_COL_VAL; + } + + /* + * Second pass + */ + for (c = N-1; c >= 0; c--) + { + update_candidates(candidates, &num_candidates, + col_values, c, bw, M); + compute_ell(ell, &num_cells, candidates, num_candidates, c); + assign_distances(pr, M, c, ell, num_cells, nn); + } + + /* + * Return distance instead of squared distance. + */ + for (k = 0; k < M*N; k++) + { + pr[k] = sqrt(pr[k]); + } +} diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_circular_front_propagation_2d.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_circular_front_propagation_2d.cpp.svn-base new file mode 100644 index 0000000..fdb2ab1 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_circular_front_propagation_2d.cpp.svn-base @@ -0,0 +1,95 @@ +/*================================================================= +% perform_circular_front_propagation_2d - perform a Fast Marching front propagation. +% +% [D,S] = perform_circular_front_propagation_2d(W,start_points,end_points,center_point,nb_iter_max,H); +% +% 'D' is a 2D array containing the value of the distance function to seed. +% 'S' is a 2D array containing the state of each point : +% -1 : dead, distance have been computed. +% 0 : open, distance is being computed but not set. +% 1 : far, distance not already computed. +% 'W' is the weight matrix (inverse of the speed). +% 'start_points' is a 2 x num_start_points matrix where k is the number of starting points. +% 'H' is an heuristic (distance that remains to goal). This is a 2D matrix. +% +% Copyright (c) 2004 Gabriel Peyré +*=================================================================*/ + +#include "mex.h" +#include "perform_front_propagation_2d.h" + +double* center_point = NULL; + +bool callback_intert_node(int i, int j, int ii, int jj) +{ + // point must be on the right of the center + if( i>=center_point[0] && ii>=(int)center_point[0] ) + { + if( j>=center_point[1] && jj<(int)center_point[1] ) + return false; + if( j=(int)center_point[1] ) + return false; + } + return true; +} + +void mexFunction( int nlhs, mxArray *plhs[], + int nrhs, const mxArray*prhs[] ) +{ + /* retrive arguments */ + if( nrhs<5 ) + mexErrMsgTxt("5 or 6 input arguments are required."); + if( nlhs<1 ) + mexErrMsgTxt("1 or 2 output arguments are required."); + + // first argument : weight list + n = mxGetM(prhs[0]); + p = mxGetN(prhs[0]); + W = mxGetPr(prhs[0]); + // second argument : start_points + start_points = mxGetPr(prhs[1]); + int tmp = mxGetM(prhs[1]); + nb_start_points = mxGetN(prhs[1]); + if( nb_start_points==0 || tmp!=2 ) + mexErrMsgTxt("start_points must be of size 2 x nb_start_poins."); + // third argument : end_points + end_points = mxGetPr(prhs[2]); + tmp = mxGetM(prhs[2]); + nb_end_points = mxGetN(prhs[2]); + if( nb_end_points!=0 && tmp!=2 ) + mexErrMsgTxt("end_points must be of size 2 x nb_end_poins."); + // fourth argument : center_point + center_point = mxGetPr(prhs[3]); + // fifth argument : nb_iter_max + nb_iter_max = (int) *mxGetPr(prhs[4]); + // sixth argument : heuristic + if( nrhs==6 ) + { + H = mxGetPr(prhs[5]); + if( mxGetM(prhs[5])!=n || mxGetN(prhs[5])!=p ) + mexErrMsgTxt("H must be of size n x p."); + } + else + H = NULL; + + // first ouput : distance + plhs[0] = mxCreateDoubleMatrix(n, p, mxREAL); + D = mxGetPr(plhs[0]); + // second output : state + if( nlhs>=2 ) + { + plhs[1] = mxCreateDoubleMatrix(n, p, mxREAL); + S = mxGetPr(plhs[1]); + } + else + { + S = new double[n*p]; + } + + // launch the propagation + perform_front_propagation_2d(callback_intert_node); + + if( nlhs<2 ) + GW_DELETEARRAY(S); + return; +} diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_circular_front_propagation_2d.def.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_circular_front_propagation_2d.def.svn-base new file mode 100644 index 0000000..b6e6f4d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_circular_front_propagation_2d.def.svn-base @@ -0,0 +1,3 @@ +LIBRARY perform_circular_front_propagation_2d.dll +EXPORTS + mexFunction \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_circular_front_propagation_2d.vcproj.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_circular_front_propagation_2d.vcproj.svn-base new file mode 100644 index 0000000..e2c144c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_circular_front_propagation_2d.vcproj.svn-base @@ -0,0 +1,240 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation.sln.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation.sln.svn-base new file mode 100644 index 0000000..b75a433 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation.sln.svn-base @@ -0,0 +1,33 @@ +Microsoft Visual Studio Solution File, Format Version 9.00 +# Visual Studio 2005 +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "perform_front_propagation_2d", "perform_front_propagation_2d.vcproj", "{E4A823A7-267F-494F-87CF-BB933886F90D}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "perform_front_propagation_3d", "perform_front_propagation_3d.vcproj", "{44920EEA-EA60-4A6E-8695-0133BBB93332}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "perform_circular_front_propagation_2d", "perform_circular_front_propagation_2d.vcproj", "{3E2E583E-2CAB-4420-B4EE-7CCCB4719694}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "perform_front_propagation_mesh", "perform_front_propagation_mesh.vcproj", "{E4A823A7-267F-494F-87CF-BB933986F90D}" +EndProject +Global + GlobalSection(SolutionConfigurationPlatforms) = preSolution + Debug|Win32 = Debug|Win32 + Release|Win32 = Release|Win32 + EndGlobalSection + GlobalSection(ProjectConfigurationPlatforms) = postSolution + {E4A823A7-267F-494F-87CF-BB933886F90D}.Debug|Win32.ActiveCfg = Debug|Win32 + {E4A823A7-267F-494F-87CF-BB933886F90D}.Debug|Win32.Build.0 = Debug|Win32 + {E4A823A7-267F-494F-87CF-BB933886F90D}.Release|Win32.ActiveCfg = Release|Win32 + {E4A823A7-267F-494F-87CF-BB933886F90D}.Release|Win32.Build.0 = Release|Win32 + {44920EEA-EA60-4A6E-8695-0133BBB93332}.Debug|Win32.ActiveCfg = Debug|Win32 + {44920EEA-EA60-4A6E-8695-0133BBB93332}.Release|Win32.ActiveCfg = Release|Win32 + {3E2E583E-2CAB-4420-B4EE-7CCCB4719694}.Debug|Win32.ActiveCfg = Debug|Win32 + {3E2E583E-2CAB-4420-B4EE-7CCCB4719694}.Release|Win32.ActiveCfg = Release|Win32 + {E4A823A7-267F-494F-87CF-BB933986F90D}.Debug|Win32.ActiveCfg = Debug|Win32 + {E4A823A7-267F-494F-87CF-BB933986F90D}.Debug|Win32.Build.0 = Debug|Win32 + {E4A823A7-267F-494F-87CF-BB933986F90D}.Release|Win32.ActiveCfg = Release|Win32 + {E4A823A7-267F-494F-87CF-BB933986F90D}.Release|Win32.Build.0 = Release|Win32 + EndGlobalSection + GlobalSection(SolutionProperties) = preSolution + HideSolutionNode = FALSE + EndGlobalSection +EndGlobal diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_2d.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_2d.cpp.svn-base new file mode 100644 index 0000000..d1d7b79 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_2d.cpp.svn-base @@ -0,0 +1,348 @@ +/*================================================================= +% perform_front_propagation_2d - perform a Fast Marching front propagation. +% +% [D,S,Q] = perform_front_propagation_2d(W,start_points,end_points,nb_iter_max, H, L, values); +% +% 'D' is a 2D array containing the value of the distance function to seed. +% 'S' is a 2D array containing the state of each point : +% -1 : dead, distance have been computed. +% 0 : open, distance is being computed but not set. +% 1 : far, distance not already computed. +% 'W' is the weight matrix (inverse of the speed). +% 'start_points' is a 2 x num_start_points matrix where k is the number of starting points. +% 'H' is an heuristic (distance that remains to goal). This is a 2D matrix. +% +% Copyright (c) 2004 Gabriel Peyr� +*=================================================================*/ + +// select to test or not to test (debug purpose) +// #define CHECK_HEAP check_heap(i,j,k); +#ifndef CHECK_HEAP + #define CHECK_HEAP +#endif +// error display +// #define ERROR_MSG(a) mexErrMsgTxt(a) +#ifndef ERROR_MSG + #define ERROR_MSG(a) +#endif +// #define WARN_MSG(a) mexWarnMsgTxt(a) +#ifndef WARN_MSG + #define WARN_MSG(a) +#endif + +#include "perform_front_propagation_2d.h" +#include "fheap/fib.h" +#include "fheap/fibpriv.h" + +#define kDead -1 +#define kOpen 0 +#define kFar 1 + +/* Global variables */ +int n; // width +int p; // height +double* D = NULL; +double* S = NULL; +double* W = NULL; +double* Q = NULL; +double* start_points = NULL; +double* end_points = NULL; +double* values = NULL; +double* H = NULL; +double* L = NULL; +int nb_iter_max = 100000; +int nb_start_points = 0; +int nb_end_points = 0; +fibheap_el** heap_pool = NULL; + +#define ACCESS_ARRAY(a,i,j) a[(i)+n*(j)] +#define D_(i,j) ACCESS_ARRAY(D,i,j) +#define S_(i,j) ACCESS_ARRAY(S,i,j) +#define W_(i,j) ACCESS_ARRAY(W,i,j) +#define H_(i,j) ACCESS_ARRAY(H,i,j) +#define Q_(i,j) ACCESS_ARRAY(Q,i,j) +#define L_(i,j) ACCESS_ARRAY(L,i,j) +#define heap_pool_(i,j) ACCESS_ARRAY(heap_pool,i,j) +#define start_points_(i,k) start_points[(i)+2*(k)] +#define end_points_(i,k) end_points[(i)+2*(k)] + +struct point +{ + point( int ii, int jj ) + { i = ii; j = jj; } + int i,j; +}; +typedef std::vector point_list; + +inline +bool end_points_reached(const int i, const int j ) +{ + for( int k=0; kfhe_data; + if( H==NULL ) + { + if( D_(i,j)>D_(pt.i,pt.j) ) + ERROR_MSG("Problem with heap.\n"); + } + else + { + if( D_(i,j)+H_(i,j)>D_(pt.i,pt.j)+H_(pt.i,pt.j) ) + ERROR_MSG("Problem with heap.\n"); + } + } + } +} + + + +void perform_front_propagation_2d(T_callback_intert_node callback_insert_node) +{ + // create the Fibonacci heap + struct fibheap* open_heap = fh_makeheap(); + fh_setcmp(open_heap, compare_points); + + double h = 1.0/n; + + // initialize points + for( int i=0; i=0 && jj>=0 && ii0 ) + { + bool bParticipate = true; + if( callback_insert_node!=NULL ) + bParticipate = callback_insert_node(ii,jj,ii-1,jj); + if( bParticipate ) + { + if( D_(ii-1,jj)0 ) + { + bool bParticipate = true; + if( callback_insert_node!=NULL ) + bParticipate = callback_insert_node(ii,jj,ii,jj-1); + if( bParticipate ) + { + if( D_(ii,jj-1)a2 ) // swap so that a1= a2 >= a1. + double A1 = 0; + if( P*P > (a2-a1)*(a2-a1) ) + { + double delta = 2*P*P-(a2-a1)*(a2-a1); + A1 = (a1+a2+sqrt(delta))/2.0; + } + else + A1 = a1 + P; + if( ((int) S_(ii,jj)) == kDead ) + { + // check if action has change. Should not happen for FM + // if( A1=0 ) + Q_(ii,jj) = k1; + //else + // Q_(ii,jj) = k2; + //Q_(ii,jj) = Q_(i,j); + } +#endif + } + else if( ((int) S_(ii,jj)) == kOpen ) + { + // check if action has change. + if( A1=0 ) + Q_(ii,jj) = k1; + //else + // Q_(ii,jj) = k2; + //Q_(ii,jj) = Q_(i,j); + // Modify the value in the heap + fibheap_el* cur_el = heap_pool_(ii,jj); + if( cur_el!=NULL ) + fh_replacedata( open_heap, cur_el, cur_el->fhe_data ); // use same data for update + else + ERROR_MSG("Error in heap pool allocation."); + } + } + else if( ((int) S_(ii,jj)) == kFar ) + { + if( D_(ii,jj)!=GW_INFINITE ) + ERROR_MSG("Distance must be initialized to Inf"); + if( L==NULL || A1<=L_(ii,jj) ) + { + S_(ii,jj) = kOpen; + // distance must have change. + D_(ii,jj) = A1; + // update the value of the closest starting point + //if( GW_ABS(a1-A1)=0 ) + Q_(ii,jj) = k1; + //else + // Q_(ii,jj) = k2; + //Q_(ii,jj) = Q_(i,j); + // add to open list + point* pt = new point(ii,jj); + existing_points.push_back( pt ); + heap_pool_(ii,jj) = fh_insert( open_heap, pt ); // add to heap + } + } + else + ERROR_MSG("Unkwnown state."); + + } // end switch + } // end for + } // end while + +// char msg[200]; +// sprintf(msg, "Cool %f", Q_(100,100) ); +// WARN_MSG( msg ); + + // free heap + fh_deleteheap(open_heap); + // free point pool + for( point_list::iterator it = existing_points.begin(); it!=existing_points.end(); ++it ) + GW_DELETE( *it ); + // free fibheap pool + GW_DELETEARRAY(heap_pool); +} \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_2d.def.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_2d.def.svn-base new file mode 100644 index 0000000..e8b2870 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_2d.def.svn-base @@ -0,0 +1,3 @@ +LIBRARY perform_front_propagation_2d.dll +EXPORTS + mexFunction \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_2d.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_2d.h.svn-base new file mode 100644 index 0000000..c659f3e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_2d.h.svn-base @@ -0,0 +1,32 @@ +#ifndef _PERFORM_FRONT_PROPAGATION_2D_H_ +#define _PERFORM_FRONT_PROPAGATION_2D_H_ + +#include +#include "config.h" +#include +#include +#include +#include + +// some global variables +extern int n; // width +extern int p; // height +extern double* D; +extern double* S; +extern double* W; +extern double* Q; +extern double* L; +extern double* start_points; +extern double* end_points; +extern double* H; +extern double* values; +extern int nb_iter_max; +extern int nb_start_points; +extern int nb_end_points; + +typedef bool (*T_callback_intert_node)(int i, int j, int ii, int jj); + +// main function +void perform_front_propagation_2d(T_callback_intert_node callback_insert_node = NULL); + +#endif // _PERFORM_FRONT_PROPAGATION_2D_H_ \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_2d.vcproj.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_2d.vcproj.svn-base new file mode 100644 index 0000000..71e1372 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_2d.vcproj.svn-base @@ -0,0 +1,244 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_2d_mex.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_2d_mex.cpp.svn-base new file mode 100644 index 0000000..ec1081f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_2d_mex.cpp.svn-base @@ -0,0 +1,117 @@ +/*================================================================= +% perform_front_propagation_2d - perform a Fast Marching front propagation. +% +% [D,S,Q] = perform_front_propagation_2d(W,start_points,end_points,nb_iter_max,H,L,values); +% +% 'D' is a 2D array containing the value of the distance function to seed. +% 'S' is a 2D array containing the state of each point : +% -1 : dead, distance have been computed. +% 0 : open, distance is being computed but not set. +% 1 : far, distance not already computed. +% Q is the index of the closest point. +% 'W' is the weight matrix (inverse of the speed). +% 'start_points' is a 2 x num_start_points matrix where k is the number of starting points. +% 'H' is an heuristic (distance that remains to goal). This is a 2D matrix. +% L is a constraint matrix, points will be considered only if their current distance is less than L. +% +% Copyright (c) 2004 Gabriel Peyré +*=================================================================*/ + +#include "perform_front_propagation_2d.h" +#include "mex.h" + +void mexFunction( int nlhs, mxArray *plhs[], + int nrhs, const mxArray*prhs[] ) +{ + /* retrive arguments */ + if( nrhs<4 ) + mexErrMsgTxt("4 - 7 input arguments are required."); + if( nlhs<1 ) + mexErrMsgTxt("1, 2 or 3 output arguments are required."); + + // first argument : weight list + n = mxGetM(prhs[0]); + p = mxGetN(prhs[0]); + W = mxGetPr(prhs[0]); + // second argument : start_points + start_points = mxGetPr(prhs[1]); + int tmp = mxGetM(prhs[1]); + nb_start_points = mxGetN(prhs[1]); + if( nb_start_points==0 || tmp!=2 ) + mexErrMsgTxt("start_points must be of size 2 x nb_start_poins."); + // third argument : end_points + end_points = mxGetPr(prhs[2]); + tmp = mxGetM(prhs[2]); + nb_end_points = mxGetN(prhs[2]); + if( nb_end_points!=0 && tmp!=2 ) + mexErrMsgTxt("end_points must be of size 2 x nb_end_poins."); + // argument 4: nb_iter_max + nb_iter_max = (int) *mxGetPr(prhs[3]); + // argument 5: heuristic + if( nrhs>=5 ) + { + H = mxGetPr(prhs[4]); + if( mxGetM(prhs[4])==0 && mxGetN(prhs[4])==0 ) + H=NULL; + if( H!=NULL && (mxGetM(prhs[4])!=n || mxGetN(prhs[4])!=p) ) + mexErrMsgTxt("H must be of size n x p."); + } + else + H = NULL; + // argument 6: constraint map + if( nrhs>=6 ) + { + L = mxGetPr(prhs[5]); + if( mxGetM(prhs[5])==0 && mxGetN(prhs[5])==0 ) + H=NULL; + if( L!=NULL && (mxGetM(prhs[5])!=n || mxGetN(prhs[5])!=p) ) + mexErrMsgTxt("L must be of size n x p."); + } + else + L = NULL; + // argument 7: value list + if( nrhs>=7 ) + { + values = mxGetPr(prhs[6]); + if( mxGetM(prhs[6])==0 && mxGetN(prhs[6])==0 ) + values=NULL; + if( values!=NULL && (mxGetM(prhs[6])!=nb_start_points || mxGetN(prhs[6])!=1) ) + mexErrMsgTxt("values must be of size nb_start_points x 1."); + } + else + values = NULL; + + + // first ouput : distance + plhs[0] = mxCreateDoubleMatrix(n, p, mxREAL); + D = mxGetPr(plhs[0]); + // second output : state + if( nlhs>=2 ) + { + plhs[1] = mxCreateDoubleMatrix(n, p, mxREAL); + S = mxGetPr(plhs[1]); + } + else + { + S = new double[n*p]; + } + // third output : index + if( nlhs>=3 ) + { + plhs[2] = mxCreateDoubleMatrix(n, p, mxREAL); + Q = mxGetPr(plhs[2]); + } + else + { + Q = new double[n*p]; + } + + // launch the propagation + perform_front_propagation_2d(); + + if( nlhs<2 ) + GW_DELETEARRAY(S); + if( nlhs<3 ) + GW_DELETEARRAY(Q); + return; +} diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_3d.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_3d.cpp.svn-base new file mode 100644 index 0000000..88c3251 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_3d.cpp.svn-base @@ -0,0 +1,307 @@ +/*================================================================= +% perform_front_propagation_3d - perform a Fast Marching front propagation. +% +% OLD : [D,S] = perform_front_propagation_2d(W,start_points,end_points,nb_iter_max,H); +% [D,S,Q] = perform_front_propagation_3d(W,start_points,end_points,nb_iter_max, H, L); +% +% 'D' is a 2D array containing the value of the distance function to seed. +% 'S' is a 2D array containing the state of each point : +% -1 : dead, distance have been computed. +% 0 : open, distance is being computed but not set. +% 1 : far, distance not already computed. +% 'W' is the weight matrix (inverse of the speed). +% 'start_points' is a 3 x num_start_points matrix where k is the number of starting points. +% 'H' is an heuristic (distance that remains to goal). This is a 2D matrix. +% +% Copyright (c) 2004 Gabriel Peyré +*=================================================================*/ + +// select to test or not to test (debug purpose) +// #define CHECK_HEAP check_heap(i,j,k); +#ifndef CHECK_HEAP + #define CHECK_HEAP +#endif +// error display +// #define ERROR_MSG(a) mexErrMsgTxt(a) +#ifndef ERROR_MSG + #define ERROR_MSG(a) +#endif +// #define WARN_MSG(a) mexWarnMsgTxt(a) +#ifndef WARN_MSG + #define WARN_MSG(a) +#endif + + +#include "perform_front_propagation_3d.h" +#include "fheap/fib.h" +#include "fheap/fibpriv.h" + +#define kDead -1 +#define kOpen 0 +#define kFar 1 + +#define ACCESS_ARRAY(a,i,j,k) a[(i)+n*(j)+n*p*(k)] +#define D_(i,j,k) ACCESS_ARRAY(D,i,j,k) +#define S_(i,j,k) ACCESS_ARRAY(S,i,j,k) +#define W_(i,j,k) ACCESS_ARRAY(W,i,j,k) +#define H_(i,j,k) ACCESS_ARRAY(H,i,j,k) +#define L_(i,j,k) ACCESS_ARRAY(L,i,j,k) +#define Q_(i,j,k) ACCESS_ARRAY(Q,i,j,k) +#define heap_pool_(i,j,k) ACCESS_ARRAY(heap_pool,i,j,k) +#define start_points_(i,s) start_points[(i)+3*(s)] +#define end_points_(i,s) end_points[(i)+3*(s)] + +/* Global variables */ +int n; // size on X +int p; // size on Y +int q; // size on Z +double* D = NULL; +double* S = NULL; +double* W = NULL; +double* Q = NULL; +double* values = NULL; +double* start_points = NULL; +double* end_points = NULL; +double* H = NULL; +double* L = NULL; +int nb_iter_max = 100000; +int nb_start_points = 0; +int nb_end_points = 0; +fibheap_el** heap_pool = NULL; + +struct point +{ + point( int ii, int jj, int kk ) + { i = ii; j = jj; k = kk; } + int i,j,k; +}; +typedef std::vector point_list; + +inline bool end_points_reached(const int i, const int j, const int k ) +{ + for( int s=0; sfhe_data ); + if( H==NULL ) + { + if( D_(i,j,k)>D_(pt.i,pt.j,pt.k) ) + ERROR_MSG("Problem with heap.\n"); + } + else + { + if( D_(i,j,k)+H_(i,j,k)>D_(pt.i,pt.j,pt.k)+H_(pt.i,pt.j,pt.k) ) + ERROR_MSG("Problem with heap.\n"); + } + } + } +} + +void perform_front_propagation_3d( T_callback_intert_node callback_insert_node ) +{ + // create the Fibonacci heap + struct fibheap* open_heap = fh_makeheap(); + fh_setcmp(open_heap, compare_points); + + double h = 1.0/n; + + // initialize points + for( int i=0; i=0 && jj>=0 && ii=0 && kk0 ) + a1 = GW_MIN( a1, D_(ii-1,jj,kk) ); + double a2 = GW_INFINITE; + if( jj0 ) + a2 = GW_MIN( a2, D_(ii,jj-1,kk) ); + double a3 = GW_INFINITE; + if( kk0 ) + a3 = GW_MIN( a3, D_(ii,jj,kk-1) ); + // order so that a1b) { SWAP(a,b); } + SWAPIF(a2,a3) + SWAPIF(a1,a2) + SWAPIF(a2,a3) + // update its distance + // now the equation is (a-a1)^2+(a-a2)^2+(a-a3)^2 - P^2 = 0, with a >= a3 >= a2 >= a1. + // => 3*a^2 - 2*(a2+a1+a3)*a - P^2 + a1^2 + a3^2 + a2^2 + // => delta = (a2+a1+a3)^2 - 3*(a1^2 + a3^2 + a2^2 - P^2) + double delta = (a2+a1+a3)*(a2+a1+a3) - 3*(a1*a1 + a2*a2 + a3*a3 - P*P); + double A1 = 0; + if( delta>=0 ) + A1 = ( a2+a1+a3 + sqrt(delta) )/3.0; + if( A1<=a3 ) + { + // at least a3 is too large, so we have + // a >= a2 >= a1 and a 2*a^2 - 2*(a1+a2)*a + a1^2+a2^2-P^2 + // delta = (a2+a1)^2 - 2*(a1^2 + a2^2 - P^2) + delta = (a2+a1)*(a2+a1) - 2*(a1*a1 + a2*a2 - P*P); + A1 = 0; + if( delta>=0 ) + A1 = 0.5 * ( a2+a1 +sqrt(delta) ); + if( A1<=a2 ) + A1 = a1 + P; + } + // update the value + if( ((int) S_(ii,jj,kk)) == kDead ) + { + // check if action has change. Should not appen for FM + // if( A1fhe_data ); // use same data for update + else + ERROR_MSG("Error in heap pool allocation."); + } + } + else if( ((int) S_(ii,jj,kk)) == kFar ) + { + if( D_(ii,jj,kk)!=GW_INFINITE ) + WARN_MSG("Distance must be initialized to Inf"); + if( L==NULL || A1<=L_(ii,jj,kk) ) + { + S_(ii,jj,kk) = kOpen; + // distance must have change. + D_(ii,jj,kk) = A1; + Q_(ii,jj,kk) = Q_(i,j,k); + // add to open list + point* pt = new point(ii,jj,kk); + existing_points.push_back( pt ); + heap_pool_(ii,jj,kk) = fh_insert( open_heap, pt ); // add to heap + } + } + else + WARN_MSG("Unkwnown state."); + } // end swich + } // end for + } // end while + + // free heap + fh_deleteheap(open_heap); + // free point pool + for( point_list::iterator it = existing_points.begin(); it!=existing_points.end(); ++it ) + GW_DELETE( *it ); + // free fibheap pool + GW_DELETEARRAY(heap_pool); + + return; +} \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_3d.def.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_3d.def.svn-base new file mode 100644 index 0000000..dc88594 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_3d.def.svn-base @@ -0,0 +1,3 @@ +LIBRARY perform_front_propagation_3d.dll +EXPORTS + mexFunction \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_3d.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_3d.h.svn-base new file mode 100644 index 0000000..acd39f6 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_3d.h.svn-base @@ -0,0 +1,33 @@ +#ifndef _PERFORM_FRONT_PROPAGATION_3D_H_ +#define _PERFORM_FRONT_PROPAGATION_3D_H_ + +#include +#include "config.h" +#include +#include +#include +#include + +// some global variables +extern int n; // width +extern int p; // height +extern int q; // height +extern double* D; +extern double* S; +extern double* W; +extern double* Q; +extern double* L; +extern double* start_points; +extern double* end_points; +extern double* H; +extern double* values; +extern int nb_iter_max; +extern int nb_start_points; +extern int nb_end_points; + +typedef bool (*T_callback_intert_node)(int i, int j, int k, int ii, int jj, int kk); + +// main function +void perform_front_propagation_3d(T_callback_intert_node callback_insert_node = NULL); + +#endif // _PERFORM_FRONT_PROPAGATION_3D_H_ \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_3d.vcproj.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_3d.vcproj.svn-base new file mode 100644 index 0000000..447e229 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_3d.vcproj.svn-base @@ -0,0 +1,220 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_3d_mex.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_3d_mex.cpp.svn-base new file mode 100644 index 0000000..9612a8c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_3d_mex.cpp.svn-base @@ -0,0 +1,120 @@ +/*================================================================= +% perform_front_propagation_3d - perform a Fast Marching front propagation. +% +% OLD : [D,S] = perform_front_propagation_2d(W,start_points,end_points,nb_iter_max,H); +% [D,S,Q] = perform_front_propagation_3d(W,start_points,end_points,nb_iter_max, H, L); +% +% 'D' is a 2D array containing the value of the distance function to seed. +% 'S' is a 2D array containing the state of each point : +% -1 : dead, distance have been computed. +% 0 : open, distance is being computed but not set. +% 1 : far, distance not already computed. +% 'W' is the weight matrix (inverse of the speed). +% 'start_points' is a 3 x num_start_points matrix where k is the number of starting points. +% 'H' is an heuristic (distance that remains to goal). This is a 2D matrix. +% +% Copyright (c) 2004 Gabriel Peyré +*=================================================================*/ + +#include "perform_front_propagation_3d.h" +#include "mex.h" + + +void mexFunction( int nlhs, mxArray *plhs[], + int nrhs, const mxArray*prhs[] ) +{ + /* retrive arguments */ + if( nrhs<4 ) + mexErrMsgTxt("4 - 7 input arguments are required."); + if( nlhs<1 ) + mexErrMsgTxt("1, 2 or 3 output arguments are required."); + + // first argument : weight list + if( mxGetNumberOfDimensions(prhs[0])!= 3 ) + mexErrMsgTxt("W must be a 3D array."); + n = mxGetDimensions(prhs[0])[0]; + p = mxGetDimensions(prhs[0])[1]; + q = mxGetDimensions(prhs[0])[2]; + W = mxGetPr(prhs[0]); + // second argument : start_points + start_points = mxGetPr(prhs[1]); + int tmp = mxGetM(prhs[1]); + nb_start_points = mxGetN(prhs[1]); + if( nb_start_points==0 || tmp!=3 ) + mexErrMsgTxt("start_points must be of size 3 x nb_start_poins."); + // third argument : end_points + end_points = mxGetPr(prhs[2]); + tmp = mxGetM(prhs[2]); + nb_end_points = mxGetN(prhs[2]); + if( nb_end_points!=0 && tmp!=3 ) + mexErrMsgTxt("end_points must be of size 3 x nb_end_poins."); + // argument 4 : nb_iter_max + nb_iter_max = (int) *mxGetPr(prhs[3]); + // argument 5 : heuristic + if( nrhs>=5 ) + { + H = mxGetPr(prhs[4]); + if( mxGetM(prhs[4])==0 && mxGetN(prhs[4])==0 ) + H=NULL; + if( H!=NULL && (mxGetDimensions(prhs[4])[0]!=n || mxGetDimensions(prhs[4])[1]!=p || mxGetDimensions(prhs[4])[2]!=q) ) + mexErrMsgTxt("H must be of size n x p x q."); + } + else + H = NULL; + // argument 6 : constraint map + if( nrhs>=6 ) + { + L = mxGetPr(prhs[5]); + if( L!=NULL && (mxGetDimensions(prhs[5])[0]!=n || mxGetDimensions(prhs[5])[1]!=p || mxGetDimensions(prhs[5])[2]!=q) ) + mexErrMsgTxt("L must be of size n x p x q."); + } + else + L = NULL; + // argument 7: value list + if( nrhs>=7 ) + { + values = mxGetPr(prhs[6]); + if( mxGetM(prhs[6])==0 && mxGetN(prhs[6])==0 ) + values=NULL; + if( values!=NULL && (mxGetM(prhs[6])!=nb_start_points || mxGetN(prhs[6])!=1) ) + mexErrMsgTxt("values must be of size nb_start_points x 1."); + } + else + values = NULL; + + // first ouput : distance + int dims[3] = {n,p,q}; + plhs[0] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL ); + D = mxGetPr(plhs[0]); + // second output : state + if( nlhs>=2 ) + { + plhs[1] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL ); + S = mxGetPr(plhs[1]); + } + else + { + S = new double[n*p*q]; + } + // third output : index + if( nlhs>=3 ) + { + plhs[2] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL ); + Q = mxGetPr(plhs[2]); + } + else + { + Q = new double[n*p*q]; + } + + + // launch the propagation + perform_front_propagation_3d(); + + if( nlhs<2 ) + GW_DELETEARRAY(S); + if( nlhs<3 ) + GW_DELETEARRAY(Q); + + return; +} \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_anisotropic.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_anisotropic.cpp.svn-base new file mode 100644 index 0000000..0d247e2 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_anisotropic.cpp.svn-base @@ -0,0 +1,88 @@ +#include "mex.h" +#include "anisotropic-fm/AnisotropicTensorDistance.h" +#include "anisotropic-fm/AnisotropicTensorDistanceConfidence.h" + +using namespace std; +using namespace FastLevelSet; + +#define start_points_(i,j) start_points[i+j*3] + +// D = perform_front_propagation_anisotropic(tensor_data, mask, alpha, start_points, dmax); + +void mexFunction(int nlhs, mxArray *plhs[], + int nrhs, const mxArray*prhs[] ) +{ + if( nrhs!=5 ) + mexErrMsgTxt("5 needed input : tensor, mask, alpha, start_points, dmax"); + if( nlhs!=2 ) + mexErrMsgTxt("2 output arguments are required."); + + if( mxGetNumberOfDimensions(prhs[0])!= 4 ) + mexErrMsgTxt("tensor_data must be a 4D array."); + if( mxGetNumberOfDimensions(prhs[1])!= 3 ) + mexErrMsgTxt("tensor must be a 3D array."); + + // input + double *tensor_data = mxGetPr(prhs[0]); // tensor field + double *mask_data = mxGetPr(prhs[1]); // mask field + double alpha = mxGetScalar(prhs[2]); // alpha + double* start_points = mxGetPr(prhs[3]); // starting points + int nstart = mxGetN(prhs[3]); // number of starting points + double dmax = mxGetScalar(prhs[4]); // starting points + + if( mxGetM(prhs[3])!=3 ) + mexErrMsgTxt("start_points should be of size (3,p)."); + + // width, height, depth + int w = mxGetDimensions(prhs[0])[0]; + int h = mxGetDimensions(prhs[0])[1]; + int d = mxGetDimensions(prhs[0])[2]; + + // number of dimensions for tensor field + const int ndims = 6; + + // output + int dims[3] = {w, h, d}; + // distance map + plhs[0] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL); + double *dist_data = mxGetPr(plhs[0]); + // Voronoi diagram (labels map) + plhs[1] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL); + double *voro = mxGetPr(plhs[1]); + + int size = w*h*d; + for(int i=0; i (malloc(size*ndims*sizeof(double))); + for(int i=0; i march(dist_data, + w,h,d, + mask_data, + tensor_data, + NULL, // tensor_power_data, + alpha, + voro); + int pos; + // set up starting points + double labels = 1, nstartd = (double)nstart; + for( int i=0; i +#include "config.h" +#include +#include +#include +#include +#include +#include +#include +#include +using std::string; +using std::cerr; +using std::cout; +using std::endl; + +#include "mex.h" +#include "gw/gw_core/GW_Config.h" +#include "gw/gw_core/GW_MathsWrapper.h" +#include "gw/gw_geodesic/GW_GeodesicMesh.h" +using namespace GW; + + +inline void display_message(const char* mess, int v) +{ + char str[128]; + sprintf(str, mess, v); + mexWarnMsgTxt(str); +} + + + +double* vertex = NULL; +int nverts = -1; +double* faces = NULL; +int nfaces = -1; +double* start_points = NULL; +int nstart = -1; +double* end_points = NULL; +int nend = -1; +double* H = NULL; // heuristic +double* L = NULL; // bound on current distance +double* Ww = NULL; // weight +int niter_max = -1; +double dmax = 1e9; +double* values = NULL; +// outputs +double* D = NULL; // distance +double* S = NULL; // state +double* Q = NULL; // nearest neighbor + +#define faces_(k,i) faces[k+3*i] +#define vertex_(k,i) vertex[k+3*i] + + +GW_Float WeightCallback(GW_GeodesicVertex& Vert) +{ + GW_U32 i = Vert.GetID(); + return Ww[i]; +} + +GW_Bool StopMarchingCallback( GW_GeodesicVertex& Vert ) +{ + // check if the end point has been reached + GW_U32 i = Vert.GetID(); +// display_message("ind %d",i ); +// display_message("dist %f",Vert.GetDistance() ); + if( Vert.GetDistance()>dmax ) + return true; + for( int k=0; k=7 ) + { + H = mxGetPr(prhs[6]); + int m =mxGetM(prhs[6]); + if( m>0 && m!=nverts ) + mexErrMsgTxt("H must be of size nverts."); + if( m==0 ) + H = NULL; + } + else + { + H = NULL; + } + // arg8 : L + if( nrhs>=8 ) + { + L = mxGetPr(prhs[7]); + int m =mxGetM(prhs[7]); + if( m>0 && mxGetM(prhs[7])!=nverts ) + mexErrMsgTxt("L must be of size nverts."); + if( m==0 ) + L = NULL; + } + else + L = NULL; + + // argument 9: value list + if( nrhs>=9 ) + { + values = mxGetPr(prhs[8]); + if( mxGetM(prhs[8])==0 && mxGetN(prhs[8])==0 ) + values=NULL; + if( values!=NULL && (mxGetM(prhs[8])!=nstart || mxGetN(prhs[8])!=1) ) + mexErrMsgTxt("values must be of size nb_start_points x 1."); + } + else + values = NULL; + // argument 10: dmax + if( nrhs>=9 ) + dmax = *mxGetPr(prhs[9]); + else + dmax = 1e9; + + + // first ouput : distance + plhs[0] = mxCreateDoubleMatrix(nverts, 1, mxREAL); + D = mxGetPr(plhs[0]); + // second output : state + plhs[1] = mxCreateDoubleMatrix(nverts, 1, mxREAL); + S = mxGetPr(plhs[1]); + // second output : segmentation + plhs[2] = mxCreateDoubleMatrix(nverts, 1, mxREAL); + Q = mxGetPr(plhs[2]); + + // create the mesh + GW_GeodesicMesh Mesh; + Mesh.SetNbrVertex(nverts); + for( int i=0; iSetDistance( values[i] ); + } + + // perform fast marching +// display_message("itermax=%d", niter_max); + Mesh.PerformFastMarching(); + + // output result + for( int i=0; iGetDistance(); + S[i] = v->GetState(); + GW_GeodesicVertex* v1 = v->GetFront(); + if( v1==NULL ) + Q[i] = -1; + else + Q[i] = v1->GetID(); + } + + + return; +} diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_mesh.def.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_mesh.def.svn-base new file mode 100644 index 0000000..fcdd5ec --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_mesh.def.svn-base @@ -0,0 +1,3 @@ +LIBRARY perform_front_propagation_mesh.dll +EXPORTS + mexFunction \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_mesh.vcproj.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_mesh.vcproj.svn-base new file mode 100644 index 0000000..ece4702 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/perform_front_propagation_mesh.vcproj.svn-base @@ -0,0 +1,477 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/skeleton.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/skeleton.cpp.svn-base new file mode 100644 index 0000000..625e3ae --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/.svn/text-base/skeleton.cpp.svn-base @@ -0,0 +1,430 @@ +//*************************************************************************** +// +// Matlab C routine file: skelgrad.cpp +// +// Written 8/04 by N. Howe +// +// Input: +// img: binary silhouette image +// +// Output: +// skg: skeleton gradient transform +// skr: skeleton radius +// +//*************************************************************************** + +#include "mex.h" + +//*************************************************************************** + +#define SQR(x) (x)*(x) +#define MIN(x,y) (((x) < (y)) ? (x):(y)) +#define MAX(x,y) (((x) > (y)) ? (x):(y)) +#define ABS(x) (((x) < 0) ? (-(x)):(x)) +#define errCheck(a,b) if (!(a)) mexErrMsgTxt((b)); +#define cutBounds(i) (((i)>0) ? (((i) 8) { + int pivot; + int pivid; + int lo = 1; // everything to the left of lo is smaller than pivot + int hi = n-1; // everything to the right of hi is larger than the pivot + int tmp; + + pivid = rand()%n; + mxAssert((pivid >= 0),"Randomness too small"); + mxAssert((pivid < n),"Randomness too big"); + tmp = arr[0]; + arr[0] = arr[pivid]; + arr[pivid] = tmp; + pivot = arr[0]; // store value for convenience + while (hi != lo-1) { // keep going until everything has been categorized. + if (arr[lo] < pivot) { + // smaller than pivot, so stays here + lo++; + } else { + // larger than pivot, so moves to the other end + tmp = arr[hi]; + arr[hi] = arr[lo]; + arr[lo] = tmp; + hi--; + } + } + tmp = arr[hi]; + arr[hi] = arr[0]; + arr[0] = tmp; + quicksort(arr,hi); // sort smaller side of array + quicksort(arr+lo,n-lo); // sort bigger side of array + } else { + // use insertion sort + int i, j; + int tmp; + + for (i = 0; i < n; i++) { + for (j = i; (j > 0)&&(arr[j] < arr[j-1]); j--) { + tmp = arr[j]; + arr[j] = arr[j-1]; + arr[j-1] = tmp; + } + } + } +} +// end of quicksort() + +//**************************************************************************** +// +// joint_neighborhood() returns a byte value representing the immediate +// neighborhood of the specified joint in bit form, clockwise from NW. +// +// R/O arr: binary pixel array +// R/O i,j: coordinates of point +// R/O nrow, ncol: dimensions of binary image +// Returns: bit representation of 8-neighbors +// + +template +inline int joint_neighborhood(T *arr, int i, int j, int nrow, int ncol) { + int p = i+j*nrow; + int condition = 8*(i <= 0)+4*(j <= 0)+2*(i >= nrow)+(j >= ncol); + + switch (condition) { + case 0: // all points valid + return (arr[p-nrow-1]?1:0)+(arr[p-1]?2:0)+(arr[p]?4:0)+(arr[p-nrow]?8:0); + case 1: // right side not valid + return (arr[p-nrow-1]?1:0)+(arr[p-nrow]?8:0); + case 2: // bottom not valid + return (arr[p-nrow-1]?1:0)+(arr[p-1]?2:0); + case 3: // bottom and right not valid + return (arr[p-nrow-1]?1:0); + case 4: // left side not valid + return (arr[p-1]?2:0)+(arr[p]?4:0); + case 5: // left and right sides not valid + return 0; + case 6: // left and bottom sides not valid + return (arr[p-1]?2:0); + case 7: // left, bottom, and right sides not valid + return 0; + case 8: // top side not valid + return (arr[p]?4:0)+(arr[p-nrow]?8:0); + case 9: // top and right not valid + return (arr[p-nrow]?8:0); + case 10: // top and bottom not valid + case 11: // top, bottom and right not valid + return 0; + case 12: // top and left not valid + return (arr[p]?4:0); + case 13: // top, left and right sides not valid + case 14: // top, left and bottom sides not valid + case 15: // no sides valid + return 0; + default: + mexErrMsgTxt("Impossible condition.\n"); + return -1; + } +} + +//*************************************************************************** +// +// compute_skeleton_gradient() does the main computation. +// Written as a template to support multiple image types. +// +// R/O img: the image +// R/O nrow, ncol: image dimensions +// R/O nlhs: number of arguments to return +// W/O plhs: array of return arguments (0 = gradient, 1 = radius) +// + +template void +compute_skeleton_gradient(T *img, int nrow, int ncol, int nlhs, + mxArray **plhs) { + int i, j, ei, ej, inear; + int ijunc, iedge, iseq, lastdir, mind, minjunc, pspan; + int jnrow = nrow+1, jncol = ncol+1; + int njunc, jhood, nedge, nnear; + int *jx, *jy, *edgej, *seqj, *edgelen; + int *dNE, *dNW, *dSE, *dSW, *nearj; + bool *seenj; + double *skg, *rad; + + // count junctions + njunc = 0; + for (j = 0; j < jncol; j++) { + for (i = 0; i < jnrow; i++) { + jhood = joint_neighborhood(img,i,j,nrow,ncol); + if ((jhood != 0)&&(jhood != 15)) { + njunc++; + } + } + } + //mexPrintf("Counted %d junctions.\n",njunc); + + // allocate scratch space + jx = (int*)mxMalloc(njunc*sizeof(int)); + jy = (int*)mxMalloc(njunc*sizeof(int)); + seqj = (int*)mxMalloc(njunc*sizeof(int)); + edgej = (int*)mxMalloc(njunc*sizeof(int)); + seenj = (bool*)mxMalloc(jnrow*jncol*sizeof(bool)); + dNE = (int*)mxMalloc(njunc*sizeof(int)); + dNW = (int*)mxMalloc(njunc*sizeof(int)); + dSE = (int*)mxMalloc(njunc*sizeof(int)); + dSW = (int*)mxMalloc(njunc*sizeof(int)); + nearj = (int*)mxMalloc(njunc*sizeof(int)); + for (i = 0; i < jnrow*jncol; i++) { + seenj[i] = false; + } + //mexPrintf("Space allocated\n"); + + // register junctions + ijunc = 0; + nedge = 0; + for (j = 0; j < jncol; j++) { + for (i = 0; i < jnrow; i++) { + jhood = joint_neighborhood(img,i,j,nrow,ncol); + //mexPrintf("(%d,%d) neighborhood: %d.\n",i,j,jhood); + mxAssert(i+j*jnrow>=0&&i+j*jnrow=0)&&(ijunc=0)&&(ej>=0)&&(ei 1) { + plhs[1] = mxCreateNumericMatrix(nrow,ncol,mxDOUBLE_CLASS,mxREAL); + rad = mxGetPr(plhs[1]); + } + for (j = 0; j < ncol; j++) { + for (i = 0; i < nrow; i++) { + if (img[i+j*nrow]) { + // compute distance to all junction points + // keeping track of minimum + mind = SQR(jnrow+jncol); + minjunc = -1; + for (ijunc = 0; ijunc < njunc; ijunc++) { + dNE[ijunc] = SQR(i-jy[ijunc])+SQR(j-jx[ijunc]); + dNW[ijunc] = SQR(i-jy[ijunc])+SQR(j+1-jx[ijunc]); + dSE[ijunc] = SQR(i+1-jy[ijunc])+SQR(j-jx[ijunc]); + dSW[ijunc] = SQR(i+1-jy[ijunc])+SQR(j+1-jx[ijunc]); + if (dNE[ijunc] < mind) { + mind = dNE[ijunc]; + minjunc = ijunc; + } + if (dNW[ijunc] < mind) { + mind = dNW[ijunc]; + minjunc = ijunc; + } + if (dSE[ijunc] < mind) { + mind = dSE[ijunc]; + minjunc = ijunc; + } + if (dSW[ijunc] < mind) { + mind = dSW[ijunc]; + minjunc = ijunc; + } + } + //mexPrintf("Point (%d,%d): junction %d.\n",i,j,minjunc); + mxAssert((minjunc >=0)&&(minjunc=0)&&(edgej[minjunc] 1) { + rad[i+j*nrow] = mind; + } + + // find all other junction points at minimal distance + nnear = pspan = 0; + for (ijunc = 0; ijunc < njunc; ijunc++) { + if ((dNE[ijunc] <= dNE[minjunc])||(dNW[ijunc] <= dNW[minjunc])|| + (dSE[ijunc] <= dSE[minjunc])||(dSW[ijunc] <= dSW[minjunc])) { + // we have a candidate junction + if (edgej[ijunc] != edgej[minjunc]) { + pspan = -1; + break; + } else { + nearj[nnear] = seqj[ijunc]; + nnear++; + } + } + } + + if (pspan >= 0){ + // compute perimeter span -- find largest gap and take remainder + quicksort(nearj,nnear); + //mexPrintf("Positions: "); + //for (inear = 0; inear < nnear; inear++) { + // mexPrintf("%d ",nearj[inear]); + //} + pspan = nearj[0]-nearj[nnear-1]+edgelen[edgej[minjunc]]; + //mexPrintf("\nDifferences: %d ",pspan); + for (inear = 1; inear < nnear; inear++) { + if (pspan < nearj[inear]-nearj[inear-1]) { + pspan = nearj[inear]-nearj[inear-1]; + } + //mexPrintf("%d ",nearj[inear]-nearj[inear-1]); + } + //mexPrintf(" => Result: %d (from %d; ep = %d).\n", + // edgelen[edgej[minjunc]]-pspan,pspan, + // edgelen[edgej[minjunc]]); + pspan = edgelen[edgej[minjunc]]-pspan; + skg[i+j*nrow] = pspan; + } else { + skg[i+j*nrow] = mxGetInf(); + } + + //mexPrintf("Final span: %g.\n",pspan); + } else { + skg[i+j*nrow] = 0; + if (nlhs > 1) { + rad[i+j*nrow] = 0; + } + } + } + } + + // free space + mxFree(jx); + mxFree(jy); + mxFree(seqj); + mxFree(edgej); + mxFree(seenj); + mxFree(dNE); + mxFree(dNW); + mxFree(dSE); + mxFree(dSW); + mxFree(nearj); +} +// end of compute_skeleton_gradient() + +//*************************************************************************** +// +// Gateway driver to call the calculation from Matlab. +// +// This is the Matlab entry point. +// + +void +mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) { + int nrow, ncol; + double *img; + + // check for proper number of arguments + errCheck(nrhs == 1,"Exactly one input argument required."); + errCheck(nlhs <= 2,"Too many output arguments."); + + // check format of arguments + errCheck(mxIsUint8(prhs[0])||mxIsLogical(prhs[0])||mxIsDouble(prhs[0]), + "Input must be double binary image."); + nrow = mxGetM(prhs[0]); + ncol = mxGetN(prhs[0]); + img = mxGetPr(prhs[0]); + + // process image + if (mxIsDouble(prhs[0])) { + compute_skeleton_gradient(img,nrow,ncol,nlhs,plhs); + } else { + compute_skeleton_gradient((unsigned char *)img,nrow,ncol,nlhs,plhs); + } +} +// end of mexFunction() diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/all-wcprops b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/all-wcprops new file mode 100644 index 0000000..58d6f33 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/all-wcprops @@ -0,0 +1,35 @@ +K 25 +svn:wc:ra_dav:version-url +V 89 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/anisotropic-fm-feth +END +fm2dAniso.cpp +K 25 +svn:wc:ra_dav:version-url +V 103 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/anisotropic-fm-feth/fm2dAniso.cpp +END +fm2dAniso.mexmaci +K 25 +svn:wc:ra_dav:version-url +V 107 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/anisotropic-fm-feth/fm2dAniso.mexmaci +END +fm.h +K 25 +svn:wc:ra_dav:version-url +V 94 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/anisotropic-fm-feth/fm.h +END +fm2dAniso.h +K 25 +svn:wc:ra_dav:version-url +V 101 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/anisotropic-fm-feth/fm2dAniso.h +END +testFM2dAniso.m +K 25 +svn:wc:ra_dav:version-url +V 105 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/anisotropic-fm-feth/testFM2dAniso.m +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/entries b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/entries new file mode 100644 index 0000000..ce8399f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/entries @@ -0,0 +1,89 @@ +8 + +dir +12 +https://matlabcompanion.svn.sourceforge.net/svnroot/matlabcompanion/toolbox/toolbox_fast_marching/mex/anisotropic-fm-feth +https://matlabcompanion.svn.sourceforge.net/svnroot/matlabcompanion + + + +2008-08-16T12:32:42.608947Z +1 +nikopol0 + + +svn:special svn:externals svn:needs-lock + + + + + + + + + + + +0211462f-4f08-4595-aba7-0193070202b6 + +fm2dAniso.cpp +file + + + + +2008-08-16T13:43:21.000000Z +0eb94661b091596155977fbe30dbe113 +2008-08-16T12:32:42.608947Z +1 +nikopol0 + +fm2dAniso.mexmaci +file + + + + +2008-08-16T13:43:21.000000Z +9830993317c028f089bb26ea452c9e31 +2008-08-16T12:32:42.608947Z +1 +nikopol0 +has-props + +fm.h +file + + + + +2008-08-16T13:43:21.000000Z +bc687484a64d093d4b4f0b990d2f2f83 +2008-08-16T12:32:42.608947Z +1 +nikopol0 + +fm2dAniso.h +file + + + + +2008-08-16T13:43:21.000000Z +4237df276ae3d92a4bc972471638ad02 +2008-08-16T12:32:42.608947Z +1 +nikopol0 + +testFM2dAniso.m +file + + + + +2008-08-16T13:43:21.000000Z +4cf7d0d8e8055529bd00b4ff4a4f5e54 +2008-08-16T12:32:42.608947Z +1 +nikopol0 + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/format b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/format new file mode 100644 index 0000000..45a4fb7 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/format @@ -0,0 +1 @@ +8 diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/prop-base/fm2dAniso.mexmaci.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/prop-base/fm2dAniso.mexmaci.svn-base new file mode 100644 index 0000000..5e9587e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/prop-base/fm2dAniso.mexmaci.svn-base @@ -0,0 +1,5 @@ +K 13 +svn:mime-type +V 24 +application/octet-stream +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/text-base/fm.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/text-base/fm.h.svn-base new file mode 100644 index 0000000..3a23193 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/text-base/fm.h.svn-base @@ -0,0 +1,148 @@ +#ifndef FM_H +#define FM_H + +///////////////////////// +// OS-independent includes +///////////////////////// + +#include +#include +#include +#include +#include +#include +#include +//#include "fheap/fib.h" +//#include "fheap/fibpriv.h" + +///////////////////////// +// numerical macros +///////////////////////// +#undef MIN +#undef MAX +#define MIN(a, b) ((a) < (b) ? (a) : (b)) //!< Returns the min value between a and b +#define MINMIN(a,b,c) ((a) < (b) ? MIN(a,c) : MIN(b,c)) +#define MAX(a, b) ((a) > (b) ? (a) : (b)) //!< Returns the max value between a and b +#define MAXMAX(a,b,c) ((a) > (b) ? MAX (a,c) : MAX (b,c)) +#define SCALE_01(x,rMin,rMax) ((x-rMin)/(rMax-rMin)) +#define ABS(a) ((a) > 0 ? (a) : -(a)) //!< Returns the absolute value a +#define SIGN(a) ((a) > 0 ? 1 : -1) //!< Returns the sign of a +#define SQR(x) ((x)*(x)) //!< Returns x square +#define CUBE(x) ((x)*(x)*(x)) //!< Returns x cube + +#define CLAMP_01(x) if( (x)<0 ) x=0; if( (x)>1 ) x=1 +#define CLAMP(x, a,b) if( (x)b ) x=b + +#define SWAP(x,y) x^=y; y^=x; x^=y +#define ORDER(x,y) if(x>y){ GW_SWAP(x,y); } + +///////////////////////// +// generic macros +///////////////////////// +/** a random number in [0-1] */ +#define RAND ((double) (rand()%10000))/10000 +/** a random number in [a,b] */ +#define RAND_RANGE(a,b) (a)+((b)-(a))*((GW_Float) (rand()%10000))/10000 +/** delete a single pointer */ +#define DELETE(p) {if (p!=NULL) delete p; p=NULL;} +/** delete an array pointer */ +#define DELETEARRAY(p) {if (p!=NULL) delete [] p; p=NULL;} + +///////////////////////// +// some constants +///////////////////////// +#define TRUE true +#define FALSE false +/** to make aproximate computations (derivation, float comparaisons ...) */ +#define EPSILON 1e-6 +/** very big number */ +#define INFINITE 1e9 + +///////////////////////// +// numerical constants +///////////////////////// + +/** pi */ +#define PI 3.1415926535897932384626433832795028841971693993751f +/** pi/2 */ +#define HALFPI 1.57079632679489661923f +/** 2*pi */ +#define TWOPI 6.28318530717958647692f +/** 1/pi */ +#define GW_INVPI 0.31830988618379067154f +/** 180/pi */ +#define RADTODEG(x) (x)*57.2957795130823208768f +/** pi/180 */ +#define DEGTORAD(x) (x)*0.01745329251994329577f +/** e */ +#define EXP 2.71828182845904523536f +/** 1/log10(2) */ +#define ILOG2 3.32192809488736234787f +/** 1/3 */ +#define INV3 0.33333333333333333333f +/** 1/6 */ +#define INV6 0.16666666666666666666f +/** 1/9 */ +#define INV7 0.14285714285714285714f +/** 1/9 */ +#define INV9 0.11111111111111111111f +/** 1/255 */ +#define INV255 0.00392156862745098039f +/** sqrt(2) */ +#define SQRT2 1.41421356237f + +//================================================================ +typedef std::vector LISTofINT; +typedef std::vector LISTofSHORT; +typedef std::vector LISTofFLOAT; +typedef std::vector LISTofBOOL; +typedef std::vector LISTofLISTofINT; +typedef std::vector LISTofLISTofBOOL; + +class MIN_PATH +{ + public: + int* V; + float U; + LISTofINT points; +}; +typedef std::vector LISTofMIN_PATH; + +class KEYPOINT +{ + public: + int point; + int V; + float U; +}; +typedef std::vector LISTofKEYPOINT; +//================================================================ + +inline int log2(int n) +{ + int x = 0; + while (n > 1) + { + x++; + n /= 2; + } + return x; +} + +inline int cmp(float a, float b) +{ + if (a < b) + return -1; + if (a == b) + return 0; + return 1; +} + +int sign(int v) +{ +return v > 0 ? 1 : (v < 0 ? -1 : 0); +} + + + +#endif // #ifndef FM_H diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/text-base/fm2dAniso.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/text-base/fm2dAniso.cpp.svn-base new file mode 100644 index 0000000..a50ecbf --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/text-base/fm2dAniso.cpp.svn-base @@ -0,0 +1,93 @@ +#include "fm2dAniso.h" + +void mexFunction( int nlhs, mxArray *plhs[], + int nrhs, const mxArray*prhs[] ) +{ + //------------------------------------------------------------------ + /* retrive arguments */ + //------------------------------------------------------------------ + if( (nrhs!=3) && (nrhs!=4) ) + mexErrMsgTxt("3 or 4 arguments are required."); + if( mxGetNumberOfDimensions(prhs[1])!= 4 ) + mexErrMsgTxt("HERE T must be a 2D x 2x2 tensor field of symmetric definite matrices."); + //------------------------------------------------------------------ + // First argument : spacing and dimensions + const int* dim_h = mxGetDimensions(prhs[0]); + if ( (dim_h[0]!=2) || (dim_h[1]!=1) ) + mexErrMsgTxt("Library error: h must be a 2x1 array list."); + hx = mxGetPr(prhs[0])[0]; hy = mxGetPr(prhs[0])[1]; + hx2 = hx*hx; hy2 = hy*hy; + hxhy = hx*hy; + hx2hy2 = hx*hx*hy*hy; + hx2_plus_hy2 = hx*hx + hy*hy; + sqrt_hx2_plus_hy2 = sqrt(hx2_plus_hy2); + nx = mxGetDimensions(prhs[1])[0]; + ny = mxGetDimensions(prhs[1])[1]; + if( (mxGetDimensions(prhs[1])[2] != 2) || (mxGetDimensions(prhs[1])[3] != 2) ) + mexErrMsgTxt("T must be a 2D x 2x2 tensor field of symmetric definite matrices."); + Nx = nx+2; Ny = ny+2; + size = Nx*Ny; nxny = nx*ny; + //------------------------------------------------------------------ + // Second argument : Anisotropy matrices + T = mxGetPr(prhs[1]); + //------------------------------------------------------------------ + // Third argument : start points + start_points = mxGetPr(prhs[2]); + nb_start_points = mxGetN(prhs[2]); + //------------------------------------------------------------------ + Dmax = 0.0; + //------------------------------------------------------------------ + // forth argument : max length to reach + if(nrhs==4) + Dmax = (float) mxGetScalar(prhs[3]); + //================================================================== + // Outputs + int dims[2] = {Nx,Ny}; + // First output : minimal action map + plhs[0] = mxCreateNumericArray(2, dims, mxSINGLE_CLASS, mxREAL ); + U = (float*) mxGetPr(plhs[0]); + // Second output : dUx + plhs[1] = mxCreateNumericArray(2, dims, mxSINGLE_CLASS, mxREAL ); + dUx = (float*) mxGetPr(plhs[1]); + // Third output : dUy + plhs[2] = mxCreateNumericArray(2, dims, mxSINGLE_CLASS, mxREAL ); + dUy = (float*) mxGetPr(plhs[2]); + // Fourth output : Voronoi diagramm + plhs[3] = mxCreateNumericArray(2, dims, mxINT16_CLASS, mxREAL ); + V = (short*) mxGetPr(plhs[3]); + // Fifth output : Euclidien Distance + plhs[4] = mxCreateNumericArray(2, dims, mxSINGLE_CLASS, mxREAL ); + L = (float*) mxGetPr(plhs[4]); + //================================================================== + InitializeNeighborhoods(); + //------------------------------------------------------------------ + InitializeArrays(); + //------------------------------------------------------------------ + InitializeOpenHeap(); + //------------------------------------------------------------------ + RunPropagation(); + //================================================================== + resize(); + dims[0] = Nx-2; dims[1] = Ny-2; + mxSetDimensions(plhs[0], dims, 2); + mxSetDimensions(plhs[1], dims, 2); + mxSetDimensions(plhs[2], dims, 2); + mxSetDimensions(plhs[3], dims, 2); + mxSetDimensions(plhs[4], dims, 2); + //================================================================== + DELETEARRAY(NeighborhoodLarge); + DELETEARRAY(Simplicies1); + DELETEARRAY(Simplicies2); + DELETEARRAY(signsX); + DELETEARRAY(signsY); + DELETEARRAY(h1); + DELETEARRAY(h2); + DELETEARRAY(h1_h2); + DELETEARRAY(h22); + DELETEARRAY(q_gradient); + DELETEARRAY(S); + DELETEARRAY(M1);DELETEARRAY(M2);DELETEARRAY(M3); + DELETEARRAY(Trial); + DELETEARRAY(Tree); + return; +} \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/text-base/fm2dAniso.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/text-base/fm2dAniso.h.svn-base new file mode 100644 index 0000000..14c0824 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/.svn/text-base/fm2dAniso.h.svn-base @@ -0,0 +1,597 @@ +// FastMarching2D.cpp : Defines the entry point for the DLL application. +// + +#include "fm.h" + +#define kDead -1 +#define kOpen -2 +#define kFar -3 +#define kBorder -4 + +/* Global variables */ +int nx; // real size on X +int ny; // real size on Y +int nxny; +int Nx, Ny; // size for computing +int size; +float hx, hy;// spacing +float hx2, hy2, hxhy; +float hx2hy2; +float hx2_plus_hy2; +float sqrt_hx2_plus_hy2; +float* U = NULL;// action map +float* dUx = NULL; +float* dUy = NULL; +float* L = NULL; // distance map +short* S = NULL; // states +short* V = NULL; // voronoi +float* M1 = NULL; // M1 +float* M2 = NULL; // M1 +float* M3 = NULL; // M1 +double* T = NULL; +//================================================================ +int connectivity_large; +int* NeighborhoodLarge = NULL; +int* Simplicies1 = NULL; +int* Simplicies2 = NULL; +int* signsX = NULL; +int* signsY = NULL; +float* h1 = NULL; +float* h2 = NULL; +float* h1_h2 = NULL; +float* h22 = NULL; +float* q_gradient = NULL; +//================================================================ +float w; // regularisation parameter +float Dmax; +double* start_points = NULL; +int nb_start_points; + + +// min-heap +int* Tree; +int* Trial; +int* PtrToTrial; + +//================================================================ +// MIN-HEAP +//================================================================ + +//================================================================ +int Tree_GetFather(int position) +//================================================================ +{ + if(position) + { + if (ceil((float)position/2)==((float)position/2)) + return (position/2 -1); + else + return((position-1)/2); + } + else + return -1; +}; + +//================================================================ +// Tree_PushIn +/* +COMMENTS : +The tree is updated, since the value at the bottom is no longer +necessarily greater than the value of its father. Starting from +the bottom of the tree (the node we have just pushed in), the +value of each node is compared with the value of its father. If +the value of the father is greater, the two nodes are permuted. +The process stops when the top of the tree has been reached. +*/ +//================================================================ +int Tree_PushIn(int NewPosition) +{ + *(++PtrToTrial) = NewPosition; + int position = (int)(PtrToTrial - Trial); + Tree[NewPosition] = position; + int s_idx = Trial[position]; + int f_idx = Trial[Tree_GetFather(position)]; + while((position!=0)&&(U[s_idx]= 0)&&(!stop)) + { + if((Tree_GetRightSon(position)>0)&&(Tree_GetLeftSon(position)>0)) + { + int ls_idx = Trial[Tree_GetLeftSon(position)]; + int rs_idx = Trial[Tree_GetRightSon(position)]; + if( U[ls_idx] <= U[rs_idx] ) + { + Trial[position] = Trial[Tree_GetLeftSon(position)]; + Tree[Trial[position]] = position; + position = Tree_GetLeftSon(position); + } + else + { + Trial[position] = Trial[Tree_GetRightSon(position)]; + Tree[Trial[position]] = (position); + position = Tree_GetRightSon(position); + } + } + else + if(Tree_GetLeftSon(position)>0) + { + Trial[position] = Trial[Tree_GetLeftSon(position)]; + Tree[Trial[position]] = (position); + position = Tree_GetLeftSon(position); + } + else + stop = true; + } + if(position != (PtrToTrial - Trial)) + { + Tree[*PtrToTrial] = position; + Trial[position]=*PtrToTrial; + int s_idx = Trial[position]; + int f_idx = Trial[Tree_GetFather(position)]; + while((position!=0)&&(U[s_idx]=size) + mexErrMsgTxt("start_points should in the domaine."); + //-------------------------------------------------------- + if( U[point]==0 ) + mexErrMsgTxt("start_points should not contain duplicates."); + //-------------------------------------------------------- + U[point] = 0.0; L[point] = 0.0; S[point] = kOpen; V[point] = s; + // add to heap + Tree_PushIn(point); + //-------------------------------------------------------- + } +}; + +//================================================================ +void TsitsiklisQuadrantLength(float*result, float Pc,float Ua,float Ub, int QuadNb) +//================================================================ +{ + float ha, hb, hb2, ha_hb; + ha = h1[QuadNb]; + hb = h2[QuadNb]; + hb2= h22[QuadNb]; + ha_hb = h1_h2[QuadNb]; + //----------------------------------------------------------- + if (Ua<=Ub) + *result = Ua + Pc*ha; + //----------------------------------------------------------- + else if( Pc*hb <= (Ua-Ub)*sqrt_hx2_plus_hy2/hb) + *result = Ub + Pc*sqrt_hx2_plus_hy2; + //----------------------------------------------------------- + else + *result = Ua + ha_hb*sqrt(Pc*Pc*hb2 - (Ua-Ub)*(Ua-Ub)); + //----------------------------------------------------------- +}; + +//================================================================ +void TsitsiklisQuadrantGradient(float* result_gradient, float m1, float m2, float m3, + float Ua,float Ub, int QuadNb) +//================================================================ +{ + float ha, hb, hb2, ha_hb; + float k1, k2, alpha, r11, r12, r22, R; + //----------------------------------------------------------- + k1 = Ua - Ub; + k2 = Ub; + if(QuadNb < 4){ + r11 = m2; + r12 = m2 + m3*(signsX[QuadNb]*signsY[QuadNb]); + } + else{ + r11 = m1; + r12 = m1 + m3*(signsX[QuadNb]*signsY[QuadNb]); + } + r22 = m2 + 2.0*m3*(signsX[QuadNb]*signsY[QuadNb]) + m1; + R = r11*r22 - r12*r12;// toujours positif + //----------------------------------------------------------- + if ( k1 >= sqrt(r11) ){ + result_gradient[0] = Ub + sqrt(r22); + result_gradient[1] = signsX[QuadNb]/sqrt(r22); + result_gradient[2] = signsY[QuadNb]/sqrt(r22); + } + //----------------------------------------------------------- + else if(k1 <= -sqrt(r11)){ + if(QuadNb < 4){ + result_gradient[0] = Ua + sqrt(m1); + result_gradient[1] = signsX[QuadNb]/sqrt(m1); + result_gradient[2] = 0.0; + } + else{ + result_gradient[0] = Ua + sqrt(m2); + result_gradient[1] = 0.0; + result_gradient[2] = signsY[QuadNb]/sqrt(m2); + } + } + //----------------------------------------------------------- + else{ + //------------------------------------------------------- + if( r12 <= k1*sqrt(R/(r11-k1*k1)) ){ + result_gradient[0] = Ub + sqrt(r22); + result_gradient[1] = signsX[QuadNb]/sqrt(r22); + result_gradient[2] = signsY[QuadNb]/sqrt(r22); + } + //------------------------------------------------------- + else if( r12 > (r11 + k1*sqrt(R/(r11-k1*k1))) ){ + if(QuadNb < 4){ + result_gradient[0] = Ua + sqrt(m1); + result_gradient[1] = signsX[QuadNb]/sqrt(m1); + result_gradient[2] = 0.0; + } + else{ + result_gradient[0] = Ua + sqrt(m2); + result_gradient[1] = 0.0; + result_gradient[2] = signsY[QuadNb]/sqrt(m2); + } + } + //------------------------------------------------------- + else{ + alpha = (r12 - k1*sqrt(R/(r11-k1*k1))) / r11; + result_gradient[0] = alpha*k1 + k2 + sqrt(R/(r11-k1*k1)); + if(QuadNb < 4){ + result_gradient[1] = signsX[QuadNb]/ sqrt(R/(r11-k1*k1)); + result_gradient[2] = (1-alpha)*signsY[QuadNb]/sqrt(R/(r11-k1*k1)); + } + else{ + result_gradient[1] = (1-alpha)*signsX[QuadNb]/ sqrt(R/(r11-k1*k1)); + result_gradient[2] = signsY[QuadNb]/sqrt(R/(r11-k1*k1)); + } + } + } +}; + +//================================================================ +bool TsitsiklisUpdate(int point) +/* +COMMENTS : +*/ +//================================================================ +{ + int npoint1, npoint2; + float Ua, Ub, La, Lb; + float Ur = U[point]; + short Vr = V[point]; + float Lr = L[point]; + float dUxr = dUx[point]; + float dUyr = dUy[point]; + bool is_updated = false; + //-------------------------------------------------------------- + // Get the U & L values for each neighbor. + for (int i=0;i0){ + point = Tree_PopHead(); + if(S[point]!=kOpen) + mexErrMsgTxt("err"); + S[point]=kDead; + Lmax = MAX(Lmax, L[point]); + if(Dmax>0) + if(Lmax > Dmax) + break; + //-------------------------------------------------------------- + for (k=0;k +#include +#include +#include +#include +#include +#include +//#include "fheap/fib.h" +//#include "fheap/fibpriv.h" + +///////////////////////// +// numerical macros +///////////////////////// +#undef MIN +#undef MAX +#define MIN(a, b) ((a) < (b) ? (a) : (b)) //!< Returns the min value between a and b +#define MINMIN(a,b,c) ((a) < (b) ? MIN(a,c) : MIN(b,c)) +#define MAX(a, b) ((a) > (b) ? (a) : (b)) //!< Returns the max value between a and b +#define MAXMAX(a,b,c) ((a) > (b) ? MAX (a,c) : MAX (b,c)) +#define SCALE_01(x,rMin,rMax) ((x-rMin)/(rMax-rMin)) +#define ABS(a) ((a) > 0 ? (a) : -(a)) //!< Returns the absolute value a +#define SIGN(a) ((a) > 0 ? 1 : -1) //!< Returns the sign of a +#define SQR(x) ((x)*(x)) //!< Returns x square +#define CUBE(x) ((x)*(x)*(x)) //!< Returns x cube + +#define CLAMP_01(x) if( (x)<0 ) x=0; if( (x)>1 ) x=1 +#define CLAMP(x, a,b) if( (x)b ) x=b + +#define SWAP(x,y) x^=y; y^=x; x^=y +#define ORDER(x,y) if(x>y){ GW_SWAP(x,y); } + +///////////////////////// +// generic macros +///////////////////////// +/** a random number in [0-1] */ +#define RAND ((double) (rand()%10000))/10000 +/** a random number in [a,b] */ +#define RAND_RANGE(a,b) (a)+((b)-(a))*((GW_Float) (rand()%10000))/10000 +/** delete a single pointer */ +#define DELETE(p) {if (p!=NULL) delete p; p=NULL;} +/** delete an array pointer */ +#define DELETEARRAY(p) {if (p!=NULL) delete [] p; p=NULL;} + +///////////////////////// +// some constants +///////////////////////// +#define TRUE true +#define FALSE false +/** to make aproximate computations (derivation, float comparaisons ...) */ +#define EPSILON 1e-6 +/** very big number */ +#define INFINITE 1e9 + +///////////////////////// +// numerical constants +///////////////////////// + +/** pi */ +#define PI 3.1415926535897932384626433832795028841971693993751f +/** pi/2 */ +#define HALFPI 1.57079632679489661923f +/** 2*pi */ +#define TWOPI 6.28318530717958647692f +/** 1/pi */ +#define GW_INVPI 0.31830988618379067154f +/** 180/pi */ +#define RADTODEG(x) (x)*57.2957795130823208768f +/** pi/180 */ +#define DEGTORAD(x) (x)*0.01745329251994329577f +/** e */ +#define EXP 2.71828182845904523536f +/** 1/log10(2) */ +#define ILOG2 3.32192809488736234787f +/** 1/3 */ +#define INV3 0.33333333333333333333f +/** 1/6 */ +#define INV6 0.16666666666666666666f +/** 1/9 */ +#define INV7 0.14285714285714285714f +/** 1/9 */ +#define INV9 0.11111111111111111111f +/** 1/255 */ +#define INV255 0.00392156862745098039f +/** sqrt(2) */ +#define SQRT2 1.41421356237f + +//================================================================ +typedef std::vector LISTofINT; +typedef std::vector LISTofSHORT; +typedef std::vector LISTofFLOAT; +typedef std::vector LISTofBOOL; +typedef std::vector LISTofLISTofINT; +typedef std::vector LISTofLISTofBOOL; + +class MIN_PATH +{ + public: + int* V; + float U; + LISTofINT points; +}; +typedef std::vector LISTofMIN_PATH; + +class KEYPOINT +{ + public: + int point; + int V; + float U; +}; +typedef std::vector LISTofKEYPOINT; +//================================================================ + +inline int log2(int n) +{ + int x = 0; + while (n > 1) + { + x++; + n /= 2; + } + return x; +} + +inline int cmp(float a, float b) +{ + if (a < b) + return -1; + if (a == b) + return 0; + return 1; +} + +int sign(int v) +{ +return v > 0 ? 1 : (v < 0 ? -1 : 0); +} + + + +#endif // #ifndef FM_H diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/fm2dAniso.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/fm2dAniso.cpp new file mode 100644 index 0000000..a50ecbf --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/fm2dAniso.cpp @@ -0,0 +1,93 @@ +#include "fm2dAniso.h" + +void mexFunction( int nlhs, mxArray *plhs[], + int nrhs, const mxArray*prhs[] ) +{ + //------------------------------------------------------------------ + /* retrive arguments */ + //------------------------------------------------------------------ + if( (nrhs!=3) && (nrhs!=4) ) + mexErrMsgTxt("3 or 4 arguments are required."); + if( mxGetNumberOfDimensions(prhs[1])!= 4 ) + mexErrMsgTxt("HERE T must be a 2D x 2x2 tensor field of symmetric definite matrices."); + //------------------------------------------------------------------ + // First argument : spacing and dimensions + const int* dim_h = mxGetDimensions(prhs[0]); + if ( (dim_h[0]!=2) || (dim_h[1]!=1) ) + mexErrMsgTxt("Library error: h must be a 2x1 array list."); + hx = mxGetPr(prhs[0])[0]; hy = mxGetPr(prhs[0])[1]; + hx2 = hx*hx; hy2 = hy*hy; + hxhy = hx*hy; + hx2hy2 = hx*hx*hy*hy; + hx2_plus_hy2 = hx*hx + hy*hy; + sqrt_hx2_plus_hy2 = sqrt(hx2_plus_hy2); + nx = mxGetDimensions(prhs[1])[0]; + ny = mxGetDimensions(prhs[1])[1]; + if( (mxGetDimensions(prhs[1])[2] != 2) || (mxGetDimensions(prhs[1])[3] != 2) ) + mexErrMsgTxt("T must be a 2D x 2x2 tensor field of symmetric definite matrices."); + Nx = nx+2; Ny = ny+2; + size = Nx*Ny; nxny = nx*ny; + //------------------------------------------------------------------ + // Second argument : Anisotropy matrices + T = mxGetPr(prhs[1]); + //------------------------------------------------------------------ + // Third argument : start points + start_points = mxGetPr(prhs[2]); + nb_start_points = mxGetN(prhs[2]); + //------------------------------------------------------------------ + Dmax = 0.0; + //------------------------------------------------------------------ + // forth argument : max length to reach + if(nrhs==4) + Dmax = (float) mxGetScalar(prhs[3]); + //================================================================== + // Outputs + int dims[2] = {Nx,Ny}; + // First output : minimal action map + plhs[0] = mxCreateNumericArray(2, dims, mxSINGLE_CLASS, mxREAL ); + U = (float*) mxGetPr(plhs[0]); + // Second output : dUx + plhs[1] = mxCreateNumericArray(2, dims, mxSINGLE_CLASS, mxREAL ); + dUx = (float*) mxGetPr(plhs[1]); + // Third output : dUy + plhs[2] = mxCreateNumericArray(2, dims, mxSINGLE_CLASS, mxREAL ); + dUy = (float*) mxGetPr(plhs[2]); + // Fourth output : Voronoi diagramm + plhs[3] = mxCreateNumericArray(2, dims, mxINT16_CLASS, mxREAL ); + V = (short*) mxGetPr(plhs[3]); + // Fifth output : Euclidien Distance + plhs[4] = mxCreateNumericArray(2, dims, mxSINGLE_CLASS, mxREAL ); + L = (float*) mxGetPr(plhs[4]); + //================================================================== + InitializeNeighborhoods(); + //------------------------------------------------------------------ + InitializeArrays(); + //------------------------------------------------------------------ + InitializeOpenHeap(); + //------------------------------------------------------------------ + RunPropagation(); + //================================================================== + resize(); + dims[0] = Nx-2; dims[1] = Ny-2; + mxSetDimensions(plhs[0], dims, 2); + mxSetDimensions(plhs[1], dims, 2); + mxSetDimensions(plhs[2], dims, 2); + mxSetDimensions(plhs[3], dims, 2); + mxSetDimensions(plhs[4], dims, 2); + //================================================================== + DELETEARRAY(NeighborhoodLarge); + DELETEARRAY(Simplicies1); + DELETEARRAY(Simplicies2); + DELETEARRAY(signsX); + DELETEARRAY(signsY); + DELETEARRAY(h1); + DELETEARRAY(h2); + DELETEARRAY(h1_h2); + DELETEARRAY(h22); + DELETEARRAY(q_gradient); + DELETEARRAY(S); + DELETEARRAY(M1);DELETEARRAY(M2);DELETEARRAY(M3); + DELETEARRAY(Trial); + DELETEARRAY(Tree); + return; +} \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/fm2dAniso.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/fm2dAniso.h new file mode 100644 index 0000000..14c0824 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/anisotropic-fm-feth/fm2dAniso.h @@ -0,0 +1,597 @@ +// FastMarching2D.cpp : Defines the entry point for the DLL application. +// + +#include "fm.h" + +#define kDead -1 +#define kOpen -2 +#define kFar -3 +#define kBorder -4 + +/* Global variables */ +int nx; // real size on X +int ny; // real size on Y +int nxny; +int Nx, Ny; // size for computing +int size; +float hx, hy;// spacing +float hx2, hy2, hxhy; +float hx2hy2; +float hx2_plus_hy2; +float sqrt_hx2_plus_hy2; +float* U = NULL;// action map +float* dUx = NULL; +float* dUy = NULL; +float* L = NULL; // distance map +short* S = NULL; // states +short* V = NULL; // voronoi +float* M1 = NULL; // M1 +float* M2 = NULL; // M1 +float* M3 = NULL; // M1 +double* T = NULL; +//================================================================ +int connectivity_large; +int* NeighborhoodLarge = NULL; +int* Simplicies1 = NULL; +int* Simplicies2 = NULL; +int* signsX = NULL; +int* signsY = NULL; +float* h1 = NULL; +float* h2 = NULL; +float* h1_h2 = NULL; +float* h22 = NULL; +float* q_gradient = NULL; +//================================================================ +float w; // regularisation parameter +float Dmax; +double* start_points = NULL; +int nb_start_points; + + +// min-heap +int* Tree; +int* Trial; +int* PtrToTrial; + +//================================================================ +// MIN-HEAP +//================================================================ + +//================================================================ +int Tree_GetFather(int position) +//================================================================ +{ + if(position) + { + if (ceil((float)position/2)==((float)position/2)) + return (position/2 -1); + else + return((position-1)/2); + } + else + return -1; +}; + +//================================================================ +// Tree_PushIn +/* +COMMENTS : +The tree is updated, since the value at the bottom is no longer +necessarily greater than the value of its father. Starting from +the bottom of the tree (the node we have just pushed in), the +value of each node is compared with the value of its father. If +the value of the father is greater, the two nodes are permuted. +The process stops when the top of the tree has been reached. +*/ +//================================================================ +int Tree_PushIn(int NewPosition) +{ + *(++PtrToTrial) = NewPosition; + int position = (int)(PtrToTrial - Trial); + Tree[NewPosition] = position; + int s_idx = Trial[position]; + int f_idx = Trial[Tree_GetFather(position)]; + while((position!=0)&&(U[s_idx]= 0)&&(!stop)) + { + if((Tree_GetRightSon(position)>0)&&(Tree_GetLeftSon(position)>0)) + { + int ls_idx = Trial[Tree_GetLeftSon(position)]; + int rs_idx = Trial[Tree_GetRightSon(position)]; + if( U[ls_idx] <= U[rs_idx] ) + { + Trial[position] = Trial[Tree_GetLeftSon(position)]; + Tree[Trial[position]] = position; + position = Tree_GetLeftSon(position); + } + else + { + Trial[position] = Trial[Tree_GetRightSon(position)]; + Tree[Trial[position]] = (position); + position = Tree_GetRightSon(position); + } + } + else + if(Tree_GetLeftSon(position)>0) + { + Trial[position] = Trial[Tree_GetLeftSon(position)]; + Tree[Trial[position]] = (position); + position = Tree_GetLeftSon(position); + } + else + stop = true; + } + if(position != (PtrToTrial - Trial)) + { + Tree[*PtrToTrial] = position; + Trial[position]=*PtrToTrial; + int s_idx = Trial[position]; + int f_idx = Trial[Tree_GetFather(position)]; + while((position!=0)&&(U[s_idx]=size) + mexErrMsgTxt("start_points should in the domaine."); + //-------------------------------------------------------- + if( U[point]==0 ) + mexErrMsgTxt("start_points should not contain duplicates."); + //-------------------------------------------------------- + U[point] = 0.0; L[point] = 0.0; S[point] = kOpen; V[point] = s; + // add to heap + Tree_PushIn(point); + //-------------------------------------------------------- + } +}; + +//================================================================ +void TsitsiklisQuadrantLength(float*result, float Pc,float Ua,float Ub, int QuadNb) +//================================================================ +{ + float ha, hb, hb2, ha_hb; + ha = h1[QuadNb]; + hb = h2[QuadNb]; + hb2= h22[QuadNb]; + ha_hb = h1_h2[QuadNb]; + //----------------------------------------------------------- + if (Ua<=Ub) + *result = Ua + Pc*ha; + //----------------------------------------------------------- + else if( Pc*hb <= (Ua-Ub)*sqrt_hx2_plus_hy2/hb) + *result = Ub + Pc*sqrt_hx2_plus_hy2; + //----------------------------------------------------------- + else + *result = Ua + ha_hb*sqrt(Pc*Pc*hb2 - (Ua-Ub)*(Ua-Ub)); + //----------------------------------------------------------- +}; + +//================================================================ +void TsitsiklisQuadrantGradient(float* result_gradient, float m1, float m2, float m3, + float Ua,float Ub, int QuadNb) +//================================================================ +{ + float ha, hb, hb2, ha_hb; + float k1, k2, alpha, r11, r12, r22, R; + //----------------------------------------------------------- + k1 = Ua - Ub; + k2 = Ub; + if(QuadNb < 4){ + r11 = m2; + r12 = m2 + m3*(signsX[QuadNb]*signsY[QuadNb]); + } + else{ + r11 = m1; + r12 = m1 + m3*(signsX[QuadNb]*signsY[QuadNb]); + } + r22 = m2 + 2.0*m3*(signsX[QuadNb]*signsY[QuadNb]) + m1; + R = r11*r22 - r12*r12;// toujours positif + //----------------------------------------------------------- + if ( k1 >= sqrt(r11) ){ + result_gradient[0] = Ub + sqrt(r22); + result_gradient[1] = signsX[QuadNb]/sqrt(r22); + result_gradient[2] = signsY[QuadNb]/sqrt(r22); + } + //----------------------------------------------------------- + else if(k1 <= -sqrt(r11)){ + if(QuadNb < 4){ + result_gradient[0] = Ua + sqrt(m1); + result_gradient[1] = signsX[QuadNb]/sqrt(m1); + result_gradient[2] = 0.0; + } + else{ + result_gradient[0] = Ua + sqrt(m2); + result_gradient[1] = 0.0; + result_gradient[2] = signsY[QuadNb]/sqrt(m2); + } + } + //----------------------------------------------------------- + else{ + //------------------------------------------------------- + if( r12 <= k1*sqrt(R/(r11-k1*k1)) ){ + result_gradient[0] = Ub + sqrt(r22); + result_gradient[1] = signsX[QuadNb]/sqrt(r22); + result_gradient[2] = signsY[QuadNb]/sqrt(r22); + } + //------------------------------------------------------- + else if( r12 > (r11 + k1*sqrt(R/(r11-k1*k1))) ){ + if(QuadNb < 4){ + result_gradient[0] = Ua + sqrt(m1); + result_gradient[1] = signsX[QuadNb]/sqrt(m1); + result_gradient[2] = 0.0; + } + else{ + result_gradient[0] = Ua + sqrt(m2); + result_gradient[1] = 0.0; + result_gradient[2] = signsY[QuadNb]/sqrt(m2); + } + } + //------------------------------------------------------- + else{ + alpha = (r12 - k1*sqrt(R/(r11-k1*k1))) / r11; + result_gradient[0] = alpha*k1 + k2 + sqrt(R/(r11-k1*k1)); + if(QuadNb < 4){ + result_gradient[1] = signsX[QuadNb]/ sqrt(R/(r11-k1*k1)); + result_gradient[2] = (1-alpha)*signsY[QuadNb]/sqrt(R/(r11-k1*k1)); + } + else{ + result_gradient[1] = (1-alpha)*signsX[QuadNb]/ sqrt(R/(r11-k1*k1)); + result_gradient[2] = signsY[QuadNb]/sqrt(R/(r11-k1*k1)); + } + } + } +}; + +//================================================================ +bool TsitsiklisUpdate(int point) +/* +COMMENTS : +*/ +//================================================================ +{ + int npoint1, npoint2; + float Ua, Ub, La, Lb; + float Ur = U[point]; + short Vr = V[point]; + float Lr = L[point]; + float dUxr = dUx[point]; + float dUyr = dUy[point]; + bool is_updated = false; + //-------------------------------------------------------------- + // Get the U & L values for each neighbor. + for (int i=0;i0){ + point = Tree_PopHead(); + if(S[point]!=kOpen) + mexErrMsgTxt("err"); + S[point]=kDead; + Lmax = MAX(Lmax, L[point]); + if(Dmax>0) + if(Lmax > Dmax) + break; + //-------------------------------------------------------------- + for (k=0;k point_list; + +inline +bool end_points_reached(const int i, const int j ) +{ + for( int k=0; kfhe_data; + if( H==NULL ) + { + if( D_(i,j)>D_(pt.i,pt.j) ) + ERROR_MSG("Problem with heap.\n"); + } + else + { + if( D_(i,j)+H_(i,j)>D_(pt.i,pt.j)+H_(pt.i,pt.j) ) + ERROR_MSG("Problem with heap.\n"); + } + } + } +} + + + +void perform_front_propagation_2d(T_callback_intert_node callback_insert_node) +{ + // create the Fibonacci heap + struct fibheap* open_heap = fh_makeheap(); + fh_setcmp(open_heap, compare_points); + + double h = 1.0/n; + + // initialize points + for( int i=0; i=0 && jj>=0 && ii0 ) + { + bool bParticipate = true; + if( callback_insert_node!=NULL ) + bParticipate = callback_insert_node(ii,jj,ii-1,jj); + if( bParticipate ) + { + if( D_(ii-1,jj)0 ) + { + bool bParticipate = true; + if( callback_insert_node!=NULL ) + bParticipate = callback_insert_node(ii,jj,ii,jj-1); + if( bParticipate ) + { + if( D_(ii,jj-1)a2 ) // swap so that a1= a2 >= a1. + double A1 = 0; + if( P*P > (a2-a1)*(a2-a1) ) + { + double delta = 2*P*P-(a2-a1)*(a2-a1); + A1 = (a1+a2+sqrt(delta))/2.0; + } + else + A1 = a1 + P; + if( ((int) S_(ii,jj)) == kDead ) + { + // check if action has change. Should not happen for FM + // if( A1=0 ) + Q_(ii,jj) = k1; + else + Q_(ii,jj) = k2; + Q_(ii,jj) = Q_(i,j); + } +#endif + } + else if( ((int) S_(ii,jj)) == kOpen ) + { + // check if action has change. + if( A1=0 ) + Q_(ii,jj) = k1; + else + Q_(ii,jj) = k2; + Q_(ii,jj) = Q_(i,j); + // Modify the value in the heap + fibheap_el* cur_el = heap_pool_(ii,jj); + if( cur_el!=NULL ) + fh_replacedata( open_heap, cur_el, cur_el->fhe_data ); // use same data for update + else + ERROR_MSG("Error in heap pool allocation."); + } + } + else if( ((int) S_(ii,jj)) == kFar ) + { + if( D_(ii,jj)!=GW_INFINITE ) + ERROR_MSG("Distance must be initialized to Inf"); + if( L==NULL || A1<=L_(ii,jj) ) + { + S_(ii,jj) = kOpen; + // distance must have change. + D_(ii,jj) = A1; + // update the value of the closest starting point + if( GW_ABS(a1-A1)=0 ) + Q_(ii,jj) = k1; + else + Q_(ii,jj) = k2; + Q_(ii,jj) = Q_(i,j); + // add to open list + point* pt = new point(ii,jj); + existing_points.push_back( pt ); + heap_pool_(ii,jj) = fh_insert( open_heap, pt ); // add to heap + } + } + else + ERROR_MSG("Unkwnown state."); + + } // end switch + } // end for + } // end while + +// char msg[200]; +// sprintf(msg, "Cool %f", Q_(100,100) ); +// WARN_MSG( msg ); + + // free heap + fh_deleteheap(open_heap); + // free point pool + for( point_list::iterator it = existing_points.begin(); it!=existing_points.end(); ++it ) + GW_DELETE( *it ); + // free fibheap pool + GW_DELETEARRAY(heap_pool); +} diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/backup/.svn/text-base/perform_front_propagation_3d - copie.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/backup/.svn/text-base/perform_front_propagation_3d - copie.cpp.svn-base new file mode 100644 index 0000000..7638bda --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/backup/.svn/text-base/perform_front_propagation_3d - copie.cpp.svn-base @@ -0,0 +1,387 @@ +/*================================================================= +% perform_front_propagation_3d - perform a Fast Marching front propagation. +% +% OLD : [D,S] = perform_front_propagation_2d(W,start_points,end_points,nb_iter_max,H); +% [D,S,Q] = perform_front_propagation_3d(W,start_points,end_points,nb_iter_max, H, L); +% +% 'D' is a 2D array containing the value of the distance function to seed. +% 'S' is a 2D array containing the state of each point : +% -1 : dead, distance have been computed. +% 0 : open, distance is being computed but not set. +% 1 : far, distance not already computed. +% 'W' is the weight matrix (inverse of the speed). +% 'start_points' is a 3 x num_start_points matrix where k is the number of starting points. +% 'H' is an heuristic (distance that remains to goal). This is a 2D matrix. +% +% Copyright (c) 2004 Gabriel Peyré +*=================================================================*/ + + +#include +#include "mex.h" +#include "config.h" +#include "fheap/fib.h" +#include "fheap/fibpriv.h" +#include +#include +#include +#include + +#define kDead -1 +#define kOpen 0 +#define kFar 1 + +#define ACCESS_ARRAY(a,i,j,k) a[(i)+n*(j)+n*p*(k)] +#define D_(i,j,k) ACCESS_ARRAY(D,i,j,k) +#define S_(i,j,k) ACCESS_ARRAY(S,i,j,k) +#define W_(i,j,k) ACCESS_ARRAY(W,i,j,k) +#define H_(i,j,k) ACCESS_ARRAY(H,i,j,k) +#define L_(i,j,k) ACCESS_ARRAY(L,i,j,k) +#define Q_(i,j,k) ACCESS_ARRAY(Q,i,j,k) +#define heap_pool_(i,j,k) ACCESS_ARRAY(heap_pool,i,j,k) +#define start_points_(i,s) start_points[(i)+3*(s)] +#define end_points_(i,s) end_points[(i)+3*(s)] + +/* Global variables */ +int n; // size on X +int p; // size on Y +int q; // size on Z +double* D = NULL; +double* S = NULL; +double* W = NULL; +double* Q = NULL; +double* values = NULL; +double* start_points = NULL; +double* end_points = NULL; +double* H = NULL; +double* L = NULL; +int nb_iter_max = 100000; +int nb_start_points = 0; +int nb_end_points = 0; +fibheap_el** heap_pool = NULL; + +struct point +{ + point( int ii, int jj, int kk ) + { i = ii; j = jj; k = kk; } + int i,j,k; +}; +typedef std::vector point_list; + +inline bool end_points_reached(const int i, const int j, const int k ) +{ + for( int s=0; sfhe_data ); + if( H==NULL ) + { + if( D_(i,j,k)>D_(pt.i,pt.j,pt.k) ) + mexErrMsgTxt("Problem with heap.\n"); + } + else + { + if( D_(i,j,k)+H_(i,j,k)>D_(pt.i,pt.j,pt.k)+H_(pt.i,pt.j,pt.k) ) + mexErrMsgTxt("Problem with heap.\n"); + } + } + } +} + +// select to test or not to test (debug purpose) +// #define CHECK_HEAP check_heap(i,j,k); +#define CHECK_HEAP + +void mexFunction( int nlhs, mxArray *plhs[], + int nrhs, const mxArray*prhs[] ) +{ + /* retrive arguments */ + if( nrhs<4 ) + mexErrMsgTxt("4 - 7 input arguments are required."); + if( nlhs<1 ) + mexErrMsgTxt("1, 2 or 3 output arguments are required."); + + // first argument : weight list + if( mxGetNumberOfDimensions(prhs[0])!= 3 ) + mexErrMsgTxt("W must be a 3D array."); + n = mxGetDimensions(prhs[0])[0]; + p = mxGetDimensions(prhs[0])[1]; + q = mxGetDimensions(prhs[0])[2]; + W = mxGetPr(prhs[0]); + // second argument : start_points + start_points = mxGetPr(prhs[1]); + int tmp = mxGetM(prhs[1]); + nb_start_points = mxGetN(prhs[1]); + if( nb_start_points==0 || tmp!=3 ) + mexErrMsgTxt("start_points must be of size 3 x nb_start_poins."); + // third argument : end_points + end_points = mxGetPr(prhs[2]); + tmp = mxGetM(prhs[2]); + nb_end_points = mxGetN(prhs[2]); + if( nb_end_points!=0 && tmp!=3 ) + mexErrMsgTxt("end_points must be of size 3 x nb_end_poins."); + // argument 4 : nb_iter_max + nb_iter_max = (int) *mxGetPr(prhs[3]); + // argument 5 : heuristic + if( nrhs>=5 ) + { + H = mxGetPr(prhs[4]); + if( mxGetNumberOfDimensions(prhs[4])!= 3 ) + mexErrMsgTxt("H must be a 3D array."); + if( mxGetDimensions(prhs[4])[0]!=n || mxGetDimensions(prhs[4])[1]!=p || mxGetDimensions(prhs[4])[2]!=q ) + mexErrMsgTxt("H must be of size n x p x q."); + } + else + H = NULL; + // argument 6 : constraint map + if( nrhs>=5 ) + { + L = mxGetPr(prhs[5]); + if( mxGetNumberOfDimensions(prhs[5])!= 3 ) + mexErrMsgTxt("L must be a 3D array."); + if( mxGetDimensions(prhs[5])[0]!=n || mxGetDimensions(prhs[5])[1]!=p || mxGetDimensions(prhs[5])[2]!=q ) + mexErrMsgTxt("L must be of size n x p x q."); + } + else + L = NULL; + // argument 7: value list + if( nrhs>=6 ) + { + values = mxGetPr(prhs[6]); + if( mxGetM(prhs[6])==0 && mxGetN(prhs[6])==0 ) + values=NULL; + if( values!=NULL && (mxGetM(prhs[6])!=nb_start_points || mxGetN(prhs[6])!=1) ) + mexErrMsgTxt("values must be of size nb_start_points x 1."); + } + else + values = NULL; + + // first ouput : distance + int dims[3] = {n,p,q}; + plhs[0] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL ); + D = mxGetPr(plhs[0]); + // second output : state + if( nlhs>=2 ) + { + plhs[1] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL ); + S = mxGetPr(plhs[1]); + } + else + { + S = new double[n*p*q]; + } + // third output : index + if( nlhs>=3 ) + { + plhs[2] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL ); + Q = mxGetPr(plhs[2]); + } + else + { + Q = new double[n*p,q]; + } + + // create the Fibonacci heap + struct fibheap* open_heap = fh_makeheap(); + fh_setcmp(open_heap, compare_points); + + double h = 1.0/n; + + // initialize points + for( int i=0; i=0 && jj>=0 && ii=0 && kk0 ) + a1 = GW_MIN( a1, D_(ii-1,jj,kk) ); + double a2 = GW_INFINITE; + if( jj0 ) + a2 = GW_MIN( a2, D_(ii,jj-1,kk) ); + double a3 = GW_INFINITE; + if( kk0 ) + a3 = GW_MIN( a3, D_(ii,jj,kk-1) ); + // order so that a1b) { SWAP(a,b); } + SWAPIF(a2,a3) + SWAPIF(a1,a2) + SWAPIF(a2,a3) + // update its distance + // now the equation is (a-a1)^2+(a-a2)^2+(a-a3)^2 - P^2 = 0, with a >= a3 >= a2 >= a1. + // => 3*a^2 - 2*(a2+a1+a3)*a - P^2 + a1^2 + a3^2 + a2^2 + // => delta = (a2+a1+a3)^2 - 3*(a1^2 + a3^2 + a2^2 - P^2) + double delta = (a2+a1+a3)*(a2+a1+a3) - 3*(a1*a1 + a2*a2 + a3*a3 - P*P); + double A1 = 0; + if( delta>=0 ) + A1 = ( a2+a1+a3 + sqrt(delta) )/3.0; + if( A1<=a3 ) + { + // at least a3 is too large, so we have + // a >= a2 >= a1 and a 2*a^2 - 2*(a1+a2)*a + a1^2+a2^2-P^2 + // delta = (a2+a1)^2 - 2*(a1^2 + a2^2 - P^2) + delta = (a2+a1)*(a2+a1) - 2*(a1*a1 + a2*a2 - P*P); + A1 = 0; + if( delta>=0 ) + A1 = 0.5 * ( a2+a1 +sqrt(delta) ); + if( A1<=a2 ) + A1 = a1 + P; + } + // update the value + if( ((int) S_(ii,jj,kk)) == kDead ) + { + // check if action has change. Should not appen for FM + // if( A1fhe_data ); // use same data for update + else + mexErrMsgTxt("Error in heap pool allocation."); + } + } + else if( ((int) S_(ii,jj,kk)) == kFar ) + { + if( D_(ii,jj,kk)!=GW_INFINITE ) + mexWarnMsgTxt("Distance must be initialized to Inf"); + S_(ii,jj,kk) = kOpen; + // distance must have change. + D_(ii,jj,kk) = A1; + // add to open list + point* pt = new point(ii,jj,kk); + existing_points.push_back( pt ); + heap_pool_(ii,jj,kk) = fh_insert( open_heap, pt ); // add to heap + } + else + mexErrMsgTxt("Unkwnown state."); + } // end swich + } // end for + } // end while + + // free heap + fh_deleteheap(open_heap); + // free point pool + for( point_list::iterator it = existing_points.begin(); it!=existing_points.end(); ++it ) + GW_DELETE( *it ); + // free fibheap pool + GW_DELETEARRAY(heap_pool); + + if( nlhs<2 ) + GW_DELETEARRAY(S); + if( nlhs<3 ) + GW_DELETEARRAY(Q); + + return; +} \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/backup/.svn/text-base/perform_front_propagation_3d_old.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/backup/.svn/text-base/perform_front_propagation_3d_old.cpp.svn-base new file mode 100644 index 0000000..bb3f3fb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/backup/.svn/text-base/perform_front_propagation_3d_old.cpp.svn-base @@ -0,0 +1,301 @@ +/*================================================================= +% perform_front_propagation_3d - perform a Fast Marching front propagation. +% +% [D,S] = perform_front_propagation_2d(W,start_points,end_points,nb_iter_max,H); +% +% 'D' is a 2D array containing the value of the distance function to seed. +% 'S' is a 2D array containing the state of each point : +% -1 : dead, distance have been computed. +% 0 : open, distance is being computed but not set. +% 1 : far, distance not already computed. +% 'W' is the weight matrix (inverse of the speed). +% 'start_points' is a 3 x num_start_points matrix where k is the number of starting points. +% 'H' is an heuristic (distance that remains to goal). This is a 2D matrix. +% +% Copyright (c) 2004 Gabriel Peyré +*=================================================================*/ + +#define kDead -1 +#define kOpen 0 +#define kFar 1 + +#include +#include "mex.h" +#include "config.h" +#include +#include +#include +#include + +#define D_(i,j,k) D[(i)+n*(j)+n*p*(k)] +#define S_(i,j,k) S[(i)+n*(j)+n*p*(k)] +#define W_(i,j,k) W[(i)+n*(j)+n*p*(k)] +#define H_(i,j,k) H[(i)+n*(j)+n*p*(k)] +#define start_points_(i,s) start_points[(i)+3*(s)] +#define end_points_(i,s) end_points[(i)+3*(s)] + +/* Global variables */ +int n; // size on X +int p; // size on Y +int q; // size on Z +double* D = NULL; +double* S = NULL; +double* W = NULL; +double* start_points = NULL; +double* end_points = NULL; +double* H = NULL; +int nb_iter_max = 100000; +int nb_start_points = 0; +int nb_end_points = 0; + +struct point +{ + point( int ii, int jj, int kk ) + { i = ii; j = jj; k = kk; } + int i; + int j; + int k; +}; +typedef std::vector point_list; + +inline bool end_points_reached(const int i, const int j, const int k ) +{ + for( int s=0; s D_(b.i,b.j,b.k); + else + return (D_(a.i,a.j,a.k)+H_(a.i,a.j,a.k)) > (D_(b.i,b.j,b.k)+H_(b.i,b.j,b.k)); +} + +// test the heap validity +void check_heap( int i, int j, int k, point_list& open_list ) +{ + // test the heap + for( int s=0; s<(int)open_list.size(); ++s ) + { + point pt = open_list[s]; + if( H==NULL ) + { + if( D_(i,j,k)>D_(pt.i,pt.j,pt.k) ) + printf("Problem with heap.\n"); + } + else + { + if( D_(i,j,k)+H_(i,j,k)>D_(pt.i,pt.j,pt.k)+H_(pt.i,pt.j,pt.k) ) + printf("Problem with heap.\n"); + } + } +} + +// select to test or not to test (debug purpose) +// #define CHECK_HEAP check_heap(i,j,k,open_list); +#define CHECK_HEAP + +void mexFunction( int nlhs, mxArray *plhs[], + int nrhs, const mxArray*prhs[] ) +{ + /* retrive arguments */ + if( nrhs<4 ) + mexErrMsgTxt("4 or 5 input arguments are required."); + if( nlhs<1 ) + mexErrMsgTxt("1 or 2 output arguments are required."); + + // first argument : weight list + if( mxGetNumberOfDimensions(prhs[0])!= 3 ) + mexErrMsgTxt("W must be a 3D array."); + n = mxGetDimensions(prhs[0])[0]; + p = mxGetDimensions(prhs[0])[1]; + q = mxGetDimensions(prhs[0])[2]; + W = mxGetPr(prhs[0]); + // second argument : start_points + start_points = mxGetPr(prhs[1]); + int tmp = mxGetM(prhs[1]); + nb_start_points = mxGetN(prhs[1]); + if( nb_start_points==0 || tmp!=3 ) + mexErrMsgTxt("start_points must be of size 3 x nb_start_poins."); + // third argument : end_points + end_points = mxGetPr(prhs[2]); + tmp = mxGetM(prhs[2]); + nb_end_points = mxGetN(prhs[2]); + if( nb_end_points!=0 && tmp!=3 ) + mexErrMsgTxt("end_points must be of size 3 x nb_end_poins."); + // third argument : nb_iter_max + nb_iter_max = (int) *mxGetPr(prhs[3]); + // second argument : heuristic + if( nrhs==5 ) + { + H = mxGetPr(prhs[4]); + if( mxGetNumberOfDimensions(prhs[4])!= 3 ) + mexErrMsgTxt("H must be a 3D array."); + if( mxGetDimensions(prhs[4])[0]!=n || mxGetDimensions(prhs[4])[1]!=p || mxGetDimensions(prhs[4])[2]!=q ) + mexErrMsgTxt("H must be of size n x p x q."); + } + else + H = NULL; + // first ouput : distance + int dims[3] = {n,p,q}; + plhs[0] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL ); + D = mxGetPr(plhs[0]); + // second output : state + if( nlhs>=2 ) + { + plhs[1] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL ); + S = mxGetPr(plhs[1]); + } + else + { + S = new double[n*p*q]; + } + + double h = 1.0/n; + + // initialize points + for( int i=0; i=0 && jj>=0 && ii=0 && kk0 ) + a1 = GW_MIN( a1, D_(ii-1,jj,kk) ); + double a2 = GW_INFINITE; + if( jj0 ) + a2 = GW_MIN( a2, D_(ii,jj-1,kk) ); + double a3 = GW_INFINITE; + if( kk0 ) + a3 = GW_MIN( a3, D_(ii,jj,kk-1) ); + // order so that a1b) { SWAP(a,b); } + SWAPIF(a2,a3) + SWAPIF(a1,a2) + SWAPIF(a2,a3) + // update its distance + // now the equation is (a-a1)^2+(a-a2)^2+(a-a3)^2 - P^2 = 0, with a >= a3 >= a2 >= a1. + // => 3*a^2 - 2*(a2+a1+a3)*a - P^2 + a1^2 + a3^2 + a2^2 + // => delta = (a2+a1+a3)^2 - 3*(a1^2 + a3^2 + a2^2 - P^2) + double delta = (a2+a1+a3)*(a2+a1+a3) - 3*(a1*a1 + a2*a2 + a3*a3 - P*P); + double A1 = 0; + if( delta>=0 ) + A1 = ( a2+a1+a3 + sqrt(delta) )/3.0; + if( A1<=a3 ) + { + // at least a3 is too large, so we have + // a >= a2 >= a1 and a 2*a^2 - 2*(a1+a2)*a + a1^2+a2^2-P^2 + // delta = (a2+a1)^2 - 2*(a1^2 + a2^2 - P^2) + delta = (a2+a1)*(a2+a1) - 2*(a1*a1 + a2*a2 - P*P); + A1 = 0; + if( delta>=0 ) + A1 = 0.5 * ( a2+a1 +sqrt(delta) ); + if( A1<=a2 ) + A1 = a1 + P; + } + // update the value + if( ((int) S_(ii,jj,kk)) == kDead ) + { + // check if action has change. Should not appen for FM + // if( A1 (malloc(size*ndims*sizeof(double))); + for(int i=0; i march(dist_data, + w,h,d, + mask_data, + tensor_data, + NULL, // tensor_power_data, + alpha); + // set up starting points + for( int i=0; i point_list; + +inline +bool end_points_reached(const int i, const int j ) +{ + for( int k=0; kfhe_data; + if( H==NULL ) + { + if( D_(i,j)>D_(pt.i,pt.j) ) + ERROR_MSG("Problem with heap.\n"); + } + else + { + if( D_(i,j)+H_(i,j)>D_(pt.i,pt.j)+H_(pt.i,pt.j) ) + ERROR_MSG("Problem with heap.\n"); + } + } + } +} + + + +void perform_front_propagation_2d(T_callback_intert_node callback_insert_node) +{ + // create the Fibonacci heap + struct fibheap* open_heap = fh_makeheap(); + fh_setcmp(open_heap, compare_points); + + double h = 1.0/n; + + // initialize points + for( int i=0; i=0 && jj>=0 && ii0 ) + { + bool bParticipate = true; + if( callback_insert_node!=NULL ) + bParticipate = callback_insert_node(ii,jj,ii-1,jj); + if( bParticipate ) + { + if( D_(ii-1,jj)0 ) + { + bool bParticipate = true; + if( callback_insert_node!=NULL ) + bParticipate = callback_insert_node(ii,jj,ii,jj-1); + if( bParticipate ) + { + if( D_(ii,jj-1)a2 ) // swap so that a1= a2 >= a1. + double A1 = 0; + if( P*P > (a2-a1)*(a2-a1) ) + { + double delta = 2*P*P-(a2-a1)*(a2-a1); + A1 = (a1+a2+sqrt(delta))/2.0; + } + else + A1 = a1 + P; + if( ((int) S_(ii,jj)) == kDead ) + { + // check if action has change. Should not happen for FM + // if( A1=0 ) + Q_(ii,jj) = k1; + else + Q_(ii,jj) = k2; + Q_(ii,jj) = Q_(i,j); + } +#endif + } + else if( ((int) S_(ii,jj)) == kOpen ) + { + // check if action has change. + if( A1=0 ) + Q_(ii,jj) = k1; + else + Q_(ii,jj) = k2; + Q_(ii,jj) = Q_(i,j); + // Modify the value in the heap + fibheap_el* cur_el = heap_pool_(ii,jj); + if( cur_el!=NULL ) + fh_replacedata( open_heap, cur_el, cur_el->fhe_data ); // use same data for update + else + ERROR_MSG("Error in heap pool allocation."); + } + } + else if( ((int) S_(ii,jj)) == kFar ) + { + if( D_(ii,jj)!=GW_INFINITE ) + ERROR_MSG("Distance must be initialized to Inf"); + if( L==NULL || A1<=L_(ii,jj) ) + { + S_(ii,jj) = kOpen; + // distance must have change. + D_(ii,jj) = A1; + // update the value of the closest starting point + if( GW_ABS(a1-A1)=0 ) + Q_(ii,jj) = k1; + else + Q_(ii,jj) = k2; + Q_(ii,jj) = Q_(i,j); + // add to open list + point* pt = new point(ii,jj); + existing_points.push_back( pt ); + heap_pool_(ii,jj) = fh_insert( open_heap, pt ); // add to heap + } + } + else + ERROR_MSG("Unkwnown state."); + + } // end switch + } // end for + } // end while + +// char msg[200]; +// sprintf(msg, "Cool %f", Q_(100,100) ); +// WARN_MSG( msg ); + + // free heap + fh_deleteheap(open_heap); + // free point pool + for( point_list::iterator it = existing_points.begin(); it!=existing_points.end(); ++it ) + GW_DELETE( *it ); + // free fibheap pool + GW_DELETEARRAY(heap_pool); +} diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/backup/perform_front_propagation_3d - copie.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/backup/perform_front_propagation_3d - copie.cpp new file mode 100644 index 0000000..7638bda --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/backup/perform_front_propagation_3d - copie.cpp @@ -0,0 +1,387 @@ +/*================================================================= +% perform_front_propagation_3d - perform a Fast Marching front propagation. +% +% OLD : [D,S] = perform_front_propagation_2d(W,start_points,end_points,nb_iter_max,H); +% [D,S,Q] = perform_front_propagation_3d(W,start_points,end_points,nb_iter_max, H, L); +% +% 'D' is a 2D array containing the value of the distance function to seed. +% 'S' is a 2D array containing the state of each point : +% -1 : dead, distance have been computed. +% 0 : open, distance is being computed but not set. +% 1 : far, distance not already computed. +% 'W' is the weight matrix (inverse of the speed). +% 'start_points' is a 3 x num_start_points matrix where k is the number of starting points. +% 'H' is an heuristic (distance that remains to goal). This is a 2D matrix. +% +% Copyright (c) 2004 Gabriel Peyré +*=================================================================*/ + + +#include +#include "mex.h" +#include "config.h" +#include "fheap/fib.h" +#include "fheap/fibpriv.h" +#include +#include +#include +#include + +#define kDead -1 +#define kOpen 0 +#define kFar 1 + +#define ACCESS_ARRAY(a,i,j,k) a[(i)+n*(j)+n*p*(k)] +#define D_(i,j,k) ACCESS_ARRAY(D,i,j,k) +#define S_(i,j,k) ACCESS_ARRAY(S,i,j,k) +#define W_(i,j,k) ACCESS_ARRAY(W,i,j,k) +#define H_(i,j,k) ACCESS_ARRAY(H,i,j,k) +#define L_(i,j,k) ACCESS_ARRAY(L,i,j,k) +#define Q_(i,j,k) ACCESS_ARRAY(Q,i,j,k) +#define heap_pool_(i,j,k) ACCESS_ARRAY(heap_pool,i,j,k) +#define start_points_(i,s) start_points[(i)+3*(s)] +#define end_points_(i,s) end_points[(i)+3*(s)] + +/* Global variables */ +int n; // size on X +int p; // size on Y +int q; // size on Z +double* D = NULL; +double* S = NULL; +double* W = NULL; +double* Q = NULL; +double* values = NULL; +double* start_points = NULL; +double* end_points = NULL; +double* H = NULL; +double* L = NULL; +int nb_iter_max = 100000; +int nb_start_points = 0; +int nb_end_points = 0; +fibheap_el** heap_pool = NULL; + +struct point +{ + point( int ii, int jj, int kk ) + { i = ii; j = jj; k = kk; } + int i,j,k; +}; +typedef std::vector point_list; + +inline bool end_points_reached(const int i, const int j, const int k ) +{ + for( int s=0; sfhe_data ); + if( H==NULL ) + { + if( D_(i,j,k)>D_(pt.i,pt.j,pt.k) ) + mexErrMsgTxt("Problem with heap.\n"); + } + else + { + if( D_(i,j,k)+H_(i,j,k)>D_(pt.i,pt.j,pt.k)+H_(pt.i,pt.j,pt.k) ) + mexErrMsgTxt("Problem with heap.\n"); + } + } + } +} + +// select to test or not to test (debug purpose) +// #define CHECK_HEAP check_heap(i,j,k); +#define CHECK_HEAP + +void mexFunction( int nlhs, mxArray *plhs[], + int nrhs, const mxArray*prhs[] ) +{ + /* retrive arguments */ + if( nrhs<4 ) + mexErrMsgTxt("4 - 7 input arguments are required."); + if( nlhs<1 ) + mexErrMsgTxt("1, 2 or 3 output arguments are required."); + + // first argument : weight list + if( mxGetNumberOfDimensions(prhs[0])!= 3 ) + mexErrMsgTxt("W must be a 3D array."); + n = mxGetDimensions(prhs[0])[0]; + p = mxGetDimensions(prhs[0])[1]; + q = mxGetDimensions(prhs[0])[2]; + W = mxGetPr(prhs[0]); + // second argument : start_points + start_points = mxGetPr(prhs[1]); + int tmp = mxGetM(prhs[1]); + nb_start_points = mxGetN(prhs[1]); + if( nb_start_points==0 || tmp!=3 ) + mexErrMsgTxt("start_points must be of size 3 x nb_start_poins."); + // third argument : end_points + end_points = mxGetPr(prhs[2]); + tmp = mxGetM(prhs[2]); + nb_end_points = mxGetN(prhs[2]); + if( nb_end_points!=0 && tmp!=3 ) + mexErrMsgTxt("end_points must be of size 3 x nb_end_poins."); + // argument 4 : nb_iter_max + nb_iter_max = (int) *mxGetPr(prhs[3]); + // argument 5 : heuristic + if( nrhs>=5 ) + { + H = mxGetPr(prhs[4]); + if( mxGetNumberOfDimensions(prhs[4])!= 3 ) + mexErrMsgTxt("H must be a 3D array."); + if( mxGetDimensions(prhs[4])[0]!=n || mxGetDimensions(prhs[4])[1]!=p || mxGetDimensions(prhs[4])[2]!=q ) + mexErrMsgTxt("H must be of size n x p x q."); + } + else + H = NULL; + // argument 6 : constraint map + if( nrhs>=5 ) + { + L = mxGetPr(prhs[5]); + if( mxGetNumberOfDimensions(prhs[5])!= 3 ) + mexErrMsgTxt("L must be a 3D array."); + if( mxGetDimensions(prhs[5])[0]!=n || mxGetDimensions(prhs[5])[1]!=p || mxGetDimensions(prhs[5])[2]!=q ) + mexErrMsgTxt("L must be of size n x p x q."); + } + else + L = NULL; + // argument 7: value list + if( nrhs>=6 ) + { + values = mxGetPr(prhs[6]); + if( mxGetM(prhs[6])==0 && mxGetN(prhs[6])==0 ) + values=NULL; + if( values!=NULL && (mxGetM(prhs[6])!=nb_start_points || mxGetN(prhs[6])!=1) ) + mexErrMsgTxt("values must be of size nb_start_points x 1."); + } + else + values = NULL; + + // first ouput : distance + int dims[3] = {n,p,q}; + plhs[0] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL ); + D = mxGetPr(plhs[0]); + // second output : state + if( nlhs>=2 ) + { + plhs[1] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL ); + S = mxGetPr(plhs[1]); + } + else + { + S = new double[n*p*q]; + } + // third output : index + if( nlhs>=3 ) + { + plhs[2] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL ); + Q = mxGetPr(plhs[2]); + } + else + { + Q = new double[n*p,q]; + } + + // create the Fibonacci heap + struct fibheap* open_heap = fh_makeheap(); + fh_setcmp(open_heap, compare_points); + + double h = 1.0/n; + + // initialize points + for( int i=0; i=0 && jj>=0 && ii=0 && kk0 ) + a1 = GW_MIN( a1, D_(ii-1,jj,kk) ); + double a2 = GW_INFINITE; + if( jj0 ) + a2 = GW_MIN( a2, D_(ii,jj-1,kk) ); + double a3 = GW_INFINITE; + if( kk0 ) + a3 = GW_MIN( a3, D_(ii,jj,kk-1) ); + // order so that a1b) { SWAP(a,b); } + SWAPIF(a2,a3) + SWAPIF(a1,a2) + SWAPIF(a2,a3) + // update its distance + // now the equation is (a-a1)^2+(a-a2)^2+(a-a3)^2 - P^2 = 0, with a >= a3 >= a2 >= a1. + // => 3*a^2 - 2*(a2+a1+a3)*a - P^2 + a1^2 + a3^2 + a2^2 + // => delta = (a2+a1+a3)^2 - 3*(a1^2 + a3^2 + a2^2 - P^2) + double delta = (a2+a1+a3)*(a2+a1+a3) - 3*(a1*a1 + a2*a2 + a3*a3 - P*P); + double A1 = 0; + if( delta>=0 ) + A1 = ( a2+a1+a3 + sqrt(delta) )/3.0; + if( A1<=a3 ) + { + // at least a3 is too large, so we have + // a >= a2 >= a1 and a 2*a^2 - 2*(a1+a2)*a + a1^2+a2^2-P^2 + // delta = (a2+a1)^2 - 2*(a1^2 + a2^2 - P^2) + delta = (a2+a1)*(a2+a1) - 2*(a1*a1 + a2*a2 - P*P); + A1 = 0; + if( delta>=0 ) + A1 = 0.5 * ( a2+a1 +sqrt(delta) ); + if( A1<=a2 ) + A1 = a1 + P; + } + // update the value + if( ((int) S_(ii,jj,kk)) == kDead ) + { + // check if action has change. Should not appen for FM + // if( A1fhe_data ); // use same data for update + else + mexErrMsgTxt("Error in heap pool allocation."); + } + } + else if( ((int) S_(ii,jj,kk)) == kFar ) + { + if( D_(ii,jj,kk)!=GW_INFINITE ) + mexWarnMsgTxt("Distance must be initialized to Inf"); + S_(ii,jj,kk) = kOpen; + // distance must have change. + D_(ii,jj,kk) = A1; + // add to open list + point* pt = new point(ii,jj,kk); + existing_points.push_back( pt ); + heap_pool_(ii,jj,kk) = fh_insert( open_heap, pt ); // add to heap + } + else + mexErrMsgTxt("Unkwnown state."); + } // end swich + } // end for + } // end while + + // free heap + fh_deleteheap(open_heap); + // free point pool + for( point_list::iterator it = existing_points.begin(); it!=existing_points.end(); ++it ) + GW_DELETE( *it ); + // free fibheap pool + GW_DELETEARRAY(heap_pool); + + if( nlhs<2 ) + GW_DELETEARRAY(S); + if( nlhs<3 ) + GW_DELETEARRAY(Q); + + return; +} \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/backup/perform_front_propagation_3d_old.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/backup/perform_front_propagation_3d_old.cpp new file mode 100644 index 0000000..bb3f3fb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/backup/perform_front_propagation_3d_old.cpp @@ -0,0 +1,301 @@ +/*================================================================= +% perform_front_propagation_3d - perform a Fast Marching front propagation. +% +% [D,S] = perform_front_propagation_2d(W,start_points,end_points,nb_iter_max,H); +% +% 'D' is a 2D array containing the value of the distance function to seed. +% 'S' is a 2D array containing the state of each point : +% -1 : dead, distance have been computed. +% 0 : open, distance is being computed but not set. +% 1 : far, distance not already computed. +% 'W' is the weight matrix (inverse of the speed). +% 'start_points' is a 3 x num_start_points matrix where k is the number of starting points. +% 'H' is an heuristic (distance that remains to goal). This is a 2D matrix. +% +% Copyright (c) 2004 Gabriel Peyré +*=================================================================*/ + +#define kDead -1 +#define kOpen 0 +#define kFar 1 + +#include +#include "mex.h" +#include "config.h" +#include +#include +#include +#include + +#define D_(i,j,k) D[(i)+n*(j)+n*p*(k)] +#define S_(i,j,k) S[(i)+n*(j)+n*p*(k)] +#define W_(i,j,k) W[(i)+n*(j)+n*p*(k)] +#define H_(i,j,k) H[(i)+n*(j)+n*p*(k)] +#define start_points_(i,s) start_points[(i)+3*(s)] +#define end_points_(i,s) end_points[(i)+3*(s)] + +/* Global variables */ +int n; // size on X +int p; // size on Y +int q; // size on Z +double* D = NULL; +double* S = NULL; +double* W = NULL; +double* start_points = NULL; +double* end_points = NULL; +double* H = NULL; +int nb_iter_max = 100000; +int nb_start_points = 0; +int nb_end_points = 0; + +struct point +{ + point( int ii, int jj, int kk ) + { i = ii; j = jj; k = kk; } + int i; + int j; + int k; +}; +typedef std::vector point_list; + +inline bool end_points_reached(const int i, const int j, const int k ) +{ + for( int s=0; s D_(b.i,b.j,b.k); + else + return (D_(a.i,a.j,a.k)+H_(a.i,a.j,a.k)) > (D_(b.i,b.j,b.k)+H_(b.i,b.j,b.k)); +} + +// test the heap validity +void check_heap( int i, int j, int k, point_list& open_list ) +{ + // test the heap + for( int s=0; s<(int)open_list.size(); ++s ) + { + point pt = open_list[s]; + if( H==NULL ) + { + if( D_(i,j,k)>D_(pt.i,pt.j,pt.k) ) + printf("Problem with heap.\n"); + } + else + { + if( D_(i,j,k)+H_(i,j,k)>D_(pt.i,pt.j,pt.k)+H_(pt.i,pt.j,pt.k) ) + printf("Problem with heap.\n"); + } + } +} + +// select to test or not to test (debug purpose) +// #define CHECK_HEAP check_heap(i,j,k,open_list); +#define CHECK_HEAP + +void mexFunction( int nlhs, mxArray *plhs[], + int nrhs, const mxArray*prhs[] ) +{ + /* retrive arguments */ + if( nrhs<4 ) + mexErrMsgTxt("4 or 5 input arguments are required."); + if( nlhs<1 ) + mexErrMsgTxt("1 or 2 output arguments are required."); + + // first argument : weight list + if( mxGetNumberOfDimensions(prhs[0])!= 3 ) + mexErrMsgTxt("W must be a 3D array."); + n = mxGetDimensions(prhs[0])[0]; + p = mxGetDimensions(prhs[0])[1]; + q = mxGetDimensions(prhs[0])[2]; + W = mxGetPr(prhs[0]); + // second argument : start_points + start_points = mxGetPr(prhs[1]); + int tmp = mxGetM(prhs[1]); + nb_start_points = mxGetN(prhs[1]); + if( nb_start_points==0 || tmp!=3 ) + mexErrMsgTxt("start_points must be of size 3 x nb_start_poins."); + // third argument : end_points + end_points = mxGetPr(prhs[2]); + tmp = mxGetM(prhs[2]); + nb_end_points = mxGetN(prhs[2]); + if( nb_end_points!=0 && tmp!=3 ) + mexErrMsgTxt("end_points must be of size 3 x nb_end_poins."); + // third argument : nb_iter_max + nb_iter_max = (int) *mxGetPr(prhs[3]); + // second argument : heuristic + if( nrhs==5 ) + { + H = mxGetPr(prhs[4]); + if( mxGetNumberOfDimensions(prhs[4])!= 3 ) + mexErrMsgTxt("H must be a 3D array."); + if( mxGetDimensions(prhs[4])[0]!=n || mxGetDimensions(prhs[4])[1]!=p || mxGetDimensions(prhs[4])[2]!=q ) + mexErrMsgTxt("H must be of size n x p x q."); + } + else + H = NULL; + // first ouput : distance + int dims[3] = {n,p,q}; + plhs[0] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL ); + D = mxGetPr(plhs[0]); + // second output : state + if( nlhs>=2 ) + { + plhs[1] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL ); + S = mxGetPr(plhs[1]); + } + else + { + S = new double[n*p*q]; + } + + double h = 1.0/n; + + // initialize points + for( int i=0; i=0 && jj>=0 && ii=0 && kk0 ) + a1 = GW_MIN( a1, D_(ii-1,jj,kk) ); + double a2 = GW_INFINITE; + if( jj0 ) + a2 = GW_MIN( a2, D_(ii,jj-1,kk) ); + double a3 = GW_INFINITE; + if( kk0 ) + a3 = GW_MIN( a3, D_(ii,jj,kk-1) ); + // order so that a1b) { SWAP(a,b); } + SWAPIF(a2,a3) + SWAPIF(a1,a2) + SWAPIF(a2,a3) + // update its distance + // now the equation is (a-a1)^2+(a-a2)^2+(a-a3)^2 - P^2 = 0, with a >= a3 >= a2 >= a1. + // => 3*a^2 - 2*(a2+a1+a3)*a - P^2 + a1^2 + a3^2 + a2^2 + // => delta = (a2+a1+a3)^2 - 3*(a1^2 + a3^2 + a2^2 - P^2) + double delta = (a2+a1+a3)*(a2+a1+a3) - 3*(a1*a1 + a2*a2 + a3*a3 - P*P); + double A1 = 0; + if( delta>=0 ) + A1 = ( a2+a1+a3 + sqrt(delta) )/3.0; + if( A1<=a3 ) + { + // at least a3 is too large, so we have + // a >= a2 >= a1 and a 2*a^2 - 2*(a1+a2)*a + a1^2+a2^2-P^2 + // delta = (a2+a1)^2 - 2*(a1^2 + a2^2 - P^2) + delta = (a2+a1)*(a2+a1) - 2*(a1*a1 + a2*a2 - P*P); + A1 = 0; + if( delta>=0 ) + A1 = 0.5 * ( a2+a1 +sqrt(delta) ); + if( A1<=a2 ) + A1 = a1 + P; + } + // update the value + if( ((int) S_(ii,jj,kk)) == kDead ) + { + // check if action has change. Should not appen for FM + // if( A1 (malloc(size*ndims*sizeof(double))); + for(int i=0; i march(dist_data, + w,h,d, + mask_data, + tensor_data, + NULL, // tensor_power_data, + alpha); + // set up starting points + for( int i=0; i (b) ? (a) : (b)) //!< Returns the max value between a and b +#define MAXMAX(a,b,c) ((a) > (b) ? MAX (a,c) : MAX (b,c)) +#define GW_MIN(a, b) MIN(a,b) //!< Returns the min value between a and b +#undef GW_MAX // already defined by Windows.h ... +#define GW_MAX(a, b) MAX(a,b) //!< Returns the max value between a and b +#define GW_MAXMAX(a,b,c) MAXMAX(a,b,c) + +#define GW_SCALE_01(x,rMin,rMax) ((x-rMin)/(rMax-rMin)) + +#define GW_ABS(a) ((a) > 0 ? (a) : -(a)) //!< Returns the absolute value a +#define GW_SIGN(a) ((a) > 0 ? 1 : -1) //!< Returns the sign of a +#define SQR(x) ((x)*(x)) //!< Returns x square +#define CUBE(x) ((x)*(x)*(x)) //!< Returns x cube +#define GW_SQR(x) SQR(x) //!< Returns x square +#define GW_CUBE(x) CUBE(x) //!< Returns x cube + +#define GW_CLAMP_01(x) if( (x)<0 ) x=0; if( (x)>1 ) x=1 +#define GW_CLAMP(x, a,b) if( (x)b ) x=b + +#define GW_SWAP(x,y) x^=y; y^=x; x^=y +#define GW_ORDER(x,y) if(x>y){ GW_SWAP(x,y); } +//@} + +//------------------------------------------------------------------------- +/** \name generic macros */ +//------------------------------------------------------------------------- +//@{ +/** a random number in [0-1] */ +#define GW_RAND ((double) (rand()%10000))/10000 +/** a random number in [a,b] */ +#define GW_RAND_RANGE(a,b) (a)+((b)-(a))*((GW_Float) (rand()%10000))/10000 +/** delete a single pointer */ +#define GW_DELETE(p) {if (p!=NULL) delete p; p=NULL;} +/** delete an array pointer */ +#define GW_DELETEARRAY(p) {if (p!=NULL) delete [] p; p=NULL;} +//@} + +//------------------------------------------------------------------------- +/** \name some constants */ +//------------------------------------------------------------------------- +//@{ +#define GW_True true +#define GW_False false +/** to make aproximate computations (derivation, GW_Float comparaisons ...) */ +#define GW_EPSILON 1e-9 +/** very big number */ +#define GW_INFINITE 1e9 +//@} + +//------------------------------------------------------------------------- +/** \name numerical constants */ +//------------------------------------------------------------------------- +//@{ +/** pi */ +#define GW_PI 3.1415926535897932384626433832795028841971693993751f +/** pi/2 */ +#define GW_HALFPI 1.57079632679489661923f +/** 2*pi */ +#define GW_TWOPI 6.28318530717958647692f +/** 1/pi */ +#define GW_INVPI 0.31830988618379067154f +/** 180/pi */ +#define GW_RADTODEG(x) (x)*57.2957795130823208768f +/** pi/180 */ +#define GW_DEGTORAD(x) (x)*0.01745329251994329577f +/** e */ +#define GW_EXP 2.71828182845904523536f +/** 1/log10(2) */ +#define GW_ILOG2 3.32192809488736234787f +/** 1/3 */ +#define GW_INV3 0.33333333333333333333f +/** 1/6 */ +#define GW_INV6 0.16666666666666666666f +/** 1/9 */ +#define GW_INV7 0.14285714285714285714f +/** 1/9 */ +#define GW_INV9 0.11111111111111111111f +/** 1/255 */ +#define GW_INV255 0.00392156862745098039f +/** sqrt(2) */ +#define GW_SQRT2 1.41421356237f +//@} + +//------------------------------------------------------------------------- +/** \name assertion macros */ +//------------------------------------------------------------------------- +//@{ +#ifdef GW_DEBUG + #define GW_ASSERT(expr) _ASSERT(expr) + #define GW_DEBUG_ONLY(expr) expr +#else + #define GW_ASSERT(expr) // if(!(expr)) cerr << "Error in file " << __FILE__ << " line " << __LINE__ << "." << endl + #define GW_DEBUG_ONLY(expr) +#endif // GW_DEBUG +//@} + +INLINE +int log2(int n) +{ + int x = 0; + while (n > 1) + { + x++; + n /= 2; + } + return x; +} + +INLINE +int cmp(double a, double b) +{ + if (a < b) + return -1; + if (a == b) + return 0; + return 1; +} + +#endif // _MY_CONFIG_H_ diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/eucdist2.c b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/eucdist2.c new file mode 100644 index 0000000..bfb5af9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/eucdist2.c @@ -0,0 +1,336 @@ +/* + * Copyright 1993-2003 The MathWorks, Inc. + * $Revision: 1.5.4.3 $ $Date: 2004/02/01 21:44:32 $ + */ + +/* + * EUCDIST2 MEX-file + * + * Distance transform, Euclidean version + * + * D = EUCDIST2(BW) computes the Euclidean distance transform on the input + * binary image BW. Specifically, it computes the distance to the nearest + * nonzero-valued pixel. BW must be 2-D. + * + * [D,L] = EUCDIST2(BW) returns a linear index array L representing a + * nearest-neighbor map. L(r,c) is the linear index of the nonzero-valued + * element of BW closest to (r,c). + * + * Input-output specs + * ------------------ + * BW: 2-D logical matrix + * empty allowed + * + * D: 2-D real double matrix, same size as BW + * contains nonnegative values + * + * Algorithm notes + * --------------- + * Heinz Breu, Joseph Gil, David Kirkpatrick, and Michael Werman, + * "Linear Time Euclidean Distance Transform Algorithms," IEEE + * Transactions on Pattern Analysis and Machine Intelligence, + * vol 17 no 5 May 1995, pp. 529-533. Here we use the second + * algorithm, "Transform Based on Partial Voronoi Diagram Construction," + * pp. 531-533. + */ + +#include +#include "mex.h" + +typedef struct pixel_T +{ + int x; + int y; +} +pixel_T; + +#define FAKE_COL_VAL -1 + +/* + * From "Function Remove(u,v,w,r)", middle of second column, page 532. + * Reversed the terms x and y compared to the equations in the paper. + * + * This function returns true if the Voronoi cell centered on + * v does not intersect the line x=c. + */ +bool remove_candidate(pixel_T u, pixel_T v, pixel_T w, int c) +{ + /* + * Perform calculations in double, since this operation is + * sensitive to overflow when done in int32. See g198383. + * -sle, 2004/01/13 + */ + double term1; + double term2; + double ux = (double) u.x; + double uy = (double) u.y; + double vx = (double) v.x; + double vy = (double) v.y; + double wx = (double) w.x; + double wy = (double) w.y; + + term1 = (wy - vy) * (vy*vy - uy*uy - 2*c*(vx - ux) + + vx*vx - ux*ux); + + term2 = (vy - uy) * (wy*wy - vy*vy - 2*c*(wx - vx) + + wx*wx - vx*vx); + + return term1 >= term2; +} + +/* + * Update the candidates array for column c. Return the number + * of candidates. Also update the col_values array, which is + * an array of maximal (or minimal) column values for pixels in + * each row, up to and including the current column c. bw is a pointer + * to the binary image array; M is the number of rows of that array. + */ +void update_candidates(pixel_T *candidates, int *num_candidates, + int *col_values, int c, mxLogical *bw, int M) +{ + mxLogical *pr; + int r; + + /* + * Update the max_col_values array. + */ + pr = bw + M*c; + for (r = 0; r < M; r++) + { + if (pr[r] != 0) + { + col_values[r] = c; + } + } + + /* + * Update the candidates array. + */ + *num_candidates = 0; + for (r = 0; r < M; r++) + { + if (col_values[r] != FAKE_COL_VAL) + { + candidates[*num_candidates].x = col_values[r]; + candidates[*num_candidates].y = r; + (*num_candidates)++; + } + } +} + +/* + * This is the algorithm "Create L from Candidates," bottom of column 2, + * page 532 to top of column 1, page 533. The following changes have + * been made to the printed version of the algorithm: + * - Script "L" replaced by "ell" + * - "r" replaced by "c" + * - "l" replaced by "p" (because SLE never names variables "l"!) + * - "c" replaced by "num_candidates" + * - fixed typo in paper: "RemoveL([k-1],w,r)" should have been + * "Remove(L[k-1],L[k],w,r)." + * + * Outputs are Voronoi cell array ell and num_cells. Inputs are + * candidates, num_candidates, and c, which is the column currently + * being processed. + */ +void compute_ell(pixel_T *ell, int *num_cells, pixel_T *candidates, + int num_candidates, int c) +{ + int k; + int p; + pixel_T w; + + if (num_candidates == 0) + { + *num_cells = 0; + } + else if (num_candidates == 1) + { + *num_cells = 1; + ell[0] = candidates[0]; + } + else + { + ell[0] = candidates[0]; + ell[1] = candidates[1]; + k = 1; + p = 2; + while (p < num_candidates) + { + w = candidates[p]; + while ((k >= 1) && remove_candidate(ell[k-1], ell[k], w, c)) + { + k--; + } + k++; + p++; + ell[k] = w; + } + *num_cells = k+1; + } +} + +/* + * Scan column c. For each location in column c, compute the squared + * distance to the nearest Voronoi cell center. If that squared distance + * is smaller than what's already in the array Out at that location, + * then replace it. + */ +void assign_distances(double *Out, int M, int c, pixel_T *ell, int num_cells, + double *nn) +{ + int r; + int current_cell = 0; + double *pr; + double *pr_nn; + double sq_dist; + double temp_sq_dist; + double dx; + double dy; + int k; + bool do_labels = nn != NULL; + + if (num_cells > 0) + { + pr = Out + M*c; + if (do_labels) + { + pr_nn = nn + M*c; + } + for (r = 0; r < M; r++) + { + /* + * Compute squared distance to current cell. + */ + dx = c - ell[current_cell].x; + dy = r - ell[current_cell].y; + sq_dist = dx*dx + dy*dy; + + /* + * See if we need to update the current cell. + */ + for (k = current_cell+1; k < num_cells; k++) + { + dx = c - ell[k].x; + dy = r - ell[k].y; + temp_sq_dist = dx*dx + dy*dy; + if (temp_sq_dist < sq_dist) + { + current_cell = k; + sq_dist = temp_sq_dist; + } + else + { + break; + } + } + + if (sq_dist < pr[r]) + { + pr[r] = sq_dist; + if (do_labels) + { + pr_nn[r] = M * ell[current_cell].x + + ell[current_cell].y + 1.0; + } + } + } + } +} + + +void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) +{ + mxLogical *bw; + mxArray *Out; + mxArray *NN_map; + int M; + int N; + int *col_values; + pixel_T *candidates; + pixel_T *ell; + int num_candidates; + int num_cells; + double *pr; + double *nn = NULL; + int k; + int c; + double inf = mxGetInf(); + + if (nrhs != 1) + { + mexErrMsgIdAndTxt("Images:eucdist2:wrongNumInputs", + "EUCDIST2 requires one input argument."); + } + bw = mxGetLogicals(prhs[0]); + M = mxGetM(prhs[0]); + N = mxGetN(prhs[0]); + + Out = mxCreateDoubleMatrix(M, N, mxREAL); + plhs[0] = Out; + pr = (double *) mxGetData(Out); + for (k = 0; k < M*N; k++) + { + pr[k] = inf; + } + + if (nlhs > 1) + { + /* + * Return the nearest neighbor map. + */ + NN_map = mxCreateDoubleMatrix(M, N, mxREAL); + plhs[1] = NN_map; + nn = (double *) mxGetData(NN_map); + } + + candidates = (pixel_T *) mxMalloc(M * sizeof(*candidates)); + ell = (pixel_T *) mxMalloc(M * sizeof(*ell)); + col_values = (int *) mxMalloc(M * sizeof(*col_values)); + + /* + * Initialize the col_values array + */ + for (k = 0; k < M; k++) + { + col_values[k] = FAKE_COL_VAL; + } + + /* + * First pass + */ + for (c = 0; c < N; c++) + { + update_candidates(candidates, &num_candidates, + col_values, c, bw, M); + compute_ell(ell, &num_cells, candidates, num_candidates, c); + assign_distances(mxGetPr(Out), M, c, ell, num_cells, nn); + } + + /* + * Reinitialize the col_values array + */ + for (k = 0; k < M; k++) + { + col_values[k] = FAKE_COL_VAL; + } + + /* + * Second pass + */ + for (c = N-1; c >= 0; c--) + { + update_candidates(candidates, &num_candidates, + col_values, c, bw, M); + compute_ell(ell, &num_cells, candidates, num_candidates, c); + assign_distances(pr, M, c, ell, num_cells, nn); + } + + /* + * Return distance instead of squared distance. + */ + for (k = 0; k < M*N; k++) + { + pr[k] = sqrt(pr[k]); + } +} diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/all-wcprops b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/all-wcprops new file mode 100644 index 0000000..21f91a3 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/all-wcprops @@ -0,0 +1,47 @@ +K 25 +svn:wc:ra_dav:version-url +V 75 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/fheap +END +fib.cpp +K 25 +svn:wc:ra_dav:version-url +V 83 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/fheap/fib.cpp +END +fibtest.c +K 25 +svn:wc:ra_dav:version-url +V 85 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/fheap/fibtest.c +END +fibtest2.c +K 25 +svn:wc:ra_dav:version-url +V 86 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/fheap/fibtest2.c +END +fib.h +K 25 +svn:wc:ra_dav:version-url +V 81 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/fheap/fib.h +END +fibpriv.h +K 25 +svn:wc:ra_dav:version-url +V 85 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/fheap/fibpriv.h +END +tt.c +K 25 +svn:wc:ra_dav:version-url +V 80 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/fheap/tt.c +END +use.c +K 25 +svn:wc:ra_dav:version-url +V 81 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/fheap/use.c +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/entries b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/entries new file mode 100644 index 0000000..9adb9ac --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/entries @@ -0,0 +1,119 @@ +8 + +dir +12 +https://matlabcompanion.svn.sourceforge.net/svnroot/matlabcompanion/toolbox/toolbox_fast_marching/mex/fheap +https://matlabcompanion.svn.sourceforge.net/svnroot/matlabcompanion + + + +2008-08-16T12:32:42.608947Z +1 +nikopol0 + + +svn:special svn:externals svn:needs-lock + + + + + + + + + + + +0211462f-4f08-4595-aba7-0193070202b6 + +fib.cpp +file + + + + +2008-08-16T13:43:18.000000Z +a8aa4b9f4c98656497b697c003139e5c +2008-08-16T12:32:42.608947Z +1 +nikopol0 +has-props + +fibtest.c +file + + + + +2008-08-16T13:43:18.000000Z +6529396d7c061616708402ecaa43402d +2008-08-16T12:32:42.608947Z +1 +nikopol0 +has-props + +fibtest2.c +file + + + + +2008-08-16T13:43:18.000000Z +78261d636ccdf0d9c94d37ed39235809 +2008-08-16T12:32:42.608947Z +1 +nikopol0 +has-props + +fib.h +file + + + + +2008-08-16T13:43:18.000000Z +bed7b903b74038b1ca3a81ccdcb5f25b +2008-08-16T12:32:42.608947Z +1 +nikopol0 +has-props + +fibpriv.h +file + + + + +2008-08-16T13:43:18.000000Z +ceab270e0177326956b0ed59fff3f401 +2008-08-16T12:32:42.608947Z +1 +nikopol0 +has-props + +tt.c +file + + + + +2008-08-16T13:43:18.000000Z +c3ac57f6c8b56aadff5a0ab6ed2fcaf6 +2008-08-16T12:32:42.608947Z +1 +nikopol0 +has-props + +use.c +file + + + + +2008-08-16T13:43:18.000000Z +9fdc95d13a050a2e236cf510e78cf636 +2008-08-16T12:32:42.608947Z +1 +nikopol0 +has-props + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/format b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/format new file mode 100644 index 0000000..45a4fb7 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/format @@ -0,0 +1 @@ +8 diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/fib.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/fib.cpp.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/fib.cpp.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/fib.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/fib.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/fib.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/fibpriv.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/fibpriv.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/fibpriv.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/fibtest.c.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/fibtest.c.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/fibtest.c.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/fibtest2.c.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/fibtest2.c.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/fibtest2.c.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/tt.c.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/tt.c.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/tt.c.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/use.c.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/use.c.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/prop-base/use.c.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/fib.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/fib.cpp.svn-base new file mode 100644 index 0000000..498a44f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/fib.cpp.svn-base @@ -0,0 +1,698 @@ +/*- + * Copyright 1997-2003 John-Mark Gurney. + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + * + * $Id: fib.c,v 1.31 2003/01/14 10:11:30 jmg Exp $ + * + */ + +#include "fib.h" +#include "fibpriv.h" + +#include +#include + +bool fh_isempty(const struct fibheap* fh) +{ + return fh->fh_n==0; +} + +#define swap(type, a, b) \ + do { \ + type c; \ + c = a; \ + a = b; \ + b = c; \ + } while (0) \ + +#define INT_BITS (sizeof(int) * 8) +static inline int eillog2(unsigned int a) +{ + int oa; + int i; + int b; + + oa = a; + b = INT_BITS / 2; + i = 0; + while (b) { + i = (i << 1); + if (a >= (1 << b)) { + a /= (1 << b); + i = i | 1; + } else + a &= (1 << b) - 1; + b /= 2; + } + if ((1 << i) == oa) + return i; + else + return i + 1; +} + +/* + * Private Heap Functions + */ +static void +fh_deleteel(struct fibheap *h, struct fibheap_el *x) +{ + void *data; + int key; + + data = x->fhe_data; + key = x->fhe_key; + + if (!h->fh_keys) + fh_replacedata(h, x, h->fh_neginf); + else + fh_replacekey(h, x, INT_MIN); + if (fh_extractminel(h) != x) { + /* + * XXX - This should never happen as fh_replace should set it + * to min. + */ + abort(); + } + + x->fhe_data = data; + x->fhe_key = key; +} + +static void fh_initheap(struct fibheap *n) +{ + n->fh_cmp_fnct = NULL; + n->fh_neginf = NULL; + n->fh_n = 0; + n->fh_Dl = -1; + n->fh_cons = NULL; + n->fh_min = NULL; + n->fh_root = NULL; + n->fh_keys = 0; +#ifdef FH_STATS + n->fh_maxn = 0; + n->fh_ninserts = 0; + n->fh_nextracts = 0; +#endif +} + +static void +fh_destroyheap(struct fibheap *h) +{ + h->fh_cmp_fnct = NULL; + h->fh_neginf = NULL; + if (h->fh_cons != NULL) + free(h->fh_cons); + h->fh_cons = NULL; + free(h); +} + +/* + * Public Heap Functions + */ +struct fibheap * +fh_makekeyheap() +{ + struct fibheap *n; + + if ((n = (fibheap*) malloc(sizeof *n)) == NULL) + return NULL; + + fh_initheap(n); + n->fh_keys = 1; + + return n; +} + +struct fibheap * +fh_makeheap() +{ + struct fibheap *n; + + if ((n = (fibheap*) malloc(sizeof *n)) == NULL) + return NULL; + + fh_initheap(n); + + return n; +} + +voidcmp +fh_setcmp(struct fibheap *h, voidcmp fnct) +{ + voidcmp oldfnct; + + oldfnct = h->fh_cmp_fnct; + h->fh_cmp_fnct = fnct; + + return oldfnct; +} + +void * +fh_setneginf(struct fibheap *h, void *data) +{ + void *old; + + old = h->fh_neginf; + h->fh_neginf = data; + + return old; +} + +struct fibheap * +fh_union(struct fibheap *ha, struct fibheap *hb) +{ + struct fibheap_el *x; + + if (ha->fh_root == NULL || hb->fh_root == NULL) { + /* either one or both are empty */ + if (ha->fh_root == NULL) { + fh_destroyheap(ha); + return hb; + } else { + fh_destroyheap(hb); + return ha; + } + } + ha->fh_root->fhe_left->fhe_right = hb->fh_root; + hb->fh_root->fhe_left->fhe_right = ha->fh_root; + x = ha->fh_root->fhe_left; + ha->fh_root->fhe_left = hb->fh_root->fhe_left; + hb->fh_root->fhe_left = x; + ha->fh_n += hb->fh_n; + /* + * we probably should also keep stats on number of unions + */ + + /* set fh_min if necessary */ + if (fh_compare(ha, hb->fh_min, ha->fh_min) < 0) + ha->fh_min = hb->fh_min; + + fh_destroyheap(hb); + return ha; +} + +void fh_deleteheap(struct fibheap *h) +{ + /* + * We could do this even faster by walking each binomial tree, but + * this is simpler to code. + */ + while (h->fh_min != NULL) + fhe_destroy(fh_extractminel(h)); + + fh_destroyheap(h); +} + +/* + * Public Key Heap Functions + */ +struct fibheap_el * +fh_insertkey(struct fibheap *h, int key, void *data) +{ + struct fibheap_el *x; + + if ((x = fhe_newelem()) == NULL) + return NULL; + + /* just insert on root list, and make sure it's not the new min */ + x->fhe_data = data; + x->fhe_key = key; + + fh_insertel(h, x); + + return x; +} + +int +fh_minkey(struct fibheap *h) +{ + if (h->fh_min == NULL) + return INT_MIN; + return h->fh_min->fhe_key; +} + +int +fh_replacekey(struct fibheap *h, struct fibheap_el *x, int key) +{ + int ret; + + ret = x->fhe_key; + (void)fh_replacekeydata(h, x, key, x->fhe_data); + + return ret; +} + +void * +fh_replacekeydata(struct fibheap *h, struct fibheap_el *x, int key, void *data) +{ + void *odata; + int okey; + struct fibheap_el *y; + int r; + + odata = x->fhe_data; + okey = x->fhe_key; + + /* + * we can increase a key by deleting and reinserting, that + * requires O(lgn) time. + */ + if ((r = fh_comparedata(h, key, data, x)) > 0) { + /* XXX - bad code! */ + abort(); + fh_deleteel(h, x); + + x->fhe_data = data; + x->fhe_key = key; + + fh_insertel(h, x); + + return odata; + } + + x->fhe_data = data; + x->fhe_key = key; + + /* because they are equal, we don't have to do anything */ + if (r == 0) + return odata; + + y = x->fhe_p; + + if (h->fh_keys && okey == key) + return odata; + + if (y != NULL && fh_compare(h, x, y) <= 0) { + fh_cut(h, x, y); + fh_cascading_cut(h, y); + } + + /* + * the = is so that the call from fh_delete will delete the proper + * element. + */ + if (fh_compare(h, x, h->fh_min) <= 0) + h->fh_min = x; + + return odata; +} + +/* + * Public void * Heap Functions + */ +/* + * this will return these values: + * NULL failed for some reason + * ptr token to use for manipulation of data + */ +struct fibheap_el * +fh_insert(struct fibheap *h, void *data) +{ + struct fibheap_el *x; + + if ((x = fhe_newelem()) == NULL) + return NULL; + + /* just insert on root list, and make sure it's not the new min */ + x->fhe_data = data; + + fh_insertel(h, x); + + return x; +} + +void * +fh_min(struct fibheap *h) +{ + if (h->fh_min == NULL) + return NULL; + return h->fh_min->fhe_data; +} + +void * +fh_extractmin(struct fibheap *h) +{ + struct fibheap_el *z; + void *ret; + + ret = NULL; + + if (h->fh_min != NULL) { + z = fh_extractminel(h); + ret = z->fhe_data; +#ifndef NO_FREE + fhe_destroy(z); +#endif + + } + + return ret; +} + +void * +fh_replacedata(struct fibheap *h, struct fibheap_el *x, void *data) +{ + return fh_replacekeydata(h, x, x->fhe_key, data); +} + +void * +fh_delete(struct fibheap *h, struct fibheap_el *x) +{ + void *k; + + k = x->fhe_data; + if (!h->fh_keys) + fh_replacedata(h, x, h->fh_neginf); + else + fh_replacekey(h, x, INT_MIN); + fh_extractmin(h); + + return k; +} + +/* + * Statistics Functions + */ +#ifdef FH_STATS +int +fh_maxn(struct fibheap *h) +{ + return h->fh_maxn; +} + +int +fh_ninserts(struct fibheap *h) +{ + return h->fh_ninserts; +} + +int +fh_nextracts(struct fibheap *h) +{ + return h->fh_nextracts; +} +#endif + +/* + * begin of private element fuctions + */ +static struct fibheap_el * +fh_extractminel(struct fibheap *h) +{ + struct fibheap_el *ret; + struct fibheap_el *x, *y, *orig; + + ret = h->fh_min; + + orig = NULL; + /* put all the children on the root list */ + /* for true consistancy, we should use fhe_remove */ + for(x = ret->fhe_child; x != orig && x != NULL;) { + if (orig == NULL) + orig = x; + y = x->fhe_right; + x->fhe_p = NULL; + fh_insertrootlist(h, x); + x = y; + } + /* remove minimum from root list */ + fh_removerootlist(h, ret); + h->fh_n--; + + /* if we aren't empty, consolidate the heap */ + if (h->fh_n == 0) + h->fh_min = NULL; + else { + h->fh_min = ret->fhe_right; + fh_consolidate(h); + } + +#ifdef FH_STATS + h->fh_nextracts++; +#endif + + return ret; +} + +static void +fh_insertrootlist(struct fibheap *h, struct fibheap_el *x) +{ + if (h->fh_root == NULL) { + h->fh_root = x; + x->fhe_left = x; + x->fhe_right = x; + return; + } + + fhe_insertafter(h->fh_root, x); +} + +static void +fh_removerootlist(struct fibheap *h, struct fibheap_el *x) +{ + if (x->fhe_left == x) + h->fh_root = NULL; + else + h->fh_root = fhe_remove(x); +} + +static void +fh_consolidate(struct fibheap *h) +{ + struct fibheap_el **a; + struct fibheap_el *w; + struct fibheap_el *y; + struct fibheap_el *x; + int i; + int d; + int D; + + fh_checkcons(h); + + /* assign a the value of h->fh_cons so I don't have to rewrite code */ + D = h->fh_Dl + 1; + a = h->fh_cons; + + for (i = 0; i < D; i++) + a[i] = NULL; + + while ((w = h->fh_root) != NULL) { + x = w; + fh_removerootlist(h, w); + d = x->fhe_degree; + /* XXX - assert that d < D */ + while(a[d] != NULL) { + y = a[d]; + if (fh_compare(h, x, y) > 0) + swap(struct fibheap_el *, x, y); + fh_heaplink(h, y, x); + a[d] = NULL; + d++; + } + a[d] = x; + } + h->fh_min = NULL; + for (i = 0; i < D; i++) + if (a[i] != NULL) { + fh_insertrootlist(h, a[i]); + if (h->fh_min == NULL || fh_compare(h, a[i], + h->fh_min) < 0) + h->fh_min = a[i]; + } +} + +static void +fh_heaplink(struct fibheap *h, struct fibheap_el *y, struct fibheap_el *x) +{ + /* make y a child of x */ + if (x->fhe_child == NULL) + x->fhe_child = y; + else + fhe_insertbefore(x->fhe_child, y); + y->fhe_p = x; + x->fhe_degree++; + y->fhe_mark = 0; +} + +static void +fh_cut(struct fibheap *h, struct fibheap_el *x, struct fibheap_el *y) +{ + fhe_remove(x); + y->fhe_degree--; + fh_insertrootlist(h, x); + x->fhe_p = NULL; + x->fhe_mark = 0; +} + +static void +fh_cascading_cut(struct fibheap *h, struct fibheap_el *y) +{ + struct fibheap_el *z; + + while ((z = y->fhe_p) != NULL) { + if (y->fhe_mark == 0) { + y->fhe_mark = 1; + return; + } else { + fh_cut(h, y, z); + y = z; + } + } +} + +/* + * begining of handling elements of fibheap + */ +static struct fibheap_el * +fhe_newelem() +{ + struct fibheap_el *e; + + if ((e = (fibheap_el*) malloc(sizeof *e)) == NULL) + return NULL; + + fhe_initelem(e); + + return e; +} + +static void +fhe_initelem(struct fibheap_el *e) +{ + e->fhe_degree = 0; + e->fhe_mark = 0; + e->fhe_p = NULL; + e->fhe_child = NULL; + e->fhe_left = e; + e->fhe_right = e; + e->fhe_data = NULL; +} + +static void +fhe_insertafter(struct fibheap_el *a, struct fibheap_el *b) +{ + if (a == a->fhe_right) { + a->fhe_right = b; + a->fhe_left = b; + b->fhe_right = a; + b->fhe_left = a; + } else { + b->fhe_right = a->fhe_right; + a->fhe_right->fhe_left = b; + a->fhe_right = b; + b->fhe_left = a; + } +} + +static inline void +fhe_insertbefore(struct fibheap_el *a, struct fibheap_el *b) +{ + fhe_insertafter(a->fhe_left, b); +} + +static struct fibheap_el * +fhe_remove(struct fibheap_el *x) +{ + struct fibheap_el *ret; + + if (x == x->fhe_left) + ret = NULL; + else + ret = x->fhe_left; + + /* fix the parent pointer */ + if (x->fhe_p != NULL && x->fhe_p->fhe_child == x) + x->fhe_p->fhe_child = ret; + + x->fhe_right->fhe_left = x->fhe_left; + x->fhe_left->fhe_right = x->fhe_right; + + /* clear out hanging pointers */ + x->fhe_p = NULL; + x->fhe_left = x; + x->fhe_right = x; + + return ret; +} + +static void +fh_checkcons(struct fibheap *h) +{ + int oDl; + + /* make sure we have enough memory allocated to "reorganize" */ + if (h->fh_Dl == -1 || h->fh_n > (1 << h->fh_Dl)) { + oDl = h->fh_Dl; + if ((h->fh_Dl = ceillog2(h->fh_n) + 1) < 8) + h->fh_Dl = 8; + if (oDl != h->fh_Dl) + h->fh_cons = (struct fibheap_el **)realloc(h->fh_cons, + sizeof *h->fh_cons * (h->fh_Dl + 1)); + if (h->fh_cons == NULL) + abort(); + } +} + +static int +fh_compare(struct fibheap *h, struct fibheap_el *a, struct fibheap_el *b) +{ + if (h->fh_keys) { + if (a->fhe_key < b->fhe_key) + return -1; + if (a->fhe_key == b->fhe_key) + return 0; + return 1; + } else + return h->fh_cmp_fnct(a->fhe_data, b->fhe_data); +} + +static int +fh_comparedata(struct fibheap *h, int key, void *data, struct fibheap_el *b) +{ + struct fibheap_el a; + + a.fhe_key = key; + a.fhe_data = data; + + return fh_compare(h, &a, b); +} + +static void +fh_insertel(struct fibheap *h, struct fibheap_el *x) +{ + fh_insertrootlist(h, x); + + if (h->fh_min == NULL || (h->fh_keys ? x->fhe_key < h->fh_min->fhe_key + : h->fh_cmp_fnct(x->fhe_data, h->fh_min->fhe_data) < 0)) + h->fh_min = x; + + h->fh_n++; + +#ifdef FH_STATS + if (h->fh_n > h->fh_maxn) + h->fh_maxn = h->fh_n; + h->fh_ninserts++; +#endif + +} diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/fib.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/fib.h.svn-base new file mode 100644 index 0000000..1238a45 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/fib.h.svn-base @@ -0,0 +1,65 @@ +/*- + * Copyright 1997, 1998-2003 John-Mark Gurney. + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + * + * $Id: fib.h,v 1.10 2003/01/14 10:11:30 jmg Exp $ + * + */ + +#ifndef _FIB_H_ +#define _FIB_H_ + +struct fibheap; +struct fibheap_el; +typedef int (*voidcmp)(void *, void *); + +/* functions for key heaps */ +struct fibheap *fh_makekeyheap(void); +struct fibheap_el *fh_insertkey(struct fibheap *, int, void *); +int fh_minkey(struct fibheap *); +int fh_replacekey(struct fibheap *, struct fibheap_el *, int); +void *fh_replacekeydata(struct fibheap *, struct fibheap_el *, int, void *); + +/* functions for void * heaps */ +struct fibheap *fh_makeheap(void); +voidcmp fh_setcmp(struct fibheap *, voidcmp); +void *fh_setneginf(struct fibheap *, void *); +struct fibheap_el *fh_insert(struct fibheap *, void *); + +/* shared functions */ +void *fh_extractmin(struct fibheap *); +void *fh_min(struct fibheap *); +void *fh_replacedata(struct fibheap *, struct fibheap_el *, void *); +void *fh_delete(struct fibheap *, struct fibheap_el *); +void fh_deleteheap(struct fibheap *); +struct fibheap *fh_union(struct fibheap *, struct fibheap *); +bool fh_isempty(const struct fibheap *); + +#ifdef FH_STATS +int fh_maxn(struct fibheap *); +int fh_ninserts(struct fibheap *); +int fh_nextracts(struct fibheap *); +#endif + +#endif /* _FIB_H_ */ diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/fibpriv.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/fibpriv.h.svn-base new file mode 100644 index 0000000..4a896ce --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/fibpriv.h.svn-base @@ -0,0 +1,107 @@ +/*- + * Copyright 1997, 1999-2003 John-Mark Gurney. + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + * + * $Id: fibpriv.h,v 1.12 2003/01/14 10:11:30 jmg Exp $ + * + */ + +#ifndef _FIBPRIV_H_ +#define _FIBPRIV_H_ + +struct fibheap_el; + +/* + * global heap operations + */ +struct fibheap { + int (*fh_cmp_fnct)(void *, void *); + int fh_n; + int fh_Dl; + struct fibheap_el **fh_cons; + struct fibheap_el *fh_min; + struct fibheap_el *fh_root; + void *fh_neginf; + int fh_keys : 1; +#ifdef FH_STATS + int fh_maxn; + int fh_ninserts; + int fh_nextracts; +#endif +}; + +static void fh_initheap(struct fibheap *); +static void fh_insertrootlist(struct fibheap *, struct fibheap_el *); +static void fh_removerootlist(struct fibheap *, struct fibheap_el *); +static void fh_consolidate(struct fibheap *); +static void fh_heaplink(struct fibheap *h, struct fibheap_el *y, + struct fibheap_el *x); +static void fh_cut(struct fibheap *, struct fibheap_el *, struct fibheap_el *); +static void fh_cascading_cut(struct fibheap *, struct fibheap_el *); +static struct fibheap_el *fh_extractminel(struct fibheap *); +static void fh_checkcons(struct fibheap *h); +static void fh_destroyheap(struct fibheap *h); +static int fh_compare(struct fibheap *h, struct fibheap_el *a, + struct fibheap_el *b); +static int fh_comparedata(struct fibheap *h, int key, void *data, + struct fibheap_el *b); +static void fh_insertel(struct fibheap *h, struct fibheap_el *x); +static void fh_deleteel(struct fibheap *h, struct fibheap_el *x); + +/* + * specific node operations + */ +struct fibheap_el { + int fhe_degree; + int fhe_mark; + struct fibheap_el *fhe_p; + struct fibheap_el *fhe_child; + struct fibheap_el *fhe_left; + struct fibheap_el *fhe_right; + int fhe_key; + void *fhe_data; +}; + +static struct fibheap_el *fhe_newelem(void); +static void fhe_initelem(struct fibheap_el *); +static void fhe_insertafter(struct fibheap_el *a, struct fibheap_el *b); +static void fhe_insertbefore(struct fibheap_el *a, struct fibheap_el *b); +static struct fibheap_el *fhe_remove(struct fibheap_el *a); +#define fhe_destroy(x) free((x)) + +/* + * general functions + */ +static int ceillog2(unsigned int n) +{ + int x = 0; + while (n > 1) + { + x++; + n /= 2; + } + return x; +} + +#endif /* _FIBPRIV_H_ */ diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/fibtest.c.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/fibtest.c.svn-base new file mode 100644 index 0000000..c7be1e9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/fibtest.c.svn-base @@ -0,0 +1,80 @@ +#include +#include +#include "fib.h" + +int main(void) +{ + struct fibheap *a; + void *arr[10]; + int i; + + a = fh_makekeyheap(); + + for (i=1 ; i < 10 ; i++) + { + arr[i]= fh_insertkey(a,0,(void *)i); + printf("adding: 0 %d \n",i); + } + + printf(" \n"); + fh_replacekey(a, arr[1],-1); + fh_replacekey(a, arr[6],-1); + fh_replacekey(a, arr[4],-1); + fh_replacekey(a, arr[2],-1); + fh_replacekey(a, arr[8],-1); + + printf("value(minkey) %d\n",fh_minkey(a)); + printf("id: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[7],-33); +/* -> node 7 becomes root node, but is still pointed to by node 6 */ + fh_replacekey(a, arr[4],-36); + fh_replacekey(a, arr[3],-1); + fh_replacekey(a, arr[9],-81); + + printf("value(minkey) %d\n",fh_minkey(a)); + printf("id: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[6],-68); + fh_replacekey(a, arr[2],-69); + + printf("value(minkey) %d\n",fh_minkey(a)); + printf("id: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[1],-52); + fh_replacekey(a, arr[3],-2); + fh_replacekey(a, arr[4],-120); + fh_replacekey(a, arr[5],-48); + + printf("value(minkey) %d\n",fh_minkey(a)); + printf("id: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[3],-3); + fh_replacekey(a, arr[5],-63); + + printf("value(minkey) %d\n",fh_minkey(a)); + printf("id: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[5],-110); + fh_replacekey(a, arr[7],-115); + + printf("value(minkey) %d\n",fh_minkey(a)); + printf("id: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[5],-188); + + printf("value(minkey) %d\n",fh_minkey(a)); + printf("id: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[3],-4); + + printf("value(minkey) %d\n",fh_minkey(a)); + printf("id: %d\n\n", (int)fh_extractmin(a)); + + printf("value(minkey) %d\n",fh_minkey(a)); + printf("id: %d\n\n", (int)fh_extractmin(a)); + + fh_deleteheap(a); + + return 0; +} diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/fibtest2.c.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/fibtest2.c.svn-base new file mode 100644 index 0000000..8a623b6 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/fibtest2.c.svn-base @@ -0,0 +1,69 @@ +#include +#include +#include "fib.h" + +int +main(void) { + struct fibheap *a; + void *arr[10]; + int i; + a = fh_makekeyheap(); + + for (i=1 ; i < 10 ; i++) + { + arr[i]= fh_insertkey(a,0,(void *)i); + printf("adding: 0 %d \n",i); + } + + printf(" \n"); + fh_replacekey(a, arr[1],-38); + fh_replacekey(a, arr[7],-34); + + printf("wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + fh_replacekey(a, arr[2],-55); + fh_replacekey(a, arr[5],-56); + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[4],-1); + fh_replacekey(a, arr[2],-102); + fh_replacekey(a, arr[6],-1); + fh_replacekey(a, arr[9],-1); + fh_replacekey(a, arr[8],-4); + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + fh_replacekey(a, arr[3],-74); + fh_replacekey(a, arr[8],-55); + fh_replacekey(a, arr[4],-2); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + fh_replacekey(a, arr[4],-3); + fh_replacekey(a, arr[6],-2); + fh_replacekey(a, arr[7],-99); + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + fh_replacekey(a, arr[6],-3); + fh_replacekey(a, arr[4],-4); + fh_replacekey(a, arr[8],-94); + fh_replacekey(a, arr[9],-2); + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + fh_replacekey(a, arr[6],-4); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + /*fh_replacekey(a, arr[9],-3);*/ + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + /*fh_replacekey(a, arr[9],-49);*/ + + fh_deleteheap(a); + + return 0; +} diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/tt.c.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/tt.c.svn-base new file mode 100644 index 0000000..26db1d2 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/tt.c.svn-base @@ -0,0 +1,64 @@ +#include +#include +#include "fib.h" + +int main(void) +{ + + struct fibheap *a; + void *arr[10]; + int i; + + a = fh_makekeyheap(); + + for (i=1 ; i < 8 ; i++) + { + arr[i]= fh_insertkey(a,0,(void *)i); + printf("adding: 0 %d \n",i); + } + + printf(" \n"); + + fh_replacekey(a, arr[1],-2); + fh_replacekey(a, arr[4],-3); + fh_replacekey(a, arr[7],-5); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[3],-2); + fh_replacekey(a, arr[6],-1); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[1],-9); + fh_replacekey(a, arr[5],-3); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[2],-4); + fh_replacekey(a, arr[5],-5); + fh_replacekey(a, arr[6],-3); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[2],-6); + fh_replacekey(a, arr[6],-6); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + fh_deleteheap(a); + + return 0; +} + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/use.c.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/use.c.svn-base new file mode 100644 index 0000000..e8db327 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/.svn/text-base/use.c.svn-base @@ -0,0 +1,126 @@ +#include +#include +#include + +#include "fib.h" + +#define TESTCASE 1 + +#define COUNT 100000 +#define DIF 1000 +#define MAXEXT 10 +#define VERBOSE 1 + +int cmp(void *, void *); + +int +cmp(void *x, void *y) +{ + int a, b; + a = (int)x; + b = (int)y; + + if (a < b) + return -1; + if (a == b) + return 0; + return 1; +} + +int +main(void) +{ +#if !TESTCASE + struct fibheap_el *w; +#else + int e, j, k; +#endif + struct fibheap *a; + int i, x; + + a = fh_makeheap(); + fh_setcmp(a, cmp); + + srandom(time(NULL)); +#if TESTCASE +#if VERBOSE + printf("inserting: "); +#endif + e = 0; + for (i = 0; i < COUNT; i++) { +#if VERBOSE + if (i) + printf(", "); +#endif + fh_insert(a, (void *)(x = random()/10)); +#if VERBOSE + printf("%d", x); +#endif + if (i - e > DIF) { + k = random() % MAXEXT; + for (j = 0; j < k; j++, e++) + printf("throwing: %d\n", (int)fh_extractmin(a)); + } + } + +#if VERBOSE + printf("\nremaining: %d\n", COUNT - e); + printf("extracting: "); +#endif + for (i = 0; i < COUNT - e; i++) { +#if VERBOSE + if (i) + printf(", "); + printf("%d", (int)fh_extractmin(a)); +#else + fh_extractmin(a); +#endif + } +#if VERBOSE + printf("\n"); +#endif + if ((int)fh_extractmin(a) == 0) + printf("heap empty!\n"); + else { + printf("heap not empty! ERROR!\n"); + exit(1); + } +#else + w = fh_insert(a, (void *)6); + printf("adding: %d\n", 6); + fh_insert(a, (void *)9); + printf("adding: %d\n", 9); + fh_insert(a, (void *)1); + printf("adding: %d\n", 1); + for(i = 0; i < 5; i++) { + x = random()/10000; + printf("adding: %d\n", x); + fh_insert(a, (void *)x); + } + fh_insert(a, (void *)4); + printf("adding: %d\n", 4); + fh_insert(a, (void *)8); + printf("adding: %d\n", 8); + printf("first: %d\n", (int)fh_extractmin(a)); + printf("deleting: %d\n", (int)fh_delete(a, w)); + printf("first: %d\n", (int)fh_extractmin(a)); + printf("first: %d\n", (int)fh_extractmin(a)); + printf("first: %d\n", (int)fh_extractmin(a)); + printf("first: %d\n", (int)fh_extractmin(a)); + printf("first: %d\n", (int)fh_extractmin(a)); + for(i = 0; i < 5; i++) { + x = random()/10000; + printf("adding: %d\n", x); + fh_insert(a, (void *)x); + } + printf("first: %d\n", (int)fh_extractmin(a)); + printf("first: %d\n", (int)fh_extractmin(a)); + printf("first: %d\n", (int)fh_extractmin(a)); + printf("first: %d\n", (int)fh_extractmin(a)); + printf("first: %d\n", (int)fh_extractmin(a)); +#endif + + fh_deleteheap(a); + + return 0; +} diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/fib.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/fib.cpp new file mode 100644 index 0000000..498a44f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/fib.cpp @@ -0,0 +1,698 @@ +/*- + * Copyright 1997-2003 John-Mark Gurney. + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + * + * $Id: fib.c,v 1.31 2003/01/14 10:11:30 jmg Exp $ + * + */ + +#include "fib.h" +#include "fibpriv.h" + +#include +#include + +bool fh_isempty(const struct fibheap* fh) +{ + return fh->fh_n==0; +} + +#define swap(type, a, b) \ + do { \ + type c; \ + c = a; \ + a = b; \ + b = c; \ + } while (0) \ + +#define INT_BITS (sizeof(int) * 8) +static inline int eillog2(unsigned int a) +{ + int oa; + int i; + int b; + + oa = a; + b = INT_BITS / 2; + i = 0; + while (b) { + i = (i << 1); + if (a >= (1 << b)) { + a /= (1 << b); + i = i | 1; + } else + a &= (1 << b) - 1; + b /= 2; + } + if ((1 << i) == oa) + return i; + else + return i + 1; +} + +/* + * Private Heap Functions + */ +static void +fh_deleteel(struct fibheap *h, struct fibheap_el *x) +{ + void *data; + int key; + + data = x->fhe_data; + key = x->fhe_key; + + if (!h->fh_keys) + fh_replacedata(h, x, h->fh_neginf); + else + fh_replacekey(h, x, INT_MIN); + if (fh_extractminel(h) != x) { + /* + * XXX - This should never happen as fh_replace should set it + * to min. + */ + abort(); + } + + x->fhe_data = data; + x->fhe_key = key; +} + +static void fh_initheap(struct fibheap *n) +{ + n->fh_cmp_fnct = NULL; + n->fh_neginf = NULL; + n->fh_n = 0; + n->fh_Dl = -1; + n->fh_cons = NULL; + n->fh_min = NULL; + n->fh_root = NULL; + n->fh_keys = 0; +#ifdef FH_STATS + n->fh_maxn = 0; + n->fh_ninserts = 0; + n->fh_nextracts = 0; +#endif +} + +static void +fh_destroyheap(struct fibheap *h) +{ + h->fh_cmp_fnct = NULL; + h->fh_neginf = NULL; + if (h->fh_cons != NULL) + free(h->fh_cons); + h->fh_cons = NULL; + free(h); +} + +/* + * Public Heap Functions + */ +struct fibheap * +fh_makekeyheap() +{ + struct fibheap *n; + + if ((n = (fibheap*) malloc(sizeof *n)) == NULL) + return NULL; + + fh_initheap(n); + n->fh_keys = 1; + + return n; +} + +struct fibheap * +fh_makeheap() +{ + struct fibheap *n; + + if ((n = (fibheap*) malloc(sizeof *n)) == NULL) + return NULL; + + fh_initheap(n); + + return n; +} + +voidcmp +fh_setcmp(struct fibheap *h, voidcmp fnct) +{ + voidcmp oldfnct; + + oldfnct = h->fh_cmp_fnct; + h->fh_cmp_fnct = fnct; + + return oldfnct; +} + +void * +fh_setneginf(struct fibheap *h, void *data) +{ + void *old; + + old = h->fh_neginf; + h->fh_neginf = data; + + return old; +} + +struct fibheap * +fh_union(struct fibheap *ha, struct fibheap *hb) +{ + struct fibheap_el *x; + + if (ha->fh_root == NULL || hb->fh_root == NULL) { + /* either one or both are empty */ + if (ha->fh_root == NULL) { + fh_destroyheap(ha); + return hb; + } else { + fh_destroyheap(hb); + return ha; + } + } + ha->fh_root->fhe_left->fhe_right = hb->fh_root; + hb->fh_root->fhe_left->fhe_right = ha->fh_root; + x = ha->fh_root->fhe_left; + ha->fh_root->fhe_left = hb->fh_root->fhe_left; + hb->fh_root->fhe_left = x; + ha->fh_n += hb->fh_n; + /* + * we probably should also keep stats on number of unions + */ + + /* set fh_min if necessary */ + if (fh_compare(ha, hb->fh_min, ha->fh_min) < 0) + ha->fh_min = hb->fh_min; + + fh_destroyheap(hb); + return ha; +} + +void fh_deleteheap(struct fibheap *h) +{ + /* + * We could do this even faster by walking each binomial tree, but + * this is simpler to code. + */ + while (h->fh_min != NULL) + fhe_destroy(fh_extractminel(h)); + + fh_destroyheap(h); +} + +/* + * Public Key Heap Functions + */ +struct fibheap_el * +fh_insertkey(struct fibheap *h, int key, void *data) +{ + struct fibheap_el *x; + + if ((x = fhe_newelem()) == NULL) + return NULL; + + /* just insert on root list, and make sure it's not the new min */ + x->fhe_data = data; + x->fhe_key = key; + + fh_insertel(h, x); + + return x; +} + +int +fh_minkey(struct fibheap *h) +{ + if (h->fh_min == NULL) + return INT_MIN; + return h->fh_min->fhe_key; +} + +int +fh_replacekey(struct fibheap *h, struct fibheap_el *x, int key) +{ + int ret; + + ret = x->fhe_key; + (void)fh_replacekeydata(h, x, key, x->fhe_data); + + return ret; +} + +void * +fh_replacekeydata(struct fibheap *h, struct fibheap_el *x, int key, void *data) +{ + void *odata; + int okey; + struct fibheap_el *y; + int r; + + odata = x->fhe_data; + okey = x->fhe_key; + + /* + * we can increase a key by deleting and reinserting, that + * requires O(lgn) time. + */ + if ((r = fh_comparedata(h, key, data, x)) > 0) { + /* XXX - bad code! */ + abort(); + fh_deleteel(h, x); + + x->fhe_data = data; + x->fhe_key = key; + + fh_insertel(h, x); + + return odata; + } + + x->fhe_data = data; + x->fhe_key = key; + + /* because they are equal, we don't have to do anything */ + if (r == 0) + return odata; + + y = x->fhe_p; + + if (h->fh_keys && okey == key) + return odata; + + if (y != NULL && fh_compare(h, x, y) <= 0) { + fh_cut(h, x, y); + fh_cascading_cut(h, y); + } + + /* + * the = is so that the call from fh_delete will delete the proper + * element. + */ + if (fh_compare(h, x, h->fh_min) <= 0) + h->fh_min = x; + + return odata; +} + +/* + * Public void * Heap Functions + */ +/* + * this will return these values: + * NULL failed for some reason + * ptr token to use for manipulation of data + */ +struct fibheap_el * +fh_insert(struct fibheap *h, void *data) +{ + struct fibheap_el *x; + + if ((x = fhe_newelem()) == NULL) + return NULL; + + /* just insert on root list, and make sure it's not the new min */ + x->fhe_data = data; + + fh_insertel(h, x); + + return x; +} + +void * +fh_min(struct fibheap *h) +{ + if (h->fh_min == NULL) + return NULL; + return h->fh_min->fhe_data; +} + +void * +fh_extractmin(struct fibheap *h) +{ + struct fibheap_el *z; + void *ret; + + ret = NULL; + + if (h->fh_min != NULL) { + z = fh_extractminel(h); + ret = z->fhe_data; +#ifndef NO_FREE + fhe_destroy(z); +#endif + + } + + return ret; +} + +void * +fh_replacedata(struct fibheap *h, struct fibheap_el *x, void *data) +{ + return fh_replacekeydata(h, x, x->fhe_key, data); +} + +void * +fh_delete(struct fibheap *h, struct fibheap_el *x) +{ + void *k; + + k = x->fhe_data; + if (!h->fh_keys) + fh_replacedata(h, x, h->fh_neginf); + else + fh_replacekey(h, x, INT_MIN); + fh_extractmin(h); + + return k; +} + +/* + * Statistics Functions + */ +#ifdef FH_STATS +int +fh_maxn(struct fibheap *h) +{ + return h->fh_maxn; +} + +int +fh_ninserts(struct fibheap *h) +{ + return h->fh_ninserts; +} + +int +fh_nextracts(struct fibheap *h) +{ + return h->fh_nextracts; +} +#endif + +/* + * begin of private element fuctions + */ +static struct fibheap_el * +fh_extractminel(struct fibheap *h) +{ + struct fibheap_el *ret; + struct fibheap_el *x, *y, *orig; + + ret = h->fh_min; + + orig = NULL; + /* put all the children on the root list */ + /* for true consistancy, we should use fhe_remove */ + for(x = ret->fhe_child; x != orig && x != NULL;) { + if (orig == NULL) + orig = x; + y = x->fhe_right; + x->fhe_p = NULL; + fh_insertrootlist(h, x); + x = y; + } + /* remove minimum from root list */ + fh_removerootlist(h, ret); + h->fh_n--; + + /* if we aren't empty, consolidate the heap */ + if (h->fh_n == 0) + h->fh_min = NULL; + else { + h->fh_min = ret->fhe_right; + fh_consolidate(h); + } + +#ifdef FH_STATS + h->fh_nextracts++; +#endif + + return ret; +} + +static void +fh_insertrootlist(struct fibheap *h, struct fibheap_el *x) +{ + if (h->fh_root == NULL) { + h->fh_root = x; + x->fhe_left = x; + x->fhe_right = x; + return; + } + + fhe_insertafter(h->fh_root, x); +} + +static void +fh_removerootlist(struct fibheap *h, struct fibheap_el *x) +{ + if (x->fhe_left == x) + h->fh_root = NULL; + else + h->fh_root = fhe_remove(x); +} + +static void +fh_consolidate(struct fibheap *h) +{ + struct fibheap_el **a; + struct fibheap_el *w; + struct fibheap_el *y; + struct fibheap_el *x; + int i; + int d; + int D; + + fh_checkcons(h); + + /* assign a the value of h->fh_cons so I don't have to rewrite code */ + D = h->fh_Dl + 1; + a = h->fh_cons; + + for (i = 0; i < D; i++) + a[i] = NULL; + + while ((w = h->fh_root) != NULL) { + x = w; + fh_removerootlist(h, w); + d = x->fhe_degree; + /* XXX - assert that d < D */ + while(a[d] != NULL) { + y = a[d]; + if (fh_compare(h, x, y) > 0) + swap(struct fibheap_el *, x, y); + fh_heaplink(h, y, x); + a[d] = NULL; + d++; + } + a[d] = x; + } + h->fh_min = NULL; + for (i = 0; i < D; i++) + if (a[i] != NULL) { + fh_insertrootlist(h, a[i]); + if (h->fh_min == NULL || fh_compare(h, a[i], + h->fh_min) < 0) + h->fh_min = a[i]; + } +} + +static void +fh_heaplink(struct fibheap *h, struct fibheap_el *y, struct fibheap_el *x) +{ + /* make y a child of x */ + if (x->fhe_child == NULL) + x->fhe_child = y; + else + fhe_insertbefore(x->fhe_child, y); + y->fhe_p = x; + x->fhe_degree++; + y->fhe_mark = 0; +} + +static void +fh_cut(struct fibheap *h, struct fibheap_el *x, struct fibheap_el *y) +{ + fhe_remove(x); + y->fhe_degree--; + fh_insertrootlist(h, x); + x->fhe_p = NULL; + x->fhe_mark = 0; +} + +static void +fh_cascading_cut(struct fibheap *h, struct fibheap_el *y) +{ + struct fibheap_el *z; + + while ((z = y->fhe_p) != NULL) { + if (y->fhe_mark == 0) { + y->fhe_mark = 1; + return; + } else { + fh_cut(h, y, z); + y = z; + } + } +} + +/* + * begining of handling elements of fibheap + */ +static struct fibheap_el * +fhe_newelem() +{ + struct fibheap_el *e; + + if ((e = (fibheap_el*) malloc(sizeof *e)) == NULL) + return NULL; + + fhe_initelem(e); + + return e; +} + +static void +fhe_initelem(struct fibheap_el *e) +{ + e->fhe_degree = 0; + e->fhe_mark = 0; + e->fhe_p = NULL; + e->fhe_child = NULL; + e->fhe_left = e; + e->fhe_right = e; + e->fhe_data = NULL; +} + +static void +fhe_insertafter(struct fibheap_el *a, struct fibheap_el *b) +{ + if (a == a->fhe_right) { + a->fhe_right = b; + a->fhe_left = b; + b->fhe_right = a; + b->fhe_left = a; + } else { + b->fhe_right = a->fhe_right; + a->fhe_right->fhe_left = b; + a->fhe_right = b; + b->fhe_left = a; + } +} + +static inline void +fhe_insertbefore(struct fibheap_el *a, struct fibheap_el *b) +{ + fhe_insertafter(a->fhe_left, b); +} + +static struct fibheap_el * +fhe_remove(struct fibheap_el *x) +{ + struct fibheap_el *ret; + + if (x == x->fhe_left) + ret = NULL; + else + ret = x->fhe_left; + + /* fix the parent pointer */ + if (x->fhe_p != NULL && x->fhe_p->fhe_child == x) + x->fhe_p->fhe_child = ret; + + x->fhe_right->fhe_left = x->fhe_left; + x->fhe_left->fhe_right = x->fhe_right; + + /* clear out hanging pointers */ + x->fhe_p = NULL; + x->fhe_left = x; + x->fhe_right = x; + + return ret; +} + +static void +fh_checkcons(struct fibheap *h) +{ + int oDl; + + /* make sure we have enough memory allocated to "reorganize" */ + if (h->fh_Dl == -1 || h->fh_n > (1 << h->fh_Dl)) { + oDl = h->fh_Dl; + if ((h->fh_Dl = ceillog2(h->fh_n) + 1) < 8) + h->fh_Dl = 8; + if (oDl != h->fh_Dl) + h->fh_cons = (struct fibheap_el **)realloc(h->fh_cons, + sizeof *h->fh_cons * (h->fh_Dl + 1)); + if (h->fh_cons == NULL) + abort(); + } +} + +static int +fh_compare(struct fibheap *h, struct fibheap_el *a, struct fibheap_el *b) +{ + if (h->fh_keys) { + if (a->fhe_key < b->fhe_key) + return -1; + if (a->fhe_key == b->fhe_key) + return 0; + return 1; + } else + return h->fh_cmp_fnct(a->fhe_data, b->fhe_data); +} + +static int +fh_comparedata(struct fibheap *h, int key, void *data, struct fibheap_el *b) +{ + struct fibheap_el a; + + a.fhe_key = key; + a.fhe_data = data; + + return fh_compare(h, &a, b); +} + +static void +fh_insertel(struct fibheap *h, struct fibheap_el *x) +{ + fh_insertrootlist(h, x); + + if (h->fh_min == NULL || (h->fh_keys ? x->fhe_key < h->fh_min->fhe_key + : h->fh_cmp_fnct(x->fhe_data, h->fh_min->fhe_data) < 0)) + h->fh_min = x; + + h->fh_n++; + +#ifdef FH_STATS + if (h->fh_n > h->fh_maxn) + h->fh_maxn = h->fh_n; + h->fh_ninserts++; +#endif + +} diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/fib.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/fib.h new file mode 100644 index 0000000..1238a45 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/fib.h @@ -0,0 +1,65 @@ +/*- + * Copyright 1997, 1998-2003 John-Mark Gurney. + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + * + * $Id: fib.h,v 1.10 2003/01/14 10:11:30 jmg Exp $ + * + */ + +#ifndef _FIB_H_ +#define _FIB_H_ + +struct fibheap; +struct fibheap_el; +typedef int (*voidcmp)(void *, void *); + +/* functions for key heaps */ +struct fibheap *fh_makekeyheap(void); +struct fibheap_el *fh_insertkey(struct fibheap *, int, void *); +int fh_minkey(struct fibheap *); +int fh_replacekey(struct fibheap *, struct fibheap_el *, int); +void *fh_replacekeydata(struct fibheap *, struct fibheap_el *, int, void *); + +/* functions for void * heaps */ +struct fibheap *fh_makeheap(void); +voidcmp fh_setcmp(struct fibheap *, voidcmp); +void *fh_setneginf(struct fibheap *, void *); +struct fibheap_el *fh_insert(struct fibheap *, void *); + +/* shared functions */ +void *fh_extractmin(struct fibheap *); +void *fh_min(struct fibheap *); +void *fh_replacedata(struct fibheap *, struct fibheap_el *, void *); +void *fh_delete(struct fibheap *, struct fibheap_el *); +void fh_deleteheap(struct fibheap *); +struct fibheap *fh_union(struct fibheap *, struct fibheap *); +bool fh_isempty(const struct fibheap *); + +#ifdef FH_STATS +int fh_maxn(struct fibheap *); +int fh_ninserts(struct fibheap *); +int fh_nextracts(struct fibheap *); +#endif + +#endif /* _FIB_H_ */ diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/fibpriv.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/fibpriv.h new file mode 100644 index 0000000..4a896ce --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/fibpriv.h @@ -0,0 +1,107 @@ +/*- + * Copyright 1997, 1999-2003 John-Mark Gurney. + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + * + * $Id: fibpriv.h,v 1.12 2003/01/14 10:11:30 jmg Exp $ + * + */ + +#ifndef _FIBPRIV_H_ +#define _FIBPRIV_H_ + +struct fibheap_el; + +/* + * global heap operations + */ +struct fibheap { + int (*fh_cmp_fnct)(void *, void *); + int fh_n; + int fh_Dl; + struct fibheap_el **fh_cons; + struct fibheap_el *fh_min; + struct fibheap_el *fh_root; + void *fh_neginf; + int fh_keys : 1; +#ifdef FH_STATS + int fh_maxn; + int fh_ninserts; + int fh_nextracts; +#endif +}; + +static void fh_initheap(struct fibheap *); +static void fh_insertrootlist(struct fibheap *, struct fibheap_el *); +static void fh_removerootlist(struct fibheap *, struct fibheap_el *); +static void fh_consolidate(struct fibheap *); +static void fh_heaplink(struct fibheap *h, struct fibheap_el *y, + struct fibheap_el *x); +static void fh_cut(struct fibheap *, struct fibheap_el *, struct fibheap_el *); +static void fh_cascading_cut(struct fibheap *, struct fibheap_el *); +static struct fibheap_el *fh_extractminel(struct fibheap *); +static void fh_checkcons(struct fibheap *h); +static void fh_destroyheap(struct fibheap *h); +static int fh_compare(struct fibheap *h, struct fibheap_el *a, + struct fibheap_el *b); +static int fh_comparedata(struct fibheap *h, int key, void *data, + struct fibheap_el *b); +static void fh_insertel(struct fibheap *h, struct fibheap_el *x); +static void fh_deleteel(struct fibheap *h, struct fibheap_el *x); + +/* + * specific node operations + */ +struct fibheap_el { + int fhe_degree; + int fhe_mark; + struct fibheap_el *fhe_p; + struct fibheap_el *fhe_child; + struct fibheap_el *fhe_left; + struct fibheap_el *fhe_right; + int fhe_key; + void *fhe_data; +}; + +static struct fibheap_el *fhe_newelem(void); +static void fhe_initelem(struct fibheap_el *); +static void fhe_insertafter(struct fibheap_el *a, struct fibheap_el *b); +static void fhe_insertbefore(struct fibheap_el *a, struct fibheap_el *b); +static struct fibheap_el *fhe_remove(struct fibheap_el *a); +#define fhe_destroy(x) free((x)) + +/* + * general functions + */ +static int ceillog2(unsigned int n) +{ + int x = 0; + while (n > 1) + { + x++; + n /= 2; + } + return x; +} + +#endif /* _FIBPRIV_H_ */ diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/fibtest.c b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/fibtest.c new file mode 100644 index 0000000..c7be1e9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/fibtest.c @@ -0,0 +1,80 @@ +#include +#include +#include "fib.h" + +int main(void) +{ + struct fibheap *a; + void *arr[10]; + int i; + + a = fh_makekeyheap(); + + for (i=1 ; i < 10 ; i++) + { + arr[i]= fh_insertkey(a,0,(void *)i); + printf("adding: 0 %d \n",i); + } + + printf(" \n"); + fh_replacekey(a, arr[1],-1); + fh_replacekey(a, arr[6],-1); + fh_replacekey(a, arr[4],-1); + fh_replacekey(a, arr[2],-1); + fh_replacekey(a, arr[8],-1); + + printf("value(minkey) %d\n",fh_minkey(a)); + printf("id: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[7],-33); +/* -> node 7 becomes root node, but is still pointed to by node 6 */ + fh_replacekey(a, arr[4],-36); + fh_replacekey(a, arr[3],-1); + fh_replacekey(a, arr[9],-81); + + printf("value(minkey) %d\n",fh_minkey(a)); + printf("id: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[6],-68); + fh_replacekey(a, arr[2],-69); + + printf("value(minkey) %d\n",fh_minkey(a)); + printf("id: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[1],-52); + fh_replacekey(a, arr[3],-2); + fh_replacekey(a, arr[4],-120); + fh_replacekey(a, arr[5],-48); + + printf("value(minkey) %d\n",fh_minkey(a)); + printf("id: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[3],-3); + fh_replacekey(a, arr[5],-63); + + printf("value(minkey) %d\n",fh_minkey(a)); + printf("id: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[5],-110); + fh_replacekey(a, arr[7],-115); + + printf("value(minkey) %d\n",fh_minkey(a)); + printf("id: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[5],-188); + + printf("value(minkey) %d\n",fh_minkey(a)); + printf("id: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[3],-4); + + printf("value(minkey) %d\n",fh_minkey(a)); + printf("id: %d\n\n", (int)fh_extractmin(a)); + + printf("value(minkey) %d\n",fh_minkey(a)); + printf("id: %d\n\n", (int)fh_extractmin(a)); + + fh_deleteheap(a); + + return 0; +} diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/fibtest2.c b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/fibtest2.c new file mode 100644 index 0000000..8a623b6 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/fibtest2.c @@ -0,0 +1,69 @@ +#include +#include +#include "fib.h" + +int +main(void) { + struct fibheap *a; + void *arr[10]; + int i; + a = fh_makekeyheap(); + + for (i=1 ; i < 10 ; i++) + { + arr[i]= fh_insertkey(a,0,(void *)i); + printf("adding: 0 %d \n",i); + } + + printf(" \n"); + fh_replacekey(a, arr[1],-38); + fh_replacekey(a, arr[7],-34); + + printf("wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + fh_replacekey(a, arr[2],-55); + fh_replacekey(a, arr[5],-56); + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[4],-1); + fh_replacekey(a, arr[2],-102); + fh_replacekey(a, arr[6],-1); + fh_replacekey(a, arr[9],-1); + fh_replacekey(a, arr[8],-4); + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + fh_replacekey(a, arr[3],-74); + fh_replacekey(a, arr[8],-55); + fh_replacekey(a, arr[4],-2); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + fh_replacekey(a, arr[4],-3); + fh_replacekey(a, arr[6],-2); + fh_replacekey(a, arr[7],-99); + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + fh_replacekey(a, arr[6],-3); + fh_replacekey(a, arr[4],-4); + fh_replacekey(a, arr[8],-94); + fh_replacekey(a, arr[9],-2); + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + fh_replacekey(a, arr[6],-4); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + /*fh_replacekey(a, arr[9],-3);*/ + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + /*fh_replacekey(a, arr[9],-49);*/ + + fh_deleteheap(a); + + return 0; +} diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/tt.c b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/tt.c new file mode 100644 index 0000000..26db1d2 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/tt.c @@ -0,0 +1,64 @@ +#include +#include +#include "fib.h" + +int main(void) +{ + + struct fibheap *a; + void *arr[10]; + int i; + + a = fh_makekeyheap(); + + for (i=1 ; i < 8 ; i++) + { + arr[i]= fh_insertkey(a,0,(void *)i); + printf("adding: 0 %d \n",i); + } + + printf(" \n"); + + fh_replacekey(a, arr[1],-2); + fh_replacekey(a, arr[4],-3); + fh_replacekey(a, arr[7],-5); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[3],-2); + fh_replacekey(a, arr[6],-1); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[1],-9); + fh_replacekey(a, arr[5],-3); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[2],-4); + fh_replacekey(a, arr[5],-5); + fh_replacekey(a, arr[6],-3); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + fh_replacekey(a, arr[2],-6); + fh_replacekey(a, arr[6],-6); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + printf("Wert(minkey) %d\n",fh_minkey(a)); + printf("Knoten: %d\n\n", (int)fh_extractmin(a)); + + fh_deleteheap(a); + + return 0; +} + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/use.c b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/use.c new file mode 100644 index 0000000..e8db327 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/fheap/use.c @@ -0,0 +1,126 @@ +#include +#include +#include + +#include "fib.h" + +#define TESTCASE 1 + +#define COUNT 100000 +#define DIF 1000 +#define MAXEXT 10 +#define VERBOSE 1 + +int cmp(void *, void *); + +int +cmp(void *x, void *y) +{ + int a, b; + a = (int)x; + b = (int)y; + + if (a < b) + return -1; + if (a == b) + return 0; + return 1; +} + +int +main(void) +{ +#if !TESTCASE + struct fibheap_el *w; +#else + int e, j, k; +#endif + struct fibheap *a; + int i, x; + + a = fh_makeheap(); + fh_setcmp(a, cmp); + + srandom(time(NULL)); +#if TESTCASE +#if VERBOSE + printf("inserting: "); +#endif + e = 0; + for (i = 0; i < COUNT; i++) { +#if VERBOSE + if (i) + printf(", "); +#endif + fh_insert(a, (void *)(x = random()/10)); +#if VERBOSE + printf("%d", x); +#endif + if (i - e > DIF) { + k = random() % MAXEXT; + for (j = 0; j < k; j++, e++) + printf("throwing: %d\n", (int)fh_extractmin(a)); + } + } + +#if VERBOSE + printf("\nremaining: %d\n", COUNT - e); + printf("extracting: "); +#endif + for (i = 0; i < COUNT - e; i++) { +#if VERBOSE + if (i) + printf(", "); + printf("%d", (int)fh_extractmin(a)); +#else + fh_extractmin(a); +#endif + } +#if VERBOSE + printf("\n"); +#endif + if ((int)fh_extractmin(a) == 0) + printf("heap empty!\n"); + else { + printf("heap not empty! ERROR!\n"); + exit(1); + } +#else + w = fh_insert(a, (void *)6); + printf("adding: %d\n", 6); + fh_insert(a, (void *)9); + printf("adding: %d\n", 9); + fh_insert(a, (void *)1); + printf("adding: %d\n", 1); + for(i = 0; i < 5; i++) { + x = random()/10000; + printf("adding: %d\n", x); + fh_insert(a, (void *)x); + } + fh_insert(a, (void *)4); + printf("adding: %d\n", 4); + fh_insert(a, (void *)8); + printf("adding: %d\n", 8); + printf("first: %d\n", (int)fh_extractmin(a)); + printf("deleting: %d\n", (int)fh_delete(a, w)); + printf("first: %d\n", (int)fh_extractmin(a)); + printf("first: %d\n", (int)fh_extractmin(a)); + printf("first: %d\n", (int)fh_extractmin(a)); + printf("first: %d\n", (int)fh_extractmin(a)); + printf("first: %d\n", (int)fh_extractmin(a)); + for(i = 0; i < 5; i++) { + x = random()/10000; + printf("adding: %d\n", x); + fh_insert(a, (void *)x); + } + printf("first: %d\n", (int)fh_extractmin(a)); + printf("first: %d\n", (int)fh_extractmin(a)); + printf("first: %d\n", (int)fh_extractmin(a)); + printf("first: %d\n", (int)fh_extractmin(a)); + printf("first: %d\n", (int)fh_extractmin(a)); +#endif + + fh_deleteheap(a); + + return 0; +} diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/.svn/all-wcprops b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/.svn/all-wcprops new file mode 100644 index 0000000..7286e96 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/.svn/all-wcprops @@ -0,0 +1,17 @@ +K 25 +svn:wc:ra_dav:version-url +V 72 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw +END +gw.suo +K 25 +svn:wc:ra_dav:version-url +V 79 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw.suo +END +gw.sln +K 25 +svn:wc:ra_dav:version-url +V 79 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw.sln +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/.svn/entries 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b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/format @@ -0,0 +1 @@ +8 diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Config.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Config.cpp.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Config.cpp.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Config.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Config.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Config.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Face.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Face.cpp.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Face.cpp.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Face.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Face.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Face.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Face.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Face.inl.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Face.inl.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_FaceIterator.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_FaceIterator.cpp.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_FaceIterator.cpp.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_FaceIterator.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_FaceIterator.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_FaceIterator.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_MathsWrapper.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_MathsWrapper.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_MathsWrapper.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Mesh.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Mesh.cpp.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Mesh.cpp.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Mesh.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Mesh.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Mesh.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Mesh.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Mesh.inl.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Mesh.inl.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_PolygonIntersector.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_PolygonIntersector.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_PolygonIntersector.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_ProgressBar.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_ProgressBar.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_ProgressBar.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Serializable.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Serializable.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Serializable.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_SmartCounter.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_SmartCounter.cpp.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_SmartCounter.cpp.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_SmartCounter.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_SmartCounter.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_SmartCounter.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_SmartCounter.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_SmartCounter.inl.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_SmartCounter.inl.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Vertex.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Vertex.cpp.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Vertex.cpp.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Vertex.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Vertex.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Vertex.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Vertex.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Vertex.inl.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_Vertex.inl.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_VertexIterator.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_VertexIterator.cpp.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_VertexIterator.cpp.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_VertexIterator.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_VertexIterator.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/GW_VertexIterator.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/gw_core.vcproj.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/gw_core.vcproj.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/gw_core.vcproj.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/stdafx.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/stdafx.cpp.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/stdafx.cpp.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/stdafx.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/stdafx.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/prop-base/stdafx.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Config.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Config.cpp.svn-base new file mode 100644 index 0000000..c25abf0 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Config.cpp.svn-base @@ -0,0 +1,37 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Config.cpp + * \brief Definition of class \c GW_Config + * \author Gabriel Peyré + * \date 5-1-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_Config.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_Config.h" + +using namespace GW; + +string GW::gw_alinea = " * "; +string GW::gw_endl = "\n"; +FILE* GW::GW_OutputStream = NULL; + +void GW::GW_OutputComment( const char* str ) +{ + if( GW_OutputStream!=NULL ) + { + string str2 = gw_alinea + str + gw_endl; + fprintf( GW_OutputStream, str2.c_str() ); + } +} + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Config.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Config.h.svn-base new file mode 100644 index 0000000..6550c47 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Config.h.svn-base @@ -0,0 +1,395 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Config.h + * \brief Main configuration file. + * \author Gabriel Peyré + * \date 10-26-2002 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_CONFIG_H_ +#define _GW_CONFIG_H_ + + +// #include "stdafx.h" +#include +#include + +namespace GW { + +#define GW_VERSION 100 +#undef WIN32 +#define WIN32 + +//------------------------------------------------------------------------- +/** \name debug & inline directive */ +//------------------------------------------------------------------------- +//@{ +#ifdef _DEBUG + #ifndef GW_DEBUG + #define GW_DEBUG + #endif // GW_DEBUG +#endif // _DEBUG + +#ifndef GW_DEBUG + #ifndef GW_USE_INLINE + #define GW_USE_INLINE + #endif // GW_USE_INLINE +#endif // GW_DEBUG + +#ifdef GW_USE_INLINE + #ifndef GW_INLINE + #define GW_INLINE inline + #endif // GWION3D_INLINE +#else + #ifndef GW_INLINE + #define GW_INLINE + #endif // GW_INLINE +#endif // GW_USE_INLINE +//@} + +//------------------------------------------------------------------------- +/** \name Name space management */ +//------------------------------------------------------------------------- +//@{ +#define GW_BEGIN_NAMESPACE namespace GW { +#define GW_END_NAMESPACE } +//@} + + +//------------------------------------------------------------------------- +/** \name Basic types */ +//------------------------------------------------------------------------- +//@{ +#ifdef __UNIX__ + typedef char GW_I8; + typedef unsigned char GW_U8; + typedef short GW_I16; + typedef unsigned short GW_U16; + typedef long GW_I32; + typedef unsigned long GW_U32; + typedef long long int GW_I64; + typedef unsigned long long int GW_U64; + typedef float GW_Real32; + typedef double GW_Real64; + typedef bool GW_Bool; + typedef GW_Real64 GW_Float; +#elif defined (WIN32) + typedef char GW_I8; + typedef unsigned char GW_U8; + typedef short GW_I16; + typedef unsigned short GW_U16; + typedef long GW_I32; + typedef unsigned long GW_U32; + //typedef __int64 GW_I64; + //typedef unsigned __int64 GW_U64; + typedef float GW_Real32; + typedef double GW_Real64; + typedef bool GW_Bool; + typedef GW_Real64 GW_Float; +#elif defined (_PS2_) + typedef char GW_I8; + typedef unsigned char GW_U8; + typedef short GW_I16; + typedef unsigned short GW_U16; + typedef int GW_I32; + typedef unsigned int GW_U32; + typedef long long GW_I64; + typedef unsigned long long GW_U64; + typedef float GW_Real32; + typedef double GW_Real64; + typedef GW_I8 GW_Bool; + typedef GW_Real64 GW_Float; +#else + #error "Unknown architecture !" +#endif + + typedef void* GW_UserData; + + /** value returned by function to indicates error GW GW_OK */ + typedef GW_I32 GW_RETURN_CODE; + +//@} + +//------------------------------------------------------------------------- +/** \name numerical macros */ +//------------------------------------------------------------------------- +//@{ +#undef MIN +#undef MAX +#define MIN(a, b) ((a) < (b) ? (a) : (b)) //!< Returns the min value between a and b +#define MAX(a, b) ((a) > (b) ? (a) : (b)) //!< Returns the max value between a and b +#define MAXMAX(a,b,c) ((a) > (b) ? MAX (a,c) : MAX (b,c)) +#define GW_MIN(a, b) MIN(a,b) //!< Returns the min value between a and b +#undef GW_MAX // already defined by Windows.h ... +#define GW_MAX(a, b) MAX(a,b) //!< Returns the max value between a and b +#define GW_MAXMAX(a,b,c) MAXMAX(a,b,c) + +#define GW_SCALE_01(x,rMin,rMax) ((x-rMin)/(rMax-rMin)) + +#define GW_ABS(a) ((a) > 0 ? (a) : -(a)) //!< Returns the absolute value a + +#define SQR(x) ((x)*(x)) //!< Returns x square +#define CUBE(x) ((x)*(x)*(x)) //!< Returns x cube +#define GW_SQR(x) SQR(x) //!< Returns x square +#define GW_CUBE(x) CUBE(x) //!< Returns x cube + +#define GW_CLAMP_01(x) if( (x)<0 ) x=0; if( (x)>1 ) x=1 +#define GW_CLAMP(x, a,b) if( (x)b ) x=b + +#define GW_SWAP(x,y) x^=y; y^=x; x^=y +#define GW_ORDER(x,y) if(x>y){ GW_SWAP(x,y); } +//@} + +//------------------------------------------------------------------------- +/** \name generic macros */ +//------------------------------------------------------------------------- +//@{ +/** a random number in [0-1] */ +#undef GW_RAND +#define GW_RAND ((GW_Float) (rand()%10000))/10000 +/** a random number in [a,b] */ +#define GW_RAND_RANGE(a,b) (a)+((b)-(a))*((GW_Float) (rand()%10000))/10000 +/** delete a single pointer */ +#define GW_DELETE(p) {if (p!=NULL) delete p; p=NULL;} +/** delete an array pointer */ +#define GW_DELETEARRAY(p) {if (p!=NULL) delete [] p; p=NULL;} +//@} + +//------------------------------------------------------------------------- +/** \name some constants */ +//------------------------------------------------------------------------- +//@{ +#define GW_True true +#define GW_False false +/** to make aproximate computations (derivation, GW_Float comparaisons ...) */ +#define GW_EPSILON 1e-9 +/** very big number */ +#define GW_INFINITE 1e9 +/** space coords */ +enum GW_Coord_XYZW { X, Y, Z, W }; +/** color coords */ +enum GW_Coord_RVBA { R, V, B, A }; +/** The temporary file we use to launch debug test involving stream I/O */ +#define GW_TEST_FILE "test.bin" +//@} + +//------------------------------------------------------------------------- +/** \name numerical constants */ +//------------------------------------------------------------------------- +//@{ +/** pi */ +#define GW_PI 3.1415926535897932384626433832795028841971693993751f +/** pi/2 */ +#define GW_HALFPI 1.57079632679489661923f +/** 2*pi */ +#define GW_TWOPI 6.28318530717958647692f +/** 1/pi */ +#define GW_INVPI 0.31830988618379067154f +/** 180/pi */ +#define GW_RADTODEG(x) (x)*57.2957795130823208768f +/** pi/180 */ +#define GW_DEGTORAD(x) (x)*0.01745329251994329577f +/** e */ +#define GW_EXP 2.71828182845904523536f +/** 1/log10(2) */ +#define GW_ILOG2 3.32192809488736234787f +/** 1/3 */ +#define GW_INV3 0.33333333333333333333f +/** 1/6 */ +#define GW_INV6 0.16666666666666666666f +/** 1/9 */ +#define GW_INV7 0.14285714285714285714f +/** 1/9 */ +#define GW_INV9 0.11111111111111111111f +/** 1/255 */ +#define GW_INV255 0.00392156862745098039f +/** sqrt(2) */ +#define GW_SQRT2 1.41421356237f +//@} + +//------------------------------------------------------------------------- +/** \name assertion macros */ +//------------------------------------------------------------------------- +//@{ +#ifdef GW_DEBUG + #define GW_ASSERT(expr) _ASSERT(expr) + #define GW_DEBUG_ONLY(expr) expr +#else + #define GW_ASSERT(expr) // if(!(expr)) cerr << "Error in file " << __FILE__ << " line " << __LINE__ << "." << endl + #define GW_DEBUG_ONLY(expr) +#endif // GW_DEBUG +//@} + +//------------------------------------------------------------------------- +/** \name GW return codes */ +//------------------------------------------------------------------------- +//@{ +#define GW_OK 0 +#define GW_ERROR -9 +#define GW_Invalid_Argument -10 +#define GW_Unknown_Argument -11 +#define GW_Error_Opening_File -14 +#define GW_Error_File_Not_Supported -15 +#define GW_Error_Argument_OutOfRange -17 +#define GW_Error_Buffer_OverFlow -18 +//@} + +//------------------------------------------------------------------------- +/** \name The different kind of transform we suppport for the moment. */ +//------------------------------------------------------------------------- +//@{ +enum T_WaveletTransformType +{ + T_IntegralDataChunk +}; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_Float */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_FloatVector; +typedef T_FloatVector::iterator IT_FloatVector; +typedef T_FloatVector::reverse_iterator RIT_FloatVector; +typedef T_FloatVector::const_iterator CIT_FloatVector; +typedef T_FloatVector::const_reverse_iterator CRIT_FloatVector; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_Float */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_FloatMap; +typedef T_FloatMap::iterator IT_FloatMap; +typedef T_FloatMap::reverse_iterator RIT_FloatMap; +typedef T_FloatMap::const_iterator CIT_FloatMap; +typedef T_FloatMap::const_reverse_iterator CRIT_FloatMap; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a list of string */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::list T_StringList; +typedef T_StringList::iterator IT_StringList; +typedef T_StringList::reverse_iterator RIT_StringList; +typedef T_StringList::const_iterator CIT_StringList; +typedef T_StringList::const_reverse_iterator CRIT_StringList; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a vector of string */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_StringVector; +typedef T_StringVector::iterator IT_StringVector; +typedef T_StringVector::reverse_iterator RIT_StringVector; +typedef T_StringVector::const_iterator CIT_StringVector; +typedef T_StringVector::const_reverse_iterator CRIT_StringVector; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_U32 */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_U32Map; +typedef T_U32Map::iterator IT_U32Map; +typedef T_U32Map::reverse_iterator RIT_U32Map; +typedef T_U32Map::const_iterator CIT_U32Map; +typedef T_U32Map::const_reverse_iterator CRIT_U32Map; +//@} + + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_U32 */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_U32Vector; +typedef T_U32Vector::iterator IT_U32Vector; +typedef T_U32Vector::reverse_iterator RIT_U32Vector; +typedef T_U32Vector::const_iterator CIT_U32Vector; +typedef T_U32Vector::const_reverse_iterator CRIT_U32Vector; +//@} + + + +//------------------------------------------------------------------------- +/** \name Tests for maths operations. */ +//------------------------------------------------------------------------- +//@{ +inline +void TestMathBit() +{ +#if 0 + GW_U32 bit = _clearfp(); + if( bit>1 ) + { +// GW_ASSERT(GW_False); + if( (bit&_SW_UNDERFLOW)==_SW_UNDERFLOW ) + cerr << "Math operation problem : underflow." << endl; + if( (bit&_SW_OVERFLOW)==_SW_OVERFLOW ) + cerr << "Math operation problem : overflow." << endl; + if( (bit&_SW_ZERODIVIDE)==_SW_ZERODIVIDE ) + cerr << "Math operation problem : zero divide." << endl; + if( (bit&_SW_INVALID)==_SW_INVALID ) + cerr << "Math operation problem : invalid." << endl; + } +#endif +} + +#ifdef GW_DEBUG + #define GW_CHECK_MATHSBIT() TestMathBit() +#else + #define GW_CHECK_MATHSBIT() +#endif // GW_DEBUG +//@} + + +/** callback that informs on the evolution of an algorithm */ +typedef void (*T_EvolutionCallback)( GW_Float rPerCent, const char* message ); + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_NodeMap */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_NodeMapVector; +typedef T_NodeMapVector::iterator IT_NodeMapVector; +typedef T_NodeMapVector::reverse_iterator RIT_NodeMapVector; +typedef T_NodeMapVector::const_iterator CIT_NodeMapVector; +typedef T_NodeMapVector::const_reverse_iterator CRIT_NodeMapVector; +//@} + +//------------------------------------------------------------------------- +/** \name output direction. */ +//------------------------------------------------------------------------- +//@{ +extern string gw_alinea; +extern string gw_endl; +extern FILE* GW_OutputStream; + + +void GW_OutputComment( const char* str ); +//@} + + +} // End namespace GW + +#ifdef GW_DEBUG +#define new new(_NORMAL_BLOCK,__FILE__, __LINE__) +#endif + +#endif // _GW_CONFIG_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (C) 2000-2002 The Orion3D Rewiew Board // +//---------------------------------------------------------------------------// +// This file is under the Orion3D licence. // +// Refer to orion3d_licence.txt for more details about the Orion3D Licence. // +//---------------------------------------------------------------------------// +// Ce fichier est soumis a la Licence Orion3D. // +// Se reporter a orion3d_licence.txt pour plus de details sur cette licence.// +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Face.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Face.cpp.svn-base new file mode 100644 index 0000000..466c739 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Face.cpp.svn-base @@ -0,0 +1,67 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Face.cpp + * \brief Definition of class \c GW_Face + * \author Gabriel Peyré + * \date 2-15-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_Face.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_Face.h" +#include "GW_Mesh.h" + +#ifndef GW_USE_INLINE + #include "GW_Face.inl" +#endif + +using namespace GW; + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::operator= +/** + * \param Face [GW_Face&] Face + * \return [GW_Face&] *this + * \author Gabriel Peyré + * \date 1-13-2004 + * + * Copy operator + */ +/*------------------------------------------------------------------------------*/ +GW_Face& GW_Face::operator=(const GW_Face& Face) +{ + this->nID_ = Face.nID_; + return *this; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetArea +/** + * \return [GW_Float] The area. + * \author Gabriel Peyré + * \date 5-30-2003 + * + * Compute the area of the face. + */ +/*------------------------------------------------------------------------------*/ +GW_Float GW_Face::GetArea() +{ + if( Vertex_[0]==NULL ) return 0; + if( Vertex_[1]==NULL ) return 0; + if( Vertex_[2]==NULL ) return 0; + GW_Vector3D e1 = this->GetVertex(1)->GetPosition() - this->GetVertex(0)->GetPosition(); + GW_Vector3D e2 = this->GetVertex(2)->GetPosition() - this->GetVertex(0)->GetPosition(); + return 0.5*GW_ABS( ~(e1^e2) ); +} + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Face.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Face.h.svn-base new file mode 100644 index 0000000..f931ffb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Face.h.svn-base @@ -0,0 +1,150 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Face.h + * \brief Definition of class \c GW_Face + * \author Gabriel Peyré + * \date 2-12-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_FACE_H_ +#define _GW_FACE_H_ + +#include "GW_Config.h" +#include "GW_SmartCounter.h" +#include "GW_Vertex.h" +#include "GW_FaceIterator.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_Face + * \brief A triangle, with its three vertex and its three neighbors. + * \author Gabriel Peyré + * \date 2-12-2003 + * + * We use smart counter to check wether the face should descallocate a + * vertex. + * + * For vertex processing, a face is responsible for the vertex that caries + * a pointer on it. In fact, each vertex has a pointer on a single face + * that is responsible for that vertex. + * + * Vertex, face and edge are labeled in a consistant way. + * This means : + * - edge are labeled by the number of the opposite vertex. + * - neighbor faces are labeled by the edge number, i.e. by the opposite vertex number. + * + * We refer to these number as "edge number". + */ +/*------------------------------------------------------------------------------*/ + +class GW_Face: public GW_SmartCounter +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_Face(); + virtual ~GW_Face(); + virtual GW_Face& operator=(const GW_Face& Face); + //@} + + //------------------------------------------------------------------------- + /** \name Accessors */ + //------------------------------------------------------------------------- + //@{ + void SetFaceNeighbor(GW_Face* pFace, GW_U32 nEdgeNum); + void SetFaceNeighbor(GW_Face* pFace1, GW_Face* pFace2, GW_Face* pFace3); + GW_Face* GetFaceNeighbor( GW_U32 nEdgeNum ); + const GW_Face* GetFaceNeighbor( GW_U32 nEdgeNum ) const; + GW_Face* GetFaceNeighbor( const GW_Vertex& Vert); + GW_Face* GetFaceNeighbor( const GW_Vertex& Vert1, const GW_Vertex& Vert2 ); + + void SetVertex(GW_Vertex& Vert, GW_U32 nNum); + void SetVertex(GW_Vertex& Vert1, GW_Vertex& Vert2, GW_Vertex& Vert3); + GW_Vertex* GetVertex( GW_U32 nNum ); + const GW_Vertex* GetVertex( GW_U32 nNum ) const; + GW_Vertex* GetVertex( const GW_Vertex& Vert1, const GW_Vertex& Vert2 ); + GW_Vertex* GetNextVertex( const GW_Vertex& Vert ); + + GW_I32 GetEdgeNumber( const GW_Face& Face ); + GW_I32 GetEdgeNumber( const GW_Vertex& Vert ); + GW_I32 GetEdgeNumber( const GW_Vertex& Vert1, const GW_Vertex& Vert2 ); + + GW_Bool IsResponsibleFor( GW_U32 nNum ); + + void SetID(GW_U32 nID); + GW_U32 GetID() const; + + GW_Float GetArea(); + GW_Vector3D ComputeNormal(); + //@} + +private: + + /** our defining vertex */ + GW_Vertex* Vertex_[3]; + /** the 2 faces arround us */ + GW_Face* FaceNeighbors_[3]; + /** The ID the face, given by the Mesh. Should be in the range [0,...,NbrVertex] */ + GW_U32 nID_; + +}; + +/*------------------------------------------------------------------------------*/ +/** \name a list of GW_Face */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::list T_FaceList; +typedef T_FaceList::iterator IT_FaceList; +typedef T_FaceList::reverse_iterator RIT_FaceList; +typedef T_FaceList::const_iterator CIT_FaceList; +typedef T_FaceList::const_reverse_iterator CRIT_FaceList; +//@} + + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_Face */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_FaceVector; +typedef T_FaceVector::iterator IT_FaceVector; +typedef T_FaceVector::reverse_iterator RIT_FaceVector; +typedef T_FaceVector::const_iterator CIT_FaceVector; +typedef T_FaceVector::const_reverse_iterator CRIT_FaceVector; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_Face */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_FaceMap; +typedef T_FaceMap::iterator IT_FaceMap; +typedef T_FaceMap::reverse_iterator RIT_FaceMap; +typedef T_FaceMap::const_iterator CIT_FaceMap; +typedef T_FaceMap::const_reverse_iterator CRIT_FaceMap; +//@} + + + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_Face.inl" +#endif + + +#endif // _GW_FACE_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Face.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Face.inl.svn-base new file mode 100644 index 0000000..7f86c70 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Face.inl.svn-base @@ -0,0 +1,455 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Face.inl + * \brief Inlined methods for \c GW_Face + * \author Gabriel Peyré + * \date 2-15-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_Face.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face constructor +/** + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Face::GW_Face() +{ + for( GW_U32 i=0; i<3; ++i ) + { + Vertex_[i] = NULL; + FaceNeighbors_[i] = NULL; + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::virtual ~GW_Face +/** + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Face::~GW_Face() +{ + for( GW_U32 i=0; i<3; ++i ) + GW_SmartCounter::CheckAndDelete( Vertex_[i] ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::SetFaceNeighbor +/** + * \param pFace [GW_Face*] The face. Can be NULL for border faces. + * \param nEdgeNum [GW_U32] The number of the edge we are sharing with this face. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Set one of the neigbhoring faces. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Face::SetFaceNeighbor(GW_Face* pFace, GW_U32 nEdgeNum) +{ + GW_ASSERT( nEdgeNum<3 ); + FaceNeighbors_[nEdgeNum] = pFace; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::SetFaceNeighbor +/** + * \param pFace1 [GW_Face*] face 0 + * \param pFace2 [GW_Face*] face 1 + * \param pFace3 [GW_Face*] face 2 + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Assign the 3 face in one time. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Face::SetFaceNeighbor(GW_Face* pFace0, GW_Face* pFace1, GW_Face* pFace2) +{ + this->SetFaceNeighbor( pFace0, 0 ); + this->SetFaceNeighbor( pFace1, 1 ); + this->SetFaceNeighbor( pFace2, 2 ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetFaceNeighbor +/** + * \param nEdgeNum [GW_U32] number of the face. + * \return [GW_Face*] The face. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get one of the face neighbor + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Face* GW_Face::GetFaceNeighbor(GW_U32 nEdgeNum) +{ + GW_ASSERT( nEdgeNum<3 ); + return FaceNeighbors_[nEdgeNum]; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetFaceNeighbor +/** +* \param nEdgeNum [GW_U32] number of the face. +* \return [GW_Face*] The face. +* \author Gabriel Peyré +* \date 2-15-2003 +* +* Get one of the face neighbor +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +const GW_Face* GW_Face::GetFaceNeighbor(GW_U32 nEdgeNum) const +{ + GW_ASSERT( nEdgeNum<3 ); + return FaceNeighbors_[nEdgeNum]; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetFaceNeighbor +/** + * \param Vert [GW_Vertex&] The vertex. + * \return [GW_Face*] The face. Can be NULL if correct vertex not found. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Return the neighboring face in front of the given vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Face* GW_Face::GetFaceNeighbor(const GW_Vertex& Vert) +{ + for( GW_U32 i=0; i<3; ++i ) + { + if( Vertex_[i]==&Vert ) + return FaceNeighbors_[i]; + } + return NULL; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetFaceNeighbor +/** +* \param Vert1 [GW_Vertex&] first vertex of the edge. +* \param Vert2 [GW_Vertex&] Second one. +* \return [GW_Face*] The face. Can be NULL if correct vertex not found. +* \author Gabriel Peyré +* \date 2-15-2003 +* +* Return the neighboring face in front of the given vertex. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Face* GW_Face::GetFaceNeighbor( const GW_Vertex& Vert1, const GW_Vertex& Vert2 ) +{ + GW_I32 nEdge = this->GetEdgeNumber( Vert1, Vert2 ); + if( nEdge<0 ) + return NULL; + return this->GetFaceNeighbor( nEdge ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::SetVertex +/** + * \param Vert [GW_Vertex&] The new vertex. + * \param nNum [GW_U32] Its number. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Set the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Face::SetVertex(GW_Vertex& Vert, GW_U32 nNum) +{ + GW_ASSERT( nNum<3 ); + /* check the previous one, delete it if needed */ + GW_SmartCounter::CheckAndDelete( Vertex_[nNum] ); + + if( Vert.GetFace()==NULL ) + Vert.SetFace( *this ); + + Vertex_[nNum] = ‖ + Vert.UseIt(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::SetVertex +/** + * \param Vert0 [GW_Vertex&] vertex 0 + * \param Vert1 [GW_Vertex&] vertex 1 + * \param Vert2 [GW_Vertex&] vertex 2 + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Set all vertex in once. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Face::SetVertex(GW_Vertex& Vert0, GW_Vertex& Vert1, GW_Vertex& Vert2) +{ + this->SetVertex( Vert0, 0 ); + this->SetVertex( Vert1, 1 ); + this->SetVertex( Vert2, 2 ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetVertex +/** + * \param nNum [GW_U32] The number of the vertex. + * \return [GW_Vertex*] the vertex. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get one of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vertex* GW_Face::GetVertex(GW_U32 nNum) +{ + GW_ASSERT( nNum<3 ); + return Vertex_[nNum]; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetVertex +/** +* \param nNum [GW_U32] The number of the vertex. +* \return [GW_Vertex*] the vertex. +* \author Gabriel Peyré +* \date 2-15-2003 +* +* Get one of the vertex. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +const GW_Vertex* GW_Face::GetVertex(GW_U32 nNum) const +{ + GW_ASSERT( nNum<3 ); + return Vertex_[nNum]; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetVertex +/** + * \param Vert1 [GW_Vertex&] first vertex of the edge. + * \param Vert2 [GW_Vertex&] Second one. + * \return [GW_Vertex*] the vertex. can be NULL if edge doesn't exist. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get the vertex in front of a given edge. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vertex* GW_Face::GetVertex( const GW_Vertex& Vert1, const GW_Vertex& Vert2 ) +{ + GW_I32 nEdge = this->GetEdgeNumber( Vert1, Vert2 ); + if( nEdge<0 ) + return NULL; + return this->GetVertex( nEdge ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetNextVertex +/** + * \param Vert [GW_Vertex&] The vertex. + * \return [GW_Vertex*] The next one. + * \author Gabriel Peyré + * \date 4-1-2003 + * + * Get the vertex following the one given by the user. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vertex* GW_Face::GetNextVertex( const GW_Vertex& Vert ) +{ + for( GW_U32 i=0; i<3; ++i ) + { + if( Vertex_[i]==&Vert ) + return Vertex_[(i+1)%3]; + } + return NULL; +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetEdgeNumber +/** + * \param Face [GW_Face&] The neighbor face. + * \return [GW_I32] The numer. Return -1 if not found. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get the number of the edge whose neighbor face is given. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_I32 GW_Face::GetEdgeNumber( const GW_Face& Face ) +{ + for( GW_U32 i=0; i<3; ++i ) + { + if( FaceNeighbors_[i]==&Face ) + return i; + } + return -1; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetEdgeNumber +/** + * \param Vert [GW_Vertex&] The vertex. + * \return [GW_I32] The number. Return -1 if not found. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Return the number of the edge in front of the given vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_I32 GW_Face::GetEdgeNumber( const GW_Vertex& Vert ) +{ + for( GW_U32 i=0; i<3; ++i ) + { + if( Vertex_[i]==&Vert ) + return i; + } + return -1; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetEdgeNumber +/** + * \param Vert1 [GW_Vertex&] vertex 1 + * \param Vert2 [GW_Vertex&] vertex 2 + * \return [GW_I32] The number. Return -1 if not found. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Return the number of the edge corresponding to the two given + * vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_I32 GW_Face::GetEdgeNumber( const GW_Vertex& Vert1, const GW_Vertex& Vert2 ) +{ + for( GW_U32 i=0; i<3; ++i ) + { + if( Vertex_[i]==&Vert1 ) + { + if( Vertex_[(i+1)%3]==&Vert2 ) + return (i+2)%3; + if( Vertex_[(i+2)%3]==&Vert2 ) + return (i+1)%3; + } + } + return NULL; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::IsResponsibleFor +/** + * \param nNum [GW_U32] number of the vertex + * \return [GW_Bool] yes/no ? + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Return true if we are the parent of a given vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Bool GW_Face::IsResponsibleFor( GW_U32 nNum ) +{ + GW_ASSERT( nNum<3 );; + if( Vertex_[nNum]==NULL ) + return GW_False; + return Vertex_[nNum]->GetFace()==this; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::SetID +/** +* \param nID [GW_U32] New ID +* \author Gabriel Peyré +* \date 3-31-2003 +* +* Set the number of the face in the mesh. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Face::SetID(GW_U32 nID) +{ + nID_ = nID; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetID +/** +* \return [GW_U32] The ID +* \author Gabriel Peyré +* \date 3-31-2003 +* +* Get the ID of the face. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_U32 GW_Face::GetID() const +{ + return nID_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::ComputeNormal +/** + * \return [GW_Vector3D] The normal. + * \author Gabriel Peyré + * \date 7-6-2003 + * + * Compute the normal of the face. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vector3D GW_Face::ComputeNormal() +{ + GW_ASSERT( Vertex_[0]!=NULL ); + GW_ASSERT( Vertex_[1]!=NULL ); + GW_ASSERT( Vertex_[2]!=NULL ); + GW_Vector3D& v0 = Vertex_[0]->GetPosition(); + GW_Vector3D& v1 = Vertex_[1]->GetPosition(); + GW_Vector3D& v2 = Vertex_[2]->GetPosition(); + GW_Vector3D n = (v1-v0)^(v2-v0); + n.Normalize(); + return n; +} + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_FaceIterator.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_FaceIterator.cpp.svn-base new file mode 100644 index 0000000..a165915 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_FaceIterator.cpp.svn-base @@ -0,0 +1,166 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_FaceIterator.cpp + * \brief Definition of class \c GW_FaceIterator + * \author Gabriel Peyré + * \date 4-1-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_FaceIterator.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_FaceIterator.h" +#include "GW_Face.h" + +using namespace GW; + +GW_FaceIterator::GW_FaceIterator( GW_Face* pFace, GW_Vertex* pOrigin, GW_Vertex* pDirection, GW_U32 nNbrIncrement ) +: pFace_ ( pFace), + pOrigin_ ( pOrigin ), + pDirection_ ( pDirection ), + nNbrIncrement_ ( nNbrIncrement ) +{ } + +/* assignement */ +GW_FaceIterator& GW_FaceIterator::operator=( const GW_FaceIterator& it) +{ + this->pFace_ = it.pFace_; + this->pOrigin_ = it.pOrigin_; + this->pDirection_ = it.pDirection_; + this->nNbrIncrement_= it.nNbrIncrement_; + return *this; +} + +/* egality */ +GW_Bool GW_FaceIterator::operator==( const GW_FaceIterator& it) +{ + return (this->pFace_==it.pFace_) + && (this->pOrigin_==it.pOrigin_) + && (this->pDirection_==it.pDirection_); +} + +/* egality */ +GW_Bool GW_FaceIterator::operator!=( const GW_FaceIterator& it) +{ + return (this->pFace_!=it.pFace_) + || (this->pOrigin_!=it.pOrigin_) + || (this->pDirection_!=it.pDirection_); +} + + +/* dereference */ +GW_Face* GW_FaceIterator::operator*( ) +{ + return this->pFace_; +} + +/* progression : \todo take in acount NULL pointer */ +void GW_FaceIterator::operator++() +{ + if( nNbrIncrement_>100 ) + { + GW_ASSERT( GW_False ); + (*this) = GW_FaceIterator(NULL,NULL,NULL); + return; + } + + if( pFace_!=NULL && pDirection_!=NULL && pOrigin_!=NULL ) + { + GW_Face* pNextFace = pFace_->GetFaceNeighbor( *pDirection_ ); + /* check for end() */ + if( pNextFace==pOrigin_->GetFace() ) + { + (*this) = GW_FaceIterator(NULL,NULL,NULL); + } + else + { + if( pNextFace==NULL ) + { + /* we are on a border face : Rewind on the first face */ + GW_Face* pPrevFace = pFace_; + pDirection_ = pFace_->GetVertex( *pDirection_, *pOrigin_ ); // get rewind direction + GW_ASSERT( pDirection_!=NULL ); + + GW_U32 nIter = 0; + do + { + pFace_ = pPrevFace; + pPrevFace = pPrevFace->GetFaceNeighbor( *pDirection_ ); + pDirection_ = pFace_->GetVertex( *pOrigin_, *pDirection_ ); // next direction + nIter++; + GW_ASSERT( nIter<20 ); + if( nIter>=20 ) + { + // this is on non-manifold ... + (*this) = GW_FaceIterator(NULL,NULL,NULL); + return; + } + + } + while( pPrevFace!=NULL ); + + if( pFace_==pOrigin_->GetFace() ) + { + // we are on End. + (*this) = GW_FaceIterator(NULL,NULL,NULL); + } + else + { + GW_ASSERT( pDirection_!=NULL ); + (*this) = GW_FaceIterator( pFace_, pOrigin_, pDirection_, nNbrIncrement_+1 ); + } + return; + } + GW_Vertex* pNextDirection = pFace_->GetVertex( *pOrigin_, *pDirection_ ); + GW_ASSERT( pNextDirection!=NULL ); + (*this) = GW_FaceIterator( pNextFace, pOrigin_, pNextDirection, nNbrIncrement_+1 ); + } + } + else + { + (*this) = GW_FaceIterator(NULL,NULL,NULL); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_FaceIterator::GetLeftVertex +/** + * \return [GW_Vertex*] The vertex. + * \author Gabriel Peyré + * \date 5-6-2003 + * + * Get the vertex on the left. + */ +/*------------------------------------------------------------------------------*/ +GW_Vertex* GW_FaceIterator::GetLeftVertex() +{ + return pDirection_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_FaceIterator::GetRightVertex +/** +* \return [GW_Vertex*] The vertex. +* \author Gabriel Peyré +* \date 5-6-2003 +* +* Get the vertex on the right. +*/ +/*------------------------------------------------------------------------------*/ +GW_Vertex* GW_FaceIterator::GetRightVertex() +{ + if( pFace_==NULL ) + return NULL; + return pFace_->GetVertex( *pDirection_, *pOrigin_ ); +} + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_FaceIterator.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_FaceIterator.h.svn-base new file mode 100644 index 0000000..caf3700 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_FaceIterator.h.svn-base @@ -0,0 +1,76 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_FaceIterator.h + * \brief Definition of class \c GW_FaceIterator + * \author Gabriel Peyré + * \date 4-1-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_FACEITERATOR_H_ +#define _GW_FACEITERATOR_H_ + +#include "GW_Config.h" + + +namespace GW { + +class GW_Face; +class GW_Vertex; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_FaceIterator + * \brief Iterator on a group of face surounding a vertex. + * \author Gabriel Peyré + * \date 4-1-2003 + * + * Usefull iterator. + */ +/*------------------------------------------------------------------------------*/ + +class GW_FaceIterator +{ +public: + + GW_FaceIterator( GW_Face* pFace, GW_Vertex* pOrigin, GW_Vertex* pDirection, GW_U32 nNbrIncrement = 0 ); + + /* assignement */ + GW_FaceIterator& operator=( const GW_FaceIterator& it); + + /* evaluation */ + GW_Bool operator==( const GW_FaceIterator& it); + GW_Bool operator!=( const GW_FaceIterator& it); + + /* indirection */ + GW_Face* operator*( ); + + /* progression : \todo take in acount NULL pointer */ + void operator++(); + + GW_Vertex* GetLeftVertex(); + GW_Vertex* GetRightVertex(); + +private: + + GW_Face* pFace_; + GW_Vertex* pOrigin_; + GW_Vertex* pDirection_; + + /** just for debug purpose */ + GW_U32 nNbrIncrement_; +}; + +} // End namespace GW + + + +#endif // _GW_FACEITERATOR_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_MathsWrapper.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_MathsWrapper.h.svn-base new file mode 100644 index 0000000..73a873e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_MathsWrapper.h.svn-base @@ -0,0 +1,73 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_MathsWrapper.h + * \brief Definition of class \c GW_MathsWrapper + * \author Gabriel Peyré + * \date 6-8-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_MATHSWRAPPER_H_ +#define _GW_MATHSWRAPPER_H_ + +#include "GW_Config.h" +#include "../gw_maths/GW_Maths.h" // here +#include "../gw_maths/GW_Vector2D.h" +#include "../gw_maths/GW_Vector3D.h" +//#include "../gw_maths/GW_VectorND.h" +//#include "../gw_maths/GW_Matrix3x3.h" +//#include "../gw_maths/GW_MatrixNxP.h" +//#include "../gw_maths/GW_SparseMatrix.h" + +namespace GW { + + + +/*------------------------------------------------------------------------------*/ +/** \name a list of GW_Vector2D */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::list T_Vector2DList; +typedef T_Vector2DList::iterator IT_Vector2DList; +typedef T_Vector2DList::reverse_iterator RIT_Vector2DList; +typedef T_Vector2DList::const_iterator CIT_Vector2DList; +typedef T_Vector2DList::const_reverse_iterator CRIT_Vector2DList; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_Vector2D */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_Vector2DVector; +typedef T_Vector2DVector::iterator IT_Vector2DVector; +typedef T_Vector2DVector::reverse_iterator RIT_Vector2DVector; +typedef T_Vector2DVector::const_iterator CIT_Vector2DVector; +typedef T_Vector2DVector::const_reverse_iterator CRIT_Vector2DVector; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_Vector2D */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_Vector2DMap; +typedef T_Vector2DMap::iterator IT_Vector2DMap; +typedef T_Vector2DMap::reverse_iterator RIT_Vector2DMap; +typedef T_Vector2DMap::const_iterator CIT_Vector2DMap; +typedef T_Vector2DMap::const_reverse_iterator CRIT_Vector2DMap; +//@} + + + +} // End namespace GW + + + + +#endif // _GW_MATHSWRAPPER_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Mesh.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Mesh.cpp.svn-base new file mode 100644 index 0000000..5b141f9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Mesh.cpp.svn-base @@ -0,0 +1,947 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Mesh.cpp + * \brief Definition of class \c GW_Mesh + * \author Gabriel Peyré + * \date 2-15-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_Mesh.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_Mesh.h" +#include "GW_VertexIterator.h" + +#ifndef GW_USE_INLINE + #include "GW_Mesh.inl" +#endif + +using namespace GW; + +GW_Mesh* GW_Mesh::pStaticThis_ = NULL; + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::operator= +/** + * \param v [GW_Mesh&] Mesh. + * \return [GW_Mesh&] *this + * \author Gabriel Peyré + * \date 1-13-2004 + * + * Copy operator. + */ +/*------------------------------------------------------------------------------*/ +GW_Mesh& GW_Mesh::operator=(const GW_Mesh& Mesh) +{ + this->SetNbrVertex( Mesh.GetNbrVertex() ); + this->SetNbrFace( Mesh.GetNbrFace() ); + + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + if( this->GetVertex(i)==NULL ) + { + GW_Vertex& NewVert = this->CreateNewVertex(); + this->SetVertex(i, &NewVert); + } + GW_Vertex& NewVert = *this->GetVertex(i); + const GW_Vertex& OriginalVert = *Mesh.GetVertex(i); + NewVert = OriginalVert; + /* resolve face attachement */ + const GW_Face* pFace = OriginalVert.GetFace(); + if( pFace!=NULL ) + NewVert.SetFace( *this->GetFace( pFace->GetID() ) ); + } + for( GW_U32 i=0; iGetNbrFace(); ++i ) + { + if( this->GetFace(i)==NULL ) + { + GW_Face& NewFace = this->CreateNewFace(); + this->SetFace(i, &NewFace); + } + GW_Face& NewFace = *this->GetFace(i); + const GW_Face& OriginalFace = *Mesh.GetFace(i); + NewFace = OriginalFace; + /* resolve Vertex and neighbor */ + for( GW_U32 j=0; j<3; ++j ) + { + GW_U32 VertID = OriginalFace.GetVertex(j)->GetID(); + NewFace.SetVertex( *this->GetVertex(VertID), j ); + const GW_Face* pNeigh = OriginalFace.GetFaceNeighbor(j); + if( pNeigh==NULL ) + NewFace.SetFaceNeighbor(NULL, j); + else + NewFace.SetFaceNeighbor( this->GetFace( pNeigh->GetID() ), j); + } + } + + return *this; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::SetNbrFace +/** + * \param nNum [GW_U32] New number of faces. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Resize the mesh. + */ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::SetNbrFace( GW_U32 nNum ) +{ + GW_U32 nOldSize = this->GetNbrFace(); + if( nNumGetFace( i ) ); + FaceVector_.resize( nNum ); + } + if( nNum>nOldSize ) + { + FaceVector_.resize( nNum ); + /* set to NULL newly appended pointers */ + for( GW_U32 i=nOldSize; iSetFace( i, NULL ); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::SetNbrVertex +/** + * \param nNum [GW_U32] New number of vertex. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Resize the mesh. + */ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::SetNbrVertex( GW_U32 nNum ) +{ + GW_U32 nOldSize = this->GetNbrVertex(); + if( nNumGetVertex( i ) ); + VertexVector_.resize( nNum ); + } + if( nNum>nOldSize ) + { + VertexVector_.resize( nNum ); + /* set to NULL newly appended pointers */ + for( GW_U32 i=nOldSize; iSetVertex( i, NULL ); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetBoundingRadius +/** + * \return [GW_Float] Radius. + * \author Gabriel Peyré + * \date 4-1-2003 + * + * Get the maximum distance from (0,0,0) + */ +/*------------------------------------------------------------------------------*/ +GW_Float GW_Mesh::GetBoundingRadius() +{ + GW_Float rRadius = 0; + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + if( this->GetVertex(i)!=NULL ) + rRadius = GW_MAX(this->GetVertex(i)->GetPosition().SquareNorm(), rRadius); + } + + return (GW_Float) sqrt(rRadius); +} + + +void GW_Mesh::GetBoundingBox( GW_Vector3D& min, GW_Vector3D& max ) +{ + min.SetValue( GW_INFINITE ); + max.SetValue( -GW_INFINITE ); + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + if( this->GetVertex(i)!=NULL ) + { + GW_Vector3D& pos = this->GetVertex(i)->GetPosition(); + min[0] = GW_MIN( min[0], pos[0] ); + min[1] = GW_MIN( min[1], pos[1] ); + min[2] = GW_MIN( min[2], pos[2] ); + max[0] = GW_MAX( max[0], pos[0] ); + max[1] = GW_MAX( max[1], pos[1] ); + max[2] = GW_MAX( max[2], pos[2] ); + } + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetBarycenter +/** +* \return [GW_Vector3D] The iso-barycenter of the mesh. +* \author Gabriel Peyré +* \date 4-1-2003 +* +* Get the maximum distance from (0,0,0). +*/ +/*------------------------------------------------------------------------------*/ +GW_Vector3D GW_Mesh::GetBarycenter() +{ + GW_Vector3D Barycenter; + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + if( this->GetVertex(i)!=NULL ) + Barycenter += this->GetVertex(i)->GetPosition(); + } + + if( this->GetNbrVertex()>0 ) + Barycenter /= (GW_Float) this->GetNbrVertex(); + return Barycenter; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::ScaleVertex +/** + * \param rScale [GW_Float] Scaling factor + * \author Gabriel Peyré + * \date 4-1-2003 + * + * Scale each vertex. + */ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::ScaleVertex( GW_Float rScale ) +{ + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + if( this->GetVertex(i)!=NULL ) + this->GetVertex(i)->GetPosition() *= rScale; + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::TranslateVertex +/** +* \param Vect [GW_Float] Translation vector. +* \author Gabriel Peyré +* \date 4-1-2003 +* +* Scale each vertex. +*/ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::TranslateVertex( const GW_Vector3D& Vect ) +{ + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + if( this->GetVertex(i)!=NULL ) + this->GetVertex(i)->GetPosition() += Vect; + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::BuildNormal +/** + * \author Gabriel Peyré + * \date 4-1-2003 + * + * Compute vertex normals form faces. + */ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::BuildRawNormal() +{ + for( IT_VertexVector it=VertexVector_.begin(); it!=VertexVector_.end(); ++it ) + { + GW_Vertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + pVert->BuildRawNormal(); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::BuildCurvatureData +/** + * \author Gabriel Peyré + * \date 4-2-2003 + * + * Compute all curvature data using comlex schemes. This includes + * normal, curvatures and curvature directions. + */ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::BuildCurvatureData() +{ + for( IT_VertexVector it=VertexVector_.begin(); it!=VertexVector_.end(); ++it ) + { + GW_Vertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + pVert->BuildCurvatureData(); + } + + GW_Float rArea = this->GetArea(); + GW_Float rTotalArea = GW_Vertex::rTotalArea_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::BuildConnectivity +/** +* \author Gabriel Peyré +* \date 3-28-2003 +* +* Call this method when you have set the vertex and the face. +* This will set up the neighboorhood for each face. +*/ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::BuildConnectivity() +{ + T_FaceList* VertexToFaceMap = new T_FaceList[this->GetNbrVertex()]; + + /* build the inverse map vertex->face */ + for( IT_FaceVector it = FaceVector_.begin(); it!=FaceVector_.end(); ++it ) + { + GW_Face* pFace = *it; + GW_ASSERT( pFace!=NULL ); + for( GW_U32 i=0; i<3; ++i ) + { + GW_Vertex* pVert = pFace->GetVertex(i); + GW_ASSERT(pVert!=NULL); + GW_ASSERT( pVert->GetID() <= this->GetNbrVertex() ); + VertexToFaceMap[pVert->GetID()].push_back( pFace ); + } + } + /* now we can set up connectivity */ + for( IT_FaceVector it=FaceVector_.begin(); it!=FaceVector_.end(); ++it ) + { + GW_Face* pFace = *it; + GW_ASSERT( pFace!=NULL ); + + /* set up the neigbooring faces of the 3 vertices */ + T_FaceList* pFaceLists[3]; + for( GW_U32 i=0; i<3; ++i ) + { + GW_Vertex* pVert = pFace->GetVertex(i); + pFaceLists[i] = &VertexToFaceMap[pVert->GetID()]; + } + + /* compute neighbor in the 3 directions */ + for( GW_U32 i=0; i<3; ++i ) + { + GW_Face* pNeighbor = NULL; + GW_U32 i1 = (i+1)%3; + GW_U32 i2 = (i+2)%3; + /* we must find the intersection of the surrounding faces of these 2 vertex */ + GW_Bool bFind = GW_False; + for( IT_FaceList it1 = pFaceLists[i1]->begin(); it1!=pFaceLists[i1]->end() && bFind!=GW_True; ++it1 ) + { + GW_Face* pFace1 = *it1; + for( IT_FaceList it2 = pFaceLists[i2]->begin(); it2!=pFaceLists[i2]->end() && bFind!=GW_True; ++it2 ) + { + GW_Face* pFace2 = *it2; + if( pFace1==pFace2 && pFace1!=pFace ) + { + pNeighbor = pFace1; + bFind=GW_True; + } + } + } + // GW_ASSERT( pNeighbor!=NULL ); + /* assign the face */ +/* if( pFace->GetFaceNeighbor(i)!=NULL ) + GW_ASSERT( pFace->GetFaceNeighbor(i)==pNeighbor ); */ + pFace->SetFaceNeighbor( pNeighbor, i ); + /* make some test on the neighbor to assure symetry + in the connectivity relationship */ + if( pNeighbor!=NULL ) + { + GW_I32 nEdgeNumber = pNeighbor->GetEdgeNumber( *pFace->GetVertex(i1),*pFace->GetVertex(i2) ); + GW_ASSERT( nEdgeNumber>=0 ); +#if 0 + if( pNeighbor->GetFaceNeighbor( nEdgeNumber )!=NULL ) + GW_ASSERT(pNeighbor->GetFaceNeighbor(nEdgeNumber)==pFace); +#endif + pNeighbor->SetFaceNeighbor( pFace, nEdgeNumber ); + } + } + } + + GW_DELETEARRAY( VertexToFaceMap ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetArea +/** + * \return [GW_Float] Total area. + * \author Gabriel Peyré + * \date 4-6-2003 + * + * Compute the total area of the triangulated mesh. + */ +/*------------------------------------------------------------------------------*/ +GW_Float GW_Mesh::GetArea() +{ + GW_Float rArea = 0; + + for( IT_FaceVector it=FaceVector_.begin(); it!=FaceVector_.end(); ++it) + { + GW_Face* pFace = *it; + GW_ASSERT( pFace!=NULL ); + GW_Vertex* v0 = pFace->GetVertex(0); + GW_Vertex* v1 = pFace->GetVertex(1); + GW_Vertex* v2 = pFace->GetVertex(2); + if( v0!=NULL && v1!=NULL && v2!=NULL ) + { + GW_Vector3D e1 = v1->GetPosition() - v0->GetPosition(); + GW_Vector3D e2 = v2->GetPosition() - v0->GetPosition(); + rArea += ~(e1 ^ e2); + } + } + + return (GW_Float) 0.5*rArea; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetRandomVertex +/** + * \return [GW_Vertex*] The vertex. NULL if it was impossible. + * \author Gabriel Peyré + * \date 4-14-2003 + * + * Get Return a vertex at random. + */ +/*------------------------------------------------------------------------------*/ +GW_Vertex* GW_Mesh::GetRandomVertex() +{ + GW_U32 nNumber = 0; + GW_Vertex* pStartVertex = NULL; + while( pStartVertex==NULL ) + { + if( nNumber>=this->GetNbrVertex()/10 ) + return NULL; + GW_U32 nNumVert = (GW_U32) floor(GW_RAND*this->GetNbrVertex()); + pStartVertex = this->GetVertex( nNumVert ); + if( pStartVertex->GetFace()==NULL ) + pStartVertex = NULL; + nNumber++; + } + return pStartVertex; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::InsertVertexInFace +/** + * \param Face [GW_Face&] The face. + * \param x [GW_Float] x barycentric coordinate. + * \param y [GW_Float] y barycentric coordinate. + * \param z [GW_Float] z barycentric coordinate. + * \return The newly created point. + * \author Gabriel Peyré + * \date 4-15-2003 + * + * Insert a vertex in a face. + */ +/*------------------------------------------------------------------------------*/ +GW_Vertex* GW_Mesh::InsertVertexInFace( GW_Face& Face, GW_Float x, GW_Float y, GW_Float z ) +{ + GW_Vertex* pVert0 = Face.GetVertex(0); + GW_Vertex* pVert1 = Face.GetVertex(1); + GW_Vertex* pVert2 = Face.GetVertex(2); + GW_ASSERT( pVert0!=NULL ); + GW_ASSERT( pVert1!=NULL ); + GW_ASSERT( pVert2!=NULL ); + /* create two new-faces */ + GW_Face* pFace1 = &this->CreateNewFace(); + GW_Face* pFace2 = &this->CreateNewFace(); + this->SetNbrFace( this->GetNbrFace()+2 ); + this->SetFace( this->GetNbrFace()-2, pFace1 ); + this->SetFace( this->GetNbrFace()-1, pFace2 ); + /* create one new vertex */ + GW_Vertex* pNewVert = &this->CreateNewVertex(); + GW_Vector3D pos = pVert0->GetPosition()*x + pVert1->GetPosition()*y + pVert2->GetPosition()*z; + pNewVert->SetPosition( pos ); + pNewVert->BuildRawNormal(); + this->SetNbrVertex( this->GetNbrVertex()+1 ); + this->SetVertex( this->GetNbrVertex()-1, pNewVert ); + /* assign vertex to faces */ + pFace1->SetVertex( *pVert0, *pVert1, *pNewVert ); + pFace2->SetVertex( *pNewVert, *pVert1, *pVert2 ); + Face.SetVertex( *pVert0, *pNewVert, *pVert2 ); + /* assign dependance vertex->mother face */ + pNewVert->SetFace( Face ); + pVert0->SetFace( Face ); + pVert1->SetFace( *pFace1 ); + pVert2->SetFace( Face ); + /* outer faces */ + if( Face.GetFaceNeighbor(2)!=NULL ) + { + GW_I32 nEdgeNumber = Face.GetFaceNeighbor(2)->GetEdgeNumber( Face ); + GW_ASSERT( nEdgeNumber>=0 ); + Face.GetFaceNeighbor(2)->SetFaceNeighbor( pFace1, nEdgeNumber ); + } + if( Face.GetFaceNeighbor(0)!=NULL ) + { + GW_I32 nEdgeNumber = Face.GetFaceNeighbor(0)->GetEdgeNumber( Face ); + GW_ASSERT( nEdgeNumber>=0 ); + Face.GetFaceNeighbor(0)->SetFaceNeighbor( pFace2, nEdgeNumber ); + } + /* build connectivity of inner faces */ + pFace1->SetFaceNeighbor( pFace2, &Face, Face.GetFaceNeighbor(2) ); + pFace2->SetFaceNeighbor( Face.GetFaceNeighbor(0), &Face, pFace1 ); + GW_Face* pTempFace = Face.GetFaceNeighbor(1); + Face.SetFaceNeighbor( pFace2, pTempFace, pFace1 ); + + return pNewVert; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::InsertVertexInEdge +/** + * \param Vert1 [GW_Vertex&] 1st vertex. + * \param Vert2 [GW_Vertex&] 2nd vertex. + * \param x [GW_Float] Barycentric coords in [0,1]. + * \return [GW_Vertex&] The vertex. This is a newly created one only if 0<1-GW_EPSILON ) + { + bIsNewVertCreated = GW_False; + return &Vert1; + } + bIsNewVertCreated = GW_True; + /* create the new vertex */ + GW_Vertex* pNewVert = &this->CreateNewVertex(); + this->SetNbrVertex( this->GetNbrVertex()+1 ); + this->SetVertex( this->GetNbrVertex()-1, pNewVert ); + /* set position */ + pNewVert->SetPosition( Vert1.GetPosition()*x + Vert2.GetPosition()*(1-x) ); + /* retrieve the neigbor faces face */ + GW_Face* pFace1 = NULL; + GW_Face* pFace2 = NULL; + Vert1.GetFaces( Vert2, pFace1, pFace2 ); + GW_ASSERT( pFace1!=NULL || pFace2!=NULL ); + /* assign the face of new vertex */ + if( pFace1!=NULL ) + pNewVert->SetFace( *pFace1 ); + else if( pFace2!=NULL ) + pNewVert->SetFace( *pFace2 ); + GW_I32 nVert1Num1, nVert1Num2, nVert1Num3, nVert2Num1, nVert2Num2, nVert2Num3; + GW_Face* pNewFace1 = NULL; + GW_Face* pNewFace2 = NULL; + if( pFace1!=NULL ) + { + nVert1Num1 = pFace1->GetEdgeNumber( Vert1 ); + GW_ASSERT( nVert1Num1>=0 ); + nVert1Num2 = pFace1->GetEdgeNumber( Vert2 ); + GW_ASSERT( nVert1Num2>=0 ); + nVert1Num3 = 3-nVert1Num2-nVert1Num1; + pNewFace1 = &this->CreateNewFace(); + this->SetNbrFace( this->GetNbrFace()+1 ); + this->SetFace( this->GetNbrFace()-1, pNewFace1 ); + pNewFace1->SetVertex( *pFace1->GetVertex(nVert1Num3), nVert1Num3 ); + pNewFace1->SetVertex( Vert2, nVert1Num2 ); + pNewFace1->SetVertex( *pNewVert, nVert1Num1 ); + /* connectivity between Face1 and new face */ + GW_Face* pFaceNeighbor = pFace1->GetFaceNeighbor(nVert1Num1); + pNewFace1->SetFaceNeighbor( pFaceNeighbor, nVert1Num1 ); + pNewFace1->SetFaceNeighbor( pFace1, nVert1Num2 ); + if( pFaceNeighbor!=NULL ) + { + GW_I32 nNum = pFaceNeighbor->GetEdgeNumber( Vert2, *pFace1->GetVertex(nVert1Num3) ); + GW_ASSERT( nNum>=0 ); + pFaceNeighbor->SetFaceNeighbor( pNewFace1, nNum ); + } + /* connectivity for face 1 */ + pFace1->SetFaceNeighbor( pNewFace1, nVert1Num1 ); + pFace1->SetVertex( *pNewVert, nVert1Num2 ); + /* reassign vertex 2 */ + Vert2.SetFace( *pNewFace1 ); + } + if( pFace2!=NULL ) + { + nVert2Num1 = pFace2->GetEdgeNumber( Vert1 ); + GW_ASSERT( nVert2Num1>=0 ); + nVert2Num2 = pFace2->GetEdgeNumber( Vert2 ); + GW_ASSERT( nVert2Num2>=0 ); + nVert2Num3 = 3-nVert2Num2-nVert2Num1; + pNewFace2 = &this->CreateNewFace(); + this->SetNbrFace( this->GetNbrFace()+1 ); + this->SetFace( this->GetNbrFace()-1, pNewFace2 ); + pNewFace2->SetVertex( *pFace2->GetVertex(nVert2Num3), nVert2Num3 ); + pNewFace2->SetVertex( Vert2, nVert2Num2 ); + pNewFace2->SetVertex( *pNewVert, nVert2Num1 ); + /* connectivity between Face2 and new face */ + GW_Face* pFaceNeighbor = pFace2->GetFaceNeighbor(nVert2Num1); + pNewFace2->SetFaceNeighbor( pFaceNeighbor, nVert2Num1 ); + pNewFace2->SetFaceNeighbor( pFace2, nVert2Num2 ); + if( pFaceNeighbor!=NULL ) + { + GW_I32 nNum = pFaceNeighbor->GetEdgeNumber( Vert2, *pFace2->GetVertex(nVert2Num3) ); + GW_ASSERT( nNum>=0 ); + pFaceNeighbor->SetFaceNeighbor( pNewFace2, nNum ); + } + /* connectivity for face 1 */ + pFace2->SetFaceNeighbor( pNewFace2, nVert2Num1 ); + pFace2->SetVertex( *pNewVert, nVert2Num2 ); + /* reassign vertex 2 */ + Vert2.SetFace( *pNewFace2 ); + } + /* set inter connectivity */ + if( pNewFace1!=NULL ) + pNewFace1->SetFaceNeighbor( pNewFace2, nVert1Num3 ); + if( pNewFace2!=NULL ) + pNewFace2->SetFaceNeighbor( pNewFace1, nVert2Num3 ); + + /* last thing : compute normal */ + pNewVert->BuildRawNormal(); + + return pNewVert; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::IterateConnectedComponent_Vertex +/** +* \param pCallback [VertexIterate_Callback] The function. +* \author Gabriel Peyré +* \date 7-2-2003 +* +* Iterate a callback on each vertex of a connected component. +*/ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::IterateConnectedComponent_Vertex( GW_Vertex& start_vert, VertexIterate_Callback pCallback ) +{ + /* march on the voronoi diagram */ + T_VertexList VertexToProceed; + VertexToProceed.push_back( &start_vert ); + T_VertexMap VertexDone; + VertexDone[ start_vert.GetID() ] = &start_vert; + + + while( !VertexToProceed.empty() ) + { + GW_Vertex* pVert = VertexToProceed.front(); + GW_ASSERT( pVert!=NULL ); + VertexToProceed.pop_front(); + + /* cut the face */ + pCallback( *pVert ); + + /* add neighbors */ + for( GW_VertexIterator it = pVert->BeginVertexIterator(); it!=pVert->EndVertexIterator(); ++it ) + { + GW_Vertex* pNewVert = (GW_Vertex*) *it; + if( pNewVert==NULL ) + break; + GW_ASSERT( pNewVert!=NULL ); + if( VertexDone.find(pNewVert->GetID())==VertexDone.end() ) + { + VertexToProceed.push_back( pNewVert ); + VertexDone[ pNewVert->GetID() ] = pNewVert; // so that it won't be added anymore + } + } + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::IterateConnectedComponent_Face +/** +* \param pCallback [VertexIterate_Callback] The function. +* \author Gabriel Peyré +* \date 7-2-2003 +* +* Iterate a callback on each vertex of a connected component. +*/ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::IterateConnectedComponent_Face( GW_Face& start_face, FaceIterate_Callback pCallback ) +{ + /* march on the voronoi diagram */ + T_FaceList FaceToProceed; + FaceToProceed.push_back( &start_face ); + T_FaceMap FaceDone; + FaceDone[ start_face.GetID() ] = &start_face; + + + while( !FaceToProceed.empty() ) + { + GW_Face* pFace = FaceToProceed.front(); + GW_ASSERT( pFace!=NULL ); + FaceToProceed.pop_front(); + + /* cut the face */ + pCallback( *pFace ); + + /* add neighbors */ + for( GW_U32 i=0; i<3; ++i ) + { + GW_Face* pNewFace = pFace->GetFaceNeighbor(i); + if( pNewFace!=NULL && FaceDone.find(pNewFace->GetID())==FaceDone.end() ) + { + FaceToProceed.push_back( pNewFace ); + FaceDone[ pNewFace->GetID() ] = pNewFace; // so that it won't be added anymore + } + } + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::ReOrientMesh +/** + * \param start_face [GW_Face&] The seed face. + * \author Gabriel Peyré + * \date 7-6-2003 + * + * Reorient the mesh using this start vertex. + */ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::ReOrientMesh( GW_Face& start_face ) +{ + /* march on the voronoi diagram */ + T_FaceList FaceToProceed; + FaceToProceed.push_back( &start_face ); + T_FaceMap FaceDone; + FaceDone[ start_face.GetID() ] = &start_face; + + + while( !FaceToProceed.empty() ) + { + GW_Face* pFace = FaceToProceed.front(); + GW_ASSERT( pFace!=NULL ); + FaceToProceed.pop_front(); + + /* add neighbors */ + for( GW_U32 i=0; i<3; ++i ) + { + GW_Vertex* pVertDir = pFace->GetVertex(i); GW_ASSERT( pVertDir!=NULL ); + GW_Face* pNewFace = pFace->GetFaceNeighbor(*pVertDir); + if( pNewFace!=NULL && FaceDone.find(pNewFace->GetID())==FaceDone.end() ) + { + /* find the two other vertices */ + GW_U32 i1 = (i+1)%3; + GW_U32 i2 = (i+2)%3; + GW_Vertex* pNewVert[3]; + pNewVert[0] = pFace->GetVertex(i2); GW_ASSERT( pNewVert[0]!=NULL ); + pNewVert[1] = pFace->GetVertex(i1); GW_ASSERT( pNewVert[1]!=NULL ); + pNewVert[2] = pNewFace->GetVertex(*pNewVert[0], *pNewVert[1]); GW_ASSERT( pNewVert[2]!=NULL ); + GW_Face* pNeigh[3]; + pNeigh[0] = pNewFace->GetFaceNeighbor( *pNewVert[0] ); + pNeigh[1] = pNewFace->GetFaceNeighbor( *pNewVert[1] ); + pNeigh[2] = pNewFace->GetFaceNeighbor( *pNewVert[2] ); + /* reorient the face */ + pNewFace->SetVertex( *pNewVert[0], *pNewVert[1], *pNewVert[2] ); + pNewFace->SetFaceNeighbor( pNeigh[0], pNeigh[1], pNeigh[2] ); + FaceToProceed.push_back( pNewFace ); + FaceDone[ pNewFace->GetID() ] = pNewFace; // so that it won't be added anymore + } + } + } + + /* check for global orientation (just an heuristic) */ + GW_Face* pFace = this->GetFace(0); GW_ASSERT( pFace!=NULL ); + GW_Vector3D v = pFace->GetVertex(0)->GetPosition() + + pFace->GetVertex(1)->GetPosition() + + pFace->GetVertex(2)->GetPosition(); + GW_Vector3D n = pFace->ComputeNormal(); + if( n*v<0 ) + this->FlipOrientation(); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::FlipOrientation +/** + * \author Gabriel Peyré + * \date 7-6-2003 + * + * Flip each face. + */ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::FlipOrientation() +{ + for( GW_U32 i=0; iGetNbrFace(); ++i ) + { + GW_Face* pFace = this->GetFace(i); GW_ASSERT( pFace!=NULL ); + pFace->SetVertex( *pFace->GetVertex(1), *pFace->GetVertex(0), *pFace->GetVertex(2) ); + pFace->SetFaceNeighbor( pFace->GetFaceNeighbor(1), pFace->GetFaceNeighbor(0), pFace->GetFaceNeighbor(2) ); + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::ReOrientNormals +/** + * \author Gabriel Peyré + * \date 7-6-2003 + * + * Align normals so that they are in the same direction with face + * normals. + */ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::ReOrientNormals() +{ + for( GW_U32 i=0; iGetNbrFace(); ++i ) + { + GW_Face* pFace = this->GetFace(i); GW_ASSERT( pFace!=NULL ); + GW_Vector3D n = pFace->ComputeNormal(); + for( GW_U32 k=0; k<3; ++k ) + { + GW_Vector3D& nv = pFace->GetVertex(k)->GetNormal(); + if( nv*n < 0 ) + nv = -nv; + } + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::FlipNormals +/** + * \author Gabriel Peyré + * \date 7-6-2003 + * + * Flip each normal of the mesh. + */ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::FlipNormals() +{ + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + GW_Vertex* pVert = this->GetVertex(i); GW_ASSERT( pVert!=NULL ); + GW_Vector3D& n = pVert->GetNormal(); + n = -n; + } +} + + +void GW_Mesh::CheckIntegrity() +{ + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + GW_Vertex* pVert = this->GetVertex(i); GW_ASSERT( pVert!=NULL ); + GW_Face* pFace = pVert->GetFace(); GW_ASSERT( pFace!=NULL ); + if( pFace!=NULL && pFace->GetVertex(0)!=pVert && + pFace->GetVertex(1)!=pVert && + pFace->GetVertex(2)!=pVert ) + GW_ASSERT( GW_False ); + } + for( GW_U32 i=0; iGetNbrFace(); ++i ) + { + GW_Face* pFace = this->GetFace(i); GW_ASSERT( pFace!=NULL ); + for( GW_U32 k=0; k<3; ++k ) + { + GW_U32 k1 = (k+1)%3; + GW_U32 k2 = (k+2)%3; + GW_Face* pNeighFace = pFace->GetFaceNeighbor(k); + GW_Vertex* pV1 = pFace->GetVertex(k1); GW_ASSERT( pV1!=NULL ); + GW_Vertex* pV2 = pFace->GetVertex(k2); GW_ASSERT( pV2!=NULL ); + if( pNeighFace!=NULL ) + { + GW_ASSERT( pNeighFace->GetFaceNeighbor(*pV1, *pV2)==pFace ); + GW_ASSERT( pFace->GetFaceNeighbor(*pV1, *pV2)==pNeighFace); + } + } + } +} + +void GW_Mesh::ExtractBoundary( GW_Vertex& seed, T_VertexList& boundary, T_VertexMap* pExtracted ) +{ + GW_ASSERT( seed.IsBoundaryVertex() ); + GW_Vertex* pPrev = NULL; + GW_Vertex* pCur = &seed; + GW_Vertex* pNext = NULL; + GW_U32 num = 0; + do + { + num++; + boundary.push_back(pCur); + if( pExtracted!=NULL ) + (*pExtracted)[ pCur->GetID() ] = pCur; + pNext = NULL; + for( GW_VertexIterator it = pCur->BeginVertexIterator(); + (it!=pCur->EndVertexIterator()) && (pNext==NULL); ++it ) + { + GW_Vertex* pVert = *it; + if( pVert->IsBoundaryVertex() && pVert!=pPrev ) + pNext = pVert; + } + GW_ASSERT( pNext!=NULL ); + pPrev = pCur; + pCur = pNext; + } + while( pCur!=&seed && pNext!=NULL && numGetNbrVertex() ); +} + + +void GW_Mesh::ExtractAllBoundaries( std::list& boundary_list ) +{ + T_VertexMap AlreadyExtracted; + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + GW_Vertex* pVert = this->GetVertex(i); GW_ASSERT( pVert!=NULL ); + if( pVert->IsBoundaryVertex() && AlreadyExtracted.find(i)==AlreadyExtracted.end() ) + { + T_VertexList boundary; + this->ExtractBoundary( *pVert, boundary, &AlreadyExtracted ); + boundary_list.push_back( boundary ); + } + } +} + +GW_Float GW_Mesh::GetPerimeter( GW_U32* nNbrBoundaries ) +{ + GW_Float rPerimeter = 0; + std::list boundary_list; + this->ExtractAllBoundaries( boundary_list ); + if( nNbrBoundaries!=NULL ) + *nNbrBoundaries = (GW_U32) boundary_list.size(); + for( std::list::iterator it = boundary_list.begin(); it!=boundary_list.end(); ++it ) + { + T_VertexList& boundary = *it; + rPerimeter += GW_Mesh::GetPerimeter( boundary ); + } + + return rPerimeter; +} + +GW_Float GW_Mesh::GetPerimeter( T_VertexList& boundary, GW_Bool bCyclic ) +{ + GW_Float rPerimeter = 0; + GW_Vertex* pPrev = NULL; + GW_Vertex* pVert = NULL; + for( IT_VertexList it = boundary.begin(); it!=boundary.end(); ++it ) + { + pVert = *it; + if( pPrev!=NULL ) + { + rPerimeter += (pPrev->GetPosition()-pVert->GetPosition()).Norm(); + } + pPrev = pVert; + } + if( boundary.size()>1 && bCyclic ) + { + rPerimeter += (boundary.front()->GetPosition()-pVert->GetPosition()).Norm(); + } + return rPerimeter; +} + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Mesh.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Mesh.h.svn-base new file mode 100644 index 0000000..67598c1 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Mesh.h.svn-base @@ -0,0 +1,174 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Mesh.h + * \brief Definition of class \c GW_Mesh + * \author Gabriel Peyré + * \date 2-15-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_MESH_H_ +#define _GW_MESH_H_ + +#include "GW_Config.h" +#include "GW_Face.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_Mesh + * \brief A basic mesh, composed of vertex and faces. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * This class does not provide any advanded feature. You must build + * vertex, faces, and connectivity by your own. Remember : + * - That any vertex must have a pointer on one of the face it belongs to. + * - You must set up the 3 neighbor faces of each face of the mesh + * (this encodes connectivity). + * + * This class use smart pointer management. So it delete any pointer once it no + * more used. + * + * The size of the mesh must be *explicitly* managed. You can not add + * a face number \c n if the mesh has not been resized to contain \c n faces. + */ +/*------------------------------------------------------------------------------*/ + +class GW_Mesh +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_Mesh(); + virtual ~GW_Mesh(); + virtual GW_Mesh& operator=(const GW_Mesh& v); + //@} + + //------------------------------------------------------------------------- + /** \name Resize manager. */ + //------------------------------------------------------------------------- + //@{ + void SetNbrFace( GW_U32 nNum ); + void SetNbrVertex( GW_U32 nNum ); + + GW_U32 GetNbrVertex() const; + GW_U32 GetNbrFace() const; + + void Reset(); + //@} + + //------------------------------------------------------------------------- + /** \name Vertex/Face management */ + //------------------------------------------------------------------------- + //@{ + void AddFace( GW_Face& pFace ); + void SetFace( GW_U32 nNum, GW_Face* pFace ); + void SetVertex( GW_U32 nNum, GW_Vertex* pVert ); + + GW_Face* GetFace( GW_U32 nNum ); + GW_Face* GetFace( GW_Vertex& Vert1, GW_Vertex& Vert2, GW_Vertex& Vert3 ); + GW_Vertex* GetVertex( GW_U32 nNum ); + const GW_Face* GetFace( GW_U32 nNum ) const; + const GW_Vertex* GetVertex( GW_U32 nNum ) const; + //@} + + GW_Float GetBoundingRadius(); + void GetBoundingBox( GW_Vector3D& min, GW_Vector3D& max ); + GW_Vector3D GetBarycenter(); + void ScaleVertex( GW_Float rScale ); + void TranslateVertex( const GW_Vector3D& Vect ); + + void BuildConnectivity(); + void BuildRawNormal(); + void BuildCurvatureData(); + + GW_Float GetArea(); + + //------------------------------------------------------------------------- + /** \name Boundary helpers */ + //------------------------------------------------------------------------- + //@{ + void ExtractBoundary( GW_Vertex& seed, T_VertexList& boundary, T_VertexMap* pExtracted = NULL ); + void ExtractAllBoundaries( std::list& boundary_list ); + GW_Float GetPerimeter( GW_U32* nNbrBoundaries = NULL ); + static GW_Float GetPerimeter( T_VertexList& boundary, GW_Bool bCyclic = GW_True ); + //@} + + + void SetStaticThis(); + void UnSetStaticThis(); + static GW_Mesh& StaticThis(); + + virtual GW_Vertex* GetRandomVertex(); + + GW_Vertex* InsertVertexInFace( GW_Face& Face, GW_Float x, GW_Float y, GW_Float z ); + GW_Vertex* InsertVertexInEdge( GW_Vertex& Vert1, GW_Vertex& Vert2, GW_Float x, GW_Bool& bIsNewVertCreated ); + + void ReOrientMesh( GW_Face& seed ); + void ReOrientNormals(); + void FlipNormals(); + void FlipOrientation(); + + //------------------------------------------------------------------------- + /** \name Class factory methods. */ + //------------------------------------------------------------------------- + //@{ + virtual GW_Vertex& CreateNewVertex(); + virtual GW_Face& CreateNewFace(); + //@} + + typedef void (*VertexIterate_Callback)( GW_Vertex& vert ); + static void IterateConnectedComponent_Vertex( GW_Vertex& start_vert, VertexIterate_Callback pCallback ); + typedef void (*FaceIterate_Callback)( GW_Face& face ); + static void IterateConnectedComponent_Face( GW_Face& start_face, FaceIterate_Callback pCallback ); + + + /* helper*/ + void CheckIntegrity(); + +protected: + + /** contains all faces of the mesh */ + T_VertexVector VertexVector_; + /** contains all vertex of the mesh */ + T_FaceVector FaceVector_; + + /** for global access during serialization */ + static GW_Mesh* pStaticThis_; + +}; + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_Mesh */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_MeshVector; +typedef T_MeshVector::iterator IT_MeshVector; +typedef T_MeshVector::reverse_iterator RIT_MeshVector; +typedef T_MeshVector::const_iterator CIT_MeshVector; +typedef T_MeshVector::const_reverse_iterator CRIT_MeshVector; +//@} + + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_Mesh.inl" +#endif + + +#endif // _GW_MESH_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Mesh.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Mesh.inl.svn-base new file mode 100644 index 0000000..1ae562f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Mesh.inl.svn-base @@ -0,0 +1,356 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Mesh.inl + * \brief Inlined methods for \c GW_Mesh + * \author Gabriel Peyré + * \date 2-15-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_Mesh.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh constructor +/** + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Mesh::GW_Mesh() +{ + VertexVector_.resize(0); + FaceVector_.resize(0); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh destructor +/** + * \author Gabriel Peyré + * \date 2-15-2003 + * + * destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Mesh::~GW_Mesh() +{ + for( GW_U32 i=0; iGetNbrVertex(); i++ ) + GW_SmartCounter::CheckAndDelete( this->GetVertex(i) ); + for( GW_U32 i=0; iGetNbrFace(); i++ ) + GW_SmartCounter::CheckAndDelete( this->GetFace(i) ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetNbrVertex +/** + * \return [GW_U32] The number + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get the number of vertex *allocated* in the mesh. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_U32 GW_Mesh::GetNbrVertex() const +{ + return (GW_U32) VertexVector_.size(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetNbrFace +/** + * \return [GW_U32] the number. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get the number of vertex *allocated* in the mesh. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_U32 GW_Mesh::GetNbrFace() const +{ + return (GW_U32) FaceVector_.size(); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::SetFace +/** + * \param nNum [GW_U32] The number of the new face. + * \param pFace [GW_Face*] The new face. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Set one of the face. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Mesh::SetFace( GW_U32 nNum, GW_Face* pFace ) +{ + GW_ASSERT( nNumGetNbrFace() ); + if( this->GetFace(nNum)!=NULL ) + GW_SmartCounter::CheckAndDelete( this->GetFace(nNum) ); + FaceVector_[nNum] = pFace; + if( pFace!=NULL ) + { + pFace->UseIt(); + pFace->SetID(nNum); + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::AddFace +/** + * \param Face [GW_Face&] The new face. + * \author Gabriel Peyré + * \date 5-16-2003 + * + * Add a new face at the end of the list. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Mesh::AddFace( GW_Face& Face ) +{ + this->SetNbrFace( this->GetNbrFace()+1 ); + this->SetFace( this->GetNbrFace()-1, &Face ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::SetVertex +/** + * \param nNum [GW_U32] The number of the vertex. + * \param pVert [GW_Vertex*] The vertex. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Set one of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Mesh::SetVertex( GW_U32 nNum, GW_Vertex* pVert ) +{ + GW_ASSERT( nNumGetNbrVertex() ); + if( this->GetVertex(nNum)!=NULL ) + GW_SmartCounter::CheckAndDelete( this->GetVertex(nNum) ); + VertexVector_[nNum] = pVert; + if( pVert!=NULL ) + { + pVert->UseIt(); + pVert->SetID(nNum); + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetFace +/** + * \param nNum [GW_U32] The number + * \return [GW_Face*] The face. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get one of the faces. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Face* GW_Mesh::GetFace( GW_U32 nNum ) +{ + GW_ASSERT( nNumGetNbrFace() ); + return FaceVector_[nNum]; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetFace +/** + * \param Vert1 [GW_Vertex&] 1st vert + * \param Vert2 [GW_Vertex&] 2nd vert + * \param Vert3 [GW_Vertex&] 3rd vert + * \return [GW_Face*] The face + * \author Gabriel Peyré + * \date 1-19-2004 + * + * Get a face from it's 3 vertices. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Face* GW_Mesh::GetFace( GW_Vertex& Vert1, GW_Vertex& Vert2, GW_Vertex& Vert3 ) +{ + GW_Face* pFace1, *pFace2; + Vert1.GetFaces(Vert2, pFace1, pFace2); + if( pFace1!=NULL && pFace1->GetNextVertex(Vert3)!=NULL ) + return pFace1; + if( pFace2!=NULL && pFace2->GetNextVertex(Vert3)!=NULL ) + return pFace2; + return NULL; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetVertex +/** + * \param nNum [GW_U32] The number. + * \return [GW_Vertex*] The vertex. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get one of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vertex* GW_Mesh::GetVertex( GW_U32 nNum ) +{ + GW_ASSERT( nNumGetNbrVertex() ); + return VertexVector_[nNum]; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetFace +/** +* \param nNum [GW_U32] The number +* \return [GW_Face*] The face. +* \author Gabriel Peyré +* \date 2-15-2003 +* +* Get one of the faces. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +const GW_Face* GW_Mesh::GetFace( GW_U32 nNum )const +{ + GW_ASSERT( nNumGetNbrFace() ); + return FaceVector_[nNum]; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetVertex +/** +* \param nNum [GW_U32] The number. +* \return [GW_Vertex*] The vertex. +* \author Gabriel Peyré +* \date 2-15-2003 +* +* Get one of the vertex. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +const GW_Vertex* GW_Mesh::GetVertex( GW_U32 nNum ) const +{ + GW_ASSERT( nNumGetNbrVertex() ); + return VertexVector_[nNum]; +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::SetStaticThis +/** + * \author Gabriel Peyré + * \date 4-2-2003 + * + * Set the global pointer. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Mesh::SetStaticThis() +{ + pStaticThis_ = this; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::UnSetStaticThis +/** + * \author Gabriel Peyré + * \date 4-2-2003 + * + * Set to NULL the global pointer. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Mesh::UnSetStaticThis() +{ + pStaticThis_ = NULL; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::StaticThis +/** + * \return [GW_Mesh&] Current mesh. + * \author Gabriel Peyré + * \date 4-2-2003 + * + * For global access during serialization. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Mesh& GW_Mesh::StaticThis() +{ + GW_ASSERT( pStaticThis_!=NULL ); + return *pStaticThis_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::Reset +/** + * \author Gabriel Peyré + * \date 4-6-2003 + * + * Clear everything. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Mesh::Reset() +{ + this->SetNbrFace(0); + this->SetNbrVertex(0); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::CreateNewVertex +/** + * \return [GW_Vertex&] The newly created vertex. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Allocate memory for a new vertex. You should overload this + * method + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vertex& GW_Mesh::CreateNewVertex() +{ + return *(new GW_Vertex); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::CreateNewFace +/** + * \return [GW_Face&] The newly created face. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Allocate memory for a new face. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Face& GW_Mesh::CreateNewFace() +{ + return *(new GW_Face); +} + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_PolygonIntersector.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_PolygonIntersector.h.svn-base new file mode 100644 index 0000000..5d03732 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_PolygonIntersector.h.svn-base @@ -0,0 +1,469 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_PolygonIntersector.h + * \brief Definition of class \c GW_PolygonIntersector + * \author Gabriel Peyré + * \date 6-11-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_POLYGONINTERSECTOR_H_ +#define _GW_POLYGONINTERSECTOR_H_ + +#include "GW_Config.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_PolygonIntersector + * \brief Compute the intersection of 2 CONVEX polygon. + * \author Gabriel Peyré + * \date 6-11-2003 + * + * This is based on the source code from the book Computational Geometry in C + * by Joseph O'Rourke, see + * http://cs.smith.edu/~orourke/books/compgeom.html. + */ +/*------------------------------------------------------------------------------*/ + +class GW_PolygonIntersector +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_PolygonIntersector() + {} + //@} + + T_Vector2DList& PerformIntersection( const T_Vector2DList& P1, const T_Vector2DList& P2 ) + { + int n = (int) P1.size(); + int m = (int) P2.size(); + tPolygoni PolyList1 = new tPointi[n+10]; + tPolygoni PolyList2 = new tPointi[m+10]; + GW_Float scale_factor = 50000; // this is because the algorithm works with int + /* fill the 2 polygons */ + GW_U32 num = 0; + for( CIT_Vector2DList it = P1.begin(); it!=P1.end(); ++it ) + { + const GW_Vector2D& v = *it; + PolyList1[num][0] = (int) (v[0]*scale_factor); + PolyList1[num][1] = (int) (v[1]*scale_factor); + num++; + } + num = 0; + for( CIT_Vector2DList it = P2.begin(); it!=P2.end(); ++it ) + { + const GW_Vector2D& v = *it; + PolyList2[num][0] = (int) (v[0]*scale_factor); + PolyList2[num][1] = (int) (v[1]*scale_factor); + num++; + } + + ConvexIntersect( PolyList1, PolyList2, n, m, IntersectionPolygon_ ); + + /** rescale back the polygon */ + for( IT_Vector2DList it = IntersectionPolygon_.begin(); it!=IntersectionPolygon_.end(); ++it ) + *it /= scale_factor; + + GW_DELETEARRAY(PolyList1); + GW_DELETEARRAY(PolyList2); + + return IntersectionPolygon_; + } + + T_Vector2DList& GetIntersectionPolygon() + { + return IntersectionPolygon_; + } + + GW_Float GetAreaIntersection() + { + return GW_PolygonIntersector::ComputePolygonArea( IntersectionPolygon_ ); + } + + + static GW_Float ComputePolygonArea( T_Vector2DList& Poly ) + { + if( Poly.size()<3 ) + return 0; + IT_Vector2DList it = Poly.begin(); + GW_Vector2D& v0 = *it; + it++; + GW_Vector2D& v1 = *it; + it++; + GW_Float area = 0; + while( it!=Poly.end() ) + { + GW_Vector2D v2 = *it; + area += GW_Maths::FlatTriangleArea( v0, v1, v2 ); + v1 = v2; + it++; + } + return area; + } + + /** return true if the polygon is in positive orientation */ + static GW_Bool CheckOrientation( T_Vector2DList& Poly ) + { + if( Poly.size()<3 ) + { + GW_ASSERT( GW_False ); + return GW_True; + } + GW_Vector2D center; + for( IT_Vector2DList it=Poly.begin(); it!=Poly.end(); ++it ) + center += *it; + center /= Poly.size(); + IT_Vector2DList itpoly=Poly.begin(); + GW_Vector2D v0 = *itpoly; + itpoly++; + GW_I32 orientation = 0; + while( itpoly!=Poly.end() ) + { + GW_Vector2D v1 = *itpoly; + GW_Float crossp = (v0[0]-center[0])*(v1[1]-center[1])-(v0[1]-center[1])*(v1[0]-center[0]); + GW_ASSERT( (crossp>0 && orientation>=0) || (crossp<0 && orientation<=0) ); + if( crossp>0 ) + orientation++; + else + orientation--; + v0 = v1; + itpoly++; + } + return orientation>0; + } + + void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_PolygonIntersector", s); + GW_PolygonIntersector PolyInt; + T_Vector2DList P1, P2; + P1.push_back(GW_Vector2D(0,0)); + P1.push_back(GW_Vector2D(2,0)); + P1.push_back(GW_Vector2D(2,2)); + P1.push_back(GW_Vector2D(0,2)); + P2.push_back(GW_Vector2D(1,1)); + P2.push_back(GW_Vector2D(3,1)); + P2.push_back(GW_Vector2D(3,3)); + P2.push_back(GW_Vector2D(1,3)); + + T_Vector2DList& R = PolyInt.PerformIntersection( P1,P2 ); + for( IT_Vector2DList it=R.begin(); it!=R.end(); ++it ) + cout << *it << endl; + + cout << "Area : " << PolyInt.GetAreaIntersection() << endl; + TestClassFooter("GW_PolygonIntersector", s); + } + +private: + + /** the computed polygon */ + T_Vector2DList IntersectionPolygon_; + + /** internal definition */ + #define EXIT_SUCCESS 0 + #define EXIT_FAILURE 1 + #undef X + #undef Y + #define X 0 + #define Y 1 + enum tInFlag + { Pin, Qin, Unknown } ; + + /** Polygon and points */ + #define DIM 2 /* Dimension of points */ + typedef int tPointi[DIM]; /* type integer point */ + typedef double tPointd[DIM]; /* type double point */ + typedef tPointi* tPolygoni;/* type integer polygon */ + + void debug_printf(const char*, ...) + {} + + + /** P has n vertices, Q has m vertices. */ + void ConvexIntersect( tPolygoni P, tPolygoni Q, int n, int m, T_Vector2DList& R ) + { + int a, b; /* indices on P and Q (resp.) */ + int a1, b1; /* a-1, b-1 (resp.) */ + tPointi A, B; /* directed edges on P and Q (resp.) */ + int cross; /* sign of z-component of A x B */ + int bHA, aHB; /* b in H(A); a in H(b). */ + tPointi Origin = {0,0}; /* (0,0) */ + tPointd p; /* double point of intersection */ + tPointd q; /* second point of intersection */ + tInFlag inflag; /* {Pin, Qin, Unknown}: which inside */ + int aa, ba; /* # advances on a & b indices (after 1st inter.) */ + bool FirstPoint; /* Is this the first point? (used to initialize).*/ + tPointd p0; /* The first point. */ + int code; /* SegSegInt return code. */ + + /* Initialize variables. */ + a = 0; b = 0; aa = 0; ba = 0; + inflag = Unknown; FirstPoint = GW_True; + + do { + /* Computations of key variables. */ + a1 = (a + n - 1) % n; + b1 = (b + m - 1) % m; + + SubVec( P[a], P[a1], A ); + SubVec( Q[b], Q[b1], B ); + + cross = AreaSign( Origin, A, B ); + aHB = AreaSign( Q[b1], Q[b], P[a] ); + bHA = AreaSign( P[a1], P[a], Q[b] ); + debug_printf("%%cross=%d, aHB=%d, bHA=%d\n", cross, aHB, bHA ); + + /* If A & B intersect, update inflag. */ + code = SegSegInt( P[a1], P[a], Q[b1], Q[b], p, q ); + debug_printf("%%SegSegInt: code = %c\n", code ); + if ( code == '1' || code == 'v' ) { + if ( inflag == Unknown && FirstPoint ) { + aa = ba = 0; + FirstPoint = GW_False; + p0[X] = p[X]; p0[Y] = p[Y]; + debug_printf("%8.2lf %8.2lf moveto\n", p0[X], p0[Y] ); + } + inflag = InOut( p, inflag, aHB, bHA ); + R.push_back( GW_Vector2D(p[X], p[Y]) ); + debug_printf("%%InOut sets inflag=%d\n", inflag); + } + + /*-----Advance rules-----*/ + /* Special case: A & B overlap and oppositely oriented. */ + if ( ( code == 'e' ) && (Dot( A, B ) < 0) ) + { +// GW_ASSERT( GW_False ); + return; + } + + /* Special case: A & B parallel and separated. */ + if ( (cross == 0) && ( aHB < 0) && ( bHA < 0 ) ) + { + debug_printf("%%P and Q are disjoint.\n"); + return; + } + + /* Special case: A & B collinear. */ + else if ( (cross == 0) && ( aHB == 0) && ( bHA == 0 ) ) { + /* Advance but do not output point. */ + if ( inflag == Pin ) + b = Advance( b, &ba, m, inflag == Qin, Q[b], R ); + else + a = Advance( a, &aa, n, inflag == Pin, P[a], R ); + } + + /* Generic cases. */ + else if ( cross >= 0 ) { + if ( bHA > 0) + a = Advance( a, &aa, n, inflag == Pin, P[a], R ); + else + b = Advance( b, &ba, m, inflag == Qin, Q[b], R ); + } + else /* if ( cross < 0 ) */{ + if ( aHB > 0) + b = Advance( b, &ba, m, inflag == Qin, Q[b], R ); + else + a = Advance( a, &aa, n, inflag == Pin, P[a], R ); + } + debug_printf("%%After advances:a=%d, b=%d; aa=%d, ba=%d; inflag=%d\n", a, b, aa, ba, inflag); + + /* Quit when both adv. indices have cycled, or one has cycled twice. */ + } while ( ((aa < n) || (ba < m)) && (aa < 2*n) && (ba < 2*m) ); + + if ( !FirstPoint ) /* If at least one point output, close up. */ + debug_printf("%8.2lf %8.2lf lineto\n", p0[X], p0[Y] ); + + /* Deal with special cases: not implemented. */ + if ( inflag == Unknown) + debug_printf("%%The boundaries of P and Q do not cross.\n"); + } + + + /** Prints out the double point of intersection, and toggles in/out flag. */ + tInFlag InOut( tPointd p, tInFlag inflag, int aHB, int bHA ) + { + debug_printf("%8.2lf %8.2lf lineto\n", p[X], p[Y] ); + + /* Update inflag. */ + if ( aHB > 0) + return Pin; + else if ( bHA > 0) + return Qin; + else /* Keep status quo. */ + return inflag; + } + /** Advances and prints out an inside vertex if appropriate. */ + int Advance( int a, int *aa, int n, bool inside, tPointi v, T_Vector2DList& R ) + { + if ( inside ) + { + debug_printf("%5d %5d lineto\n", v[X], v[Y] ); + R.push_back( GW_Vector2D(v[X], v[Y]) ); + } + (*aa)++; + return (a+1) % n; + } + /** a - b ==> c. */ + void SubVec( tPointi a, tPointi b, tPointi c ) + { + int i; + for( i = 0; i < DIM; i++ ) + c[i] = a[i] - b[i]; + } + int AreaSign( tPointi a, tPointi b, tPointi c ) + { + double area2; + + area2 = ( b[0] - a[0] ) * (double)( c[1] - a[1] ) - + ( c[0] - a[0] ) * (double)( b[1] - a[1] ); + + /* The area should be an integer. */ + if ( area2 > 0.5 ) return 1; + else if ( area2 < -0.5 ) return -1; + else return 0; + } + + /** SegSegInt: Finds the point of intersection p between two closed + segments ab and cd. Returns p and a char with the following meaning: + 'e': The segments collinearly overlap, sharing a point. + 'v': An endpoint (vertex) of one segment is on the other segment, + but 'e' doesn't hold. + '1': The segments intersect properly (i.e., they share a point and + neither 'v' nor 'e' holds). + '0': The segments do not intersect (i.e., they share no points). + Note that two collinear segments that share just one point, an endpoint + of each, returns 'e' rather than 'v' as one might expect. */ + char SegSegInt( tPointi a, tPointi b, tPointi c, tPointi d, tPointd p, tPointd q ) + { + double s, t; /* The two parameters of the parametric eqns. */ + double num, denom; /* Numerator and denoninator of equations. */ + char code = '?'; /* Return char characterizing intersection. */ + + denom = a[X] * (double)( d[Y] - c[Y] ) + + b[X] * (double)( c[Y] - d[Y] ) + + d[X] * (double)( b[Y] - a[Y] ) + + c[X] * (double)( a[Y] - b[Y] ); + + /* If denom is zero, then segments are parallel: handle separately. */ + if (denom == 0.0) + return ParallelInt(a, b, c, d, p, q); + + num = a[X] * (double)( d[Y] - c[Y] ) + + c[X] * (double)( a[Y] - d[Y] ) + + d[X] * (double)( c[Y] - a[Y] ); + if ( (num == 0.0) || (num == denom) ) code = 'v'; + s = num / denom; + + num = -( a[X] * (double)( c[Y] - b[Y] ) + + b[X] * (double)( a[Y] - c[Y] ) + + c[X] * (double)( b[Y] - a[Y] ) ); + if ( (num == 0.0) || (num == denom) ) code = 'v'; + t = num / denom; + + if ( (0.0 < s) && (s < 1.0) && + (0.0 < t) && (t < 1.0) ) + code = '1'; + else if ( (0.0 > s) || (s > 1.0) || + (0.0 > t) || (t > 1.0) ) + code = '0'; + + p[X] = a[X] + s * ( b[X] - a[X] ); + p[Y] = a[Y] + s * ( b[Y] - a[Y] ); + + return code; + } + char ParallelInt( tPointi a, tPointi b, tPointi c, tPointi d, tPointd p, tPointd q ) + { + if ( !Collinear( a, b, c) ) + return '0'; + + if ( Between( a, b, c ) && Between( a, b, d ) ) { + Assigndi( p, c ); + Assigndi( q, d ); + return 'e'; + } + if ( Between( c, d, a ) && Between( c, d, b ) ) { + Assigndi( p, a ); + Assigndi( q, b ); + return 'e'; + } + if ( Between( a, b, c ) && Between( c, d, b ) ) { + Assigndi( p, c ); + Assigndi( q, b ); + return 'e'; + } + if ( Between( a, b, c ) && Between( c, d, a ) ) { + Assigndi( p, c ); + Assigndi( q, a ); + return 'e'; + } + if ( Between( a, b, d ) && Between( c, d, b ) ) { + Assigndi( p, d ); + Assigndi( q, b ); + return 'e'; + } + if ( Between( a, b, d ) && Between( c, d, a ) ) { + Assigndi( p, d ); + Assigndi( q, a ); + return 'e'; + } + return '0'; + } + void Assigndi( tPointd p, tPointi a ) + { + int i; + for ( i = 0; i < DIM; i++ ) + p[i] = a[i]; + } + /** Returns TRUE iff point c lies on the closed segement ab. + Assumes it is already known that abc are collinear. */ + bool Between( tPointi a, tPointi b, tPointi c ) + { + /* If ab not vertical, check betweenness on x; else on y. */ + if ( a[X] != b[X] ) + return ((a[X] <= c[X]) && (c[X] <= b[X])) || + ((a[X] >= c[X]) && (c[X] >= b[X])); + else + return ((a[Y] <= c[Y]) && (c[Y] <= b[Y])) || + ((a[Y] >= c[Y]) && (c[Y] >= b[Y])); + } + + /** Returns the dot product of the two input vectors. */ + double Dot( tPointi a, tPointi b ) + { + int i; + double sum = 0.0; + + for( i = 0; i < DIM; i++ ) + sum += a[i] * b[i]; + + return sum; + } + + bool Collinear( tPointi a, tPointi b, tPointi c ) + { + return AreaSign( a, b, c ) == 0; + } + + +}; + +} // End namespace GW + + +#endif // _GW_POLYGONINTERSECTOR_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_ProgressBar.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_ProgressBar.h.svn-base new file mode 100644 index 0000000..33f9cf1 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_ProgressBar.h.svn-base @@ -0,0 +1,102 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_ProgressBar.h + * \brief Definition of class \c GW_ProgressBar + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_PROGRESSBAR_H_ +#define _GW_PROGRESSBAR_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Vertex.h" + +namespace GW { + +class GW_VoronoiVertex; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_ProgressBar + * \brief An ASCII progress bar + * \author Gabriel Peyré + * \date 1-02-2004 + */ +/*------------------------------------------------------------------------------*/ + +class GW_ProgressBar +{ + +public: + + GW_ProgressBar( GW_U32 nLength = 40, char char_begin = '|', char char_empty = '-', char char_progress = '*' ) + :nLength_( nLength ), + rCurPos_( 0 ), + rLastPrint_( 0 ), + rDelta_( 1.0/nLength ), + char_empty_( char_empty ), + char_begin_( char_begin ), + char_progress_( char_progress ) + { + /* NOTHING */ + } + + void Begin() + { + cout << char_begin_; + for( GW_U32 i=0; i=rCurPos_ ) + { + GW_U32 nToPrint = (GW_U32) floor( (rNewPos-rLastPrint_)/rDelta_ ); + if( nToPrint>0 ) + { + for( GW_U32 i=0; iUpdate(1.0+rDelta_/10); + cout << char_begin_; + } + +private: + + GW_U32 nLength_; + GW_Float rCurPos_; + GW_Float rDelta_; + GW_Float rLastPrint_; + char char_begin_; + char char_empty_; + char char_progress_; +}; + + +} // End namespace GW + + +#endif // _GW_GEODESICVERTEX_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Serializable.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Serializable.h.svn-base new file mode 100644 index 0000000..7cb23ea --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Serializable.h.svn-base @@ -0,0 +1,234 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Serializable.h + * \brief Definition of class \c GW_Serializable + * \author Gabriel Peyré + * \date 4-2-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_SERIALIZABLE_H_ +#define _GW_SERIALIZABLE_H_ + +#include "GW_Config.h" + +namespace GW { + +class GW_Ofstream: public std::ofstream +{ + +public: + + #ifdef std::_Ios_Openmode + #define my_openmode std::_Ios_Openmode + #else + #define my_openmode GW_I32 + #endif + + /** constructor */ + GW_Ofstream(const char* name, my_openmode mode = std::ios_base::binary | std::ios_base::trunc) + :std::ofstream(name, mode){} + + /** destructor */ + virtual ~GW_Ofstream(){} + + /** operators */ + #define DEFINE_OPERATOR(type) \ + GW_Ofstream& operator << (type& v) \ + { this->write( (char*) &v, (int) sizeof(type) ); \ + return *this; } + + DEFINE_OPERATOR(GW_I8); + DEFINE_OPERATOR(GW_U8); + DEFINE_OPERATOR(GW_I16); + DEFINE_OPERATOR(GW_U16); + DEFINE_OPERATOR(GW_I32); + DEFINE_OPERATOR(GW_U32); + //DEFINE_OPERATOR(GW_I64); + //DEFINE_OPERATOR(GW_U64); + DEFINE_OPERATOR(GW_Bool); + DEFINE_OPERATOR(GW_Float); + + #undef DEFINE_OPERATOR + + /** special treatement for strings */ + GW_Ofstream& operator << (string& v) + { + GW_U32 nSize = (GW_U32) v.size(); + (*this) << nSize; + this->write( (char*) v.c_str(), (int) v.size() ); + return *this; + } +}; + +class GW_Ifstream: public std::ifstream +{ + +public: + + GW_Ifstream(const char* name, my_openmode mode = std::ios_base::binary) + :std::ifstream(name, mode){} + virtual ~GW_Ifstream(){} + + #define DEFINE_OPERATOR(type) \ + GW_Ifstream& operator >> (type& v) \ + { this->read( (char*) &v, (int) sizeof(type) ); \ + return *this; } + + DEFINE_OPERATOR(GW_I8); + DEFINE_OPERATOR(GW_U8); + DEFINE_OPERATOR(GW_I16); + DEFINE_OPERATOR(GW_U16); + DEFINE_OPERATOR(GW_I32); + DEFINE_OPERATOR(GW_U32); +// DEFINE_OPERATOR(GW_I64); +// DEFINE_OPERATOR(GW_U64); + DEFINE_OPERATOR(GW_Bool); + DEFINE_OPERATOR(GW_Float); + + #undef DEFINE_OPERATOR + + /** special treatement for strings */ + GW_Ifstream& operator >> (string& v) + { + GW_U32 nSize; + (*this) >> nSize; + char* c = new char[nSize+1]; + c[nSize] = NULL; + this->read( c, (int) nSize ); + v = string(c); + return *this; + } +}; + + +//------------------------------------------------------------------------- +/** \name serialization macros */ +//------------------------------------------------------------------------- +//@{ +/** defines and implement GetClassName and GetClassName for a normal class */ +#define GW_DEFINE_SERIALIZATION(class) \ +string GetClassName() { return string( #class ); } \ +static GW_Serializable& CreateInstance() { return *(new class); } \ +GW_Serializable* Clone() const { return new class( *this ); } +/** defines and implement GetClassName and GetClassName for a template class */ +#define GW_DEFINE_SERIALIZATION_TEMPLATE(class, T) \ +string GetClassName() { return string( #class ); } \ +static GW_Serializable& CreateInstance() { return *(new class); }\ +GW_Serializable* Clone() const { return (new class( *this ) ); } +//@} + +typedef class GW_Serializable& (*T_CreateInstance_Function)(void); + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_Serializable + * \brief Base class for all class that want to be serialized into a file. + * \author Gabriel Peyré + * \date 4-2-2003 + * + * You must overload \c BuildFromFile and \c BuildToFile. + * You also must put somewhere in the class header : + * \c GW_DEFINE_SERIALIZATION(you_class_name); + */ +/*------------------------------------------------------------------------------*/ + +class GW_Serializable +{ +public: + + /** import the data from an opened file to the object */ + virtual void BuildFromFile( GW_Ifstream& file) + { + // nothing + } + /** export the data from the object to an opened file */ + virtual void BuildToFile( GW_Ofstream& file ) + { + // nothing + } + /** get the name of the class, usefull for the class factory */ + virtual string GetClassName() + { + return string("undefined"); + } + + /** duplicate the class : it's a virtual copy constructor */ + virtual GW_Serializable* Clone() const + { + return NULL; + } + + void TestClass() + { + GW_U32 nTest = 33; + GW_Float rTest = (GW_Float) 3.14; + string sTest = "Youhou, c'est cool !"; + + GW_Ofstream file( GW_TEST_FILE ); + file << nTest; + file << rTest; + file << sTest; + file.close(); + + GW_U32 nTest1; + GW_Float rTest1; + string sTest1; + + GW_Ifstream file2( GW_TEST_FILE ); + file2 >> nTest1; + file2 >> rTest1; + file2 >> sTest1; + file2.close(); + + GW_ASSERT( nTest==nTest1 ); + GW_ASSERT( rTest==rTest1 ); + GW_ASSERT( sTest==sTest1 ); +} + +}; + +//------------------------------------------------------------------------- +/** \name operators on OR_Serializable */ +//------------------------------------------------------------------------- +//@{ +inline +GW_Ofstream& operator << (GW_Ofstream& file, GW_Serializable& v) +{ + if( !file.is_open() ) + { + std::cerr << "File is not opened."; + return file; + } + + v.BuildToFile(file); + return file; +} + +inline +GW_Ifstream& operator >> (GW_Ifstream& file, GW_Serializable& v) +{ + if( !file.is_open() ) + { + std::cerr << "File is not opened."; + return file; + } + + v.BuildFromFile(file); + return file; +} + +//@} + +} // End namespace GW + + + +#endif // _GW_SERIALIZABLE_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_SmartCounter.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_SmartCounter.cpp.svn-base new file mode 100644 index 0000000..ca4b390 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_SmartCounter.cpp.svn-base @@ -0,0 +1,63 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_SmartCounter.cpp + * \brief Definition of class \c GW_SmartCounter + * \author Gabriel Peyré 2001-09-12 + */ +/*------------------------------------------------------------------------------*/ +#ifdef GW_SCCSID +static const char* sccsid = "@(#) GW_SmartCounter.cpp (c) Gabriel Peyré & Antoine Bouthors 2001"; +#endif // GW_SCCSID + + +#include "stdafx.h" +#include "GW_SmartCounter.h" + +#ifndef GW_USE_INLINE + #include "GW_SmartCounter.inl" +#endif + +using namespace GW; + + +/*------------------------------------------------------------------------------*/ +/** + * Name : GW_SmartCounter::CheckAndDelete + * + * \param pCounter the counter that we don't use anymore (can be NULL). + * \return Do we have delete the pointer ? + * \author Gabriel Peyré 2001-10-29 + * + * First release the pointer. If it is no longer use, delete it. + * Else print a warning message, since only manager should destroy datas. + */ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_SmartCounter::CheckAndDelete(GW_SmartCounter* pCounter) +{ + if( pCounter==NULL ) + return false; + + pCounter->ReleaseIt(); + if( pCounter->NoLongerUsed() ) + { + GW_DELETE(pCounter); + return true; + } + + return false; +} + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (C) 2000-2001 The Orion3D Rewiew Board // +//---------------------------------------------------------------------------// +// This file is under the Orion3D licence. // +// Refer to orion3d_licence.txt for more details about the Orion3D Licence. // +//---------------------------------------------------------------------------// +// Ce fichier est soumis a la Licence Orion3D. // +// Se reporter a orion3d_licence.txt pour plus de details sur cette licence.// +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_SmartCounter.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_SmartCounter.h.svn-base new file mode 100644 index 0000000..a28a276 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_SmartCounter.h.svn-base @@ -0,0 +1,99 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_SmartCounter.h + * \brief Definition of class \c GW_SmartCounter + * \author Gabriel Peyré 2001-09-12 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef __GW_SmartCounter_h_ +#define __GW_SmartCounter_h_ + +#include "GW_Config.h" + +namespace GW { + + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_SmartCounter + * \brief A smart reference counter. + * \author Gabriel Peyré 2001-09-12 + * + * Each object that want to use reference management must inherit from this class. + * + * Each time an external object wants to use the object for some period, it should call : + * \code + * MyObject->UseIt(); + * \endcode + * When the external object stop using this object, it must call : + * \code + * MyObject->ReleaseIt(); + * if( MyObject->NoLongerUsed() ) + * GW_DELETE( MyObject ); + * \endcode + */ +/*------------------------------------------------------------------------------*/ + +class GW_SmartCounter +{ + +public: + + GW_SmartCounter(); + GW_SmartCounter( const GW_SmartCounter& Dup ); + GW_SmartCounter& operator=( const GW_SmartCounter& Dup ); + virtual ~GW_SmartCounter(); + + //------------------------------------------------------------------------- + /** \name memory management */ + //------------------------------------------------------------------------- + //@{ + void UseIt(); + void ReleaseIt(); + bool NoLongerUsed(); + GW_I32 GetReferenceCounter(); + //@} + + + + //------------------------------------------------------------------------- + /** \name helper */ + //------------------------------------------------------------------------- + //@{ + static GW_Bool CheckAndDelete(GW_SmartCounter* pCounter); + //@} + +private: + + //------------------------------------------------------------------------- + /** \name memory management */ + //------------------------------------------------------------------------- + //@{ + GW_I32 nReferenceCounter_; + //@} +}; + + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_SmartCounter.inl" +#endif + + +#endif // __GW_SmartCounter_h_ + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (C) 2000-2001 The Orion3D Rewiew Board // +//---------------------------------------------------------------------------// +// This file is under the Orion3D licence. // +// Refer to orion3d_licence.txt for more details about the Orion3D Licence. // +//---------------------------------------------------------------------------// +// Ce fichier est soumis a la Licence Orion3D. // +// Se reporter a orion3d_licence.txt pour plus de details sur cette licence.// +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_SmartCounter.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_SmartCounter.inl.svn-base new file mode 100644 index 0000000..0fbaeb9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_SmartCounter.inl.svn-base @@ -0,0 +1,160 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_SmartCounter.inl + * \brief Inlined methods for \c GW_SmartCounter + * \author Gabriel Peyré 2001-09-12 + */ +/*------------------------------------------------------------------------------*/ +#include "GW_SmartCounter.h" + +namespace GW { + + +/*------------------------------------------------------------------------------*/ +/** + * Name : GW_SmartCounter constructor + * + * \author Gabriel Peyré 2001-09-12 + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_SmartCounter::GW_SmartCounter() +: nReferenceCounter_ ( 0 ) +{ + /* NOTHING */ +} + + +/*------------------------------------------------------------------------------ + * Name : GW_SmartCounter constructor + * + * \param Dup EXPLANATION + * \return PUT YOUR RETURN VALUE AND ITS EXPLANATION + * \author Antoine Bouthors 2001-11-24 + * + * PUT YOUR COMMENTS HERE + *------------------------------------------------------------------------------*/ +GW_INLINE +GW_SmartCounter::GW_SmartCounter( const GW_SmartCounter& Dup ) +: nReferenceCounter_(0) +{ + /* NOTHING */ +} + + +/*------------------------------------------------------------------------------ + * Name : GW_SmartCounter::operator + * + * \param Dup EXPLANATION + * \return PUT YOUR RETURN VALUE AND ITS EXPLANATION + * \author Antoine Bouthors 2001-11-24 + * + * PUT YOUR COMMENTS HERE + *------------------------------------------------------------------------------*/ +GW_INLINE +GW_SmartCounter& GW_SmartCounter::operator=( const GW_SmartCounter& Dup ) +{ + nReferenceCounter_ = 0; + return (*this); +} + + + +/*------------------------------------------------------------------------------*/ +/** + * Name : GW_SmartCounter destructor + * + * \author Gabriel Peyré 2001-09-12 + * + * Check that nobody is still using the object. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_SmartCounter::~GW_SmartCounter() +{ + GW_ASSERT( nReferenceCounter_==0 ); +} + + + +/*------------------------------------------------------------------------------*/ +/** + * Name : GW_SmartCounter::UseIt + * + * \author Gabriel Peyré 2001-09-10 + * + * Declare that we use this object. We must call \c ReleaseIt when we no longer use this object. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_SmartCounter::UseIt() +{ + GW_ASSERT( nReferenceCounter_<=50000 ); + nReferenceCounter_++; +} + + +/*------------------------------------------------------------------------------*/ +/** + * Name : GW_SmartCounter::ReleaseIt + * + * \author Gabriel Peyré 2001-09-10 + * + * Declare that we no longer use this object. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_SmartCounter::ReleaseIt() +{ + GW_ASSERT( nReferenceCounter_>0 ); + nReferenceCounter_--; +} + + +/*------------------------------------------------------------------------------*/ +/** + * Name : GW_SmartCounter::NoLongerUsed + * + * \return true if no one use this object anymore. + * \author Gabriel Peyré 2001-09-10 + * + * We can delete the object only if \c NoLongerUsed return true. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +bool GW_SmartCounter::NoLongerUsed() +{ + GW_ASSERT( nReferenceCounter_>=0 ); + return nReferenceCounter_==0; +} + + + +/*------------------------------------------------------------------------------ + * Name : GW_SmartCounter::GetReferenceCounter + * + * \return the value of the reference counter + * \author Antoine Bouthors 2001-11-30 + * + *------------------------------------------------------------------------------*/ +GW_INLINE +GW_I32 GW_SmartCounter::GetReferenceCounter() +{ + return nReferenceCounter_; +} + + +} // End namespace GW + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (C) 2000-2001 The Orion3D Rewiew Board // +//---------------------------------------------------------------------------// +// This file is under the Orion3D licence. // +// Refer to orion3d_licence.txt for more details about the Orion3D Licence. // +//---------------------------------------------------------------------------// +// Ce fichier est soumis a la Licence Orion3D. // +// Se reporter a orion3d_licence.txt pour plus de details sur cette licence.// +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Vertex.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Vertex.cpp.svn-base new file mode 100644 index 0000000..b4c3e11 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Vertex.cpp.svn-base @@ -0,0 +1,609 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Vertex.cpp + * \brief Definition of class \c GW_Vertex + * \author Gabriel Peyré + * \date 2-15-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_Vertex.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_Vertex.h" +#include "GW_Face.h" +#include "GW_FaceIterator.h" +#include "GW_VertexIterator.h" +#include "GW_Mesh.h" + +#ifndef GW_USE_INLINE + #include "GW_Vertex.inl" +#endif + +using namespace GW; + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::operator= +/** + * \param v [GW_Vertex&] Vertex + * \return [GW_Vertex&] *this + * \author Gabriel Peyré + * \date 1-13-2004 + * + * Copy operator + */ +/*------------------------------------------------------------------------------*/ +GW_Vertex& GW_Vertex::operator=(const GW_Vertex& Vert) +{ + this->Position_ = Vert.Position_; + this->Normal_ = Vert.Normal_; + this->CurvDirMin_ = Vert.CurvDirMin_; + this->CurvDirMax_ = Vert.CurvDirMax_; + this->rMinCurv_ = Vert.rMinCurv_; + this->rMaxCurv_ = Vert.rMaxCurv_; + this->TexCoords_[0] = Vert.TexCoords_[0]; + this->TexCoords_[1] = Vert.TexCoords_[1]; + this->pFace_ = NULL; // to be set later + this->nID_ = Vert.nID_; + return *this; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::SetFace +/** + * \param Face [GW_Face&] The parent face we are managed by. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Set the parent face. + */ +/*------------------------------------------------------------------------------*/ +void GW_Vertex::SetFace( GW_Face& Face ) +{ + pFace_ = &Face; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetFace +/** + * \return [GW_Face*] The face. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Set the face we are managed by. + */ +/*------------------------------------------------------------------------------*/ +GW_Face* GW_Vertex::GetFace() +{ + return pFace_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetFace +/** +* \return [GW_Face*] The face. +* \author Gabriel Peyré +* \date 2-15-2003 +* +* Set the face we are managed by. +*/ +/*------------------------------------------------------------------------------*/ +const GW_Face* GW_Vertex::GetFace() const +{ + return pFace_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::BeginFaceIterator +/** + * \return [GW_FaceIterator] The iterator. + * \author Gabriel Peyré + * \date 4-1-2003 + * + * Begin iterator on the surrounding of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_FaceIterator GW_Vertex::BeginFaceIterator() +{ + if( this->GetFace()==NULL ) + { + return this->EndFaceIterator(); + } + else + { + return GW_FaceIterator( this->GetFace(), this, this->GetFace()->GetNextVertex(*this) ); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::EndFaceIterator +/** + * \return [GW_FaceIterator] The iterator. + * \author Gabriel Peyré + * \date 4-1-2003 + * + * End iterator for the surrounding of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_FaceIterator GW_Vertex::EndFaceIterator() +{ + return GW_FaceIterator(NULL,NULL,NULL); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::BeginVertexIterator +/** +* \return [GW_VertexIterator] The iterator. +* \author Gabriel Peyré +* \date 4-1-2003 +* +* Begin iterator on the surrounding of the vertex. +*/ +/*------------------------------------------------------------------------------*/ +GW_VertexIterator GW_Vertex::BeginVertexIterator() +{ + if( this->GetFace()==NULL ) + { + return this->EndVertexIterator(); + } + else + { + return GW_VertexIterator( this->GetFace(), this, this->GetFace()->GetNextVertex(*this), NULL ); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::EndVertexIterator +/** +* \return [GW_VertexIterator] The iterator. +* \author Gabriel Peyré +* \date 4-1-2003 +* +* End iterator for the surrounding of the vertex. +*/ +/*------------------------------------------------------------------------------*/ +GW_VertexIterator GW_Vertex::EndVertexIterator() +{ + return GW_VertexIterator(NULL,NULL,NULL,NULL); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetFaces +/** + * \param Vert [GW_Vertex&] The other vertex. + * \param pFace1 [GW_Face*&] First face. + * \param pFace2 [GW_Face*&] Second face. + * \author Gabriel Peyré + * \date 4-19-2003 + * + * Get the face around this vertex and another one. + */ +/*------------------------------------------------------------------------------*/ +void GW_Vertex::GetFaces( const GW_Vertex& Vert, GW_Face*& pFace1, GW_Face*& pFace2 ) +{ + pFace1 = NULL; + pFace2 = NULL; + for( GW_VertexIterator it=this->BeginVertexIterator(); it!=this->EndVertexIterator(); ++it ) + { + GW_Vertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + if( pVert==&Vert ) + { + pFace1 = it.GetLeftFace(); + pFace2 = it.GetRightFace(); + return; + } + } +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::BuildRawNormal +/** +* \author Gabriel Peyré +* \date 4-2-2003 +* +* Compute the normal at the vertex using a very simple scheme. +*/ +/*------------------------------------------------------------------------------*/ +void GW_Vertex::BuildRawNormal() +{ + GW_Vector3D FaceNormal; + + Normal_.SetZero(); + GW_U32 nIter = 0; + for( GW_FaceIterator it = this->BeginFaceIterator(); it!=this->EndFaceIterator(); ++it ) + { + GW_Face* pFace = *it; + GW_ASSERT( pFace!=NULL ); + FaceNormal = (pFace->GetVertex(0)->GetPosition()-pFace->GetVertex(1)->GetPosition()) ^ + (pFace->GetVertex(0)->GetPosition()-pFace->GetVertex(2)->GetPosition()); + FaceNormal.Normalize(); + Normal_ += FaceNormal; + nIter++; + if( nIter>20 ) + break; + } + Normal_.Normalize(); +} + +GW_Float GW_Vertex::rTotalArea_ = 0; +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::BuildCurvatureData +/** +* \author Gabriel Peyré +* \date 4-2-2003 +* +* Compute all curvature data using comlex schemes. This includes +* normal, curvatures and curvature directions. +*/ +/*------------------------------------------------------------------------------*/ +void GW_Vertex::BuildCurvatureData() +{ + if( this->GetFace()==NULL ) + { + Normal_ = GW_Vector3D(0,0,1); + CurvDirMin_ = GW_Vector3D(1,0,0); + CurvDirMax_ = GW_Vector3D(0,1,0); + rMinCurv_ = rMaxCurv_ = 0; + return; + } + + GW_Float rArea; + this->ComputeNormalAndCurvature( rArea ); + this->ComputeCurvatureDirections( rArea ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::ComputeNormalAndCurvature +/** + * \author Gabriel Peyré + * \date 4-14-2003 + * + * Compute the normal via local averaging. Compute also the normal. + */ +/*------------------------------------------------------------------------------*/ +void GW_Vertex::ComputeNormalAndCurvature( GW_Float& rArea ) +{ + GW_Vector3D CurEdge; + GW_Vector3D CurEdgeNormalized; + GW_Float rCurEdgeLength; + GW_Float rCotan; + GW_Vector3D TempEdge1, TempEdge2; + GW_Float rTempEdge1Length, rTempEdge2Length; + GW_Float rAngle, rInnerAngle; + GW_Vertex* pTempVert = NULL; + GW_Float rDotP; + + Normal_.SetZero(); + rArea = 0; + GW_Float rGaussianCurv = 0; + + for( GW_VertexIterator it = this->BeginVertexIterator(); it!=this->EndVertexIterator(); ++it ) + { + GW_Vertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + CurEdge = pVert->GetPosition() - this->GetPosition(); + rCurEdgeLength = CurEdge.Norm(); + CurEdgeNormalized = CurEdge/rCurEdgeLength; + + /* here we store the value of the sum of the cotan */ + rCotan = 0; + + /* compute left angle */ + pTempVert = it.GetLeftVertex(); + if( pTempVert!=NULL ) + { + TempEdge1 = this->GetPosition() - pTempVert->GetPosition(); + TempEdge2 = pVert->GetPosition() - pTempVert->GetPosition(); + + TempEdge1.Normalize(); + TempEdge2.Normalize(); + /* we use tan(acos(x))=sqrt(1-x^2)/x */ + rDotP = TempEdge1*TempEdge2; + if( rDotP!=1 && rDotP!=-1 ) + rCotan += (GW_Float) rDotP/((GW_Float) sqrt(1-rDotP*rDotP)); + } + + /* compute right angle AND Gaussian contribution */ + pTempVert = it.GetRightVertex(); + if( pTempVert!=NULL ) + { + TempEdge1 = this->GetPosition() - pTempVert->GetPosition(); + TempEdge2 = pVert->GetPosition() - pTempVert->GetPosition(); + rTempEdge1Length = TempEdge1.Norm(); + rTempEdge2Length = TempEdge2.Norm(); + TempEdge1 /= rTempEdge1Length; + TempEdge2 /= rTempEdge2Length; + rAngle = (GW_Float) acos( -(TempEdge1 * CurEdgeNormalized) ); + /* we use tan(acos(x))=sqrt(1-x^2)/x */ + rDotP = TempEdge1*TempEdge2; + rInnerAngle = (GW_Float) acos( rDotP ); + if( rDotP!=1 && rDotP!=-1 ) + rCotan += rDotP/((GW_Float) sqrt(1-rDotP*rDotP)); + + rGaussianCurv += rAngle; + + /* compute the contribution to area, testing for special obtuse angle */ + if( rAngle=GW_HALFPI ) + { + /* obtuse at the central vertex : 0.5*area(T) */ + rArea += 0.25*rCurEdgeLength*rTempEdge1Length* ~(CurEdgeNormalized^TempEdge1); + } + else + { + /* obtuse at one of side vertex */ + rArea += 0.125*rCurEdgeLength*rTempEdge1Length* ~(CurEdgeNormalized^TempEdge1); + } + } + GW_CHECK_MATHSBIT(); + + /* add the contribution to Normal */ + Normal_ -= CurEdge*rCotan; + } + GW_CHECK_MATHSBIT(); + + GW_ASSERT( rArea!=0 ); // remove this ! + + /* the Gaussian curv */ + rGaussianCurv = (GW_TWOPI - rGaussianCurv)/rArea; + /* compute Normal and mean curv */ + Normal_ /= 4.0*rArea; + GW_Float rMeanCurv = Normal_.Norm(); + if( GW_ABS(rMeanCurv)>GW_EPSILON ) + { + GW_Vector3D Normal = Normal_/rMeanCurv; + /* see if we need to flip the normal */ + this->BuildRawNormal(); + if( Normal*Normal_<0 ) + Normal_ = -Normal; + else + Normal_ = Normal; + } + else + { + /* we must use another method to compute normal */ + this->BuildRawNormal(); + } + + GW_Vertex::rTotalArea_ += rArea; + + /* compute the two curv values */ + GW_Float rDelta = rMeanCurv*rMeanCurv - rGaussianCurv; + if( rDelta<0 ) + rDelta = 0; + rDelta = sqrt(rDelta); + rMinCurv_ = rMeanCurv - rDelta; + rMaxCurv_ = rMeanCurv + rDelta; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::ComputeCurvatureDirections +/** + * \author Gabriel Peyré + * \date 4-14-2003 + * + * Compute the principal curvature directions via least square + * minimization. The normal should be computed BEFORE. + */ +/*------------------------------------------------------------------------------*/ +void GW_Vertex::ComputeCurvatureDirections( GW_Float rArea ) +{ + GW_Vector3D CurEdge; + GW_Vector3D CurEdgeNormalized; + GW_Float rCurEdgeLength; + GW_Float rCotan; + GW_Vector3D TempEdge1, TempEdge2; + GW_Vertex* pTempVert = NULL; + GW_Float rDotP; + + /***********************************************************************************/ + /* compute the two curvature directions */ + /* (v1,v2) form a basis of the tangent plante */ + GW_Vector3D v1 = Normal_ ^ GW_Vector3D(0,0,1); + GW_Float rNorm = v1.Norm(); + if( rNormGW_EPSILON ); + } + v1 /= rNorm; + GW_Vector3D v2 = Normal_ ^ v1; + + /* now we must find the curvature matrix entry by minimising a mean square problem + the 3 entry of the symetric curvature matrix in (v1,v2) basis are (a,b,c), stored in vector x. + IMPORTANT : we must ensure aBeginVertexIterator(); it!=this->EndVertexIterator(); ++it ) + { + GW_Vertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + CurEdge = pVert->GetPosition() - this->GetPosition(); + rCurEdgeLength = CurEdge.Norm(); + CurEdgeNormalized = CurEdge/rCurEdgeLength; + + /* here we store the value of the sum of the cotan */ + rCotan = 0; + + /* compute projection onto v1,v2 basis */ + d1 = v1*CurEdge; + d2 = v2*CurEdge; + rNorm = sqrt(d1*d1 + d2*d2); + if( rNorm>0 ) + { + d1 /= rNorm; + d2 /= rNorm; + } + + /* compute left angle */ + pTempVert = it.GetLeftVertex(); + if( pTempVert!=NULL ) + { + TempEdge1 = this->GetPosition() - pTempVert->GetPosition(); + TempEdge2 = pVert->GetPosition() - pTempVert->GetPosition(); + TempEdge1.Normalize(); + TempEdge2.Normalize(); + /* we use tan(acos(x))=sqrt(1-x^2)/x */ + rDotP = TempEdge1*TempEdge2; + if( rDotP!=1 && rDotP!=-1 ) + rCotan += rDotP/sqrt(1-rDotP*rDotP); + } + + /* compute right angle AND Gaussian contribution */ + pTempVert = it.GetRightVertex(); + if( pTempVert!=NULL ) + { + TempEdge1 = this->GetPosition() - pTempVert->GetPosition(); + TempEdge2 = pVert->GetPosition() - pTempVert->GetPosition(); + TempEdge1.Normalize(); + TempEdge2.Normalize(); + /* we use tan(acos(x))=sqrt(1-x^2)/x */ + rDotP = TempEdge1*TempEdge2; + if( rDotP!=1 && rDotP!=-1 ) + rCotan += (GW_Float) rDotP/sqrt(1-rDotP*rDotP); + + } + GW_CHECK_MATHSBIT(); + + /*compute weight */ + w = 0.125/rArea*rCotan*rCurEdgeLength*rCurEdgeLength; + /* compute directional curvature */ + k = -2*(CurEdge*Normal_)/(rCurEdgeLength*rCurEdgeLength); + k = k-(rMinCurv_+rMaxCurv_); // modified by the fact that we use a+c=2*MeanCurv + /* add contribution to M matrix and D vector*/ + M00 += w*(d1*d1-d2*d2)*(d1*d1-d2*d2); + M11 += 4*w*d1*d1*d2*d2; + M01 += 2*w*(d1*d1-d2*d2)*d1*d2; + D[0] += w*k*( d1*d1-d2*d2); + D[1] += 2*w*k*d1*d2; + } + GW_CHECK_MATHSBIT(); + + /* solve the system */ + GW_Float rDet = M00*M11 - M01*M01; + if( rDet!=0 ) + { + /* The inverse matrix is : | M11 -M01| + 1/rDet * |-M01 M00| */ + a = 1/rDet * ( M11*D[0] - M01*D[1] ); + b = 1/rDet * (-M01*D[0] + M00*D[1] ); + } + + c = (rMinCurv_+rMaxCurv_) - a; + // GW_ORDER(a,c); + + /* compute the direction via Givens rotations */ + GW_Float rTheta; + if( GW_ABS(c-a) < GW_EPSILON ) + { + if( b==0 ) + rTheta = 0; + else + rTheta = GW_HALFPI; + } + else + { + rTheta = (GW_Float) 2.0f*b/(c-a); + rTheta = (GW_Float) 0.5f*atan(rTheta); + } + + GW_CHECK_MATHSBIT(); + + CurvDirMin_ = v1*cos(rTheta) - v2*sin(rTheta); + CurvDirMax_ = v1*sin(rTheta) + v2*cos(rTheta); + + GW_Float vp1 = 0, vp2 = 0; + if( rTheta!=0 ) + { + GW_Float r1 = a*cos(rTheta) - b*sin(rTheta); + GW_Float r2 = b*cos(rTheta) - c*sin(rTheta); + r1 =(GW_Float) r1/cos(rTheta); + r2 = (GW_Float) -r2/sin(rTheta); + vp1 = r1; +// GW_ASSERT( GW_ABS(r1-r2)<0.001*GW_ABS(r1) ); + + r1 = (GW_Float) a*sin(rTheta) + b*cos(rTheta); + r2 = (GW_Float) b*sin(rTheta) + c*cos(rTheta); + r1 = (GW_Float) r1/sin(rTheta); + r2 = (GW_Float) r2/cos(rTheta); + vp2 = r2; +// GW_ASSERT( GW_ABS(r1-r2)<0.001*GW_ABS(r1) ); + } + + if( vp1>vp2 ) + { + GW_Vector3D vtemp = CurvDirMin_; + CurvDirMin_ = CurvDirMax_; + CurvDirMax_ = vtemp; + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetNumberNeighbor +/** + * \return [GW_U32] Answer. + * \author Gabriel Peyré + * \date 6-6-2003 + * + * Get the number of neighbors around this vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_U32 GW_Vertex::GetNumberNeighbor() +{ + GW_U32 nNum = 0; + for( GW_VertexIterator it = this->BeginVertexIterator(); it!=this->EndVertexIterator(); ++it ) + nNum++; + return nNum; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::IsBoundaryVertex +/** + * \return [GW_U32] Answer. + * \author Gabriel Peyré + * \date 6-6-2003 + * + * Test if the vertex is a boundary one. + */ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_Vertex::IsBoundaryVertex() +{ + for( GW_VertexIterator it = this->BeginVertexIterator(); it!=this->EndVertexIterator(); ++it ) + { + if( it.GetLeftFace()==NULL || it.GetRightFace()==NULL ) + return GW_True; + } + return GW_False; +} + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Vertex.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Vertex.h.svn-base new file mode 100644 index 0000000..de5854d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Vertex.h.svn-base @@ -0,0 +1,203 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Vertex.h + * \brief Definition of class \c GW_Vertex + * \author Gabriel Peyré + * \date 2-12-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_VERTEX_H_ +#define _GW_VERTEX_H_ + +#include "GW_Config.h" +#include "GW_SmartCounter.h" + +namespace GW { + +class GW_Face; +class GW_FaceIterator; +class GW_VertexIterator; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_Vertex + * \brief A vertex, with it's normal and position. + * \author Gabriel Peyré + * \date 2-12-2003 + * + * This is a simple vertex, with only position, normal, and texture + * coordinates. + * + * More elaborate vertex may derive from this base class. + * + * To find it self on the mesh connectivity, a vertex has a pointer + * on a face it belongs to. This enable to march on the vertex face-neighborhood, etc. + */ +/*------------------------------------------------------------------------------*/ + +class GW_Vertex: public GW_SmartCounter +{ + +public: + + static GW_Float rTotalArea_; + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_Vertex(); + virtual ~GW_Vertex(); + virtual GW_Vertex& operator=(const GW_Vertex& v); + //@} + + //------------------------------------------------------------------------- + /** \name Acessors */ + //------------------------------------------------------------------------- + //@{ + void SetPosition( const GW_Vector3D& Position ); + GW_Vector3D& GetPosition(); + void SetNormal( GW_Vector3D& Normal ); + void SetTexCoords( GW_Float u, GW_Float v ); + void SetTexCoordU( GW_Float u ); + void SetTexCoordV( GW_Float v ); + GW_Float GetTexCoordU(); + GW_Float GetTexCoordV(); + + void SetFace( GW_Face& Face ); + GW_Face* GetFace(); + const GW_Face* GetFace() const; + + void GetFaces( const GW_Vertex& Vert, GW_Face*& pFace1, GW_Face*& pFace2 ); + + void SetID(GW_U32 nID); + GW_U32 GetID() const; + + GW_U32 GetNumberNeighbor(); + GW_Bool IsBoundaryVertex(); + //@} + + //------------------------------------------------------------------------- + /** \name Caracteristic data management. */ + //------------------------------------------------------------------------- + //@{ + void BuildRawNormal(); + void BuildCurvatureData(); + //@} + + //------------------------------------------------------------------------- + /** \name Iterator management. */ + //------------------------------------------------------------------------- + //@{ + GW_FaceIterator BeginFaceIterator(); + GW_FaceIterator EndFaceIterator(); + + GW_VertexIterator BeginVertexIterator(); + GW_VertexIterator EndVertexIterator(); + //@} + + //------------------------------------------------------------------------- + /** \name Curvature accessors. */ + //------------------------------------------------------------------------- + //@{ + GW_Float GetMinCurv(); + GW_Float GetMaxCurv(); + GW_Float GetGaussianCurv(); + GW_Float GetMeanCurv(); + GW_Float GetMaxAbsCurv(); + GW_Vector3D& GetNormal(); + GW_Vector3D& GetMinCurvDirection(); + GW_Vector3D& GetMaxCurvDirection(); + //@} + + void SetUserData( GW_SmartCounter* pUserData ); + GW_SmartCounter* GetUserData(); + + //------------------------------------------------------------------------- + /** \name ID helpers */ + //------------------------------------------------------------------------- + //@{ + static GW_U32 ComputeUniqueId( const GW_Vertex& Vert0, const GW_Vertex& Vert1 ); + static GW_U32 ComputeUniqueId( const GW_Vertex& Vert0, const GW_Vertex& Vert1, const GW_Vertex& Vert2 ); + //@} + + +private: + + void ComputeNormalAndCurvature( GW_Float& rArea ); + void ComputeCurvatureDirections( GW_Float rArea ); + + /** Position of the vertex */ + GW_Vector3D Position_; + /** Normal of the vertex */ + GW_Vector3D Normal_; + /** Minimum curvature direction */ + GW_Vector3D CurvDirMin_; + /** maximum curvature direction */ + GW_Vector3D CurvDirMax_; + /** Minimum curvature */ + GW_Float rMinCurv_; + /** Maximum curvature */ + GW_Float rMaxCurv_; + /** Texture coords */ + GW_Float TexCoords_[2]; + /** A pointer on the face which owned the vertex */ + GW_Face* pFace_; + /** The ID the face, given by the Mesh. Should be in the range [0,...,NbrVertex] */ + GW_U32 nID_; + + /** a user defined data */ + GW_SmartCounter* pUserData_; + +}; + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_Vertex */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_VertexVector; +typedef T_VertexVector::iterator IT_VertexVector; +typedef T_VertexVector::reverse_iterator RIT_VertexVector; +typedef T_VertexVector::const_iterator CIT_VertexVector; +typedef T_VertexVector::const_reverse_iterator CRIT_VertexVector; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a list of GW_Vertex */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::list T_VertexList; +typedef T_VertexList::iterator IT_VertexList; +typedef T_VertexList::reverse_iterator RIT_VertexList; +typedef T_VertexList::const_iterator CIT_VertexList; +typedef T_VertexList::const_reverse_iterator CRIT_VertexList; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_Vertex */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_VertexMap; +typedef T_VertexMap::iterator IT_VertexMap; +typedef T_VertexMap::reverse_iterator RIT_VertexMap; +typedef T_VertexMap::const_iterator CIT_VertexMap; +typedef T_VertexMap::const_reverse_iterator CRIT_VertexMap; +//@} + + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_Vertex.inl" +#endif + + +#endif // _GW_VERTEX_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Vertex.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Vertex.inl.svn-base new file mode 100644 index 0000000..685aaec --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_Vertex.inl.svn-base @@ -0,0 +1,440 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Vertex.inl + * \brief Inlined methods for \c GW_Vertex + * \author Gabriel Peyré + * \date 2-15-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_Vertex.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex constructor +/** + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vertex::GW_Vertex() +: Position_ ( 0,0,0 ), + Normal_ ( 0,0,1 ), + CurvDirMin_ ( 1,0,0 ), + CurvDirMax_ ( 0,1,0 ), + pFace_ ( NULL ), + rMinCurv_ ( 0 ), + rMaxCurv_ ( 0 ), + nID_ ( 0 ), + pUserData_ ( NULL ) +{ + TexCoords_[0] = TexCoords_[1] = 0; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex destructor +/** + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vertex::~GW_Vertex() +{ + if( pUserData_!=NULL ) + GW_SmartCounter::CheckAndDelete( pUserData_ ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::SetPosition +/** + * \param Position [GW_Vector3D&] The new position. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Set the position of the vertex (in the local coords system of + * the mesh) + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Vertex::SetPosition( const GW_Vector3D& Position ) +{ + Position_ = Position; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetPosition +/** + * \return [GW_Vector3D&] The position. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Return the position, in local frame. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vector3D& GW_Vertex::GetPosition() +{ + return Position_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::SetNormal +/** + * \param Normal [GW_Vector3D&] The normal. Should not be face-based if you want to use gouraud shading. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Set the normal to the mesh, on the location of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Vertex::SetNormal( GW_Vector3D& Normal ) +{ + Normal_ = Normal; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetNormal +/** + * \return [GW_Vector3D&] The normal. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * The normal ot the mesh. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vector3D& GW_Vertex::GetNormal() +{ + return Normal_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::SetTexCoords +/** + * \param u [GW_Float] U coord + * \param v [GW_Float] V coord + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Texture coordonates. Should be in [O,1] + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Vertex::SetTexCoords( GW_Float u, GW_Float v ) +{ + TexCoords_[0] = u; + TexCoords_[1] = v; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::SetTexCoordU +/** + * \param u [GW_Float] U coord + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Only set U coord + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Vertex::SetTexCoordU( GW_Float u ) +{ + TexCoords_[0] = u; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::SetTexCoordV +/** +* \param v [GW_Float] V coord +* \author Gabriel Peyré +* \date 2-15-2003 +* +* Only set V coord +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Vertex::SetTexCoordV( GW_Float v ) +{ + TexCoords_[1] = v; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetTexCoordU +/** + * \return [GW_Float] U coord + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get U component. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_Vertex::GetTexCoordU() +{ + return TexCoords_[0]; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetTexCoordV +/** + * \return [GW_Float] V coord. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get V coord. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_Vertex::GetTexCoordV() +{ + return TexCoords_[1]; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::void SetID +/** + * \param nID [GW_U32] New ID + * \author Gabriel Peyré + * \date 3-31-2003 + * + * Set the number of the vertex in the mesh. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Vertex::SetID(GW_U32 nID) +{ + nID_ = nID; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetID +/** + * \return [GW_U32] The ID + * \author Gabriel Peyré + * \date 3-31-2003 + * + * Get the ID of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_U32 GW_Vertex::GetID() const +{ + return nID_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetMinCurv +/** + * \return [GW_Float] The value. + * \author Gabriel Peyré + * \date 4-3-2003 + * + * Get the minimum curvature value. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_Vertex::GetMinCurv() +{ + return rMinCurv_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetMaxCurv +/** +* \return [GW_Float] The value. +* \author Gabriel Peyré +* \date 4-3-2003 +* +* Get the maximum curvature value. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_Vertex::GetMaxCurv() +{ + return rMaxCurv_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetGaussianCurv +/** +* \return [GW_Float] The value. +* \author Gabriel Peyré +* \date 4-3-2003 +* +* Get the gaussian curvature value. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_Vertex::GetGaussianCurv() +{ + return rMaxCurv_*rMinCurv_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetMeanCurv +/** +* \return [GW_Float] The value. +* \author Gabriel Peyré +* \date 4-3-2003 +* +* Get the mean curvature value. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_Vertex::GetMeanCurv() +{ + return (GW_Float) 0.5*(rMaxCurv_+rMinCurv_); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetMaxAbsCurv +/** +* \return [GW_Float] The value. +* \author Gabriel Peyré +* \date 4-3-2003 +* +* Get the maximum of absolute values of the max/min curvature. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_Vertex::GetMaxAbsCurv() +{ + return GW_MAX( GW_ABS(rMaxCurv_), GW_ABS(rMinCurv_)); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetMinCurvDirection +/** + * \return [GW_Vector3D&] The direction. + * \author Gabriel Peyré + * \date 4-3-2003 + * + * Get the minimum curvature direction. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vector3D& GW_Vertex::GetMinCurvDirection() +{ + return CurvDirMin_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetMaxCurvDirection +/** +* \return [GW_Vector3D&] The direction. +* \author Gabriel Peyré +* \date 4-3-2003 +* +* Get the maximum curvature direction. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vector3D& GW_Vertex::GetMaxCurvDirection() +{ + return CurvDirMax_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::SetUserData +/** + * \param pUserData [GW_SmartCounter*] The new used data. + * \author Gabriel Peyré + * \date 5-30-2003 + * + * Set a user data. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Vertex::SetUserData( GW_SmartCounter* pUserData ) +{ + if( pUserData_!=NULL ) + GW_SmartCounter::CheckAndDelete( pUserData_ ); + pUserData_ = pUserData; + if( pUserData_!=NULL ) + pUserData_->UseIt(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetUserData +/** + * \return [GW_SmartCounter*] The user data. + * \author Gabriel Peyré + * \date 5-30-2003 + * + * Get the user data. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_SmartCounter* GW_Vertex::GetUserData() +{ + return pUserData_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::ComputeUniqueId +/** +* \param Vert0 [GW_Vertex&] 1st vertex. +* \param Vert1 [GW_Vertex&] 2nd vertex. +* \param Vert2 [GW_Vertex&] 3rd vertex. +* \author Gabriel Peyré +* \date 4-13-2003 +* +* Compute an ID for the unordered 3-uplet. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_U32 GW_Vertex::ComputeUniqueId( const GW_Vertex& Vert0, const GW_Vertex& Vert1, const GW_Vertex& Vert2 ) +{ + GW_U32 nId0 = Vert0.GetID(); + GW_U32 nId1 = Vert1.GetID(); + GW_U32 nId2 = Vert2.GetID(); + /* classify the Id */ + GW_ORDER( nId0, nId1 ); + GW_ORDER( nId1, nId2 ); + GW_ORDER( nId0, nId1 ); + return (GW_U32) nId0 + (nId1<<10) + (nId2<<20); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::ComputeUniqueId +/** +* \param Vert0 [GW_Vertex&] 1st vertex. +* \param Vert1 [GW_Vertex&] 2nd vertex. +* \author Gabriel Peyré +* \date 4-13-2003 +* +* Compute an ID for the unordered 2-uplet. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_U32 GW_Vertex::ComputeUniqueId( const GW_Vertex& Vert0, const GW_Vertex& Vert1 ) +{ + GW_U32 nId0 = Vert0.GetID(); + GW_U32 nId1 = Vert1.GetID(); + /* classify the Id */ + GW_ORDER( nId0, nId1 ); + return (GW_U32) nId0 + (nId1<<15); +} + + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_VertexIterator.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_VertexIterator.cpp.svn-base new file mode 100644 index 0000000..62ec86c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_VertexIterator.cpp.svn-base @@ -0,0 +1,225 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VertexIterator.cpp + * \brief Definition of class \c GW_VertexIterator + * \author Gabriel Peyré + * \date 4-2-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_VertexIterator.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_VertexIterator.h" +#include "GW_Face.h" + +using namespace GW; + +GW_VertexIterator::GW_VertexIterator( GW_Face* pFace, GW_Vertex* pOrigin, GW_Vertex* pDirection, GW_Face* pPrevFace, GW_U32 nNbrIncrement ) +: pFace_ ( pFace), + pOrigin_ ( pOrigin ), + pDirection_ ( pDirection ), + pPrevFace_ ( pPrevFace ), + nNbrIncrement_ ( nNbrIncrement ) +{ } + +/* assignement */ +GW_VertexIterator& GW_VertexIterator::operator=( const GW_VertexIterator& it) +{ + this->pFace_ = it.pFace_; + this->pOrigin_ = it.pOrigin_; + this->pDirection_ = it.pDirection_; + this->pPrevFace_ = it.pPrevFace_; + this->nNbrIncrement_= it.nNbrIncrement_; + return *this; +} + +/* egality */ +GW_Bool GW_VertexIterator::operator==( const GW_VertexIterator& it) +{ + return (this->pFace_==it.pFace_) + && (this->pOrigin_==it.pOrigin_) + && (this->pDirection_==it.pDirection_) + && (this->pPrevFace_==it.pPrevFace_); +} + +/* egality */ +GW_Bool GW_VertexIterator::operator!=( const GW_VertexIterator& it) +{ + return (this->pFace_!=it.pFace_) + || (this->pOrigin_!=it.pOrigin_) + || (this->pDirection_!=it.pDirection_) + || (this->pPrevFace_!=it.pPrevFace_); +} + + +/* egality */ +GW_Vertex* GW_VertexIterator::operator*( ) +{ + return this->pDirection_; +} + +/* progression : \todo take in acount NULL pointer */ +void GW_VertexIterator::operator++() +{ + if( this->nNbrIncrement_>100 ) + { + GW_ASSERT( GW_False ); + (*this) = GW_VertexIterator(NULL,NULL,NULL,NULL); + return; + } + + if( pFace_==NULL && pOrigin_!=NULL ) + { + GW_ASSERT(pDirection_!=NULL); + /* we are on a border face : Rewind on the first face */ + while( pPrevFace_!=NULL ) + { + pFace_ = pPrevFace_; + pPrevFace_ = pPrevFace_->GetFaceNeighbor( *pDirection_ ); + pDirection_ = pFace_->GetVertex( *pOrigin_, *pDirection_ ); + } + if( pFace_==pOrigin_->GetFace() ) + { + // we are on End. + (*this) = GW_VertexIterator(NULL,NULL,NULL,NULL); + } + else + { + (*this) = GW_VertexIterator( pFace_, pOrigin_, pDirection_, pPrevFace_, nNbrIncrement_+1 ); + } + return; + } + + if( pFace_!=NULL && pDirection_!=NULL && pOrigin_!=NULL ) + { + GW_Face* pNextFace = pFace_->GetFaceNeighbor( *pDirection_ ); + /* check for end() */ + if( pNextFace==pOrigin_->GetFace() ) + { + (*this) = GW_VertexIterator(NULL,NULL,NULL,NULL); + } + else + { + GW_Vertex* pNextDirection = pFace_->GetVertex( *pOrigin_, *pDirection_ ); + GW_ASSERT( pNextDirection!=NULL ); + /* RMK : pNextFace can be NULL in case of a border edge */ + (*this) = GW_VertexIterator( pNextFace, pOrigin_, pNextDirection, pFace_, nNbrIncrement_+1 ); + } + } + else + { + (*this) = GW_VertexIterator(NULL,NULL,NULL,NULL); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VertexIterator::GetLeftFace +/** + * \return [GW_Face*] Can be NULL. + * \author Gabriel Peyré + * \date 4-3-2003 + * + * Get the face in the left of the current edge. + */ +/*------------------------------------------------------------------------------*/ +GW_Face* GW_VertexIterator::GetLeftFace() +{ + if( pDirection_==NULL ) + return NULL; + if( pPrevFace_!=NULL ) + { + /* we must use prev-face because we can be on a border vertex. */ + return pPrevFace_;; + } + else + { + GW_ASSERT( pFace_!=NULL ); + GW_ASSERT( pOrigin_!=NULL ); + return pFace_->GetFaceNeighbor( *pDirection_,*pOrigin_ ); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VertexIterator::GetRightFace +/** +* \return [GW_Face*] Can be NULL. +* \author Gabriel Peyré +* \date 4-3-2003 +* +* Get the face in the right of the current edge. +*/ +/*------------------------------------------------------------------------------*/ +GW_Face* GW_VertexIterator::GetRightFace() +{ + return pFace_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VertexIterator::GetRightVertex +/** + * \return [GW_Vertex*] Can be NULL + * \author Gabriel Peyré + * \date 4-3-2003 + * + * Get the vertex just after. + */ +/*------------------------------------------------------------------------------*/ +GW_Vertex* GW_VertexIterator::GetRightVertex() +{ + if( pDirection_==NULL ) + return NULL; + if( pFace_==NULL ) + { + return NULL; + } + else + { + GW_ASSERT( pOrigin_!=NULL ); + return pFace_->GetVertex( *pDirection_,*pOrigin_ ); + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VertexIterator::GetLeftVertex +/** +* \return [GW_Vertex*] Can be NULL +* \author Gabriel Peyré +* \date 4-3-2003 +* +* Get the vertex just before. +*/ +/*------------------------------------------------------------------------------*/ +GW_Vertex* GW_VertexIterator::GetLeftVertex() +{ + if( pDirection_==NULL ) + return NULL; + if( pPrevFace_!=NULL ) + { + /* we must use prev-face because we can be on a border vertex. */ + GW_ASSERT( pOrigin_!=NULL ); + return pPrevFace_->GetVertex( *pDirection_,*pOrigin_ ); + } + else + { + GW_ASSERT( pFace_!=NULL ); + pPrevFace_ = pFace_->GetFaceNeighbor( *pDirection_,*pOrigin_ ); + if( pPrevFace_!=NULL ) + return pPrevFace_->GetVertex( *pDirection_,*pOrigin_ ); + else + return NULL; + } +} + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_VertexIterator.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_VertexIterator.h.svn-base new file mode 100644 index 0000000..a970775 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/GW_VertexIterator.h.svn-base @@ -0,0 +1,80 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VertexIterator.h + * \brief Definition of class \c GW_VertexIterator + * \author Gabriel Peyré + * \date 4-2-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_VERTEXITERATOR_H_ +#define _GW_VERTEXITERATOR_H_ + +#include "GW_Config.h" + +namespace GW { + +class GW_Face; +class GW_Vertex; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_VertexIterator + * \brief An iterator on the vertex around a given vertex. + * \author Gabriel Peyré + * \date 4-2-2003 + * + * To iterate on vertex. + */ +/*------------------------------------------------------------------------------*/ + +class GW_VertexIterator +{ + +public: + + GW_VertexIterator( GW_Face* pFace, GW_Vertex* pOrigin, GW_Vertex* pDirection, GW_Face* pPrevFace, GW_U32 nNbrIncrement = 0 ); + + /* assignement */ + GW_VertexIterator& operator=( const GW_VertexIterator& it); + + /* evaluation */ + GW_Bool operator==( const GW_VertexIterator& it); + GW_Bool operator!=( const GW_VertexIterator& it); + + /* indirection */ + GW_Vertex* operator*( ); + + /* progression */ + void operator++(); + + GW_Face* GetLeftFace(); + GW_Face* GetRightFace(); + + GW_Vertex* GetLeftVertex(); + GW_Vertex* GetRightVertex(); + +private: + + GW_Face* pFace_; + GW_Vertex* pOrigin_; + GW_Vertex* pDirection_; + /* this is needed only for saving time on border edge */ + GW_Face* pPrevFace_; + + /** just for debug purpose */ + GW_U32 nNbrIncrement_; + +}; + +} // End namespace GW + +#endif // _GW_VERTEXITERATOR_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/gw_core.vcproj.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/gw_core.vcproj.svn-base new file mode 100644 index 0000000..8de9f4b --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/gw_core.vcproj.svn-base @@ -0,0 +1,366 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/stdafx.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/stdafx.cpp.svn-base new file mode 100644 index 0000000..509cef4 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/stdafx.cpp.svn-base @@ -0,0 +1,5 @@ +// stdafx.cpp : source file that includes just the standard includes +// gw_core.pch will be the pre-compiled header +// stdafx.obj will contain the pre-compiled type information + +#include "stdafx.h" diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/stdafx.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/stdafx.h.svn-base new file mode 100644 index 0000000..0f5e256 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/.svn/text-base/stdafx.h.svn-base @@ -0,0 +1,72 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file Stdafx.h + * \brief Include for precompiled header. + * \author Gabriel Peyré + * \date 10-26-2002 + */ +/*------------------------------------------------------------------------------*/ +#ifndef _GW_CORE_STDAFX_H_ +#define _GW_CORE_STDAFX_H_ + +#pragma once + +/* 'identifier' : identifier was truncated to 'number' characters in the debug information */ +#pragma warning( disable : 4786 ) + +//------------------------------------------------------------------------- +/** \name C++ STL */ +//------------------------------------------------------------------------- +//@{ +#include +#include +#include +#include +#include +#include +#include +using std::string; +using std::cerr; +using std::cout; +using std::endl; +//@} + +//------------------------------------------------------------------------- +/** \name classical ANSI c libraries */ +//------------------------------------------------------------------------- +//@{ +#include +#include +#include +#include +#include +#include +// #include +#include +//#include +#include +#include +//#include +//#include +//@} +#include "../gw_core/GW_MathsWrapper.h" + + +/*----------------------------------------------------------------------*/ +/* win32 #include */ +/*----------------------------------------------------------------------*/ + +#ifdef WIN32 + /** main win32 header */ +// #include +#endif // _USE_WIN32_ + + +#endif // _GW_CORE_STDAFX_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Config.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Config.cpp new file mode 100644 index 0000000..c25abf0 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Config.cpp @@ -0,0 +1,37 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Config.cpp + * \brief Definition of class \c GW_Config + * \author Gabriel Peyré + * \date 5-1-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_Config.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_Config.h" + +using namespace GW; + +string GW::gw_alinea = " * "; +string GW::gw_endl = "\n"; +FILE* GW::GW_OutputStream = NULL; + +void GW::GW_OutputComment( const char* str ) +{ + if( GW_OutputStream!=NULL ) + { + string str2 = gw_alinea + str + gw_endl; + fprintf( GW_OutputStream, str2.c_str() ); + } +} + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Config.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Config.h new file mode 100644 index 0000000..0d6280d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Config.h @@ -0,0 +1,386 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Config.h + * \brief Main configuration file. + * \author Gabriel Peyré + * \date 10-26-2002 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_CONFIG_H_ +#define _GW_CONFIG_H_ + + +// #include "stdafx.h" +#include +#include + +namespace GW { + +#define GW_VERSION 100 +#undef WIN32 +#define WIN32 + +//------------------------------------------------------------------------- +/** \name debug & inline directive */ +//------------------------------------------------------------------------- +//@{ +#ifdef _DEBUG + #ifndef GW_DEBUG + #define GW_DEBUG + #endif // GW_DEBUG +#endif // _DEBUG + +#ifndef GW_DEBUG + #ifndef GW_USE_INLINE + #define GW_USE_INLINE + #endif // GW_USE_INLINE +#endif // GW_DEBUG + +#ifdef GW_USE_INLINE + #ifndef GW_INLINE + #define GW_INLINE inline + #endif // GWION3D_INLINE +#else + #ifndef GW_INLINE + #define GW_INLINE + #endif // GW_INLINE +#endif // GW_USE_INLINE +//@} + +//------------------------------------------------------------------------- +/** \name Name space management */ +//------------------------------------------------------------------------- +//@{ +#define GW_BEGIN_NAMESPACE namespace GW { +#define GW_END_NAMESPACE } +//@} + + +//------------------------------------------------------------------------- +/** \name Basic types */ +//------------------------------------------------------------------------- +//@{ +#ifdef __UNIX__ + typedef char GW_I8; + typedef unsigned char GW_U8; + typedef short GW_I16; + typedef unsigned short GW_U16; + typedef long GW_I32; + typedef unsigned long GW_U32; + typedef long long int GW_I64; + typedef unsigned long long int GW_U64; + typedef float GW_Real32; + typedef double GW_Real64; + typedef bool GW_Bool; + typedef GW_Real64 GW_Float; +#elif defined (WIN32) + typedef char GW_I8; + typedef unsigned char GW_U8; + typedef short GW_I16; + typedef unsigned short GW_U16; + typedef long GW_I32; + typedef unsigned long GW_U32; + //typedef __int64 GW_I64; + //typedef unsigned __int64 GW_U64; + typedef float GW_Real32; + typedef double GW_Real64; + typedef bool GW_Bool; + typedef GW_Real64 GW_Float; +#elif defined (_PS2_) + typedef char GW_I8; + typedef unsigned char GW_U8; + typedef short GW_I16; + typedef unsigned short GW_U16; + typedef int GW_I32; + typedef unsigned int GW_U32; + typedef long long GW_I64; + typedef unsigned long long GW_U64; + typedef float GW_Real32; + typedef double GW_Real64; + typedef GW_I8 GW_Bool; + typedef GW_Real64 GW_Float; +#else + #error "Unknown architecture !" +#endif + + typedef void* GW_UserData; + + /** value returned by function to indicates error GW GW_OK */ + typedef GW_I32 GW_RETURN_CODE; + +//@} + +//------------------------------------------------------------------------- +/** \name numerical macros */ +//------------------------------------------------------------------------- +//@{ +#undef MIN +#undef MAX +#define MIN(a, b) ((a) < (b) ? (a) : (b)) //!< Returns the min value between a and b +#define MAX(a, b) ((a) > (b) ? (a) : (b)) //!< Returns the max value between a and b +#define MAXMAX(a,b,c) ((a) > (b) ? MAX (a,c) : MAX (b,c)) +#define GW_MIN(a, b) MIN(a,b) //!< Returns the min value between a and b +#undef GW_MAX // already defined by Windows.h ... +#define GW_MAX(a, b) MAX(a,b) //!< Returns the max value between a and b +#define GW_MAXMAX(a,b,c) MAXMAX(a,b,c) + +#define GW_SCALE_01(x,rMin,rMax) ((x-rMin)/(rMax-rMin)) + +#define GW_ABS(a) ((a) > 0 ? (a) : -(a)) //!< Returns the absolute value a + +#define SQR(x) ((x)*(x)) //!< Returns x square +#define CUBE(x) ((x)*(x)*(x)) //!< Returns x cube +#define GW_SQR(x) SQR(x) //!< Returns x square +#define GW_CUBE(x) CUBE(x) //!< Returns x cube + +#define GW_CLAMP_01(x) if( (x)<0 ) x=0; if( (x)>1 ) x=1 +#define GW_CLAMP(x, a,b) if( (x)b ) x=b + +#define GW_SWAP(x,y) x^=y; y^=x; x^=y +#define GW_ORDER(x,y) if(x>y){ GW_SWAP(x,y); } +//@} + +//------------------------------------------------------------------------- +/** \name generic macros */ +//------------------------------------------------------------------------- +//@{ +/** a random number in [0-1] */ +#undef GW_RAND +#define GW_RAND ((GW_Float) (rand()%10000))/10000 +/** a random number in [a,b] */ +#define GW_RAND_RANGE(a,b) (a)+((b)-(a))*((GW_Float) (rand()%10000))/10000 +/** delete a single pointer */ +#define GW_DELETE(p) {if (p!=NULL) delete p; p=NULL;} +/** delete an array pointer */ +#define GW_DELETEARRAY(p) {if (p!=NULL) delete [] p; p=NULL;} +//@} + +//------------------------------------------------------------------------- +/** \name some constants */ +//------------------------------------------------------------------------- +//@{ +#define GW_True true +#define GW_False false +/** to make aproximate computations (derivation, GW_Float comparaisons ...) */ +#define GW_EPSILON 1e-9 +/** very big number */ +#define GW_INFINITE 1e9 +/** space coords */ +enum GW_Coord_XYZW { X, Y, Z, W }; +/** color coords */ +enum GW_Coord_RVBA { R, V, B, A }; +/** The temporary file we use to launch debug test involving stream I/O */ +#define GW_TEST_FILE "test.bin" +//@} + +//------------------------------------------------------------------------- +/** \name numerical constants */ +//------------------------------------------------------------------------- +//@{ +/** pi */ +#define GW_PI 3.1415926535897932384626433832795028841971693993751f +/** pi/2 */ +#define GW_HALFPI 1.57079632679489661923f +/** 2*pi */ +#define GW_TWOPI 6.28318530717958647692f +/** 1/pi */ +#define GW_INVPI 0.31830988618379067154f +/** 180/pi */ +#define GW_RADTODEG(x) (x)*57.2957795130823208768f +/** pi/180 */ +#define GW_DEGTORAD(x) (x)*0.01745329251994329577f +/** e */ +#define GW_EXP 2.71828182845904523536f +/** 1/log10(2) */ +#define GW_ILOG2 3.32192809488736234787f +/** 1/3 */ +#define GW_INV3 0.33333333333333333333f +/** 1/6 */ +#define GW_INV6 0.16666666666666666666f +/** 1/9 */ +#define GW_INV7 0.14285714285714285714f +/** 1/9 */ +#define GW_INV9 0.11111111111111111111f +/** 1/255 */ +#define GW_INV255 0.00392156862745098039f +/** sqrt(2) */ +#define GW_SQRT2 1.41421356237f +//@} + +//------------------------------------------------------------------------- +/** \name assertion macros */ +//------------------------------------------------------------------------- +//@{ +#ifdef GW_DEBUG + #define GW_ASSERT(expr) _ASSERT(expr) + #define GW_DEBUG_ONLY(expr) expr +#else + #define GW_ASSERT(expr) // if(!(expr)) cerr << "Error in file " << __FILE__ << " line " << __LINE__ << "." << endl + #define GW_DEBUG_ONLY(expr) +#endif // GW_DEBUG +//@} + +//------------------------------------------------------------------------- +/** \name GW return codes */ +//------------------------------------------------------------------------- +//@{ +#define GW_OK 0 +#define GW_ERROR -9 +#define GW_Invalid_Argument -10 +#define GW_Unknown_Argument -11 +#define GW_Error_Opening_File -14 +#define GW_Error_File_Not_Supported -15 +#define GW_Error_Argument_OutOfRange -17 +#define GW_Error_Buffer_OverFlow -18 +//@} + +//------------------------------------------------------------------------- +/** \name The different kind of transform we suppport for the moment. */ +//------------------------------------------------------------------------- +//@{ +enum T_WaveletTransformType +{ + T_IntegralDataChunk +}; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_Float */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_FloatVector; +typedef T_FloatVector::iterator IT_FloatVector; +typedef T_FloatVector::reverse_iterator RIT_FloatVector; +typedef T_FloatVector::const_iterator CIT_FloatVector; +typedef T_FloatVector::const_reverse_iterator CRIT_FloatVector; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_Float */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_FloatMap; +typedef T_FloatMap::iterator IT_FloatMap; +typedef T_FloatMap::reverse_iterator RIT_FloatMap; +typedef T_FloatMap::const_iterator CIT_FloatMap; +typedef T_FloatMap::const_reverse_iterator CRIT_FloatMap; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a list of string */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::list T_StringList; +typedef T_StringList::iterator IT_StringList; +typedef T_StringList::reverse_iterator RIT_StringList; +typedef T_StringList::const_iterator CIT_StringList; +typedef T_StringList::const_reverse_iterator CRIT_StringList; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a vector of string */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_StringVector; +typedef T_StringVector::iterator IT_StringVector; +typedef T_StringVector::reverse_iterator RIT_StringVector; +typedef T_StringVector::const_iterator CIT_StringVector; +typedef T_StringVector::const_reverse_iterator CRIT_StringVector; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_U32 */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_U32Map; +typedef T_U32Map::iterator IT_U32Map; +typedef T_U32Map::reverse_iterator RIT_U32Map; +typedef T_U32Map::const_iterator CIT_U32Map; +typedef T_U32Map::const_reverse_iterator CRIT_U32Map; +//@} + + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_U32 */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_U32Vector; +typedef T_U32Vector::iterator IT_U32Vector; +typedef T_U32Vector::reverse_iterator RIT_U32Vector; +typedef T_U32Vector::const_iterator CIT_U32Vector; +typedef T_U32Vector::const_reverse_iterator CRIT_U32Vector; +//@} + + + +//------------------------------------------------------------------------- +/** \name Tests for maths operations. */ +//------------------------------------------------------------------------- +//@{ +inline +void TestMathBit() +{ +#if 0 + GW_U32 bit = _clearfp(); + if( bit>1 ) + { +// GW_ASSERT(GW_False); + if( (bit&_SW_UNDERFLOW)==_SW_UNDERFLOW ) + cerr << "Math operation problem : underflow." << endl; + if( (bit&_SW_OVERFLOW)==_SW_OVERFLOW ) + cerr << "Math operation problem : overflow." << endl; + if( (bit&_SW_ZERODIVIDE)==_SW_ZERODIVIDE ) + cerr << "Math operation problem : zero divide." << endl; + if( (bit&_SW_INVALID)==_SW_INVALID ) + cerr << "Math operation problem : invalid." << endl; + } +#endif +} + +#ifdef GW_DEBUG + #define GW_CHECK_MATHSBIT() TestMathBit() +#else + #define GW_CHECK_MATHSBIT() +#endif // GW_DEBUG +//@} + + +/** callback that informs on the evolution of an algorithm */ +typedef void (*T_EvolutionCallback)( GW_Float rPerCent, const char* message ); + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_NodeMap */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_NodeMapVector; +typedef T_NodeMapVector::iterator IT_NodeMapVector; +typedef T_NodeMapVector::reverse_iterator RIT_NodeMapVector; +typedef T_NodeMapVector::const_iterator CIT_NodeMapVector; +typedef T_NodeMapVector::const_reverse_iterator CRIT_NodeMapVector; +//@} + +//------------------------------------------------------------------------- +/** \name output direction. */ +//------------------------------------------------------------------------- +//@{ +extern string gw_alinea; +extern string gw_endl; +extern FILE* GW_OutputStream; + + +void GW_OutputComment( const char* str ); +//@} + + +} // End namespace GW + +#ifdef GW_DEBUG +#define new new(_NORMAL_BLOCK,__FILE__, __LINE__) +#endif + +#endif // _GW_CONFIG_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (C) 2009 Gabriel Peyre diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Face.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Face.cpp new file mode 100644 index 0000000..466c739 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Face.cpp @@ -0,0 +1,67 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Face.cpp + * \brief Definition of class \c GW_Face + * \author Gabriel Peyré + * \date 2-15-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_Face.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_Face.h" +#include "GW_Mesh.h" + +#ifndef GW_USE_INLINE + #include "GW_Face.inl" +#endif + +using namespace GW; + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::operator= +/** + * \param Face [GW_Face&] Face + * \return [GW_Face&] *this + * \author Gabriel Peyré + * \date 1-13-2004 + * + * Copy operator + */ +/*------------------------------------------------------------------------------*/ +GW_Face& GW_Face::operator=(const GW_Face& Face) +{ + this->nID_ = Face.nID_; + return *this; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetArea +/** + * \return [GW_Float] The area. + * \author Gabriel Peyré + * \date 5-30-2003 + * + * Compute the area of the face. + */ +/*------------------------------------------------------------------------------*/ +GW_Float GW_Face::GetArea() +{ + if( Vertex_[0]==NULL ) return 0; + if( Vertex_[1]==NULL ) return 0; + if( Vertex_[2]==NULL ) return 0; + GW_Vector3D e1 = this->GetVertex(1)->GetPosition() - this->GetVertex(0)->GetPosition(); + GW_Vector3D e2 = this->GetVertex(2)->GetPosition() - this->GetVertex(0)->GetPosition(); + return 0.5*GW_ABS( ~(e1^e2) ); +} + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Face.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Face.h new file mode 100644 index 0000000..f931ffb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Face.h @@ -0,0 +1,150 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Face.h + * \brief Definition of class \c GW_Face + * \author Gabriel Peyré + * \date 2-12-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_FACE_H_ +#define _GW_FACE_H_ + +#include "GW_Config.h" +#include "GW_SmartCounter.h" +#include "GW_Vertex.h" +#include "GW_FaceIterator.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_Face + * \brief A triangle, with its three vertex and its three neighbors. + * \author Gabriel Peyré + * \date 2-12-2003 + * + * We use smart counter to check wether the face should descallocate a + * vertex. + * + * For vertex processing, a face is responsible for the vertex that caries + * a pointer on it. In fact, each vertex has a pointer on a single face + * that is responsible for that vertex. + * + * Vertex, face and edge are labeled in a consistant way. + * This means : + * - edge are labeled by the number of the opposite vertex. + * - neighbor faces are labeled by the edge number, i.e. by the opposite vertex number. + * + * We refer to these number as "edge number". + */ +/*------------------------------------------------------------------------------*/ + +class GW_Face: public GW_SmartCounter +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_Face(); + virtual ~GW_Face(); + virtual GW_Face& operator=(const GW_Face& Face); + //@} + + //------------------------------------------------------------------------- + /** \name Accessors */ + //------------------------------------------------------------------------- + //@{ + void SetFaceNeighbor(GW_Face* pFace, GW_U32 nEdgeNum); + void SetFaceNeighbor(GW_Face* pFace1, GW_Face* pFace2, GW_Face* pFace3); + GW_Face* GetFaceNeighbor( GW_U32 nEdgeNum ); + const GW_Face* GetFaceNeighbor( GW_U32 nEdgeNum ) const; + GW_Face* GetFaceNeighbor( const GW_Vertex& Vert); + GW_Face* GetFaceNeighbor( const GW_Vertex& Vert1, const GW_Vertex& Vert2 ); + + void SetVertex(GW_Vertex& Vert, GW_U32 nNum); + void SetVertex(GW_Vertex& Vert1, GW_Vertex& Vert2, GW_Vertex& Vert3); + GW_Vertex* GetVertex( GW_U32 nNum ); + const GW_Vertex* GetVertex( GW_U32 nNum ) const; + GW_Vertex* GetVertex( const GW_Vertex& Vert1, const GW_Vertex& Vert2 ); + GW_Vertex* GetNextVertex( const GW_Vertex& Vert ); + + GW_I32 GetEdgeNumber( const GW_Face& Face ); + GW_I32 GetEdgeNumber( const GW_Vertex& Vert ); + GW_I32 GetEdgeNumber( const GW_Vertex& Vert1, const GW_Vertex& Vert2 ); + + GW_Bool IsResponsibleFor( GW_U32 nNum ); + + void SetID(GW_U32 nID); + GW_U32 GetID() const; + + GW_Float GetArea(); + GW_Vector3D ComputeNormal(); + //@} + +private: + + /** our defining vertex */ + GW_Vertex* Vertex_[3]; + /** the 2 faces arround us */ + GW_Face* FaceNeighbors_[3]; + /** The ID the face, given by the Mesh. Should be in the range [0,...,NbrVertex] */ + GW_U32 nID_; + +}; + +/*------------------------------------------------------------------------------*/ +/** \name a list of GW_Face */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::list T_FaceList; +typedef T_FaceList::iterator IT_FaceList; +typedef T_FaceList::reverse_iterator RIT_FaceList; +typedef T_FaceList::const_iterator CIT_FaceList; +typedef T_FaceList::const_reverse_iterator CRIT_FaceList; +//@} + + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_Face */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_FaceVector; +typedef T_FaceVector::iterator IT_FaceVector; +typedef T_FaceVector::reverse_iterator RIT_FaceVector; +typedef T_FaceVector::const_iterator CIT_FaceVector; +typedef T_FaceVector::const_reverse_iterator CRIT_FaceVector; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_Face */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_FaceMap; +typedef T_FaceMap::iterator IT_FaceMap; +typedef T_FaceMap::reverse_iterator RIT_FaceMap; +typedef T_FaceMap::const_iterator CIT_FaceMap; +typedef T_FaceMap::const_reverse_iterator CRIT_FaceMap; +//@} + + + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_Face.inl" +#endif + + +#endif // _GW_FACE_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Face.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Face.inl new file mode 100644 index 0000000..7f86c70 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Face.inl @@ -0,0 +1,455 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Face.inl + * \brief Inlined methods for \c GW_Face + * \author Gabriel Peyré + * \date 2-15-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_Face.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face constructor +/** + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Face::GW_Face() +{ + for( GW_U32 i=0; i<3; ++i ) + { + Vertex_[i] = NULL; + FaceNeighbors_[i] = NULL; + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::virtual ~GW_Face +/** + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Face::~GW_Face() +{ + for( GW_U32 i=0; i<3; ++i ) + GW_SmartCounter::CheckAndDelete( Vertex_[i] ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::SetFaceNeighbor +/** + * \param pFace [GW_Face*] The face. Can be NULL for border faces. + * \param nEdgeNum [GW_U32] The number of the edge we are sharing with this face. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Set one of the neigbhoring faces. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Face::SetFaceNeighbor(GW_Face* pFace, GW_U32 nEdgeNum) +{ + GW_ASSERT( nEdgeNum<3 ); + FaceNeighbors_[nEdgeNum] = pFace; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::SetFaceNeighbor +/** + * \param pFace1 [GW_Face*] face 0 + * \param pFace2 [GW_Face*] face 1 + * \param pFace3 [GW_Face*] face 2 + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Assign the 3 face in one time. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Face::SetFaceNeighbor(GW_Face* pFace0, GW_Face* pFace1, GW_Face* pFace2) +{ + this->SetFaceNeighbor( pFace0, 0 ); + this->SetFaceNeighbor( pFace1, 1 ); + this->SetFaceNeighbor( pFace2, 2 ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetFaceNeighbor +/** + * \param nEdgeNum [GW_U32] number of the face. + * \return [GW_Face*] The face. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get one of the face neighbor + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Face* GW_Face::GetFaceNeighbor(GW_U32 nEdgeNum) +{ + GW_ASSERT( nEdgeNum<3 ); + return FaceNeighbors_[nEdgeNum]; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetFaceNeighbor +/** +* \param nEdgeNum [GW_U32] number of the face. +* \return [GW_Face*] The face. +* \author Gabriel Peyré +* \date 2-15-2003 +* +* Get one of the face neighbor +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +const GW_Face* GW_Face::GetFaceNeighbor(GW_U32 nEdgeNum) const +{ + GW_ASSERT( nEdgeNum<3 ); + return FaceNeighbors_[nEdgeNum]; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetFaceNeighbor +/** + * \param Vert [GW_Vertex&] The vertex. + * \return [GW_Face*] The face. Can be NULL if correct vertex not found. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Return the neighboring face in front of the given vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Face* GW_Face::GetFaceNeighbor(const GW_Vertex& Vert) +{ + for( GW_U32 i=0; i<3; ++i ) + { + if( Vertex_[i]==&Vert ) + return FaceNeighbors_[i]; + } + return NULL; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetFaceNeighbor +/** +* \param Vert1 [GW_Vertex&] first vertex of the edge. +* \param Vert2 [GW_Vertex&] Second one. +* \return [GW_Face*] The face. Can be NULL if correct vertex not found. +* \author Gabriel Peyré +* \date 2-15-2003 +* +* Return the neighboring face in front of the given vertex. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Face* GW_Face::GetFaceNeighbor( const GW_Vertex& Vert1, const GW_Vertex& Vert2 ) +{ + GW_I32 nEdge = this->GetEdgeNumber( Vert1, Vert2 ); + if( nEdge<0 ) + return NULL; + return this->GetFaceNeighbor( nEdge ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::SetVertex +/** + * \param Vert [GW_Vertex&] The new vertex. + * \param nNum [GW_U32] Its number. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Set the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Face::SetVertex(GW_Vertex& Vert, GW_U32 nNum) +{ + GW_ASSERT( nNum<3 ); + /* check the previous one, delete it if needed */ + GW_SmartCounter::CheckAndDelete( Vertex_[nNum] ); + + if( Vert.GetFace()==NULL ) + Vert.SetFace( *this ); + + Vertex_[nNum] = ‖ + Vert.UseIt(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::SetVertex +/** + * \param Vert0 [GW_Vertex&] vertex 0 + * \param Vert1 [GW_Vertex&] vertex 1 + * \param Vert2 [GW_Vertex&] vertex 2 + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Set all vertex in once. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Face::SetVertex(GW_Vertex& Vert0, GW_Vertex& Vert1, GW_Vertex& Vert2) +{ + this->SetVertex( Vert0, 0 ); + this->SetVertex( Vert1, 1 ); + this->SetVertex( Vert2, 2 ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetVertex +/** + * \param nNum [GW_U32] The number of the vertex. + * \return [GW_Vertex*] the vertex. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get one of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vertex* GW_Face::GetVertex(GW_U32 nNum) +{ + GW_ASSERT( nNum<3 ); + return Vertex_[nNum]; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetVertex +/** +* \param nNum [GW_U32] The number of the vertex. +* \return [GW_Vertex*] the vertex. +* \author Gabriel Peyré +* \date 2-15-2003 +* +* Get one of the vertex. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +const GW_Vertex* GW_Face::GetVertex(GW_U32 nNum) const +{ + GW_ASSERT( nNum<3 ); + return Vertex_[nNum]; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetVertex +/** + * \param Vert1 [GW_Vertex&] first vertex of the edge. + * \param Vert2 [GW_Vertex&] Second one. + * \return [GW_Vertex*] the vertex. can be NULL if edge doesn't exist. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get the vertex in front of a given edge. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vertex* GW_Face::GetVertex( const GW_Vertex& Vert1, const GW_Vertex& Vert2 ) +{ + GW_I32 nEdge = this->GetEdgeNumber( Vert1, Vert2 ); + if( nEdge<0 ) + return NULL; + return this->GetVertex( nEdge ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetNextVertex +/** + * \param Vert [GW_Vertex&] The vertex. + * \return [GW_Vertex*] The next one. + * \author Gabriel Peyré + * \date 4-1-2003 + * + * Get the vertex following the one given by the user. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vertex* GW_Face::GetNextVertex( const GW_Vertex& Vert ) +{ + for( GW_U32 i=0; i<3; ++i ) + { + if( Vertex_[i]==&Vert ) + return Vertex_[(i+1)%3]; + } + return NULL; +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetEdgeNumber +/** + * \param Face [GW_Face&] The neighbor face. + * \return [GW_I32] The numer. Return -1 if not found. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get the number of the edge whose neighbor face is given. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_I32 GW_Face::GetEdgeNumber( const GW_Face& Face ) +{ + for( GW_U32 i=0; i<3; ++i ) + { + if( FaceNeighbors_[i]==&Face ) + return i; + } + return -1; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetEdgeNumber +/** + * \param Vert [GW_Vertex&] The vertex. + * \return [GW_I32] The number. Return -1 if not found. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Return the number of the edge in front of the given vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_I32 GW_Face::GetEdgeNumber( const GW_Vertex& Vert ) +{ + for( GW_U32 i=0; i<3; ++i ) + { + if( Vertex_[i]==&Vert ) + return i; + } + return -1; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetEdgeNumber +/** + * \param Vert1 [GW_Vertex&] vertex 1 + * \param Vert2 [GW_Vertex&] vertex 2 + * \return [GW_I32] The number. Return -1 if not found. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Return the number of the edge corresponding to the two given + * vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_I32 GW_Face::GetEdgeNumber( const GW_Vertex& Vert1, const GW_Vertex& Vert2 ) +{ + for( GW_U32 i=0; i<3; ++i ) + { + if( Vertex_[i]==&Vert1 ) + { + if( Vertex_[(i+1)%3]==&Vert2 ) + return (i+2)%3; + if( Vertex_[(i+2)%3]==&Vert2 ) + return (i+1)%3; + } + } + return NULL; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::IsResponsibleFor +/** + * \param nNum [GW_U32] number of the vertex + * \return [GW_Bool] yes/no ? + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Return true if we are the parent of a given vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Bool GW_Face::IsResponsibleFor( GW_U32 nNum ) +{ + GW_ASSERT( nNum<3 );; + if( Vertex_[nNum]==NULL ) + return GW_False; + return Vertex_[nNum]->GetFace()==this; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::SetID +/** +* \param nID [GW_U32] New ID +* \author Gabriel Peyré +* \date 3-31-2003 +* +* Set the number of the face in the mesh. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Face::SetID(GW_U32 nID) +{ + nID_ = nID; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::GetID +/** +* \return [GW_U32] The ID +* \author Gabriel Peyré +* \date 3-31-2003 +* +* Get the ID of the face. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_U32 GW_Face::GetID() const +{ + return nID_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Face::ComputeNormal +/** + * \return [GW_Vector3D] The normal. + * \author Gabriel Peyré + * \date 7-6-2003 + * + * Compute the normal of the face. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vector3D GW_Face::ComputeNormal() +{ + GW_ASSERT( Vertex_[0]!=NULL ); + GW_ASSERT( Vertex_[1]!=NULL ); + GW_ASSERT( Vertex_[2]!=NULL ); + GW_Vector3D& v0 = Vertex_[0]->GetPosition(); + GW_Vector3D& v1 = Vertex_[1]->GetPosition(); + GW_Vector3D& v2 = Vertex_[2]->GetPosition(); + GW_Vector3D n = (v1-v0)^(v2-v0); + n.Normalize(); + return n; +} + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_FaceIterator.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_FaceIterator.cpp new file mode 100644 index 0000000..a165915 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_FaceIterator.cpp @@ -0,0 +1,166 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_FaceIterator.cpp + * \brief Definition of class \c GW_FaceIterator + * \author Gabriel Peyré + * \date 4-1-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_FaceIterator.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_FaceIterator.h" +#include "GW_Face.h" + +using namespace GW; + +GW_FaceIterator::GW_FaceIterator( GW_Face* pFace, GW_Vertex* pOrigin, GW_Vertex* pDirection, GW_U32 nNbrIncrement ) +: pFace_ ( pFace), + pOrigin_ ( pOrigin ), + pDirection_ ( pDirection ), + nNbrIncrement_ ( nNbrIncrement ) +{ } + +/* assignement */ +GW_FaceIterator& GW_FaceIterator::operator=( const GW_FaceIterator& it) +{ + this->pFace_ = it.pFace_; + this->pOrigin_ = it.pOrigin_; + this->pDirection_ = it.pDirection_; + this->nNbrIncrement_= it.nNbrIncrement_; + return *this; +} + +/* egality */ +GW_Bool GW_FaceIterator::operator==( const GW_FaceIterator& it) +{ + return (this->pFace_==it.pFace_) + && (this->pOrigin_==it.pOrigin_) + && (this->pDirection_==it.pDirection_); +} + +/* egality */ +GW_Bool GW_FaceIterator::operator!=( const GW_FaceIterator& it) +{ + return (this->pFace_!=it.pFace_) + || (this->pOrigin_!=it.pOrigin_) + || (this->pDirection_!=it.pDirection_); +} + + +/* dereference */ +GW_Face* GW_FaceIterator::operator*( ) +{ + return this->pFace_; +} + +/* progression : \todo take in acount NULL pointer */ +void GW_FaceIterator::operator++() +{ + if( nNbrIncrement_>100 ) + { + GW_ASSERT( GW_False ); + (*this) = GW_FaceIterator(NULL,NULL,NULL); + return; + } + + if( pFace_!=NULL && pDirection_!=NULL && pOrigin_!=NULL ) + { + GW_Face* pNextFace = pFace_->GetFaceNeighbor( *pDirection_ ); + /* check for end() */ + if( pNextFace==pOrigin_->GetFace() ) + { + (*this) = GW_FaceIterator(NULL,NULL,NULL); + } + else + { + if( pNextFace==NULL ) + { + /* we are on a border face : Rewind on the first face */ + GW_Face* pPrevFace = pFace_; + pDirection_ = pFace_->GetVertex( *pDirection_, *pOrigin_ ); // get rewind direction + GW_ASSERT( pDirection_!=NULL ); + + GW_U32 nIter = 0; + do + { + pFace_ = pPrevFace; + pPrevFace = pPrevFace->GetFaceNeighbor( *pDirection_ ); + pDirection_ = pFace_->GetVertex( *pOrigin_, *pDirection_ ); // next direction + nIter++; + GW_ASSERT( nIter<20 ); + if( nIter>=20 ) + { + // this is on non-manifold ... + (*this) = GW_FaceIterator(NULL,NULL,NULL); + return; + } + + } + while( pPrevFace!=NULL ); + + if( pFace_==pOrigin_->GetFace() ) + { + // we are on End. + (*this) = GW_FaceIterator(NULL,NULL,NULL); + } + else + { + GW_ASSERT( pDirection_!=NULL ); + (*this) = GW_FaceIterator( pFace_, pOrigin_, pDirection_, nNbrIncrement_+1 ); + } + return; + } + GW_Vertex* pNextDirection = pFace_->GetVertex( *pOrigin_, *pDirection_ ); + GW_ASSERT( pNextDirection!=NULL ); + (*this) = GW_FaceIterator( pNextFace, pOrigin_, pNextDirection, nNbrIncrement_+1 ); + } + } + else + { + (*this) = GW_FaceIterator(NULL,NULL,NULL); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_FaceIterator::GetLeftVertex +/** + * \return [GW_Vertex*] The vertex. + * \author Gabriel Peyré + * \date 5-6-2003 + * + * Get the vertex on the left. + */ +/*------------------------------------------------------------------------------*/ +GW_Vertex* GW_FaceIterator::GetLeftVertex() +{ + return pDirection_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_FaceIterator::GetRightVertex +/** +* \return [GW_Vertex*] The vertex. +* \author Gabriel Peyré +* \date 5-6-2003 +* +* Get the vertex on the right. +*/ +/*------------------------------------------------------------------------------*/ +GW_Vertex* GW_FaceIterator::GetRightVertex() +{ + if( pFace_==NULL ) + return NULL; + return pFace_->GetVertex( *pDirection_, *pOrigin_ ); +} + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_FaceIterator.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_FaceIterator.h new file mode 100644 index 0000000..caf3700 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_FaceIterator.h @@ -0,0 +1,76 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_FaceIterator.h + * \brief Definition of class \c GW_FaceIterator + * \author Gabriel Peyré + * \date 4-1-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_FACEITERATOR_H_ +#define _GW_FACEITERATOR_H_ + +#include "GW_Config.h" + + +namespace GW { + +class GW_Face; +class GW_Vertex; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_FaceIterator + * \brief Iterator on a group of face surounding a vertex. + * \author Gabriel Peyré + * \date 4-1-2003 + * + * Usefull iterator. + */ +/*------------------------------------------------------------------------------*/ + +class GW_FaceIterator +{ +public: + + GW_FaceIterator( GW_Face* pFace, GW_Vertex* pOrigin, GW_Vertex* pDirection, GW_U32 nNbrIncrement = 0 ); + + /* assignement */ + GW_FaceIterator& operator=( const GW_FaceIterator& it); + + /* evaluation */ + GW_Bool operator==( const GW_FaceIterator& it); + GW_Bool operator!=( const GW_FaceIterator& it); + + /* indirection */ + GW_Face* operator*( ); + + /* progression : \todo take in acount NULL pointer */ + void operator++(); + + GW_Vertex* GetLeftVertex(); + GW_Vertex* GetRightVertex(); + +private: + + GW_Face* pFace_; + GW_Vertex* pOrigin_; + GW_Vertex* pDirection_; + + /** just for debug purpose */ + GW_U32 nNbrIncrement_; +}; + +} // End namespace GW + + + +#endif // _GW_FACEITERATOR_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_MathsWrapper.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_MathsWrapper.h new file mode 100644 index 0000000..73a873e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_MathsWrapper.h @@ -0,0 +1,73 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_MathsWrapper.h + * \brief Definition of class \c GW_MathsWrapper + * \author Gabriel Peyré + * \date 6-8-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_MATHSWRAPPER_H_ +#define _GW_MATHSWRAPPER_H_ + +#include "GW_Config.h" +#include "../gw_maths/GW_Maths.h" // here +#include "../gw_maths/GW_Vector2D.h" +#include "../gw_maths/GW_Vector3D.h" +//#include "../gw_maths/GW_VectorND.h" +//#include "../gw_maths/GW_Matrix3x3.h" +//#include "../gw_maths/GW_MatrixNxP.h" +//#include "../gw_maths/GW_SparseMatrix.h" + +namespace GW { + + + +/*------------------------------------------------------------------------------*/ +/** \name a list of GW_Vector2D */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::list T_Vector2DList; +typedef T_Vector2DList::iterator IT_Vector2DList; +typedef T_Vector2DList::reverse_iterator RIT_Vector2DList; +typedef T_Vector2DList::const_iterator CIT_Vector2DList; +typedef T_Vector2DList::const_reverse_iterator CRIT_Vector2DList; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_Vector2D */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_Vector2DVector; +typedef T_Vector2DVector::iterator IT_Vector2DVector; +typedef T_Vector2DVector::reverse_iterator RIT_Vector2DVector; +typedef T_Vector2DVector::const_iterator CIT_Vector2DVector; +typedef T_Vector2DVector::const_reverse_iterator CRIT_Vector2DVector; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_Vector2D */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_Vector2DMap; +typedef T_Vector2DMap::iterator IT_Vector2DMap; +typedef T_Vector2DMap::reverse_iterator RIT_Vector2DMap; +typedef T_Vector2DMap::const_iterator CIT_Vector2DMap; +typedef T_Vector2DMap::const_reverse_iterator CRIT_Vector2DMap; +//@} + + + +} // End namespace GW + + + + +#endif // _GW_MATHSWRAPPER_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Mesh.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Mesh.cpp new file mode 100644 index 0000000..5b141f9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Mesh.cpp @@ -0,0 +1,947 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Mesh.cpp + * \brief Definition of class \c GW_Mesh + * \author Gabriel Peyré + * \date 2-15-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_Mesh.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_Mesh.h" +#include "GW_VertexIterator.h" + +#ifndef GW_USE_INLINE + #include "GW_Mesh.inl" +#endif + +using namespace GW; + +GW_Mesh* GW_Mesh::pStaticThis_ = NULL; + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::operator= +/** + * \param v [GW_Mesh&] Mesh. + * \return [GW_Mesh&] *this + * \author Gabriel Peyré + * \date 1-13-2004 + * + * Copy operator. + */ +/*------------------------------------------------------------------------------*/ +GW_Mesh& GW_Mesh::operator=(const GW_Mesh& Mesh) +{ + this->SetNbrVertex( Mesh.GetNbrVertex() ); + this->SetNbrFace( Mesh.GetNbrFace() ); + + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + if( this->GetVertex(i)==NULL ) + { + GW_Vertex& NewVert = this->CreateNewVertex(); + this->SetVertex(i, &NewVert); + } + GW_Vertex& NewVert = *this->GetVertex(i); + const GW_Vertex& OriginalVert = *Mesh.GetVertex(i); + NewVert = OriginalVert; + /* resolve face attachement */ + const GW_Face* pFace = OriginalVert.GetFace(); + if( pFace!=NULL ) + NewVert.SetFace( *this->GetFace( pFace->GetID() ) ); + } + for( GW_U32 i=0; iGetNbrFace(); ++i ) + { + if( this->GetFace(i)==NULL ) + { + GW_Face& NewFace = this->CreateNewFace(); + this->SetFace(i, &NewFace); + } + GW_Face& NewFace = *this->GetFace(i); + const GW_Face& OriginalFace = *Mesh.GetFace(i); + NewFace = OriginalFace; + /* resolve Vertex and neighbor */ + for( GW_U32 j=0; j<3; ++j ) + { + GW_U32 VertID = OriginalFace.GetVertex(j)->GetID(); + NewFace.SetVertex( *this->GetVertex(VertID), j ); + const GW_Face* pNeigh = OriginalFace.GetFaceNeighbor(j); + if( pNeigh==NULL ) + NewFace.SetFaceNeighbor(NULL, j); + else + NewFace.SetFaceNeighbor( this->GetFace( pNeigh->GetID() ), j); + } + } + + return *this; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::SetNbrFace +/** + * \param nNum [GW_U32] New number of faces. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Resize the mesh. + */ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::SetNbrFace( GW_U32 nNum ) +{ + GW_U32 nOldSize = this->GetNbrFace(); + if( nNumGetFace( i ) ); + FaceVector_.resize( nNum ); + } + if( nNum>nOldSize ) + { + FaceVector_.resize( nNum ); + /* set to NULL newly appended pointers */ + for( GW_U32 i=nOldSize; iSetFace( i, NULL ); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::SetNbrVertex +/** + * \param nNum [GW_U32] New number of vertex. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Resize the mesh. + */ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::SetNbrVertex( GW_U32 nNum ) +{ + GW_U32 nOldSize = this->GetNbrVertex(); + if( nNumGetVertex( i ) ); + VertexVector_.resize( nNum ); + } + if( nNum>nOldSize ) + { + VertexVector_.resize( nNum ); + /* set to NULL newly appended pointers */ + for( GW_U32 i=nOldSize; iSetVertex( i, NULL ); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetBoundingRadius +/** + * \return [GW_Float] Radius. + * \author Gabriel Peyré + * \date 4-1-2003 + * + * Get the maximum distance from (0,0,0) + */ +/*------------------------------------------------------------------------------*/ +GW_Float GW_Mesh::GetBoundingRadius() +{ + GW_Float rRadius = 0; + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + if( this->GetVertex(i)!=NULL ) + rRadius = GW_MAX(this->GetVertex(i)->GetPosition().SquareNorm(), rRadius); + } + + return (GW_Float) sqrt(rRadius); +} + + +void GW_Mesh::GetBoundingBox( GW_Vector3D& min, GW_Vector3D& max ) +{ + min.SetValue( GW_INFINITE ); + max.SetValue( -GW_INFINITE ); + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + if( this->GetVertex(i)!=NULL ) + { + GW_Vector3D& pos = this->GetVertex(i)->GetPosition(); + min[0] = GW_MIN( min[0], pos[0] ); + min[1] = GW_MIN( min[1], pos[1] ); + min[2] = GW_MIN( min[2], pos[2] ); + max[0] = GW_MAX( max[0], pos[0] ); + max[1] = GW_MAX( max[1], pos[1] ); + max[2] = GW_MAX( max[2], pos[2] ); + } + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetBarycenter +/** +* \return [GW_Vector3D] The iso-barycenter of the mesh. +* \author Gabriel Peyré +* \date 4-1-2003 +* +* Get the maximum distance from (0,0,0). +*/ +/*------------------------------------------------------------------------------*/ +GW_Vector3D GW_Mesh::GetBarycenter() +{ + GW_Vector3D Barycenter; + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + if( this->GetVertex(i)!=NULL ) + Barycenter += this->GetVertex(i)->GetPosition(); + } + + if( this->GetNbrVertex()>0 ) + Barycenter /= (GW_Float) this->GetNbrVertex(); + return Barycenter; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::ScaleVertex +/** + * \param rScale [GW_Float] Scaling factor + * \author Gabriel Peyré + * \date 4-1-2003 + * + * Scale each vertex. + */ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::ScaleVertex( GW_Float rScale ) +{ + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + if( this->GetVertex(i)!=NULL ) + this->GetVertex(i)->GetPosition() *= rScale; + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::TranslateVertex +/** +* \param Vect [GW_Float] Translation vector. +* \author Gabriel Peyré +* \date 4-1-2003 +* +* Scale each vertex. +*/ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::TranslateVertex( const GW_Vector3D& Vect ) +{ + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + if( this->GetVertex(i)!=NULL ) + this->GetVertex(i)->GetPosition() += Vect; + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::BuildNormal +/** + * \author Gabriel Peyré + * \date 4-1-2003 + * + * Compute vertex normals form faces. + */ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::BuildRawNormal() +{ + for( IT_VertexVector it=VertexVector_.begin(); it!=VertexVector_.end(); ++it ) + { + GW_Vertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + pVert->BuildRawNormal(); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::BuildCurvatureData +/** + * \author Gabriel Peyré + * \date 4-2-2003 + * + * Compute all curvature data using comlex schemes. This includes + * normal, curvatures and curvature directions. + */ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::BuildCurvatureData() +{ + for( IT_VertexVector it=VertexVector_.begin(); it!=VertexVector_.end(); ++it ) + { + GW_Vertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + pVert->BuildCurvatureData(); + } + + GW_Float rArea = this->GetArea(); + GW_Float rTotalArea = GW_Vertex::rTotalArea_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::BuildConnectivity +/** +* \author Gabriel Peyré +* \date 3-28-2003 +* +* Call this method when you have set the vertex and the face. +* This will set up the neighboorhood for each face. +*/ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::BuildConnectivity() +{ + T_FaceList* VertexToFaceMap = new T_FaceList[this->GetNbrVertex()]; + + /* build the inverse map vertex->face */ + for( IT_FaceVector it = FaceVector_.begin(); it!=FaceVector_.end(); ++it ) + { + GW_Face* pFace = *it; + GW_ASSERT( pFace!=NULL ); + for( GW_U32 i=0; i<3; ++i ) + { + GW_Vertex* pVert = pFace->GetVertex(i); + GW_ASSERT(pVert!=NULL); + GW_ASSERT( pVert->GetID() <= this->GetNbrVertex() ); + VertexToFaceMap[pVert->GetID()].push_back( pFace ); + } + } + /* now we can set up connectivity */ + for( IT_FaceVector it=FaceVector_.begin(); it!=FaceVector_.end(); ++it ) + { + GW_Face* pFace = *it; + GW_ASSERT( pFace!=NULL ); + + /* set up the neigbooring faces of the 3 vertices */ + T_FaceList* pFaceLists[3]; + for( GW_U32 i=0; i<3; ++i ) + { + GW_Vertex* pVert = pFace->GetVertex(i); + pFaceLists[i] = &VertexToFaceMap[pVert->GetID()]; + } + + /* compute neighbor in the 3 directions */ + for( GW_U32 i=0; i<3; ++i ) + { + GW_Face* pNeighbor = NULL; + GW_U32 i1 = (i+1)%3; + GW_U32 i2 = (i+2)%3; + /* we must find the intersection of the surrounding faces of these 2 vertex */ + GW_Bool bFind = GW_False; + for( IT_FaceList it1 = pFaceLists[i1]->begin(); it1!=pFaceLists[i1]->end() && bFind!=GW_True; ++it1 ) + { + GW_Face* pFace1 = *it1; + for( IT_FaceList it2 = pFaceLists[i2]->begin(); it2!=pFaceLists[i2]->end() && bFind!=GW_True; ++it2 ) + { + GW_Face* pFace2 = *it2; + if( pFace1==pFace2 && pFace1!=pFace ) + { + pNeighbor = pFace1; + bFind=GW_True; + } + } + } + // GW_ASSERT( pNeighbor!=NULL ); + /* assign the face */ +/* if( pFace->GetFaceNeighbor(i)!=NULL ) + GW_ASSERT( pFace->GetFaceNeighbor(i)==pNeighbor ); */ + pFace->SetFaceNeighbor( pNeighbor, i ); + /* make some test on the neighbor to assure symetry + in the connectivity relationship */ + if( pNeighbor!=NULL ) + { + GW_I32 nEdgeNumber = pNeighbor->GetEdgeNumber( *pFace->GetVertex(i1),*pFace->GetVertex(i2) ); + GW_ASSERT( nEdgeNumber>=0 ); +#if 0 + if( pNeighbor->GetFaceNeighbor( nEdgeNumber )!=NULL ) + GW_ASSERT(pNeighbor->GetFaceNeighbor(nEdgeNumber)==pFace); +#endif + pNeighbor->SetFaceNeighbor( pFace, nEdgeNumber ); + } + } + } + + GW_DELETEARRAY( VertexToFaceMap ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetArea +/** + * \return [GW_Float] Total area. + * \author Gabriel Peyré + * \date 4-6-2003 + * + * Compute the total area of the triangulated mesh. + */ +/*------------------------------------------------------------------------------*/ +GW_Float GW_Mesh::GetArea() +{ + GW_Float rArea = 0; + + for( IT_FaceVector it=FaceVector_.begin(); it!=FaceVector_.end(); ++it) + { + GW_Face* pFace = *it; + GW_ASSERT( pFace!=NULL ); + GW_Vertex* v0 = pFace->GetVertex(0); + GW_Vertex* v1 = pFace->GetVertex(1); + GW_Vertex* v2 = pFace->GetVertex(2); + if( v0!=NULL && v1!=NULL && v2!=NULL ) + { + GW_Vector3D e1 = v1->GetPosition() - v0->GetPosition(); + GW_Vector3D e2 = v2->GetPosition() - v0->GetPosition(); + rArea += ~(e1 ^ e2); + } + } + + return (GW_Float) 0.5*rArea; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetRandomVertex +/** + * \return [GW_Vertex*] The vertex. NULL if it was impossible. + * \author Gabriel Peyré + * \date 4-14-2003 + * + * Get Return a vertex at random. + */ +/*------------------------------------------------------------------------------*/ +GW_Vertex* GW_Mesh::GetRandomVertex() +{ + GW_U32 nNumber = 0; + GW_Vertex* pStartVertex = NULL; + while( pStartVertex==NULL ) + { + if( nNumber>=this->GetNbrVertex()/10 ) + return NULL; + GW_U32 nNumVert = (GW_U32) floor(GW_RAND*this->GetNbrVertex()); + pStartVertex = this->GetVertex( nNumVert ); + if( pStartVertex->GetFace()==NULL ) + pStartVertex = NULL; + nNumber++; + } + return pStartVertex; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::InsertVertexInFace +/** + * \param Face [GW_Face&] The face. + * \param x [GW_Float] x barycentric coordinate. + * \param y [GW_Float] y barycentric coordinate. + * \param z [GW_Float] z barycentric coordinate. + * \return The newly created point. + * \author Gabriel Peyré + * \date 4-15-2003 + * + * Insert a vertex in a face. + */ +/*------------------------------------------------------------------------------*/ +GW_Vertex* GW_Mesh::InsertVertexInFace( GW_Face& Face, GW_Float x, GW_Float y, GW_Float z ) +{ + GW_Vertex* pVert0 = Face.GetVertex(0); + GW_Vertex* pVert1 = Face.GetVertex(1); + GW_Vertex* pVert2 = Face.GetVertex(2); + GW_ASSERT( pVert0!=NULL ); + GW_ASSERT( pVert1!=NULL ); + GW_ASSERT( pVert2!=NULL ); + /* create two new-faces */ + GW_Face* pFace1 = &this->CreateNewFace(); + GW_Face* pFace2 = &this->CreateNewFace(); + this->SetNbrFace( this->GetNbrFace()+2 ); + this->SetFace( this->GetNbrFace()-2, pFace1 ); + this->SetFace( this->GetNbrFace()-1, pFace2 ); + /* create one new vertex */ + GW_Vertex* pNewVert = &this->CreateNewVertex(); + GW_Vector3D pos = pVert0->GetPosition()*x + pVert1->GetPosition()*y + pVert2->GetPosition()*z; + pNewVert->SetPosition( pos ); + pNewVert->BuildRawNormal(); + this->SetNbrVertex( this->GetNbrVertex()+1 ); + this->SetVertex( this->GetNbrVertex()-1, pNewVert ); + /* assign vertex to faces */ + pFace1->SetVertex( *pVert0, *pVert1, *pNewVert ); + pFace2->SetVertex( *pNewVert, *pVert1, *pVert2 ); + Face.SetVertex( *pVert0, *pNewVert, *pVert2 ); + /* assign dependance vertex->mother face */ + pNewVert->SetFace( Face ); + pVert0->SetFace( Face ); + pVert1->SetFace( *pFace1 ); + pVert2->SetFace( Face ); + /* outer faces */ + if( Face.GetFaceNeighbor(2)!=NULL ) + { + GW_I32 nEdgeNumber = Face.GetFaceNeighbor(2)->GetEdgeNumber( Face ); + GW_ASSERT( nEdgeNumber>=0 ); + Face.GetFaceNeighbor(2)->SetFaceNeighbor( pFace1, nEdgeNumber ); + } + if( Face.GetFaceNeighbor(0)!=NULL ) + { + GW_I32 nEdgeNumber = Face.GetFaceNeighbor(0)->GetEdgeNumber( Face ); + GW_ASSERT( nEdgeNumber>=0 ); + Face.GetFaceNeighbor(0)->SetFaceNeighbor( pFace2, nEdgeNumber ); + } + /* build connectivity of inner faces */ + pFace1->SetFaceNeighbor( pFace2, &Face, Face.GetFaceNeighbor(2) ); + pFace2->SetFaceNeighbor( Face.GetFaceNeighbor(0), &Face, pFace1 ); + GW_Face* pTempFace = Face.GetFaceNeighbor(1); + Face.SetFaceNeighbor( pFace2, pTempFace, pFace1 ); + + return pNewVert; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::InsertVertexInEdge +/** + * \param Vert1 [GW_Vertex&] 1st vertex. + * \param Vert2 [GW_Vertex&] 2nd vertex. + * \param x [GW_Float] Barycentric coords in [0,1]. + * \return [GW_Vertex&] The vertex. This is a newly created one only if 0<1-GW_EPSILON ) + { + bIsNewVertCreated = GW_False; + return &Vert1; + } + bIsNewVertCreated = GW_True; + /* create the new vertex */ + GW_Vertex* pNewVert = &this->CreateNewVertex(); + this->SetNbrVertex( this->GetNbrVertex()+1 ); + this->SetVertex( this->GetNbrVertex()-1, pNewVert ); + /* set position */ + pNewVert->SetPosition( Vert1.GetPosition()*x + Vert2.GetPosition()*(1-x) ); + /* retrieve the neigbor faces face */ + GW_Face* pFace1 = NULL; + GW_Face* pFace2 = NULL; + Vert1.GetFaces( Vert2, pFace1, pFace2 ); + GW_ASSERT( pFace1!=NULL || pFace2!=NULL ); + /* assign the face of new vertex */ + if( pFace1!=NULL ) + pNewVert->SetFace( *pFace1 ); + else if( pFace2!=NULL ) + pNewVert->SetFace( *pFace2 ); + GW_I32 nVert1Num1, nVert1Num2, nVert1Num3, nVert2Num1, nVert2Num2, nVert2Num3; + GW_Face* pNewFace1 = NULL; + GW_Face* pNewFace2 = NULL; + if( pFace1!=NULL ) + { + nVert1Num1 = pFace1->GetEdgeNumber( Vert1 ); + GW_ASSERT( nVert1Num1>=0 ); + nVert1Num2 = pFace1->GetEdgeNumber( Vert2 ); + GW_ASSERT( nVert1Num2>=0 ); + nVert1Num3 = 3-nVert1Num2-nVert1Num1; + pNewFace1 = &this->CreateNewFace(); + this->SetNbrFace( this->GetNbrFace()+1 ); + this->SetFace( this->GetNbrFace()-1, pNewFace1 ); + pNewFace1->SetVertex( *pFace1->GetVertex(nVert1Num3), nVert1Num3 ); + pNewFace1->SetVertex( Vert2, nVert1Num2 ); + pNewFace1->SetVertex( *pNewVert, nVert1Num1 ); + /* connectivity between Face1 and new face */ + GW_Face* pFaceNeighbor = pFace1->GetFaceNeighbor(nVert1Num1); + pNewFace1->SetFaceNeighbor( pFaceNeighbor, nVert1Num1 ); + pNewFace1->SetFaceNeighbor( pFace1, nVert1Num2 ); + if( pFaceNeighbor!=NULL ) + { + GW_I32 nNum = pFaceNeighbor->GetEdgeNumber( Vert2, *pFace1->GetVertex(nVert1Num3) ); + GW_ASSERT( nNum>=0 ); + pFaceNeighbor->SetFaceNeighbor( pNewFace1, nNum ); + } + /* connectivity for face 1 */ + pFace1->SetFaceNeighbor( pNewFace1, nVert1Num1 ); + pFace1->SetVertex( *pNewVert, nVert1Num2 ); + /* reassign vertex 2 */ + Vert2.SetFace( *pNewFace1 ); + } + if( pFace2!=NULL ) + { + nVert2Num1 = pFace2->GetEdgeNumber( Vert1 ); + GW_ASSERT( nVert2Num1>=0 ); + nVert2Num2 = pFace2->GetEdgeNumber( Vert2 ); + GW_ASSERT( nVert2Num2>=0 ); + nVert2Num3 = 3-nVert2Num2-nVert2Num1; + pNewFace2 = &this->CreateNewFace(); + this->SetNbrFace( this->GetNbrFace()+1 ); + this->SetFace( this->GetNbrFace()-1, pNewFace2 ); + pNewFace2->SetVertex( *pFace2->GetVertex(nVert2Num3), nVert2Num3 ); + pNewFace2->SetVertex( Vert2, nVert2Num2 ); + pNewFace2->SetVertex( *pNewVert, nVert2Num1 ); + /* connectivity between Face2 and new face */ + GW_Face* pFaceNeighbor = pFace2->GetFaceNeighbor(nVert2Num1); + pNewFace2->SetFaceNeighbor( pFaceNeighbor, nVert2Num1 ); + pNewFace2->SetFaceNeighbor( pFace2, nVert2Num2 ); + if( pFaceNeighbor!=NULL ) + { + GW_I32 nNum = pFaceNeighbor->GetEdgeNumber( Vert2, *pFace2->GetVertex(nVert2Num3) ); + GW_ASSERT( nNum>=0 ); + pFaceNeighbor->SetFaceNeighbor( pNewFace2, nNum ); + } + /* connectivity for face 1 */ + pFace2->SetFaceNeighbor( pNewFace2, nVert2Num1 ); + pFace2->SetVertex( *pNewVert, nVert2Num2 ); + /* reassign vertex 2 */ + Vert2.SetFace( *pNewFace2 ); + } + /* set inter connectivity */ + if( pNewFace1!=NULL ) + pNewFace1->SetFaceNeighbor( pNewFace2, nVert1Num3 ); + if( pNewFace2!=NULL ) + pNewFace2->SetFaceNeighbor( pNewFace1, nVert2Num3 ); + + /* last thing : compute normal */ + pNewVert->BuildRawNormal(); + + return pNewVert; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::IterateConnectedComponent_Vertex +/** +* \param pCallback [VertexIterate_Callback] The function. +* \author Gabriel Peyré +* \date 7-2-2003 +* +* Iterate a callback on each vertex of a connected component. +*/ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::IterateConnectedComponent_Vertex( GW_Vertex& start_vert, VertexIterate_Callback pCallback ) +{ + /* march on the voronoi diagram */ + T_VertexList VertexToProceed; + VertexToProceed.push_back( &start_vert ); + T_VertexMap VertexDone; + VertexDone[ start_vert.GetID() ] = &start_vert; + + + while( !VertexToProceed.empty() ) + { + GW_Vertex* pVert = VertexToProceed.front(); + GW_ASSERT( pVert!=NULL ); + VertexToProceed.pop_front(); + + /* cut the face */ + pCallback( *pVert ); + + /* add neighbors */ + for( GW_VertexIterator it = pVert->BeginVertexIterator(); it!=pVert->EndVertexIterator(); ++it ) + { + GW_Vertex* pNewVert = (GW_Vertex*) *it; + if( pNewVert==NULL ) + break; + GW_ASSERT( pNewVert!=NULL ); + if( VertexDone.find(pNewVert->GetID())==VertexDone.end() ) + { + VertexToProceed.push_back( pNewVert ); + VertexDone[ pNewVert->GetID() ] = pNewVert; // so that it won't be added anymore + } + } + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::IterateConnectedComponent_Face +/** +* \param pCallback [VertexIterate_Callback] The function. +* \author Gabriel Peyré +* \date 7-2-2003 +* +* Iterate a callback on each vertex of a connected component. +*/ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::IterateConnectedComponent_Face( GW_Face& start_face, FaceIterate_Callback pCallback ) +{ + /* march on the voronoi diagram */ + T_FaceList FaceToProceed; + FaceToProceed.push_back( &start_face ); + T_FaceMap FaceDone; + FaceDone[ start_face.GetID() ] = &start_face; + + + while( !FaceToProceed.empty() ) + { + GW_Face* pFace = FaceToProceed.front(); + GW_ASSERT( pFace!=NULL ); + FaceToProceed.pop_front(); + + /* cut the face */ + pCallback( *pFace ); + + /* add neighbors */ + for( GW_U32 i=0; i<3; ++i ) + { + GW_Face* pNewFace = pFace->GetFaceNeighbor(i); + if( pNewFace!=NULL && FaceDone.find(pNewFace->GetID())==FaceDone.end() ) + { + FaceToProceed.push_back( pNewFace ); + FaceDone[ pNewFace->GetID() ] = pNewFace; // so that it won't be added anymore + } + } + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::ReOrientMesh +/** + * \param start_face [GW_Face&] The seed face. + * \author Gabriel Peyré + * \date 7-6-2003 + * + * Reorient the mesh using this start vertex. + */ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::ReOrientMesh( GW_Face& start_face ) +{ + /* march on the voronoi diagram */ + T_FaceList FaceToProceed; + FaceToProceed.push_back( &start_face ); + T_FaceMap FaceDone; + FaceDone[ start_face.GetID() ] = &start_face; + + + while( !FaceToProceed.empty() ) + { + GW_Face* pFace = FaceToProceed.front(); + GW_ASSERT( pFace!=NULL ); + FaceToProceed.pop_front(); + + /* add neighbors */ + for( GW_U32 i=0; i<3; ++i ) + { + GW_Vertex* pVertDir = pFace->GetVertex(i); GW_ASSERT( pVertDir!=NULL ); + GW_Face* pNewFace = pFace->GetFaceNeighbor(*pVertDir); + if( pNewFace!=NULL && FaceDone.find(pNewFace->GetID())==FaceDone.end() ) + { + /* find the two other vertices */ + GW_U32 i1 = (i+1)%3; + GW_U32 i2 = (i+2)%3; + GW_Vertex* pNewVert[3]; + pNewVert[0] = pFace->GetVertex(i2); GW_ASSERT( pNewVert[0]!=NULL ); + pNewVert[1] = pFace->GetVertex(i1); GW_ASSERT( pNewVert[1]!=NULL ); + pNewVert[2] = pNewFace->GetVertex(*pNewVert[0], *pNewVert[1]); GW_ASSERT( pNewVert[2]!=NULL ); + GW_Face* pNeigh[3]; + pNeigh[0] = pNewFace->GetFaceNeighbor( *pNewVert[0] ); + pNeigh[1] = pNewFace->GetFaceNeighbor( *pNewVert[1] ); + pNeigh[2] = pNewFace->GetFaceNeighbor( *pNewVert[2] ); + /* reorient the face */ + pNewFace->SetVertex( *pNewVert[0], *pNewVert[1], *pNewVert[2] ); + pNewFace->SetFaceNeighbor( pNeigh[0], pNeigh[1], pNeigh[2] ); + FaceToProceed.push_back( pNewFace ); + FaceDone[ pNewFace->GetID() ] = pNewFace; // so that it won't be added anymore + } + } + } + + /* check for global orientation (just an heuristic) */ + GW_Face* pFace = this->GetFace(0); GW_ASSERT( pFace!=NULL ); + GW_Vector3D v = pFace->GetVertex(0)->GetPosition() + + pFace->GetVertex(1)->GetPosition() + + pFace->GetVertex(2)->GetPosition(); + GW_Vector3D n = pFace->ComputeNormal(); + if( n*v<0 ) + this->FlipOrientation(); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::FlipOrientation +/** + * \author Gabriel Peyré + * \date 7-6-2003 + * + * Flip each face. + */ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::FlipOrientation() +{ + for( GW_U32 i=0; iGetNbrFace(); ++i ) + { + GW_Face* pFace = this->GetFace(i); GW_ASSERT( pFace!=NULL ); + pFace->SetVertex( *pFace->GetVertex(1), *pFace->GetVertex(0), *pFace->GetVertex(2) ); + pFace->SetFaceNeighbor( pFace->GetFaceNeighbor(1), pFace->GetFaceNeighbor(0), pFace->GetFaceNeighbor(2) ); + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::ReOrientNormals +/** + * \author Gabriel Peyré + * \date 7-6-2003 + * + * Align normals so that they are in the same direction with face + * normals. + */ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::ReOrientNormals() +{ + for( GW_U32 i=0; iGetNbrFace(); ++i ) + { + GW_Face* pFace = this->GetFace(i); GW_ASSERT( pFace!=NULL ); + GW_Vector3D n = pFace->ComputeNormal(); + for( GW_U32 k=0; k<3; ++k ) + { + GW_Vector3D& nv = pFace->GetVertex(k)->GetNormal(); + if( nv*n < 0 ) + nv = -nv; + } + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::FlipNormals +/** + * \author Gabriel Peyré + * \date 7-6-2003 + * + * Flip each normal of the mesh. + */ +/*------------------------------------------------------------------------------*/ +void GW_Mesh::FlipNormals() +{ + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + GW_Vertex* pVert = this->GetVertex(i); GW_ASSERT( pVert!=NULL ); + GW_Vector3D& n = pVert->GetNormal(); + n = -n; + } +} + + +void GW_Mesh::CheckIntegrity() +{ + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + GW_Vertex* pVert = this->GetVertex(i); GW_ASSERT( pVert!=NULL ); + GW_Face* pFace = pVert->GetFace(); GW_ASSERT( pFace!=NULL ); + if( pFace!=NULL && pFace->GetVertex(0)!=pVert && + pFace->GetVertex(1)!=pVert && + pFace->GetVertex(2)!=pVert ) + GW_ASSERT( GW_False ); + } + for( GW_U32 i=0; iGetNbrFace(); ++i ) + { + GW_Face* pFace = this->GetFace(i); GW_ASSERT( pFace!=NULL ); + for( GW_U32 k=0; k<3; ++k ) + { + GW_U32 k1 = (k+1)%3; + GW_U32 k2 = (k+2)%3; + GW_Face* pNeighFace = pFace->GetFaceNeighbor(k); + GW_Vertex* pV1 = pFace->GetVertex(k1); GW_ASSERT( pV1!=NULL ); + GW_Vertex* pV2 = pFace->GetVertex(k2); GW_ASSERT( pV2!=NULL ); + if( pNeighFace!=NULL ) + { + GW_ASSERT( pNeighFace->GetFaceNeighbor(*pV1, *pV2)==pFace ); + GW_ASSERT( pFace->GetFaceNeighbor(*pV1, *pV2)==pNeighFace); + } + } + } +} + +void GW_Mesh::ExtractBoundary( GW_Vertex& seed, T_VertexList& boundary, T_VertexMap* pExtracted ) +{ + GW_ASSERT( seed.IsBoundaryVertex() ); + GW_Vertex* pPrev = NULL; + GW_Vertex* pCur = &seed; + GW_Vertex* pNext = NULL; + GW_U32 num = 0; + do + { + num++; + boundary.push_back(pCur); + if( pExtracted!=NULL ) + (*pExtracted)[ pCur->GetID() ] = pCur; + pNext = NULL; + for( GW_VertexIterator it = pCur->BeginVertexIterator(); + (it!=pCur->EndVertexIterator()) && (pNext==NULL); ++it ) + { + GW_Vertex* pVert = *it; + if( pVert->IsBoundaryVertex() && pVert!=pPrev ) + pNext = pVert; + } + GW_ASSERT( pNext!=NULL ); + pPrev = pCur; + pCur = pNext; + } + while( pCur!=&seed && pNext!=NULL && numGetNbrVertex() ); +} + + +void GW_Mesh::ExtractAllBoundaries( std::list& boundary_list ) +{ + T_VertexMap AlreadyExtracted; + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + GW_Vertex* pVert = this->GetVertex(i); GW_ASSERT( pVert!=NULL ); + if( pVert->IsBoundaryVertex() && AlreadyExtracted.find(i)==AlreadyExtracted.end() ) + { + T_VertexList boundary; + this->ExtractBoundary( *pVert, boundary, &AlreadyExtracted ); + boundary_list.push_back( boundary ); + } + } +} + +GW_Float GW_Mesh::GetPerimeter( GW_U32* nNbrBoundaries ) +{ + GW_Float rPerimeter = 0; + std::list boundary_list; + this->ExtractAllBoundaries( boundary_list ); + if( nNbrBoundaries!=NULL ) + *nNbrBoundaries = (GW_U32) boundary_list.size(); + for( std::list::iterator it = boundary_list.begin(); it!=boundary_list.end(); ++it ) + { + T_VertexList& boundary = *it; + rPerimeter += GW_Mesh::GetPerimeter( boundary ); + } + + return rPerimeter; +} + +GW_Float GW_Mesh::GetPerimeter( T_VertexList& boundary, GW_Bool bCyclic ) +{ + GW_Float rPerimeter = 0; + GW_Vertex* pPrev = NULL; + GW_Vertex* pVert = NULL; + for( IT_VertexList it = boundary.begin(); it!=boundary.end(); ++it ) + { + pVert = *it; + if( pPrev!=NULL ) + { + rPerimeter += (pPrev->GetPosition()-pVert->GetPosition()).Norm(); + } + pPrev = pVert; + } + if( boundary.size()>1 && bCyclic ) + { + rPerimeter += (boundary.front()->GetPosition()-pVert->GetPosition()).Norm(); + } + return rPerimeter; +} + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Mesh.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Mesh.h new file mode 100644 index 0000000..67598c1 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Mesh.h @@ -0,0 +1,174 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Mesh.h + * \brief Definition of class \c GW_Mesh + * \author Gabriel Peyré + * \date 2-15-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_MESH_H_ +#define _GW_MESH_H_ + +#include "GW_Config.h" +#include "GW_Face.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_Mesh + * \brief A basic mesh, composed of vertex and faces. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * This class does not provide any advanded feature. You must build + * vertex, faces, and connectivity by your own. Remember : + * - That any vertex must have a pointer on one of the face it belongs to. + * - You must set up the 3 neighbor faces of each face of the mesh + * (this encodes connectivity). + * + * This class use smart pointer management. So it delete any pointer once it no + * more used. + * + * The size of the mesh must be *explicitly* managed. You can not add + * a face number \c n if the mesh has not been resized to contain \c n faces. + */ +/*------------------------------------------------------------------------------*/ + +class GW_Mesh +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_Mesh(); + virtual ~GW_Mesh(); + virtual GW_Mesh& operator=(const GW_Mesh& v); + //@} + + //------------------------------------------------------------------------- + /** \name Resize manager. */ + //------------------------------------------------------------------------- + //@{ + void SetNbrFace( GW_U32 nNum ); + void SetNbrVertex( GW_U32 nNum ); + + GW_U32 GetNbrVertex() const; + GW_U32 GetNbrFace() const; + + void Reset(); + //@} + + //------------------------------------------------------------------------- + /** \name Vertex/Face management */ + //------------------------------------------------------------------------- + //@{ + void AddFace( GW_Face& pFace ); + void SetFace( GW_U32 nNum, GW_Face* pFace ); + void SetVertex( GW_U32 nNum, GW_Vertex* pVert ); + + GW_Face* GetFace( GW_U32 nNum ); + GW_Face* GetFace( GW_Vertex& Vert1, GW_Vertex& Vert2, GW_Vertex& Vert3 ); + GW_Vertex* GetVertex( GW_U32 nNum ); + const GW_Face* GetFace( GW_U32 nNum ) const; + const GW_Vertex* GetVertex( GW_U32 nNum ) const; + //@} + + GW_Float GetBoundingRadius(); + void GetBoundingBox( GW_Vector3D& min, GW_Vector3D& max ); + GW_Vector3D GetBarycenter(); + void ScaleVertex( GW_Float rScale ); + void TranslateVertex( const GW_Vector3D& Vect ); + + void BuildConnectivity(); + void BuildRawNormal(); + void BuildCurvatureData(); + + GW_Float GetArea(); + + //------------------------------------------------------------------------- + /** \name Boundary helpers */ + //------------------------------------------------------------------------- + //@{ + void ExtractBoundary( GW_Vertex& seed, T_VertexList& boundary, T_VertexMap* pExtracted = NULL ); + void ExtractAllBoundaries( std::list& boundary_list ); + GW_Float GetPerimeter( GW_U32* nNbrBoundaries = NULL ); + static GW_Float GetPerimeter( T_VertexList& boundary, GW_Bool bCyclic = GW_True ); + //@} + + + void SetStaticThis(); + void UnSetStaticThis(); + static GW_Mesh& StaticThis(); + + virtual GW_Vertex* GetRandomVertex(); + + GW_Vertex* InsertVertexInFace( GW_Face& Face, GW_Float x, GW_Float y, GW_Float z ); + GW_Vertex* InsertVertexInEdge( GW_Vertex& Vert1, GW_Vertex& Vert2, GW_Float x, GW_Bool& bIsNewVertCreated ); + + void ReOrientMesh( GW_Face& seed ); + void ReOrientNormals(); + void FlipNormals(); + void FlipOrientation(); + + //------------------------------------------------------------------------- + /** \name Class factory methods. */ + //------------------------------------------------------------------------- + //@{ + virtual GW_Vertex& CreateNewVertex(); + virtual GW_Face& CreateNewFace(); + //@} + + typedef void (*VertexIterate_Callback)( GW_Vertex& vert ); + static void IterateConnectedComponent_Vertex( GW_Vertex& start_vert, VertexIterate_Callback pCallback ); + typedef void (*FaceIterate_Callback)( GW_Face& face ); + static void IterateConnectedComponent_Face( GW_Face& start_face, FaceIterate_Callback pCallback ); + + + /* helper*/ + void CheckIntegrity(); + +protected: + + /** contains all faces of the mesh */ + T_VertexVector VertexVector_; + /** contains all vertex of the mesh */ + T_FaceVector FaceVector_; + + /** for global access during serialization */ + static GW_Mesh* pStaticThis_; + +}; + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_Mesh */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_MeshVector; +typedef T_MeshVector::iterator IT_MeshVector; +typedef T_MeshVector::reverse_iterator RIT_MeshVector; +typedef T_MeshVector::const_iterator CIT_MeshVector; +typedef T_MeshVector::const_reverse_iterator CRIT_MeshVector; +//@} + + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_Mesh.inl" +#endif + + +#endif // _GW_MESH_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Mesh.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Mesh.inl new file mode 100644 index 0000000..1ae562f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Mesh.inl @@ -0,0 +1,356 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Mesh.inl + * \brief Inlined methods for \c GW_Mesh + * \author Gabriel Peyré + * \date 2-15-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_Mesh.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh constructor +/** + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Mesh::GW_Mesh() +{ + VertexVector_.resize(0); + FaceVector_.resize(0); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh destructor +/** + * \author Gabriel Peyré + * \date 2-15-2003 + * + * destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Mesh::~GW_Mesh() +{ + for( GW_U32 i=0; iGetNbrVertex(); i++ ) + GW_SmartCounter::CheckAndDelete( this->GetVertex(i) ); + for( GW_U32 i=0; iGetNbrFace(); i++ ) + GW_SmartCounter::CheckAndDelete( this->GetFace(i) ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetNbrVertex +/** + * \return [GW_U32] The number + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get the number of vertex *allocated* in the mesh. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_U32 GW_Mesh::GetNbrVertex() const +{ + return (GW_U32) VertexVector_.size(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetNbrFace +/** + * \return [GW_U32] the number. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get the number of vertex *allocated* in the mesh. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_U32 GW_Mesh::GetNbrFace() const +{ + return (GW_U32) FaceVector_.size(); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::SetFace +/** + * \param nNum [GW_U32] The number of the new face. + * \param pFace [GW_Face*] The new face. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Set one of the face. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Mesh::SetFace( GW_U32 nNum, GW_Face* pFace ) +{ + GW_ASSERT( nNumGetNbrFace() ); + if( this->GetFace(nNum)!=NULL ) + GW_SmartCounter::CheckAndDelete( this->GetFace(nNum) ); + FaceVector_[nNum] = pFace; + if( pFace!=NULL ) + { + pFace->UseIt(); + pFace->SetID(nNum); + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::AddFace +/** + * \param Face [GW_Face&] The new face. + * \author Gabriel Peyré + * \date 5-16-2003 + * + * Add a new face at the end of the list. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Mesh::AddFace( GW_Face& Face ) +{ + this->SetNbrFace( this->GetNbrFace()+1 ); + this->SetFace( this->GetNbrFace()-1, &Face ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::SetVertex +/** + * \param nNum [GW_U32] The number of the vertex. + * \param pVert [GW_Vertex*] The vertex. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Set one of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Mesh::SetVertex( GW_U32 nNum, GW_Vertex* pVert ) +{ + GW_ASSERT( nNumGetNbrVertex() ); + if( this->GetVertex(nNum)!=NULL ) + GW_SmartCounter::CheckAndDelete( this->GetVertex(nNum) ); + VertexVector_[nNum] = pVert; + if( pVert!=NULL ) + { + pVert->UseIt(); + pVert->SetID(nNum); + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetFace +/** + * \param nNum [GW_U32] The number + * \return [GW_Face*] The face. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get one of the faces. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Face* GW_Mesh::GetFace( GW_U32 nNum ) +{ + GW_ASSERT( nNumGetNbrFace() ); + return FaceVector_[nNum]; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetFace +/** + * \param Vert1 [GW_Vertex&] 1st vert + * \param Vert2 [GW_Vertex&] 2nd vert + * \param Vert3 [GW_Vertex&] 3rd vert + * \return [GW_Face*] The face + * \author Gabriel Peyré + * \date 1-19-2004 + * + * Get a face from it's 3 vertices. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Face* GW_Mesh::GetFace( GW_Vertex& Vert1, GW_Vertex& Vert2, GW_Vertex& Vert3 ) +{ + GW_Face* pFace1, *pFace2; + Vert1.GetFaces(Vert2, pFace1, pFace2); + if( pFace1!=NULL && pFace1->GetNextVertex(Vert3)!=NULL ) + return pFace1; + if( pFace2!=NULL && pFace2->GetNextVertex(Vert3)!=NULL ) + return pFace2; + return NULL; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetVertex +/** + * \param nNum [GW_U32] The number. + * \return [GW_Vertex*] The vertex. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get one of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vertex* GW_Mesh::GetVertex( GW_U32 nNum ) +{ + GW_ASSERT( nNumGetNbrVertex() ); + return VertexVector_[nNum]; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetFace +/** +* \param nNum [GW_U32] The number +* \return [GW_Face*] The face. +* \author Gabriel Peyré +* \date 2-15-2003 +* +* Get one of the faces. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +const GW_Face* GW_Mesh::GetFace( GW_U32 nNum )const +{ + GW_ASSERT( nNumGetNbrFace() ); + return FaceVector_[nNum]; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::GetVertex +/** +* \param nNum [GW_U32] The number. +* \return [GW_Vertex*] The vertex. +* \author Gabriel Peyré +* \date 2-15-2003 +* +* Get one of the vertex. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +const GW_Vertex* GW_Mesh::GetVertex( GW_U32 nNum ) const +{ + GW_ASSERT( nNumGetNbrVertex() ); + return VertexVector_[nNum]; +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::SetStaticThis +/** + * \author Gabriel Peyré + * \date 4-2-2003 + * + * Set the global pointer. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Mesh::SetStaticThis() +{ + pStaticThis_ = this; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::UnSetStaticThis +/** + * \author Gabriel Peyré + * \date 4-2-2003 + * + * Set to NULL the global pointer. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Mesh::UnSetStaticThis() +{ + pStaticThis_ = NULL; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::StaticThis +/** + * \return [GW_Mesh&] Current mesh. + * \author Gabriel Peyré + * \date 4-2-2003 + * + * For global access during serialization. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Mesh& GW_Mesh::StaticThis() +{ + GW_ASSERT( pStaticThis_!=NULL ); + return *pStaticThis_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::Reset +/** + * \author Gabriel Peyré + * \date 4-6-2003 + * + * Clear everything. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Mesh::Reset() +{ + this->SetNbrFace(0); + this->SetNbrVertex(0); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::CreateNewVertex +/** + * \return [GW_Vertex&] The newly created vertex. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Allocate memory for a new vertex. You should overload this + * method + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vertex& GW_Mesh::CreateNewVertex() +{ + return *(new GW_Vertex); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Mesh::CreateNewFace +/** + * \return [GW_Face&] The newly created face. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Allocate memory for a new face. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Face& GW_Mesh::CreateNewFace() +{ + return *(new GW_Face); +} + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_PolygonIntersector.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_PolygonIntersector.h new file mode 100644 index 0000000..5d03732 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_PolygonIntersector.h @@ -0,0 +1,469 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_PolygonIntersector.h + * \brief Definition of class \c GW_PolygonIntersector + * \author Gabriel Peyré + * \date 6-11-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_POLYGONINTERSECTOR_H_ +#define _GW_POLYGONINTERSECTOR_H_ + +#include "GW_Config.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_PolygonIntersector + * \brief Compute the intersection of 2 CONVEX polygon. + * \author Gabriel Peyré + * \date 6-11-2003 + * + * This is based on the source code from the book Computational Geometry in C + * by Joseph O'Rourke, see + * http://cs.smith.edu/~orourke/books/compgeom.html. + */ +/*------------------------------------------------------------------------------*/ + +class GW_PolygonIntersector +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_PolygonIntersector() + {} + //@} + + T_Vector2DList& PerformIntersection( const T_Vector2DList& P1, const T_Vector2DList& P2 ) + { + int n = (int) P1.size(); + int m = (int) P2.size(); + tPolygoni PolyList1 = new tPointi[n+10]; + tPolygoni PolyList2 = new tPointi[m+10]; + GW_Float scale_factor = 50000; // this is because the algorithm works with int + /* fill the 2 polygons */ + GW_U32 num = 0; + for( CIT_Vector2DList it = P1.begin(); it!=P1.end(); ++it ) + { + const GW_Vector2D& v = *it; + PolyList1[num][0] = (int) (v[0]*scale_factor); + PolyList1[num][1] = (int) (v[1]*scale_factor); + num++; + } + num = 0; + for( CIT_Vector2DList it = P2.begin(); it!=P2.end(); ++it ) + { + const GW_Vector2D& v = *it; + PolyList2[num][0] = (int) (v[0]*scale_factor); + PolyList2[num][1] = (int) (v[1]*scale_factor); + num++; + } + + ConvexIntersect( PolyList1, PolyList2, n, m, IntersectionPolygon_ ); + + /** rescale back the polygon */ + for( IT_Vector2DList it = IntersectionPolygon_.begin(); it!=IntersectionPolygon_.end(); ++it ) + *it /= scale_factor; + + GW_DELETEARRAY(PolyList1); + GW_DELETEARRAY(PolyList2); + + return IntersectionPolygon_; + } + + T_Vector2DList& GetIntersectionPolygon() + { + return IntersectionPolygon_; + } + + GW_Float GetAreaIntersection() + { + return GW_PolygonIntersector::ComputePolygonArea( IntersectionPolygon_ ); + } + + + static GW_Float ComputePolygonArea( T_Vector2DList& Poly ) + { + if( Poly.size()<3 ) + return 0; + IT_Vector2DList it = Poly.begin(); + GW_Vector2D& v0 = *it; + it++; + GW_Vector2D& v1 = *it; + it++; + GW_Float area = 0; + while( it!=Poly.end() ) + { + GW_Vector2D v2 = *it; + area += GW_Maths::FlatTriangleArea( v0, v1, v2 ); + v1 = v2; + it++; + } + return area; + } + + /** return true if the polygon is in positive orientation */ + static GW_Bool CheckOrientation( T_Vector2DList& Poly ) + { + if( Poly.size()<3 ) + { + GW_ASSERT( GW_False ); + return GW_True; + } + GW_Vector2D center; + for( IT_Vector2DList it=Poly.begin(); it!=Poly.end(); ++it ) + center += *it; + center /= Poly.size(); + IT_Vector2DList itpoly=Poly.begin(); + GW_Vector2D v0 = *itpoly; + itpoly++; + GW_I32 orientation = 0; + while( itpoly!=Poly.end() ) + { + GW_Vector2D v1 = *itpoly; + GW_Float crossp = (v0[0]-center[0])*(v1[1]-center[1])-(v0[1]-center[1])*(v1[0]-center[0]); + GW_ASSERT( (crossp>0 && orientation>=0) || (crossp<0 && orientation<=0) ); + if( crossp>0 ) + orientation++; + else + orientation--; + v0 = v1; + itpoly++; + } + return orientation>0; + } + + void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_PolygonIntersector", s); + GW_PolygonIntersector PolyInt; + T_Vector2DList P1, P2; + P1.push_back(GW_Vector2D(0,0)); + P1.push_back(GW_Vector2D(2,0)); + P1.push_back(GW_Vector2D(2,2)); + P1.push_back(GW_Vector2D(0,2)); + P2.push_back(GW_Vector2D(1,1)); + P2.push_back(GW_Vector2D(3,1)); + P2.push_back(GW_Vector2D(3,3)); + P2.push_back(GW_Vector2D(1,3)); + + T_Vector2DList& R = PolyInt.PerformIntersection( P1,P2 ); + for( IT_Vector2DList it=R.begin(); it!=R.end(); ++it ) + cout << *it << endl; + + cout << "Area : " << PolyInt.GetAreaIntersection() << endl; + TestClassFooter("GW_PolygonIntersector", s); + } + +private: + + /** the computed polygon */ + T_Vector2DList IntersectionPolygon_; + + /** internal definition */ + #define EXIT_SUCCESS 0 + #define EXIT_FAILURE 1 + #undef X + #undef Y + #define X 0 + #define Y 1 + enum tInFlag + { Pin, Qin, Unknown } ; + + /** Polygon and points */ + #define DIM 2 /* Dimension of points */ + typedef int tPointi[DIM]; /* type integer point */ + typedef double tPointd[DIM]; /* type double point */ + typedef tPointi* tPolygoni;/* type integer polygon */ + + void debug_printf(const char*, ...) + {} + + + /** P has n vertices, Q has m vertices. */ + void ConvexIntersect( tPolygoni P, tPolygoni Q, int n, int m, T_Vector2DList& R ) + { + int a, b; /* indices on P and Q (resp.) */ + int a1, b1; /* a-1, b-1 (resp.) */ + tPointi A, B; /* directed edges on P and Q (resp.) */ + int cross; /* sign of z-component of A x B */ + int bHA, aHB; /* b in H(A); a in H(b). */ + tPointi Origin = {0,0}; /* (0,0) */ + tPointd p; /* double point of intersection */ + tPointd q; /* second point of intersection */ + tInFlag inflag; /* {Pin, Qin, Unknown}: which inside */ + int aa, ba; /* # advances on a & b indices (after 1st inter.) */ + bool FirstPoint; /* Is this the first point? (used to initialize).*/ + tPointd p0; /* The first point. */ + int code; /* SegSegInt return code. */ + + /* Initialize variables. */ + a = 0; b = 0; aa = 0; ba = 0; + inflag = Unknown; FirstPoint = GW_True; + + do { + /* Computations of key variables. */ + a1 = (a + n - 1) % n; + b1 = (b + m - 1) % m; + + SubVec( P[a], P[a1], A ); + SubVec( Q[b], Q[b1], B ); + + cross = AreaSign( Origin, A, B ); + aHB = AreaSign( Q[b1], Q[b], P[a] ); + bHA = AreaSign( P[a1], P[a], Q[b] ); + debug_printf("%%cross=%d, aHB=%d, bHA=%d\n", cross, aHB, bHA ); + + /* If A & B intersect, update inflag. */ + code = SegSegInt( P[a1], P[a], Q[b1], Q[b], p, q ); + debug_printf("%%SegSegInt: code = %c\n", code ); + if ( code == '1' || code == 'v' ) { + if ( inflag == Unknown && FirstPoint ) { + aa = ba = 0; + FirstPoint = GW_False; + p0[X] = p[X]; p0[Y] = p[Y]; + debug_printf("%8.2lf %8.2lf moveto\n", p0[X], p0[Y] ); + } + inflag = InOut( p, inflag, aHB, bHA ); + R.push_back( GW_Vector2D(p[X], p[Y]) ); + debug_printf("%%InOut sets inflag=%d\n", inflag); + } + + /*-----Advance rules-----*/ + /* Special case: A & B overlap and oppositely oriented. */ + if ( ( code == 'e' ) && (Dot( A, B ) < 0) ) + { +// GW_ASSERT( GW_False ); + return; + } + + /* Special case: A & B parallel and separated. */ + if ( (cross == 0) && ( aHB < 0) && ( bHA < 0 ) ) + { + debug_printf("%%P and Q are disjoint.\n"); + return; + } + + /* Special case: A & B collinear. */ + else if ( (cross == 0) && ( aHB == 0) && ( bHA == 0 ) ) { + /* Advance but do not output point. */ + if ( inflag == Pin ) + b = Advance( b, &ba, m, inflag == Qin, Q[b], R ); + else + a = Advance( a, &aa, n, inflag == Pin, P[a], R ); + } + + /* Generic cases. */ + else if ( cross >= 0 ) { + if ( bHA > 0) + a = Advance( a, &aa, n, inflag == Pin, P[a], R ); + else + b = Advance( b, &ba, m, inflag == Qin, Q[b], R ); + } + else /* if ( cross < 0 ) */{ + if ( aHB > 0) + b = Advance( b, &ba, m, inflag == Qin, Q[b], R ); + else + a = Advance( a, &aa, n, inflag == Pin, P[a], R ); + } + debug_printf("%%After advances:a=%d, b=%d; aa=%d, ba=%d; inflag=%d\n", a, b, aa, ba, inflag); + + /* Quit when both adv. indices have cycled, or one has cycled twice. */ + } while ( ((aa < n) || (ba < m)) && (aa < 2*n) && (ba < 2*m) ); + + if ( !FirstPoint ) /* If at least one point output, close up. */ + debug_printf("%8.2lf %8.2lf lineto\n", p0[X], p0[Y] ); + + /* Deal with special cases: not implemented. */ + if ( inflag == Unknown) + debug_printf("%%The boundaries of P and Q do not cross.\n"); + } + + + /** Prints out the double point of intersection, and toggles in/out flag. */ + tInFlag InOut( tPointd p, tInFlag inflag, int aHB, int bHA ) + { + debug_printf("%8.2lf %8.2lf lineto\n", p[X], p[Y] ); + + /* Update inflag. */ + if ( aHB > 0) + return Pin; + else if ( bHA > 0) + return Qin; + else /* Keep status quo. */ + return inflag; + } + /** Advances and prints out an inside vertex if appropriate. */ + int Advance( int a, int *aa, int n, bool inside, tPointi v, T_Vector2DList& R ) + { + if ( inside ) + { + debug_printf("%5d %5d lineto\n", v[X], v[Y] ); + R.push_back( GW_Vector2D(v[X], v[Y]) ); + } + (*aa)++; + return (a+1) % n; + } + /** a - b ==> c. */ + void SubVec( tPointi a, tPointi b, tPointi c ) + { + int i; + for( i = 0; i < DIM; i++ ) + c[i] = a[i] - b[i]; + } + int AreaSign( tPointi a, tPointi b, tPointi c ) + { + double area2; + + area2 = ( b[0] - a[0] ) * (double)( c[1] - a[1] ) - + ( c[0] - a[0] ) * (double)( b[1] - a[1] ); + + /* The area should be an integer. */ + if ( area2 > 0.5 ) return 1; + else if ( area2 < -0.5 ) return -1; + else return 0; + } + + /** SegSegInt: Finds the point of intersection p between two closed + segments ab and cd. Returns p and a char with the following meaning: + 'e': The segments collinearly overlap, sharing a point. + 'v': An endpoint (vertex) of one segment is on the other segment, + but 'e' doesn't hold. + '1': The segments intersect properly (i.e., they share a point and + neither 'v' nor 'e' holds). + '0': The segments do not intersect (i.e., they share no points). + Note that two collinear segments that share just one point, an endpoint + of each, returns 'e' rather than 'v' as one might expect. */ + char SegSegInt( tPointi a, tPointi b, tPointi c, tPointi d, tPointd p, tPointd q ) + { + double s, t; /* The two parameters of the parametric eqns. */ + double num, denom; /* Numerator and denoninator of equations. */ + char code = '?'; /* Return char characterizing intersection. */ + + denom = a[X] * (double)( d[Y] - c[Y] ) + + b[X] * (double)( c[Y] - d[Y] ) + + d[X] * (double)( b[Y] - a[Y] ) + + c[X] * (double)( a[Y] - b[Y] ); + + /* If denom is zero, then segments are parallel: handle separately. */ + if (denom == 0.0) + return ParallelInt(a, b, c, d, p, q); + + num = a[X] * (double)( d[Y] - c[Y] ) + + c[X] * (double)( a[Y] - d[Y] ) + + d[X] * (double)( c[Y] - a[Y] ); + if ( (num == 0.0) || (num == denom) ) code = 'v'; + s = num / denom; + + num = -( a[X] * (double)( c[Y] - b[Y] ) + + b[X] * (double)( a[Y] - c[Y] ) + + c[X] * (double)( b[Y] - a[Y] ) ); + if ( (num == 0.0) || (num == denom) ) code = 'v'; + t = num / denom; + + if ( (0.0 < s) && (s < 1.0) && + (0.0 < t) && (t < 1.0) ) + code = '1'; + else if ( (0.0 > s) || (s > 1.0) || + (0.0 > t) || (t > 1.0) ) + code = '0'; + + p[X] = a[X] + s * ( b[X] - a[X] ); + p[Y] = a[Y] + s * ( b[Y] - a[Y] ); + + return code; + } + char ParallelInt( tPointi a, tPointi b, tPointi c, tPointi d, tPointd p, tPointd q ) + { + if ( !Collinear( a, b, c) ) + return '0'; + + if ( Between( a, b, c ) && Between( a, b, d ) ) { + Assigndi( p, c ); + Assigndi( q, d ); + return 'e'; + } + if ( Between( c, d, a ) && Between( c, d, b ) ) { + Assigndi( p, a ); + Assigndi( q, b ); + return 'e'; + } + if ( Between( a, b, c ) && Between( c, d, b ) ) { + Assigndi( p, c ); + Assigndi( q, b ); + return 'e'; + } + if ( Between( a, b, c ) && Between( c, d, a ) ) { + Assigndi( p, c ); + Assigndi( q, a ); + return 'e'; + } + if ( Between( a, b, d ) && Between( c, d, b ) ) { + Assigndi( p, d ); + Assigndi( q, b ); + return 'e'; + } + if ( Between( a, b, d ) && Between( c, d, a ) ) { + Assigndi( p, d ); + Assigndi( q, a ); + return 'e'; + } + return '0'; + } + void Assigndi( tPointd p, tPointi a ) + { + int i; + for ( i = 0; i < DIM; i++ ) + p[i] = a[i]; + } + /** Returns TRUE iff point c lies on the closed segement ab. + Assumes it is already known that abc are collinear. */ + bool Between( tPointi a, tPointi b, tPointi c ) + { + /* If ab not vertical, check betweenness on x; else on y. */ + if ( a[X] != b[X] ) + return ((a[X] <= c[X]) && (c[X] <= b[X])) || + ((a[X] >= c[X]) && (c[X] >= b[X])); + else + return ((a[Y] <= c[Y]) && (c[Y] <= b[Y])) || + ((a[Y] >= c[Y]) && (c[Y] >= b[Y])); + } + + /** Returns the dot product of the two input vectors. */ + double Dot( tPointi a, tPointi b ) + { + int i; + double sum = 0.0; + + for( i = 0; i < DIM; i++ ) + sum += a[i] * b[i]; + + return sum; + } + + bool Collinear( tPointi a, tPointi b, tPointi c ) + { + return AreaSign( a, b, c ) == 0; + } + + +}; + +} // End namespace GW + + +#endif // _GW_POLYGONINTERSECTOR_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_ProgressBar.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_ProgressBar.h new file mode 100644 index 0000000..33f9cf1 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_ProgressBar.h @@ -0,0 +1,102 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_ProgressBar.h + * \brief Definition of class \c GW_ProgressBar + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_PROGRESSBAR_H_ +#define _GW_PROGRESSBAR_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Vertex.h" + +namespace GW { + +class GW_VoronoiVertex; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_ProgressBar + * \brief An ASCII progress bar + * \author Gabriel Peyré + * \date 1-02-2004 + */ +/*------------------------------------------------------------------------------*/ + +class GW_ProgressBar +{ + +public: + + GW_ProgressBar( GW_U32 nLength = 40, char char_begin = '|', char char_empty = '-', char char_progress = '*' ) + :nLength_( nLength ), + rCurPos_( 0 ), + rLastPrint_( 0 ), + rDelta_( 1.0/nLength ), + char_empty_( char_empty ), + char_begin_( char_begin ), + char_progress_( char_progress ) + { + /* NOTHING */ + } + + void Begin() + { + cout << char_begin_; + for( GW_U32 i=0; i=rCurPos_ ) + { + GW_U32 nToPrint = (GW_U32) floor( (rNewPos-rLastPrint_)/rDelta_ ); + if( nToPrint>0 ) + { + for( GW_U32 i=0; iUpdate(1.0+rDelta_/10); + cout << char_begin_; + } + +private: + + GW_U32 nLength_; + GW_Float rCurPos_; + GW_Float rDelta_; + GW_Float rLastPrint_; + char char_begin_; + char char_empty_; + char char_progress_; +}; + + +} // End namespace GW + + +#endif // _GW_GEODESICVERTEX_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Serializable.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Serializable.h new file mode 100644 index 0000000..7cb23ea --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Serializable.h @@ -0,0 +1,234 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Serializable.h + * \brief Definition of class \c GW_Serializable + * \author Gabriel Peyré + * \date 4-2-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_SERIALIZABLE_H_ +#define _GW_SERIALIZABLE_H_ + +#include "GW_Config.h" + +namespace GW { + +class GW_Ofstream: public std::ofstream +{ + +public: + + #ifdef std::_Ios_Openmode + #define my_openmode std::_Ios_Openmode + #else + #define my_openmode GW_I32 + #endif + + /** constructor */ + GW_Ofstream(const char* name, my_openmode mode = std::ios_base::binary | std::ios_base::trunc) + :std::ofstream(name, mode){} + + /** destructor */ + virtual ~GW_Ofstream(){} + + /** operators */ + #define DEFINE_OPERATOR(type) \ + GW_Ofstream& operator << (type& v) \ + { this->write( (char*) &v, (int) sizeof(type) ); \ + return *this; } + + DEFINE_OPERATOR(GW_I8); + DEFINE_OPERATOR(GW_U8); + DEFINE_OPERATOR(GW_I16); + DEFINE_OPERATOR(GW_U16); + DEFINE_OPERATOR(GW_I32); + DEFINE_OPERATOR(GW_U32); + //DEFINE_OPERATOR(GW_I64); + //DEFINE_OPERATOR(GW_U64); + DEFINE_OPERATOR(GW_Bool); + DEFINE_OPERATOR(GW_Float); + + #undef DEFINE_OPERATOR + + /** special treatement for strings */ + GW_Ofstream& operator << (string& v) + { + GW_U32 nSize = (GW_U32) v.size(); + (*this) << nSize; + this->write( (char*) v.c_str(), (int) v.size() ); + return *this; + } +}; + +class GW_Ifstream: public std::ifstream +{ + +public: + + GW_Ifstream(const char* name, my_openmode mode = std::ios_base::binary) + :std::ifstream(name, mode){} + virtual ~GW_Ifstream(){} + + #define DEFINE_OPERATOR(type) \ + GW_Ifstream& operator >> (type& v) \ + { this->read( (char*) &v, (int) sizeof(type) ); \ + return *this; } + + DEFINE_OPERATOR(GW_I8); + DEFINE_OPERATOR(GW_U8); + DEFINE_OPERATOR(GW_I16); + DEFINE_OPERATOR(GW_U16); + DEFINE_OPERATOR(GW_I32); + DEFINE_OPERATOR(GW_U32); +// DEFINE_OPERATOR(GW_I64); +// DEFINE_OPERATOR(GW_U64); + DEFINE_OPERATOR(GW_Bool); + DEFINE_OPERATOR(GW_Float); + + #undef DEFINE_OPERATOR + + /** special treatement for strings */ + GW_Ifstream& operator >> (string& v) + { + GW_U32 nSize; + (*this) >> nSize; + char* c = new char[nSize+1]; + c[nSize] = NULL; + this->read( c, (int) nSize ); + v = string(c); + return *this; + } +}; + + +//------------------------------------------------------------------------- +/** \name serialization macros */ +//------------------------------------------------------------------------- +//@{ +/** defines and implement GetClassName and GetClassName for a normal class */ +#define GW_DEFINE_SERIALIZATION(class) \ +string GetClassName() { return string( #class ); } \ +static GW_Serializable& CreateInstance() { return *(new class); } \ +GW_Serializable* Clone() const { return new class( *this ); } +/** defines and implement GetClassName and GetClassName for a template class */ +#define GW_DEFINE_SERIALIZATION_TEMPLATE(class, T) \ +string GetClassName() { return string( #class ); } \ +static GW_Serializable& CreateInstance() { return *(new class); }\ +GW_Serializable* Clone() const { return (new class( *this ) ); } +//@} + +typedef class GW_Serializable& (*T_CreateInstance_Function)(void); + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_Serializable + * \brief Base class for all class that want to be serialized into a file. + * \author Gabriel Peyré + * \date 4-2-2003 + * + * You must overload \c BuildFromFile and \c BuildToFile. + * You also must put somewhere in the class header : + * \c GW_DEFINE_SERIALIZATION(you_class_name); + */ +/*------------------------------------------------------------------------------*/ + +class GW_Serializable +{ +public: + + /** import the data from an opened file to the object */ + virtual void BuildFromFile( GW_Ifstream& file) + { + // nothing + } + /** export the data from the object to an opened file */ + virtual void BuildToFile( GW_Ofstream& file ) + { + // nothing + } + /** get the name of the class, usefull for the class factory */ + virtual string GetClassName() + { + return string("undefined"); + } + + /** duplicate the class : it's a virtual copy constructor */ + virtual GW_Serializable* Clone() const + { + return NULL; + } + + void TestClass() + { + GW_U32 nTest = 33; + GW_Float rTest = (GW_Float) 3.14; + string sTest = "Youhou, c'est cool !"; + + GW_Ofstream file( GW_TEST_FILE ); + file << nTest; + file << rTest; + file << sTest; + file.close(); + + GW_U32 nTest1; + GW_Float rTest1; + string sTest1; + + GW_Ifstream file2( GW_TEST_FILE ); + file2 >> nTest1; + file2 >> rTest1; + file2 >> sTest1; + file2.close(); + + GW_ASSERT( nTest==nTest1 ); + GW_ASSERT( rTest==rTest1 ); + GW_ASSERT( sTest==sTest1 ); +} + +}; + +//------------------------------------------------------------------------- +/** \name operators on OR_Serializable */ +//------------------------------------------------------------------------- +//@{ +inline +GW_Ofstream& operator << (GW_Ofstream& file, GW_Serializable& v) +{ + if( !file.is_open() ) + { + std::cerr << "File is not opened."; + return file; + } + + v.BuildToFile(file); + return file; +} + +inline +GW_Ifstream& operator >> (GW_Ifstream& file, GW_Serializable& v) +{ + if( !file.is_open() ) + { + std::cerr << "File is not opened."; + return file; + } + + v.BuildFromFile(file); + return file; +} + +//@} + +} // End namespace GW + + + +#endif // _GW_SERIALIZABLE_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_SmartCounter.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_SmartCounter.cpp new file mode 100644 index 0000000..ca4b390 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_SmartCounter.cpp @@ -0,0 +1,63 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_SmartCounter.cpp + * \brief Definition of class \c GW_SmartCounter + * \author Gabriel Peyré 2001-09-12 + */ +/*------------------------------------------------------------------------------*/ +#ifdef GW_SCCSID +static const char* sccsid = "@(#) GW_SmartCounter.cpp (c) Gabriel Peyré & Antoine Bouthors 2001"; +#endif // GW_SCCSID + + +#include "stdafx.h" +#include "GW_SmartCounter.h" + +#ifndef GW_USE_INLINE + #include "GW_SmartCounter.inl" +#endif + +using namespace GW; + + +/*------------------------------------------------------------------------------*/ +/** + * Name : GW_SmartCounter::CheckAndDelete + * + * \param pCounter the counter that we don't use anymore (can be NULL). + * \return Do we have delete the pointer ? + * \author Gabriel Peyré 2001-10-29 + * + * First release the pointer. If it is no longer use, delete it. + * Else print a warning message, since only manager should destroy datas. + */ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_SmartCounter::CheckAndDelete(GW_SmartCounter* pCounter) +{ + if( pCounter==NULL ) + return false; + + pCounter->ReleaseIt(); + if( pCounter->NoLongerUsed() ) + { + GW_DELETE(pCounter); + return true; + } + + return false; +} + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (C) 2000-2001 The Orion3D Rewiew Board // +//---------------------------------------------------------------------------// +// This file is under the Orion3D licence. // +// Refer to orion3d_licence.txt for more details about the Orion3D Licence. // +//---------------------------------------------------------------------------// +// Ce fichier est soumis a la Licence Orion3D. // +// Se reporter a orion3d_licence.txt pour plus de details sur cette licence.// +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_SmartCounter.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_SmartCounter.h new file mode 100644 index 0000000..a28a276 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_SmartCounter.h @@ -0,0 +1,99 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_SmartCounter.h + * \brief Definition of class \c GW_SmartCounter + * \author Gabriel Peyré 2001-09-12 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef __GW_SmartCounter_h_ +#define __GW_SmartCounter_h_ + +#include "GW_Config.h" + +namespace GW { + + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_SmartCounter + * \brief A smart reference counter. + * \author Gabriel Peyré 2001-09-12 + * + * Each object that want to use reference management must inherit from this class. + * + * Each time an external object wants to use the object for some period, it should call : + * \code + * MyObject->UseIt(); + * \endcode + * When the external object stop using this object, it must call : + * \code + * MyObject->ReleaseIt(); + * if( MyObject->NoLongerUsed() ) + * GW_DELETE( MyObject ); + * \endcode + */ +/*------------------------------------------------------------------------------*/ + +class GW_SmartCounter +{ + +public: + + GW_SmartCounter(); + GW_SmartCounter( const GW_SmartCounter& Dup ); + GW_SmartCounter& operator=( const GW_SmartCounter& Dup ); + virtual ~GW_SmartCounter(); + + //------------------------------------------------------------------------- + /** \name memory management */ + //------------------------------------------------------------------------- + //@{ + void UseIt(); + void ReleaseIt(); + bool NoLongerUsed(); + GW_I32 GetReferenceCounter(); + //@} + + + + //------------------------------------------------------------------------- + /** \name helper */ + //------------------------------------------------------------------------- + //@{ + static GW_Bool CheckAndDelete(GW_SmartCounter* pCounter); + //@} + +private: + + //------------------------------------------------------------------------- + /** \name memory management */ + //------------------------------------------------------------------------- + //@{ + GW_I32 nReferenceCounter_; + //@} +}; + + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_SmartCounter.inl" +#endif + + +#endif // __GW_SmartCounter_h_ + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (C) 2000-2001 The Orion3D Rewiew Board // +//---------------------------------------------------------------------------// +// This file is under the Orion3D licence. // +// Refer to orion3d_licence.txt for more details about the Orion3D Licence. // +//---------------------------------------------------------------------------// +// Ce fichier est soumis a la Licence Orion3D. // +// Se reporter a orion3d_licence.txt pour plus de details sur cette licence.// +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_SmartCounter.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_SmartCounter.inl new file mode 100644 index 0000000..0fbaeb9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_SmartCounter.inl @@ -0,0 +1,160 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_SmartCounter.inl + * \brief Inlined methods for \c GW_SmartCounter + * \author Gabriel Peyré 2001-09-12 + */ +/*------------------------------------------------------------------------------*/ +#include "GW_SmartCounter.h" + +namespace GW { + + +/*------------------------------------------------------------------------------*/ +/** + * Name : GW_SmartCounter constructor + * + * \author Gabriel Peyré 2001-09-12 + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_SmartCounter::GW_SmartCounter() +: nReferenceCounter_ ( 0 ) +{ + /* NOTHING */ +} + + +/*------------------------------------------------------------------------------ + * Name : GW_SmartCounter constructor + * + * \param Dup EXPLANATION + * \return PUT YOUR RETURN VALUE AND ITS EXPLANATION + * \author Antoine Bouthors 2001-11-24 + * + * PUT YOUR COMMENTS HERE + *------------------------------------------------------------------------------*/ +GW_INLINE +GW_SmartCounter::GW_SmartCounter( const GW_SmartCounter& Dup ) +: nReferenceCounter_(0) +{ + /* NOTHING */ +} + + +/*------------------------------------------------------------------------------ + * Name : GW_SmartCounter::operator + * + * \param Dup EXPLANATION + * \return PUT YOUR RETURN VALUE AND ITS EXPLANATION + * \author Antoine Bouthors 2001-11-24 + * + * PUT YOUR COMMENTS HERE + *------------------------------------------------------------------------------*/ +GW_INLINE +GW_SmartCounter& GW_SmartCounter::operator=( const GW_SmartCounter& Dup ) +{ + nReferenceCounter_ = 0; + return (*this); +} + + + +/*------------------------------------------------------------------------------*/ +/** + * Name : GW_SmartCounter destructor + * + * \author Gabriel Peyré 2001-09-12 + * + * Check that nobody is still using the object. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_SmartCounter::~GW_SmartCounter() +{ + GW_ASSERT( nReferenceCounter_==0 ); +} + + + +/*------------------------------------------------------------------------------*/ +/** + * Name : GW_SmartCounter::UseIt + * + * \author Gabriel Peyré 2001-09-10 + * + * Declare that we use this object. We must call \c ReleaseIt when we no longer use this object. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_SmartCounter::UseIt() +{ + GW_ASSERT( nReferenceCounter_<=50000 ); + nReferenceCounter_++; +} + + +/*------------------------------------------------------------------------------*/ +/** + * Name : GW_SmartCounter::ReleaseIt + * + * \author Gabriel Peyré 2001-09-10 + * + * Declare that we no longer use this object. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_SmartCounter::ReleaseIt() +{ + GW_ASSERT( nReferenceCounter_>0 ); + nReferenceCounter_--; +} + + +/*------------------------------------------------------------------------------*/ +/** + * Name : GW_SmartCounter::NoLongerUsed + * + * \return true if no one use this object anymore. + * \author Gabriel Peyré 2001-09-10 + * + * We can delete the object only if \c NoLongerUsed return true. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +bool GW_SmartCounter::NoLongerUsed() +{ + GW_ASSERT( nReferenceCounter_>=0 ); + return nReferenceCounter_==0; +} + + + +/*------------------------------------------------------------------------------ + * Name : GW_SmartCounter::GetReferenceCounter + * + * \return the value of the reference counter + * \author Antoine Bouthors 2001-11-30 + * + *------------------------------------------------------------------------------*/ +GW_INLINE +GW_I32 GW_SmartCounter::GetReferenceCounter() +{ + return nReferenceCounter_; +} + + +} // End namespace GW + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (C) 2000-2001 The Orion3D Rewiew Board // +//---------------------------------------------------------------------------// +// This file is under the Orion3D licence. // +// Refer to orion3d_licence.txt for more details about the Orion3D Licence. // +//---------------------------------------------------------------------------// +// Ce fichier est soumis a la Licence Orion3D. // +// Se reporter a orion3d_licence.txt pour plus de details sur cette licence.// +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Vertex.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Vertex.cpp new file mode 100644 index 0000000..b4c3e11 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Vertex.cpp @@ -0,0 +1,609 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Vertex.cpp + * \brief Definition of class \c GW_Vertex + * \author Gabriel Peyré + * \date 2-15-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_Vertex.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_Vertex.h" +#include "GW_Face.h" +#include "GW_FaceIterator.h" +#include "GW_VertexIterator.h" +#include "GW_Mesh.h" + +#ifndef GW_USE_INLINE + #include "GW_Vertex.inl" +#endif + +using namespace GW; + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::operator= +/** + * \param v [GW_Vertex&] Vertex + * \return [GW_Vertex&] *this + * \author Gabriel Peyré + * \date 1-13-2004 + * + * Copy operator + */ +/*------------------------------------------------------------------------------*/ +GW_Vertex& GW_Vertex::operator=(const GW_Vertex& Vert) +{ + this->Position_ = Vert.Position_; + this->Normal_ = Vert.Normal_; + this->CurvDirMin_ = Vert.CurvDirMin_; + this->CurvDirMax_ = Vert.CurvDirMax_; + this->rMinCurv_ = Vert.rMinCurv_; + this->rMaxCurv_ = Vert.rMaxCurv_; + this->TexCoords_[0] = Vert.TexCoords_[0]; + this->TexCoords_[1] = Vert.TexCoords_[1]; + this->pFace_ = NULL; // to be set later + this->nID_ = Vert.nID_; + return *this; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::SetFace +/** + * \param Face [GW_Face&] The parent face we are managed by. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Set the parent face. + */ +/*------------------------------------------------------------------------------*/ +void GW_Vertex::SetFace( GW_Face& Face ) +{ + pFace_ = &Face; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetFace +/** + * \return [GW_Face*] The face. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Set the face we are managed by. + */ +/*------------------------------------------------------------------------------*/ +GW_Face* GW_Vertex::GetFace() +{ + return pFace_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetFace +/** +* \return [GW_Face*] The face. +* \author Gabriel Peyré +* \date 2-15-2003 +* +* Set the face we are managed by. +*/ +/*------------------------------------------------------------------------------*/ +const GW_Face* GW_Vertex::GetFace() const +{ + return pFace_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::BeginFaceIterator +/** + * \return [GW_FaceIterator] The iterator. + * \author Gabriel Peyré + * \date 4-1-2003 + * + * Begin iterator on the surrounding of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_FaceIterator GW_Vertex::BeginFaceIterator() +{ + if( this->GetFace()==NULL ) + { + return this->EndFaceIterator(); + } + else + { + return GW_FaceIterator( this->GetFace(), this, this->GetFace()->GetNextVertex(*this) ); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::EndFaceIterator +/** + * \return [GW_FaceIterator] The iterator. + * \author Gabriel Peyré + * \date 4-1-2003 + * + * End iterator for the surrounding of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_FaceIterator GW_Vertex::EndFaceIterator() +{ + return GW_FaceIterator(NULL,NULL,NULL); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::BeginVertexIterator +/** +* \return [GW_VertexIterator] The iterator. +* \author Gabriel Peyré +* \date 4-1-2003 +* +* Begin iterator on the surrounding of the vertex. +*/ +/*------------------------------------------------------------------------------*/ +GW_VertexIterator GW_Vertex::BeginVertexIterator() +{ + if( this->GetFace()==NULL ) + { + return this->EndVertexIterator(); + } + else + { + return GW_VertexIterator( this->GetFace(), this, this->GetFace()->GetNextVertex(*this), NULL ); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::EndVertexIterator +/** +* \return [GW_VertexIterator] The iterator. +* \author Gabriel Peyré +* \date 4-1-2003 +* +* End iterator for the surrounding of the vertex. +*/ +/*------------------------------------------------------------------------------*/ +GW_VertexIterator GW_Vertex::EndVertexIterator() +{ + return GW_VertexIterator(NULL,NULL,NULL,NULL); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetFaces +/** + * \param Vert [GW_Vertex&] The other vertex. + * \param pFace1 [GW_Face*&] First face. + * \param pFace2 [GW_Face*&] Second face. + * \author Gabriel Peyré + * \date 4-19-2003 + * + * Get the face around this vertex and another one. + */ +/*------------------------------------------------------------------------------*/ +void GW_Vertex::GetFaces( const GW_Vertex& Vert, GW_Face*& pFace1, GW_Face*& pFace2 ) +{ + pFace1 = NULL; + pFace2 = NULL; + for( GW_VertexIterator it=this->BeginVertexIterator(); it!=this->EndVertexIterator(); ++it ) + { + GW_Vertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + if( pVert==&Vert ) + { + pFace1 = it.GetLeftFace(); + pFace2 = it.GetRightFace(); + return; + } + } +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::BuildRawNormal +/** +* \author Gabriel Peyré +* \date 4-2-2003 +* +* Compute the normal at the vertex using a very simple scheme. +*/ +/*------------------------------------------------------------------------------*/ +void GW_Vertex::BuildRawNormal() +{ + GW_Vector3D FaceNormal; + + Normal_.SetZero(); + GW_U32 nIter = 0; + for( GW_FaceIterator it = this->BeginFaceIterator(); it!=this->EndFaceIterator(); ++it ) + { + GW_Face* pFace = *it; + GW_ASSERT( pFace!=NULL ); + FaceNormal = (pFace->GetVertex(0)->GetPosition()-pFace->GetVertex(1)->GetPosition()) ^ + (pFace->GetVertex(0)->GetPosition()-pFace->GetVertex(2)->GetPosition()); + FaceNormal.Normalize(); + Normal_ += FaceNormal; + nIter++; + if( nIter>20 ) + break; + } + Normal_.Normalize(); +} + +GW_Float GW_Vertex::rTotalArea_ = 0; +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::BuildCurvatureData +/** +* \author Gabriel Peyré +* \date 4-2-2003 +* +* Compute all curvature data using comlex schemes. This includes +* normal, curvatures and curvature directions. +*/ +/*------------------------------------------------------------------------------*/ +void GW_Vertex::BuildCurvatureData() +{ + if( this->GetFace()==NULL ) + { + Normal_ = GW_Vector3D(0,0,1); + CurvDirMin_ = GW_Vector3D(1,0,0); + CurvDirMax_ = GW_Vector3D(0,1,0); + rMinCurv_ = rMaxCurv_ = 0; + return; + } + + GW_Float rArea; + this->ComputeNormalAndCurvature( rArea ); + this->ComputeCurvatureDirections( rArea ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::ComputeNormalAndCurvature +/** + * \author Gabriel Peyré + * \date 4-14-2003 + * + * Compute the normal via local averaging. Compute also the normal. + */ +/*------------------------------------------------------------------------------*/ +void GW_Vertex::ComputeNormalAndCurvature( GW_Float& rArea ) +{ + GW_Vector3D CurEdge; + GW_Vector3D CurEdgeNormalized; + GW_Float rCurEdgeLength; + GW_Float rCotan; + GW_Vector3D TempEdge1, TempEdge2; + GW_Float rTempEdge1Length, rTempEdge2Length; + GW_Float rAngle, rInnerAngle; + GW_Vertex* pTempVert = NULL; + GW_Float rDotP; + + Normal_.SetZero(); + rArea = 0; + GW_Float rGaussianCurv = 0; + + for( GW_VertexIterator it = this->BeginVertexIterator(); it!=this->EndVertexIterator(); ++it ) + { + GW_Vertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + CurEdge = pVert->GetPosition() - this->GetPosition(); + rCurEdgeLength = CurEdge.Norm(); + CurEdgeNormalized = CurEdge/rCurEdgeLength; + + /* here we store the value of the sum of the cotan */ + rCotan = 0; + + /* compute left angle */ + pTempVert = it.GetLeftVertex(); + if( pTempVert!=NULL ) + { + TempEdge1 = this->GetPosition() - pTempVert->GetPosition(); + TempEdge2 = pVert->GetPosition() - pTempVert->GetPosition(); + + TempEdge1.Normalize(); + TempEdge2.Normalize(); + /* we use tan(acos(x))=sqrt(1-x^2)/x */ + rDotP = TempEdge1*TempEdge2; + if( rDotP!=1 && rDotP!=-1 ) + rCotan += (GW_Float) rDotP/((GW_Float) sqrt(1-rDotP*rDotP)); + } + + /* compute right angle AND Gaussian contribution */ + pTempVert = it.GetRightVertex(); + if( pTempVert!=NULL ) + { + TempEdge1 = this->GetPosition() - pTempVert->GetPosition(); + TempEdge2 = pVert->GetPosition() - pTempVert->GetPosition(); + rTempEdge1Length = TempEdge1.Norm(); + rTempEdge2Length = TempEdge2.Norm(); + TempEdge1 /= rTempEdge1Length; + TempEdge2 /= rTempEdge2Length; + rAngle = (GW_Float) acos( -(TempEdge1 * CurEdgeNormalized) ); + /* we use tan(acos(x))=sqrt(1-x^2)/x */ + rDotP = TempEdge1*TempEdge2; + rInnerAngle = (GW_Float) acos( rDotP ); + if( rDotP!=1 && rDotP!=-1 ) + rCotan += rDotP/((GW_Float) sqrt(1-rDotP*rDotP)); + + rGaussianCurv += rAngle; + + /* compute the contribution to area, testing for special obtuse angle */ + if( rAngle=GW_HALFPI ) + { + /* obtuse at the central vertex : 0.5*area(T) */ + rArea += 0.25*rCurEdgeLength*rTempEdge1Length* ~(CurEdgeNormalized^TempEdge1); + } + else + { + /* obtuse at one of side vertex */ + rArea += 0.125*rCurEdgeLength*rTempEdge1Length* ~(CurEdgeNormalized^TempEdge1); + } + } + GW_CHECK_MATHSBIT(); + + /* add the contribution to Normal */ + Normal_ -= CurEdge*rCotan; + } + GW_CHECK_MATHSBIT(); + + GW_ASSERT( rArea!=0 ); // remove this ! + + /* the Gaussian curv */ + rGaussianCurv = (GW_TWOPI - rGaussianCurv)/rArea; + /* compute Normal and mean curv */ + Normal_ /= 4.0*rArea; + GW_Float rMeanCurv = Normal_.Norm(); + if( GW_ABS(rMeanCurv)>GW_EPSILON ) + { + GW_Vector3D Normal = Normal_/rMeanCurv; + /* see if we need to flip the normal */ + this->BuildRawNormal(); + if( Normal*Normal_<0 ) + Normal_ = -Normal; + else + Normal_ = Normal; + } + else + { + /* we must use another method to compute normal */ + this->BuildRawNormal(); + } + + GW_Vertex::rTotalArea_ += rArea; + + /* compute the two curv values */ + GW_Float rDelta = rMeanCurv*rMeanCurv - rGaussianCurv; + if( rDelta<0 ) + rDelta = 0; + rDelta = sqrt(rDelta); + rMinCurv_ = rMeanCurv - rDelta; + rMaxCurv_ = rMeanCurv + rDelta; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::ComputeCurvatureDirections +/** + * \author Gabriel Peyré + * \date 4-14-2003 + * + * Compute the principal curvature directions via least square + * minimization. The normal should be computed BEFORE. + */ +/*------------------------------------------------------------------------------*/ +void GW_Vertex::ComputeCurvatureDirections( GW_Float rArea ) +{ + GW_Vector3D CurEdge; + GW_Vector3D CurEdgeNormalized; + GW_Float rCurEdgeLength; + GW_Float rCotan; + GW_Vector3D TempEdge1, TempEdge2; + GW_Vertex* pTempVert = NULL; + GW_Float rDotP; + + /***********************************************************************************/ + /* compute the two curvature directions */ + /* (v1,v2) form a basis of the tangent plante */ + GW_Vector3D v1 = Normal_ ^ GW_Vector3D(0,0,1); + GW_Float rNorm = v1.Norm(); + if( rNormGW_EPSILON ); + } + v1 /= rNorm; + GW_Vector3D v2 = Normal_ ^ v1; + + /* now we must find the curvature matrix entry by minimising a mean square problem + the 3 entry of the symetric curvature matrix in (v1,v2) basis are (a,b,c), stored in vector x. + IMPORTANT : we must ensure aBeginVertexIterator(); it!=this->EndVertexIterator(); ++it ) + { + GW_Vertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + CurEdge = pVert->GetPosition() - this->GetPosition(); + rCurEdgeLength = CurEdge.Norm(); + CurEdgeNormalized = CurEdge/rCurEdgeLength; + + /* here we store the value of the sum of the cotan */ + rCotan = 0; + + /* compute projection onto v1,v2 basis */ + d1 = v1*CurEdge; + d2 = v2*CurEdge; + rNorm = sqrt(d1*d1 + d2*d2); + if( rNorm>0 ) + { + d1 /= rNorm; + d2 /= rNorm; + } + + /* compute left angle */ + pTempVert = it.GetLeftVertex(); + if( pTempVert!=NULL ) + { + TempEdge1 = this->GetPosition() - pTempVert->GetPosition(); + TempEdge2 = pVert->GetPosition() - pTempVert->GetPosition(); + TempEdge1.Normalize(); + TempEdge2.Normalize(); + /* we use tan(acos(x))=sqrt(1-x^2)/x */ + rDotP = TempEdge1*TempEdge2; + if( rDotP!=1 && rDotP!=-1 ) + rCotan += rDotP/sqrt(1-rDotP*rDotP); + } + + /* compute right angle AND Gaussian contribution */ + pTempVert = it.GetRightVertex(); + if( pTempVert!=NULL ) + { + TempEdge1 = this->GetPosition() - pTempVert->GetPosition(); + TempEdge2 = pVert->GetPosition() - pTempVert->GetPosition(); + TempEdge1.Normalize(); + TempEdge2.Normalize(); + /* we use tan(acos(x))=sqrt(1-x^2)/x */ + rDotP = TempEdge1*TempEdge2; + if( rDotP!=1 && rDotP!=-1 ) + rCotan += (GW_Float) rDotP/sqrt(1-rDotP*rDotP); + + } + GW_CHECK_MATHSBIT(); + + /*compute weight */ + w = 0.125/rArea*rCotan*rCurEdgeLength*rCurEdgeLength; + /* compute directional curvature */ + k = -2*(CurEdge*Normal_)/(rCurEdgeLength*rCurEdgeLength); + k = k-(rMinCurv_+rMaxCurv_); // modified by the fact that we use a+c=2*MeanCurv + /* add contribution to M matrix and D vector*/ + M00 += w*(d1*d1-d2*d2)*(d1*d1-d2*d2); + M11 += 4*w*d1*d1*d2*d2; + M01 += 2*w*(d1*d1-d2*d2)*d1*d2; + D[0] += w*k*( d1*d1-d2*d2); + D[1] += 2*w*k*d1*d2; + } + GW_CHECK_MATHSBIT(); + + /* solve the system */ + GW_Float rDet = M00*M11 - M01*M01; + if( rDet!=0 ) + { + /* The inverse matrix is : | M11 -M01| + 1/rDet * |-M01 M00| */ + a = 1/rDet * ( M11*D[0] - M01*D[1] ); + b = 1/rDet * (-M01*D[0] + M00*D[1] ); + } + + c = (rMinCurv_+rMaxCurv_) - a; + // GW_ORDER(a,c); + + /* compute the direction via Givens rotations */ + GW_Float rTheta; + if( GW_ABS(c-a) < GW_EPSILON ) + { + if( b==0 ) + rTheta = 0; + else + rTheta = GW_HALFPI; + } + else + { + rTheta = (GW_Float) 2.0f*b/(c-a); + rTheta = (GW_Float) 0.5f*atan(rTheta); + } + + GW_CHECK_MATHSBIT(); + + CurvDirMin_ = v1*cos(rTheta) - v2*sin(rTheta); + CurvDirMax_ = v1*sin(rTheta) + v2*cos(rTheta); + + GW_Float vp1 = 0, vp2 = 0; + if( rTheta!=0 ) + { + GW_Float r1 = a*cos(rTheta) - b*sin(rTheta); + GW_Float r2 = b*cos(rTheta) - c*sin(rTheta); + r1 =(GW_Float) r1/cos(rTheta); + r2 = (GW_Float) -r2/sin(rTheta); + vp1 = r1; +// GW_ASSERT( GW_ABS(r1-r2)<0.001*GW_ABS(r1) ); + + r1 = (GW_Float) a*sin(rTheta) + b*cos(rTheta); + r2 = (GW_Float) b*sin(rTheta) + c*cos(rTheta); + r1 = (GW_Float) r1/sin(rTheta); + r2 = (GW_Float) r2/cos(rTheta); + vp2 = r2; +// GW_ASSERT( GW_ABS(r1-r2)<0.001*GW_ABS(r1) ); + } + + if( vp1>vp2 ) + { + GW_Vector3D vtemp = CurvDirMin_; + CurvDirMin_ = CurvDirMax_; + CurvDirMax_ = vtemp; + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetNumberNeighbor +/** + * \return [GW_U32] Answer. + * \author Gabriel Peyré + * \date 6-6-2003 + * + * Get the number of neighbors around this vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_U32 GW_Vertex::GetNumberNeighbor() +{ + GW_U32 nNum = 0; + for( GW_VertexIterator it = this->BeginVertexIterator(); it!=this->EndVertexIterator(); ++it ) + nNum++; + return nNum; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::IsBoundaryVertex +/** + * \return [GW_U32] Answer. + * \author Gabriel Peyré + * \date 6-6-2003 + * + * Test if the vertex is a boundary one. + */ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_Vertex::IsBoundaryVertex() +{ + for( GW_VertexIterator it = this->BeginVertexIterator(); it!=this->EndVertexIterator(); ++it ) + { + if( it.GetLeftFace()==NULL || it.GetRightFace()==NULL ) + return GW_True; + } + return GW_False; +} + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Vertex.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Vertex.h new file mode 100644 index 0000000..de5854d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Vertex.h @@ -0,0 +1,203 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Vertex.h + * \brief Definition of class \c GW_Vertex + * \author Gabriel Peyré + * \date 2-12-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_VERTEX_H_ +#define _GW_VERTEX_H_ + +#include "GW_Config.h" +#include "GW_SmartCounter.h" + +namespace GW { + +class GW_Face; +class GW_FaceIterator; +class GW_VertexIterator; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_Vertex + * \brief A vertex, with it's normal and position. + * \author Gabriel Peyré + * \date 2-12-2003 + * + * This is a simple vertex, with only position, normal, and texture + * coordinates. + * + * More elaborate vertex may derive from this base class. + * + * To find it self on the mesh connectivity, a vertex has a pointer + * on a face it belongs to. This enable to march on the vertex face-neighborhood, etc. + */ +/*------------------------------------------------------------------------------*/ + +class GW_Vertex: public GW_SmartCounter +{ + +public: + + static GW_Float rTotalArea_; + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_Vertex(); + virtual ~GW_Vertex(); + virtual GW_Vertex& operator=(const GW_Vertex& v); + //@} + + //------------------------------------------------------------------------- + /** \name Acessors */ + //------------------------------------------------------------------------- + //@{ + void SetPosition( const GW_Vector3D& Position ); + GW_Vector3D& GetPosition(); + void SetNormal( GW_Vector3D& Normal ); + void SetTexCoords( GW_Float u, GW_Float v ); + void SetTexCoordU( GW_Float u ); + void SetTexCoordV( GW_Float v ); + GW_Float GetTexCoordU(); + GW_Float GetTexCoordV(); + + void SetFace( GW_Face& Face ); + GW_Face* GetFace(); + const GW_Face* GetFace() const; + + void GetFaces( const GW_Vertex& Vert, GW_Face*& pFace1, GW_Face*& pFace2 ); + + void SetID(GW_U32 nID); + GW_U32 GetID() const; + + GW_U32 GetNumberNeighbor(); + GW_Bool IsBoundaryVertex(); + //@} + + //------------------------------------------------------------------------- + /** \name Caracteristic data management. */ + //------------------------------------------------------------------------- + //@{ + void BuildRawNormal(); + void BuildCurvatureData(); + //@} + + //------------------------------------------------------------------------- + /** \name Iterator management. */ + //------------------------------------------------------------------------- + //@{ + GW_FaceIterator BeginFaceIterator(); + GW_FaceIterator EndFaceIterator(); + + GW_VertexIterator BeginVertexIterator(); + GW_VertexIterator EndVertexIterator(); + //@} + + //------------------------------------------------------------------------- + /** \name Curvature accessors. */ + //------------------------------------------------------------------------- + //@{ + GW_Float GetMinCurv(); + GW_Float GetMaxCurv(); + GW_Float GetGaussianCurv(); + GW_Float GetMeanCurv(); + GW_Float GetMaxAbsCurv(); + GW_Vector3D& GetNormal(); + GW_Vector3D& GetMinCurvDirection(); + GW_Vector3D& GetMaxCurvDirection(); + //@} + + void SetUserData( GW_SmartCounter* pUserData ); + GW_SmartCounter* GetUserData(); + + //------------------------------------------------------------------------- + /** \name ID helpers */ + //------------------------------------------------------------------------- + //@{ + static GW_U32 ComputeUniqueId( const GW_Vertex& Vert0, const GW_Vertex& Vert1 ); + static GW_U32 ComputeUniqueId( const GW_Vertex& Vert0, const GW_Vertex& Vert1, const GW_Vertex& Vert2 ); + //@} + + +private: + + void ComputeNormalAndCurvature( GW_Float& rArea ); + void ComputeCurvatureDirections( GW_Float rArea ); + + /** Position of the vertex */ + GW_Vector3D Position_; + /** Normal of the vertex */ + GW_Vector3D Normal_; + /** Minimum curvature direction */ + GW_Vector3D CurvDirMin_; + /** maximum curvature direction */ + GW_Vector3D CurvDirMax_; + /** Minimum curvature */ + GW_Float rMinCurv_; + /** Maximum curvature */ + GW_Float rMaxCurv_; + /** Texture coords */ + GW_Float TexCoords_[2]; + /** A pointer on the face which owned the vertex */ + GW_Face* pFace_; + /** The ID the face, given by the Mesh. Should be in the range [0,...,NbrVertex] */ + GW_U32 nID_; + + /** a user defined data */ + GW_SmartCounter* pUserData_; + +}; + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_Vertex */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_VertexVector; +typedef T_VertexVector::iterator IT_VertexVector; +typedef T_VertexVector::reverse_iterator RIT_VertexVector; +typedef T_VertexVector::const_iterator CIT_VertexVector; +typedef T_VertexVector::const_reverse_iterator CRIT_VertexVector; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a list of GW_Vertex */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::list T_VertexList; +typedef T_VertexList::iterator IT_VertexList; +typedef T_VertexList::reverse_iterator RIT_VertexList; +typedef T_VertexList::const_iterator CIT_VertexList; +typedef T_VertexList::const_reverse_iterator CRIT_VertexList; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_Vertex */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_VertexMap; +typedef T_VertexMap::iterator IT_VertexMap; +typedef T_VertexMap::reverse_iterator RIT_VertexMap; +typedef T_VertexMap::const_iterator CIT_VertexMap; +typedef T_VertexMap::const_reverse_iterator CRIT_VertexMap; +//@} + + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_Vertex.inl" +#endif + + +#endif // _GW_VERTEX_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Vertex.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Vertex.inl new file mode 100644 index 0000000..685aaec --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_Vertex.inl @@ -0,0 +1,440 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Vertex.inl + * \brief Inlined methods for \c GW_Vertex + * \author Gabriel Peyré + * \date 2-15-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_Vertex.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex constructor +/** + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vertex::GW_Vertex() +: Position_ ( 0,0,0 ), + Normal_ ( 0,0,1 ), + CurvDirMin_ ( 1,0,0 ), + CurvDirMax_ ( 0,1,0 ), + pFace_ ( NULL ), + rMinCurv_ ( 0 ), + rMaxCurv_ ( 0 ), + nID_ ( 0 ), + pUserData_ ( NULL ) +{ + TexCoords_[0] = TexCoords_[1] = 0; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex destructor +/** + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vertex::~GW_Vertex() +{ + if( pUserData_!=NULL ) + GW_SmartCounter::CheckAndDelete( pUserData_ ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::SetPosition +/** + * \param Position [GW_Vector3D&] The new position. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Set the position of the vertex (in the local coords system of + * the mesh) + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Vertex::SetPosition( const GW_Vector3D& Position ) +{ + Position_ = Position; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetPosition +/** + * \return [GW_Vector3D&] The position. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Return the position, in local frame. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vector3D& GW_Vertex::GetPosition() +{ + return Position_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::SetNormal +/** + * \param Normal [GW_Vector3D&] The normal. Should not be face-based if you want to use gouraud shading. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Set the normal to the mesh, on the location of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Vertex::SetNormal( GW_Vector3D& Normal ) +{ + Normal_ = Normal; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetNormal +/** + * \return [GW_Vector3D&] The normal. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * The normal ot the mesh. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vector3D& GW_Vertex::GetNormal() +{ + return Normal_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::SetTexCoords +/** + * \param u [GW_Float] U coord + * \param v [GW_Float] V coord + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Texture coordonates. Should be in [O,1] + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Vertex::SetTexCoords( GW_Float u, GW_Float v ) +{ + TexCoords_[0] = u; + TexCoords_[1] = v; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::SetTexCoordU +/** + * \param u [GW_Float] U coord + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Only set U coord + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Vertex::SetTexCoordU( GW_Float u ) +{ + TexCoords_[0] = u; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::SetTexCoordV +/** +* \param v [GW_Float] V coord +* \author Gabriel Peyré +* \date 2-15-2003 +* +* Only set V coord +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Vertex::SetTexCoordV( GW_Float v ) +{ + TexCoords_[1] = v; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetTexCoordU +/** + * \return [GW_Float] U coord + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get U component. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_Vertex::GetTexCoordU() +{ + return TexCoords_[0]; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetTexCoordV +/** + * \return [GW_Float] V coord. + * \author Gabriel Peyré + * \date 2-15-2003 + * + * Get V coord. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_Vertex::GetTexCoordV() +{ + return TexCoords_[1]; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::void SetID +/** + * \param nID [GW_U32] New ID + * \author Gabriel Peyré + * \date 3-31-2003 + * + * Set the number of the vertex in the mesh. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Vertex::SetID(GW_U32 nID) +{ + nID_ = nID; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetID +/** + * \return [GW_U32] The ID + * \author Gabriel Peyré + * \date 3-31-2003 + * + * Get the ID of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_U32 GW_Vertex::GetID() const +{ + return nID_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetMinCurv +/** + * \return [GW_Float] The value. + * \author Gabriel Peyré + * \date 4-3-2003 + * + * Get the minimum curvature value. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_Vertex::GetMinCurv() +{ + return rMinCurv_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetMaxCurv +/** +* \return [GW_Float] The value. +* \author Gabriel Peyré +* \date 4-3-2003 +* +* Get the maximum curvature value. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_Vertex::GetMaxCurv() +{ + return rMaxCurv_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetGaussianCurv +/** +* \return [GW_Float] The value. +* \author Gabriel Peyré +* \date 4-3-2003 +* +* Get the gaussian curvature value. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_Vertex::GetGaussianCurv() +{ + return rMaxCurv_*rMinCurv_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetMeanCurv +/** +* \return [GW_Float] The value. +* \author Gabriel Peyré +* \date 4-3-2003 +* +* Get the mean curvature value. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_Vertex::GetMeanCurv() +{ + return (GW_Float) 0.5*(rMaxCurv_+rMinCurv_); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetMaxAbsCurv +/** +* \return [GW_Float] The value. +* \author Gabriel Peyré +* \date 4-3-2003 +* +* Get the maximum of absolute values of the max/min curvature. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_Vertex::GetMaxAbsCurv() +{ + return GW_MAX( GW_ABS(rMaxCurv_), GW_ABS(rMinCurv_)); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetMinCurvDirection +/** + * \return [GW_Vector3D&] The direction. + * \author Gabriel Peyré + * \date 4-3-2003 + * + * Get the minimum curvature direction. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vector3D& GW_Vertex::GetMinCurvDirection() +{ + return CurvDirMin_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetMaxCurvDirection +/** +* \return [GW_Vector3D&] The direction. +* \author Gabriel Peyré +* \date 4-3-2003 +* +* Get the maximum curvature direction. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vector3D& GW_Vertex::GetMaxCurvDirection() +{ + return CurvDirMax_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::SetUserData +/** + * \param pUserData [GW_SmartCounter*] The new used data. + * \author Gabriel Peyré + * \date 5-30-2003 + * + * Set a user data. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Vertex::SetUserData( GW_SmartCounter* pUserData ) +{ + if( pUserData_!=NULL ) + GW_SmartCounter::CheckAndDelete( pUserData_ ); + pUserData_ = pUserData; + if( pUserData_!=NULL ) + pUserData_->UseIt(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::GetUserData +/** + * \return [GW_SmartCounter*] The user data. + * \author Gabriel Peyré + * \date 5-30-2003 + * + * Get the user data. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_SmartCounter* GW_Vertex::GetUserData() +{ + return pUserData_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::ComputeUniqueId +/** +* \param Vert0 [GW_Vertex&] 1st vertex. +* \param Vert1 [GW_Vertex&] 2nd vertex. +* \param Vert2 [GW_Vertex&] 3rd vertex. +* \author Gabriel Peyré +* \date 4-13-2003 +* +* Compute an ID for the unordered 3-uplet. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_U32 GW_Vertex::ComputeUniqueId( const GW_Vertex& Vert0, const GW_Vertex& Vert1, const GW_Vertex& Vert2 ) +{ + GW_U32 nId0 = Vert0.GetID(); + GW_U32 nId1 = Vert1.GetID(); + GW_U32 nId2 = Vert2.GetID(); + /* classify the Id */ + GW_ORDER( nId0, nId1 ); + GW_ORDER( nId1, nId2 ); + GW_ORDER( nId0, nId1 ); + return (GW_U32) nId0 + (nId1<<10) + (nId2<<20); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Vertex::ComputeUniqueId +/** +* \param Vert0 [GW_Vertex&] 1st vertex. +* \param Vert1 [GW_Vertex&] 2nd vertex. +* \author Gabriel Peyré +* \date 4-13-2003 +* +* Compute an ID for the unordered 2-uplet. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_U32 GW_Vertex::ComputeUniqueId( const GW_Vertex& Vert0, const GW_Vertex& Vert1 ) +{ + GW_U32 nId0 = Vert0.GetID(); + GW_U32 nId1 = Vert1.GetID(); + /* classify the Id */ + GW_ORDER( nId0, nId1 ); + return (GW_U32) nId0 + (nId1<<15); +} + + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_VertexIterator.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_VertexIterator.cpp new file mode 100644 index 0000000..62ec86c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_VertexIterator.cpp @@ -0,0 +1,225 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VertexIterator.cpp + * \brief Definition of class \c GW_VertexIterator + * \author Gabriel Peyré + * \date 4-2-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_VertexIterator.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_VertexIterator.h" +#include "GW_Face.h" + +using namespace GW; + +GW_VertexIterator::GW_VertexIterator( GW_Face* pFace, GW_Vertex* pOrigin, GW_Vertex* pDirection, GW_Face* pPrevFace, GW_U32 nNbrIncrement ) +: pFace_ ( pFace), + pOrigin_ ( pOrigin ), + pDirection_ ( pDirection ), + pPrevFace_ ( pPrevFace ), + nNbrIncrement_ ( nNbrIncrement ) +{ } + +/* assignement */ +GW_VertexIterator& GW_VertexIterator::operator=( const GW_VertexIterator& it) +{ + this->pFace_ = it.pFace_; + this->pOrigin_ = it.pOrigin_; + this->pDirection_ = it.pDirection_; + this->pPrevFace_ = it.pPrevFace_; + this->nNbrIncrement_= it.nNbrIncrement_; + return *this; +} + +/* egality */ +GW_Bool GW_VertexIterator::operator==( const GW_VertexIterator& it) +{ + return (this->pFace_==it.pFace_) + && (this->pOrigin_==it.pOrigin_) + && (this->pDirection_==it.pDirection_) + && (this->pPrevFace_==it.pPrevFace_); +} + +/* egality */ +GW_Bool GW_VertexIterator::operator!=( const GW_VertexIterator& it) +{ + return (this->pFace_!=it.pFace_) + || (this->pOrigin_!=it.pOrigin_) + || (this->pDirection_!=it.pDirection_) + || (this->pPrevFace_!=it.pPrevFace_); +} + + +/* egality */ +GW_Vertex* GW_VertexIterator::operator*( ) +{ + return this->pDirection_; +} + +/* progression : \todo take in acount NULL pointer */ +void GW_VertexIterator::operator++() +{ + if( this->nNbrIncrement_>100 ) + { + GW_ASSERT( GW_False ); + (*this) = GW_VertexIterator(NULL,NULL,NULL,NULL); + return; + } + + if( pFace_==NULL && pOrigin_!=NULL ) + { + GW_ASSERT(pDirection_!=NULL); + /* we are on a border face : Rewind on the first face */ + while( pPrevFace_!=NULL ) + { + pFace_ = pPrevFace_; + pPrevFace_ = pPrevFace_->GetFaceNeighbor( *pDirection_ ); + pDirection_ = pFace_->GetVertex( *pOrigin_, *pDirection_ ); + } + if( pFace_==pOrigin_->GetFace() ) + { + // we are on End. + (*this) = GW_VertexIterator(NULL,NULL,NULL,NULL); + } + else + { + (*this) = GW_VertexIterator( pFace_, pOrigin_, pDirection_, pPrevFace_, nNbrIncrement_+1 ); + } + return; + } + + if( pFace_!=NULL && pDirection_!=NULL && pOrigin_!=NULL ) + { + GW_Face* pNextFace = pFace_->GetFaceNeighbor( *pDirection_ ); + /* check for end() */ + if( pNextFace==pOrigin_->GetFace() ) + { + (*this) = GW_VertexIterator(NULL,NULL,NULL,NULL); + } + else + { + GW_Vertex* pNextDirection = pFace_->GetVertex( *pOrigin_, *pDirection_ ); + GW_ASSERT( pNextDirection!=NULL ); + /* RMK : pNextFace can be NULL in case of a border edge */ + (*this) = GW_VertexIterator( pNextFace, pOrigin_, pNextDirection, pFace_, nNbrIncrement_+1 ); + } + } + else + { + (*this) = GW_VertexIterator(NULL,NULL,NULL,NULL); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VertexIterator::GetLeftFace +/** + * \return [GW_Face*] Can be NULL. + * \author Gabriel Peyré + * \date 4-3-2003 + * + * Get the face in the left of the current edge. + */ +/*------------------------------------------------------------------------------*/ +GW_Face* GW_VertexIterator::GetLeftFace() +{ + if( pDirection_==NULL ) + return NULL; + if( pPrevFace_!=NULL ) + { + /* we must use prev-face because we can be on a border vertex. */ + return pPrevFace_;; + } + else + { + GW_ASSERT( pFace_!=NULL ); + GW_ASSERT( pOrigin_!=NULL ); + return pFace_->GetFaceNeighbor( *pDirection_,*pOrigin_ ); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VertexIterator::GetRightFace +/** +* \return [GW_Face*] Can be NULL. +* \author Gabriel Peyré +* \date 4-3-2003 +* +* Get the face in the right of the current edge. +*/ +/*------------------------------------------------------------------------------*/ +GW_Face* GW_VertexIterator::GetRightFace() +{ + return pFace_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VertexIterator::GetRightVertex +/** + * \return [GW_Vertex*] Can be NULL + * \author Gabriel Peyré + * \date 4-3-2003 + * + * Get the vertex just after. + */ +/*------------------------------------------------------------------------------*/ +GW_Vertex* GW_VertexIterator::GetRightVertex() +{ + if( pDirection_==NULL ) + return NULL; + if( pFace_==NULL ) + { + return NULL; + } + else + { + GW_ASSERT( pOrigin_!=NULL ); + return pFace_->GetVertex( *pDirection_,*pOrigin_ ); + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VertexIterator::GetLeftVertex +/** +* \return [GW_Vertex*] Can be NULL +* \author Gabriel Peyré +* \date 4-3-2003 +* +* Get the vertex just before. +*/ +/*------------------------------------------------------------------------------*/ +GW_Vertex* GW_VertexIterator::GetLeftVertex() +{ + if( pDirection_==NULL ) + return NULL; + if( pPrevFace_!=NULL ) + { + /* we must use prev-face because we can be on a border vertex. */ + GW_ASSERT( pOrigin_!=NULL ); + return pPrevFace_->GetVertex( *pDirection_,*pOrigin_ ); + } + else + { + GW_ASSERT( pFace_!=NULL ); + pPrevFace_ = pFace_->GetFaceNeighbor( *pDirection_,*pOrigin_ ); + if( pPrevFace_!=NULL ) + return pPrevFace_->GetVertex( *pDirection_,*pOrigin_ ); + else + return NULL; + } +} + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_VertexIterator.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_VertexIterator.h new file mode 100644 index 0000000..a970775 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/GW_VertexIterator.h @@ -0,0 +1,80 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VertexIterator.h + * \brief Definition of class \c GW_VertexIterator + * \author Gabriel Peyré + * \date 4-2-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_VERTEXITERATOR_H_ +#define _GW_VERTEXITERATOR_H_ + +#include "GW_Config.h" + +namespace GW { + +class GW_Face; +class GW_Vertex; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_VertexIterator + * \brief An iterator on the vertex around a given vertex. + * \author Gabriel Peyré + * \date 4-2-2003 + * + * To iterate on vertex. + */ +/*------------------------------------------------------------------------------*/ + +class GW_VertexIterator +{ + +public: + + GW_VertexIterator( GW_Face* pFace, GW_Vertex* pOrigin, GW_Vertex* pDirection, GW_Face* pPrevFace, GW_U32 nNbrIncrement = 0 ); + + /* assignement */ + GW_VertexIterator& operator=( const GW_VertexIterator& it); + + /* evaluation */ + GW_Bool operator==( const GW_VertexIterator& it); + GW_Bool operator!=( const GW_VertexIterator& it); + + /* indirection */ + GW_Vertex* operator*( ); + + /* progression */ + void operator++(); + + GW_Face* GetLeftFace(); + GW_Face* GetRightFace(); + + GW_Vertex* GetLeftVertex(); + GW_Vertex* GetRightVertex(); + +private: + + GW_Face* pFace_; + GW_Vertex* pOrigin_; + GW_Vertex* pDirection_; + /* this is needed only for saving time on border edge */ + GW_Face* pPrevFace_; + + /** just for debug purpose */ + GW_U32 nNbrIncrement_; + +}; + +} // End namespace GW + +#endif // _GW_VERTEXITERATOR_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/gw_core.vcproj b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/gw_core.vcproj new file mode 100644 index 0000000..8de9f4b --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/gw_core.vcproj @@ -0,0 +1,366 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/stdafx.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/stdafx.cpp new file mode 100644 index 0000000..509cef4 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/stdafx.cpp @@ -0,0 +1,5 @@ +// stdafx.cpp : source file that includes just the standard includes +// gw_core.pch will be the pre-compiled header +// stdafx.obj will contain the pre-compiled type information + +#include "stdafx.h" diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/stdafx.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/stdafx.h new file mode 100644 index 0000000..0f5e256 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_core/stdafx.h @@ -0,0 +1,72 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file Stdafx.h + * \brief Include for precompiled header. + * \author Gabriel Peyré + * \date 10-26-2002 + */ +/*------------------------------------------------------------------------------*/ +#ifndef _GW_CORE_STDAFX_H_ +#define _GW_CORE_STDAFX_H_ + +#pragma once + +/* 'identifier' : identifier was truncated to 'number' characters in the debug information */ +#pragma warning( disable : 4786 ) + +//------------------------------------------------------------------------- +/** \name C++ STL */ +//------------------------------------------------------------------------- +//@{ +#include +#include +#include +#include +#include +#include +#include +using std::string; +using std::cerr; +using std::cout; +using std::endl; +//@} + +//------------------------------------------------------------------------- +/** \name classical ANSI c libraries */ +//------------------------------------------------------------------------- +//@{ +#include +#include +#include +#include +#include +#include +// #include +#include +//#include +#include +#include +//#include +//#include +//@} +#include "../gw_core/GW_MathsWrapper.h" + + +/*----------------------------------------------------------------------*/ +/* win32 #include */ +/*----------------------------------------------------------------------*/ + +#ifdef WIN32 + /** main win32 header */ +// #include +#endif // _USE_WIN32_ + + +#endif // _GW_CORE_STDAFX_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/all-wcprops b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/all-wcprops new file mode 100644 index 0000000..0fc1e09 --- /dev/null +++ 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a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation.inl.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation.inl.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_ABC.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_ABC.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_ABC.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Cubic.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Cubic.cpp.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Cubic.cpp.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Cubic.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Cubic.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Cubic.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Cubic.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Cubic.inl.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Cubic.inl.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Linear.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Linear.cpp.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Linear.cpp.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Linear.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Linear.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Linear.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Linear.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Linear.inl.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Linear.inl.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Quadratic.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Quadratic.cpp.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Quadratic.cpp.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Quadratic.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Quadratic.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Quadratic.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Quadratic.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Quadratic.inl.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_TriangularInterpolation_Quadratic.inl.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_VoronoiMesh.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_VoronoiMesh.cpp.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_VoronoiMesh.cpp.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_VoronoiMesh.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_VoronoiMesh.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_VoronoiMesh.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_VoronoiMesh.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_VoronoiMesh.inl.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_VoronoiMesh.inl.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_VoronoiVertex.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_VoronoiVertex.cpp.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_VoronoiVertex.cpp.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_VoronoiVertex.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_VoronoiVertex.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_VoronoiVertex.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_VoronoiVertex.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_VoronoiVertex.inl.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/GW_VoronoiVertex.inl.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/gw_geodesic.vcproj.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/gw_geodesic.vcproj.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/gw_geodesic.vcproj.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/stdafx.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/stdafx.cpp.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/stdafx.cpp.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/stdafx.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/stdafx.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/prop-base/stdafx.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicFace.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicFace.cpp.svn-base new file mode 100644 index 0000000..599752d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicFace.cpp.svn-base @@ -0,0 +1,119 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicFace.cpp + * \brief Definition of class \c GW_GeodesicFace + * \author Gabriel Peyré + * \date 4-12-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_GeodesicFace.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_GeodesicFace.h" + +#ifndef GW_USE_INLINE + #include "GW_GeodesicFace.inl" +#endif + +using namespace GW; + +GW_TriangularInterpolation_ABC::T_TriangulationInterpolationType GW_GeodesicFace::TriangulationInterpolationType_ = GW_TriangularInterpolation_ABC::kQuadraticTriangulationInterpolation; + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicFace constructor +/** + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_GeodesicFace::GW_GeodesicFace() +: GW_Face(), + pTriangularInterpolation_ ( NULL ) +{ + /* nothing */ +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicFace destructor +/** + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_GeodesicFace::~GW_GeodesicFace() +{ + GW_DELETE( pTriangularInterpolation_ ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicFace::SetUpTriangularInterpolation +/** + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Create a triangular interpolation if necessary, and initialize + * it. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicFace::SetUpTriangularInterpolation() +{ + if( pTriangularInterpolation_==NULL || pTriangularInterpolation_->GetType()!=TriangulationInterpolationType_ ) + { + GW_DELETE( pTriangularInterpolation_ ); + switch(TriangulationInterpolationType_) + { + case GW_TriangularInterpolation_ABC::kLinearTriangulationInterpolation: + pTriangularInterpolation_ = new GW_TriangularInterpolation_Linear; + break; + case GW_TriangularInterpolation_ABC::kQuadraticTriangulationInterpolation: + pTriangularInterpolation_ = new GW_TriangularInterpolation_Quadratic; + break; + case GW_TriangularInterpolation_ABC::kCubicTriangulationInterpolation: + GW_ASSERT( GW_False ); + break; + default: + GW_ASSERT( GW_False ); + pTriangularInterpolation_ = new GW_TriangularInterpolation_Quadratic; + } + } + pTriangularInterpolation_->SetUpTriangularInterpolation( *this ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicFace::ComputeGradient +/** +* \param v0 [GW_GeodesicVertex&] 1st vertex of local frame. +* \param v1 [GW_GeodesicVertex&] 2nd vertex. +* \param v2 [GW_GeodesicVertex&] 3rd vertex. +* \param x [GW_Float] x local coord. +* \param y [GW_Float] y local coord. +* \param dx [GW_Float&] x coord of the gradient in local coord. +* \param dy [GW_Float&] y coord of the gradient in local coord. +* \author Gabriel Peyré +* \date 5-2-2003 +* +* Compute the gradient at given point in local frame. +*/ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicFace::ComputeGradient( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, GW_Float x, GW_Float y, GW_Float& dx, GW_Float& dy ) +{ + GW_ASSERT( pTriangularInterpolation_!=NULL ); + pTriangularInterpolation_->ComputeGradient( v0, v1, v2, x, y, dx, dy ); +} + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicFace.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicFace.h.svn-base new file mode 100644 index 0000000..588c1a6 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicFace.h.svn-base @@ -0,0 +1,73 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicFace.h + * \brief Definition of class \c GW_GeodesicFace + * \author Gabriel Peyré + * \date 4-12-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_GEODESICFACE_H_ +#define _GW_GEODESICFACE_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Face.h" +#include "GW_TriangularInterpolation_Quadratic.h" +#include "GW_TriangularInterpolation_Linear.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_GeodesicFace + * \brief A face to make geodesic computations. + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Should contains geodesic vertex. + */ +/*------------------------------------------------------------------------------*/ + +class GW_GeodesicFace: public GW_Face +{ + +public: + + GW_GeodesicFace(); + virtual ~GW_GeodesicFace(); + + void SetUpTriangularInterpolation(); + void ComputeGradient( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Float x, GW_Float y, GW_Float& dx, GW_Float& dy ); + + static void SetTriangularInterpolationType( GW_TriangularInterpolation_ABC::T_TriangulationInterpolationType TriangulationInterpolationType ); + static GW_TriangularInterpolation_ABC::T_TriangulationInterpolationType GetTriangularInterpolationType(); + + GW_TriangularInterpolation_ABC* GetTriangularInterpolation(); + void SetTriangularInterpolation(GW_TriangularInterpolation_ABC& TriangularInterpolation); + +private: + + /** the interpolation type we should use */ + static GW_TriangularInterpolation_ABC::T_TriangulationInterpolationType TriangulationInterpolationType_; + /** the data for interpolation */ + GW_TriangularInterpolation_ABC* pTriangularInterpolation_; + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_GeodesicFace.inl" +#endif + + +#endif // _GW_GEODESICFACE_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicFace.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicFace.inl.svn-base new file mode 100644 index 0000000..79fecbb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicFace.inl.svn-base @@ -0,0 +1,89 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicFace.inl + * \brief Inlined methods for \c GW_GeodesicFace + * \author Gabriel Peyré + * \date 4-12-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_GeodesicFace.h" + +namespace GW { + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicFace::SetTriangularInterpolationType +/** + * \param TriangulationInterpolationType [GW_TriangularInterpolation_ABC::T_TriangulationInterpolationType] The type + * \author Gabriel Peyré + * \date 5-5-2003 + * + * Set the way interpolation is performed on triangles. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicFace::SetTriangularInterpolationType( GW_TriangularInterpolation_ABC::T_TriangulationInterpolationType TriangulationInterpolationType ) +{ + TriangulationInterpolationType_ = TriangulationInterpolationType; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicFace::GetTriangularInterpolationType +/** + * \return [GW_TriangularInterpolation_ABC::T_TriangulationInterpolationType] The mode. + * \author Gabriel Peyré + * \date 5-5-2003 + * + * Return the mode of interpolation. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_TriangularInterpolation_ABC::T_TriangulationInterpolationType GW_GeodesicFace::GetTriangularInterpolationType() +{ + return TriangulationInterpolationType_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicFace::GetTriangularInterpolation +/** + * \return [GW_TriangularInterpolation_ABC*] The interpolator. + * \author Gabriel Peyré + * \date 5-6-2003 + * + * Get the interpolator used. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_TriangularInterpolation_ABC* GW_GeodesicFace::GetTriangularInterpolation() +{ + return pTriangularInterpolation_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicFace::GetTriangularInterpolation +/** + * \param pTriangularInterpolation [GW_TriangularInterpolation_ABC*] The interpolator. + * \author Gabriel Peyré + * \date 5-6-2003 + * + * Set the interpolator used. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicFace::SetTriangularInterpolation(GW_TriangularInterpolation_ABC& TriangularInterpolation) +{ + GW_DELETE( pTriangularInterpolation_ ); + pTriangularInterpolation_ = &TriangularInterpolation; +} + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicMesh.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicMesh.cpp.svn-base new file mode 100644 index 0000000..8fd03a8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicMesh.cpp.svn-base @@ -0,0 +1,181 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicMesh.cpp + * \brief Definition of class \c GW_GeodesicMesh + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_GeodesicMesh.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_GeodesicMesh.h" + +#ifndef GW_USE_INLINE + #include "GW_GeodesicMesh.inl" +#endif + +using namespace GW; + +GW_Bool GW_GeodesicMesh::bUseUnfolding_ = GW_True; + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::ResetGeodesicMesh +/** + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Reset the flags of all vertex for a new fast marching + * computation. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicMesh::ResetGeodesicMesh() +{ + for( IT_VertexVector it=VertexVector_.begin(); it!=VertexVector_.end(); ++it ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) *it; + pVert->ResetGeodesicVertex(); + } + ActiveVertex_.clear(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::ResetParametrizationData +/** + * \author Gabriel Peyré + * \date 4-27-2003 + * + * Reset only the parametrization data of each vertex. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicMesh::ResetParametrizationData() +{ + for( IT_VertexVector it=VertexVector_.begin(); it!=VertexVector_.end(); ++it ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) *it; + pVert->ResetParametrizationData(); + } +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::PerformFastMarching +/** + * \param StartVertex [GW_GeodesicVertex&] The starting point. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Compute geodesic distance from a vertex to other one. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicMesh::PerformFastMarching( GW_GeodesicVertex* pStartVertex ) +{ + + this->SetUpFastMarching( pStartVertex ); + + // first time : set up the heap + std::make_heap( ActiveVertex_.begin(), ActiveVertex_.end(), GW_GeodesicVertex::CompareVertex ); + /* main loop */ + while( !this->PerformFastMarchingOneStep() ) + { } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::SetUpFastMarching +/** + * \param pStartVertex=NULL [GW_GeodesicVertex*] A start vertex to add. + * \author Gabriel Peyré + * \date 4-13-2003 + * + * Just initialize the fast marching process. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicMesh::SetUpFastMarching( GW_GeodesicVertex* pStartVertex ) +{ + GW_ASSERT( WeightCallback_!=NULL ); + + if( pStartVertex!=NULL ) + this->AddStartVertex( *pStartVertex ); + + std::make_heap( ActiveVertex_.begin(), ActiveVertex_.end(), GW_GeodesicVertex::CompareVertex ); + + bIsMarchingBegin_ = GW_True; + bIsMarchingEnd_ = GW_False; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::PerformFastMarchingFlush +/** + * \author Gabriel Peyré + * \date 4-13-2003 + * + * Continue the algorithm until it termins. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicMesh::PerformFastMarchingFlush() +{ + if( !bIsMarchingBegin_ ) + this->SetUpFastMarching(); + + /* main loop */ + while( !this->PerformFastMarchingOneStep() ) + { } +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::IsFastMarchingFinished +/** + * \return [GW_Bool] Response. + * \author Gabriel Peyré + * \date 4-13-2003 + * + * Is the algorhm finished ? + */ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_GeodesicMesh::IsFastMarchingFinished() +{ + return bIsMarchingEnd_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::GetRandomVertex +/** +* \return [GW_Vertex*] The vertex. NULL if it was impossible. +* \author Gabriel Peyré +* \date 4-14-2003 +* +* Get Return a vertex at random. +*/ +/*------------------------------------------------------------------------------*/ +GW_Vertex* GW_GeodesicMesh::GetRandomVertex(GW_Bool bForceFar) +{ + GW_U32 nNumber = 0; + GW_GeodesicVertex* pStartVertex = NULL; + while( pStartVertex==NULL ) + { + if( nNumber>=this->GetNbrVertex()/10 ) + return NULL; + GW_U32 nNumVert = (GW_U32) floor(GW_RAND*this->GetNbrVertex()); + pStartVertex = (GW_GeodesicVertex*) this->GetVertex( nNumVert ); + if( bForceFar==GW_True && pStartVertex->GetState()!=GW_GeodesicVertex::kFar ) + pStartVertex = NULL; + if( pStartVertex!=NULL && pStartVertex->GetFace()==NULL ) + pStartVertex = NULL; + nNumber++; + } + return pStartVertex; +} + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicMesh.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicMesh.h.svn-base new file mode 100644 index 0000000..8f34099 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicMesh.h.svn-base @@ -0,0 +1,157 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicMesh.h + * \brief Definition of class \c GW_GeodesicMesh + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_GEODESICMESH_H_ +#define _GW_GEODESICMESH_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Mesh.h" +#include "../gw_core/GW_Face.h" +#include "../gw_core/GW_FaceIterator.h" +#include "../gw_core/GW_VertexIterator.h" +#include "GW_GeodesicVertex.h" +#include "GW_GeodesicFace.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_GeodesicMesh + * \brief A mesh designed for computation of geodesic. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Overload class factory method to create \c GW_GeodesicVertex. + */ +/*------------------------------------------------------------------------------*/ + +class GW_GeodesicMesh: public GW_Mesh +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_GeodesicMesh(); + virtual ~GW_GeodesicMesh(); + //@} + + //------------------------------------------------------------------------- + /** \name Class factory methods. */ + //------------------------------------------------------------------------- + //@{ + virtual GW_Vertex& CreateNewVertex(); + virtual GW_Face& CreateNewFace(); + //@} + + //------------------------------------------------------------------------- + /** \name Fast marching computations. */ + //------------------------------------------------------------------------- + //@{ + void ResetGeodesicMesh(); + void ResetParametrizationData(); + void AddStartVertex( GW_GeodesicVertex& StartVert ); + void PerformFastMarching( GW_GeodesicVertex* pStartVertex=NULL ); + void SetUpFastMarching( GW_GeodesicVertex* pStartVertex=NULL ); + GW_Bool PerformFastMarchingOneStep(); + void PerformFastMarchingFlush(); + GW_Bool IsFastMarchingFinished(); + //@} + + void SetUseUnfolding( GW_Bool bUseUnfolding ); + GW_Bool GetUseUnfolding( ); + + //------------------------------------------------------------------------- + /** \name Callback management. */ + //------------------------------------------------------------------------- + //@{ + typedef GW_Float (*T_WeightCallbackFunction)( GW_GeodesicVertex& Vert ); + void RegisterWeightCallbackFunction( T_WeightCallbackFunction pFunc ); + typedef GW_Bool (*T_FastMarchingCallbackFunction)( GW_GeodesicVertex& Vert ); + void RegisterForceStopCallbackFunction( T_FastMarchingCallbackFunction pFunc ); + typedef void (*T_NewDeadVertexCallbackFunction)( GW_GeodesicVertex& Vert ); + void RegisterNewDeadVertexCallbackFunction( T_NewDeadVertexCallbackFunction pFunc ); + typedef GW_Bool (*T_VertexInsersionCallbackFunction)( GW_GeodesicVertex& Vert, GW_Float rNewDist ); + void RegisterVertexInsersionCallbackFunction( T_VertexInsersionCallbackFunction pFunc ); + typedef GW_Float (*T_HeuristicToGoalCallbackFunction)( GW_GeodesicVertex& Vert ); + void RegisterHeuristicToGoalCallbackFunction( T_HeuristicToGoalCallbackFunction pFunc ); + //@} + + virtual GW_Vertex* GetRandomVertex( GW_Bool bForceFar = GW_True ); + + static GW_Float BasicWeightCallback(GW_GeodesicVertex& Vert); + + +protected: + + /** should be filled with the starting point of the marching before + calling PerformFastMarching */ + T_GeodesicVertexVector ActiveVertex_; + + /** a function that specify the metric on the mesh */ + T_WeightCallbackFunction WeightCallback_; + /** the callback function used to test if we should terminate the fast marching or not */ + T_FastMarchingCallbackFunction ForceStopCallback_; + /** the callback function used to test when a new dead vertex is created */ + T_NewDeadVertexCallbackFunction NewDeadVertexCallback_; + /** a function called to know if we should insert this vertex */ + T_VertexInsersionCallbackFunction VertexInsersionCallback_; + /** a function called to give an heuristic for the remaining distance */ + T_HeuristicToGoalCallbackFunction HeuristicToGoalCallbackFunction_; + + /** just to controle interactive mode */ + GW_Bool bIsMarchingBegin_; + GW_Bool bIsMarchingEnd_; + + +private: + + GW_Float ComputeVertexDistance( GW_GeodesicFace& CurrentFace, GW_GeodesicVertex& CurrentVertex, + GW_GeodesicVertex& Vert1, GW_GeodesicVertex& Vert2, GW_GeodesicVertex& CurrentFront ); + + static GW_GeodesicVertex* UnfoldTriangle( GW_GeodesicFace& CurFace, GW_GeodesicVertex& v, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, GW_Float& dist, GW_Float& dot1, GW_Float& dot2); + + static GW_Float ComputeUpdate_SethianMethod( GW_Float d1, GW_Float d2, GW_Float a, GW_Float b, GW_Float dot, GW_Float F ); + static GW_Float ComputeUpdate_MatrixMethod( GW_Float d1, GW_Float d2, GW_Float a, GW_Float b, GW_Float dot, GW_Float F ); + + /** Do we use unfolding to correct problem with non acute angles ? */ + static GW_Bool bUseUnfolding_; + +}; + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_GeodesicMesh */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_GeodesicMeshVector; +typedef T_GeodesicMeshVector::iterator IT_GeodesicMeshVector; +typedef T_GeodesicMeshVector::reverse_iterator RIT_GeodesicMeshVector; +typedef T_GeodesicMeshVector::const_iterator CIT_GeodesicMeshVector; +typedef T_GeodesicMeshVector::const_reverse_iterator CRIT_GeodesicMeshVector; +//@} + + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_GeodesicMesh.inl" +#endif + + +#endif // _GW_GEODESICMESH_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicMesh.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicMesh.inl.svn-base new file mode 100644 index 0000000..2ef7cdb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicMesh.inl.svn-base @@ -0,0 +1,733 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicMesh.inl + * \brief Inlined methods for \c GW_GeodesicMesh + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_GeodesicMesh.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh constructor +/** + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicMesh::GW_GeodesicMesh() +: GW_Mesh(), + WeightCallback_ ( GW_GeodesicMesh::BasicWeightCallback ), + VertexInsersionCallback_ ( NULL ), + ForceStopCallback_ ( NULL ), + NewDeadVertexCallback_ ( NULL ), + HeuristicToGoalCallbackFunction_ ( NULL ), + bIsMarchingBegin_ ( GW_False ), + bIsMarchingEnd_ ( GW_False ) +{ + /* NOTHING */ +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh destructor +/** + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicMesh::~GW_GeodesicMesh() +{ + /* NOTHING */ +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::CreateNewVertex +/** +* \return [GW_Vertex&] The newly created vertex. +* \author Gabriel Peyré +* \date 4-9-2003 +* +* Allocate memory for a new vertex. You should overload this +* method +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vertex& GW_GeodesicMesh::CreateNewVertex() +{ + return *(new GW_GeodesicVertex); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::CreateNewFace +/** +* \return [GW_Face&] The newly created face. +* \author Gabriel Peyré +* \date 4-9-2003 +* +* Allocate memory for a new face. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Face& GW_GeodesicMesh::CreateNewFace() +{ + return *(new GW_GeodesicFace); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::AddStartVertex +/** + * \param StartVert [GW_GeodesicVertex&] The new starting point. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Add a new vertex as a starting point for the next fire. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicMesh::AddStartVertex( GW_GeodesicVertex& StartVert ) +{ + StartVert.SetFront( &StartVert ); + StartVert.SetDistance(0); + StartVert.SetState( GW_GeodesicVertex::kAlive ); + ActiveVertex_.push_back( &StartVert ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::BasicWeightCallback +/** + * \param Vert [GW_GeodesicVertex&] Current vertex. + * \return [GW_Float] 1 + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Just the constant function = 1. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_GeodesicMesh::BasicWeightCallback(GW_GeodesicVertex& Vert) +{ + return 1; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::RegisterForceStopCallbackFunction +/** + * \param pFunc [T_FastMarchingCallbackFunction] The function. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Set the function used to test if we should end the fast marching or not. + * The function return GW_False if the algorithm should be stopped. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicMesh::RegisterForceStopCallbackFunction( T_FastMarchingCallbackFunction pFunc ) +{ + ForceStopCallback_ = pFunc; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::RegisterWeightCallbackFunction +/** +* \param pFunc [T_WeightCallbackFunction] The function. +* \author Gabriel Peyré +* \date 4-10-2003 +* +* Set the function used to define the metric on the mesh. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicMesh::RegisterWeightCallbackFunction( T_WeightCallbackFunction pFunc ) +{ + GW_ASSERT( pFunc!=NULL ); + WeightCallback_ = pFunc; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::RegisterHeuristicToGoalCallbackFunction +/** + * \param pFunc [T_HeuristicToGoalCallbackFunction] Callback function. + * \author Gabriel Peyré + * \date 3-14-2004 + * + * Turn the propagation into an A* like. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicMesh::RegisterHeuristicToGoalCallbackFunction( T_HeuristicToGoalCallbackFunction pFunc ) +{ + HeuristicToGoalCallbackFunction_ = pFunc; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::PerformFastMarchingOneStep +/** + * \return [GW_Bool] Is the marching process finished ? + * \author Gabriel Peyré + * \date 4-13-2003 + * + * Just one update step of the marching algorithm. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Bool GW_GeodesicMesh::PerformFastMarchingOneStep() +{ + if( ActiveVertex_.empty() ) + return GW_True; + + GW_ASSERT( bIsMarchingBegin_ ); +// std::make_heap( ActiveVertex_.begin(), ActiveVertex_.end(), GW_GeodesicVertex::CompareVertex ); + + GW_GeodesicVertex* pCurVert = ActiveVertex_.front(); + GW_ASSERT( pCurVert!=NULL ); + std::pop_heap( ActiveVertex_.begin(), ActiveVertex_.end(), GW_GeodesicVertex::CompareVertex ); + ActiveVertex_.pop_back(); + pCurVert->SetState( GW_GeodesicVertex::kDead ); + + if( NewDeadVertexCallback_!=NULL ) + NewDeadVertexCallback_( *pCurVert ); + +#if 0 // just for debug + for( IT_GeodesicVertexVector it = ActiveVertex_.begin(); it!=ActiveVertex_.end(); ++it ) + GW_ASSERT( pCurVert->GetDistance()<=(*it)->GetDistance() ); +#endif + + for( GW_VertexIterator VertIt = pCurVert->BeginVertexIterator(); VertIt!=pCurVert->EndVertexIterator(); ++VertIt ) + { + GW_GeodesicVertex* pNewVert = (GW_GeodesicVertex*) *VertIt; + GW_ASSERT( pNewVert!=NULL ); + /* compute it's new value */ + + if( pCurVert->GetIsStoppingVertex() && !pNewVert->GetIsStoppingVertex() && pNewVert->GetState()==GW_GeodesicVertex::kFar ) + { + // this vertex is not allowed to add alive vertex that are not stopping. + } + else + { + /* compute it's new distance using neighborhood information */ + GW_Float rNewDistance = GW_INFINITE; + for( GW_FaceIterator FaceIt=pNewVert->BeginFaceIterator(); FaceIt!=pNewVert->EndFaceIterator(); ++FaceIt ) + { + GW_GeodesicFace* pFace = (GW_GeodesicFace*) *FaceIt; + GW_ASSERT( pFace!=NULL ); + GW_GeodesicVertex* pVert1 = (GW_GeodesicVertex*) pFace->GetNextVertex( *pNewVert ); + GW_ASSERT( pVert1!=NULL ); + GW_GeodesicVertex* pVert2 = (GW_GeodesicVertex*) pFace->GetNextVertex( *pVert1 ); + GW_ASSERT( pVert2!=NULL ); + + if( pVert1->GetDistance()> pVert2->GetDistance() ) + { + GW_GeodesicVertex* pTempVert = pVert1; + pVert1 = pVert2; + pVert2 = pTempVert; + } + rNewDistance = GW_MIN( rNewDistance, this->ComputeVertexDistance( *pFace, *pNewVert, *pVert1, *pVert2, *pCurVert->GetFront() ) ); + } + switch( pNewVert->GetState() ) { + case GW_GeodesicVertex::kFar: + /* ask to the callback if we should update this vertex and add it to the path */ + if( VertexInsersionCallback_==NULL || + VertexInsersionCallback_( *pNewVert,rNewDistance ) ) + { + pNewVert->SetDistance( rNewDistance ); + /* add the vertex to the heap */ + ActiveVertex_.push_back( pNewVert ); + std::push_heap( ActiveVertex_.begin(), ActiveVertex_.end(), GW_GeodesicVertex::CompareVertex ); + /* this one can be added to the heap */ + pNewVert->SetState( GW_GeodesicVertex::kAlive ); + pNewVert->SetFront( pCurVert->GetFront() ); + } + break; + case GW_GeodesicVertex::kAlive: + /* just update it's value */ + if( rNewDistance<=pNewVert->GetDistance() ) + { + /* possible overlap with old value */ + if( pCurVert->GetFront()!=pNewVert->GetFront() ) + pNewVert->GetFrontOverlapInfo().RecordOverlap( *pNewVert->GetFront(), pNewVert->GetDistance() ); + pNewVert->SetDistance( rNewDistance ); + pNewVert->SetFront( pCurVert->GetFront() ); + // hum, check if we can correct this (avoid recomputing the whole heap). + std::make_heap( ActiveVertex_.begin(), ActiveVertex_.end(), GW_GeodesicVertex::CompareVertex ); + } + else + { + /* possible overlap with new value */ + if( pCurVert->GetFront()!=pNewVert->GetFront() ) + pNewVert->GetFrontOverlapInfo().RecordOverlap( *pCurVert->GetFront(), rNewDistance ); + } + break; + case GW_GeodesicVertex::kDead: + /* inform the user if there is an overlap */ + if( pCurVert->GetFront()!=pNewVert->GetFront() ) + pNewVert->GetFrontOverlapInfo().RecordOverlap( *pCurVert->GetFront(), rNewDistance ); + break; + default: + GW_ASSERT( GW_False ); + } + } + } + + /* have we finished ? */ + bIsMarchingEnd_ = ActiveVertex_.empty(); + /* the user can force ending of the algorithm */ + if( ForceStopCallback_!=NULL && bIsMarchingEnd_==GW_False ) + bIsMarchingEnd_ = ForceStopCallback_(*pCurVert); + + return bIsMarchingEnd_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::ComputeVertexDistance +/** +* \param CurrentVertex [GW_GeodesicVertex&] The vertex to update. +* \param Vert1 [GW_GeodesicVertex&] It's 1st neighbor. +* \param Vert2 [GW_GeodesicVertex&] 2nd vertex. +* \return The value of the distance according to this triangle contribution. +* \author Gabriel Peyré +* \date 4-12-2003 +* +* Compute the update of a vertex from inside of a triangle. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_GeodesicMesh::ComputeVertexDistance( GW_GeodesicFace& CurrentFace, GW_GeodesicVertex& CurrentVertex, + GW_GeodesicVertex& Vert1, GW_GeodesicVertex& Vert2, GW_GeodesicVertex& CurrentFront ) +{ + GW_Float F = this->WeightCallback_( CurrentVertex ); + + if( Vert1.GetState()!=GW_GeodesicVertex::kFar || + Vert2.GetState()!=GW_GeodesicVertex::kFar ) + { + GW_Vector3D Edge1 = Vert1.GetPosition() - CurrentVertex.GetPosition(); + GW_Float b = Edge1.Norm(); + Edge1 /= b; + GW_Vector3D Edge2 = Vert2.GetPosition() - CurrentVertex.GetPosition(); + GW_Float a = Edge2.Norm(); + Edge2 /= a; + + GW_Float d1 = Vert1.GetDistance(); + GW_Float d2 = Vert2.GetDistance(); + + /* Set it if you want only to take in acount dead vertex + during the update step. */ + // #define USING_ONLY_DEAD + + +#ifndef USING_ONLY_DEAD + GW_Bool bVert1Usable = Vert1.GetState()!=GW_GeodesicVertex::kFar && Vert1.GetFront()==&CurrentFront; + GW_Bool bVert2Usable = Vert2.GetState()!=GW_GeodesicVertex::kFar && Vert2.GetFront()==&CurrentFront; + if( !bVert1Usable && bVert2Usable ) + { + /* only one point is a contributor */ + return d2 + a * F; + } + if( bVert1Usable && !bVert2Usable ) + { + /* only one point is a contributor */ + return d1 + b * F; + } + if( bVert1Usable && bVert2Usable ) + { +#else + GW_Bool bVert1Usable = Vert1.GetState()==GW_GeodesicVertex::kDead && Vert1.GetFront()==&CurrentFront; + GW_Bool bVert2Usable = Vert2.GetState()==GW_GeodesicVertex::kDead && Vert2.GetFront()==&CurrentFront; + if( !bVert1Usable && bVert2Usable ) + { + /* only one point is a contributor */ + return d2 + a * F; + } + if( bVert1Usable && !bVert2Usable ) + { + /* only one point is a contributor */ + return d1 + b * F; + } + if( bVert1Usable && bVert2Usable ) + { +#endif // USING_ONLY_DEAD + GW_Float dot = Edge1*Edge2; + + /* you can choose wether to use Sethian or my own derivation of the equation. + Basicaly, it gives the same answer up to normalization constants */ + #define USE_SETHIAN + + /* first special case for obtuse angles */ + if( dot<0 && bUseUnfolding_ ) + { + GW_Float c, dot1, dot2; + GW_GeodesicVertex* pVert = GW_GeodesicMesh::UnfoldTriangle( CurrentFace, CurrentVertex, Vert1, Vert2, c, dot1, dot2 ); + if( pVert!=NULL && pVert->GetState()!=GW_GeodesicVertex::kFar ) + { + GW_Float d3 = pVert->GetDistance(); + GW_Float t; // newly computed value + /* use the unfolded value */ +#ifdef USE_SETHIAN + t = GW_GeodesicMesh::ComputeUpdate_SethianMethod( d1, d3, c, b, dot1, F ); + t = GW_MIN( t, GW_GeodesicMesh::ComputeUpdate_SethianMethod( d3, d2, a, c, dot2, F ) ); +#else + t = GW_GeodesicMesh::ComputeUpdate_MatrixMethod( d1, d3, c, b, dot1, F ); + t = GW_MIN( t, GW_GeodesicMesh::ComputeUpdate_MatrixMethod( d3, d2, a, c, dot2, F ) ); +#endif + return t; + } + } + +#ifdef USE_SETHIAN + return GW_GeodesicMesh::ComputeUpdate_SethianMethod( d1, d2, a, b, dot, F ); +#else + return GW_GeodesicMesh::ComputeUpdate_MatrixMethod( d1, d2, a, b, dot, F ); +#endif + + } + } + + return GW_INFINITE; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::ComputeUpdate_SethianMethod +/** + * \param d1 [GW_Float] Distance value at 1st vertex. + * \param d2 [GW_Float] Distance value at 2nd vertex. + * \param a [GW_Float] Length of the 1st edge. + * \param b [GW_Float] Length of the 2nd edge. + * \param dot [GW_Float] Value of the dot product between the 2 edges. + * \return [GW_Float] The update value. + * \author Gabriel Peyré + * \date 5-26-2003 + * + * Compute the update value using Sethian's method. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_GeodesicMesh::ComputeUpdate_SethianMethod( GW_Float d1, GW_Float d2, GW_Float a, GW_Float b, GW_Float dot, GW_Float F ) +{ + GW_Float t = GW_INFINITE; + + GW_Float rCosAngle = dot; + GW_Float rSinAngle = sqrt( 1-dot*dot ); + + /* Sethian method */ + GW_Float u = d2-d1; // T(B)-T(A) +// GW_ASSERT( u>=0 ); + GW_Float f2 = a*a+b*b-2*a*b*rCosAngle; + GW_Float f1 = b*u*(a*rCosAngle-b); + GW_Float f0 = b*b*(u*u-F*F*a*a*rSinAngle*rSinAngle); + + /* discriminant of the quartic equation */ + GW_Float delta = f1*f1 - f0*f2; + + if( delta>=0 ) + { + if( GW_ABS(f2)>GW_EPSILON ) + { + /* there is a solution */ + t = (-f1 - sqrt(delta) )/f2; + /* test if we must must choose the other solution */ + if( t + GW_Float e1 = -( QD[0]*L[0] + QD[1]*L[1] ); // - + GW_Float e0 = QD[0]*D[0] + QD[1]*D[1] - F*F; // - F² + + GW_Float delta = e1*e1 - e0*e2; + + if( delta>=0 ) + { + if( GW_ABS(e2)>GW_EPSILON ) + { + /* there is a solution */ + t = (-e1 - sqrt(delta) )/e2; + /* upwind criterion : Q*(D-t*l)<=0, i.e. QD<=t*QL */ + if( tt*QL[0] || QD[1]>t*QL[1] ) + t = (-e1 + sqrt(delta) )/e2; // criterion not respected: choose bigger root. + } + else + { + if( e1!=0 ) + t = -e0/e1; + else + t = -GW_INFINITE; + } + } + else + t = -GW_INFINITE; + /* choose the update from the 2 vertex only if upwind criterion is met */ + if( t>=GW_MAX(d1,d2) && QD[0]<=t*QL[0] && QD[1]<=t*QL[1] ) + return t; + else + return GW_MIN(b*F+d1,a*F+d2); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::UnfoldTriangle +/** + * \param CurFace [GW_GeodesicFace&] Vertex to update. + * \param vert [GW_GeodesicVertex&] Current face. + * \param vert1 [GW_GeodesicVertex&] 1st neighbor. + * \param vert2 [GW_GeodesicVertex&] 2nd neighbor. + * \return [GW_GeodesicVertex*] The vertex. + * \author Gabriel Peyré + * \date 5-26-2003 + * + * Find a correct vertex to update \c v. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicVertex* GW_GeodesicMesh::UnfoldTriangle( GW_GeodesicFace& CurFace, GW_GeodesicVertex& vert, GW_GeodesicVertex& vert1, GW_GeodesicVertex& vert2, + GW_Float& dist, GW_Float& dot1, GW_Float& dot2 ) +{ + GW_Vector3D& v = vert.GetPosition(); + GW_Vector3D& v1 = vert1.GetPosition(); + GW_Vector3D& v2 = vert2.GetPosition(); + + GW_Vector3D e1 = v1-v; + GW_Float rNorm1 = ~e1; + e1 /= rNorm1; + GW_Vector3D e2 = v2-v; + GW_Float rNorm2 = ~e2; + e2 /= rNorm2; + + GW_Float dot = e1*e2; + GW_ASSERT( dot<0 ); + + /* the equation of the lines defining the unfolding region [e.g. line 1 : {x ; =0} ]*/ + GW_Vector2D eq1 = GW_Vector2D( dot, sqrt(1-dot*dot) ); + GW_Vector2D eq2 = GW_Vector2D(1,0); + + /* position of the 2 points on the unfolding plane */ + GW_Vector2D x1(rNorm1, 0 ); + GW_Vector2D x2 = eq1*rNorm2; + + /* keep track of the starting point */ + GW_Vector2D xstart1 = x1; + GW_Vector2D xstart2 = x2; + + GW_GeodesicVertex* pV1 = &vert1; + GW_GeodesicVertex* pV2 = &vert2; + GW_GeodesicFace* pCurFace = (GW_GeodesicFace*) CurFace.GetFaceNeighbor( vert ); + + + GW_U32 nNum = 0; + while( nNum<50 && pCurFace!=NULL ) + { + GW_GeodesicVertex* pV = (GW_GeodesicVertex*) pCurFace->GetVertex( *pV1, *pV2 ); + GW_ASSERT( pV!=NULL ); + + e1 = pV2->GetPosition() - pV1->GetPosition(); + GW_Float rNorm1 = ~e1; + e1 /= rNorm1; + e2 = pV->GetPosition() - pV1->GetPosition(); + GW_Float rNorm2 = ~e2; + e2 /= rNorm2; + /* compute the position of the new point x on the unfolding plane (via a rotation of -alpha on (x2-x1)/rNorm1 ) + | cos(alpha) sin(alpha)| + x = |-sin(alpha) cos(alpha)| * [x2-x1]*rNorm2/rNorm1 + x1 where cos(alpha)=dot + */ + GW_Vector2D vv = (x2 - x1)*rNorm2/rNorm1; + dot = e1*e2; + GW_Vector2D x = vv.Rotate( -acos(dot) ) + x1; + + + /* compute the intersection points. + We look for x=x1+lambda*(x-x1) or x=x2+lambda*(x-x2) with =0, so */ + GW_Float lambda11 = - (x1*eq1) / ( (x-x1)*eq1 ); // left most + GW_Float lambda12 = - (x1*eq2) / ( (x-x1)*eq2 ); // right most + GW_Float lambda21 = - (x2*eq1) / ( (x-x2)*eq1 ); // left most + GW_Float lambda22 = - (x2*eq2) / ( (x-x2)*eq2 ); // right most + GW_Bool bIntersect11 = (lambda11>=0) && (lambda11<=1); + GW_Bool bIntersect12 = (lambda12>=0) && (lambda12<=1); + GW_Bool bIntersect21 = (lambda21>=0) && (lambda21<=1); + GW_Bool bIntersect22 = (lambda22>=0) && (lambda22<=1); + if( bIntersect11 && bIntersect12 ) + { +// GW_ASSERT( !bIntersect21 && !bIntersect22 ); + /* we should unfold on edge [x x1] */ + pCurFace = (GW_GeodesicFace*) pCurFace->GetFaceNeighbor( *pV2 ); + pV2 = pV; + x2 = x; + } + else if( bIntersect21 && bIntersect22 ) + { +// GW_ASSERT( !bIntersect11 && !bIntersect12 ); + /* we should unfold on edge [x x2] */ + pCurFace = (GW_GeodesicFace*) pCurFace->GetFaceNeighbor( *pV1 ); + pV1 = pV; + x1 = x; + } + else + { + GW_ASSERT( bIntersect11 && !bIntersect12 && + !bIntersect21 && bIntersect22 ); + /* that's it, we have found the point */ + dist = ~x; + dot1 = x*xstart1 / (dist * ~xstart1); + dot2 = x*xstart2 / (dist * ~xstart2); + return pV; + } + nNum++; + } + + return NULL; +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::RegisterVertexInsersionCallbackFunction +/** + * \param pFunc [T_VertexInsersionCallbackFunction] New function. + * \author Gabriel Peyré + * \date 5-13-2003 + * + * Set the function we use when trying to insert a new vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicMesh::RegisterVertexInsersionCallbackFunction( T_VertexInsersionCallbackFunction pFunc ) +{ + VertexInsersionCallback_ = pFunc; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::RegisterNewDeadVertexCallbackFunction +/** +* \param pFunc [T_NewDeadVertexCallbackFunction] New function. +* \author Gabriel Peyré +* \date 5-13-2003 +* +* Set the function we use when a new dead vertex is set. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicMesh::RegisterNewDeadVertexCallbackFunction( T_NewDeadVertexCallbackFunction pFunc ) +{ + NewDeadVertexCallback_ = pFunc; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::SetUseUnfolding +/** + * \param bUseUnfolding [GW_Bool] Use it or not ? + * \author Gabriel Peyré + * \date 5-26-2003 + * + * Set wether to use or not the special handling of obtuse angles + * via unfolding. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicMesh::SetUseUnfolding( GW_Bool bUseUnfolding ) +{ + bUseUnfolding_ = bUseUnfolding; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::GetUseUnfolding +/** + * \return [GW_Bool] Answer. + * \author Gabriel Peyré + * \date 5-27-2003 + * + * Does the fast marching computations use unfolding of the obtuse angles ? + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Bool GW_GeodesicMesh::GetUseUnfolding() +{ + return bUseUnfolding_; +} + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicPath.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicPath.cpp.svn-base new file mode 100644 index 0000000..96a002a --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicPath.cpp.svn-base @@ -0,0 +1,378 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicPath.cpp + * \brief Definition of class \c GW_GeodesicPath + * \author Gabriel Peyré + * \date 4-10-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_GeodesicPath.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_GeodesicPath.h" + +#ifndef GW_USE_INLINE + #include "GW_GeodesicPath.inl" +#endif + +using namespace GW; + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPath::AddVertexToPath +/** + * \param Vert [GW_GeodesicVertex&] The vertex. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Helper method : add a vertex to path and compute next face. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicPath::AddVertexToPath( GW_GeodesicVertex& Vert ) +{ + pPrevFace_ = pCurFace_; + GW_Float rBestDistance = GW_INFINITE; + pCurFace_ = NULL; + GW_GeodesicVertex* pSelectedVert = NULL; + for( GW_VertexIterator it = Vert.BeginVertexIterator(); it!=Vert.EndVertexIterator(); ++it ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) *it; + if( pVert->GetDistance()GetDistance(); + pSelectedVert = pVert; + GW_GeodesicVertex* pVert1 = (GW_GeodesicVertex*) it.GetLeftVertex(); + GW_GeodesicVertex* pVert2 = (GW_GeodesicVertex*) it.GetRightVertex(); + if( pVert1!=NULL && pVert2!=NULL ) + { + if( pVert1->GetDistance()GetDistance() ) + pCurFace_ = (GW_GeodesicFace*) it.GetLeftFace(); + else + pCurFace_ = (GW_GeodesicFace*) it.GetRightFace(); + } + else if( pVert1!=NULL ) + { + pCurFace_ = (GW_GeodesicFace*) it.GetLeftFace(); + } + else + { + GW_ASSERT( pVert2!=NULL ); + pCurFace_ = (GW_GeodesicFace*) it.GetRightFace(); + } + } + } + GW_ASSERT( pCurFace_!=NULL ); + GW_ASSERT( pSelectedVert!=NULL ); + + GW_GeodesicPoint* pPoint = new GW_GeodesicPoint; + Path_.push_back( pPoint ); + pPoint->SetVertex1( Vert ); + pPoint->SetVertex2( *pSelectedVert ); + pPoint->SetCoord(1); + pPoint->SetCurFace( *pCurFace_ ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPath::InitPath +/** + * \param StartVert [GW_GeodesicVertex&] Starting point of the path. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Compute the first face to begin the search. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicPath::InitPath( GW_GeodesicVertex& StartVert ) +{ + this->ResetPath(); + this->AddVertexToPath( StartVert ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPath::AddNewPoint +/** + * \return [GW_I32] >0 if the path is ended. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Compute a new point and add it to the path. + */ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_GeodesicPath::AddNewPoint() +{ +// rStepSize_ = 1000; + GW_ASSERT( pCurFace_!=NULL ); + GW_ASSERT( !Path_.empty() ); + GW_GeodesicPoint* pPoint = Path_.back(); + GW_ASSERT( pPoint!=NULL ); + GW_GeodesicVertex* pVert1 = pPoint->GetVertex1(); + GW_ASSERT( pVert1!=NULL ); + GW_GeodesicVertex* pVert2 = pPoint->GetVertex2(); + GW_ASSERT( pVert2!=NULL ); + GW_GeodesicVertex* pVert3 = (GW_GeodesicVertex*) pCurFace_->GetVertex( *pVert1, *pVert2 ); + GW_ASSERT( pVert3!=NULL ); + + /* compute coords of the last point */ + T_SubPointVector& SubPointVector = pPoint->GetSubPointVector(); + GW_Float x,y,z; // barycentric coords of the point + /* the sub-points should be empty */ + GW_ASSERT( SubPointVector.empty() ); + /* we begin on an edge */ + x = pPoint->GetCoord(); + y = 1-x; + z = 0; + + GW_Float l1 = ~( pVert1->GetPosition() - pVert3->GetPosition() ); + GW_Float l2 = ~( pVert2->GetPosition() - pVert3->GetPosition() ); + + pCurFace_->SetUpTriangularInterpolation(); + + GW_U32 nNum = 0; + while( nNum<1000 ) // never stop, this is just to avoid infinite loop + { + nNum++; + GW_Float dx, dy; + + pCurFace_->ComputeGradient( *pVert1, *pVert2, *pVert3, x, y, dx, dy ); + + GW_Float l, a; + /* Try each kind of possible crossing. + The barycentric coords of the point is (x-l*dx/l1,y-l*dy/l2,z+l*(dx/l1+dy/l2)) */ + if( GW_ABS(dx)>GW_EPSILON ) + { + l = l1*x/dx; // position along the line + a = y-l*dy/l2; // coordonate with respect to v2 + if( l>0 && l<=rStepSize_ && 0<=a && a<=1 ) + { + /* the crossing occurs on [v2,v3] */ + GW_GeodesicPoint* pNewPoint = new GW_GeodesicPoint; + Path_.push_back( pNewPoint ); + pNewPoint->SetVertex1( *pVert2 ); + pNewPoint->SetVertex2( *pVert3 ); + pNewPoint->SetCoord( a ); + pPrevFace_ = pCurFace_; + if( pCurFace_->GetFaceNeighbor( *pVert2, *pVert3 )==NULL ) + { + pNewPoint->SetCurFace( *pCurFace_ ); + /* check if we are *really* on a boundarie of the mesh */ + GW_ASSERT( pCurFace_->GetEdgeNumber( *pVert2, *pVert3 )>=0 ); + /* we should stay on the same face */ + return 0; + } + pCurFace_ = (GW_GeodesicFace*) pCurFace_->GetFaceNeighbor( *pVert2, *pVert3 ); + GW_ASSERT( pCurFace_!=NULL ); + pNewPoint->SetCurFace( *pCurFace_ ); + /* test for ending */ + if( a<0.01 && pVert2->GetDistance()0.99 && pVert3->GetDistance()GW_EPSILON!=0 ) + { + l = l2*y/dy; // position along the line + a = x-l*dx/l1; // coordonate with respect to v1 + if( l>0 && l<=rStepSize_ && 0<=a && a<=1 ) + { + /* the crossing occurs on [v1,v3] */ + GW_GeodesicPoint* pNewPoint = new GW_GeodesicPoint; + Path_.push_back( pNewPoint ); + pNewPoint->SetVertex1( *pVert1 ); + pNewPoint->SetVertex2( *pVert3 ); + pNewPoint->SetCoord( a ); + pPrevFace_ = pCurFace_; + if( pCurFace_->GetFaceNeighbor( *pVert1, *pVert3 )==NULL ) + { + pNewPoint->SetCurFace( *pCurFace_ ); + /* check if we are *really* on a boundarie of the mesh */ + GW_ASSERT( pCurFace_->GetEdgeNumber( *pVert1, *pVert3 )>=0 ); + /* we should stay on the same face, the fact that pPrevFace_==pCurFace_ + will force to go on an edge */ + return 0; + } + pCurFace_ = (GW_GeodesicFace*) pCurFace_->GetFaceNeighbor( *pVert1, *pVert3 ); + GW_ASSERT( pCurFace_!=NULL ); + pNewPoint->SetCurFace( *pCurFace_ ); + /* test for ending */ + if( a<0.01 && pVert1->GetDistance()0.99 && pVert3->GetDistance()GW_EPSILON ) + { + l = -z/(dx/l1+dy/l2); // position along the line + a = x-l*dx/l1; // coordonate with respect to v1 + if( l>0 && l<=rStepSize_ && 0<=a && a<=1 ) + { + /* the crossing occurs on [v1,v2] */ + GW_GeodesicPoint* pNewPoint = new GW_GeodesicPoint; + Path_.push_back( pNewPoint ); + pNewPoint->SetVertex1( *pVert1 ); + pNewPoint->SetVertex2( *pVert2 ); + pNewPoint->SetCoord( a ); + pPrevFace_ = pCurFace_; + if( pCurFace_->GetFaceNeighbor( *pVert1, *pVert2 )==NULL ) + { + pNewPoint->SetCurFace( *pCurFace_ ); + /* check if we are *really* on a boundarie of the mesh */ + GW_ASSERT( pCurFace_->GetEdgeNumber( *pVert1, *pVert2 )>=0 ); + /* we should stay on the same face */ + return 0; + } + pCurFace_ = (GW_GeodesicFace*) pCurFace_->GetFaceNeighbor( *pVert1, *pVert2 ); + GW_ASSERT( pCurFace_!=NULL ); + pNewPoint->SetCurFace( *pCurFace_ ); + /* test for ending */ + if( a<0.01 && pVert1->GetDistance()0.99 && pVert2->GetDistance()GetDistance()GetDistance() ) + pSelectedVert = pVert2; + if( pVert3->GetDistance()GetDistance() ) + pSelectedVert = pVert3; + // just a check + this->AddVertexToPath( *pSelectedVert ); + GW_ASSERT( pCurFace_!=NULL ); + if( pSelectedVert->GetDistance()GetCoord()>1-GW_EPSILON ) + { + /* hum, problem, we are in a local minimum */ + return -1; + } + return 0; + } + + /* no intersection: we can advance */ + GW_Float xprev = x, yprev = y; + x = x - rStepSize_*dx/l1; + y = y - rStepSize_*dy/l2; + + if( x<0 || x>1 || y<0 || y>1 ) + { + GW_ASSERT( z==0 ); + + GW_GeodesicFace* pNextFace = (GW_GeodesicFace*) pCurFace_->GetFaceNeighbor( *pVert3 ); + + if( pNextFace==pPrevFace_ || pCurFace_->GetFaceNeighbor( *pVert3 )==NULL ) + { + /* special case : we must follow the edge. */ + GW_GeodesicVertex* pSelectedVert = pVert1; + if( pVert2->GetDistance()GetDistance() ) + pSelectedVert = pVert2; + if( pVert3->GetDistance()GetDistance() ) + pSelectedVert = pVert3; + // just a check + this->AddVertexToPath( *pSelectedVert ); + GW_ASSERT( pCurFace_!=NULL ); + if( pSelectedVert->GetDistance()GetCoord()>1-GW_EPSILON ) + { + /* hum, problem, we are in a local minimum */ + return -1; + } + // if( pSelectedVert==pVert3 ) + // GW_ASSERT( x==0 || y==0 ); + } + else + { + /* we should go on another face */ + pPrevFace_ = pCurFace_; + pCurFace_ = (GW_GeodesicFace*) pCurFace_->GetFaceNeighbor( *pVert3 ); + GW_ASSERT( pCurFace_!=NULL ); + GW_GeodesicPoint* pNewPoint = new GW_GeodesicPoint; + Path_.push_back( pNewPoint ); + pNewPoint->SetVertex1( *pVert1 ); + pNewPoint->SetVertex2( *pVert2 ); + pNewPoint->SetCurFace( *pCurFace_ ); + pNewPoint->SetCoord( xprev ); + } + return 0; + } + + SubPointVector.push_back( GW_Vector3D(x,y,1-x-y) ); + } + GW_ASSERT( GW_False ); + GW_GeodesicVertex* pSelectedVert = pVert1; + if( pVert2->GetDistance()GetDistance() ) + pSelectedVert = pVert2; + if( pVert3->GetDistance()GetDistance() ) + pSelectedVert = pVert3; + // just a check + this->AddVertexToPath( *pSelectedVert ); + GW_ASSERT( pCurFace_!=NULL ); + if( pSelectedVert->GetDistance()GetCoord()>1-GW_EPSILON ) + { + /* hum, problem, we are in a local minimum */ + return -1; + } + return 0; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPath::ComputePath +/** + * \param StartVert [GW_GeodesicVertex&] The starting point. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Compute the whole path. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicPath::ComputePath( GW_GeodesicVertex& StartVert, GW_U32 nMaxLength ) +{ + this->InitPath( StartVert ); + GW_U32 nNum = 0; + while( this->AddNewPoint()==0 && nNum T_GeodesicPointList; +typedef T_GeodesicPointList::iterator IT_GeodesicPointList; +typedef T_GeodesicPointList::reverse_iterator RIT_GeodesicPointList; +typedef T_GeodesicPointList::const_iterator CIT_GeodesicPointList; +typedef T_GeodesicPointList::const_reverse_iterator CRIT_GeodesicPointList; +//@} + + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_GeodesicPath + * \brief A geodesic path, composed of point located on edge. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Just a linked list of point. + */ +/*------------------------------------------------------------------------------*/ + +class GW_GeodesicPath +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_GeodesicPath(); + virtual ~GW_GeodesicPath(); + //@} + + T_GeodesicPointList& GetPointList(); + + void InitPath( GW_GeodesicVertex& StartVert ); + GW_I32 AddNewPoint(); + void ComputePath( GW_GeodesicVertex& StartVert, GW_U32 nMaxLength = GW_INFINITE ); + void ResetPath(); + + void SetStepSize( GW_Float rStepSize ); + GW_Float GetStepSize(); + +private: + + void AddVertexToPath( GW_GeodesicVertex& Vert ); + + T_GeodesicPointList Path_; + + GW_GeodesicFace* pCurFace_; + GW_GeodesicFace* pPrevFace_; + + GW_Float rStepSize_; + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_GeodesicPath.inl" +#endif + + +#endif // _GW_GEODESICPATH_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicPath.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicPath.inl.svn-base new file mode 100644 index 0000000..ba3ce47 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicPath.inl.svn-base @@ -0,0 +1,103 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicPath.inl + * \brief Inlined methods for \c GW_GeodesicPath + * \author Gabriel Peyré + * \date 4-10-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_GeodesicPath.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPath constructor +/** + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicPath::GW_GeodesicPath() +: pCurFace_ ( NULL ), + pPrevFace_ ( NULL ), + rStepSize_ ( 0.01f ) +{ + /* NOTHING */ +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPath destructor +/** + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicPath::~GW_GeodesicPath() +{ + this->ResetPath(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPath::GetPointList +/** + * \return [T_GeodesicPointList&] The list. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Get the list of point composing the path. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +T_GeodesicPointList& GW_GeodesicPath::GetPointList() +{ + return Path_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPath::SetStepSize +/** + * \param rStepSize [GW_Float] The new size. + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Set the size of the step. This mesured in barycentric coords. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicPath::SetStepSize( GW_Float rStepSize ) +{ + rStepSize_ = rStepSize; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPath::GetStepSize +/** + * \return [GW_Float] The size. + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Get the current size of the steps. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_GeodesicPath::GetStepSize() +{ + return rStepSize_; +} + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicPoint.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicPoint.cpp.svn-base new file mode 100644 index 0000000..6fdfe4d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicPoint.cpp.svn-base @@ -0,0 +1,59 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicPoint.cpp + * \brief Definition of class \c GW_GeodesicPoint + * \author Gabriel Peyré + * \date 4-10-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_GeodesicPoint.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_GeodesicPoint.h" +#include "GW_GeodesicFace.h" + +#ifndef GW_USE_INLINE + #include "GW_GeodesicPoint.inl" +#endif + +using namespace GW; + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint::SetCurFace +/** +* \param CurFace [GW_GeodesicFace&] The face. +* \author Gabriel Peyré +* \date 5-3-2003 +* +* Set the current face. +*/ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicPoint::SetCurFace( GW_GeodesicFace& CurFace ) +{ + pCurFace_ = &CurFace; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint::GetCurFace +/** +* \return [GW_GeodesicFace*] The face. +* \author Gabriel Peyré +* \date 5-3-2003 +* +* Get the current face. +*/ +/*------------------------------------------------------------------------------*/ +GW_GeodesicFace* GW_GeodesicPoint::GetCurFace() +{ + return pCurFace_; +} + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicPoint.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicPoint.h.svn-base new file mode 100644 index 0000000..1a2b8ea --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicPoint.h.svn-base @@ -0,0 +1,99 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicPoint.h + * \brief Definition of class \c GW_GeodesicPoint + * \author Gabriel Peyré + * \date 4-10-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_GEODESICPOINT_H_ +#define _GW_GEODESICPOINT_H_ + +#include "../gw_core/GW_Config.h" +#include "GW_GeodesicVertex.h" + +namespace GW { + +class GW_GeodesicFace; + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_Vector3D */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_SubPointVector; +typedef T_SubPointVector::iterator IT_SubPointVector; +typedef T_SubPointVector::reverse_iterator RIT_SubPointVector; +typedef T_SubPointVector::const_iterator CIT_SubPointVector; +typedef T_SubPointVector::const_reverse_iterator CRIT_SubPointVector; +//@} + + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_GeodesicPoint + * \brief A point on a geodesic path. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Must lie on a edge. + */ +/*------------------------------------------------------------------------------*/ + +class GW_GeodesicPoint +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_GeodesicPoint(); + virtual ~GW_GeodesicPoint(); + //@} + + void SetVertex1( GW_GeodesicVertex& Vert1 ); + void SetVertex2( GW_GeodesicVertex& Vert2 ); + void SetCoord( GW_Float rCoord ); + GW_GeodesicVertex* GetVertex1(); + GW_GeodesicVertex* GetVertex2(); + GW_Float GetCoord(); + + void SetCurFace( GW_GeodesicFace& Cur ); + GW_GeodesicFace* GetCurFace(); + + T_SubPointVector& GetSubPointVector(); + +private: + + /** starting point of the edge */ + GW_GeodesicVertex* pVert1_; + /** ending point */ + GW_GeodesicVertex* pVert2_; + /** coordinate of point is c*P1+(1-c)*P2 */ + GW_Float rCoord_; + + /** the current face */ + GW_GeodesicFace* pCurFace_; + + T_SubPointVector SubPointVector_; + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_GeodesicPoint.inl" +#endif + + +#endif // _GW_GEODESICPOINT_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicPoint.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicPoint.inl.svn-base new file mode 100644 index 0000000..26d87ab --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicPoint.inl.svn-base @@ -0,0 +1,175 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicPoint.inl + * \brief Inlined methods for \c GW_GeodesicPoint + * \author Gabriel Peyré + * \date 4-10-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_GeodesicPoint.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint constructor +/** + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicPoint::GW_GeodesicPoint() +: rCoord_ ( 0 ), + pVert1_ ( NULL ), + pVert2_ ( NULL ), + pCurFace_ ( NULL ) +{ + /* NOTHING */ +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint destructor +/** + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicPoint::~GW_GeodesicPoint() +{ + GW_SmartCounter::CheckAndDelete( pVert1_ ); + GW_SmartCounter::CheckAndDelete( pVert2_ ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint::SetVertex1 +/** + * \param Vert1 [GW_GeodesicVertex&] The first vertex. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Set the 1st vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicPoint::SetVertex1( GW_GeodesicVertex& Vert1 ) +{ + GW_SmartCounter::CheckAndDelete( pVert1_ ); + pVert1_ = &Vert1; + pVert1_->UseIt(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint::SetVertex2 +/** +* \param Vert1 [GW_GeodesicVertex&] The 2nd vertex. +* \author Gabriel Peyré +* \date 4-10-2003 +* +* Set the 2nd vertex. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicPoint::SetVertex2( GW_GeodesicVertex& Vert2 ) +{ + GW_SmartCounter::CheckAndDelete( pVert2_ ); + pVert2_ = &Vert2; + pVert2_->UseIt(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint::SetCoord +/** + * \param rCoord [GW_Float] The coordinate. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * The the barycentric coordinate of the point. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicPoint::SetCoord( GW_Float rCoord ) +{ + GW_ASSERT( rCoord>=0 ); + GW_ASSERT( rCoord<=1 ); + rCoord_ = rCoord; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint::GetVertex1 +/** + * \return [GW_GeodesicVertex*] The 1st vertex. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Get the 1st vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicVertex* GW_GeodesicPoint::GetVertex1() +{ + return pVert1_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint::GetVertex2 +/** +* \return [GW_GeodesicVertex*] The 2nd vertex. +* \author Gabriel Peyré +* \date 4-10-2003 +* +* Get the 2nd vertex. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicVertex* GW_GeodesicPoint::GetVertex2() +{ + return pVert2_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint::GetCoord +/** + * \return [GW_Float] The coordinate. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Get the barycentric coordinate. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_GeodesicPoint::GetCoord() +{ + return rCoord_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint::GetSubPointVector +/** + * \return [T_SubPointVector&] The vector. + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Get the vector of sub-points + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +T_SubPointVector& GW_GeodesicPoint::GetSubPointVector() +{ + return SubPointVector_; +} + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicVertex.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicVertex.cpp.svn-base new file mode 100644 index 0000000..5258d64 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicVertex.cpp.svn-base @@ -0,0 +1,157 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicVertex.cpp + * \brief Definition of class \c GW_GeodesicVertex + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_GeodesicVertex.cpp (c) Gabriel Peyré 2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_GeodesicVertex.h" +#include "GW_VoronoiVertex.h" + +#ifndef GW_USE_INLINE + #include "GW_GeodesicVertex.inl" +#endif + +using namespace GW; + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::SetStoppingVertex +/** + * \param bIsStoppingVertex [GW_Bool] Yes/No + * \author Gabriel Peyré + * \date 4-26-2003 + * + * Set on/off stopping criterion. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicVertex::SetStoppingVertex( GW_Bool bIsStoppingVertex ) +{ + bIsStoppingVertex_ = bIsStoppingVertex; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::GetIsStoppingVertex +/** + * \return [GW_Bool] Stopping state. + * \author Gabriel Peyré + * \date 4-26-2003 + * + * Get the stopping vertex state. + */ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_GeodesicVertex::GetIsStoppingVertex() +{ + return bIsStoppingVertex_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::AddParameterVertex +/** + * \param VornoiVert [GW_VoronoiVertex&] The corresponding voronoi vertex. + * \param rParam [GW_Float] The parameter. + * \author Gabriel Peyré + * \date 4-26-2003 + * + * Add a parameter value. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicVertex::AddParameterVertex( GW_VoronoiVertex& VornoiVert, GW_Float rParam ) +{ + if( pParameterVert_[0]==NULL ) + { + pParameterVert_[0] = &VornoiVert; + rParameter_[0] = rParam; + } + else if( pParameterVert_[1]==NULL ) + { + pParameterVert_[1] = &VornoiVert; + rParameter_[1] = rParam; + } + else if( pParameterVert_[2]==NULL ) + { + pParameterVert_[2] = &VornoiVert; + rParameter_[2] = rParam; + } + else + { +// GW_ASSERT(GW_False); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::GetParameterVertex +/** + * \param nNum [GW_U32] The number of the parameter. + * \param rParam [GW_Float&] Retrun value : the parameter. + * \return [GW_VoronoiVertex*] The corresponding vertex. + * \author Gabriel Peyré + * \date 4-26-2003 + * + * Return the value of a given parameter. + */ +/*------------------------------------------------------------------------------*/ +GW_VoronoiVertex* GW_GeodesicVertex::GetParameterVertex( GW_U32 nNum, GW_Float& rParam ) +{ + GW_ASSERT( nNum<3 ); + rParam = rParameter_[nNum]; + return pParameterVert_[nNum]; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::SetParameterVertex +/** + * \param nNum [GW_U32] The number of the parameter. + * \param rParam [GW_Float] The value. + * \author Gabriel Peyré + * \date 4-27-2003 + * + * Set the value of a given parameter. You should first add the + * given vertex via \c + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicVertex::SetParameterVertex( GW_U32 nNum, GW_Float rParam ) +{ + GW_ASSERT( nNum<3 ); + GW_ASSERT( pParameterVert_[nNum]!=NULL ); + rParameter_[nNum] = rParam; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::SetParameterVertex +/** + * \param a [GW_Float] 1st param + * \param b [GW_Float] 2nd param + * \param c [GW_Float] 3rd param + * \author Gabriel Peyré + * \date 4-28-2003 + * + * Set the three parameters in one time. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicVertex::SetParameterVertex( GW_Float a, GW_Float b, GW_Float c ) +{ + this->SetParameterVertex( 0, a ); + this->SetParameterVertex( 1, b ); + this->SetParameterVertex( 2, c ); +} + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicVertex.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicVertex.h.svn-base new file mode 100644 index 0000000..e6d16c0 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicVertex.h.svn-base @@ -0,0 +1,216 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicVertex.h + * \brief Definition of class \c GW_GeodesicVertex + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_GEODESICVERTEX_H_ +#define _GW_GEODESICVERTEX_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Vertex.h" + +namespace GW { + +class GW_VoronoiVertex; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_GeodesicVertex + * \brief A vertex that contains information to perform geodesic computations. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Contains computed distance, and current front. + */ +/*------------------------------------------------------------------------------*/ + +class GW_GeodesicVertex: public GW_Vertex +{ + +public: + + enum T_GeodesicVertexState + { + kFar, + kAlive, + kDead + }; + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_GeodesicVertex(); + virtual ~GW_GeodesicVertex(); + //@} + + //------------------------------------------------------------------------- + /** \name Accessors. */ + //------------------------------------------------------------------------- + //@{ + GW_Float GetDistance(); + void SetDistance( GW_Float rDistance ); + void SetState( T_GeodesicVertexState nState ); + T_GeodesicVertexState GetState(); + GW_GeodesicVertex* GetFront(); + void SetFront( GW_GeodesicVertex* pFront ); + //@} + + void ResetGeodesicVertex(); + void ResetParametrizationData(); + + void SetBoundaryReached( GW_Bool bBoundaryReached = GW_True ); + GW_Bool GetBoundaryReached(); + + static GW_Bool CompareVertex(GW_GeodesicVertex* pVert1, GW_GeodesicVertex* pVert2); + + //------------------------------------------------------------------------- + /** \name Parametrization helpers. */ + //------------------------------------------------------------------------- + //@{ + void SetStoppingVertex( GW_Bool bIsStoppingVertex ); + GW_Bool GetIsStoppingVertex(); + void AddParameterVertex( class GW_VoronoiVertex& VornoiVert, GW_Float rParam ); + void SetParameterVertex( GW_U32 nNum, GW_Float rParam ); + void SetParameterVertex( GW_Float a, GW_Float b, GW_Float c ); + GW_VoronoiVertex* GetParameterVertex( GW_U32 nNum, GW_Float& pParam ); + //@} + + static void ComputeFrontIntersection( GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, GW_Vector3D* pInter, GW_Float* pLambda ); + static void ComputeFrontIntersection( GW_GeodesicVertex& v1, GW_Float d1, GW_GeodesicVertex& v2, GW_Float d2, GW_Vector3D* pInter, GW_Float* pLambda ); + + /** overlap management */ + class T_FrontOverlapInfo + { + public: + GW_GeodesicVertex* pFront1_; + GW_Float rDist1_; + GW_GeodesicVertex* pFront2_; + GW_Float rDist2_; + T_FrontOverlapInfo( GW_GeodesicVertex* pFront1 = NULL, GW_Float rDist1 = GW_INFINITE ) + : pFront1_ ( pFront1 ), + pFront2_ ( NULL ), + rDist1_ ( rDist1 ), + rDist2_ ( GW_INFINITE ) + { + /* NOTHING */ + } + T_FrontOverlapInfo& operator= (const T_FrontOverlapInfo& c) + { + pFront1_ = c.pFront1_; + pFront2_ = c.pFront2_; + rDist1_ = c.rDist1_; + rDist2_ = c.rDist2_; + return *this; + } + void RecordOverlap( GW_GeodesicVertex& front, GW_Float dist ) + { + if( pFront1_==NULL ) + { + pFront1_ = &front; + rDist1_ = dist; + } + else if( pFront1_==&front ) + rDist1_ = GW_MIN( dist, rDist1_ ); + else if( pFront2_==&front ) + rDist2_ = GW_MIN( dist, rDist2_ ); + else + { + pFront2_ = &front; + rDist2_ = GW_MIN( dist, rDist2_ ); + } + } + void Reset() + { + pFront1_ = NULL; + pFront2_ = NULL; + rDist1_ = GW_INFINITE; + rDist2_ = GW_INFINITE; + } + }; + T_FrontOverlapInfo& GetFrontOverlapInfo() + { + return FrontOverlapInfo_; + } + +private: + + /** current distance */ + GW_Float rDistance_; + /** state of the vertex : can be far/alive/dead */ + T_GeodesicVertexState nState_; + /** The vertex from which the front this vertex is in started. + Can be \c NULL if this vertex hasn't be reached by a front. */ + GW_GeodesicVertex* pFront_; + + + //------------------------------------------------------------------------- + /** \name specific for parametrization computation. */ + //------------------------------------------------------------------------- + //@{ + GW_Float rParameter_[3]; + GW_VoronoiVertex* pParameterVert_[3]; + GW_Bool bIsStoppingVertex_; + GW_Bool bBoundaryReached_; + //@} + + /** to store overlap information */ + T_FrontOverlapInfo FrontOverlapInfo_; + +}; + + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_GeodesicVertex */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_GeodesicVertexVector; +typedef T_GeodesicVertexVector::iterator IT_GeodesicVertexVector; +typedef T_GeodesicVertexVector::reverse_iterator RIT_GeodesicVertexVector; +typedef T_GeodesicVertexVector::const_iterator CIT_GeodesicVertexVector; +typedef T_GeodesicVertexVector::const_reverse_iterator CRIT_GeodesicVertexVector; +//@} + + +/*------------------------------------------------------------------------------*/ +/** \name a list of GW_GeodesicVertex */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::list T_GeodesicVertexList; +typedef T_GeodesicVertexList::iterator IT_GeodesicVertexList; +typedef T_GeodesicVertexList::reverse_iterator RIT_GeodesicVertexList; +typedef T_GeodesicVertexList::const_iterator CIT_GeodesicVertexList; +typedef T_GeodesicVertexList::const_reverse_iterator CRIT_GeodesicVertexList; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_GeodesicVertex */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_GeodesicVertexMap; +typedef T_GeodesicVertexMap::iterator IT_GeodesicVertexMap; +typedef T_GeodesicVertexMap::reverse_iterator RIT_GeodesicVertexMap; +typedef T_GeodesicVertexMap::const_iterator CIT_GeodesicVertexMap; +typedef T_GeodesicVertexMap::const_reverse_iterator CRIT_GeodesicVertexMap; +//@} + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_GeodesicVertex.inl" +#endif + + +#endif // _GW_GEODESICVERTEX_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicVertex.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicVertex.inl.svn-base new file mode 100644 index 0000000..2a8bfa0 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeodesicVertex.inl.svn-base @@ -0,0 +1,328 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicVertex.inl + * \brief Inlined methods for \c GW_GeodesicVertex + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_GeodesicVertex.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex constructor +/** + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicVertex::GW_GeodesicVertex() +: GW_Vertex (), + rDistance_ ( GW_INFINITE ), + nState_ ( kFar ), + pFront_ ( NULL ), + bIsStoppingVertex_ ( GW_False ), + bBoundaryReached_ ( GW_False ) +{ + pParameterVert_[0] = pParameterVert_[1] = pParameterVert_[2] = NULL; + rParameter_[0] = rParameter_[1] = rParameter_[2] = 0; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex destructor +/** + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicVertex::~GW_GeodesicVertex() +{ + /* NOTHING */ +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::GetDistance +/** + * \return [GW_Float] Current distance. If the vertex is not "Dead", then it is not reliable. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Get the current distance. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_GeodesicVertex::GetDistance() +{ + return rDistance_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::SetDistance +/** + * \param rDistance [GW_Float] Current distance. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Set the current distance. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicVertex::SetDistance( GW_Float rDistance ) +{ + rDistance_ = rDistance; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::SetState +/** + * \param nState [T_GeodesicVertexState] The new state. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Set the state of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicVertex::SetState( T_GeodesicVertexState nState ) +{ + nState_ = nState; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::GetState +/** + * \return [T_GeodesicVertexState] The current state. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Return the current state of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicVertex::T_GeodesicVertexState GW_GeodesicVertex::GetState() +{ + return nState_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::GetFront +/** + * \return [GW_GeodesicVertex*] \c NULL if the vertex hasn't already been reached by a front. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Get the vertex from which the front was started. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicVertex* GW_GeodesicVertex::GetFront() +{ + return pFront_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::SetFront +/** + * \param pFront [GW_GeodesicVertex*] The vertex from which the front started. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Set the front to which this vertex belongs. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicVertex::SetFront( GW_GeodesicVertex* pFront ) +{ + pFront_ = pFront; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::CompareVertex +/** + * \param pVert1 [GW_GeodesicVertex*] 1st vertex. + * \param pVert2 [GW_GeodesicVertex*] 2nd vertex. + * \return [GW_Bool] True if distance of the 1st mesh is < to the one of the 2nd. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Compare the distance of the 2 vertex. Used by the heap sorter. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Bool GW_GeodesicVertex::CompareVertex(GW_GeodesicVertex* pVert1, GW_GeodesicVertex* pVert2) +{ + return pVert1->GetDistance()>pVert2->GetDistance(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::ResetGeodesicVertex +/** + * \author Gabriel Peyré + * \date 4-26-2003 + * + * Reset the datas for geodesic computations. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicVertex::ResetGeodesicVertex() +{ + rDistance_ = GW_INFINITE; + nState_ = kFar; + pFront_ = NULL; + bIsStoppingVertex_ = GW_False; + FrontOverlapInfo_.Reset(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::ResetParametrizationData +/** + * \author Gabriel Peyré + * \date 4-27-2003 + * + * Reset only the data relative to parametrization. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicVertex::ResetParametrizationData() +{ + pParameterVert_[0] = pParameterVert_[1] = pParameterVert_[2] = NULL; + rParameter_[0] = rParameter_[1] = rParameter_[2] = 0; + bBoundaryReached_ = GW_False; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::SetBoundaryReached +/** + * \param bBoundaryReached [GW_Bool] Was it reached ? + * \author Gabriel Peyré + * \date 4-30-2003 + * + * Is the vertex a boundary one reached by a parametrizing front ? + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicVertex::SetBoundaryReached( GW_Bool bBoundaryReached ) +{ + bBoundaryReached_ = bBoundaryReached; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::GetBoundaryReached +/** + * \return [GW_Bool] Answer. + * \author Gabriel Peyré + * \date 4-30-2003 + * + * Reached on a boundary ? + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Bool GW_GeodesicVertex::GetBoundaryReached() +{ + return bBoundaryReached_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::ComputeFrontIntersection +/** + * \param v1 [GW_GeodesicVertex&] 1st vertex. + * \param v2 [GW_GeodesicVertex&] 2nd vertex. + * \param pInter [GW_Vector3D*] Location of intersection. + * \param pLambda [GW_Float*] Location in barycentric coord. + * \author Gabriel Peyré + * \date 5-30-2003 + * + * Compute the location of intersection of two front on a edge. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicVertex::ComputeFrontIntersection( GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Vector3D* pInter, GW_Float* pLambda ) +{ + GW_GeodesicVertex* pFront1 = v1.GetFront(); GW_ASSERT( pFront1!=NULL ); + GW_GeodesicVertex* pFront2 = v2.GetFront(); GW_ASSERT( pFront2!=NULL ); + /* retrieve ovelap info */ + GW_Float d1 = v1.GetDistance(); + T_FrontOverlapInfo& info1 = v1.GetFrontOverlapInfo(); + GW_GeodesicVertex* pF1 = info1.pFront1_; + GW_Float d2_1 = info1.rDist1_; + if( pF1!=pFront2 ) + { + pF1 = info1.pFront2_; + d2_1 = info1.rDist2_; + } + + GW_Float d2 = v2.GetDistance(); + T_FrontOverlapInfo& info2 = v2.GetFrontOverlapInfo(); + GW_GeodesicVertex* pF2 = info2.pFront1_; + GW_Float d1_2 = info2.rDist1_; + if( pF2!=pFront1 ) + { + pF2 = info2.pFront2_; + d1_2 = info2.rDist2_; + } + + /* test if overlap is usable */ + if( pF1==pFront2 && pF2==pFront1 ) + { + /* we search for a position x in [0,1] such that d1+x*(d1_2-d1)=d2_1+x*(d2-d2_1). Then barycentric coord is lambda=x/d */ + GW_Float lambda = 1 - (d2_1-d1)/(d1_2 + d2_1 - d1 - d2); + GW_CLAMP( lambda, 0,1 ); + if( pLambda!=NULL ) + *pLambda = lambda; + if( pInter!=NULL ) + *pInter = v1.GetPosition()*lambda + v2.GetPosition()*(1-lambda); + } + else // use classical extrapolation + { +// cout << "missed" << endl; + GW_GeodesicVertex::ComputeFrontIntersection( v1, d1, v2, d2, pInter, pLambda ); + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::ComputeFrontIntersection +/** +* \param v1 [GW_GeodesicVertex&] 1st vertex. +* \param v2 [GW_GeodesicVertex&] 2nd vertex. +* \param pInter [GW_Vector3D*] Location of intersection. +* \param pLambda [GW_Float*] Location in barycentric coord. +* \author Gabriel Peyré +* \date 5-30-2003 +* +* Compute the location of intersection of two front on a edge. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicVertex::ComputeFrontIntersection( GW_GeodesicVertex& v1, GW_Float d1, GW_GeodesicVertex& v2, GW_Float d2, GW_Vector3D* pInter, GW_Float* pLambda ) +{ + GW_Float d = ~( v1.GetPosition() - v2.GetPosition() ); + /* we search for a position x in [0,d] such that d1+x=d2+d-x. Then barycentric coord is lambda=x/d */ + GW_Float lambda = 1 - 0.5*(d+d2-d1)/d; + GW_CLAMP( lambda, 0,1 ); + if( pLambda!=NULL ) + *pLambda = lambda; + if( pInter!=NULL ) + *pInter = v1.GetPosition()*lambda + v2.GetPosition()*(1-lambda); +} + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeometryAtlas.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeometryAtlas.cpp.svn-base new file mode 100644 index 0000000..26475f0 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeometryAtlas.cpp.svn-base @@ -0,0 +1,273 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeometryAtlas.cpp + * \brief Definition of class \c GW_GeometryAtlas + * \author Gabriel Peyré + * \date 2-4-2004 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_GeometryAtlas.cpp(c) Gabriel Peyré2004"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_GeometryAtlas.h" + +#ifndef GW_USE_INLINE + #include "GW_GeometryAtlas.inl" +#endif + +using namespace GW; + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeometryAtlas constructor +/** + * \author Gabriel Peyré + * \date 2-4-2004 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_GeometryAtlas::GW_GeometryAtlas() +{ + /* NOTHING */ +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeometryAtlas destructor +/** + * \author Gabriel Peyré + * \date 2-4-2004 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_GeometryAtlas::~GW_GeometryAtlas() +{ + for( IT_GeometryCellVector it = CellVector_.begin(); it!=CellVector_.end(); ++it ) + GW_DELETE(*it); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeometryAtlas::InitSampling +/** + * \param CyclicPositionCollection [std::vector] The position of each base point on each polygon. + * \author Gabriel Peyré + * \date 2-4-2004 + * + * Initialize the sampling position of each point. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeometryAtlas::InitSampling( std::vector& CyclicPositionCollection, GW_U32 n ) +{ + /* delete preivous data */ + for( IT_GeometryCellVector it = CellVector_.begin(); it!=CellVector_.end(); ++it ) + GW_DELETE(*it); + CellVector_.clear(); + CellGroupVector_.clear(); + + for( std::vector::iterator it = CyclicPositionCollection.begin(); + it!=CyclicPositionCollection.end(); ++it ) + { + T_TrissectorInfoVector& TrissectorVector = *it; + T_GeometryCellVector CurCellGroup; + + /** create the polygon */ + GW_Vector3D Center(0,0,0); // center is at origin + GW_TrissectorInfo* tr_prev = NULL; + for( IT_TrissectorInfoVector it = TrissectorVector.begin(); it!=TrissectorVector.end(); ++it ) + { + GW_TrissectorInfo* tr = &(*it); + GW_TrissectorInfo* tr_next = NULL; + IT_TrissectorInfoVector it2 = it; it2++; + if( it2!=TrissectorVector.end() ) + tr_next = &(*it2); + else + tr_next = &(TrissectorVector.front()); + if( tr_prev==NULL ) + tr_prev = &(TrissectorVector.back()); + GW_GeometryCell* pNewCell = new GW_GeometryCell; + GW_Vector3D v1 = tr->GetPosition(); + GW_Vector3D v2 = GW_Vector2D( (tr->GetPosition()+tr_next->GetPosition())*0.5 ); + GW_Vector3D v3 = Center; + GW_Vector3D v4 = GW_Vector2D( (tr->GetPosition()+tr_prev->GetPosition())*0.5 ); + pNewCell->InitSampling( v1, v2, v3, v4 , n, n ); + + CellVector_.push_back(pNewCell); // add to global cell list + CurCellGroup.push_back(pNewCell); // add to current group + tr_prev = tr; + } + + + CellGroupVector_.push_back(CurCellGroup); + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeometryAtlas::PositionateVertex +/** + * \param ParamMeshVector [T_MeshVector&] Parameter spaces + * \param RealMeshVector [T_MeshVector&] Real 3D position + * \author Gabriel Peyré + * \date 2-4-2004 + * + * Positionate each point on the grid + */ +/*------------------------------------------------------------------------------*/ +void GW_GeometryAtlas::PositionateVertex( T_MeshVector& ParamMeshVector, T_MeshVector& RealMeshVector ) +{ + GW_ASSERT( ParamMeshVector.size()==RealMeshVector.size() ); + GW_ASSERT( ParamMeshVector.size()==CellGroupVector_.size() ); + + IT_MeshVector it_param = ParamMeshVector.begin(); + IT_MeshVector it_real = RealMeshVector.begin(); + std::vector::iterator it_cellsgroup = CellGroupVector_.begin(); + while( it_param!=ParamMeshVector.end() && it_real!=RealMeshVector.end() && it_cellsgroup!=CellGroupVector_.end()) + { + GW_Mesh* pParamMesh = *it_param; + GW_Mesh* pRealMesh = *it_real; + T_GeometryCellVector& GeometryVector = *it_cellsgroup; + // positionate each square patch + for( IT_GeometryCellVector it_cell=GeometryVector.begin(); it_cell!=GeometryVector.end(); ++it_cell ) + { + GW_GeometryCell* pCell = *it_cell; + pCell->InterpolateAllPositions( *pParamMesh, *pRealMesh ); + } + it_param++; + it_real++; + it_cellsgroup++; + } + +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeometryAtlas::SmoothSampling +/** +* \param CyclicPositionCollection [std::vector] collection of cells. +* \author Gabriel Peyré +* \date 2-4-2004 +* +* Smooth the sampling into a conformal mapping. +*/ +/*------------------------------------------------------------------------------*/ +void GW_GeometryAtlas::SmoothSampling( GW_U32 nNbrIter ) +{ + for( std::vector::iterator it = CellGroupVector_.begin(); it!=CellGroupVector_.end(); ++it ) + { + T_GeometryCellVector& CurCellGroup = *it; + for( GW_U32 i=0; iGetWidth(); + GW_U32 q = cell_cur->GetHeigth(); + + + /* iterate on each point */ + for( GW_U32 i=1; iGetData(i-1,j) * w.GetData(0,1); + ac += cell_cur->GetData(i,j-1) * w.GetData(1,0); + ac += cell_cur->GetData(i-1,j-1) * w.GetData(0,0); + ac += cell_cur->GetData(i,j) * w.GetData(1,1); + + if( iGetData(i+1,j) * w.GetData(1,0); + else + ac = ac + cell_next->GetData(j,cell_next->GetHeigth()-2) * w.GetData(1,0); + + if( jGetData(i,j+1) * w.GetData(1,2); + else + ac = ac + cell_prev->GetData(cell_prev->GetWidth()-2,i) * w.GetData(2,1); + + if( iGetData(i+1,j-1) * w.GetData(2,0); + else + ac = ac + cell_next->GetData(j-1,cell_next->GetHeigth()-2) * w.GetData(2,0); + + if( jGetData(i-1,j+1) * w.GetData(0,2); + else + ac = ac + cell_prev->GetData(cell_prev->GetWidth()-2,i-1) * w.GetData(0,2); + + if( iGetData(i+1,j+1) * w.GetData(2,2); + else + { + if( i==p-1 && jGetData(j+1,cell_next->GetHeigth()-2) * w.GetData(2,2); + else + { + if( iGetData(cell_prev->GetWidth()-2,i+1) * w.GetData(2,2); + else + { + nb = 0; // special case + ac = 0; + for( IT_GeometryCellVector it2 = CurCellGroup.begin(); it2!=CurCellGroup.end(); ++it2 ) + { + GW_GeometryCell* cell = *it2; + ac += cell->GetData(cell->GetWidth()-2,cell->GetHeigth()-2) + + cell->GetData(cell->GetWidth()-1,cell->GetHeigth()-2); + nb += 2; + } + ac /= nb; + } + } + } + + cell_cur->SetData( i,j, ac ); + } + + cell_prev = cell_cur; + } +} + + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeometryAtlas.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeometryAtlas.h.svn-base new file mode 100644 index 0000000..cda9b02 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeometryAtlas.h.svn-base @@ -0,0 +1,77 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeometryAtlas.h + * \brief Definition of class \c GW_GeometryAtlas + * \author Gabriel Peyré + * \date 2-4-2004 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_GEOMETRYATLAS_H_ +#define _GW_GEOMETRYATLAS_H_ + +#include "../gw_core/GW_Config.h" +#include "GW_GeometryCell.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_GeometryAtlas + * \brief A collection of cells. + * \author Gabriel Peyré + * \date 2-4-2004 + * + * A collection of cell with interconnections + */ +/*------------------------------------------------------------------------------*/ + +class GW_GeometryAtlas +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_GeometryAtlas(); + virtual ~GW_GeometryAtlas(); + //@} + + void InitSampling( std::vector& CyclicPositionCollection, GW_U32 n ); + void PositionateVertex( T_MeshVector& ParamMeshVector, T_MeshVector& RealMeshVector ); + + void SmoothSampling( GW_U32 nNbrIter = 20 ); + static void SmoothSampling( T_GeometryCellVector& CurCellGroup ); + + T_GeometryCellVector& GetCellVector() + { return CellVector_; } + std::vector& GetCellGroupVector() + { return CellGroupVector_; } + + +private: + + T_GeometryCellVector CellVector_; + std::vector CellGroupVector_; + + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_GeometryAtlas.inl" +#endif + + +#endif // _GW_GEOMETRYATLAS_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeometryAtlas.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeometryAtlas.inl.svn-base new file mode 100644 index 0000000..8b38a92 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeometryAtlas.inl.svn-base @@ -0,0 +1,25 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeometryAtlas.inl + * \brief Inlined methods for \c GW_GeometryAtlas + * \author Gabriel Peyré + * \date 2-4-2004 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_GeometryAtlas.h" + +namespace GW { + + + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeometryCell.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeometryCell.cpp.svn-base new file mode 100644 index 0000000..02e9e61 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeometryCell.cpp.svn-base @@ -0,0 +1,60 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeometryCell.cpp + * \brief Definition of class \c GW_GeometryCell + * \author Gabriel Peyré + * \date 2-4-2004 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_GeometryCell.cpp(c) Gabriel Peyré2004"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_GeometryCell.h" + +#ifndef GW_USE_INLINE + #include "GW_GeometryCell.inl" +#endif + +using namespace GW; + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeometryCell::InitSampling +/** + * \param v1 [GW_Vector3D&] 1st vert + * \param v2 [GW_Vector3D&] 2nd corner + * \param v3 [GW_Vector3D&] 3rd corner + * \param v4 [GW_Vector3D&] 4th corner. + * \param n [GW_U32] Number of points on width. + * \param n [GW_U32] Number of points on height. + * \author Gabriel Peyré + * \date 2-4-2004 + * + * Initialize the position of each point. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeometryCell::InitSampling( GW_Vector3D& v1, GW_Vector3D& v2, GW_Vector3D& v3, GW_Vector3D& v4, GW_U32 n, GW_U32 p ) +{ + this->Reset(n,p); + for( GW_U32 i=0; iSetData(i,j, pos); + } + } +} + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeometryCell.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeometryCell.h.svn-base new file mode 100644 index 0000000..1c4b0cb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeometryCell.h.svn-base @@ -0,0 +1,158 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeometryCell.h + * \brief Definition of class \c GW_GeometryCell + * \author Gabriel Peyré + * \date 2-4-2004 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_GEOMETRYCELL_H_ +#define _GW_GEOMETRYCELL_H_ + +#include "../gw_core/GW_Config.h" +#include "GW_Parameterization.h" +#include "../gw_maths/GW_Matrix2x2.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_GeometryCell_Template + * \brief In fact this is just a 2D array. + * \author Gabriel Peyré + * \date 2-4-2004 + * + * A 2D array, a patch of a 3D mesh. + */ +/*------------------------------------------------------------------------------*/ +template +class GW_GeometryCell_Template +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_GeometryCell_Template( GW_U32 nWidth = 0, GW_U32 nHeight = 0 ) + : pData_( NULL ) + { + nSize_[0] = nSize_[1] = 0; + if( nWidth>0 ) + this->Reset(nWidth, nHeight); + + } + virtual ~GW_GeometryCell_Template() + { + GW_DELETEARRAY(pData_); + } + //@} + + void Reset( GW_U32 nWidth, GW_U32 nHeight ) + { + GW_DELETEARRAY(pData_); + pData_ = new base_type[nWidth*nHeight]; + nSize_[0] = nWidth; + nSize_[1] = nHeight; + } + + base_type& GetData( GW_U32 i, GW_U32 j ) + { + GW_ASSERT( i +{ +public: + GW_GeometryCell( GW_U32 nWidth = 0, GW_U32 nHeight = 0 ) + : GW_GeometryCell_Template(nWidth,nHeight) + { } + + + void Reset( GW_U32 nWidth, GW_U32 nHeight ) + { + GW_GeometryCell_Template::Reset(nWidth,nHeight); + Normal_.Reset(nWidth,nHeight); + } + + void InitSampling( GW_Vector3D& v1, GW_Vector3D& v2, GW_Vector3D& v3, GW_Vector3D& v4, GW_U32 n, GW_U32 p ); + + static GW_Vector3D GetInterpolatedPosition( GW_Mesh& ParamMesh, GW_Mesh& RealMesh, GW_Vector3D& param_pos, + GW_Face* &seed, GW_Vector3D& Normal ); + void InterpolateAllPositions( GW_Mesh& ParamMesh, GW_Mesh& RealMesh ); + + void SetNormal( GW_U32 i, GW_U32 j, GW_Vector3D& val ) + { + Normal_.SetData(i,j,val); + } + GW_Vector3D& GetNormal(GW_U32 i,GW_U32 j) + { + return Normal_.GetData(i,j); + } + +private: + + GW_GeometryCell_Template Normal_; +}; + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_GeometryCell */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_GeometryCellVector; +typedef T_GeometryCellVector::iterator IT_GeometryCellVector; +typedef T_GeometryCellVector::reverse_iterator RIT_GeometryCellVector; +typedef T_GeometryCellVector::const_iterator CIT_GeometryCellVector; +typedef T_GeometryCellVector::const_reverse_iterator CRIT_GeometryCellVector; +//@} + + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_GeometryCell.inl" +#endif + + +#endif // _GW_GEOMETRYCELL_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeometryCell.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeometryCell.inl.svn-base new file mode 100644 index 0000000..88bd80e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_GeometryCell.inl.svn-base @@ -0,0 +1,169 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeometryCell.inl + * \brief Inlined methods for \c GW_GeometryCell + * \author Gabriel Peyré + * \date 2-4-2004 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_GeometryCell.h" + +namespace GW { + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeometryCell::GetInterpolatedPosition +/** +* \param ParamMesh [GW_Mesh&] Parameter mesh. +* \param RealMesh [GW_Mesh&] Surface. +* \param v [GW_Vector3D&] Parameter position. +* \param seed [GW_Face*] A seed for the search. Will be modified ! +* \return [GW_Vector3D] The position in 3D space. +* \author Gabriel Peyré +* \date 2-4-2004 +* +* Interpolate a position on the surface. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vector3D GW_GeometryCell::GetInterpolatedPosition( GW_Mesh& ParamMesh, GW_Mesh& RealMesh, GW_Vector3D& v, GW_Face* &seed, GW_Vector3D& Normal ) +{ + GW_Vector3D lambda(0,0,1); + +#if 1 + /* here perform an exhaustive search */ + GW_Face* sel_face; + GW_Float min_dist = GW_INFINITE; + GW_Vector3D min_lambda; + for( GW_U32 i=0; iGetVertex(0)->GetPosition(); + GW_Vector3D v2 = seed->GetVertex(1)->GetPosition(); + GW_Vector3D v3 = seed->GetVertex(2)->GetPosition(); + GW_Vector2D a = GW_Vector3D(v1 - v3).ToVector2D(); + GW_Vector2D b = GW_Vector3D(v2 - v3).ToVector2D(); + GW_Vector2D c = GW_Vector3D(v - v3).ToVector2D(); + GW_Matrix2x2 M(a,b); // M map canonical basis of R^3 onto v + M.AutoInvert(); + GW_Vector2D mu = M*c; + lambda[0] = mu[0]; + lambda[1] = mu[1]; + lambda[2] = 1-mu[0]-mu[1]; + GW_Float rDist = 0; + if( lambda[0]<0 ) + rDist -= lambda[0]; + if( lambda[1]<0 ) + rDist -= lambda[1]; + if( lambda[2]<0 ) + rDist -= lambda[2]; + if( rDistGetFace(); + } + while( GW_True ) + { + /* find the barycentric coords according to the cur face */ + GW_Vector3D v1 = seed->GetVertex(0)->GetPosition(); + GW_Vector3D v2 = seed->GetVertex(1)->GetPosition(); + GW_Vector3D v3 = seed->GetVertex(2)->GetPosition(); + GW_Vector2D a = GW_Vector3D(v1 - v3).ToVector2D(); + GW_Vector2D b = GW_Vector3D(v2 - v3).ToVector2D(); + GW_Vector2D c = GW_Vector3D(v - v3).ToVector2D(); + GW_Matrix2x2 M(a,b); // M map canonical basis of R^3 onto v + M.AutoInvert(); + GW_Vector2D mu = M*c; + lambda[0] = mu[0]; + lambda[1] = mu[1]; + lambda[2] = 1-mu[0]-mu[1]; + if( lambda[0]>=0 && lambda[1]>=0 && lambda[2]>=0 ) // that's it, we have found the face + break; + GW_Face* pNextSeed = NULL; + for( GW_U32 i=0; i<3; ++i ) + { + if( lambda[i]<0 ) + pNextSeed = seed->GetFaceNeighbor(i); + } + if( pNextSeed==NULL ) + { + // we are on a boundary + GW_CLAMP_01( lambda[0] ); + GW_CLAMP_01( lambda[1] ); + GW_CLAMP_01( lambda[2] ); + lambda = lambda/(lambda[0]+lambda[1]+lambda[2]); + break; + } + seed = pNextSeed; + }; +#endif + + /* interpolate linearly */ + GW_U32 nID = seed->GetID(); + GW_Face* pRealFace = RealMesh.GetFace(nID); GW_ASSERT( pRealFace ); + GW_Vector3D pos = pRealFace->GetVertex(0)->GetPosition()*lambda[0] + + pRealFace->GetVertex(1)->GetPosition()*lambda[1] + + pRealFace->GetVertex(2)->GetPosition()*lambda[2]; + Normal = pRealFace->GetVertex(0)->GetNormal()*lambda[0] + + pRealFace->GetVertex(1)->GetNormal()*lambda[1] + + pRealFace->GetVertex(2)->GetNormal()*lambda[2]; + Normal.Normalize(); + return pos; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeometryCell::InterpolateAllPositions +/** + * \param ParamMesh [GW_Mesh&] Parameter space. + * \param RealMesh [GW_Mesh&] Real position of 3D meshes. + * \author Gabriel Peyré + * \date 2-4-2004 + * + * Interpolate the position of each point. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeometryCell::InterpolateAllPositions( GW_Mesh& ParamMesh, GW_Mesh& RealMesh ) +{ + GW_Face* seed = NULL; + for( GW_U32 i=0; iGetData(i,j); + GW_Vector3D Normal; + GW_Vector3D pos = GW_GeometryCell::GetInterpolatedPosition( ParamMesh, RealMesh, v, seed, Normal ); + this->SetData(i,j, pos); + this->SetNormal(i,j,Normal); + } +} + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_Parameterization.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_Parameterization.cpp.svn-base new file mode 100644 index 0000000..5610ddb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_Parameterization.cpp.svn-base @@ -0,0 +1,1549 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Parameterization.cpp + * \brief Definition of class \c GW_Parameterization + * \author Gabriel Peyré + * \date 7-1-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_Parameterization.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_Parameterization.h" + +#ifndef GW_USE_INLINE + #include "GW_Parameterization.inl" +#endif + +using namespace GW; + + +GW_GeodesicVertex* GW_Parameterization::pCurVoronoiDiagram_ = NULL; +T_U32Vector GW_Parameterization::FaceVector; +T_U32Map GW_Parameterization::FaceMap; +T_U32Vector GW_Parameterization::VertexVector; +T_U32Map GW_Parameterization::VertexMap; + + +GW_Parameterization::GW_Parameterization() +: nNbrMaxIterLloyd_ ( 20 ), + nNbrMaxIterLloydDescent_ ( 100 ) +{ + +} + +GW_Parameterization::~GW_Parameterization() +{ + +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::PerformFastMarching +/** +* \param VertList [T_GeodesicVertexList&] List of start vertex. +* \author Gabriel Peyré +* \date 4-13-2003 +* +* Just an helper method that launch a fire from each base point. +*/ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::PerformFastMarching( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList ) +{ + /* add the points as starting points */ + Mesh.ResetGeodesicMesh(); + for( IT_GeodesicVertexList it = VertList.begin(); it!=VertList.end(); ++it ) + { + GW_GeodesicVertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + Mesh.AddStartVertex( *pVert ); + } + /* perform a firestart */ + Mesh.PerformFastMarching(); +} + +/** We add a new point only if it belongs to the current Voronoi diagram */ +GW_Bool GW_Parameterization::FastMarchingCallbackFunction_Centering( GW_GeodesicVertex& CurVert, GW_Float rNewDist ) +{ + typedef GW_VoronoiMesh::GW_GeodesicInformationDuplicata T_Duplicata; + GW_ASSERT( pCurVoronoiDiagram_!=NULL ); + T_Duplicata* pDuplicata = (T_Duplicata*) CurVert.GetUserData(); + GW_ASSERT( pDuplicata!=NULL ); + return pDuplicata->pFront_ == pCurVoronoiDiagram_; +} + +GW_GeodesicVertex& GW_Parameterization::PerformCentering( GW_GeodesicVertex& Vert, GW_GeodesicMesh& Mesh ) +{ + GW_OutputComment( "Centering a base vertex." ); + /* try a pseudo gradient descent to seek for the new points */ + T_FloatMap ComputedEnergy; // already computed energy + + GW_GeodesicVertex* pCurVertex = ‖ + GW_Float rCurEnergy = ComputeCenteringEnergy( *pCurVertex, Vert, Mesh ); + ComputedEnergy[pCurVertex->GetID()] = rCurEnergy; + + GW_U32 nNbrIter = 0; + + while( true ) + { + GW_GeodesicVertex* pNextVertex = NULL; + + /* iterate on the 1-ring */ + for( GW_VertexIterator it=pCurVertex->BeginVertexIterator(); it!=pCurVertex->EndVertexIterator(); ++it ) + { + GW_GeodesicVertex* pNeigbhor = (GW_GeodesicVertex*) *it; + GW_Float rNeighborEnergy = 0; + GW_ASSERT( pNeigbhor!=NULL ); + + if( ComputedEnergy.find(pNeigbhor->GetID())==ComputedEnergy.end() ) + { + /* we should compute it's enerdy */ + rNeighborEnergy = ComputeCenteringEnergy( *pNeigbhor, Vert, Mesh ); + ComputedEnergy[pNeigbhor->GetID()] = rNeighborEnergy; + } + else + rNeighborEnergy = ComputedEnergy[ pNeigbhor->GetID() ]; + + if( rNeighborEnergynNbrMaxIterLloydDescent_ ) // to avoid infinite loop. + break; + } + + /* return the new point location */ + return *pCurVertex; +} + + + +/** Return \c true if we have reach a fixed point of the iterations. */ +GW_Bool GW_Parameterization::PerformLloydIteration( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList ) +{ + /* recompute the whole distance map */ + this->PerformFastMarching( Mesh, VertList ); + /* duplicate the Marching information */ + GW_VoronoiMesh::PrepareInterpolation( Mesh ); + + /* we don't want to use some special energy */ + Mesh.RegisterWeightCallbackFunction( GW_GeodesicMesh::BasicWeightCallback ); + + T_GeodesicVertexList NewVertList; + GW_Bool bStableConfigReached = GW_True; + for( IT_GeodesicVertexList it=VertList.begin(); it!=VertList.end(); ++it ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) *it; + GW_ASSERT( pVert!=NULL ); + GW_GeodesicVertex& NewVert = PerformCentering( *pVert, Mesh ); + if( &NewVert!=pVert ) + bStableConfigReached = GW_False; + NewVertList.push_back( &NewVert ); + } + /* replace the old list by the new one */ + VertList = NewVertList; + + return bStableConfigReached; +} + +void GW_Parameterization::PerformLloydAlgorithm( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList ) +{ + GW_U32 nNbrIter = 0; + while( nNbrIterGetID() ] = Vert.GetFace(); + + + while( !FaceToProceed.empty() ) + { + GW_Face* pFace = FaceToProceed.front(); + GW_ASSERT( pFace!=NULL ); + FaceToProceed.pop_front(); + + /* cut the face */ + this->CutFace( *pFace, Vert, Mesh, pTrissectorInfoMap ); + + /* add neighbors */ + for( GW_U32 i=0; i<3; ++i ) + { + GW_Face* pNewFace = pFace->GetFaceNeighbor(i); + if( pNewFace!=NULL && FaceMap.find(pNewFace->GetID())==FaceMap.end() ) + { + GW_Bool bAddThisFace = GW_False; + for( GW_U32 nVert=0; nVert<3; ++nVert ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) pNewFace->GetVertex(nVert); + GW_ASSERT( pVert!=NULL ); + if( pVert->GetFront()==&Vert ) + { + bAddThisFace = GW_True; + break; + } + } + if( bAddThisFace ) + { + FaceToProceed.push_back( pNewFace ); + FaceMap[ pNewFace->GetID() ] = pNewFace; // so that it won't be added anymore + } + } + } + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::SegmentAllRegions +/** + * \param Mesh [GW_GeodesicMesh&] The mesh. + * \param VertList [T_GeodesicVertexList&] The list of the seed points. + * \author Gabriel Peyré + * \date 7-1-2003 + * + * Segment all the regions of a mesh. + */ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::SegmentAllRegions( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList, T_TrissectorInfoMap* pTrissectorInfoMap ) +{ + CutEdgeMap_.clear(); + /* recompute the whole distance map */ + GW_OutputComment("Recomputing the whole Voronoi tesselation."); + this->PerformFastMarching( Mesh, VertList ); + cout << " * Segmenting each region "; + GW_U32 num = 0; + GW_ProgressBar pb; + pb.Begin(); + for( IT_GeodesicVertexList it=VertList.begin(); it!=VertList.end(); ++it ) + { + GW_GeodesicVertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + this->SegmentRegion( Mesh, *pVert, pTrissectorInfoMap ); + num++; + pb.Update( ((GW_Float)num)/((GW_Float)VertList.size()) ); + } + pb.End(); + cout << endl; + Mesh.BuildConnectivity(); + + if( pTrissectorInfoMap!=NULL ) + { + /* build the map that perform conversion from front number to region number */ + T_U32Map FrontNbr2RegionNbr; + GW_U32 num = 0; + for( IT_GeodesicVertexList it = VertList.begin(); it!=VertList.end(); ++it ) + { + GW_GeodesicVertex* pVert = *it; GW_ASSERT( pVert!=NULL ); + FrontNbr2RegionNbr[pVert->GetID()] =num; + num++; + } + /* replace the number of the vertices by the number of the front */ + for( IT_TrissectorInfoMap it = pTrissectorInfoMap->begin(); it!=pTrissectorInfoMap->end(); ++it ) + { + GW_TrissectorInfo& tr = it->second; + for( GW_U32 i=0; i<3; ++i ) + { + GW_U32 nID = tr.GetId( i ); + GW_ASSERT( FrontNbr2RegionNbr.find(nID)!=FrontNbr2RegionNbr.end() ); + tr.SetId( i, FrontNbr2RegionNbr[nID] ); + } + } + + } +} + + + +GW_Vector3D TotalNormal; +GW_Vector3D TotalCenter; +void ExplodeRegion_Callback1( GW_Vertex& vert ) +{ + TotalCenter += vert.GetPosition(); + TotalNormal += vert.GetNormal(); +} + +GW_Vector3D Displacement; +void ExplodeRegion_Callback2( GW_Vertex& vert ) +{ + vert.GetPosition() += Displacement; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::ExplodeRegion +/** + * \param Mesh [GW_GeodesicMesh&] The mesh. + * \param Vert [GW_GeodesicVertex&] A seed for the region. + * \author Gabriel Peyré + * \date 7-2-2003 + * + * Explode a given region. + */ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::ExplodeRegion( GW_GeodesicVertex& Vert, GW_Float intensity, GW_Float normal_contrib ) +{ + TotalNormal.SetZero(); + TotalCenter.SetZero(); + GW_Mesh::IterateConnectedComponent_Vertex( Vert, ExplodeRegion_Callback1 ); + + TotalNormal.Normalize(); + TotalCenter.Normalize(); + Displacement = TotalNormal*normal_contrib + TotalCenter*(1-normal_contrib); + Displacement.Normalize(); + Displacement *= intensity; + GW_Mesh::IterateConnectedComponent_Vertex( Vert, ExplodeRegion_Callback2 ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::ExplodeAllRegions +/** + * \param VertList [T_GeodesicVertexList&] The list of seed. + * \param intensity [GW_Float] intensity of the explode. + * \param normal_contrib [GW_Float] DESCRIPTION + * \author Gabriel Peyré + * \date 7-2-2003 + * + * Explode each region. + */ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::ExplodeAllRegions( T_GeodesicVertexList& VertList, GW_Float intensity, GW_Float normal_contrib ) +{ + for( IT_GeodesicVertexList it=VertList.begin(); it!=VertList.end(); ++it ) + { + GW_GeodesicVertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + GW_Parameterization::ExplodeRegion( *pVert, intensity, normal_contrib ); + } +} + + +void GW_Parameterization::ExtractSubMeshes_Callback( GW_Face& face ) +{ + GW_U32 nNbrFace = (GW_U32) FaceVector.size(); + FaceVector.push_back( face.GetID() ); + FaceMap[face.GetID()] = nNbrFace; + for( GW_U32 i=0; i<3; ++i ) + { + GW_Vertex* pVert = face.GetVertex(i); GW_ASSERT( pVert!=NULL ); + if( VertexMap.find(pVert->GetID())==VertexMap.end() ) + { + GW_U32 nNbrVert = (GW_U32) VertexVector.size(); + VertexMap[pVert->GetID()] = nNbrVert; + VertexVector.push_back(pVert->GetID()); + } + } +} +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::ExtractSubMeshes +/** + * \param Mesh [GW_GeodesicMesh&] The original mesh. + * \param VertList [T_GeodesicVertexList&] A seed for each component + * \param MeshVector [T_MeshVector&] The place where new meshes are put. + * \author Gabriel Peyré + * \date 1-14-2004 + * + * Create a new mesh for each connected component. + */ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::ExtractSubMeshes( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList, T_GeodesicMeshVector& MeshVector, T_U32Vector* pGlobal2LocalID ) +{ + if( pGlobal2LocalID!=NULL ) + pGlobal2LocalID->resize(Mesh.GetNbrVertex()); + for( IT_GeodesicVertexList it = VertList.begin(); it!=VertList.end(); ++it ) + { + GW_GeodesicVertex* pVert = *it; GW_ASSERT(pVert!=NULL); + FaceVector.clear(); + FaceMap.clear(); + VertexVector.clear(); + VertexMap.clear(); + GW_Mesh::IterateConnectedComponent_Face( * pVert->GetFace(), ExtractSubMeshes_Callback ); + /* create a new mesh */ + GW_U32 nNbrVert = (GW_U32) VertexVector.size(); // already computed + GW_U32 nNbrFace = (GW_U32) FaceVector.size(); + GW_GeodesicMesh* pNewMesh = new GW_GeodesicMesh; + MeshVector.push_back(pNewMesh); + pNewMesh->SetNbrVertex( nNbrVert ); + pNewMesh->SetNbrFace( nNbrFace ); + for( GW_U32 i=0; iCreateNewFace(); + pNewMesh->SetFace(i, &NewFace); + } + for( GW_U32 i=0; iCreateNewVertex(); + pNewMesh->SetVertex(i, &NewVert); + /* copy the vertex */ + GW_U32 nID = VertexVector[i]; + const GW_Vertex& OriginalVert = *Mesh.GetVertex(nID); + NewVert = OriginalVert; + NewVert.SetID(i); // this was changed by the copy + /* keep track of the correspondance */ + if( pGlobal2LocalID!=NULL ) + { + GW_ASSERT( nIDsize() ); + (*pGlobal2LocalID)[nID] = i; + } + /* resolve face attachement */ + const GW_Face* pFace = OriginalVert.GetFace(); + if( pFace!=NULL ) + { + // GW_ASSERT( FaceMap.find(pFace->GetID())!=FaceMap.end() ); + if( FaceMap.find(pFace->GetID())!=FaceMap.end() ) + { + GW_U32 nID = FaceMap[ pFace->GetID() ]; + NewVert.SetFace( * pNewMesh->GetFace( nID ) ); + } + else + { + /* problem : this vertex is attached to another region. */ + GW_ASSERT( GW_False ); + } + } + } + /* create the faces */ + for( GW_U32 i=0; iGetFace(i); + /* copy the face */ + GW_U32 nID = FaceVector[i]; + const GW_Face& OriginalFace = *Mesh.GetFace(nID); + NewFace = OriginalFace; + NewFace.SetID(i); // this was changed + /* resolve Vertex and neighbor */ + for( GW_U32 j=0; j<3; ++j ) + { + GW_U32 VertID = OriginalFace.GetVertex(j)->GetID(); + GW_ASSERT( VertexMap.find(VertID)!=VertexMap.end() ); + GW_U32 nID = VertexMap[VertID]; + NewFace.SetVertex( *pNewMesh->GetVertex(nID), j ); + const GW_Face* pNeigh = OriginalFace.GetFaceNeighbor(j); + if( pNeigh==NULL ) + NewFace.SetFaceNeighbor(NULL, j); + else + { + GW_U32 FaceID = pNeigh->GetID(); + GW_ASSERT( FaceMap.find(FaceID)!=FaceMap.end() ); + nID = FaceMap[FaceID]; + NewFace.SetFaceNeighbor( pNewMesh->GetFace( nID ), j); + } + } + } + } +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::SplitMesh +/** + * \param Mesh [GW_GeodesicMesh&] Mesh to cut + * \param NewMesh [GW_GeodesicMesh&] 1st resulting mesh + * \author Gabriel Peyré + * \date 1-19-2004 + * + * Split a mesh into 2 equal parts. Work only for cylindricaly (whithout cap) + * shaped mesh. + */ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::SplitMesh( GW_GeodesicMesh& Mesh ) +{ + Mesh.CheckIntegrity(); + /* First find a boundary vertex *******************************************************************/ + GW_GeodesicVertex* pStartVert = NULL; + for( GW_U32 i=0; iIsBoundaryVertex() ) + { + pStartVert = pVert; + break; + } + } + GW_ASSERT( pStartVert!=NULL ); + if( pStartVert==NULL ) + return; + /* extract the boundary ****************************************************************************/ + T_GeodesicVertexMap BoundaryVerts; + GW_GeodesicVertex* pCurVert = pStartVert; + GW_GeodesicVertex* pPrevVert = NULL; + do{ + BoundaryVerts[pCurVert->GetID()] = pCurVert; + // select the next vertex + GW_GeodesicVertex* pNewVert = NULL; + for( GW_VertexIterator it=pCurVert->BeginVertexIterator(); it!=pCurVert->EndVertexIterator(); ++it ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) *it; + if( pVert->IsBoundaryVertex()&& pVert!=pPrevVert ) + pNewVert = pVert; + } + GW_ASSERT(pNewVert!=NULL); + pPrevVert = pCurVert; + pCurVert = pNewVert; + } + while(pCurVert!=pStartVert); + /* Computing geodesic cut **************************************************************/ + GW_OutputComment("Computing geodesic cut."); + Mesh.ResetGeodesicMesh(); + Mesh.PerformFastMarching( pStartVert ); + /* find the closest point from another boundary ****************************************************/ + GW_GeodesicVertex* pAwayAnother = NULL; + GW_GeodesicVertex* pAwaySame = NULL; + GW_Float rAwayAnotherMinDist = GW_INFINITE; + GW_Float rAwaySameMaxDist = -GW_INFINITE; + for( GW_U32 i=0; iIsBoundaryVertex() ) + { + if( BoundaryVerts.find(pVert->GetID())==BoundaryVerts.end() ) + { + /* this is a vertex from another boundary */ + if( pVert->GetDistance()GetDistance(); + pAwayAnother = pVert; + } + } + else + { + /* from the same boundary */ + if( pVert->GetDistance()>rAwaySameMaxDist ) + { + rAwaySameMaxDist = pVert->GetDistance(); + pAwaySame = pVert; + } + } + } + } + if( pAwayAnother==NULL ) + pAwayAnother = pAwaySame; + GW_ASSERT( pAwayAnother!=NULL ); + /* compute geodesic between these two points (the distance from vertex 1 is alreade computed) */ + GW_GeodesicPath GeodesicPath; + T_GeodesicVertexList VertPath; + GeodesicPath.ComputePath( *pAwayAnother, 10000 ); + /* add the path to the mesh */ + GW_OutputComment("Extracting the cut."); + GW_VoronoiMesh::AddPathToMeshVertex( Mesh, GeodesicPath, VertPath ); + /* remove redundant vertices */ + T_GeodesicVertexList VertPath2; + Mesh.CheckIntegrity(); + pPrevVert = NULL; + for( IT_GeodesicVertexList it = VertPath.begin(); it!=VertPath.end(); ++it ) + { + GW_GeodesicVertex* pVert = *it; + if( pVert!=pPrevVert ) + VertPath2.push_back(pVert); + pPrevVert = pVert; + } + VertPath = VertPath2; + GW_U32 nNbrVert = (GW_U32) VertPath.size(); + /* keep track of the cutted faces ***************************************************************/ + GW_GeodesicVertex* pVert1 = NULL; + GW_Face* pFace1 = NULL; + GW_Face* pFace2 = NULL; + T_FaceList* FaceListPool = new T_FaceList[nNbrVert]; + GW_U32 num = 0; + for( IT_GeodesicVertexList it = VertPath.begin(); it!=VertPath.end(); ++it ) + { + GW_GeodesicVertex* pVert2 = *it; + if( pVert1!=NULL ) + { + if( pFace1==NULL ) + { + GW_ASSERT( num==1 ); + T_FaceList& FaceList = FaceListPool[0]; + /* we must initialize the faces */ + pVert1->GetFaces( *pVert2, pFace1, pFace2 ); + GW_ASSERT( pFace1!=NULL ); + GW_ASSERT( pFace2!=NULL ); + /* we must initialize the first list */ + GW_Face* pFaceTemp = pFace1; + GW_GeodesicVertex* pDirection = pVert2; + while( pFaceTemp!=NULL ) + { + FaceList.push_back(pFaceTemp); + GW_Face* pNewFaceTemp = pFaceTemp->GetFaceNeighbor( *pDirection ); + pDirection = (GW_GeodesicVertex*) pFaceTemp->GetVertex(*pVert1, *pDirection); + GW_ASSERT( pDirection!=NULL ); + pFaceTemp = pNewFaceTemp; + } + } + T_FaceList& FaceList = FaceListPool[num]; + /* set to NULL neighboor faces */ + GW_I32 nNumNeigh = pFace1->GetEdgeNumber( *pVert1, *pVert2 ); + GW_ASSERT( nNumNeigh>=0 ); + GW_Face* pNeighFace = pFace1->GetFaceNeighbor( nNumNeigh ); + pFace1->SetFaceNeighbor( NULL, nNumNeigh ); + // GW_ASSERT( pNeighFace!=NULL ); + if( pNeighFace!=NULL ) + { + pVert1->SetFace(*pNeighFace); + pVert2->SetFace(*pNeighFace); + nNumNeigh = pNeighFace->GetEdgeNumber( *pVert1, *pVert2 ); + GW_ASSERT( nNumNeigh>=0 ); + pNeighFace->SetFaceNeighbor( NULL, nNumNeigh ); + } + else + { + nNbrVert--; + VertPath.pop_back(); + break; + } + /* find the half 1-ring of faces */ + GW_GeodesicVertex* pDirection = pVert1; + IT_GeodesicVertexList it2 = it; + it2++; + GW_GeodesicVertex* pNext = NULL; + if( it2!=VertPath.end() ) + pNext = *it2; + GW_Bool bFinished = GW_False; + do + { + FaceList.push_back(pFace1); + /* test if we are on last face of the 1-ring */ + if( pNext!=NULL ) + bFinished = GW_Vertex::ComputeUniqueId( *pFace1->GetVertex(0),*pFace1->GetVertex(1),*pFace1->GetVertex(2) ) + == GW_GeodesicVertex::ComputeUniqueId( *pVert2, *pDirection, *pNext ); + if( !bFinished ) + { + /* update direction and new face */ + GW_ASSERT( pFace1->GetEdgeNumber( *pDirection )>=0 ); + GW_Face* pNewFace1 = pFace1->GetFaceNeighbor( *pDirection ); + pDirection = (GW_GeodesicVertex*) pFace1->GetVertex(*pVert2, *pDirection); + GW_ASSERT( pDirection!=NULL ); + pFace1 = pNewFace1; + } + } + while( pFace1!=NULL && !bFinished ); + } + pVert1 = pVert2; + num++; + } + /* Create new vertices *****************************************************************/ + GW_U32 nOldNbrVertices = Mesh.GetNbrVertex(); + Mesh.SetNbrVertex( nOldNbrVertices+nNbrVert ); + num = 0; + for( IT_GeodesicVertexList it = VertPath.begin(); it!=VertPath.end(); ++it ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) *it; + GW_GeodesicVertex* pNewVert = (GW_GeodesicVertex*) &Mesh.CreateNewVertex(); + *pNewVert = *pVert; // copy information + Mesh.SetVertex(nOldNbrVertices+num, pNewVert); + T_FaceList& FaceList = FaceListPool[num]; + for( IT_FaceList it_face = FaceList.begin(); it_face != FaceList.end(); ++it_face ) + { + GW_Face* pFace = *it_face; + GW_I32 nNumVert = pFace->GetEdgeNumber( *pVert ); + GW_ASSERT( nNumVert>=0 ); + pFace->SetVertex( *pNewVert, nNumVert ); + } + num++; + } + GW_DELETEARRAY(FaceListPool); + /* rebuild connectivity for the mesh *************************************************/ +// Mesh.BuildConnectivity(); + Mesh.CheckIntegrity(); +} + + + + +void GW_Parameterization::BuildConformalMatrix( GW_Mesh& Mesh, GW_SparseMatrix& K, const GW_MatrixNxP* M) +{ + GW_U32 p = Mesh.GetNbrVertex(); + for( GW_U32 i=0; iGetNumberNeighbor()+1); + GW_Float rTotalWeight = 0; + for( GW_VertexIterator it = pVerti->BeginVertexIterator(); it!=pVerti->EndVertexIterator(); ++it ) + { + GW_Vertex* pVertj = *it; GW_ASSERT( pVertj!=NULL ); + GW_U32 j = pVertj->GetID(); + GW_Vertex* pVertL = it.GetLeftVertex(); + GW_Vertex* pVertR = it.GetRightVertex(); + GW_Float rVal = 0; + if( pVertL!=NULL ) + { +#if 0 + if( M!=NULL ) + { + GW_Float a = M->GetData(i,j); + /* retrieve distances */ + GW_U32 k = pVertL->GetID(); + GW_Float b = M->GetData(i,k); + GW_Float c = M->GetData(j,k); + GW_Float s = (a+b+c)*0.5; + /* compute tan(A/2)² */ + GW_Float rTan = (s-b)*(s-c)/( s*(s-a) ); + // GW_ASSERT( rTan>0 ); + if( rTan>0 ) + rVal += (1-rTan)/( 2*sqrt(rTan) ); + else + cout << " .. One degenerate triangle ..." << endl; + } +#else + GW_Vector3D e1 = pVerti->GetPosition()-pVertL->GetPosition(); e1.Normalize(); + GW_Vector3D e2 = pVertj->GetPosition()-pVertL->GetPosition(); e2.Normalize(); + GW_Float dot = e1*e2; + if( dot!=1 ) + rVal += dot/sqrt(1-dot*dot); +#endif + } + if( pVertR!=NULL ) + { +#if 0 + if( M!=NULL ) + { + GW_Float a = M->GetData(i,j); + /* retrieve distances */ + GW_U32 k = pVertR->GetID(); + GW_Float b = M->GetData(i,k); + GW_Float c = M->GetData(j,k); + GW_Float s = (a+b+c)*0.5; + /* compute tan(A/2)² */ + GW_Float rTan = (s-b)*(s-c)/( s*(s-a) ); + // GW_ASSERT( rTan>0 ); + if( rTan>0 ) + rVal += (1-rTan)/( 2*sqrt(rTan) ); + else + cout << " .. One degenerate triangle ..." << endl; + } +#else + GW_Vector3D e1 = pVerti->GetPosition()-pVertR->GetPosition(); e1.Normalize(); + GW_Vector3D e2 = pVertj->GetPosition()-pVertR->GetPosition(); e2.Normalize(); + GW_Float dot = e1*e2; + if( dot!=1 ) + rVal += dot/sqrt(1-dot*dot); +#endif + } + K.SetData(i,j, rVal); + rTotalWeight += rVal; + } + if( rTotalWeight==0 ) // should not happen + { + GW_U32 nNeigSize_i = pVerti->GetNumberNeighbor(); + for( GW_VertexIterator it = pVerti->BeginVertexIterator(); it!=pVerti->EndVertexIterator(); ++it ) + { + GW_Vertex* pVertj = *it; GW_ASSERT( pVertj!=NULL ); + GW_U32 nNeigSize_j = pVertj->GetNumberNeighbor(); + GW_U32 j = pVertj->GetID(); + rTotalWeight += 1.0/sqrt(nNeigSize_i*nNeigSize_j); + K.SetData(i,j, 1.0/sqrt(nNeigSize_i*nNeigSize_j) ); + } + } + K.SetData(i,i, -rTotalWeight); + } +} + + + +void GW_Parameterization::BuildTutteMatrix( GW_Mesh& Mesh, GW_SparseMatrix& K ) +{ + GW_U32 p = Mesh.GetNbrVertex(); + for( GW_U32 i=0; iGetNumberNeighbor(); + K.SetRowSize(i,nNeigSize_i); + GW_Float rTotalWeight = 0; + for( GW_VertexIterator it = pVerti->BeginVertexIterator(); it!=pVerti->EndVertexIterator(); ++it ) + { + GW_Vertex* pVertj = (GW_Vertex*) *it; GW_ASSERT( pVertj!=NULL ); + GW_U32 nNeigSize_j = pVertj->GetNumberNeighbor(); + GW_U32 j = pVertj->GetID(); + rTotalWeight += 1.0/sqrt(nNeigSize_i*nNeigSize_j); + K.SetData(i,j, 1.0/sqrt(nNeigSize_i*nNeigSize_j)); + } + K.SetData(i,i, -rTotalWeight); + } +} + +void GW_Parameterization::ResolutionSpectral( GW_MatrixNxP& K, GW_MatrixNxP& L, GW_U32 EIG ) +{ + GW_U32 p = L.GetNbrCols(); + GW_U32 EIG1 = EIG; + GW_U32 EIG2 = EIG+1; + GW_MatrixNxP U(p,p); + GW_MatrixNxP V(p,p); + GW_VectorND Vp(p); + K.SVD( U, V, &Vp, NULL ); +// cout << Vp; + GW_Float rScaleX = Vp[EIG1]; // sqrt(Vp[EIG1]); + GW_Float rScaleY = Vp[EIG2]; // sqrt(Vp[EIG2]); + for( GW_U32 i=0; ieps ) + { + GW_Float w = 1-(err-eps)/(err_start-eps); + w = GW_MAX( w, w_prev ); + w = GW_MAX( w, ((GW_Float) nNbrIter)/((GW_Float) nMaxIter) ); + pb.Update(w); + w_prev = w; + + BiCGIter( &M.M_, &xv, &bv, nStepIter, pPrecond, Omega ); + // test for stop + nNbrIter += nStepIter; + if( LASResult()!=LASOK ) + { + GW_ASSERT(GW_False); + cout << "Error "; + WriteLASErrDescr(stdout); + } + /* r = b - A * x */ + GW_SparseMatrix::Copy( x, xv ); + err = (b-M*x).Norm2(); + } + pb.End(); + cout << endl; + + + // std::ofstream str("log.log"); + // str << M << b << x; + // str.close(); + + GW_SparseMatrix::Copy( x, xv ); + + + /* destroy data */ + V_Destr(&xv); + V_Destr(&bv); + +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::ResolutionBoundaryFree +/** + * \param VoronoiMesh [GW_VoronoiMesh&] The coarse mesh to flatten. + * \param K [GW_MatrixNxP&] The weight matrix for the flattening. + * \param L [GW_MatrixNxP&] The position of the vertices. + * \param M [GW_MatrixNxP&] The distance matrix. + * \author Gabriel Peyré + * \date 1-24-2004 + * + * Solve the flattening problem using boundary free formulation. + */ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::ResolutionBoundaryFree( GW_Mesh& Mesh, GW_SparseMatrix& K, GW_MatrixNxP& L, GW_MatrixNxP* M ) +{ + GW_U32 p = Mesh.GetNbrVertex(); + GW_SparseMatrix K1(2*p); + + GW_OutputComment("Building the boundary free matrix."); + for( GW_U32 i=0; iIsBoundaryVertex() ) + { + K1.SetRowSize( i, K.GetRowSize(i) ); + K1.SetRowSize( i+p, K.GetRowSize(i) ); + } + else + { + K1.SetRowSize( i, K.GetRowSize(i)+2 ); + K1.SetRowSize( i+p, K.GetRowSize(i)+2 ); + } + /* set up X and Y line : make a copy */ + for( GW_U32 entry=0; entryIsBoundaryVertex() ) + { + /* we must adjust the corresponding row */ + GW_Vertex* pVert1 = NULL; + GW_Vertex* pVert2 = NULL; + /* special case for boundary vertices : must turn IN CLOUNTERCLOCKWISE sense */ + GW_Face* pFace = pVert->GetFace(); GW_ASSERT( pFace!=NULL ); + // first find FIRST boundary vertex + GW_Face* pStartFace = pFace; + GW_Vertex* pDirVertex = pFace->GetNextVertex(*pVert); GW_ASSERT( pDirVertex!=NULL ); + pDirVertex = pFace->GetNextVertex(*pDirVertex); GW_ASSERT( pDirVertex!=NULL ); + GW_U32 num = 0; + while( pFace->GetFaceNeighbor(*pDirVertex)!=NULL && num<100 ) + { + num++; + GW_Face* pPrevFace = pFace; + pFace = pFace->GetFaceNeighbor(*pDirVertex); + pDirVertex = pPrevFace->GetVertex(*pVert,*pDirVertex); GW_ASSERT(pDirVertex!=NULL); + } + GW_ASSERT( num<100 ); + // GW_ASSERT( pFace!=pStartFace || pStartFace->GetFaceNeighbor(*pDirVertex)!=NULL ); + pVert1 = pFace->GetVertex(*pVert,*pDirVertex); GW_ASSERT(pVert1!=NULL); + // then find LAST vertex + pDirVertex = pVert1; + num = 0; + while( pFace->GetFaceNeighbor(*pDirVertex)!=NULL && num<100 ) + { + num++; + GW_Face* pPrevFace = pFace; + pFace = pFace->GetFaceNeighbor(*pDirVertex); + pDirVertex = pPrevFace->GetVertex(*pVert,*pDirVertex); GW_ASSERT(pDirVertex!=NULL); + } + GW_ASSERT( num<100 ); + // GW_ASSERT( pFace!=pStartFace || pStartFace->GetFaceNeighbor(*pDirVertex)!=NULL ); + pVert2 = pFace->GetVertex(*pVert,*pDirVertex); GW_ASSERT(pVert2!=NULL); + GW_ASSERT( pVert1!=NULL && pVert2!=NULL ); + GW_Float epsilon = 1; + /* X coords **********************************/ + K1.SetData( i,pVert1->GetID()+p, +epsilon ); // add a constraint on -Y coordinate + K1.SetData( i,pVert2->GetID()+p, -epsilon ); + /* Y coords **********************************/ + K1.SetData( i+p,pVert1->GetID(), -epsilon ); // add a constraint on X coordinate + K1.SetData( i+p,pVert2->GetID(), +epsilon ); + } + } + + + GW_VectorND x(2*p, GW_Float(0)); // solution + GW_VectorND b(2*p, GW_Float(0)); // rhs + + + /* add two more constraints : choose them as far as possible from one another */ + GW_Vertex* pVert[2]; + if( M!=NULL ) // use farthest vertices + { + GW_U32 i_max = 0, j_max = 0; + GW_Float dist_max = 0; + for( GW_U32 i=0; iGetData(i,j)>dist_max ) + { + dist_max = M->GetData(i,j); + i_max = i; j_max = j; + } + } + pVert[0] = Mesh.GetVertex(i_max); + pVert[1] = Mesh.GetVertex(j_max); + } + else + { + // use random + pVert[0] = Mesh.GetRandomVertex(); + pVert[1] = Mesh.GetRandomVertex(); + } + + GW_Vector2D arbitrary_pos[2] = { GW_Vector2D(-2.5,0), GW_Vector2D(2.5,0) }; + for( GW_U32 k=0; k<2; ++k ) + { + GW_U32 i = pVert[k]->GetID(); + /* clear this row */ + K1.SetRowSize(i,0); + K1.SetRowSize(i,1); + K1.SetRowSize(i+p,0); + K1.SetRowSize(i+p,1); + /* Add a position constraint */ + K1.SetData( i, i, 1 ); // X constraint + K1.SetData( i+p, i+p, 1 ); // Y constraint + b[i] = arbitrary_pos[k][0]; + b[i+p] = arbitrary_pos[k][1]; + } + + cout << " * System resolution."; + // K1.LUSolve( x, b ); // for small system + GW_Parameterization::SolveSystem( K1, x, b ); + + + for( GW_U32 j=0; j boundary_list; + Mesh.ExtractAllBoundaries( boundary_list ); + if( boundary_list.size()==0 ) + { + GW_OutputComment("Closed mesh, can't flatten this mesh."); + GW_ASSERT( GW_False ); + return; + } + if( boundary_list.size()>1 ) + GW_OutputComment("Warning, this mesh has more than 1 boundary."); + T_VertexList boundary = boundary_list.front(); + /* find vertex position **************************************************/ + T_Vector2DMap Positions; // position of boundary points + if( pInitialPos!=NULL ) + { + Positions = *pInitialPos; + } + else if( pTrissectorInfoMap==NULL ) + { + GW_Float perimeter = Mesh.GetPerimeter( boundary ); + /* flatten into a disk */ + GW_Float curv_abs = 0; // curvilinear absice + GW_Vertex* pPrev = NULL; + for( IT_VertexList it = boundary.begin(); it!=boundary.end(); ++it ) + { + GW_Vertex* pVert = *it; GW_ASSERT( pVert!=NULL ); + if( pPrev!=NULL ) + curv_abs += (pVert->GetPosition()-pPrev->GetPosition()).Norm(); + GW_Float theta = GW_TWOPI*curv_abs/perimeter; + Positions[ pVert->GetID() ] = GW_Vector2D( cos(theta), sin(theta) ); + pPrev = pVert; + } + } + else + { + GW_ASSERT( pCyclicPosition!=NULL ); + /* flatten using a convex polyhedron, first find stating vertex */ + IT_VertexList it_start = boundary.end(); + for( IT_VertexList it = boundary.begin(); it!=boundary.end(); ++it ) + { + GW_Vertex* pVert = *it; GW_ASSERT( pVert!=NULL ); + if( pTrissectorInfoMap->find(pVert->GetID())!=pTrissectorInfoMap->end() ) + { + it_start = it; + break; + } + } + GW_ASSERT( it_start != boundary.end() ); + if( it_start==boundary.end() ) + return; + /* now extract each sub-boundary */ + std::list boundary_pieces; + IT_VertexList it_cur = it_start; + GW_Float rPerimeter = 0; + T_FloatVector Perimeters; + Perimeters.resize( pTrissectorInfoMap->size() ); + GW_U32 num = 0; + while( GW_True ) + { + T_VertexList new_piece; + /* feed the piece */ + new_piece.push_back( *it_cur ); + GW_Vertex* pVert = NULL; + do + { + it_cur++; + if( it_cur==boundary.end() ) // treat the boundary as cyclic + it_cur = boundary.begin(); + new_piece.push_back( *it_cur ); + pVert = *it_cur; GW_ASSERT(pVert!=NULL); + } + while( pTrissectorInfoMap->find(pVert->GetID())==pTrissectorInfoMap->end() ); + /* add this to the list */ + boundary_pieces.push_back( new_piece ); + /* compute perimeter */ + GW_Float perim = GW_Mesh::GetPerimeter( new_piece, GW_False ); + Perimeters[num] = perim; + rPerimeter += perim; + /* check for stop */ + if( it_cur == it_start ) + break; + num++; + }; + /* normaly we should have extracted as many piece as they were setted position */ + GW_U32 nNbrPieces = (GW_U32) boundary_pieces.size(); + GW_ASSERT( nNbrPieces==pTrissectorInfoMap->size() ); + /* set up the position for each base point */ + pCyclicPosition->resize( nNbrPieces ); + /* linearly interpolate the position */ + num = 0; + GW_Float theta = 0; + for( std::list::iterator it_piece = boundary_pieces.begin(); it_piece!=boundary_pieces.end(); ++it_piece ) + { + T_VertexList& piece = *it_piece; + /* first compute the position of start & end */ + GW_Vector2D pos1 = GW_Vector2D( cos(theta), sin(theta) ); + theta += GW_TWOPI * Perimeters[num]/rPerimeter; + if( num==nNbrPieces-1 ) + theta = 0; + GW_Vector2D pos2 = GW_Vector2D( cos(theta), sin(theta) ); + /* set up the cyclic ordering of vertices */ + GW_ASSERT( pTrissectorInfoMap->find(piece.front()->GetID())!=pTrissectorInfoMap->end() ); + GW_TrissectorInfo& tr = (*pTrissectorInfoMap)[piece.front()->GetID()]; + tr.SetPosition( pos1 ); + (*pCyclicPosition)[num] = tr; + /* compute the position of each point */ + GW_Float rLength = Perimeters[num]; + GW_Float curv_abs = 0; // curvilinear absice + GW_Vertex* pPrev = NULL; + for( IT_VertexList it = piece.begin(); it!=piece.end(); ++it ) + { + GW_Vertex* pVert = *it; GW_ASSERT( pVert!=NULL ); + if( pPrev!=NULL ) + curv_abs += (pVert->GetPosition()-pPrev->GetPosition()).Norm(); + GW_Float lambda = curv_abs/rLength; + GW_Vector2D pos = pos1*(1-lambda) + pos2*lambda; + Positions[ pVert->GetID() ] = pos; + pPrev = pVert; + } + num++; + } + + } + /* set up the new matrix ****************************************************/ + GW_U32 p = Mesh.GetNbrVertex(); + for( IT_Vector2DMap it=Positions.begin(); it!=Positions.end(); ++it ) + { + GW_U32 i = it->first; + K.SetRowSize(i,0); + K.SetRowSize(i,1); + K.SetData(i,i,1); + } + + /* solve the system *********************************************************/ + GW_VectorND x(p, GW_Float(0)); // solution + for( GW_U32 coord = 0; coord<2; ++coord ) + { + /* build RHS */ + GW_VectorND b(p, GW_Float(0)); // rhs + for( IT_Vector2DMap it=Positions.begin(); it!=Positions.end(); ++it ) + { + GW_U32 i = it->first; + GW_Vector2D pos = it->second; + b.SetData(i, pos[coord]); + } + + /* solve system */ + cout << " * System resolution."; + GW_Parameterization::SolveSystem( K, x, b ); + + for( GW_U32 j=0; jGetID(); + Mesh.ResetGeodesicMesh(); + Mesh.PerformFastMarching( pVert ); + for( GW_U32 j=0; jGetDistance()*pVert2->GetDistance() ); + } + i++; + pb.Update(((GW_Float)i)/((GW_Float)BaseVertex.size())); + } + pb.End(); + cout << endl; + /* flatten the base points *************************************************************************************/ + /* build the distance matrix */ + GW_MatrixNxP M(p,p,0.0); + for( GW_U32 i=0; iSetPosition( GW_Vector3D(Pos[0], Pos[1], 0) ); + } + // rescale the mesh. + FlattenedMesh.ScaleVertex( 5/FlattenedMesh.GetBoundingRadius() ); +} + + + + + + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::ParameterizeAllRegions +/** + * \param Mesh [GW_GeodesicMesh&] The mesh. Must have been cut in separated component. + * \param VertList [T_GeodesicVertexList&] Seed points. + * \author Gabriel Peyré + * \date 7-3-2003 + * + * Parameterize each region of the mesh. + */ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::ParameterizeAllRegions( T_GeodesicVertexList& VertList ) +{ + /* clear previous mesh list */ + for( IT_MeshVector itMesh=MeshVector_.begin(); itMesh!=MeshVector_.end(); ++itMesh ) + { + GW_GeodesicMesh* pMesh = (GW_GeodesicMesh*) *itMesh; + GW_DELETE( pMesh ); + } + MeshVector_.clear(); + MeshVector_.resize( VertList.size() ); + IT_GeodesicVertexList it = VertList.begin(); + for( GW_U32 i=0; iParameterizeRegion( *pVert, *pMesh ); + it++; + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::ParameterizeRegion +/** + * \param Seed [GW_GeodesicVertex&] Seed of the region. + * \param BaseDomain [GW_GeodesicMesh&] The domain of the parameterization. + * \author Gabriel Peyré + * \date 7-3-2003 + * + * Parameterize a given part of the mesh. + */ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::ParameterizeRegion( GW_GeodesicVertex& Seed, GW_GeodesicMesh& BaseDomain ) +{ + +} + + + + + + + + + + + + + + + + +/* assign to each vertex a pointer to the center of its Voronoi cell */ +GW_GeodesicVertex** VertexVoronoiCells; +GW_GeodesicVertex* pMaxDistVert; +GW_Float rMaxDist; +/** We add a new point only if it belongs to the current Voronoi diagram */ +GW_Bool GW_Parameterization::PerformPseudoLloydIteration_Insertion( GW_GeodesicVertex& CurVert, GW_Float rNewDist ) +{ + GW_ASSERT( pCurVoronoiDiagram_!=NULL ); + GW_ASSERT( VertexVoronoiCells!=NULL ); + GW_GeodesicVertex* pVertVoronoiDiagram = VertexVoronoiCells[CurVert.GetID()]; + return pVertVoronoiDiagram == pCurVoronoiDiagram_; +} +void GW_Parameterization::PerformPseudoLloydIteration_NeswDead( GW_GeodesicVertex& Vert ) +{ + if( Vert.GetDistance()>=rMaxDist ) + { + rMaxDist = Vert.GetDistance(); + pMaxDistVert = ‖ + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::PerformPseudoLloydIteration +/** + * \param Mesh [GW_GeodesicMesh&] The mesh. + * \param VertList [T_GeodesicVertexList&] List of center of the Voronoi cells. + * \author Gabriel Peyré + * \date 1-14-2004 + * + * Perform a centering step for each Voronoi region. + */ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::PerformPseudoLloydIteration( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList ) +{ + VertexVoronoiCells = new GW_GeodesicVertex*[Mesh.GetNbrVertex()]; + /* recompute the whole distance map */ + GW_OutputComment("Recomputing the whole original Voronoi diagram."); + this->PerformFastMarching( Mesh, VertList ); + + /* duplicate the Marching information */ + for( GW_U32 i=0; iGetFront(); + } + + /* compute the border of each cell */ + std::map CellBoundaryMap; + for( GW_U32 i=0; iGetVertex(j1); GW_ASSERT( pVert1!=NULL ); + GW_GeodesicVertex* pVert2 = (GW_GeodesicVertex*) pFace->GetVertex(j2); GW_ASSERT( pVert2!=NULL ); + if( pVert1->GetFront()!=pVert2->GetFront() && pVert1->GetFront()!=NULL ) + { + GW_U32 nID = pVert1->GetFront()->GetID(); + if( CellBoundaryMap.find(nID)==CellBoundaryMap.end() ) + CellBoundaryMap[nID] = new T_GeodesicVertexList; // we should create a new map + T_GeodesicVertexList* pCurMap = CellBoundaryMap[nID]; + pCurMap->push_back(pVert1); + } + } + } + + /* perform the centering for each cell */ + T_GeodesicVertexList NewVertList; + Mesh.RegisterWeightCallbackFunction( GW_GeodesicMesh::BasicWeightCallback ); // we don't want to use some special energy + Mesh.RegisterVertexInsersionCallbackFunction( PerformPseudoLloydIteration_Insertion ); + Mesh.RegisterNewDeadVertexCallbackFunction( PerformPseudoLloydIteration_NeswDead ); + GW_U32 num = 0; + cout << " * Centering vertices "; + GW_ProgressBar pb; + pb.Begin(); + for( IT_GeodesicVertexList it = VertList.begin(); it!=VertList.end(); ++it ) + { + GW_GeodesicVertex* pCenterVert = *it; GW_ASSERT( pCenterVert!=NULL ); + GW_U32 nID = pCenterVert->GetID(); + /* retrieve the list of boundary vertices */ + GW_ASSERT( CellBoundaryMap.find(nID)!=CellBoundaryMap.end() ); + if( CellBoundaryMap.find(nID)!=CellBoundaryMap.end() ) // in case this is a closed region ... + { + T_GeodesicVertexList* pBoundaryVerts = CellBoundaryMap[nID]; + /* perform a local propagation, by restricting it to the cell */ + pCurVoronoiDiagram_ = pCenterVert; + pMaxDistVert = NULL; + rMaxDist = 0; + GW_Parameterization::PerformFastMarching( Mesh, *pBoundaryVerts ); + /* perhaps check here if we can find better */ + GW_ASSERT( pMaxDistVert!=NULL ); + NewVertList.push_back( pMaxDistVert ); + num++; + pb.Update( ((GW_Float)num)/((GW_Float)VertList.size()) ); + } + else + NewVertList.push_back( pCenterVert ); + } + pb.End(); + cout << endl; + pCurVoronoiDiagram_ = NULL; + Mesh.RegisterVertexInsersionCallbackFunction( NULL ); + Mesh.RegisterNewDeadVertexCallbackFunction( NULL ); + + + /* replace the old list by the new one */ + VertList = NewVertList; + + GW_DELETEARRAY(VertexVoronoiCells); + /* clear the maps */ + for( std::map::iterator it=CellBoundaryMap.begin(); it!=CellBoundaryMap.end(); ++it ) + GW_DELETE(it->second); +} + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_Parameterization.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_Parameterization.h.svn-base new file mode 100644 index 0000000..4de46ad --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_Parameterization.h.svn-base @@ -0,0 +1,312 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Parameterization.h + * \brief Definition of class \c GW_Parameterization + * \author Gabriel Peyré + * \date 7-1-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_PARAMETERIZATION_H_ +#define _GW_PARAMETERIZATION_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_ProgressBar.h" +#include "GW_GeodesicMesh.h" +#include "GW_VoronoiMesh.h" + +namespace GW { + +class GW_TrissectorInfo +{ +public: + GW_TrissectorInfo(GW_I32 interior = -1, GW_I32 exterior1 = -1, GW_I32 exterior2 = -1) + { + nInterior_ = interior; + nExterior1_ = exterior1; + nExterior2_ = exterior2; + } + + virtual GW_TrissectorInfo& operator=(const GW_TrissectorInfo& v) + { + nInterior_ = v.nInterior_; + nExterior1_ = v.nExterior1_; + nExterior2_ = v.nExterior2_; + Pos_ = v.Pos_; + return *this; + } + GW_I32 GetInterior() + { + return nInterior_; + } + GW_I32 GetExterior(GW_U32 i) + { + GW_ASSERT(i<2); + if( i==0 ) + return nExterior1_; + if( i==1 ) + return nExterior2_; + return -1; + } + void SetInterior(GW_U32 val) + { + nInterior_ = val; + } + void SetExterior(GW_U32 i, GW_U32 val) + { + GW_ASSERT(i<2); + if( i==0 ) + nExterior1_ = val; + if( i==1 ) + nExterior2_ = val; + } + GW_U32 GetId(GW_U32 i) + { + GW_ASSERT(i<3); + if( i==0 ) + return nExterior1_; + if( i==1 ) + return nExterior2_; + if( i==2 ) + return nInterior_; + return -1; + } + void SetId(GW_U32 i, GW_U32 val) + { + GW_ASSERT(i<3); + if( i==0 ) + nExterior1_ = val; + if( i==1 ) + nExterior2_ = val; + if( i==2 ) + nInterior_ = val; + } + + void SetPosition( GW_Vector2D& pos ) + { Pos_ = pos; } + GW_Vector2D& GetPosition() + { return Pos_; } + +private: + + GW_I32 nInterior_; + GW_I32 nExterior1_; + GW_I32 nExterior2_; + + GW_Vector2D Pos_; +}; + + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_TrissectorInfo */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_TrissectorInfoMap; +typedef T_TrissectorInfoMap::iterator IT_TrissectorInfoMap; +typedef T_TrissectorInfoMap::reverse_iterator RIT_TrissectorInfoMap; +typedef T_TrissectorInfoMap::const_iterator CIT_TrissectorInfoMap; +typedef T_TrissectorInfoMap::const_reverse_iterator CRIT_TrissectorInfoMap; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_TrissectorInfo */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_TrissectorInfoVector; +typedef T_TrissectorInfoVector::iterator IT_TrissectorInfoVector; +typedef T_TrissectorInfoVector::reverse_iterator RIT_TrissectorInfoVector; +typedef T_TrissectorInfoVector::const_iterator CIT_TrissectorInfoVector; +typedef T_TrissectorInfoVector::const_reverse_iterator CRIT_TrissectorInfoVector; +//@} + + + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_Parameterization + * \brief Build a parameterization of a mesh. + * \author Gabriel Peyré + * \date 7-1-2003 + * + * First segement the mesh using a Lloyd method. + * Then parameterize each region. + */ +/*------------------------------------------------------------------------------*/ + +class GW_Parameterization +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_Parameterization(); + virtual ~GW_Parameterization(); + //@} + + //------------------------------------------------------------------------- + /** \name Lloyd algorithm */ + //------------------------------------------------------------------------- + //@{ + void PerformLloydAlgorithm( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList ); + GW_Bool PerformLloydIteration( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList ); + GW_GeodesicVertex& PerformCentering( GW_GeodesicVertex& Vert, GW_GeodesicMesh& Mesh ); + void PerformPseudoLloydIteration( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList ); + //@} + + //------------------------------------------------------------------------- + /** \name Segementation. */ + //------------------------------------------------------------------------- + //@{ + void SegmentRegion( GW_GeodesicMesh& Mesh, GW_GeodesicVertex& Vert, T_TrissectorInfoMap* pTrissectorInfoMap = NULL ); + void SegmentAllRegions( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList, T_TrissectorInfoMap* pTrissectorInfoMap = NULL ); + //@} + + //------------------------------------------------------------------------- + /** \name Parameterization. */ + //------------------------------------------------------------------------- + //@{ + enum T_ParameterizationType + { + kGeodesicConformal, + kTutte, + kGeodesicIsomap, + kGeodesicLLE, + }; + enum T_ResolutionType + { + kSpectral, + kBoundaryFree, + kBoundaryFixed + }; + void ParameterizeMesh( GW_GeodesicMesh& Mesh, GW_VoronoiMesh& VoronoiMesh, GW_GeodesicMesh& FlattenedMesh, + T_ParameterizationType ParamType = kGeodesicIsomap, T_ResolutionType ResolType = kSpectral, + T_GeodesicVertexMap* pBoundaryVertPos = NULL ); + + /* parameterization helpers **************************************************/ + static void BuildConformalMatrix( GW_Mesh& VoronoiMesh, GW_SparseMatrix& K, const GW_MatrixNxP* M = NULL); + static void BuildTutteMatrix( GW_Mesh& VoronoiMesh, GW_SparseMatrix& K ); + static void ResolutionSpectral( GW_MatrixNxP& K, GW_MatrixNxP& L, GW_U32 EIG = 0 ); + static void ResolutionBoundaryFree( GW_Mesh& VoronoiMesh, GW_SparseMatrix& K, GW_MatrixNxP& L, GW_MatrixNxP* M = NULL ); + static void ResolutionBoundaryFixed( GW_Mesh& Mesh, GW_SparseMatrix& K, GW_MatrixNxP& L, + T_Vector2DMap* pInitialPos = NULL, T_TrissectorInfoMap* pTrissectorInfoMap = NULL, + T_TrissectorInfoVector* pCyclicPosition = NULL ); + + void ParameterizeRegion( GW_GeodesicVertex& Seed, GW_GeodesicMesh& BaseDomain ); + void ParameterizeAllRegions( T_GeodesicVertexList& VertList ); + //@} + + static void ExtractSubMeshes( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList, + T_GeodesicMeshVector& MeshVector, T_U32Vector* pGlobal2LocalID = NULL ); + static void SplitMesh( GW_GeodesicMesh& Mesh ); + + //------------------------------------------------------------------------- + /** \name Pretty helper. */ + //------------------------------------------------------------------------- + //@{ + static void ExplodeRegion( GW_GeodesicVertex& Vert, GW_Float intensity, GW_Float normal_contrib ); + static void ExplodeAllRegions( T_GeodesicVertexList& VertList, GW_Float intensity = 0.1, GW_Float normal_contrib=0.5 ); + //@} + + static void PerformFastMarching( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList ); + +private: + + + /* Lloyd helpers *************************************************************************/ + GW_U32 nNbrMaxIterLloyd_; + GW_U32 nNbrMaxIterLloydDescent_; + static GW_GeodesicVertex* pCurVoronoiDiagram_; + GW_Float ComputeCenteringEnergy( GW_GeodesicVertex& Vert, GW_GeodesicVertex& StartVert, GW_GeodesicMesh& Mesh ); + static GW_Bool FastMarchingCallbackFunction_Centering( GW_GeodesicVertex& CurVert, GW_Float rNewDist ); + + /* pseudo Lloyd helpers ******************************************************************/ + static GW_Bool PerformPseudoLloydIteration_Insertion( GW_GeodesicVertex& CurVert, GW_Float rNewDist ); + static void PerformPseudoLloydIteration_NeswDead( GW_GeodesicVertex& Vert ); + + /* segmentation helpers ******************************************************************/ + void CutFace( GW_Face& Face, GW_GeodesicVertex& BaseVert, GW_GeodesicMesh& Mesh, T_TrissectorInfoMap* pTrissectorInfoMap = NULL ); + void CutEdge( GW_GeodesicVertex& Vert1, GW_GeodesicVertex& Vert2, + GW_GeodesicVertex* &pInter_1, GW_GeodesicVertex* &pInter_2, GW_GeodesicMesh& Mesh ); + /** a table of synonym */ + T_U32Map VertexConnexion_; + + /* ExtractSubMesh helper ****************************************************************/ + static void ExtractSubMeshes_Callback( GW_Face& face ); + static T_U32Vector FaceVector; + static T_U32Map FaceMap; + static T_U32Vector VertexVector; + static T_U32Map VertexMap; + + /* system resolution *********************************************************************/ + static void SolveSystem( GW_SparseMatrix& M, GW_VectorND& x, GW_VectorND& b ); + + /** record information about a cut */ + class GW_EdgeCut + { + public: + GW_EdgeCut() + { + pBaseVert_[0] = NULL; + pBaseVert_[1] = NULL; + pNewVert_[0] = NULL; + pNewVert_[1] = NULL; + } + GW_EdgeCut( GW_GeodesicVertex& BaseVert1, GW_GeodesicVertex& BaseVert2, + GW_GeodesicVertex& NewVert1, GW_GeodesicVertex& NewVert2 ) + { + pBaseVert_[0] = &BaseVert1; + pBaseVert_[1] = &BaseVert2; + pNewVert_[0] = &NewVert1; + pNewVert_[1] = &NewVert2; + } + GW_EdgeCut& operator = (const GW_EdgeCut& c) + { + pBaseVert_[0] = c.pBaseVert_[0]; + pBaseVert_[1] = c.pBaseVert_[1]; + pNewVert_[0] = c.pNewVert_[0]; + pNewVert_[1] = c.pNewVert_[1]; + return *this; + } + GW_GeodesicVertex* GetNewVertex( GW_GeodesicVertex& BaseVert ) + { + if( &BaseVert == pBaseVert_[0] ) + return pNewVert_[0]; + if( &BaseVert == pBaseVert_[1] ) + return pNewVert_[1]; + return NULL; + } + private: + + GW_GeodesicVertex* pBaseVert_[2]; + GW_GeodesicVertex* pNewVert_[2]; + }; + + typedef std::map T_EdgeCutMap; + + /** record each edge split, with corresponding added vertices */ + T_EdgeCutMap CutEdgeMap_; + + /** record each parameterization */ + T_MeshVector MeshVector_; + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_Parameterization.inl" +#endif + + +#endif // _GW_PARAMETERIZATION_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_Parameterization.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_Parameterization.inl.svn-base new file mode 100644 index 0000000..5c6e5c2 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_Parameterization.inl.svn-base @@ -0,0 +1,322 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Parameterization.inl + * \brief Inlined methods for \c GW_Parameterization + * \author Gabriel Peyré + * \date 7-1-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_Parameterization.h" + +namespace GW { + +GW_INLINE +GW_Float GW_Parameterization::ComputeCenteringEnergy( GW_GeodesicVertex& Vert, GW_GeodesicVertex& StartVert, GW_GeodesicMesh& Mesh ) +{ + /* compute a fast marching and confine it to local voronoi digram */ + pCurVoronoiDiagram_ = &StartVert; + Mesh.RegisterVertexInsersionCallbackFunction( FastMarchingCallbackFunction_Centering ); + GW_VoronoiMesh::ResetOnlyVertexState( Mesh ); + Mesh.PerformFastMarching( &Vert ); + pCurVoronoiDiagram_ = NULL; + Mesh.RegisterVertexInsersionCallbackFunction( NULL ); + + /* march on the voronoi diagram */ + GW_Float rTotalEnergy = 0; + T_FaceList FaceToProceed; + FaceToProceed.push_back( Vert.GetFace() ); + T_FaceMap FaceMap; + FaceMap[ Vert.GetFace()->GetID() ] = Vert.GetFace(); + + while( !FaceToProceed.empty() ) + { + GW_Face* pFace = FaceToProceed.front(); + GW_ASSERT( pFace!=NULL ); + FaceToProceed.pop_front(); + + /* compute contribution, for the moment, simple method. + Todo : use area define by previous voronoi regions. */ + GW_Float rArea = pFace->GetArea(); + GW_Float d[3]; + for( GW_U32 i=0; i<3; ++i ) // retrieve distance + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) pFace->GetVertex(i); + GW_ASSERT( pVert!=NULL ); + d[i] = pVert->GetDistance(); + } + rTotalEnergy += rArea*(d[0]*d[0] + d[1]*d[1] + d[2]*d[2])/3; + + /* add neighbors */ + for( GW_U32 i=0; i<3; ++i ) + { + GW_Face* pNewFace = pFace->GetFaceNeighbor(i); + if( pNewFace!=NULL && FaceMap.find(pNewFace->GetID())==FaceMap.end() ) + { + GW_Bool bAddThisFace = GW_False; + for( GW_U32 nVert=0; nVert<3; ++nVert ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) pNewFace->GetVertex(i); + GW_ASSERT( pVert!=NULL ); + if( pVert->GetFront()==&Vert ) + { + bAddThisFace = GW_True; + break; + } + } + if( bAddThisFace ) + { + FaceToProceed.push_back( pNewFace ); + FaceMap[ pNewFace->GetID() ] = pNewFace; // so that it won't be added anymore + } + } + } + } + + return rTotalEnergy; +} + +GW_INLINE +void GW_Parameterization::CutEdge( GW_GeodesicVertex& Vert1, GW_GeodesicVertex& Vert2, + GW_GeodesicVertex* &pInter_1, GW_GeodesicVertex* &pInter_2, GW_GeodesicMesh& Mesh ) +{ + GW_Float eps = 0.0; + GW_U32 nID = GW_Vertex::ComputeUniqueId( Vert1, Vert2 ); + if( CutEdgeMap_.find(nID)==CutEdgeMap_.end() ) + { + GW_Float lambda; + GW_Vector3D pos; + /* this edge has not been previously cutted : do so ! */ + GW_GeodesicVertex::ComputeFrontIntersection( Vert1, Vert2, &pos, &lambda ); + if( lambda1-eps ) + lambda = 1; + pos = Vert1.GetPosition()*lambda + Vert2.GetPosition()*(1-lambda); + GW_Float rNewDist = Vert1.GetDistance()*lambda + Vert2.GetDistance()*(1-lambda); + GW_Vector3D Normal = Vert1.GetNormal()*lambda + Vert2.GetNormal()*(1-lambda); + Normal.Normalize(); + + GW_Vector3D t1( Vert1.GetTexCoordU(), Vert1.GetTexCoordV(), 0 ); + GW_Vector3D t2( Vert2.GetTexCoordU(), Vert2.GetTexCoordV(), 0 ); + GW_Vector3D tex = t1*lambda + t2*(1-lambda); + + pInter_1 = (GW_GeodesicVertex*) &Mesh.CreateNewVertex(); + Mesh.SetNbrVertex( Mesh.GetNbrVertex()+1 ); + Mesh.SetVertex( Mesh.GetNbrVertex()-1, pInter_1 ); + pInter_1->SetPosition( pos ); + pInter_1->SetDistance( rNewDist ); + pInter_1->SetFront( Vert1.GetFront() ); + pInter_1->SetNormal( Normal ); + pInter_1->SetTexCoords( tex[0],tex[1] ); + + pInter_2 = (GW_GeodesicVertex*) &Mesh.CreateNewVertex(); + Mesh.SetNbrVertex( Mesh.GetNbrVertex()+1 ); + Mesh.SetVertex( Mesh.GetNbrVertex()-1, pInter_2 ); + pInter_2->SetPosition( pos ); + pInter_2->SetDistance( rNewDist ); + pInter_2->SetFront( Vert2.GetFront() ); + pInter_2->SetNormal( Normal ); + pInter_2->SetTexCoords( tex[0],tex[1] ); + + /* save the cut */ + GW_EdgeCut Cut( Vert1, Vert2, *pInter_1, *pInter_2 ); + CutEdgeMap_[nID] = Cut; + } + else + { + /* this edge has already been cut. Use this cut */ + GW_EdgeCut& Cut = CutEdgeMap_[nID]; + pInter_1 = Cut.GetNewVertex( Vert1 ); + pInter_2 = Cut.GetNewVertex( Vert2 ); + } +} + +GW_INLINE +GW_GeodesicFace* CreateNewFace( GW_GeodesicMesh& Mesh, GW_GeodesicVertex* pV1, GW_GeodesicVertex* pV2, GW_GeodesicVertex* pV3 ) +{ + GW_GeodesicFace* pNewFace = (GW_GeodesicFace*) &Mesh.CreateNewFace(); + pNewFace->SetVertex( *pV1, *pV2, *pV3); + Mesh.SetNbrFace( Mesh.GetNbrFace()+1 ); + Mesh.SetFace( Mesh.GetNbrFace()-1, pNewFace ); + return pNewFace; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::CutFace +/** + * \param Face [GW_Face&] The face to cut. + * \param BaseVert [GW_GeodesicVertex&] The origin of the voronoi region we are segmenting. + * \author Gabriel Peyré + * \date 7-1-2003 + * + * Cut a face according to voronoi diagrams. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Parameterization::CutFace( GW_Face& Face, GW_GeodesicVertex& BaseVert, GW_GeodesicMesh& Mesh, T_TrissectorInfoMap* pTrissectorInfoMap ) +{ + GW_Vector3D pos; + + /* for each vertex see if there is a contribution */ + GW_U32 nNumContrib = 0; + GW_U32 nNumOther = 0; + GW_GeodesicVertex* pVertContrib[3] = { NULL, NULL, NULL }; // the vertice contributing + GW_Float d[3] = { -1, -1, -1 }; // the distance + for( GW_U32 i=0; i<3; ++i ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) Face.GetVertex(i); GW_ASSERT( pVert!=NULL ); + if( pVert->GetFront()==&BaseVert ) + { + pVertContrib[nNumContrib] = pVert; + d[nNumContrib] = pVert->GetDistance(); + nNumContrib++; + } + else + { + pVertContrib[2-nNumOther] = pVert; + d[2-nNumOther] = pVert->GetDistance(); + nNumOther++; + } + } + + /* for each special case, Compute the polygon */ + switch(nNumContrib) { + case 1: + { + /* the contributor is pVertContrib[0], and pVertContrib[1] & pVertContrib[2] are not contributing */ + if( pVertContrib[1]->GetFront()==pVertContrib[2]->GetFront() ) + { + /* compute 1st intersection point. See if we can retrieve from neighbors */ + GW_GeodesicVertex* pInter1_1 = NULL; + GW_GeodesicVertex* pInter1_2 = NULL; + this->CutEdge( *pVertContrib[0], *pVertContrib[1], pInter1_1, pInter1_2, Mesh ); + /* compute 2nd intersection point */ + GW_GeodesicVertex* pInter2_1 = NULL; + GW_GeodesicVertex* pInter2_2 = NULL; + this->CutEdge( *pVertContrib[0], *pVertContrib[2], pInter2_1, pInter2_2, Mesh ); + + /* build the faces. For the moment, don't bother with neighbor relations. */ + Face.SetVertex( *pVertContrib[0], *pInter1_1, *pInter2_1 ); + GW_GeodesicFace* pNewFace1 = CreateNewFace( Mesh, pVertContrib[1], pVertContrib[2], pInter1_2 ); + GW_GeodesicFace* pNewFace2 = CreateNewFace( Mesh, pVertContrib[2], pInter2_2, pInter1_2 ); + /* the face belonging of the old vertices can change ! */ + if( pVertContrib[1]->GetFace()==&Face ) + pVertContrib[1]->SetFace( *pNewFace1 ); + if( pVertContrib[2]->GetFace()==&Face ) + pVertContrib[2]->SetFace( *pNewFace2 ); + } + else + { + /* compute 1st intersection point. See if we can retrieve from neighbors */ + GW_GeodesicVertex* pInter1_1 = NULL; + GW_GeodesicVertex* pInter1_2 = NULL; + this->CutEdge( *pVertContrib[0], *pVertContrib[1], pInter1_1, pInter1_2, Mesh ); + /* compute 2nd intersection point */ + GW_GeodesicVertex* pInter2_1 = NULL; + GW_GeodesicVertex* pInter2_2 = NULL; + this->CutEdge( *pVertContrib[0], *pVertContrib[2], pInter2_1, pInter2_2, Mesh ); + /* compute 3nd intersection point */ + GW_GeodesicVertex* pInter3_1 = NULL; + GW_GeodesicVertex* pInter3_2 = NULL; + this->CutEdge( *pVertContrib[1], *pVertContrib[2], pInter3_1, pInter3_2, Mesh ); + + /* compute center vertices */ + GW_Float rNewDist = (pInter1_1->GetDistance()+pInter2_1->GetDistance()+pInter3_1->GetDistance())/3; + GW_Vector3D pos = (pInter1_1->GetPosition()+pInter2_1->GetPosition()+pInter3_1->GetPosition())/3; + GW_Vector3D Normal = (pInter1_1->GetNormal()+pInter2_1->GetNormal()+pInter3_1->GetNormal())/3; + + GW_GeodesicVertex* pCenter1 = (GW_GeodesicVertex*) &Mesh.CreateNewVertex(); + Mesh.SetNbrVertex( Mesh.GetNbrVertex()+1 ); + Mesh.SetVertex( Mesh.GetNbrVertex()-1, pCenter1 ); + pCenter1->SetDistance(rNewDist); + pCenter1->SetPosition(pos); + pCenter1->SetNormal(Normal); + pCenter1->SetFront( pVertContrib[0]->GetFront() ); + + GW_GeodesicVertex* pCenter2 = (GW_GeodesicVertex*) &Mesh.CreateNewVertex(); + Mesh.SetNbrVertex( Mesh.GetNbrVertex()+1 ); + Mesh.SetVertex( Mesh.GetNbrVertex()-1, pCenter2 ); + pCenter2->SetDistance(rNewDist); + pCenter2->SetPosition(pos); + pCenter2->SetNormal(Normal); + pCenter2->SetFront( pVertContrib[1]->GetFront() ); + + GW_GeodesicVertex* pCenter3 = (GW_GeodesicVertex*) &Mesh.CreateNewVertex(); + Mesh.SetNbrVertex( Mesh.GetNbrVertex()+1 ); + Mesh.SetVertex( Mesh.GetNbrVertex()-1, pCenter3 ); + pCenter3->SetDistance(rNewDist); + pCenter3->SetPosition(pos); + pCenter3->SetNormal(Normal); + pCenter3->SetFront( pVertContrib[2]->GetFront() ); + + + /* add trissector information */ + if( pTrissectorInfoMap!=NULL ) + { + GW_TrissectorInfo trisec1(pVertContrib[0]->GetFront()->GetID(), + pVertContrib[1]->GetFront()->GetID(), + pVertContrib[2]->GetFront()->GetID()); + GW_TrissectorInfo trisec2(pVertContrib[1]->GetFront()->GetID(), + pVertContrib[0]->GetFront()->GetID(), + pVertContrib[2]->GetFront()->GetID()); + GW_TrissectorInfo trisec3(pVertContrib[2]->GetFront()->GetID(), + pVertContrib[0]->GetFront()->GetID(), + pVertContrib[1]->GetFront()->GetID()); + (*pTrissectorInfoMap)[pCenter1->GetID()] = trisec1; + (*pTrissectorInfoMap)[pCenter2->GetID()] = trisec2; + (*pTrissectorInfoMap)[pCenter3->GetID()] = trisec3; + } + + /* Build the faces. For the moment, don't bother with neighbor relations. */ + Face.SetVertex( *pVertContrib[0], *pInter1_1, *pCenter1 ); + CreateNewFace( Mesh, pVertContrib[0], pCenter1, pInter2_1 ); + + GW_GeodesicFace* pNewFace1 = CreateNewFace( Mesh, pVertContrib[1], pCenter2, pInter1_2 ); + CreateNewFace( Mesh, pVertContrib[1], pInter3_1, pCenter2 ); + if( pVertContrib[1]->GetFace()==&Face ) + pVertContrib[1]->SetFace( *pNewFace1 ); + + GW_GeodesicFace* pNewFace2 = CreateNewFace( Mesh, pVertContrib[2], pCenter3, pInter3_2 ); + CreateNewFace( Mesh, pVertContrib[2], pInter2_2, pCenter3 ); + if( pVertContrib[2]->GetFace()==&Face ) + pVertContrib[2]->SetFace( *pNewFace2 ); + } + } + break; + case 2: + { + /* compute 1st intersection point. See if we can retrieve from neighbors */ + GW_GeodesicVertex* pInter1_1 = NULL; + GW_GeodesicVertex* pInter1_2 = NULL; + this->CutEdge( *pVertContrib[0], *pVertContrib[2], pInter1_1, pInter1_2, Mesh ); + /* compute 2nd intersection point */ + GW_GeodesicVertex* pInter2_1 = NULL; + GW_GeodesicVertex* pInter2_2 = NULL; + this->CutEdge( *pVertContrib[1], *pVertContrib[2], pInter2_1, pInter2_2, Mesh ); + /* build the faces. For the moment, don't bother with neighbor relations. */ + Face.SetVertex( *pVertContrib[0], *pInter2_1, *pVertContrib[1] ); + CreateNewFace( Mesh, pVertContrib[0], pInter1_1, pInter2_1 ); + GW_GeodesicFace* pNewFace2 = CreateNewFace( Mesh, pInter1_2, pVertContrib[2], pInter2_2 ); + if( pVertContrib[2]->GetFace()==&Face ) + pVertContrib[2]->SetFace( *pNewFace2 ); + } + break; + case 3: + /* no cut should be performed */ + break; + default: + GW_ASSERT(GW_False); + return; + } +} + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation.cpp.svn-base new file mode 100644 index 0000000..3ff3917 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation.cpp.svn-base @@ -0,0 +1 @@ +#error removed \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation.h.svn-base new file mode 100644 index 0000000..3ff3917 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation.h.svn-base @@ -0,0 +1 @@ +#error removed \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation.inl.svn-base new file mode 100644 index 0000000..3ff3917 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation.inl.svn-base @@ -0,0 +1 @@ +#error removed \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_ABC.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_ABC.h.svn-base new file mode 100644 index 0000000..c45c703 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_ABC.h.svn-base @@ -0,0 +1,63 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_ABC.h + * \brief Definition of class \c GW_TriangularInterpolation_ABC + * \author Gabriel Peyré + * \date 5-2-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_TRIANGULARINTERPOLATION_H_ +#define _GW_TRIANGULARINTERPOLATION_H_ + +#include "../gw_core/GW_Config.h" +#include "GW_GeodesicVertex.h" + +namespace GW { + +class GW_GeodesicFace; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_TriangularInterpolation_ABC + * \brief Data structure to interpolate data on a triangle. + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Use a \c GW_GeodesicFace to compute the coefficient of a 2nd + * degree polynom that fit distance function. + */ +/*------------------------------------------------------------------------------*/ + +class GW_TriangularInterpolation_ABC +{ + +public: + + enum T_TriangulationInterpolationType + { + kLinearTriangulationInterpolation, + kQuadraticTriangulationInterpolation, + kCubicTriangulationInterpolation + }; + + virtual void SetUpTriangularInterpolation( GW_GeodesicFace& Face ) = 0; + virtual void ComputeGradient( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Float x, GW_Float y, GW_Float& dx, GW_Float& dy ) = 0; + virtual GW_Float ComputeValue( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Float x, GW_Float y ) = 0; + virtual T_TriangulationInterpolationType GetType() = 0; + +}; + +} // End namespace GW + +#endif // _GW_TRIANGULARINTERPOLATION_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Cubic.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Cubic.cpp.svn-base new file mode 100644 index 0000000..0c56c98 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Cubic.cpp.svn-base @@ -0,0 +1,479 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_Cubic.cpp + * \brief Definition of class \c GW_TriangularInterpolation_Cubic + * \author Gabriel Peyré + * \date 5-2-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_TriangularInterpolation_Cubic.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_TriangularInterpolation_Cubic.h" +#include "GW_GeodesicFace.h" + +#ifndef GW_USE_INLINE + #include "GW_TriangularInterpolation_Cubic.inl" +#endif + +using namespace GW; + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Cubic::SetLocalGradient +/** +* \param grad [GW_Vector3D] The gradient. +* \author Gabriel Peyré +* \date 5-6-2003 +* +* Set the value of the gradient in local coords. +*/ +/*------------------------------------------------------------------------------*/ +void GW_TriangularInterpolation_Cubic::SetLocalGradient( GW_Vector3D& grad, GW_GeodesicFace& Face, GW_GeodesicVertex& Vert ) +{ + this->ComputeLocalBasis( Face ); + GW_I32 nNum = Face.GetEdgeNumber( Vert ); + GW_ASSERT( nNum>=0 ); + LocalGradient_[nNum][0] = grad*u; + LocalGradient_[nNum][1] = grad*v; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Cubic constructor +/** + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_TriangularInterpolation_Cubic::GW_TriangularInterpolation_Cubic() +: bIsLocalBasisComputed_( GW_False ) +{ + /* NOTHING */ +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Cubic destructor +/** + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_TriangularInterpolation_Cubic::~GW_TriangularInterpolation_Cubic() +{ + /* NOTHING */ +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Cubic::SetUpTriangularInterpolation +/** + * \param Face [GW_GeodesicFace&] The face. + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Compute the coefficients of the interpolation. + */ +/*------------------------------------------------------------------------------*/ +void GW_TriangularInterpolation_Cubic::SetUpTriangularInterpolation( GW_GeodesicFace& Face ) +{ + /* retrieve vertex and length */ + GW_GeodesicVertex* pV0 = (GW_GeodesicVertex*) Face.GetVertex(0); GW_ASSERT( pV0!=NULL ); + GW_GeodesicVertex* pV1 = (GW_GeodesicVertex*) Face.GetVertex(1); GW_ASSERT( pV1!=NULL ); + GW_GeodesicVertex* pV2 = (GW_GeodesicVertex*) Face.GetVertex(2); GW_ASSERT( pV2!=NULL ); + + GW_Face* pFace0 = Face.GetFaceNeighbor(0); + GW_Face* pFace1 = Face.GetFaceNeighbor(1); + GW_Face* pFace2 = Face.GetFaceNeighbor(2); + GW_GeodesicVertex *pW0 = NULL, *pW1 = NULL, *pW2 = NULL; + + if( pFace0!=NULL ) + pW0 = (GW_GeodesicVertex*) pFace0->GetVertex( *pV1, *pV2 ); + if( pFace1!=NULL ) + pW1 = (GW_GeodesicVertex*) pFace1->GetVertex( *pV0, *pV2 ); + if( pFace2!=NULL ) + pW2 = (GW_GeodesicVertex*) pFace2->GetVertex( *pV0, *pV1 ); + + GW_Vector3D& V0 = pV0->GetPosition(); + GW_Vector3D& V1 = pV1->GetPosition(); + GW_Vector3D& V2 = pV2->GetPosition(); + GW_Vector3D W0, W1, W2; + + if( pW0!=NULL ) + W0 = pW0->GetPosition(); + else + W0 = (V1+V2)*0.5; + if( pW1!=NULL ) + W1 = pW1->GetPosition(); + else + W1 = (V0+V1)*0.5; + if( pW2!=NULL ) + W2 = pW2->GetPosition(); + else + W2 = (V0+V1)*0.5; + + /* edge of the main triangle */ + GW_Vector3D e0 = V0-V2; + GW_Vector3D e1 = V1-V2; + GW_Vector3D e2 = V1-V0; + /* edge of side triangles */ + GW_Vector3D s0 = W0 - V2; + GW_Vector3D s1 = W1 - V2; + GW_Vector3D s2 = W2 - V0; + + GW_Float l0 = ~e0; + GW_Float l1 = ~e1; + GW_Float l2 = ~e2; + GW_Float m0 = ~s0; + GW_Float m1 = ~s1; + GW_Float m2 = ~s2; + + + /* compute the orthonormal basis in which the interpolation is performed */ + u = e0/l0; + v = ( (u^e1)^u ); + v.Normalize(); + w = V2; // origin + + /* now compute angles */ + GW_Float a = acos( (e0*e1)/(l0*l1) ); + GW_Float b = acos( (e1*s0)/(l1*m0) ); + GW_Float c = acos( (e0*s1)/(l0*m1) ); + GW_Float d = acos(-(e0*e2)/(l0*l2) ); + GW_Float e = acos( (e2*s2)/(l2*m2) ); + + /* compute 2D position of points. + Point 0,1,2 are V0,V1,V2 Points 3,4,5 are W0,W1,W2 */ + GW_Float Points[6][2]; + + Points[0][0] = l0; + Points[0][1] = 0; + + Points[1][0] = l1*cos(a); + Points[1][1] = l1*sin(a); + + Points[2][0] = 0; + Points[2][1] = 0; + + + Points[3][0] = m0*cos(a+b); + Points[3][1] = m0*sin(a+b); + + Points[4][0] = m1*cos(c); + Points[4][1] = -m1*sin(c); + + Points[5][0] = l0 - m2*cos(d+e); + Points[5][1] = m2*sin(d+e); + + /* compute values */ + GW_Float Values[6]; + Values[0] = pV0->GetDistance(); + Values[1] = pV1->GetDistance(); + Values[2] = pV2->GetDistance(); + + if( pW0!=NULL ) + Values[3] = pW0->GetDistance(); + else + Values[3] = (Values[1]+Values[2])*0.5; + + if( pW1!=NULL ) + Values[4] = pW1->GetDistance(); + else + Values[4] = (Values[0]+Values[2])*0.5; + + if( pW2!=NULL ) + Values[5] = pW2->GetDistance(); + else + Values[5] = (Values[0]+Values[1])*0.5; + + /* compute the coefficients, given in that order : 0->cst, 1->X, 2->Y, 3->XY, 4->X^2, 5->Y^2. */ + GW_Maths::Fit2ndOrderPolynomial2D( Points, Values, Coeffs ); + + GW_Float r1 = this->ComputeValue( *pV0, *pV1, *pV2, 0.33, 0.33 ); + GW_Float r2 = this->ComputeValue( *pV0, *pV1, *pV2, 0, 0.5 ); +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Cubic::ComputeGradient +/** + * \param v0 [GW_GeodesicVertex&] 1st vertex of local frame. + * \param v1 [GW_GeodesicVertex&] 2nd vertex. + * \param v2 [GW_GeodesicVertex&] 3rd vertex. + * \param x [GW_Float] x local coord. + * \param y [GW_Float] y local coord. + * \param dx [GW_Float&] x coord of the gradient in local coord. + * \param dy [GW_Float&] y coord of the gradient in local coord. + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Compute the gradient at given point in local frame. + */ +/*------------------------------------------------------------------------------*/ +void GW_TriangularInterpolation_Cubic::ComputeGradient( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, GW_Float x, GW_Float y, GW_Float& dx, GW_Float& dy ) +{ + /* compute local basis */ + GW_Vector3D& e = v2.GetPosition(); // origin + GW_Vector3D e0 = v0.GetPosition() - e; + GW_Vector3D e1 = v1.GetPosition() - e; + + /* compute (s,t) the parameter of the point M in basis (w;u,v). We use equality : + M = w + s u + t v = e + x e0 + y e1 so : + s = x + y + + t = x + y + + i.e. : + |s| | | |x| || + |t| = | |*|y| + || + */ + GW_Vector3D trans = e-w; + /* compute passage matrix */ + GW_Float p00 = e0*u; + GW_Float p01 = e1*u; + GW_Float p10 = e0*v; + GW_Float p11 = e1*v; + GW_Float s = x*p00 + y*p01 + (trans*u); + GW_Float t = x*p10 + y*p11 + (trans*v); + + /* now we can compute the gradient in orthogonal basis (w;u,v) */ + GW_Float gu = Coeffs[1] + Coeffs[3]*t + Coeffs[4]*2*s; + GW_Float gv = Coeffs[2] + Coeffs[3]*s + Coeffs[5]*2*t; + + /* convert from orthogonal basis to local basis : + | | |dx| |gu| + | |*|dy| = |gv| + ie : + |dx| | p11 -p01| |gu| + |dy| = 1/det * |-p10 p00|*|gv| */ + GW_Float rDet = p00*p11 - p01*p10; + GW_ASSERT( rDet!=0 ); + dx = 1/rDet * ( p11*gu - p01*gv ) * ~e0; + dy = 1/rDet * (-p10*gu + p00*gv ) * ~e1; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Cubic::ComputeValue +/** + * \param v0 [GW_GeodesicVertex&] 1st vertex of local frame. + * \param v1 [GW_GeodesicVertex&] 2nd vertex. + * \param v2 [GW_GeodesicVertex&] 3rd vertex. + * \param x [GW_Float] x local coord. + * \param y [GW_Float] y local coord. + * \return value of the distance function. + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Compute the value at a given location in the triangle. + */ +/*------------------------------------------------------------------------------*/ +GW_Float GW_TriangularInterpolation_Cubic::ComputeValue( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, GW_Float x, GW_Float y ) +{ + /* compute local basis */ + GW_Vector3D& e = v2.GetPosition(); // origin + GW_Vector3D e0 = v0.GetPosition() - e; + GW_Vector3D e1 = v1.GetPosition() - e; + + /* compute (s,t) the parameter of the point M in basis (w;u,v). We use equality : + M = w + s u + t v = e + x e0 + y e1 so : + s = x + y + + t = x + y + + i.e. : + |s| | | |x| || + |t| = | |*|y| + || + */ + GW_Vector3D trans = e-w; + /* compute passage matrix */ + GW_Float p00 = e0*u; + GW_Float p01 = e1*u; + GW_Float p10 = e0*v; + GW_Float p11 = e1*v; + GW_Float s = x*p00 + y*p01 + (trans*u); + GW_Float t = x*p10 + y*p11 + (trans*v); + + /* now we can compute the value in orthogonal basis (w;u,v) */ + return Coeffs[0] + Coeffs[1]*s + Coeffs[2]*t + Coeffs[3]*s*t + Coeffs[4]*s*s + Coeffs[5]*t*t; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Cubic::ComputeLocalBasis +/** + * \param Face [GW_GeodesicFace&] The face. + * \author Gabriel Peyré + * \date 5-6-2003 + * + * Compute the local basis of the face. + */ +/*------------------------------------------------------------------------------*/ +void GW_TriangularInterpolation_Cubic::ComputeLocalBasis( GW_GeodesicFace& Face ) +{ + if( !bIsLocalBasisComputed_ ) + { + GW_GeodesicVertex* pV0 = (GW_GeodesicVertex*) Face.GetVertex(0); GW_ASSERT( pV0!=NULL ); + GW_GeodesicVertex* pV1 = (GW_GeodesicVertex*) Face.GetVertex(1); GW_ASSERT( pV1!=NULL ); + GW_GeodesicVertex* pV2 = (GW_GeodesicVertex*) Face.GetVertex(2); GW_ASSERT( pV2!=NULL ); + GW_Vector3D& V0 = pV0->GetPosition(); + GW_Vector3D& V1 = pV1->GetPosition(); + GW_Vector3D& V2 = pV2->GetPosition(); + GW_Vector3D e0 = V0-V2; + GW_Vector3D e1 = V1-V2; + GW_Vector3D e2 = V1-V0; + u = e0/e0.Norm(); + v = ( (u^e1)^u ); + v.Normalize(); + w = V2; + } + bIsLocalBasisComputed_ = GW_True; +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Cubic::ComputeLocalGradient +/** + * \param Vert [GW_GeodesicVertex&] The vertex. + * \author Gabriel Peyré + * \date 5-6-2003 + * + * Compute the gradient using a least square approximation on the edges around. + */ +/*------------------------------------------------------------------------------*/ +void GW_TriangularInterpolation_Cubic::ComputeLocalGradient( GW_GeodesicVertex& Vert ) +{ + /* compute the total angle */ + GW_Vector3D PrevEdge; + GW_Float rTotalAngle = 0; + for( GW_VertexIterator it=Vert.BeginVertexIterator(); it!=Vert.EndVertexIterator(); ++it ) + { + GW_Vertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + if( it==Vert.BeginVertexIterator() ) + { + PrevEdge = pVert->GetPosition() - Vert.GetPosition(); + PrevEdge.Normalize(); + } + else + { + GW_Vector3D NextEdge = pVert->GetPosition() - Vert.GetPosition(); + NextEdge.Normalize(); + rTotalAngle += acos( NextEdge*PrevEdge ); + PrevEdge = NextEdge; + } + } + + /* matrix and RHS for least square minimusation */ + GW_Float M[2][2] = {{0,0},{0,0}}; + GW_Float b[2] = {0,0}; + + GW_Float rCurAngle = 0; + PrevEdge.SetZero(); + for( GW_VertexIterator it=Vert.BeginVertexIterator(); it!=Vert.EndVertexIterator(); ++it ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) *it; + GW_ASSERT( pVert!=NULL ); + + GW_Vector3D Edge = pVert->GetPosition() - Vert.GetPosition(); + GW_Float a = Edge.Norm(); + Edge /= a; + + if( it!=Vert.BeginVertexIterator() ) + { + /* update the angle */ + rCurAngle += acos( Edge*PrevEdge ); + } + + /* directional gradient estimation */ + GW_Float delta = (pVert->GetDistance() - Vert.GetDistance())/a; + /* coordonate of the edge on (u,v) [flatened coords] */ + GW_Float eu = a*cos( rCurAngle/rTotalAngle ); + GW_Float ev = a*sin( rCurAngle/rTotalAngle ); + /* update the matrix */ + M[0][0] += eu*eu; + M[0][1] += eu*ev; + M[1][0] += eu*ev; + M[1][1] += ev*ev; + b[0] += delta*eu; + b[1] += delta*ev; + + PrevEdge = Edge; + } + + /* invert the system */ + GW_Float det = M[0][0]*M[1][1] - M[0][1]*M[1][0]; + GW_ASSERT( det!=0 ); + GW_Float gu = 1/det * ( M[1][1]*b[0] - M[0][1]*b[1] ); + GW_Float gv = 1/det * (-M[1][0]*b[0] + M[0][0]*b[1] ); + + /* set the gradient in local coords for each surrounding face */ + rCurAngle = 0; + for( GW_FaceIterator it = Vert.BeginFaceIterator(); it!=Vert.EndFaceIterator(); ++it ) + { + GW_GeodesicFace* pFace = (GW_GeodesicFace*) *it; + GW_ASSERT( pFace!=NULL ); + GW_Vertex* pVert1 = it.GetLeftVertex(); GW_ASSERT( pVert1!=NULL ); + GW_Vertex* pVert2 = it.GetRightVertex(); GW_ASSERT( pVert1!=NULL ); + GW_Vector3D e1 = pVert1->GetPosition() - Vert.GetPosition(); + GW_Vector3D e2 = pVert2->GetPosition() - Vert.GetPosition(); + GW_Float a1 = e1.Norm(); + GW_Float a2 = e2.Norm(); + e1 /= a1; + e2 /= a2; + GW_Float rInnerAngle = acos( e1*e2 ); + /* flattened position of the two vertex */ + GW_Float p1[2], p2[2]; + p1[0] = cos( rCurAngle ); + p1[1] = sin( rCurAngle ); + p2[0] = cos( rCurAngle+rInnerAngle ); + p2[1] = sin( rCurAngle+rInnerAngle ); + + /* we have grad = gu*u + gv*v + we are searching for grad = g1*p1 + g2*p2, so: + gu = g1* + g2* + gv = g1* + g2* + i.e. + |p1[0] p2[0]| |g1| |gu| + |p1[1] p2[1]|*|g2| = |gv| + */ + det = p1[0]*p2[1]-p1[1]*p2[0]; + GW_ASSERT( det!=0 ); + GW_Float g1 = 1/det * ( p2[1]*gu - p2[0]*gv ); + GW_Float g2 = 1/det * (-p1[1]*gu + p1[0]*gv ); + + /* now compute the gradient in world coords */ + GW_Vector3D LocGrad = e1*g1 + e2*g2; + + GW_TriangularInterpolation_ABC* pInterp = pFace->GetTriangularInterpolation(); + if( pInterp==NULL ) + { + pInterp = new GW_TriangularInterpolation_Cubic; + pFace->SetTriangularInterpolation( *pInterp ); + } + GW_ASSERT( pInterp->GetType()==kCubicTriangulationInterpolation ); + + ((GW_TriangularInterpolation_Cubic*) pInterp)->SetLocalGradient( LocGrad, *pFace, Vert ); + + rCurAngle += rInnerAngle; + } + +} + + + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Cubic.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Cubic.h.svn-base new file mode 100644 index 0000000..57e522c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Cubic.h.svn-base @@ -0,0 +1,86 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_ABC.h + * \brief Definition of class \c GW_TriangularInterpolation_ABC + * \author Gabriel Peyré + * \date 5-2-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_TRIANGULARINTERPOLATIONCUBIC_H_ +#define _GW_TRIANGULARINTERPOLATIONCUBIC_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_VertexIterator.h" +#include "GW_TriangularInterpolation_ABC.h" + +namespace GW { + +class GW_GeodesicFace; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_TriangularInterpolation_ABC + * \brief Data structure to interpolate data on a triangle. + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Use a \c GW_GeodesicFace to compute the coefficient of a 2nd + * degree polynom that fit distance function. + */ +/*------------------------------------------------------------------------------*/ + +class GW_TriangularInterpolation_Cubic: public GW_TriangularInterpolation_ABC +{ + +public: + + GW_TriangularInterpolation_Cubic(); + virtual ~GW_TriangularInterpolation_Cubic(); + + virtual void SetUpTriangularInterpolation( GW_GeodesicFace& Face ); + void ComputeGradient( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Float x, GW_Float y, GW_Float& dx, GW_Float& dy ); + GW_Float ComputeValue( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Float x, GW_Float y ); + + + T_TriangulationInterpolationType GetType() + { return kQuadraticTriangulationInterpolation; } + + + +private: + + static void ComputeLocalGradient( GW_GeodesicVertex& Vert ); + void SetLocalGradient( GW_Vector3D& grad, GW_GeodesicFace& Face, GW_GeodesicVertex& Vert ); + + void ComputeLocalBasis( GW_GeodesicFace& Face ); + + GW_Float Coeffs[9]; + GW_Vector3D u, v; // orthogonal basis axis + GW_Vector3D w; // orthogonal coord system origin + + GW_Bool bIsLocalBasisComputed_; + + GW_Float LocalGradient_[3][2]; + + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_TriangularInterpolation_Cubic.inl" +#endif + + +#endif // _GW_TRIANGULARINTERPOLATIONCUBIC_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Cubic.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Cubic.inl.svn-base new file mode 100644 index 0000000..c606e8e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Cubic.inl.svn-base @@ -0,0 +1,23 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_Cubic.inl + * \brief Inlined methods for \c GW_TriangularInterpolation_Cubic + * \author Gabriel Peyré + * \date 5-2-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_TriangularInterpolation_Cubic.h" + +namespace GW { + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Linear.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Linear.cpp.svn-base new file mode 100644 index 0000000..98dcdcc --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Linear.cpp.svn-base @@ -0,0 +1,99 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_Linear.cpp + * \brief Definition of class \c GW_TriangularInterpolation_Linear + * \author Gabriel Peyré + * \date 5-5-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_TriangularInterpolation_Linear.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_TriangularInterpolation_Linear.h" + +#ifndef GW_USE_INLINE + #include "GW_TriangularInterpolation_Linear.inl" +#endif + +using namespace GW; + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Linear::ComputeGradient +/** +* \param v0 [GW_GeodesicVertex&] 1st vertex of local frame. +* \param v1 [GW_GeodesicVertex&] 2nd vertex. +* \param v2 [GW_GeodesicVertex&] 3rd vertex. +* \param x [GW_Float] x local coord. +* \param y [GW_Float] y local coord. +* \param dx [GW_Float&] x coord of the gradient in local coord. +* \param dy [GW_Float&] y coord of the gradient in local coord. +* \author Gabriel Peyré +* \date 5-2-2003 +* +* Compute the gradient at given point in local frame. +*/ +/*------------------------------------------------------------------------------*/ +void GW_TriangularInterpolation_Linear::ComputeGradient( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, GW_Float x, GW_Float y, GW_Float& dx, GW_Float& dy ) +{ + GW_Float d0 = v0.GetDistance(); + GW_Float d1 = v1.GetDistance(); + GW_Float d2 = v2.GetDistance(); + + /* compute gradient */ + GW_Vector3D e0 = v0.GetPosition() - v2.GetPosition(); + GW_Vector3D e1 = v1.GetPosition() - v2.GetPosition(); + GW_Float l0 = e0.Norm(); + GW_Float l1 = e1.Norm(); + e0 /= l0; + e1 /= l1; + GW_Float dot = e0*e1; + /* The gradient in direction (e1,e2) is: + || |(d0-d2)/l0| |gu| + D = || = |(d1-d2)/l1| = |gv| + We are searching for grad(d) = dx e0 + dy e1 wich gives rise to the system : + | 1 dot| |dx| + |dot 1 | * |dy| = D where dot= + ie it is: + 1/det * | 1 -dot|*|gu| + |-dot 1 | |gv| + */ + GW_Float det = 1-dot*dot; + GW_ASSERT( det!=0 ); + GW_Float gu = (d0-d2)/l0; + GW_Float gv = (d1-d2)/l1; + dx = 1/det * ( gu - dot*gv ); + dy = 1/det * (-dot*gu + gv ); +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Linear::ComputeValue +/** +* \param v0 [GW_GeodesicVertex&] 1st vertex of local frame. +* \param v1 [GW_GeodesicVertex&] 2nd vertex. +* \param v2 [GW_GeodesicVertex&] 3rd vertex. +* \param x [GW_Float] x local coord. +* \param y [GW_Float] y local coord. +* \return value of the distance function. +* \author Gabriel Peyré +* \date 5-2-2003 +* +* Compute the value at a given location in the triangle. +*/ +/*------------------------------------------------------------------------------*/ +GW_Float GW_TriangularInterpolation_Linear::ComputeValue( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, GW_Float x, GW_Float y ) +{ + return v0.GetDistance()*x + v1.GetDistance()*y + v2.GetDistance()*(1-x-y); +} + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Linear.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Linear.h.svn-base new file mode 100644 index 0000000..a949a59 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Linear.h.svn-base @@ -0,0 +1,63 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_Linear.h + * \brief Definition of class \c GW_TriangularInterpolation_Linear + * \author Gabriel Peyré + * \date 5-5-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_TRIANGULARINTERPOLATION_LINEAR_H_ +#define _GW_TRIANGULARINTERPOLATION_LINEAR_H_ + +#include "../gw_core/GW_Config.h" +#include "GW_TriangularInterpolation_ABC.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_TriangularInterpolation_Linear + * \brief Perform linear interpolation + * \author Gabriel Peyré + * \date 5-5-2003 + * + * No data is stored in this class. + */ +/*------------------------------------------------------------------------------*/ + +class GW_TriangularInterpolation_Linear: public GW_TriangularInterpolation_ABC +{ + +public: + + virtual void SetUpTriangularInterpolation( GW_GeodesicFace& Face ) {}; + void ComputeGradient( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Float x, GW_Float y, GW_Float& dx, GW_Float& dy ); + GW_Float ComputeValue( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Float x, GW_Float y ); + + + T_TriangulationInterpolationType GetType() + { return kLinearTriangulationInterpolation; } + +private: + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_TriangularInterpolation_Linear.inl" +#endif + + +#endif // _GW_TRIANGULARINTERPOLATION_LINEAR_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Linear.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Linear.inl.svn-base new file mode 100644 index 0000000..c6b3a8f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Linear.inl.svn-base @@ -0,0 +1,23 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_Linear.inl + * \brief Inlined methods for \c GW_TriangularInterpolation_Linear + * \author Gabriel Peyré + * \date 5-5-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_TriangularInterpolation_Linear.h" + +namespace GW { + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Quadratic.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Quadratic.cpp.svn-base new file mode 100644 index 0000000..1f37f88 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Quadratic.cpp.svn-base @@ -0,0 +1,300 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_Quadratic.cpp + * \brief Definition of class \c GW_TriangularInterpolation_Quadratic + * \author Gabriel Peyré + * \date 5-2-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_TriangularInterpolation_Quadratic.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_TriangularInterpolation_Quadratic.h" +#include "GW_GeodesicFace.h" + +#ifndef GW_USE_INLINE + #include "GW_TriangularInterpolation_Quadratic.inl" +#endif + +using namespace GW; + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Quadratic constructor +/** + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_TriangularInterpolation_Quadratic::GW_TriangularInterpolation_Quadratic() +{ + /* NOTHING */ +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Quadratic destructor +/** + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_TriangularInterpolation_Quadratic::~GW_TriangularInterpolation_Quadratic() +{ + /* NOTHING */ +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Quadratic::SetUpTriangularInterpolation +/** + * \param Face [GW_GeodesicFace&] The face. + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Compute the coefficients of the interpolation. + */ +/*------------------------------------------------------------------------------*/ +void GW_TriangularInterpolation_Quadratic::SetUpTriangularInterpolation( GW_GeodesicFace& Face ) +{ + /* retrieve vertex and length */ + GW_GeodesicVertex* pV0 = (GW_GeodesicVertex*) Face.GetVertex(0); GW_ASSERT( pV0!=NULL ); + GW_GeodesicVertex* pV1 = (GW_GeodesicVertex*) Face.GetVertex(1); GW_ASSERT( pV1!=NULL ); + GW_GeodesicVertex* pV2 = (GW_GeodesicVertex*) Face.GetVertex(2); GW_ASSERT( pV2!=NULL ); + + GW_Face* pFace0 = Face.GetFaceNeighbor(0); + GW_Face* pFace1 = Face.GetFaceNeighbor(1); + GW_Face* pFace2 = Face.GetFaceNeighbor(2); + GW_GeodesicVertex *pW0 = NULL, *pW1 = NULL, *pW2 = NULL; + + if( pFace0!=NULL ) + pW0 = (GW_GeodesicVertex*) pFace0->GetVertex( *pV1, *pV2 ); + if( pFace1!=NULL ) + pW1 = (GW_GeodesicVertex*) pFace1->GetVertex( *pV0, *pV2 ); + if( pFace2!=NULL ) + pW2 = (GW_GeodesicVertex*) pFace2->GetVertex( *pV0, *pV1 ); + + GW_Vector3D V0 = pV0->GetPosition(); + GW_Vector3D V1 = pV1->GetPosition(); + GW_Vector3D V2 = pV2->GetPosition(); + GW_Vector3D W0, W1, W2; + + if( pW0!=NULL ) + W0 = pW0->GetPosition(); + else + W0 = (V1+V2)*0.5; + if( pW1!=NULL ) + W1 = pW1->GetPosition(); + else + W1 = (V0+V1)*0.5; + if( pW2!=NULL ) + W2 = pW2->GetPosition(); + else + W2 = (V0+V1)*0.5; + + /* edge of the main triangle */ + GW_Vector3D e0 = V0-V2; + GW_Vector3D e1 = V1-V2; + GW_Vector3D e2 = V1-V0; + /* edge of side triangles */ + GW_Vector3D s0 = W0 - V2; + GW_Vector3D s1 = W1 - V2; + GW_Vector3D s2 = W2 - V0; + + GW_Float l0 = ~e0; + GW_Float l1 = ~e1; + GW_Float l2 = ~e2; + GW_Float m0 = ~s0; + GW_Float m1 = ~s1; + GW_Float m2 = ~s2; + + + /* compute the orthonormal basis in which the interpolation is performed */ + u = e0/l0; + v = ( (u^e1)^u ); + v.Normalize(); + w = V2; // origin + + /* now compute angles */ + GW_Float a = acos( (e0*e1)/(l0*l1) ); + GW_Float b = acos( (e1*s0)/(l1*m0) ); + GW_Float c = acos( (e0*s1)/(l0*m1) ); + GW_Float d = acos(-(e0*e2)/(l0*l2) ); + GW_Float e = acos( (e2*s2)/(l2*m2) ); + + /* compute 2D position of points. + Point 0,1,2 are V0,V1,V2 Points 3,4,5 are W0,W1,W2 */ + GW_Float Points[6][2]; + + Points[0][0] = l0; + Points[0][1] = 0; + + Points[1][0] = l1*cos(a); + Points[1][1] = l1*sin(a); + + Points[2][0] = 0; + Points[2][1] = 0; + + + Points[3][0] = m0*cos(a+b); + Points[3][1] = m0*sin(a+b); + + Points[4][0] = m1*cos(c); + Points[4][1] = -m1*sin(c); + + Points[5][0] = l0 - m2*cos(d+e); + Points[5][1] = m2*sin(d+e); + + /* compute values */ + GW_Float Values[6]; + Values[0] = pV0->GetDistance(); + Values[1] = pV1->GetDistance(); + Values[2] = pV2->GetDistance(); + + if( pW0!=NULL ) + Values[3] = pW0->GetDistance(); + else + Values[3] = (Values[1]+Values[2])*0.5; + + if( pW1!=NULL ) + Values[4] = pW1->GetDistance(); + else + Values[4] = (Values[0]+Values[2])*0.5; + + if( pW2!=NULL ) + Values[5] = pW2->GetDistance(); + else + Values[5] = (Values[0]+Values[1])*0.5; + + /* compute the coefficients, given in that order : 0->cst, 1->X, 2->Y, 3->XY, 4->X^2, 5->Y^2. */ + GW_Maths::Fit2ndOrderPolynomial2D( Points, Values, Coeffs ); + + GW_Float r1 = this->ComputeValue( *pV0, *pV1, *pV2, 0.33, 0.33 ); + GW_Float r2 = this->ComputeValue( *pV0, *pV1, *pV2, 0, 0.5 ); +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Quadratic::ComputeGradient +/** + * \param v0 [GW_GeodesicVertex&] 1st vertex of local frame. + * \param v1 [GW_GeodesicVertex&] 2nd vertex. + * \param v2 [GW_GeodesicVertex&] 3rd vertex. + * \param x [GW_Float] x local coord. + * \param y [GW_Float] y local coord. + * \param dx [GW_Float&] x coord of the gradient in local coord. + * \param dy [GW_Float&] y coord of the gradient in local coord. + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Compute the gradient at given point in local frame. + */ +/*------------------------------------------------------------------------------*/ +void GW_TriangularInterpolation_Quadratic::ComputeGradient( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, GW_Float x, GW_Float y, GW_Float& dx, GW_Float& dy ) +{ + /* compute local basis */ + GW_Vector3D& e = v2.GetPosition(); // origin + GW_Vector3D e0 = v0.GetPosition() - e; + GW_Vector3D e1 = v1.GetPosition() - e; + + /* compute (s,t) the parameter of the point M in basis (w;u,v). We use equality : + M = w + s u + t v = e + x e0 + y e1 so : + s = x + y + + t = x + y + + i.e. : + |s| | | |x| || + |t| = | |*|y| + || + */ + GW_Vector3D trans = e-w; + /* compute passage matrix */ + GW_Float p00 = e0*u; + GW_Float p01 = e1*u; + GW_Float p10 = e0*v; + GW_Float p11 = e1*v; + GW_Float s = x*p00 + y*p01 + (trans*u); + GW_Float t = x*p10 + y*p11 + (trans*v); + + /* now we can compute the gradient in orthogonal basis (w;u,v) */ + GW_Float gu = Coeffs[1] + Coeffs[3]*t + Coeffs[4]*2*s; + GW_Float gv = Coeffs[2] + Coeffs[3]*s + Coeffs[5]*2*t; + + /* convert from orthogonal basis to local basis : + | | |dx| |gu| + | |*|dy| = |gv| + ie : + |dx| | p11 -p01| |gu| + |dy| = 1/det * |-p10 p00|*|gv| */ + GW_Float rDet = p00*p11 - p01*p10; + GW_ASSERT( rDet!=0 ); + if( GW_ABS(rDet)>GW_EPSILON ) + { + dx = 1/rDet * ( p11*gu - p01*gv ) * ~e0; + dy = 1/rDet * (-p10*gu + p00*gv ) * ~e1; + } + else + dx = dy = 0; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Quadratic::ComputeValue +/** + * \param v0 [GW_GeodesicVertex&] 1st vertex of local frame. + * \param v1 [GW_GeodesicVertex&] 2nd vertex. + * \param v2 [GW_GeodesicVertex&] 3rd vertex. + * \param x [GW_Float] x local coord. + * \param y [GW_Float] y local coord. + * \return value of the distance function. + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Compute the value at a given location in the triangle. + */ +/*------------------------------------------------------------------------------*/ +GW_Float GW_TriangularInterpolation_Quadratic::ComputeValue( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, GW_Float x, GW_Float y ) +{ + /* compute local basis */ + GW_Vector3D& e = v2.GetPosition(); // origin + GW_Vector3D e0 = v0.GetPosition() - e; + GW_Vector3D e1 = v1.GetPosition() - e; + + /* compute (s,t) the parameter of the point M in basis (w;u,v). We use equality : + M = w + s u + t v = e + x e0 + y e1 so : + s = x + y + + t = x + y + + i.e. : + |s| | | |x| || + |t| = | |*|y| + || + */ + GW_Vector3D trans = e-w; + /* compute passage matrix */ + GW_Float p00 = e0*u; + GW_Float p01 = e1*u; + GW_Float p10 = e0*v; + GW_Float p11 = e1*v; + GW_Float s = x*p00 + y*p01 + (trans*u); + GW_Float t = x*p10 + y*p11 + (trans*v); + + /* now we can compute the value in orthogonal basis (w;u,v) */ + return Coeffs[0] + Coeffs[1]*s + Coeffs[2]*t + Coeffs[3]*s*t + Coeffs[4]*s*s + Coeffs[5]*t*t; +} + + + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Quadratic.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Quadratic.h.svn-base new file mode 100644 index 0000000..c83c780 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Quadratic.h.svn-base @@ -0,0 +1,74 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_ABC.h + * \brief Definition of class \c GW_TriangularInterpolation_ABC + * \author Gabriel Peyré + * \date 5-2-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_TRIANGULARINTERPOLATIONQUADRATIC_H_ +#define _GW_TRIANGULARINTERPOLATIONQUADRATIC_H_ + +#include "../gw_core/GW_Config.h" +#include "GW_TriangularInterpolation_ABC.h" + +namespace GW { + +class GW_GeodesicFace; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_TriangularInterpolation_ABC + * \brief Data structure to interpolate data on a triangle. + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Use a \c GW_GeodesicFace to compute the coefficient of a 2nd + * degree polynom that fit distance function. + */ +/*------------------------------------------------------------------------------*/ + +class GW_TriangularInterpolation_Quadratic: public GW_TriangularInterpolation_ABC +{ + +public: + + GW_TriangularInterpolation_Quadratic(); + virtual ~GW_TriangularInterpolation_Quadratic(); + + virtual void SetUpTriangularInterpolation( GW_GeodesicFace& Face ); + void ComputeGradient( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Float x, GW_Float y, GW_Float& dx, GW_Float& dy ); + GW_Float ComputeValue( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Float x, GW_Float y ); + + + T_TriangulationInterpolationType GetType() + { return kQuadraticTriangulationInterpolation; } + + +private: + + GW_Float Coeffs[6]; + GW_Vector3D u,v; // orthogonal basis axis + GW_Vector3D w; // orthogonal coord system origin + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_TriangularInterpolation_Quadratic.inl" +#endif + + +#endif // _GW_TRIANGULARINTERPOLATIONQUADRATIC_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Quadratic.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Quadratic.inl.svn-base new file mode 100644 index 0000000..fee07d5 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_TriangularInterpolation_Quadratic.inl.svn-base @@ -0,0 +1,23 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_Quadratic.inl + * \brief Inlined methods for \c GW_TriangularInterpolation_Quadratic + * \author Gabriel Peyré + * \date 5-2-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_TriangularInterpolation_Quadratic.h" + +namespace GW { + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_VoronoiMesh.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_VoronoiMesh.cpp.svn-base new file mode 100644 index 0000000..6875ca5 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_VoronoiMesh.cpp.svn-base @@ -0,0 +1,1369 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VoronoiMesh.cpp + * \brief Definition of class \c GW_VoronoiMesh + * \author Gabriel Peyré + * \date 4-12-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_VoronoiMesh.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_VoronoiMesh.h" + +#ifndef GW_USE_INLINE + #include "GW_VoronoiMesh.inl" +#endif + +using namespace GW; + +T_VoronoiVertexList GW_VoronoiMesh::CurrentTargetVertex_; +GW_VoronoiVertex* GW_VoronoiMesh::pCurrentVoronoiVertex_ = NULL; +T_VoronoiVertexMap GW_VoronoiMesh::VoronoiVertexMap_; +T_VertexPathMultiMap GW_VoronoiMesh::BoundaryEdgeMap_; + +GW_U32 GW_VoronoiMesh::nNbrBaseVertex_RD_ = 0; +T_FloatMap* GW_VoronoiMesh::pCurWeights_ = NULL; + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::PerformFastMarching +/** + * \param Mesh [GW_GeodesicMesh&] The mesh. + * \author Gabriel Peyré + * \date 4-13-2003 + * + * Just an helper method that launch a fire from each base point. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::PerformFastMarching( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList ) +{ + /* add the points as starting points */ + Mesh.ResetGeodesicMesh(); + for( IT_GeodesicVertexList it = VertList.begin(); it!=VertList.end(); ++it ) + { + GW_GeodesicVertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + Mesh.AddStartVertex( *pVert ); + } + /* perform a firestart */ + Mesh.PerformFastMarching(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersion +/** + * \param CurVert [GW_GeodesicVertex&] The current vertex. + * \param rNewDist [GW_Float] The new distance. + * \return [GW_Bool] Insert this vertex to active list ? + * \author Gabriel Peyré + * \date 5-13-2003 + * + * Add the vertex only if the distance decreases. + */ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersion( GW_GeodesicVertex& CurVert, GW_Float rNewDist ) +{ + return CurVert.GetDistance() > rNewDist; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::AddFurthestPoint +/** +* \param Mesh [GW_GeodesicMesh&] Fine mesh. +* \author Gabriel Peyré +* \date 4-14-2003 +* +* Add to the list of point the furthest from all nodes. +*/ +/*------------------------------------------------------------------------------*/ +GW_U32 GW_VoronoiMesh::AddFurthestPoint( T_GeodesicVertexList& VertList,GW_GeodesicMesh& Mesh, GW_Bool bUseRandomStartVertex ) +{ + if( VertList.empty() ) + { + Mesh.ResetGeodesicMesh(); + /* choose 1 point at random */ + GW_GeodesicVertex* pStartVertex = (GW_GeodesicVertex*) Mesh.GetRandomVertex(); + GW_ASSERT( pStartVertex!=NULL ); + if( pStartVertex==NULL ) + return 0; + VertList.push_back( pStartVertex ); + if( !bUseRandomStartVertex ) + { + /* find furthest point from this one */ + GW_VoronoiMesh::PerformFastMarching( Mesh, VertList ); + GW_GeodesicVertex* pSelectedVert = GW_VoronoiMesh::FindMaxVertex( Mesh ); + GW_ASSERT( pSelectedVert!=NULL ); + VertList.push_back( pSelectedVert ); + VertList.pop_front(); // remove random choosen vertex + Mesh.ResetGeodesicMesh(); + } + } + else + { + Mesh.RegisterVertexInsersionCallbackFunction( GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersion ); + + /* perform marching */ + GW_VoronoiMesh::ResetOnlyVertexState( Mesh ); + GW_GeodesicVertex* pStartVert = VertList.back(); + GW_ASSERT( pStartVert!=NULL ); + Mesh.PerformFastMarching( pStartVert ); + + /* find intersection points */ + GW_GeodesicVertex* pSelectedVert = GW_VoronoiMesh::FindMaxVertex( Mesh ); + GW_ASSERT( pSelectedVert!=NULL ); + /* find the triangle where the maximum occurs */ +#if 0 + GW_Face* pMaxFace = GW_VoronoiMesh::FindMaxFace( *pSelectedVert ); + GW_ASSERT( pMaxFace!=NULL ); + /* this is a critical point */ + GW_Float x=1.0f/3, y=1.0f/3, z=1.0f/3; + GW_GeodesicVertex* pNewVert = (GW_GeodesicVertex*) Mesh.InsertVertexInFace( *pMaxFace, x,y,z ); + pNewVert->SetFront( pSelectedVert->GetFront() ); + pNewVert->SetDistance( pSelectedVert->GetDistance() ); +#else + GW_GeodesicVertex* pNewVert = pSelectedVert; +#endif + /* compute the real point */ + VertList.push_back( pNewVert ); + + Mesh.RegisterVertexInsersionCallbackFunction( NULL ); + } + + return 1; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::FindMaxVertex +/** + * \param Mesh [GW_GeodesicMesh&] The mesh. + * \return [GW_GeodesicVertex*] The max distance vertex. + * \author Gabriel Peyré + * \date 5-14-2003 + * + * Find the vertex with maximum distance. + */ +/*------------------------------------------------------------------------------*/ +GW_GeodesicVertex* GW_VoronoiMesh::FindMaxVertex( GW_GeodesicMesh& Mesh ) +{ + GW_GeodesicVertex* pSelectedVert = NULL; + GW_Float rMaxDist = -GW_INFINITE; + for( GW_U32 i=0; iGetFace()!=NULL && pVert->GetDistance()>rMaxDist ) + { + rMaxDist = pVert->GetDistance(); + pSelectedVert = pVert; + } + } + return pSelectedVert; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::FindMaxFace +/** + * \param Vert [GW_GeodesicVertex&] The current vertex. + * \return [GW_Face*] The face. + * \author Gabriel Peyré + * \date 4-15-2003 + * + * Find the face of maximum distance. + */ +/*------------------------------------------------------------------------------*/ +GW_Face* GW_VoronoiMesh::FindMaxFace( GW_GeodesicVertex& Vert ) +{ + GW_Float rBestDistance = -GW_INFINITE; + GW_Face* pCurFace_ = NULL; + for( GW_VertexIterator it = Vert.BeginVertexIterator(); it!=Vert.EndVertexIterator(); ++it ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) *it; + if( pVert->GetDistance()>rBestDistance ) + { + rBestDistance = pVert->GetDistance(); + GW_GeodesicVertex* pVert1 = (GW_GeodesicVertex*) it.GetLeftVertex(); + GW_GeodesicVertex* pVert2 = (GW_GeodesicVertex*) it.GetRightVertex(); + if( pVert1!=NULL && pVert2!=NULL ) + { + if( pVert1->GetDistance()GetDistance() ) + pCurFace_ = it.GetLeftFace(); + else + pCurFace_ = it.GetRightFace(); + } + else if( pVert1!=NULL ) + { + pCurFace_ = it.GetLeftFace(); + } + else + { + GW_ASSERT( pVert2!=NULL ); + pCurFace_ = it.GetRightFace(); + } + } + } + return pCurFace_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::AddFurthestPointsIterate +/** + * \param Mesh [GW_GeodesicMesh&] The mesh. + * \param nNbrIterations [GW_U32] Number of points. + * \author Gabriel Peyré + * \date 4-14-2003 + * + * Add a given number of furthest points. + */ +/*------------------------------------------------------------------------------*/ +GW_U32 GW_VoronoiMesh::AddFurthestPointsIterate( T_GeodesicVertexList& VertList,GW_GeodesicMesh& Mesh, GW_U32 nNbrIterations, GW_Bool bUseRandomStartVertex, GW_Bool bUseProgressBar ) +{ + GW_U32 nNbrPoints = 0; + GW_ProgressBar pb; + if( bUseProgressBar ) + pb.Begin(); + for( GW_U32 i=0; iGetFront(); + if( pNeighborFront!=NULL && pNeighborFront!=pFront ) + { + /* that's it ! */ + GW_VoronoiVertex* pVoronoiVert1 = GW_VoronoiMesh::GetVoronoiFromGeodesic( *pNeighborFront ); + GW_ASSERT( pVoronoiVert1!=NULL ); + if( !pVoronoiVert0->IsNeighbor(*pVoronoiVert1) ) + { + GW_ASSERT( ! pVoronoiVert1->IsNeighbor(*pVoronoiVert0) ); + /* test for manifold structure for the future edge */ + GW_U32 nNumTriangle = 0; + for( IT_VoronoiVertexList itVoronoi=pVoronoiVert1->BeginNeighborIterator(); itVoronoi!=pVoronoiVert1->EndNeighborIterator(); ++itVoronoi ) + { + GW_VoronoiVertex* pVoronoiVert2 = *itVoronoi; + GW_ASSERT( pVoronoiVert2!=NULL ); + if( pVoronoiVert2!=pVoronoiVert0 && pVoronoiVert0->IsNeighbor(*pVoronoiVert2) ) + nNumTriangle++; + } + if( nNumTriangle<=2 ) + { + pVoronoiVert0->AddNeighbor( *pVoronoiVert1 ); + pVoronoiVert1->AddNeighbor( *pVoronoiVert0 ); + } + /* test for manifold structure on the newly created edges */ + for( IT_VoronoiVertexList itVoronoi=pVoronoiVert1->BeginNeighborIterator(); itVoronoi!=pVoronoiVert1->EndNeighborIterator(); ++itVoronoi ) + { + GW_VoronoiVertex* pVoronoiVert2 = *itVoronoi; + GW_ASSERT( pVoronoiVert2!=NULL ); + if( pVoronoiVert2!=pVoronoiVert0 && pVoronoiVert0->IsNeighbor(*pVoronoiVert2) ) + { + /* we are on a newly created face : test for structure integrity */ + if( !GW_VoronoiMesh::TestManifoldStructure(*pVoronoiVert0, *pVoronoiVert2) ) + { + pVoronoiVert0->RemoveNeighbor( *pVoronoiVert1 ); + pVoronoiVert1->RemoveNeighbor( *pVoronoiVert0 ); + break; + } + if( !GW_VoronoiMesh::TestManifoldStructure(*pVoronoiVert1, *pVoronoiVert2) ) + { + pVoronoiVert0->RemoveNeighbor( *pVoronoiVert1 ); + pVoronoiVert1->RemoveNeighbor( *pVoronoiVert0 ); + break; + } + } + } + } + else + { + /* the graph must be undirected */ + GW_ASSERT( pVoronoiVert1->IsNeighbor(*pVoronoiVert0) ); + } + } + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::TestManifoldStructure +/** + * \param Vert0 [GW_VoronoiVertex&] 1st vertex. + * \param Vert1 [GW_VoronoiVertex&] 2nd vertex. + * \return [GW_Bool] Answer. + * \author Gabriel Peyré + * \date 5-15-2003 + * + * Test if the edge has only 2 neighbors. + */ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_VoronoiMesh::TestManifoldStructure( GW_VoronoiVertex& Vert0, GW_VoronoiVertex& Vert1 ) +{ + GW_U32 nNumTriangle = 0; + for( IT_VoronoiVertexList itVoronoi=Vert1.BeginNeighborIterator(); itVoronoi!=Vert1.EndNeighborIterator(); ++itVoronoi ) + { + GW_VoronoiVertex* pVoronoiVert2 = *itVoronoi; + GW_ASSERT( pVoronoiVert2!=NULL ); + if( pVoronoiVert2!=&Vert0 && Vert0.IsNeighbor(*pVoronoiVert2) ) + nNumTriangle++; + } + return nNumTriangle<=2; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::CreateVoronoiVertex +/** + * \author Gabriel Peyré + * \date 6-1-2003 + * + * Just create the voronoi vertex. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::CreateVoronoiVertex() +{ + /* Create Vornoi vertex and make the inverse map GeodesicVertex->VoronoiVertex */ + this->SetNbrVertex( (GW_U32) BaseVertexList_.size() ); + GW_U32 nNum = 0; + for( IT_GeodesicVertexList it = BaseVertexList_.begin(); it!=BaseVertexList_.end(); ++it ) + { + GW_GeodesicVertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + /* create a new voronoi vertex */ + GW_VoronoiVertex* pVornoiVert = new GW_VoronoiVertex; + pVornoiVert->SetBaseVertex( *pVert ); + this->SetVertex( nNum, pVornoiVert ); + nNum++; + /* build the inverse map */ + GW_ASSERT( VoronoiVertexMap_.find( pVert->GetID() )==VoronoiVertexMap_.end() ); + VoronoiVertexMap_[ pVert->GetID() ] = pVornoiVert; + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::BuildMesh +/** + * \param Mesh [GW_Mesh&] The mesh that will be build. + * \author Gabriel Peyré + * \date 4-13-2003 + * + * Build a mesh from scratch. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::BuildMesh( GW_GeodesicMesh& Mesh, GW_Bool bFixHole ) +{ + /* Create Vornoi vertex and make the inverse map GeodesicVertex->VoronoiVertex */ + this->CreateVoronoiVertex(); + +#if 1 // simple method + + GW_OutputComment("Recomputing the whole Voronoi diagram."); + GW_VoronoiMesh::PerformFastMarching( Mesh, BaseVertexList_ ); + + /* find the faces */ + GW_OutputComment("Building the faces."); + T_FaceMap FaceMap; // to store the faces already built. + for( GW_U32 i=0; iGetVertex(j); GW_ASSERT( pGeo[j]!=NULL ); + pFront[j] = pGeo[j]->GetFront(); + } + if( pFront[0]!=pFront[1] && pFront[1]!=pFront[2] && pFront[2]!=pFront[0] ) + { + GW_U32 nID = GW_Vertex::ComputeUniqueId( *pFront[0], *pFront[1], *pFront[2] ); + if( FaceMap.find(nID)==FaceMap.end() ) + { + /* create the face */ + GW_Face& Face = this->CreateNewFace(); + FaceMap[nID] = &Face; + for( GW_U32 j=0; j<3; ++j ) // assign the vertices + { + GW_U32 nID = pFront[j]->GetID(); + GW_ASSERT( VoronoiVertexMap_.find(nID)!=VoronoiVertexMap_.end() ); + GW_VoronoiVertex* pVorVert = VoronoiVertexMap_[nID]; GW_ASSERT( pVorVert!=NULL ); + Face.SetVertex( *pVorVert, j ); + } + } + } + } + +#else + + GW_OutputComment("Computing voronoi diagrams."); + /* perform once more a firestart to set up connectivity */ + Mesh.RegisterNewDeadVertexCallbackFunction( GW_VoronoiMesh::FastMarchingCallbackFunction_MeshBuilding ); + Mesh.ResetGeodesicMesh(); + GW_VoronoiMesh::PerformFastMarching( Mesh, BaseVertexList_ ); + Mesh.RegisterNewDeadVertexCallbackFunction( NULL ); + + /* build the faces */ + T_FaceMap FaceMap; // to store the faces already built. + + GW_OutputComment("Building voronoi mesh faces."); + for( IT_GeodesicVertexList it = BaseVertexList_.begin(); it!=BaseVertexList_.end(); ++it ) + { + GW_GeodesicVertex* pVert0 = *it; + GW_ASSERT( pVert0!=NULL ); + /* retrive the corresponding voronoi vertex */ + GW_VoronoiVertex* pVoronoiVert0 = GW_VoronoiMesh::GetVoronoiFromGeodesic( *pVert0 ); + GW_ASSERT( pVoronoiVert0!=NULL ); + for( IT_VoronoiVertexList itVoronoi1=pVoronoiVert0->BeginNeighborIterator(); itVoronoi1!=pVoronoiVert0->EndNeighborIterator(); ++itVoronoi1 ) + { + GW_VoronoiVertex* pVoronoiVert1 = *itVoronoi1; + GW_ASSERT( pVoronoiVert1!=NULL ); + GW_U32 nNumTriangle = 0; + for( IT_VoronoiVertexList itVoronoi2=pVoronoiVert1->BeginNeighborIterator(); itVoronoi2!=pVoronoiVert1->EndNeighborIterator(); ++itVoronoi2 ) + { + GW_VoronoiVertex* pVoronoiVert2 = *itVoronoi2; + GW_ASSERT( pVoronoiVert2!=NULL ); + if( pVoronoiVert2!=pVoronoiVert0 && pVoronoiVert0->IsNeighbor(*pVoronoiVert2) ) + { + /* yes, we find a triangle ! Test if it wasn't already constructed */ + GW_U32 nUniqueId = GW_Vertex::ComputeUniqueId( *pVoronoiVert0, *pVoronoiVert1, *pVoronoiVert2 ); + if( FaceMap.find(nUniqueId)==FaceMap.end() ) + { + nNumTriangle++; + GW_ASSERT( nNumTriangle<=2 ); // assert manifold structure + /* this is the 1st time we encounter this face. */ + GW_Face* pFace = &Mesh.CreateNewFace(); + /* set up the face */ + pFace->SetVertex( *pVoronoiVert0, *pVoronoiVert1, *pVoronoiVert2 ); + FaceMap[nUniqueId] = pFace; + } + } + } + } + } + +#endif + + + /* assign the faces */ + this->SetNbrFace( (GW_U32) FaceMap.size() ); + GW_U32 nNum = 0; + for( IT_FaceMap it = FaceMap.begin(); it!=FaceMap.end(); ++it ) + { + this->SetFace( nNum, it->second ); + nNum++; + } + /* rebuild connectivity */ + GW_OutputComment("Building connectivity."); + this->BuildConnectivity(); + /* try to fill the holes */ + if( bFixHole ) + { + GW_OutputComment("Fixing holes."); + this->FixHole(); + /* re-rebuild connectivity */ + this->BuildConnectivity(); + } + +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::FixHole +/** + * \author Gabriel Peyré + * \date 5-16-2003 + * + * Try to fix the hole in the boundary. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::FixHole() +{ + typedef std::pair T_VertexPair; + typedef std::list T_VertexPairList; + typedef T_VertexPairList::iterator IT_VertexPairList; + T_VertexPairList VertexPairList; + for( GW_U32 i=0; iGetNbrFace(); ++i ) + { + GW_Face* pFace = this->GetFace(i); + GW_ASSERT( pFace!=NULL ); + for( GW_U32 nV = 0; nV<3; ++nV ) + { + if( pFace->GetFaceNeighbor(nV)==NULL ) + { + GW_VoronoiVertex* pVert1 = (GW_VoronoiVertex*) pFace->GetVertex( (nV+1)%3 ); + GW_VoronoiVertex* pVert2 = (GW_VoronoiVertex*) pFace->GetVertex( (nV+2)%3 ); + VertexPairList.push_back( T_VertexPair(pVert1,pVert2) ); + } + } + } + char str[50]; + sprintf( str, "%d boundary edges detected.", VertexPairList.size() ); + GW_OutputComment( str ); + while( !VertexPairList.empty() ) + { + T_VertexPairList HoleBorder; + T_VertexPair StartEdge = VertexPairList.front(); + T_VertexPair CurEdge = StartEdge; + VertexPairList.pop_front(); + HoleBorder.push_back( CurEdge ); + /* try to find the hole border */ + GW_Bool bNextEdgeFound = GW_False; + while( true ) + { + bNextEdgeFound = GW_False; + for( IT_VertexPairList it = VertexPairList.begin(); it!=VertexPairList.end(); ++it ) + { + T_VertexPair NewEdge = *it; + if( (NewEdge.first==CurEdge.second) && (NewEdge.second!=CurEdge.first) ) + { + CurEdge = NewEdge; + HoleBorder.push_back( CurEdge ); + bNextEdgeFound = GW_True; + VertexPairList.erase( it ); + break; + } + if( (NewEdge.second==CurEdge.second) && (NewEdge.first!=CurEdge.first) ) + { + CurEdge = T_VertexPair( NewEdge.second, NewEdge.first); + HoleBorder.push_back( CurEdge ); + bNextEdgeFound = GW_True; + VertexPairList.erase( it ); + break; + } + } + if( !bNextEdgeFound ) + break; // the hole cannot be completed + if( StartEdge.first == CurEdge.second ) + break; // the hole is completed + } + if( bNextEdgeFound && HoleBorder.size()>2 ) // that means we have a full hole + { + char str[50]; + sprintf( str, "Filing a hole of %d vertex.", HoleBorder.size() ); + GW_OutputComment( str ); + IT_VertexPairList it = HoleBorder.begin(); + GW_VoronoiVertex* pVert0 = it->first; GW_ASSERT( pVert0!=NULL ); + it++; + GW_VoronoiVertex* pVert1 = it->first; GW_ASSERT( pVert1!=NULL ); + it++; + for( ; it!=HoleBorder.end(); ++it ) + { + GW_VoronoiVertex* pVert2 = it->first; GW_ASSERT( pVert2!=NULL ); + /* test for manifold structure before creating a new edge [v0,v2] */ + GW_Bool bManifold = GW_True; + GW_Face* pFace1, *pFace2; + pVert0->GetFaces( *pVert1, pFace1, pFace2 ); + if( pFace1!=NULL && pFace2!=NULL ) + bManifold = GW_False; + pVert1->GetFaces( *pVert2, pFace1, pFace2 ); + if( pFace1!=NULL && pFace2!=NULL ) + bManifold = GW_False; + pVert0->GetFaces( *pVert2, pFace1, pFace2 ); + if( pFace1!=NULL && pFace2!=NULL ) + bManifold = GW_False; + if( bManifold ) + { + GW_Face& Face = this->CreateNewFace(); + Face.SetVertex( *pVert0, *pVert1, *pVert2 ); + this->AddFace( Face ); + } + pVert1 = pVert2; + } + } + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::CreateNewVertex +/** +* \return [GW_Vertex&] The newly created vertex. +* \author Gabriel Peyré +* \date 4-9-2003 +* +* Allocate memory for a new vertex. +*/ +/*------------------------------------------------------------------------------*/ +GW_Vertex& GW_VoronoiMesh::CreateNewVertex() +{ + return *(new GW_VoronoiVertex); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::CreateNewFace +/** +* \return [GW_Face&] The newly created face. +* \author Gabriel Peyré +* \date 4-9-2003 +* +* Allocate memory for a new face. +*/ +/*------------------------------------------------------------------------------*/ +GW_Face& GW_VoronoiMesh::CreateNewFace() +{ + return *(new GW_Face); +} + +/*------------------------------------------------------------------------------*/ +// Name : FastMarchingCallbackFunction_Boundaries +/** +* \author Gabriel Peyré +* \date 4-12-2003 +* +* A callback function for geodesic computations. +*/ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_VoronoiMesh::FastMarchingCallbackFunction_Boundaries( GW_GeodesicVertex& CurVert ) +{ + // \todo for the moment propagate on the full neighborhood +// for( IT_VoronoiVertexList it=CurrentTargetVertex_.begin(); it!=CurrentTargetVertex_.end(); ++it ) +// { + GW_ASSERT( pCurrentVoronoiVertex_!=NULL ); + for( GW_VertexIterator it=pCurrentVoronoiVertex_->BeginVertexIterator(); it!=pCurrentVoronoiVertex_->EndVertexIterator(); ++it ) + { + GW_VoronoiVertex* pVornoiVert = (GW_VoronoiVertex*) *it; + GW_ASSERT( pVornoiVert!=NULL ); + GW_GeodesicVertex* pVert = pVornoiVert->GetBaseVertex(); + GW_ASSERT( pVert!=NULL ); + if( pVert->GetState()!=GW_GeodesicVertex::kDead ) + return GW_False; + } + return GW_True; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::BuildGeodesicBoundaries +/** + * \author Gabriel Peyré + * \date 4-21-2003 + * + * Compute the geodesic path corresponding to each base mesh vertex. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::BuildGeodesicBoundaries( GW_GeodesicMesh& Mesh ) +{ + Mesh.RegisterForceStopCallbackFunction( FastMarchingCallbackFunction_Boundaries ); + + VertexPathMap_.clear(); + GeodesicDistanceMap_.clear(); + BoundaryEdgeMap_.clear(); + + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + CurrentTargetVertex_.clear(); + pCurrentVoronoiVertex_ = (GW_VoronoiVertex*) this->GetVertex(i); + GW_ASSERT( pCurrentVoronoiVertex_!=NULL ); + + /* set the list of vertex to which the boundary needs to be computed */ + for( GW_VertexIterator it=pCurrentVoronoiVertex_->BeginVertexIterator(); it!=pCurrentVoronoiVertex_->EndVertexIterator(); ++it ) + { + GW_VoronoiVertex* pVert = (GW_VoronoiVertex*) *it; + GW_ASSERT( pVert!=NULL ); + GW_U32 nID = GW_Vertex::ComputeUniqueId( *pCurrentVoronoiVertex_, *pVert ); + if( VertexPathMap_.find( nID )==VertexPathMap_.end() ) + CurrentTargetVertex_.push_back( pVert ); + } + + /* compute fast marching */ + GW_GeodesicVertex* pGeodesicVert = pCurrentVoronoiVertex_->GetBaseVertex(); + GW_ASSERT( pGeodesicVert!=NULL ); + Mesh.ResetGeodesicMesh(); + GW_OutputComment("Performing Fast Marching."); + Mesh.PerformFastMarching( pGeodesicVert ); + + /* track back and compute geodesic path */ + for( IT_VoronoiVertexList it=CurrentTargetVertex_.begin(); it!=CurrentTargetVertex_.end(); ++it ) + { + GW_VoronoiVertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + GW_GeodesicVertex* pGeodesicVert = pVert->GetBaseVertex(); + GW_ASSERT( pGeodesicVert!=NULL ); + GW_ASSERT( pGeodesicVert->GetState()==GW_GeodesicVertex::kDead ); + GW_U32 nID = GW_Vertex::ComputeUniqueId( *pCurrentVoronoiVertex_, *pVert ); + GW_ASSERT( VertexPathMap_.find( nID ) ==VertexPathMap_.end() ); + T_GeodesicVertexList* pVertexGeodesicEdge = new T_GeodesicVertexList; + VertexPathMap_[nID] = pVertexGeodesicEdge; + /* track back and compute the path */ + GW_OutputComment("Computing geodesic path."); + GW_GeodesicPath GeodesicPath; + GeodesicPath.ComputePath( *pGeodesicVert, 5000 ); + /* convert the path into vertex */ + this->AddPathToMeshVertex( Mesh, GeodesicPath, *pVertexGeodesicEdge ); + } + } + + /* \todo This is just a debug test, remove it */ + for( IT_VertexPathMap it = VertexPathMap_.begin(); it!=VertexPathMap_.end(); ++it ) + { + T_GeodesicVertexList* pPath = it->second; + GW_GeodesicVertex* pPrevVert = NULL; + GW_U32 nNum = 0; + for( IT_GeodesicVertexList itVert = pPath->begin(); itVert!=pPath->end(); ++itVert ) + { + GW_GeodesicVertex* pVert = *itVert; + if( pPrevVert==NULL ) + pPrevVert = pVert; + else + { + GW_Face* pFace1, *pFace2; + pPrevVert->GetFaces( *pVert, pFace1, pFace2 ); + // GW_ASSERT( pFace1!=NULL || pFace2!=NULL ) // \todo FIX THIS BUG + if( pFace1!=NULL || pFace2!=NULL ) + { +// cout << "Gap in a geodesic boundary." << endl; + } + pPrevVert = pVert; + } + nNum++; + } + } + + Mesh.RegisterForceStopCallbackFunction( NULL ); + Mesh.ResetGeodesicMesh(); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::AddPathToMeshVertex +/** + * \param CurPath [T_GeodesicVertexList&] The path to test. + * \author Gabriel Peyré + * \date 5-14-2003 + * + * Test for path intersection and fix cracks. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::AddPathToMeshVertex( GW_GeodesicMesh& Mesh, GW_GeodesicPath& GeodesicPath, T_GeodesicVertexList& VertexPath ) +{ + GW_GeodesicVertex* pPrevVert = NULL; + T_GeodesicPointList& PointList = GeodesicPath.GetPointList(); + for( IT_GeodesicPointList it=PointList.begin(); it!=PointList.end(); ++it ) + { + GW_GeodesicPoint* pPoint = *it; GW_ASSERT( pPoint!=NULL ); + GW_GeodesicVertex* pVert1 = pPoint->GetVertex1(); GW_ASSERT( pVert1!=NULL ); + GW_GeodesicVertex* pVert2 = pPoint->GetVertex2(); GW_ASSERT( pVert2!=NULL ); + GW_Float rCoord = pPoint->GetCoord(); + GW_Bool bIsNewVertCreated; + GW_GeodesicVertex* pNewVert = (GW_GeodesicVertex*) Mesh.InsertVertexInEdge( *pPoint->GetVertex1(), *pPoint->GetVertex2(), pPoint->GetCoord(), bIsNewVertCreated ); + if( bIsNewVertCreated ) + { + pNewVert->SetDistance( pPoint->GetVertex1()->GetDistance()*rCoord + + pPoint->GetVertex2()->GetDistance()*(1-rCoord) ); + pNewVert->SetState( pPoint->GetVertex1()->GetState() ); + pNewVert->SetFront( pPoint->GetVertex1()->GetFront() ); + } + /* add the vertex to the path */ + VertexPath.push_back(pNewVert); + + /* test for self intersection */ + IT_GeodesicPointList itSelf = it; + itSelf++; + if( bIsNewVertCreated ) // fix only if new vertex is added + while( itSelf!=PointList.end() ) + { + GW_GeodesicPoint* pPointSelf = *itSelf; GW_ASSERT( pPointSelf!=NULL ); + GW_GeodesicVertex* pVertSelf1 = pPointSelf->GetVertex1(); GW_ASSERT( pVertSelf1!=NULL ); + GW_GeodesicVertex* pVertSelf2 = pPointSelf->GetVertex2(); GW_ASSERT( pVertSelf1!=NULL ); + GW_Float rCoordSelf = pPointSelf->GetCoord(); + if( pVertSelf2==pVert1 && pVertSelf1==pVert2 ) + { + /* we should swap the two vertex */ + GW_GeodesicVertex* pTemp = pVertSelf1; + pVertSelf1 = pVertSelf2; + pVertSelf2 = pTemp; + rCoordSelf = 1-rCoordSelf; + } + if( pVertSelf2==pVert2 && pVertSelf1==pVert1 ) + { + /* there is a self intersection */ + if( rCoordSelf>rCoord ) + { + pPointSelf->SetVertex1( *pVert1 ); + pPointSelf->SetVertex2( *pNewVert ); + pPointSelf->SetCoord( (rCoordSelf-rCoord)/(1-rCoord) ); + } + else + { + pPointSelf->SetVertex1( *pNewVert ); + pPointSelf->SetVertex2( *pVert2 ); + if( rCoord>GW_EPSILON ) + pPointSelf->SetCoord( rCoordSelf/rCoord ); + else + pPointSelf->SetCoord(0); + } + } + itSelf++; + } + + /* now test for intersection with previous path */ + GW_U32 nID = GW_Vertex::ComputeUniqueId( *pVert1, *pVert2 ); + + /* to avoid to reprocess already processed lists */ + std::list PathToProccess; + IT_VertexPathMultiMultiMap itIntersectedPath = BoundaryEdgeMap_.find(nID); + if( bIsNewVertCreated ) // fix only if new vertex is added + while( itIntersectedPath!=BoundaryEdgeMap_.end() && itIntersectedPath->first==nID ) + { + PathToProccess.push_back( itIntersectedPath->second ); + itIntersectedPath++; + } + for( std::list::iterator itIntersectedPath=PathToProccess.begin(); itIntersectedPath!=PathToProccess.end(); ++itIntersectedPath ) + { + /* oups, intersection, we should fix it */ + T_GeodesicVertexList* pIntersectedPath = *itIntersectedPath; + GW_ASSERT( pIntersectedPath!=NULL ); + /* find where the crossing occurs */ + IT_GeodesicVertexList itIntersec = pIntersectedPath->begin(); + GW_GeodesicVertex* pIntersect1 = NULL; + GW_GeodesicVertex* pIntersect2 = NULL; + while( !(itIntersec==pIntersectedPath->end()) ) + { + pIntersect2 = *itIntersec; + if( (pIntersect1==pVert1 && pIntersect2==pVert2) || + (pIntersect1==pVert2 && pIntersect2==pVert1) ) + break; // we have found the position in the path + pIntersect1 = pIntersect2; + itIntersec++; + } + if( pIntersect1!=NULL && pIntersect2!=NULL && itIntersec!=pIntersectedPath->end() ) + { + /* insert new vertex in path */ + pIntersectedPath->insert( itIntersec, pNewVert ); + /* divide previous edge in two */ + // BoundaryEdgeMap_.erase( nID ); // \todo find the correct iterator and remove it + nID = GW_Vertex::ComputeUniqueId( *pVert1, *pNewVert ); + BoundaryEdgeMap_.insert( std::pair( nID, pIntersectedPath ) ); + nID = GW_Vertex::ComputeUniqueId( *pVert2, *pNewVert ); + BoundaryEdgeMap_.insert( std::pair( nID, pIntersectedPath ) ); + } + else + GW_ASSERT( GW_False ); + } + /* add the small newly created edge in the map */ + if( pPrevVert==NULL ) + pPrevVert = pNewVert; + else + { + nID = GW_Vertex::ComputeUniqueId( *pPrevVert, *pNewVert ); + pPrevVert = pNewVert; + BoundaryEdgeMap_.insert( std::pair( nID, &VertexPath ) ); + } + } +} + +/*------------------------------------------------------------------------------*/ +// Name : FastMarchingCallbackFunction_Parametrization +/** +* \author Gabriel Peyré +* \date 4-12-2003 +* +* A callback function for geodesic computations. +*/ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_VoronoiMesh::FastMarchingCallbackFunction_Parametrization( GW_GeodesicVertex& CurVert ) +{ + GW_ASSERT( pCurrentVoronoiVertex_!=NULL ); + + if( !CurVert.GetIsStoppingVertex() || !CurVert.GetBoundaryReached() ) + { + /* add the parameter value */ + CurVert.AddParameterVertex( *pCurrentVoronoiVertex_, CurVert.GetDistance() ); + if( CurVert.GetIsStoppingVertex() ) + CurVert.SetBoundaryReached( GW_True ); + } + /* always continue the computations */ + return GW_False; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::PerformLocalFastMarching +/** + * \param Mesh [GW_GeodesicMesh&] The vertex around which we perform fast marching. + * \param Vert [GW_VoronoiVertex&] The base mesh. + * \author Gabriel Peyré + * \date 4-28-2003 + * + * Perform a fast marching on the voronoi faces around a given + * vertex. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::PerformLocalFastMarching( GW_GeodesicMesh& Mesh, GW_VoronoiVertex& Vert ) +{ + Mesh.ResetGeodesicMesh(); + /* set up a boundary to stop the front propagation */ + for( GW_FaceIterator it=Vert.BeginFaceIterator(); it!=Vert.EndFaceIterator(); ++it ) + { + GW_Face* pFace = *it; + GW_ASSERT( pFace!=NULL ); + GW_VoronoiVertex* pVert1 = (GW_VoronoiVertex*) pFace->GetNextVertex( Vert ); + GW_VoronoiVertex* pVert2 = (GW_VoronoiVertex*) pFace->GetNextVertex( *pVert1 ); + GW_ASSERT( pVert1!=NULL ); + GW_ASSERT( pVert2!=NULL ); + GW_U32 nID = GW_Vertex::ComputeUniqueId( *pVert1, *pVert2 ); + /* get the geodesic edge */ + GW_ASSERT( VertexPathMap_.find(nID)!=VertexPathMap_.end() ); + T_GeodesicVertexList* pVertexGeodesicEdge = VertexPathMap_[nID]; + GW_ASSERT( pVertexGeodesicEdge!=NULL ); + if( pVertexGeodesicEdge!=NULL ) + for( IT_GeodesicVertexList VertIt = pVertexGeodesicEdge->begin(); VertIt!=pVertexGeodesicEdge->end(); ++VertIt ) + { + GW_GeodesicVertex* pGeodesicVert = *VertIt; + pGeodesicVert->SetStoppingVertex( GW_True ); + } + } + /* now compute the fast marching */ + GW_ASSERT( Vert.GetBaseVertex()!=NULL ); + Mesh.PerformFastMarching( Vert.GetBaseVertex() ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::BuildGeodesicParametrization +/** + * \author Gabriel Peyré + * \date 4-26-2003 + * + * Compute the parameter of each vertex of the base mesh. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::BuildGeodesicParametrization( GW_GeodesicMesh& Mesh ) +{ + Mesh.RegisterForceStopCallbackFunction( FastMarchingCallbackFunction_Parametrization ); + Mesh.ResetParametrizationData(); + /* for each base vertex, perform front propagation on the surrounding faces */ + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + CurrentTargetVertex_.clear(); + pCurrentVoronoiVertex_ = (GW_VoronoiVertex*) this->GetVertex(i); // set up global data for callback function + GW_ASSERT( pCurrentVoronoiVertex_!=NULL ); + + GW_OutputComment("Performing local fast marching."); + this->PerformLocalFastMarching( Mesh, *pCurrentVoronoiVertex_ ); + + /* register geodesic boundaries length */ + for( GW_VertexIterator it=pCurrentVoronoiVertex_->BeginVertexIterator(); it!=pCurrentVoronoiVertex_->EndVertexIterator(); ++it ) + { + GW_VoronoiVertex* pNeighbor = (GW_VoronoiVertex*) *it; + GW_ASSERT( pNeighbor!=NULL ); + GW_GeodesicVertex* pGeodesicVert = pNeighbor->GetBaseVertex(); + GW_ASSERT( pGeodesicVert!=NULL ); + GW_U32 nID = GW_Vertex::ComputeUniqueId( *pCurrentVoronoiVertex_, *pNeighbor ); + if( GeodesicDistanceMap_.find(nID)==GeodesicDistanceMap_.end() ) + { + GW_ASSERT( pGeodesicVert->GetState()==GW_GeodesicVertex::kDead ); + /* this is the first time the distance is computed */ + if( pGeodesicVert->GetState()==GW_GeodesicVertex::kDead ) + GeodesicDistanceMap_[nID] = pGeodesicVert->GetDistance(); + } + else + { + GW_ASSERT( pGeodesicVert->GetState()==GW_GeodesicVertex::kDead ); + if( pGeodesicVert->GetState()==GW_GeodesicVertex::kDead ) + { + /* distance alreay computed in the reverse direction : take the average */ + GW_Float rPrevDist = GeodesicDistanceMap_[nID]; + GW_Float rNewDist = pGeodesicVert->GetDistance(); + GeodesicDistanceMap_[nID] = GW_MIN(rPrevDist, rNewDist); //(rPrevDist+rNewDist)*0.5; + } + } + } + + } + + /* now really compute the 3 parameters for each vertex */ + GW_OutputComment("Computing geodesic parametrisation."); + this->ComputeVertexParameters( Mesh ); + + pCurrentVoronoiVertex_ = NULL; + Mesh.RegisterForceStopCallbackFunction( NULL ); + +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::ComputeVertexParameters +/** + * \param Mesh [GW_GeodesicMesh&] The mesh. + * \author Gabriel Peyré + * \date 4-27-2003 + * + * Using geodesic distance from 3 base vertex, compute the + * parameter for each vertex. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::ComputeVertexParameters( GW_GeodesicMesh& Mesh ) +{ + for( GW_U32 i=0; iGetParameterVertex( 0, d0 ); + GW_VoronoiVertex* pVornoiVert1 = pVert->GetParameterVertex( 1, d1 ); + GW_VoronoiVertex* pVornoiVert2 = pVert->GetParameterVertex( 2, d2 ); + if( pVornoiVert0!=NULL && pVornoiVert1!=NULL && pVornoiVert2!=NULL ) + { + GW_ASSERT( pVornoiVert0!=NULL ); + GW_ASSERT( pVornoiVert1!=NULL ); + GW_ASSERT( pVornoiVert2!=NULL ); + GW_GeodesicVertex* pVert0 = pVornoiVert0->GetBaseVertex(); + GW_GeodesicVertex* pVert1 = pVornoiVert1->GetBaseVertex(); + GW_GeodesicVertex* pVert2 = pVornoiVert2->GetBaseVertex(); + GW_ASSERT( pVert0!=NULL ); + GW_ASSERT( pVert1!=NULL ); + GW_ASSERT( pVert2!=NULL ); + GW_U32 nID0 = GW_Vertex::ComputeUniqueId( *pVornoiVert1, *pVornoiVert2 ); + GW_U32 nID1 = GW_Vertex::ComputeUniqueId( *pVornoiVert0, *pVornoiVert2 ); + GW_U32 nID2 = GW_Vertex::ComputeUniqueId( *pVornoiVert0, *pVornoiVert1 ); + if( GeodesicDistanceMap_.find(nID0)!=GeodesicDistanceMap_.end() && + GeodesicDistanceMap_.find(nID1)!=GeodesicDistanceMap_.end() && + GeodesicDistanceMap_.find(nID2)!=GeodesicDistanceMap_.end() ) + { + /* length of each triangle segment. */ + GW_Float l0 = GeodesicDistanceMap_[nID0]; + GW_Float l1 = GeodesicDistanceMap_[nID1]; + GW_Float l2 = GeodesicDistanceMap_[nID2]; + + /* now use Heron rule to compute parameter */ + GW_Float a0 = GW_Maths::ComputeTriangleArea( l0, d1, d2 ); + GW_Float a1 = GW_Maths::ComputeTriangleArea( d0, l1, d2 ); + GW_Float a2 = GW_Maths::ComputeTriangleArea( d0, d1, l2 ); + GW_Float t = GW_Maths::ComputeTriangleArea( l0, l1, l2 ); // area of the big triangle + GW_Float a = a0 + a1 + a2; + GW_ASSERT( a>GW_EPSILON ); + /* test if the point is outside */ + if( a1+a2>t ) + pVert->SetParameterVertex( 0, a1/(a1+a2), a2/(a1+a2) ); + else if( a0+a2>t ) + pVert->SetParameterVertex( a0/(a0+a2), 0, a2/(a0+a2) ); + else if( a0+a1>t ) + pVert->SetParameterVertex( a0/(a0+a1), a1/(a0+a1), 0 ); + else + { + /* the point is inside the triangle */ + pVert->SetParameterVertex( a0/a, a1/a, a2/a ); + } + pVert->SetParameterVertex( a0/a, a1/a, a2/a ); + } + else + { + pVert->SetParameterVertex( 0, 0, 0 ); + } + } + } + + /* fix parameter for voronoi vertex */ + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + GW_VoronoiVertex* pVoronoiVert0 = (GW_VoronoiVertex*) this->GetVertex( i ); + GW_ASSERT( pVoronoiVert0!=NULL ); + GW_GeodesicVertex* pVert = pVoronoiVert0->GetBaseVertex(); + GW_ASSERT( pVert!=NULL ); + GW_Face* pFace = pVoronoiVert0->GetFace(); + GW_ASSERT( pFace!=NULL ); + GW_VoronoiVertex* pVoronoiVert1 = (GW_VoronoiVertex*) pFace->GetNextVertex( *pVoronoiVert0 ); + GW_ASSERT( pVoronoiVert1!=NULL ); + GW_VoronoiVertex* pVoronoiVert2 = (GW_VoronoiVertex*) pFace->GetNextVertex( *pVoronoiVert1 ); + GW_ASSERT( pVoronoiVert2!=NULL ); + pVert->ResetParametrizationData(); + pVert->AddParameterVertex( *pVoronoiVert0, 1 ); + pVert->AddParameterVertex( *pVoronoiVert1, 0 ); + pVert->AddParameterVertex( *pVoronoiVert2, 0 ); + } + + /* find the center of each voronoi face */ + CentralParameterMap_.clear(); + T_FloatMap BestVertexValue; + for( GW_U32 i=0; iGetParameterVertex( 0, a ); + GW_ASSERT( pVert0!=NULL ); + GW_VoronoiVertex* pVert1 = pVert->GetParameterVertex( 1, b ); + GW_ASSERT( pVert1!=NULL ); + GW_VoronoiVertex* pVert2 = pVert->GetParameterVertex( 2, c ); + if( pVert2!=NULL ) + { + GW_Float rBestDist = GW_INFINITE; + GW_U32 nID = GW_Vertex::ComputeUniqueId( *pVert0, *pVert1, *pVert2 ); + if( BestVertexValue.find(nID)!=BestVertexValue.end() ) + rBestDist = BestVertexValue[nID]; + GW_Float rDist = GW_ABS(a - 1.0/3.0) + GW_ABS(b - 1.0/3.0) + GW_ABS(c - 1.0/3.0); + if( rDistSetState( GW_GeodesicVertex::kFar ); + } +} + + + +void GW_VoronoiMesh::PrepareInterpolation( GW_GeodesicMesh& Mesh ) +{ + /* duplicate the geodesic data for each of the vertex */ + for( GW_U32 i=0; irDistance_+GW_EPSILON >= rNewDist; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::FlattenBasePoints +/** + * \param Mesh [GW_GeodesicMesh&] The original mesh. + * \param FlatteningMap [T_Vector2DMap&] A link between the basis geodesic vertex and their 2D positions. + * \author Gabriel Peyré + * \date 6-1-2003 + * + * Compute a 2D position for each base point, using multidimensional scaling. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::FlattenBasePoints( GW_GeodesicMesh& Mesh, T_Vector2DMap& FlatteningMap ) +{ + char str[100]; + /* create a voronoi vertex for each basis vertex */ + this->CreateVoronoiVertex(); + + GW_U32 n = this->GetNbrVertex(); + GW_MatrixNxP dist_matrix(n,n,-1); + + + /* compute the distance matrix */ + for( GW_U32 i=0; iGetVertex(i); GW_ASSERT( pVoronoiVerti!=NULL ); + GW_GeodesicVertex* pGeodesicVerti = (GW_GeodesicVertex*) pVoronoiVerti->GetBaseVertex(); GW_ASSERT( pGeodesicVerti!=NULL ); + + sprintf( str, "Computing distance information for vertex %d.", i ); + GW_OutputComment( str ); + + /* compute the distance map */ + Mesh.ResetGeodesicMesh(); + Mesh.PerformFastMarching( pGeodesicVerti ); + + for( GW_U32 j=0; jGetVertex(j); GW_ASSERT( pVoronoiVerti!=NULL ); + GW_GeodesicVertex* pGeodesicVertj = (GW_GeodesicVertex*) pVoronoiVertj->GetBaseVertex(); GW_ASSERT( pGeodesicVerti!=NULL ); + GW_Float rDist = pGeodesicVertj->GetDistance(); + if( dist_matrix[i][j]<0 ) + dist_matrix[i][j] = rDist*rDist; + else + dist_matrix[i][j] = (dist_matrix[i][j]+rDist*rDist)*0.5; + + if( dist_matrix[j][i]<0 ) + dist_matrix[j][i] = rDist*rDist; + else + dist_matrix[j][i] = (dist_matrix[j][i]+rDist*rDist)*0.5; + } + } + + /* center the matrix */ + sprintf( str, "Performing the multidimensional scaling.", i ); + GW_OutputComment( str ); + GW_MatrixNxP J(n,n,-1.0/n); + for( GW_U32 i=0; i=rScaleX ) + { + rScaleY = rScaleX; + nEigenvectorY = nEigenvectorX; + rScaleX = RealEig[i]; + nEigenvectorX = i; + } + else if( RealEig[i]>=rScaleY ) + { + rScaleY = RealEig[i]; + nEigenvectorY = i; + } + } + rScaleX = sqrt(rScaleX); + rScaleY = sqrt(rScaleY); + GW_ASSERT( nEigenvectorX>=0 ); + GW_ASSERT( nEigenvectorY>=0 ); + + /* compute the 2D position */ + FlatteningMap.clear(); + if( nEigenvectorX>=0 && nEigenvectorY>=0 ) + for( GW_U32 i=0; iGetVertex(i); GW_ASSERT( pVoronoiVerti!=NULL ); + GW_GeodesicVertex* pGeodesicVerti = (GW_GeodesicVertex*) pVoronoiVerti->GetBaseVertex(); GW_ASSERT( pGeodesicVerti!=NULL ); + + GW_Vector2D pos; + pos[0] = rScaleX*v[i][nEigenvectorX]; + pos[1] = rScaleY*v[i][nEigenvectorY]; + FlatteningMap[ pGeodesicVerti->GetID() ] = pos; + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersionRD1 +/** +* \param CurVert [GW_GeodesicVertex&] The current vertex. +* \param rNewDist [GW_Float] The new distance. +* \return [GW_Bool] Insert this vertex to active list ? +* \author Gabriel Peyré +* \date 5-13-2003 +* +* Here we only record the natural neighbors in the weights map. +*/ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersionRD1( GW_GeodesicVertex& CurVert, GW_Float rNewDist ) +{ + GW_ASSERT( pCurWeights_!=NULL ); + GW_GeodesicInformationDuplicata* pDuplicata = (GW_GeodesicInformationDuplicata*) CurVert.GetUserData(); + GW_ASSERT( pDuplicata!=NULL ); + GW_U32 nId = pDuplicata->pFront_->GetID(); + (*pCurWeights_)[ nId ] = -1; // this is one of our natural neighbor, yeah. + return pDuplicata->rDistance_+GW_EPSILON >= rNewDist; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersionRD2 +/** +* \param CurVert [GW_GeodesicVertex&] The current vertex. +* \param rNewDist [GW_Float] The new distance. +* \return [GW_Bool] Insert this vertex to active list ? +* \author Gabriel Peyré +* \date 5-13-2003 +* +* Here we record the reciprocical of the distance. +*/ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersionRD2( GW_GeodesicVertex& CurVert, GW_Float rNewDist ) +{ + GW_ASSERT( pCurWeights_!=NULL ); + GW_U32 nId = CurVert.GetID(); + if( pCurWeights_->find(nId)!=pCurWeights_->end() ) // this is one of our natural neighbor, yeah. + { + if( (*pCurWeights_)[nId]<0 ) + { + /* first time we encounter this vertex, sounds good */ + if( rNewDist>0 ) + (*pCurWeights_)[nId] = 1.0/(rNewDist); + else + (*pCurWeights_)[nId] = GW_INFINITE; + nNbrBaseVertex_RD_++; + } + else + GW_ASSERT( GW_False ); + } + return GW_True; +} + + +GW_Bool GW_VoronoiMesh::FastMarchingCallbackFunction_ForceStopRD( GW_GeodesicVertex& Vert ) +{ + return nNbrBaseVertex_RD_>=pCurWeights_->size(); +} + + + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_VoronoiMesh.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_VoronoiMesh.h.svn-base new file mode 100644 index 0000000..e255147 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_VoronoiMesh.h.svn-base @@ -0,0 +1,225 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VoronoiMesh.h + * \brief Definition of class \c GW_VoronoiMesh + * \author Gabriel Peyré + * \date 4-12-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_VORONOIMESHBUILDER_H_ +#define _GW_VORONOIMESHBUILDER_H_ + +#include "../gw_core/GW_Config.h" +#include "GW_GeodesicMesh.h" +#include "GW_GeodesicPath.h" +#include "GW_VoronoiVertex.h" +#include "../gw_core/GW_ProgressBar.h" + +namespace GW { + + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_U32 */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_VertNbr2ArrayNbr; +typedef T_VertNbr2ArrayNbr::iterator IT_VertNbr2ArrayNbr; +typedef T_VertNbr2ArrayNbr::reverse_iterator RIT_VertNbr2ArrayNbr; +typedef T_VertNbr2ArrayNbr::const_iterator CIT_VertNbr2ArrayNbr; +typedef T_VertNbr2ArrayNbr::const_reverse_iterator CRIT_VertNbr2ArrayNbr; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a map of T_GeodesicVertexList */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_VertexPathMap; +typedef T_VertexPathMap::iterator IT_VertexPathMap; +typedef T_VertexPathMap::reverse_iterator RIT_VertexPathMap; +typedef T_VertexPathMap::const_iterator CIT_VertexPathMap; +typedef T_VertexPathMap::const_reverse_iterator CRIT_VertexPathMap; +//@} + + +/*------------------------------------------------------------------------------*/ +/** \name a multimap of T_GeodesicVertexList */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::multimap T_VertexPathMultiMap; +typedef T_VertexPathMultiMap::iterator IT_VertexPathMultiMultiMap; +typedef T_VertexPathMultiMap::reverse_iterator RIT_VertexPathMultiMap; +typedef T_VertexPathMultiMap::const_iterator CIT_VertexPathMultiMap; +typedef T_VertexPathMultiMap::const_reverse_iterator CRIT_VertexPathMultiMap; +//@} + + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_VoronoiMesh + * \brief Iterate an algorithm wich find base vertex at Voronoy crossing points. + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Remesh the resulting point in a Delaunay fashion. + */ +/*------------------------------------------------------------------------------*/ + +class GW_VoronoiMesh: public GW_Mesh +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_VoronoiMesh(); + virtual ~GW_VoronoiMesh(); + //@} + + //------------------------------------------------------------------------- + /** \name Base mesh construction */ + //------------------------------------------------------------------------- + //@{ + static GW_U32 AddFurthestPoint( T_GeodesicVertexList& VertList, GW_GeodesicMesh& Mesh, GW_Bool bUseRandomStartVertex = GW_False ); + static GW_U32 AddFurthestPointsIterate( T_GeodesicVertexList& VertList, GW_GeodesicMesh& Mesh, GW_U32 nNbrIteration, GW_Bool bUseRandomStartVertex = GW_False, GW_Bool bUseProgressBar = GW_True ); + void BuildMesh( GW_GeodesicMesh& OriginalMesh, GW_Bool bFixHole = GW_True ); + //@} + + //------------------------------------------------------------------------- + /** \name Parametrization construction. */ + //------------------------------------------------------------------------- + //@{ + void BuildGeodesicBoundaries( GW_GeodesicMesh& Mesh ); + void BuildGeodesicParametrization( GW_GeodesicMesh& Mesh ); + //@} + + + void Reset(); + T_GeodesicVertexList& GetBaseVertexList(); + GW_U32 GetNbrBasePoints(); + + T_VertexPathMap& GetGeodesicBoundariesMap(); + + void InterpolatePosition( GW_GeodesicMesh& Mesh, GW_Vector3D& Position, + GW_VoronoiVertex& v0, GW_VoronoiVertex& v1, GW_VoronoiVertex& v2, + GW_Float a, GW_Float b, GW_Float c ); + void InterpolatePositionExhaustiveSearch( GW_GeodesicMesh& Mesh, GW_Vector3D& Position, + GW_VoronoiVertex& v0, GW_VoronoiVertex& v1, GW_VoronoiVertex& v2, + GW_Float a, GW_Float b, GW_Float c ); + + + + //------------------------------------------------------------------------- + /** \name Surface flattening. */ + //------------------------------------------------------------------------- + //@{ + void GetNaturalNeighborWeights( T_FloatMap& Weights, GW_GeodesicMesh& Mesh, GW_GeodesicVertex& Vert ); + void FlattenBasePoints( GW_GeodesicMesh& Mesh, T_Vector2DMap& FlatteningMap ); + void GetReciprocicalDistanceWeights( T_FloatMap& Weights, GW_GeodesicMesh& Mesh, GW_GeodesicVertex& Vert ); + //@} + + + //------------------------------------------------------------------------- + /** \name Class factory methods. */ + //------------------------------------------------------------------------- + //@{ + virtual GW_Vertex& CreateNewVertex(); + virtual GW_Face& CreateNewFace(); + //@} + + /* \todo Should be private */ + void PerformLocalFastMarching( GW_GeodesicMesh& Mesh, GW_VoronoiVertex& Vert ); + static GW_Bool FastMarchingCallbackFunction_Parametrization( GW_GeodesicVertex& CurVert ); + static GW_VoronoiVertex* pCurrentVoronoiVertex_; + static void PerformFastMarching( GW_GeodesicMesh& OriginalMesh, T_GeodesicVertexList& VertList ); + + /** helpers for furthest point building */ + static GW_Bool FastMarchingCallbackFunction_VertexInsersion( GW_GeodesicVertex& CurVert, GW_Float rNewDist ); + static void ResetOnlyVertexState( GW_GeodesicMesh& Mesh ); + + + /** helper for natural neighbor interpolation */ + class GW_GeodesicInformationDuplicata: public GW_SmartCounter + { + public: + GW_GeodesicInformationDuplicata( GW_GeodesicVertex& vert ) + :GW_SmartCounter(), + rDistance_ ( vert.GetDistance() ), + pFront_ ( vert.GetFront() ) + { vert.SetUserData(this); } + GW_Float rDistance_; + GW_GeodesicVertex* pFront_; + }; + + /** intermediate variable for boundaries bulding */ + static T_VertexPathMultiMap BoundaryEdgeMap_; + static void AddPathToMeshVertex( GW_GeodesicMesh& Mesh, GW_GeodesicPath& GeodesicPath, T_GeodesicVertexList& VertexPath ); + +private: + + static GW_Face* FindMaxFace( GW_GeodesicVertex& Vert ); + static GW_GeodesicVertex* FindMaxVertex( GW_GeodesicMesh& Mesh ); + + void CreateVoronoiVertex(); + + /** list of current base vertex */ + T_GeodesicVertexList BaseVertexList_; + + /** list all geodesic distance */ + T_FloatMap GeodesicDistanceMap_; + + /** helpers for mesh building */ + static T_VoronoiVertexMap VoronoiVertexMap_; + static void FastMarchingCallbackFunction_MeshBuilding( GW_GeodesicVertex& CurVert ); + static GW_VoronoiVertex* GetVoronoiFromGeodesic( GW_GeodesicVertex& Vert ); + static GW_Bool TestManifoldStructure( GW_VoronoiVertex& Vert1, GW_VoronoiVertex& Vert2 ); + void FixHole(); + + /** helper for parametrization building */ + static T_VoronoiVertexList CurrentTargetVertex_; + static GW_Bool FastMarchingCallbackFunction_Boundaries( GW_GeodesicVertex& CurVert ); + T_VertexPathMap VertexPathMap_; + void ComputeVertexParameters( GW_GeodesicMesh& Mesh ); + + /** helper for interpolation */ + T_GeodesicVertexMap CentralParameterMap_; + static GW_Bool GetParameterVertex( GW_GeodesicVertex& Vert, GW_Float& a, GW_Float& b, GW_Float& c, + const GW_VoronoiVertex& ParamV0, const GW_VoronoiVertex& ParamV1, const GW_VoronoiVertex& ParamV2 ); + + static GW_Float NaturalNeighborContribution( GW_Face& Face, GW_GeodesicVertex& Vert, T_FloatMap& Weights ); + GW_Bool bInterpolationPreparationDone_; + static GW_Float DistributeContribution( GW_Face& Face, T_FloatMap& Weights, + GW_GeodesicVertex* pVert[3], GW_Vector2D VertPos[3], + T_Vector2DList* pPolyContrib ); +public: + + static GW_Bool FastMarchingCallbackFunction_VertexInsersionNN( GW_GeodesicVertex& CurVert, GW_Float rNewDist ); + static void PrepareInterpolation( GW_GeodesicMesh& Mesh ); + + /** helpers for reciprocical distance interpolation */ + static GW_U32 nNbrBaseVertex_RD_; + static T_FloatMap* pCurWeights_; + static GW_Bool FastMarchingCallbackFunction_VertexInsersionRD1( GW_GeodesicVertex& CurVert, GW_Float rNewDist ); + static GW_Bool FastMarchingCallbackFunction_VertexInsersionRD2( GW_GeodesicVertex& CurVert, GW_Float rNewDist ); + static GW_Bool FastMarchingCallbackFunction_ForceStopRD( GW_GeodesicVertex& Vert ); + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_VoronoiMesh.inl" +#endif + + +#endif // _GW_VORONOIMESHBUILDER_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_VoronoiMesh.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_VoronoiMesh.inl.svn-base new file mode 100644 index 0000000..8de207d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_VoronoiMesh.inl.svn-base @@ -0,0 +1,905 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VoronoiMesh.inl + * \brief Inlined methods for \c GW_VoronoiMesh + * \author Gabriel Peyré + * \date 4-12-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_VoronoiMesh.h" +#include "../gw_core/GW_PolygonIntersector.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh constructor +/** + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_VoronoiMesh::GW_VoronoiMesh() +: GW_Mesh(), + bInterpolationPreparationDone_( GW_False ) +{ + /* NOTHING */ +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh destructor +/** + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_VoronoiMesh::~GW_VoronoiMesh() +{ + /* delete the map of path */ + for( IT_VertexPathMap it = VertexPathMap_.begin(); it!=VertexPathMap_.end(); ++it ) + { + T_GeodesicVertexList* pList = it->second; + GW_ASSERT( pList!=NULL ); + GW_DELETE( pList ); + } + VertexPathMap_.clear(); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::GetBaseVertexList +/** + * \return [T_GeodesicVertexList&] The list. + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Get the list of base points. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +T_GeodesicVertexList& GW_VoronoiMesh::GetBaseVertexList() +{ + return BaseVertexList_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::Reset +/** + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Clear the list of points. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_VoronoiMesh::Reset() +{ + GW_Mesh::Reset(); + BaseVertexList_.clear(); + for( IT_VertexPathMap it = VertexPathMap_.begin(); it!=VertexPathMap_.end(); ++it ) + { + T_GeodesicVertexList* pVertList = it->second; + GW_DELETE(pVertList); + } + VertexPathMap_.clear(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::GetNbrBasePoints +/** + * \return [GW_U32] The number. + * \author Gabriel Peyré + * \date 4-13-2003 + * + * Get the number of base points. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_U32 GW_VoronoiMesh::GetNbrBasePoints() +{ + return (GW_U32) BaseVertexList_.size(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::GetGeodesicBoundariesMap +/** + * \return [T_VertexPathMap&] The map. + * \author Gabriel Peyré + * \date 4-23-2003 + * + * Get the map containing all geodesic boundaries. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +T_VertexPathMap& GW_VoronoiMesh::GetGeodesicBoundariesMap() +{ + return VertexPathMap_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::InterpolatePosition +/** +* \param Position Answer : the position. +* \param v0 [GW_VoronoiVertex&] 1st vertex parameter. +* \param v1 [GW_VoronoiVertex&] 2nd vertex parameter +* \param v2 [GW_VoronoiVertex&] 3rd vertex parameter. +* \param p0 [GW_Float] 1st value parameter (barycentric coord). +* \param p1 [GW_Float] 2nd value parameter (barycentric coord). +* \param p2 [GW_Float] 3rd value parameter (barycentric coord). +* \param pGuess [GW_Face*] A guess of the surrounding face. +* \author Gabriel Peyré +* \date 4-30-2003 +* +* Interpolate the position for a given value of parameters +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_VoronoiMesh::InterpolatePosition( GW_GeodesicMesh& Mesh, GW_Vector3D& Position, GW_VoronoiVertex& v0, GW_VoronoiVertex& v1, GW_VoronoiVertex& v2, + GW_Float a, GW_Float b, GW_Float c ) +{ + /* find a guess to start */ + GW_U32 nID = GW_Vertex::ComputeUniqueId( v0, v1, v2 ); + GW_ASSERT( CentralParameterMap_.find(nID)!=CentralParameterMap_.end() ); + GW_GeodesicVertex* pVert = CentralParameterMap_[nID]; + GW_ASSERT( pVert!=NULL ); + if( pVert==NULL ) + return; + GW_Face* pGuess = pVert->GetFace(); + GW_Face* pPrevGuess = NULL; + + GW_Float x, y, z; + + /* order the vertex by increasing ID */ + const GW_VoronoiVertex* pVParam0 = &v0, *pVParam1 = &v1, *pVParam2 = &v2; + + /* now search for "the" face */ + GW_GeodesicVertex* pVert0, *pVert1, *pVert2; + GW_Face* pSelectedFace = NULL; + GW_U32 nNumIter = 0; // just to avoid infinite loop. + while( pSelectedFace==NULL ) + { + pVert0 = (GW_GeodesicVertex*) pGuess->GetVertex(0); + pVert1 = (GW_GeodesicVertex*) pGuess->GetVertex(1); + pVert2 = (GW_GeodesicVertex*) pGuess->GetVertex(2); + + /* parameters of the surrounding face */ + GW_Float a0, b0, c0, + a1, b1, c1, + a2, b2, c2; + GW_Bool bValid = GW_True; + bValid = bValid & GW_VoronoiMesh::GetParameterVertex( *pVert0, a0, b0, c0, *pVParam0, *pVParam1, *pVParam2 ); + bValid = bValid & GW_VoronoiMesh::GetParameterVertex( *pVert1, a1, b1, c1, *pVParam0, *pVParam1, *pVParam2 ); + bValid = bValid & GW_VoronoiMesh::GetParameterVertex( *pVert2, a2, b2, c2, *pVParam0, *pVParam1, *pVParam2 ); + + /* translate coordinate in global param into coord in local face param */ + GW_I32 nRet = GW_Maths::ComputeLocalGeodesicParameter( x, y, z, a, b, c, + a0, b0, c0, a1, b1, c1, a2, b2, c2 ); + + if( nRet<0 || !bValid ) + { + /* the conversion was impossible */ + GW_VoronoiMesh::InterpolatePositionExhaustiveSearch( Mesh, Position, v0, v1, v2, a, b, c ); + return; + } + else if( x<0 ) + pGuess = pGuess->GetFaceNeighbor( *pVert0 ); + else if( y<0 ) + pGuess = pGuess->GetFaceNeighbor( *pVert1 ); + else if( z<0 ) + pGuess = pGuess->GetFaceNeighbor( *pVert2 ); + else + { + /* yes, this is it ! */ + pSelectedFace = pGuess; + } + GW_ASSERT( pGuess!=NULL ); + + nNumIter++; + if( nNumIter>200 ) + { +// GW_ASSERT( GW_False ); + /* use brute force method */ + GW_VoronoiMesh::InterpolatePositionExhaustiveSearch( Mesh, Position, v0, v1, v2, a, b, c ); + return; + } + + pPrevGuess = pGuess; + } + + /* this face is the correct one */ + if( x>1.1 || y>1.1 || z>1.1 || x<-0.1 || y<-0.1 || z<-0.1 ) + { + GW_CLAMP(x, 0,1); + GW_CLAMP(y, 0,1); + z = 1-x-y; + } + Position = pVert0->GetPosition()*x + pVert1->GetPosition()*y + pVert2->GetPosition()*z; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::GetParameterVertex +/** + * \param Vert [GW_GeodesicVertex&] Vertex. + * \param a [GW_Float&] 1st param. + * \param b [GW_Float&] 2nd param. + * \param c [GW_Float&] 3rd param. + * \param ParamV0 [GW_VoronoiVertex&] 1st vertex param. + * \param ParamV1 [GW_VoronoiVertex&] 2nd vertex param. + * \param ParamV2 [GW_VoronoiVertex&] 3rd vertex param. + * \return Is the result valid (e.g. it is false if the vertex doesn't belongs to the corresponding face) + * \author Gabriel Peyré + * \date 5-1-2003 + * + * Helper method : retrieve the parameters of a vertex, taking care + * of boundary vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Bool GW_VoronoiMesh::GetParameterVertex( GW_GeodesicVertex& Vert, GW_Float& a, GW_Float& b, GW_Float& c, const GW_VoronoiVertex& ParamV0, const GW_VoronoiVertex& ParamV1, const GW_VoronoiVertex& ParamV2 ) +{ + GW_Float unordered_coords[3]; + GW_Float ordered_coords[3]; + const GW_VoronoiVertex* pParamV[3] = {&ParamV0, &ParamV1, &ParamV2}; + GW_VoronoiVertex* pV[3]; + + /* store the parameter value and vertex */ + for( GW_U32 i=0; i<3; ++i ) + { + pV[i] = Vert.GetParameterVertex( i, unordered_coords[i] ); + if( pV[i]==NULL ) + unordered_coords[i] = -GW_INFINITE; + } + + GW_I32 nConnexion[3] = {-1,-1,-1}; + + /* set up the connexion */ + for( GW_U32 i=0; i<3; ++i ) + { + if( pParamV[i]==pV[0] ) + nConnexion[i] = 0; + else if( pParamV[i]==pV[1] ) + nConnexion[i] = 1; + else if( pParamV[i]==pV[2] ) + nConnexion[i] = 2; + } + + /* computed the ordered coords */ + for( GW_U32 i=0; i<3; ++i ) + { + if( nConnexion[i]!=-1 ) + ordered_coords[i] = unordered_coords[nConnexion[i]]; + else + { + /* special case */ + GW_U32 i1 = (i+1)%3; + GW_U32 i2 = (i+2)%3; + if( nConnexion[i1]!=-1 && nConnexion[i2]!=-1 ) + { + // return GW_False; + GW_U32 nTarget = 3 - nConnexion[i1] - nConnexion[i2]; + if( GW_ABS(unordered_coords[nTarget])>GW_EPSILON ) + { + a = b = c = -GW_INFINITE; + return GW_False; + } + else + ordered_coords[i] = 0; + } + else + { + a = b = c = -GW_INFINITE; + return GW_False; + } + } + } + + a = ordered_coords[0]; + b = ordered_coords[1]; + c = ordered_coords[2]; + + /* rescale if necessary */ + GW_Float s = a+b+c; + if( s<=0 ) + return GW_False; + if( s!=1 && s!=0 ) + { + a /= s; b /= s; c /= s; + } + return GW_True; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::GetVoronoiFromGeodesic +/** + * \param Vert [GW_GeodesicVertex&] The geodesic vertex. + * \return [GW_VoronoiVertex*] The voronoi vertex. + * \author Gabriel Peyré + * \date 5-15-2003 + * + * Find the voronoi vertex corresponding to the geodesic vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_VoronoiVertex* GW_VoronoiMesh::GetVoronoiFromGeodesic( GW_GeodesicVertex& Vert ) +{ + if( VoronoiVertexMap_.find(Vert.GetID())==VoronoiVertexMap_.end() ) + return NULL; + return VoronoiVertexMap_[Vert.GetID()]; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::InterpolatePositionExhaustiveSearch +/** +* \param Position Answer : the position. +* \param v0 [GW_VoronoiVertex&] 1st vertex parameter. +* \param v1 [GW_VoronoiVertex&] 2nd vertex parameter +* \param v2 [GW_VoronoiVertex&] 3rd vertex parameter. +* \param p0 [GW_Float] 1st value parameter (barycentric coord). +* \param p1 [GW_Float] 2nd value parameter (barycentric coord). +* \param p2 [GW_Float] 3rd value parameter (barycentric coord). +* \param pGuess [GW_Face*] A guess of the surrounding face. +* \author Gabriel Peyré +* \date 4-30-2003 +* +* Interpolate the position for a given value of parameters. +* SLOW : makes an EXHAUSTIVE search ! +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_VoronoiMesh::InterpolatePositionExhaustiveSearch( GW_GeodesicMesh& Mesh, GW_Vector3D& Position, + GW_VoronoiVertex& v0, GW_VoronoiVertex& v1, GW_VoronoiVertex& v2, + GW_Float a, GW_Float b, GW_Float c ) +{ + GW_Float rBestDist = GW_INFINITE; + GW_Face* pSelectedFace = NULL; + GW_Float SelectedCoord[3] = {1,0,0}; + + const GW_VoronoiVertex* pVParam0 = &v0, *pVParam1 = &v1, *pVParam2 = &v2; + GW_Float x,y,z; + GW_GeodesicVertex *pVert0=NULL, *pVert1=NULL, *pVert2=NULL; + + for( GW_U32 i=0; iGetVertex(0); + pVert1 = (GW_GeodesicVertex*) pFace->GetVertex(1); + pVert2 = (GW_GeodesicVertex*) pFace->GetVertex(2); + + /* parameters of the surrounding face */ + GW_Float a0, b0, c0, + a1, b1, c1, + a2, b2, c2; + GW_Bool bValid = GW_True; + bValid = bValid & GW_VoronoiMesh::GetParameterVertex( *pVert0, a0, b0, c0, *pVParam0, *pVParam1, *pVParam2 ); + bValid = bValid & GW_VoronoiMesh::GetParameterVertex( *pVert1, a1, b1, c1, *pVParam0, *pVParam1, *pVParam2 ); + bValid = bValid & GW_VoronoiMesh::GetParameterVertex( *pVert2, a2, b2, c2, *pVParam0, *pVParam1, *pVParam2 ); + + /* translate coordinate in global param into coord in local face param */ + GW_I32 nRet = GW_Maths::ComputeLocalGeodesicParameter( x, y, z, a, b, c, + a0, b0, c0, a1, b1, c1, a2, b2, c2 ); + if( bValid && nRet>=0 ) + { + if( x>=0 && y>=0 && z>=0 ) + { + /* it's ok ! */ + Position = pVert0->GetPosition()*x + pVert1->GetPosition()*y + pVert2->GetPosition()*z; + return; + } + /* try best match */ + GW_Float rDist = GW_ABS(0.333-x)+GW_ABS(0.333-y)+GW_ABS(0.333-z); + if( rDistGetVertex(0)->GetPosition()*SelectedCoord[0] + + pSelectedFace->GetVertex(1)->GetPosition()*SelectedCoord[1] + + pSelectedFace->GetVertex(2)->GetPosition()*SelectedCoord[2]; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GetNaturalNeighborWeights +/** +* \param Weights [T_FloatMap&] The weights for each neighbor. +* \param Mesh [GW_GeodesicMesh&] The mesh. +* \param Vert [GW_GeodesicVertex&] The vertex where we want to perform the interpolation. +* \author Gabriel Peyré +* \date 5-30-2003 +* +* Compute the weights for a natural neighbors interpolation. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_VoronoiMesh::GetNaturalNeighborWeights( T_FloatMap& Weights, GW_GeodesicMesh& Mesh, GW_GeodesicVertex& Vert ) +{ + if( Vert.GetFace()==NULL ) + return; + + /* just correct the distance map if necessary */ + GW_GeodesicVertex* pStartVert = BaseVertexList_.back(); + if( pStartVert->GetFront()!=pStartVert ) + { + Mesh.RegisterVertexInsersionCallbackFunction( GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersion ); + GW_VoronoiMesh::ResetOnlyVertexState( Mesh ); + Mesh.PerformFastMarching( pStartVert ); + Mesh.RegisterVertexInsersionCallbackFunction( NULL ); + } + + if( !bInterpolationPreparationDone_ ) + { + GW_VoronoiMesh::PrepareInterpolation( Mesh ); + bInterpolationPreparationDone_ = GW_True; + } + + Weights.clear(); + + /* special case for original point */ + for( IT_GeodesicVertexList it=BaseVertexList_.begin(); it!=BaseVertexList_.end(); ++it ) + { + if( &Vert==*it ) + { + // break; + Weights[ Vert.GetID() ] = 1; + return; + } + } + + /* perform a Fast Marching from the point */ + Mesh.RegisterVertexInsersionCallbackFunction( GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersionNN ); + GW_VoronoiMesh::ResetOnlyVertexState( Mesh ); + Mesh.PerformFastMarching( &Vert ); + + /* compute contribution for weights */ + T_FaceList FaceToProceed; + FaceToProceed.push_back( Vert.GetFace() ); + GW_Float rTotalArea = 0; + T_FaceMap FaceMap; + FaceMap[ Vert.GetFace()->GetID() ] = Vert.GetFace(); + + while( !FaceToProceed.empty() ) + { + GW_Face* pFace = FaceToProceed.front(); + GW_ASSERT( pFace!=NULL ); + FaceToProceed.pop_front(); + + /* compute contribution */ + rTotalArea += GW_VoronoiMesh::NaturalNeighborContribution( *pFace, Vert, Weights ); + + /* add neighbors */ + for( GW_U32 i=0; i<3; ++i ) + { + GW_Face* pNewFace = pFace->GetFaceNeighbor(i); + if( pNewFace!=NULL && FaceMap.find(pNewFace->GetID())==FaceMap.end() ) + { + GW_Bool bAddThisFace = GW_False; + for( GW_U32 nVert=0; nVert<3; ++nVert ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) pNewFace->GetVertex(nVert); + GW_ASSERT( pVert!=NULL ); + if( pVert->GetFront()==&Vert ) + { + bAddThisFace = GW_True; + break; + } + } + if( bAddThisFace ) + { + FaceToProceed.push_back( pNewFace ); + FaceMap[ pNewFace->GetID() ] = pNewFace; // so that it won't be added anymore + } + } + } + } + + /* scale so that weights sum to 1 */ + GW_ASSERT( rTotalArea>0 ); + if( rTotalArea>0 ) + for( IT_FloatMap it=Weights.begin(); it!=Weights.end(); ++it ) + it->second /= rTotalArea; + + + Mesh.RegisterVertexInsersionCallbackFunction( NULL ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::NaturalNeighborContribution +/** +* \param Face [GW_Face&] The face. +* \param Vert [GW_GeodesicVertex&] The vertex to interpolate. +* \param Weights [T_FloatMap&] The weights. +* \return [GW_Float] Total area that contriibute to interpolation. +* \author Gabriel Peyré +* \date 5-30-2003 +* +* Add the contribution to the weights for this face. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_VoronoiMesh::NaturalNeighborContribution( GW_Face& Face, GW_GeodesicVertex& Vert, T_FloatMap& Weights ) +{ + GW_GeodesicInformationDuplicata* pDuplicata = NULL; + /* the area of the face */ + GW_Float rContrib = 0; + GW_Float lambda; + + /* for each vertex see if there is a contribution */ + GW_U32 nNumContrib = 0; + GW_U32 nNumOther = 0; + GW_GeodesicVertex* pVertContrib[3] = { NULL, NULL, NULL }; + GW_Float rDistance[3] = { -1, -1, -1 }; + for( GW_U32 i=0; i<3; ++i ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) Face.GetVertex(i); GW_ASSERT( pVert!=NULL ); + if( pVert->GetFront()==&Vert ) + { + pVertContrib[nNumContrib] = pVert; + rDistance[nNumContrib] = pVert->GetDistance(); + nNumContrib++; + } + else + { + pVertContrib[2-nNumOther] = pVert; + GW_GeodesicInformationDuplicata* pDuplicata1 = (GW_GeodesicInformationDuplicata*) pVert->GetUserData(); + GW_ASSERT( pDuplicata1!=NULL ); + rDistance[2-nNumOther] = pDuplicata1->rDistance_; + nNumOther++; + } + } + + /* Flatten each 3 vertex */ + GW_ASSERT( pVertContrib[0]!=NULL ); + GW_ASSERT( pVertContrib[1]!=NULL ); + GW_ASSERT( pVertContrib[2]!=NULL ); + GW_Vector2D VertContribPos[3]; + GW_Vector3D e1 = pVertContrib[1]->GetPosition() - pVertContrib[0]->GetPosition(); + GW_Vector3D e2 = pVertContrib[2]->GetPosition() - pVertContrib[0]->GetPosition(); + GW_Float l1 = ~e1; + GW_Float l2 = ~e2; + e1 /= l1; + e2 /= l2; + VertContribPos[1] = GW_Vector2D( l1, 0 ); + GW_Float dot = e1*e2; + VertContribPos[2] = GW_Vector2D( l2*dot, l2*sqrt(1-dot*dot) ); + + T_Vector2DList ContribPoly; + /* for each special case, Compute the polygon */ + switch(nNumContrib) { + case 1: + { + /* the contributor is pVertContrib[0], and pVertContrib[1] & pVertContrib[2] are not contributing */ + /* compute 1st intersection point */ + GW_GeodesicVertex::ComputeFrontIntersection( *pVertContrib[0], rDistance[0], *pVertContrib[1], rDistance[1], NULL, &lambda ); + GW_Vector2D inter1 = VertContribPos[0]*lambda + VertContribPos[1]*(1-lambda); + /* compute 2nd intersection point */ + GW_GeodesicVertex::ComputeFrontIntersection( *pVertContrib[0], rDistance[0], *pVertContrib[2], rDistance[2], NULL, &lambda ); + GW_Vector2D inter2 = VertContribPos[0]*lambda + VertContribPos[2]*(1-lambda); + + + GW_GeodesicInformationDuplicata* pDuplicata1 = (GW_GeodesicInformationDuplicata*) pVertContrib[1]->GetUserData(); + GW_ASSERT( pDuplicata1!=NULL ); + GW_GeodesicInformationDuplicata* pDuplicata2 = (GW_GeodesicInformationDuplicata*) pVertContrib[2]->GetUserData(); + GW_ASSERT( pDuplicata2!=NULL ); + + /* two cases */ + if( pDuplicata1->pFront_!=pDuplicata2->pFront_ ) + { + /* a quadrilater, we must compute the other intersection */ + GW_GeodesicVertex::ComputeFrontIntersection( *pVertContrib[1], rDistance[1], *pVertContrib[2], rDistance[2], NULL, &lambda ); + GW_Vector2D inter3 = VertContribPos[1]*lambda + VertContribPos[2]*(1-lambda); + GW_Vector2D center = (inter1+inter2+inter3)/3; // isobarycenter + /* add the points to the polygon */ + ContribPoly.push_back( VertContribPos[0] ); // remember that non-contributive vertex are in clockwise orientation + ContribPoly.push_back( inter1 ); + ContribPoly.push_back( center ); + ContribPoly.push_back( inter2 ); + GW_ASSERT( GW_PolygonIntersector::CheckOrientation( ContribPoly ) ); + } + else + { + /* a triangle */ + ContribPoly.push_back( VertContribPos[0] ); + ContribPoly.push_back( inter1 ); + ContribPoly.push_back( inter2 ); + GW_ASSERT( GW_PolygonIntersector::CheckOrientation( ContribPoly ) ); + + } + + /* compute the % of contribution to give to each vertex */ + return DistributeContribution( Face, Weights, pVertContrib, VertContribPos, &ContribPoly ); + } + break; + case 2: + { + /* compute the intersection points */ + GW_GeodesicVertex::ComputeFrontIntersection( *pVertContrib[0], rDistance[0], *pVertContrib[2], rDistance[2], NULL, &lambda ); + GW_Vector2D inter1 = VertContribPos[0]*lambda + VertContribPos[2]*(1-lambda); + GW_GeodesicVertex::ComputeFrontIntersection( *pVertContrib[1], rDistance[1], *pVertContrib[2], rDistance[2], NULL, &lambda ); + GW_Vector2D inter2 = VertContribPos[1]*lambda + VertContribPos[2]*(1-lambda); + + /* the polygon is a quadrilater */ + ContribPoly.push_back( VertContribPos[0] ); + ContribPoly.push_back( VertContribPos[1] ); + ContribPoly.push_back( inter2 ); + ContribPoly.push_back( inter1 ); + GW_ASSERT( GW_PolygonIntersector::CheckOrientation( ContribPoly ) ); + + /* compute the % of contribution to give to each vertex */ + return DistributeContribution( Face, Weights, pVertContrib, VertContribPos, &ContribPoly ); + } + break; + case 3: + /* compute the % of contribution to give to each vertex */ + return DistributeContribution( Face, Weights, pVertContrib, VertContribPos, NULL ); // NULL to avoid intersection computations + break; + default: + GW_ASSERT(GW_False); + return 0; + } +} + + + +GW_INLINE +GW_Float GW_VoronoiMesh::DistributeContribution( GW_Face& Face, T_FloatMap& Weights, + GW_GeodesicVertex* pVert[3], GW_Vector2D VertPos[3], + T_Vector2DList* pPolyContrib ) +{ + GW_GeodesicInformationDuplicata* pDuplicata = NULL; + GW_U32 nID; + GW_Float lambda; + GW_GeodesicVertex* pFront[3] = {NULL, NULL, NULL}; + GW_Float d[3]; + + /* get the front information */ + for( GW_U32 i=0; i<3; ++i ) + { + pDuplicata = (GW_GeodesicInformationDuplicata*) pVert[i]->GetUserData(); GW_ASSERT( pDuplicata!=NULL ); + pFront[i] = pDuplicata->pFront_; GW_ASSERT( pFront[i]!=NULL ); + d[i] = pDuplicata->rDistance_; + } + + GW_Float rContrib, rContribTemp = 0; + + /* The 3 fronts are the same ************************************************************************************/ + if( pFront[0]==pFront[1] && pFront[1]==pFront[2] ) + { + if( pPolyContrib==NULL ) // the whole polygon is contributing + rContrib = Face.GetArea(); + else + rContrib = GW_PolygonIntersector::ComputePolygonArea( *pPolyContrib ); + + nID = pFront[0]->GetID(); + if( Weights.find(nID)==Weights.end() ) // first time some contribution for this vertex is computed + Weights[nID] = rContrib; + else + Weights[nID] += rContrib; + return rContrib; + } + + /* two fronts same and one front different ********************************************************************/ + for( GW_U32 i=0; i<3; ++i ) + { + GW_U32 i1 = (i+1)%3; + GW_U32 i2 = (i+2)%3; + if( pFront[i]!=pFront[i1] && pFront[i1]==pFront[i2] ) + { + /* compute intersection points *************************************/ + GW_GeodesicVertex::ComputeFrontIntersection( *pVert[i], d[i], *pVert[i1], d[i1], NULL, &lambda ); + GW_Vector2D inter1 = VertPos[i]*lambda + VertPos[i1]*(1-lambda); + GW_GeodesicVertex::ComputeFrontIntersection( *pVert[i], d[i], *pVert[i2], d[i2], NULL, &lambda ); + GW_Vector2D inter2= VertPos[i]*lambda + VertPos[i2]*(1-lambda); + + /* contribution for front i ****************************************/ + T_Vector2DList Poly1; // this is a triangle + Poly1.push_back(VertPos[i]); + Poly1.push_back(inter1); + Poly1.push_back(inter2); + GW_ASSERT( GW_PolygonIntersector::CheckOrientation( Poly1 ) ); + + if( pPolyContrib==NULL ) // the whole polygon is contributing + rContrib = GW_PolygonIntersector::ComputePolygonArea( Poly1 ); + else + { + GW_PolygonIntersector PolyInt; + PolyInt.PerformIntersection( Poly1, *pPolyContrib ); + rContrib = PolyInt.GetAreaIntersection(); + } + + rContribTemp = rContrib; + + nID = pFront[i]->GetID(); + if( Weights.find(nID)==Weights.end() ) // first time some contribution for this vertex is computed + Weights[nID] = rContrib; + else + Weights[nID] += rContrib; + + /* contribution for front i1 ****************************************/ + T_Vector2DList Poly2; // this is a quadrilater + Poly2.push_back(inter1); + Poly2.push_back(VertPos[i1]); + Poly2.push_back(VertPos[i2]); + Poly2.push_back(inter2); + GW_ASSERT( GW_PolygonIntersector::CheckOrientation( Poly2 ) ); + + if( pPolyContrib==NULL ) // the whole polygon is contributing + rContrib = GW_PolygonIntersector::ComputePolygonArea( Poly2 ); + else + { + GW_PolygonIntersector PolyInt; + PolyInt.PerformIntersection( Poly2, *pPolyContrib ); + rContrib = PolyInt.GetAreaIntersection(); + } + + rContribTemp += rContrib; + + nID = pFront[i1]->GetID(); + if( Weights.find(nID)==Weights.end() ) // first time some contribution for this vertex is computed + Weights[nID] = rContrib; + else + Weights[nID] += rContrib; + return rContribTemp; + } + } + + /* the 3 fronts are differents *************************************************************************/ + GW_ASSERT( pFront[0]!=pFront[1] && pFront[1]!=pFront[2] && pFront[2]!=pFront[0] ); + GW_Vector2D inter[3]; + /* compute intersection */ + for( GW_U32 i=0; i<3; ++i ) + { + GW_U32 i1 = (i+1)%3; + GW_U32 i2 = (i+2)%3; + GW_GeodesicVertex::ComputeFrontIntersection( *pVert[i1], d[i1], *pVert[i2], d[i2], NULL, &lambda ); + inter[i] = VertPos[i1]*lambda + VertPos[i2]*(1-lambda); + } + GW_Vector2D center = (inter[0]+inter[1]+inter[2])/3; + /* compute contribution */ + for( GW_U32 i=0; i<3; ++i ) + { + GW_U32 i1 = (i+1)%3; + GW_U32 i2 = (i+2)%3; + T_Vector2DList Poly; // this is a quadrilater + Poly.push_back(VertPos[i]); + Poly.push_back(inter[i2]); + Poly.push_back(center); + Poly.push_back(inter[i1]); + GW_ASSERT( GW_PolygonIntersector::CheckOrientation( Poly ) ); + + if( pPolyContrib==NULL ) // the whole polygon is contributing + rContrib = GW_PolygonIntersector::ComputePolygonArea( Poly ); + else + { + GW_PolygonIntersector PolyInt; + PolyInt.PerformIntersection( Poly, *pPolyContrib ); + rContrib = PolyInt.GetAreaIntersection(); + } + + nID = pFront[i]->GetID(); + if( Weights.find(nID)==Weights.end() ) // first time some contribution for this vertex is computed + Weights[nID] = rContrib; + else + Weights[nID] += rContrib; + + rContribTemp += rContrib; + } + return rContribTemp; +} + + + + +/*------------------------------------------------------------------------------*/ +// Name : GetReciprocicalDistanceWeights +/** +* \param Weights [T_FloatMap&] The weights for each neighbor. +* \param Mesh [GW_GeodesicMesh&] The mesh. +* \param Vert [GW_GeodesicVertex&] The vertex where we want to perform the interpolation. +* \author Gabriel Peyré +* \date 5-30-2003 +* +* Compute the weights for a reciprocical interpolation. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_VoronoiMesh::GetReciprocicalDistanceWeights( T_FloatMap& Weights, GW_GeodesicMesh& Mesh, GW_GeodesicVertex& Vert ) +{ + if( Vert.GetFace()==NULL ) + return; + + /* just correct the distance map if necessary */ + GW_GeodesicVertex* pStartVert = BaseVertexList_.back(); + if( pStartVert->GetFront()!=pStartVert ) + { + Mesh.RegisterVertexInsersionCallbackFunction( GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersion ); + GW_VoronoiMesh::ResetOnlyVertexState( Mesh ); + Mesh.PerformFastMarching( pStartVert ); + Mesh.RegisterVertexInsersionCallbackFunction( NULL ); + } + + if( !bInterpolationPreparationDone_ ) + { + GW_VoronoiMesh::PrepareInterpolation( Mesh ); + bInterpolationPreparationDone_ = GW_True; + } + + Weights.clear(); + pCurWeights_ = &Weights; + nNbrBaseVertex_RD_ = 0; + + /* special case for original point */ + for( IT_GeodesicVertexList it=BaseVertexList_.begin(); it!=BaseVertexList_.end(); ++it ) + { + if( &Vert==*it ) + { + Weights[ Vert.GetID() ] = 1; + return; + } + } + + /* First step : compute the natural neighbors ************************************************/ + /* perform a Fast Marching from the point */ + Mesh.RegisterVertexInsersionCallbackFunction( GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersionRD1 ); + GW_VoronoiMesh::ResetOnlyVertexState( Mesh ); + Mesh.PerformFastMarching( &Vert ); + + /* Second step : compute the weights *********************************************************/ + /* perform a Fast Marching from the point */ + Mesh.RegisterVertexInsersionCallbackFunction( GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersionRD2 ); + Mesh.RegisterForceStopCallbackFunction( GW_VoronoiMesh::FastMarchingCallbackFunction_ForceStopRD ); + Mesh.ResetGeodesicMesh(); + Mesh.PerformFastMarching( &Vert ); + + /* scale so that weights sum to 1 */ + GW_Float rTotalWeigth = 0; + for( IT_FloatMap it=Weights.begin(); it!=Weights.end(); ++it ) + rTotalWeigth += it->second; + GW_ASSERT( rTotalWeigth>0 ); + for( IT_FloatMap it=Weights.begin(); it!=Weights.end(); ++it ) + it->second /= rTotalWeigth; + + Mesh.RegisterVertexInsersionCallbackFunction( NULL ); + Mesh.RegisterForceStopCallbackFunction( NULL ); +} + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_VoronoiVertex.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_VoronoiVertex.cpp.svn-base new file mode 100644 index 0000000..108cd83 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_VoronoiVertex.cpp.svn-base @@ -0,0 +1,112 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VoronoiVertex.cpp + * \brief Definition of class \c GW_VoronoiVertex + * \author Gabriel Peyré + * \date 4-19-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_VoronoiVertex.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_VoronoiVertex.h" + +#ifndef GW_USE_INLINE + #include "GW_VoronoiVertex.inl" +#endif + +using namespace GW; + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex constructor +/** + * \author Gabriel Peyré + * \date 4-19-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_VoronoiVertex::GW_VoronoiVertex() +: GW_Vertex (), + pBaseVertex_ ( NULL ) +{ + /* NOTHING */ +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex destructor +/** + * \author Gabriel Peyré + * \date 4-19-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_VoronoiVertex::~GW_VoronoiVertex() +{ + GW_SmartCounter::CheckAndDelete( pBaseVertex_ ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex::GetBaseVertex +/** + * \return [GW_Vertex*] The base vertex. + * \author Gabriel Peyré + * \date 4-19-2003 + * + * Return the vertex on the original mesh. + */ +/*------------------------------------------------------------------------------*/ +GW_GeodesicVertex* GW_VoronoiVertex::GetBaseVertex() +{ + return pBaseVertex_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex::GetBaseVertex +/** +* \return [GW_Vertex*] The base vertex. +* \author Gabriel Peyré +* \date 4-19-2003 +* +* Return the vertex on the original mesh. +*/ +/*------------------------------------------------------------------------------*/ +const GW_GeodesicVertex* GW_VoronoiVertex::GetBaseVertex() const +{ + return pBaseVertex_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex::SetBaseVertex +/** + * \param pBaseVertex [GW_Vertex] The base vertex. + * \author Gabriel Peyré + * \date 4-19-2003 + * + * Set the base vertex. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiVertex::SetBaseVertex( GW_GeodesicVertex& BaseVertex ) +{ + GW_SmartCounter::CheckAndDelete( pBaseVertex_ ); + pBaseVertex_ = &BaseVertex; + pBaseVertex_->UseIt(); + /* copy the parameters of the base mesh */ + this->SetPosition( BaseVertex.GetPosition() ); + this->SetNormal( BaseVertex.GetNormal() ); +} + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_VoronoiVertex.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_VoronoiVertex.h.svn-base new file mode 100644 index 0000000..085ac1d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_VoronoiVertex.h.svn-base @@ -0,0 +1,106 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VoronoiVertex.h + * \brief Definition of class \c GW_VoronoiVertex + * \author Gabriel Peyré + * \date 4-19-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_VORONOIVERTEX_H_ +#define _GW_VORONOIVERTEX_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Vertex.h" +#include "GW_GeodesicVertex.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** \name a list of GW_VoronoiVertex */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::list T_VoronoiVertexList; +typedef T_VoronoiVertexList::iterator IT_VoronoiVertexList; +typedef T_VoronoiVertexList::reverse_iterator RIT_VoronoiVertexList; +typedef T_VoronoiVertexList::const_iterator CIT_VoronoiVertexList; +typedef T_VoronoiVertexList::const_reverse_iterator CRIT_VoronoiVertexList; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_VoronoiVertex */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_VoronoiVertexMap; +typedef T_VoronoiVertexMap::iterator IT_VoronoiVertexMap; +typedef T_VoronoiVertexMap::reverse_iterator RIT_VoronoiVertexMap; +typedef T_VoronoiVertexMap::const_iterator CIT_VoronoiVertexMap; +typedef T_VoronoiVertexMap::const_reverse_iterator CRIT_VoronoiVertexMap; +//@} + + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_VoronoiVertex + * \brief A vertex involved in a voronoi mesh. + * \author Gabriel Peyré + * \date 4-19-2003 + * + * Contains a pointer to a classical vertex. + */ +/*------------------------------------------------------------------------------*/ + +class GW_VoronoiVertex: public GW_Vertex +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_VoronoiVertex(); + virtual ~GW_VoronoiVertex(); + //@} + + GW_GeodesicVertex* GetBaseVertex(); + const GW_GeodesicVertex* GetBaseVertex() const; + void SetBaseVertex( GW_GeodesicVertex& BaseVertex ); + + //------------------------------------------------------------------------- + /** \name Graph management. */ + //------------------------------------------------------------------------- + //@{ + void AddNeighbor( GW_VoronoiVertex& Node ); + void RemoveNeighbor( GW_VoronoiVertex& Node ); + GW_Bool IsNeighbor( GW_VoronoiVertex& Node ); + IT_VoronoiVertexList BeginNeighborIterator(); + IT_VoronoiVertexList EndNeighborIterator(); + //@} + + +private: + + GW_GeodesicVertex* pBaseVertex_; + + /** data to build the graph before building the triangulation */ + T_VoronoiVertexList NeighborList_; + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_VoronoiVertex.inl" +#endif + + +#endif // _GW_VORONOIVERTEX_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_VoronoiVertex.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_VoronoiVertex.inl.svn-base new file mode 100644 index 0000000..b201910 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/GW_VoronoiVertex.inl.svn-base @@ -0,0 +1,113 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VoronoiVertex.inl + * \brief Inlined methods for \c GW_VoronoiVertex + * \author Gabriel Peyré + * \date 4-19-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_VoronoiVertex.h" + +namespace GW { + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex::AddNeighbor +/** +* \param Node [GW_VoronoiVertex&] The son node. +* \author Gabriel Peyré +* \date 5-15-2003 +* +* Add a new son to the list. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_VoronoiVertex::AddNeighbor( GW_VoronoiVertex& Node ) +{ + GW_ASSERT( !(this->IsNeighbor(Node)) ); + NeighborList_.push_back( &Node ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex::RemoveNeighbor +/** +* \param Node [GW_VoronoiVertex&] The son node. +* \author Gabriel Peyré +* \date 5-15-2003 +* +* Add a son to the list of sons. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_VoronoiVertex::RemoveNeighbor( GW_VoronoiVertex& Node ) +{ + NeighborList_.remove( &Node ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex::BeginNeighborIterator +/** +* \return [IT_VoronoiVertexList] The iterator. +* \author Gabriel Peyré +* \date 5-15-2003 +* +* begin iterator on the son list. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +IT_VoronoiVertexList GW_VoronoiVertex::BeginNeighborIterator() +{ + return NeighborList_.begin(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex::EndNeighborIterator +/** +* \return [IT_VoronoiVertexList] The iterator. +* \author Gabriel Peyré +* \date 5-15-2003 +* +* end iterator on the son list. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +IT_VoronoiVertexList GW_VoronoiVertex::EndNeighborIterator() +{ + return NeighborList_.end(); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex::IsNeighbor +/** + * \param Node [GW_VoronoiVertex&] The vertex. + * \return [GW_Bool] Answer + * \author Gabriel Peyré + * \date 5-15-2003 + * + * Is the given vertex a neighbor of us ? + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Bool GW_VoronoiVertex::IsNeighbor( GW_VoronoiVertex& Node ) +{ + for( IT_VoronoiVertexList it = this->BeginNeighborIterator(); it!=this->EndNeighborIterator(); ++it ) + { + GW_VoronoiVertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + if( pVert==&Node ) + return GW_True; + } + return GW_False; +} + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/gw_geodesic.vcproj.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/gw_geodesic.vcproj.svn-base new file mode 100644 index 0000000..ad7e20e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/gw_geodesic.vcproj.svn-base @@ -0,0 +1,314 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/stdafx.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/stdafx.cpp.svn-base new file mode 100644 index 0000000..509cef4 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/stdafx.cpp.svn-base @@ -0,0 +1,5 @@ +// stdafx.cpp : source file that includes just the standard includes +// gw_core.pch will be the pre-compiled header +// stdafx.obj will contain the pre-compiled type information + +#include "stdafx.h" diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/stdafx.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/stdafx.h.svn-base new file mode 100644 index 0000000..3ebf8f0 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/.svn/text-base/stdafx.h.svn-base @@ -0,0 +1,75 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file Stdafx.h + * \brief Include for precompiled header. + * \author Gabriel Peyré + * \date 10-26-2002 + */ +/*------------------------------------------------------------------------------*/ +#ifndef _GW_GEODESIC_STDAFX_H_ +#define _GW_GEODESIC_STDAFX_H_ + +#pragma once + +/* 'identifier' : identifier was truncated to 'number' characters in the debug information */ +#pragma warning( disable : 4786 ) + +//------------------------------------------------------------------------- +/** \name C++ STL */ +//------------------------------------------------------------------------- +//@{ +#include +#include +#include +#include +#include +#include +#include +using std::string; +using std::cerr; +using std::cout; +using std::endl; +//@} + +//------------------------------------------------------------------------- +/** \name classical ANSI c libraries */ +//------------------------------------------------------------------------- +//@{ +#include +#include +#include +#include +#include +#include +//#include +#include +//#include +#include +#include +//#include +#include +//#include +//#include +//@} + + +#include "../gw_core/GW_MathsWrapper.h" + +/*----------------------------------------------------------------------*/ +/* win32 #include */ +/*----------------------------------------------------------------------*/ + +#ifdef WIN32 + /** main win32 header */ +// #include +#endif // _USE_WIN32_ + + +#endif // _STDAFX_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicFace.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicFace.cpp new file mode 100644 index 0000000..599752d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicFace.cpp @@ -0,0 +1,119 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicFace.cpp + * \brief Definition of class \c GW_GeodesicFace + * \author Gabriel Peyré + * \date 4-12-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_GeodesicFace.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_GeodesicFace.h" + +#ifndef GW_USE_INLINE + #include "GW_GeodesicFace.inl" +#endif + +using namespace GW; + +GW_TriangularInterpolation_ABC::T_TriangulationInterpolationType GW_GeodesicFace::TriangulationInterpolationType_ = GW_TriangularInterpolation_ABC::kQuadraticTriangulationInterpolation; + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicFace constructor +/** + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_GeodesicFace::GW_GeodesicFace() +: GW_Face(), + pTriangularInterpolation_ ( NULL ) +{ + /* nothing */ +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicFace destructor +/** + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_GeodesicFace::~GW_GeodesicFace() +{ + GW_DELETE( pTriangularInterpolation_ ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicFace::SetUpTriangularInterpolation +/** + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Create a triangular interpolation if necessary, and initialize + * it. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicFace::SetUpTriangularInterpolation() +{ + if( pTriangularInterpolation_==NULL || pTriangularInterpolation_->GetType()!=TriangulationInterpolationType_ ) + { + GW_DELETE( pTriangularInterpolation_ ); + switch(TriangulationInterpolationType_) + { + case GW_TriangularInterpolation_ABC::kLinearTriangulationInterpolation: + pTriangularInterpolation_ = new GW_TriangularInterpolation_Linear; + break; + case GW_TriangularInterpolation_ABC::kQuadraticTriangulationInterpolation: + pTriangularInterpolation_ = new GW_TriangularInterpolation_Quadratic; + break; + case GW_TriangularInterpolation_ABC::kCubicTriangulationInterpolation: + GW_ASSERT( GW_False ); + break; + default: + GW_ASSERT( GW_False ); + pTriangularInterpolation_ = new GW_TriangularInterpolation_Quadratic; + } + } + pTriangularInterpolation_->SetUpTriangularInterpolation( *this ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicFace::ComputeGradient +/** +* \param v0 [GW_GeodesicVertex&] 1st vertex of local frame. +* \param v1 [GW_GeodesicVertex&] 2nd vertex. +* \param v2 [GW_GeodesicVertex&] 3rd vertex. +* \param x [GW_Float] x local coord. +* \param y [GW_Float] y local coord. +* \param dx [GW_Float&] x coord of the gradient in local coord. +* \param dy [GW_Float&] y coord of the gradient in local coord. +* \author Gabriel Peyré +* \date 5-2-2003 +* +* Compute the gradient at given point in local frame. +*/ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicFace::ComputeGradient( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, GW_Float x, GW_Float y, GW_Float& dx, GW_Float& dy ) +{ + GW_ASSERT( pTriangularInterpolation_!=NULL ); + pTriangularInterpolation_->ComputeGradient( v0, v1, v2, x, y, dx, dy ); +} + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicFace.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicFace.h new file mode 100644 index 0000000..588c1a6 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicFace.h @@ -0,0 +1,73 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicFace.h + * \brief Definition of class \c GW_GeodesicFace + * \author Gabriel Peyré + * \date 4-12-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_GEODESICFACE_H_ +#define _GW_GEODESICFACE_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Face.h" +#include "GW_TriangularInterpolation_Quadratic.h" +#include "GW_TriangularInterpolation_Linear.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_GeodesicFace + * \brief A face to make geodesic computations. + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Should contains geodesic vertex. + */ +/*------------------------------------------------------------------------------*/ + +class GW_GeodesicFace: public GW_Face +{ + +public: + + GW_GeodesicFace(); + virtual ~GW_GeodesicFace(); + + void SetUpTriangularInterpolation(); + void ComputeGradient( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Float x, GW_Float y, GW_Float& dx, GW_Float& dy ); + + static void SetTriangularInterpolationType( GW_TriangularInterpolation_ABC::T_TriangulationInterpolationType TriangulationInterpolationType ); + static GW_TriangularInterpolation_ABC::T_TriangulationInterpolationType GetTriangularInterpolationType(); + + GW_TriangularInterpolation_ABC* GetTriangularInterpolation(); + void SetTriangularInterpolation(GW_TriangularInterpolation_ABC& TriangularInterpolation); + +private: + + /** the interpolation type we should use */ + static GW_TriangularInterpolation_ABC::T_TriangulationInterpolationType TriangulationInterpolationType_; + /** the data for interpolation */ + GW_TriangularInterpolation_ABC* pTriangularInterpolation_; + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_GeodesicFace.inl" +#endif + + +#endif // _GW_GEODESICFACE_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicFace.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicFace.inl new file mode 100644 index 0000000..79fecbb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicFace.inl @@ -0,0 +1,89 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicFace.inl + * \brief Inlined methods for \c GW_GeodesicFace + * \author Gabriel Peyré + * \date 4-12-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_GeodesicFace.h" + +namespace GW { + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicFace::SetTriangularInterpolationType +/** + * \param TriangulationInterpolationType [GW_TriangularInterpolation_ABC::T_TriangulationInterpolationType] The type + * \author Gabriel Peyré + * \date 5-5-2003 + * + * Set the way interpolation is performed on triangles. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicFace::SetTriangularInterpolationType( GW_TriangularInterpolation_ABC::T_TriangulationInterpolationType TriangulationInterpolationType ) +{ + TriangulationInterpolationType_ = TriangulationInterpolationType; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicFace::GetTriangularInterpolationType +/** + * \return [GW_TriangularInterpolation_ABC::T_TriangulationInterpolationType] The mode. + * \author Gabriel Peyré + * \date 5-5-2003 + * + * Return the mode of interpolation. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_TriangularInterpolation_ABC::T_TriangulationInterpolationType GW_GeodesicFace::GetTriangularInterpolationType() +{ + return TriangulationInterpolationType_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicFace::GetTriangularInterpolation +/** + * \return [GW_TriangularInterpolation_ABC*] The interpolator. + * \author Gabriel Peyré + * \date 5-6-2003 + * + * Get the interpolator used. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_TriangularInterpolation_ABC* GW_GeodesicFace::GetTriangularInterpolation() +{ + return pTriangularInterpolation_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicFace::GetTriangularInterpolation +/** + * \param pTriangularInterpolation [GW_TriangularInterpolation_ABC*] The interpolator. + * \author Gabriel Peyré + * \date 5-6-2003 + * + * Set the interpolator used. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicFace::SetTriangularInterpolation(GW_TriangularInterpolation_ABC& TriangularInterpolation) +{ + GW_DELETE( pTriangularInterpolation_ ); + pTriangularInterpolation_ = &TriangularInterpolation; +} + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicMesh.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicMesh.cpp new file mode 100644 index 0000000..8fd03a8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicMesh.cpp @@ -0,0 +1,181 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicMesh.cpp + * \brief Definition of class \c GW_GeodesicMesh + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_GeodesicMesh.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_GeodesicMesh.h" + +#ifndef GW_USE_INLINE + #include "GW_GeodesicMesh.inl" +#endif + +using namespace GW; + +GW_Bool GW_GeodesicMesh::bUseUnfolding_ = GW_True; + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::ResetGeodesicMesh +/** + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Reset the flags of all vertex for a new fast marching + * computation. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicMesh::ResetGeodesicMesh() +{ + for( IT_VertexVector it=VertexVector_.begin(); it!=VertexVector_.end(); ++it ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) *it; + pVert->ResetGeodesicVertex(); + } + ActiveVertex_.clear(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::ResetParametrizationData +/** + * \author Gabriel Peyré + * \date 4-27-2003 + * + * Reset only the parametrization data of each vertex. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicMesh::ResetParametrizationData() +{ + for( IT_VertexVector it=VertexVector_.begin(); it!=VertexVector_.end(); ++it ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) *it; + pVert->ResetParametrizationData(); + } +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::PerformFastMarching +/** + * \param StartVertex [GW_GeodesicVertex&] The starting point. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Compute geodesic distance from a vertex to other one. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicMesh::PerformFastMarching( GW_GeodesicVertex* pStartVertex ) +{ + + this->SetUpFastMarching( pStartVertex ); + + // first time : set up the heap + std::make_heap( ActiveVertex_.begin(), ActiveVertex_.end(), GW_GeodesicVertex::CompareVertex ); + /* main loop */ + while( !this->PerformFastMarchingOneStep() ) + { } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::SetUpFastMarching +/** + * \param pStartVertex=NULL [GW_GeodesicVertex*] A start vertex to add. + * \author Gabriel Peyré + * \date 4-13-2003 + * + * Just initialize the fast marching process. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicMesh::SetUpFastMarching( GW_GeodesicVertex* pStartVertex ) +{ + GW_ASSERT( WeightCallback_!=NULL ); + + if( pStartVertex!=NULL ) + this->AddStartVertex( *pStartVertex ); + + std::make_heap( ActiveVertex_.begin(), ActiveVertex_.end(), GW_GeodesicVertex::CompareVertex ); + + bIsMarchingBegin_ = GW_True; + bIsMarchingEnd_ = GW_False; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::PerformFastMarchingFlush +/** + * \author Gabriel Peyré + * \date 4-13-2003 + * + * Continue the algorithm until it termins. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicMesh::PerformFastMarchingFlush() +{ + if( !bIsMarchingBegin_ ) + this->SetUpFastMarching(); + + /* main loop */ + while( !this->PerformFastMarchingOneStep() ) + { } +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::IsFastMarchingFinished +/** + * \return [GW_Bool] Response. + * \author Gabriel Peyré + * \date 4-13-2003 + * + * Is the algorhm finished ? + */ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_GeodesicMesh::IsFastMarchingFinished() +{ + return bIsMarchingEnd_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::GetRandomVertex +/** +* \return [GW_Vertex*] The vertex. NULL if it was impossible. +* \author Gabriel Peyré +* \date 4-14-2003 +* +* Get Return a vertex at random. +*/ +/*------------------------------------------------------------------------------*/ +GW_Vertex* GW_GeodesicMesh::GetRandomVertex(GW_Bool bForceFar) +{ + GW_U32 nNumber = 0; + GW_GeodesicVertex* pStartVertex = NULL; + while( pStartVertex==NULL ) + { + if( nNumber>=this->GetNbrVertex()/10 ) + return NULL; + GW_U32 nNumVert = (GW_U32) floor(GW_RAND*this->GetNbrVertex()); + pStartVertex = (GW_GeodesicVertex*) this->GetVertex( nNumVert ); + if( bForceFar==GW_True && pStartVertex->GetState()!=GW_GeodesicVertex::kFar ) + pStartVertex = NULL; + if( pStartVertex!=NULL && pStartVertex->GetFace()==NULL ) + pStartVertex = NULL; + nNumber++; + } + return pStartVertex; +} + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicMesh.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicMesh.h new file mode 100644 index 0000000..8f34099 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicMesh.h @@ -0,0 +1,157 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicMesh.h + * \brief Definition of class \c GW_GeodesicMesh + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_GEODESICMESH_H_ +#define _GW_GEODESICMESH_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Mesh.h" +#include "../gw_core/GW_Face.h" +#include "../gw_core/GW_FaceIterator.h" +#include "../gw_core/GW_VertexIterator.h" +#include "GW_GeodesicVertex.h" +#include "GW_GeodesicFace.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_GeodesicMesh + * \brief A mesh designed for computation of geodesic. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Overload class factory method to create \c GW_GeodesicVertex. + */ +/*------------------------------------------------------------------------------*/ + +class GW_GeodesicMesh: public GW_Mesh +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_GeodesicMesh(); + virtual ~GW_GeodesicMesh(); + //@} + + //------------------------------------------------------------------------- + /** \name Class factory methods. */ + //------------------------------------------------------------------------- + //@{ + virtual GW_Vertex& CreateNewVertex(); + virtual GW_Face& CreateNewFace(); + //@} + + //------------------------------------------------------------------------- + /** \name Fast marching computations. */ + //------------------------------------------------------------------------- + //@{ + void ResetGeodesicMesh(); + void ResetParametrizationData(); + void AddStartVertex( GW_GeodesicVertex& StartVert ); + void PerformFastMarching( GW_GeodesicVertex* pStartVertex=NULL ); + void SetUpFastMarching( GW_GeodesicVertex* pStartVertex=NULL ); + GW_Bool PerformFastMarchingOneStep(); + void PerformFastMarchingFlush(); + GW_Bool IsFastMarchingFinished(); + //@} + + void SetUseUnfolding( GW_Bool bUseUnfolding ); + GW_Bool GetUseUnfolding( ); + + //------------------------------------------------------------------------- + /** \name Callback management. */ + //------------------------------------------------------------------------- + //@{ + typedef GW_Float (*T_WeightCallbackFunction)( GW_GeodesicVertex& Vert ); + void RegisterWeightCallbackFunction( T_WeightCallbackFunction pFunc ); + typedef GW_Bool (*T_FastMarchingCallbackFunction)( GW_GeodesicVertex& Vert ); + void RegisterForceStopCallbackFunction( T_FastMarchingCallbackFunction pFunc ); + typedef void (*T_NewDeadVertexCallbackFunction)( GW_GeodesicVertex& Vert ); + void RegisterNewDeadVertexCallbackFunction( T_NewDeadVertexCallbackFunction pFunc ); + typedef GW_Bool (*T_VertexInsersionCallbackFunction)( GW_GeodesicVertex& Vert, GW_Float rNewDist ); + void RegisterVertexInsersionCallbackFunction( T_VertexInsersionCallbackFunction pFunc ); + typedef GW_Float (*T_HeuristicToGoalCallbackFunction)( GW_GeodesicVertex& Vert ); + void RegisterHeuristicToGoalCallbackFunction( T_HeuristicToGoalCallbackFunction pFunc ); + //@} + + virtual GW_Vertex* GetRandomVertex( GW_Bool bForceFar = GW_True ); + + static GW_Float BasicWeightCallback(GW_GeodesicVertex& Vert); + + +protected: + + /** should be filled with the starting point of the marching before + calling PerformFastMarching */ + T_GeodesicVertexVector ActiveVertex_; + + /** a function that specify the metric on the mesh */ + T_WeightCallbackFunction WeightCallback_; + /** the callback function used to test if we should terminate the fast marching or not */ + T_FastMarchingCallbackFunction ForceStopCallback_; + /** the callback function used to test when a new dead vertex is created */ + T_NewDeadVertexCallbackFunction NewDeadVertexCallback_; + /** a function called to know if we should insert this vertex */ + T_VertexInsersionCallbackFunction VertexInsersionCallback_; + /** a function called to give an heuristic for the remaining distance */ + T_HeuristicToGoalCallbackFunction HeuristicToGoalCallbackFunction_; + + /** just to controle interactive mode */ + GW_Bool bIsMarchingBegin_; + GW_Bool bIsMarchingEnd_; + + +private: + + GW_Float ComputeVertexDistance( GW_GeodesicFace& CurrentFace, GW_GeodesicVertex& CurrentVertex, + GW_GeodesicVertex& Vert1, GW_GeodesicVertex& Vert2, GW_GeodesicVertex& CurrentFront ); + + static GW_GeodesicVertex* UnfoldTriangle( GW_GeodesicFace& CurFace, GW_GeodesicVertex& v, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, GW_Float& dist, GW_Float& dot1, GW_Float& dot2); + + static GW_Float ComputeUpdate_SethianMethod( GW_Float d1, GW_Float d2, GW_Float a, GW_Float b, GW_Float dot, GW_Float F ); + static GW_Float ComputeUpdate_MatrixMethod( GW_Float d1, GW_Float d2, GW_Float a, GW_Float b, GW_Float dot, GW_Float F ); + + /** Do we use unfolding to correct problem with non acute angles ? */ + static GW_Bool bUseUnfolding_; + +}; + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_GeodesicMesh */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_GeodesicMeshVector; +typedef T_GeodesicMeshVector::iterator IT_GeodesicMeshVector; +typedef T_GeodesicMeshVector::reverse_iterator RIT_GeodesicMeshVector; +typedef T_GeodesicMeshVector::const_iterator CIT_GeodesicMeshVector; +typedef T_GeodesicMeshVector::const_reverse_iterator CRIT_GeodesicMeshVector; +//@} + + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_GeodesicMesh.inl" +#endif + + +#endif // _GW_GEODESICMESH_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicMesh.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicMesh.inl new file mode 100644 index 0000000..2ef7cdb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicMesh.inl @@ -0,0 +1,733 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicMesh.inl + * \brief Inlined methods for \c GW_GeodesicMesh + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_GeodesicMesh.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh constructor +/** + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicMesh::GW_GeodesicMesh() +: GW_Mesh(), + WeightCallback_ ( GW_GeodesicMesh::BasicWeightCallback ), + VertexInsersionCallback_ ( NULL ), + ForceStopCallback_ ( NULL ), + NewDeadVertexCallback_ ( NULL ), + HeuristicToGoalCallbackFunction_ ( NULL ), + bIsMarchingBegin_ ( GW_False ), + bIsMarchingEnd_ ( GW_False ) +{ + /* NOTHING */ +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh destructor +/** + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicMesh::~GW_GeodesicMesh() +{ + /* NOTHING */ +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::CreateNewVertex +/** +* \return [GW_Vertex&] The newly created vertex. +* \author Gabriel Peyré +* \date 4-9-2003 +* +* Allocate memory for a new vertex. You should overload this +* method +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vertex& GW_GeodesicMesh::CreateNewVertex() +{ + return *(new GW_GeodesicVertex); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::CreateNewFace +/** +* \return [GW_Face&] The newly created face. +* \author Gabriel Peyré +* \date 4-9-2003 +* +* Allocate memory for a new face. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Face& GW_GeodesicMesh::CreateNewFace() +{ + return *(new GW_GeodesicFace); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::AddStartVertex +/** + * \param StartVert [GW_GeodesicVertex&] The new starting point. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Add a new vertex as a starting point for the next fire. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicMesh::AddStartVertex( GW_GeodesicVertex& StartVert ) +{ + StartVert.SetFront( &StartVert ); + StartVert.SetDistance(0); + StartVert.SetState( GW_GeodesicVertex::kAlive ); + ActiveVertex_.push_back( &StartVert ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::BasicWeightCallback +/** + * \param Vert [GW_GeodesicVertex&] Current vertex. + * \return [GW_Float] 1 + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Just the constant function = 1. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_GeodesicMesh::BasicWeightCallback(GW_GeodesicVertex& Vert) +{ + return 1; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::RegisterForceStopCallbackFunction +/** + * \param pFunc [T_FastMarchingCallbackFunction] The function. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Set the function used to test if we should end the fast marching or not. + * The function return GW_False if the algorithm should be stopped. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicMesh::RegisterForceStopCallbackFunction( T_FastMarchingCallbackFunction pFunc ) +{ + ForceStopCallback_ = pFunc; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::RegisterWeightCallbackFunction +/** +* \param pFunc [T_WeightCallbackFunction] The function. +* \author Gabriel Peyré +* \date 4-10-2003 +* +* Set the function used to define the metric on the mesh. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicMesh::RegisterWeightCallbackFunction( T_WeightCallbackFunction pFunc ) +{ + GW_ASSERT( pFunc!=NULL ); + WeightCallback_ = pFunc; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::RegisterHeuristicToGoalCallbackFunction +/** + * \param pFunc [T_HeuristicToGoalCallbackFunction] Callback function. + * \author Gabriel Peyré + * \date 3-14-2004 + * + * Turn the propagation into an A* like. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicMesh::RegisterHeuristicToGoalCallbackFunction( T_HeuristicToGoalCallbackFunction pFunc ) +{ + HeuristicToGoalCallbackFunction_ = pFunc; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::PerformFastMarchingOneStep +/** + * \return [GW_Bool] Is the marching process finished ? + * \author Gabriel Peyré + * \date 4-13-2003 + * + * Just one update step of the marching algorithm. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Bool GW_GeodesicMesh::PerformFastMarchingOneStep() +{ + if( ActiveVertex_.empty() ) + return GW_True; + + GW_ASSERT( bIsMarchingBegin_ ); +// std::make_heap( ActiveVertex_.begin(), ActiveVertex_.end(), GW_GeodesicVertex::CompareVertex ); + + GW_GeodesicVertex* pCurVert = ActiveVertex_.front(); + GW_ASSERT( pCurVert!=NULL ); + std::pop_heap( ActiveVertex_.begin(), ActiveVertex_.end(), GW_GeodesicVertex::CompareVertex ); + ActiveVertex_.pop_back(); + pCurVert->SetState( GW_GeodesicVertex::kDead ); + + if( NewDeadVertexCallback_!=NULL ) + NewDeadVertexCallback_( *pCurVert ); + +#if 0 // just for debug + for( IT_GeodesicVertexVector it = ActiveVertex_.begin(); it!=ActiveVertex_.end(); ++it ) + GW_ASSERT( pCurVert->GetDistance()<=(*it)->GetDistance() ); +#endif + + for( GW_VertexIterator VertIt = pCurVert->BeginVertexIterator(); VertIt!=pCurVert->EndVertexIterator(); ++VertIt ) + { + GW_GeodesicVertex* pNewVert = (GW_GeodesicVertex*) *VertIt; + GW_ASSERT( pNewVert!=NULL ); + /* compute it's new value */ + + if( pCurVert->GetIsStoppingVertex() && !pNewVert->GetIsStoppingVertex() && pNewVert->GetState()==GW_GeodesicVertex::kFar ) + { + // this vertex is not allowed to add alive vertex that are not stopping. + } + else + { + /* compute it's new distance using neighborhood information */ + GW_Float rNewDistance = GW_INFINITE; + for( GW_FaceIterator FaceIt=pNewVert->BeginFaceIterator(); FaceIt!=pNewVert->EndFaceIterator(); ++FaceIt ) + { + GW_GeodesicFace* pFace = (GW_GeodesicFace*) *FaceIt; + GW_ASSERT( pFace!=NULL ); + GW_GeodesicVertex* pVert1 = (GW_GeodesicVertex*) pFace->GetNextVertex( *pNewVert ); + GW_ASSERT( pVert1!=NULL ); + GW_GeodesicVertex* pVert2 = (GW_GeodesicVertex*) pFace->GetNextVertex( *pVert1 ); + GW_ASSERT( pVert2!=NULL ); + + if( pVert1->GetDistance()> pVert2->GetDistance() ) + { + GW_GeodesicVertex* pTempVert = pVert1; + pVert1 = pVert2; + pVert2 = pTempVert; + } + rNewDistance = GW_MIN( rNewDistance, this->ComputeVertexDistance( *pFace, *pNewVert, *pVert1, *pVert2, *pCurVert->GetFront() ) ); + } + switch( pNewVert->GetState() ) { + case GW_GeodesicVertex::kFar: + /* ask to the callback if we should update this vertex and add it to the path */ + if( VertexInsersionCallback_==NULL || + VertexInsersionCallback_( *pNewVert,rNewDistance ) ) + { + pNewVert->SetDistance( rNewDistance ); + /* add the vertex to the heap */ + ActiveVertex_.push_back( pNewVert ); + std::push_heap( ActiveVertex_.begin(), ActiveVertex_.end(), GW_GeodesicVertex::CompareVertex ); + /* this one can be added to the heap */ + pNewVert->SetState( GW_GeodesicVertex::kAlive ); + pNewVert->SetFront( pCurVert->GetFront() ); + } + break; + case GW_GeodesicVertex::kAlive: + /* just update it's value */ + if( rNewDistance<=pNewVert->GetDistance() ) + { + /* possible overlap with old value */ + if( pCurVert->GetFront()!=pNewVert->GetFront() ) + pNewVert->GetFrontOverlapInfo().RecordOverlap( *pNewVert->GetFront(), pNewVert->GetDistance() ); + pNewVert->SetDistance( rNewDistance ); + pNewVert->SetFront( pCurVert->GetFront() ); + // hum, check if we can correct this (avoid recomputing the whole heap). + std::make_heap( ActiveVertex_.begin(), ActiveVertex_.end(), GW_GeodesicVertex::CompareVertex ); + } + else + { + /* possible overlap with new value */ + if( pCurVert->GetFront()!=pNewVert->GetFront() ) + pNewVert->GetFrontOverlapInfo().RecordOverlap( *pCurVert->GetFront(), rNewDistance ); + } + break; + case GW_GeodesicVertex::kDead: + /* inform the user if there is an overlap */ + if( pCurVert->GetFront()!=pNewVert->GetFront() ) + pNewVert->GetFrontOverlapInfo().RecordOverlap( *pCurVert->GetFront(), rNewDistance ); + break; + default: + GW_ASSERT( GW_False ); + } + } + } + + /* have we finished ? */ + bIsMarchingEnd_ = ActiveVertex_.empty(); + /* the user can force ending of the algorithm */ + if( ForceStopCallback_!=NULL && bIsMarchingEnd_==GW_False ) + bIsMarchingEnd_ = ForceStopCallback_(*pCurVert); + + return bIsMarchingEnd_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::ComputeVertexDistance +/** +* \param CurrentVertex [GW_GeodesicVertex&] The vertex to update. +* \param Vert1 [GW_GeodesicVertex&] It's 1st neighbor. +* \param Vert2 [GW_GeodesicVertex&] 2nd vertex. +* \return The value of the distance according to this triangle contribution. +* \author Gabriel Peyré +* \date 4-12-2003 +* +* Compute the update of a vertex from inside of a triangle. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_GeodesicMesh::ComputeVertexDistance( GW_GeodesicFace& CurrentFace, GW_GeodesicVertex& CurrentVertex, + GW_GeodesicVertex& Vert1, GW_GeodesicVertex& Vert2, GW_GeodesicVertex& CurrentFront ) +{ + GW_Float F = this->WeightCallback_( CurrentVertex ); + + if( Vert1.GetState()!=GW_GeodesicVertex::kFar || + Vert2.GetState()!=GW_GeodesicVertex::kFar ) + { + GW_Vector3D Edge1 = Vert1.GetPosition() - CurrentVertex.GetPosition(); + GW_Float b = Edge1.Norm(); + Edge1 /= b; + GW_Vector3D Edge2 = Vert2.GetPosition() - CurrentVertex.GetPosition(); + GW_Float a = Edge2.Norm(); + Edge2 /= a; + + GW_Float d1 = Vert1.GetDistance(); + GW_Float d2 = Vert2.GetDistance(); + + /* Set it if you want only to take in acount dead vertex + during the update step. */ + // #define USING_ONLY_DEAD + + +#ifndef USING_ONLY_DEAD + GW_Bool bVert1Usable = Vert1.GetState()!=GW_GeodesicVertex::kFar && Vert1.GetFront()==&CurrentFront; + GW_Bool bVert2Usable = Vert2.GetState()!=GW_GeodesicVertex::kFar && Vert2.GetFront()==&CurrentFront; + if( !bVert1Usable && bVert2Usable ) + { + /* only one point is a contributor */ + return d2 + a * F; + } + if( bVert1Usable && !bVert2Usable ) + { + /* only one point is a contributor */ + return d1 + b * F; + } + if( bVert1Usable && bVert2Usable ) + { +#else + GW_Bool bVert1Usable = Vert1.GetState()==GW_GeodesicVertex::kDead && Vert1.GetFront()==&CurrentFront; + GW_Bool bVert2Usable = Vert2.GetState()==GW_GeodesicVertex::kDead && Vert2.GetFront()==&CurrentFront; + if( !bVert1Usable && bVert2Usable ) + { + /* only one point is a contributor */ + return d2 + a * F; + } + if( bVert1Usable && !bVert2Usable ) + { + /* only one point is a contributor */ + return d1 + b * F; + } + if( bVert1Usable && bVert2Usable ) + { +#endif // USING_ONLY_DEAD + GW_Float dot = Edge1*Edge2; + + /* you can choose wether to use Sethian or my own derivation of the equation. + Basicaly, it gives the same answer up to normalization constants */ + #define USE_SETHIAN + + /* first special case for obtuse angles */ + if( dot<0 && bUseUnfolding_ ) + { + GW_Float c, dot1, dot2; + GW_GeodesicVertex* pVert = GW_GeodesicMesh::UnfoldTriangle( CurrentFace, CurrentVertex, Vert1, Vert2, c, dot1, dot2 ); + if( pVert!=NULL && pVert->GetState()!=GW_GeodesicVertex::kFar ) + { + GW_Float d3 = pVert->GetDistance(); + GW_Float t; // newly computed value + /* use the unfolded value */ +#ifdef USE_SETHIAN + t = GW_GeodesicMesh::ComputeUpdate_SethianMethod( d1, d3, c, b, dot1, F ); + t = GW_MIN( t, GW_GeodesicMesh::ComputeUpdate_SethianMethod( d3, d2, a, c, dot2, F ) ); +#else + t = GW_GeodesicMesh::ComputeUpdate_MatrixMethod( d1, d3, c, b, dot1, F ); + t = GW_MIN( t, GW_GeodesicMesh::ComputeUpdate_MatrixMethod( d3, d2, a, c, dot2, F ) ); +#endif + return t; + } + } + +#ifdef USE_SETHIAN + return GW_GeodesicMesh::ComputeUpdate_SethianMethod( d1, d2, a, b, dot, F ); +#else + return GW_GeodesicMesh::ComputeUpdate_MatrixMethod( d1, d2, a, b, dot, F ); +#endif + + } + } + + return GW_INFINITE; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::ComputeUpdate_SethianMethod +/** + * \param d1 [GW_Float] Distance value at 1st vertex. + * \param d2 [GW_Float] Distance value at 2nd vertex. + * \param a [GW_Float] Length of the 1st edge. + * \param b [GW_Float] Length of the 2nd edge. + * \param dot [GW_Float] Value of the dot product between the 2 edges. + * \return [GW_Float] The update value. + * \author Gabriel Peyré + * \date 5-26-2003 + * + * Compute the update value using Sethian's method. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_GeodesicMesh::ComputeUpdate_SethianMethod( GW_Float d1, GW_Float d2, GW_Float a, GW_Float b, GW_Float dot, GW_Float F ) +{ + GW_Float t = GW_INFINITE; + + GW_Float rCosAngle = dot; + GW_Float rSinAngle = sqrt( 1-dot*dot ); + + /* Sethian method */ + GW_Float u = d2-d1; // T(B)-T(A) +// GW_ASSERT( u>=0 ); + GW_Float f2 = a*a+b*b-2*a*b*rCosAngle; + GW_Float f1 = b*u*(a*rCosAngle-b); + GW_Float f0 = b*b*(u*u-F*F*a*a*rSinAngle*rSinAngle); + + /* discriminant of the quartic equation */ + GW_Float delta = f1*f1 - f0*f2; + + if( delta>=0 ) + { + if( GW_ABS(f2)>GW_EPSILON ) + { + /* there is a solution */ + t = (-f1 - sqrt(delta) )/f2; + /* test if we must must choose the other solution */ + if( t + GW_Float e1 = -( QD[0]*L[0] + QD[1]*L[1] ); // - + GW_Float e0 = QD[0]*D[0] + QD[1]*D[1] - F*F; // - F² + + GW_Float delta = e1*e1 - e0*e2; + + if( delta>=0 ) + { + if( GW_ABS(e2)>GW_EPSILON ) + { + /* there is a solution */ + t = (-e1 - sqrt(delta) )/e2; + /* upwind criterion : Q*(D-t*l)<=0, i.e. QD<=t*QL */ + if( tt*QL[0] || QD[1]>t*QL[1] ) + t = (-e1 + sqrt(delta) )/e2; // criterion not respected: choose bigger root. + } + else + { + if( e1!=0 ) + t = -e0/e1; + else + t = -GW_INFINITE; + } + } + else + t = -GW_INFINITE; + /* choose the update from the 2 vertex only if upwind criterion is met */ + if( t>=GW_MAX(d1,d2) && QD[0]<=t*QL[0] && QD[1]<=t*QL[1] ) + return t; + else + return GW_MIN(b*F+d1,a*F+d2); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::UnfoldTriangle +/** + * \param CurFace [GW_GeodesicFace&] Vertex to update. + * \param vert [GW_GeodesicVertex&] Current face. + * \param vert1 [GW_GeodesicVertex&] 1st neighbor. + * \param vert2 [GW_GeodesicVertex&] 2nd neighbor. + * \return [GW_GeodesicVertex*] The vertex. + * \author Gabriel Peyré + * \date 5-26-2003 + * + * Find a correct vertex to update \c v. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicVertex* GW_GeodesicMesh::UnfoldTriangle( GW_GeodesicFace& CurFace, GW_GeodesicVertex& vert, GW_GeodesicVertex& vert1, GW_GeodesicVertex& vert2, + GW_Float& dist, GW_Float& dot1, GW_Float& dot2 ) +{ + GW_Vector3D& v = vert.GetPosition(); + GW_Vector3D& v1 = vert1.GetPosition(); + GW_Vector3D& v2 = vert2.GetPosition(); + + GW_Vector3D e1 = v1-v; + GW_Float rNorm1 = ~e1; + e1 /= rNorm1; + GW_Vector3D e2 = v2-v; + GW_Float rNorm2 = ~e2; + e2 /= rNorm2; + + GW_Float dot = e1*e2; + GW_ASSERT( dot<0 ); + + /* the equation of the lines defining the unfolding region [e.g. line 1 : {x ; =0} ]*/ + GW_Vector2D eq1 = GW_Vector2D( dot, sqrt(1-dot*dot) ); + GW_Vector2D eq2 = GW_Vector2D(1,0); + + /* position of the 2 points on the unfolding plane */ + GW_Vector2D x1(rNorm1, 0 ); + GW_Vector2D x2 = eq1*rNorm2; + + /* keep track of the starting point */ + GW_Vector2D xstart1 = x1; + GW_Vector2D xstart2 = x2; + + GW_GeodesicVertex* pV1 = &vert1; + GW_GeodesicVertex* pV2 = &vert2; + GW_GeodesicFace* pCurFace = (GW_GeodesicFace*) CurFace.GetFaceNeighbor( vert ); + + + GW_U32 nNum = 0; + while( nNum<50 && pCurFace!=NULL ) + { + GW_GeodesicVertex* pV = (GW_GeodesicVertex*) pCurFace->GetVertex( *pV1, *pV2 ); + GW_ASSERT( pV!=NULL ); + + e1 = pV2->GetPosition() - pV1->GetPosition(); + GW_Float rNorm1 = ~e1; + e1 /= rNorm1; + e2 = pV->GetPosition() - pV1->GetPosition(); + GW_Float rNorm2 = ~e2; + e2 /= rNorm2; + /* compute the position of the new point x on the unfolding plane (via a rotation of -alpha on (x2-x1)/rNorm1 ) + | cos(alpha) sin(alpha)| + x = |-sin(alpha) cos(alpha)| * [x2-x1]*rNorm2/rNorm1 + x1 where cos(alpha)=dot + */ + GW_Vector2D vv = (x2 - x1)*rNorm2/rNorm1; + dot = e1*e2; + GW_Vector2D x = vv.Rotate( -acos(dot) ) + x1; + + + /* compute the intersection points. + We look for x=x1+lambda*(x-x1) or x=x2+lambda*(x-x2) with =0, so */ + GW_Float lambda11 = - (x1*eq1) / ( (x-x1)*eq1 ); // left most + GW_Float lambda12 = - (x1*eq2) / ( (x-x1)*eq2 ); // right most + GW_Float lambda21 = - (x2*eq1) / ( (x-x2)*eq1 ); // left most + GW_Float lambda22 = - (x2*eq2) / ( (x-x2)*eq2 ); // right most + GW_Bool bIntersect11 = (lambda11>=0) && (lambda11<=1); + GW_Bool bIntersect12 = (lambda12>=0) && (lambda12<=1); + GW_Bool bIntersect21 = (lambda21>=0) && (lambda21<=1); + GW_Bool bIntersect22 = (lambda22>=0) && (lambda22<=1); + if( bIntersect11 && bIntersect12 ) + { +// GW_ASSERT( !bIntersect21 && !bIntersect22 ); + /* we should unfold on edge [x x1] */ + pCurFace = (GW_GeodesicFace*) pCurFace->GetFaceNeighbor( *pV2 ); + pV2 = pV; + x2 = x; + } + else if( bIntersect21 && bIntersect22 ) + { +// GW_ASSERT( !bIntersect11 && !bIntersect12 ); + /* we should unfold on edge [x x2] */ + pCurFace = (GW_GeodesicFace*) pCurFace->GetFaceNeighbor( *pV1 ); + pV1 = pV; + x1 = x; + } + else + { + GW_ASSERT( bIntersect11 && !bIntersect12 && + !bIntersect21 && bIntersect22 ); + /* that's it, we have found the point */ + dist = ~x; + dot1 = x*xstart1 / (dist * ~xstart1); + dot2 = x*xstart2 / (dist * ~xstart2); + return pV; + } + nNum++; + } + + return NULL; +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::RegisterVertexInsersionCallbackFunction +/** + * \param pFunc [T_VertexInsersionCallbackFunction] New function. + * \author Gabriel Peyré + * \date 5-13-2003 + * + * Set the function we use when trying to insert a new vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicMesh::RegisterVertexInsersionCallbackFunction( T_VertexInsersionCallbackFunction pFunc ) +{ + VertexInsersionCallback_ = pFunc; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::RegisterNewDeadVertexCallbackFunction +/** +* \param pFunc [T_NewDeadVertexCallbackFunction] New function. +* \author Gabriel Peyré +* \date 5-13-2003 +* +* Set the function we use when a new dead vertex is set. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicMesh::RegisterNewDeadVertexCallbackFunction( T_NewDeadVertexCallbackFunction pFunc ) +{ + NewDeadVertexCallback_ = pFunc; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::SetUseUnfolding +/** + * \param bUseUnfolding [GW_Bool] Use it or not ? + * \author Gabriel Peyré + * \date 5-26-2003 + * + * Set wether to use or not the special handling of obtuse angles + * via unfolding. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicMesh::SetUseUnfolding( GW_Bool bUseUnfolding ) +{ + bUseUnfolding_ = bUseUnfolding; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicMesh::GetUseUnfolding +/** + * \return [GW_Bool] Answer. + * \author Gabriel Peyré + * \date 5-27-2003 + * + * Does the fast marching computations use unfolding of the obtuse angles ? + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Bool GW_GeodesicMesh::GetUseUnfolding() +{ + return bUseUnfolding_; +} + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicPath.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicPath.cpp new file mode 100644 index 0000000..96a002a --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicPath.cpp @@ -0,0 +1,378 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicPath.cpp + * \brief Definition of class \c GW_GeodesicPath + * \author Gabriel Peyré + * \date 4-10-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_GeodesicPath.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_GeodesicPath.h" + +#ifndef GW_USE_INLINE + #include "GW_GeodesicPath.inl" +#endif + +using namespace GW; + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPath::AddVertexToPath +/** + * \param Vert [GW_GeodesicVertex&] The vertex. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Helper method : add a vertex to path and compute next face. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicPath::AddVertexToPath( GW_GeodesicVertex& Vert ) +{ + pPrevFace_ = pCurFace_; + GW_Float rBestDistance = GW_INFINITE; + pCurFace_ = NULL; + GW_GeodesicVertex* pSelectedVert = NULL; + for( GW_VertexIterator it = Vert.BeginVertexIterator(); it!=Vert.EndVertexIterator(); ++it ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) *it; + if( pVert->GetDistance()GetDistance(); + pSelectedVert = pVert; + GW_GeodesicVertex* pVert1 = (GW_GeodesicVertex*) it.GetLeftVertex(); + GW_GeodesicVertex* pVert2 = (GW_GeodesicVertex*) it.GetRightVertex(); + if( pVert1!=NULL && pVert2!=NULL ) + { + if( pVert1->GetDistance()GetDistance() ) + pCurFace_ = (GW_GeodesicFace*) it.GetLeftFace(); + else + pCurFace_ = (GW_GeodesicFace*) it.GetRightFace(); + } + else if( pVert1!=NULL ) + { + pCurFace_ = (GW_GeodesicFace*) it.GetLeftFace(); + } + else + { + GW_ASSERT( pVert2!=NULL ); + pCurFace_ = (GW_GeodesicFace*) it.GetRightFace(); + } + } + } + GW_ASSERT( pCurFace_!=NULL ); + GW_ASSERT( pSelectedVert!=NULL ); + + GW_GeodesicPoint* pPoint = new GW_GeodesicPoint; + Path_.push_back( pPoint ); + pPoint->SetVertex1( Vert ); + pPoint->SetVertex2( *pSelectedVert ); + pPoint->SetCoord(1); + pPoint->SetCurFace( *pCurFace_ ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPath::InitPath +/** + * \param StartVert [GW_GeodesicVertex&] Starting point of the path. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Compute the first face to begin the search. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicPath::InitPath( GW_GeodesicVertex& StartVert ) +{ + this->ResetPath(); + this->AddVertexToPath( StartVert ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPath::AddNewPoint +/** + * \return [GW_I32] >0 if the path is ended. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Compute a new point and add it to the path. + */ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_GeodesicPath::AddNewPoint() +{ +// rStepSize_ = 1000; + GW_ASSERT( pCurFace_!=NULL ); + GW_ASSERT( !Path_.empty() ); + GW_GeodesicPoint* pPoint = Path_.back(); + GW_ASSERT( pPoint!=NULL ); + GW_GeodesicVertex* pVert1 = pPoint->GetVertex1(); + GW_ASSERT( pVert1!=NULL ); + GW_GeodesicVertex* pVert2 = pPoint->GetVertex2(); + GW_ASSERT( pVert2!=NULL ); + GW_GeodesicVertex* pVert3 = (GW_GeodesicVertex*) pCurFace_->GetVertex( *pVert1, *pVert2 ); + GW_ASSERT( pVert3!=NULL ); + + /* compute coords of the last point */ + T_SubPointVector& SubPointVector = pPoint->GetSubPointVector(); + GW_Float x,y,z; // barycentric coords of the point + /* the sub-points should be empty */ + GW_ASSERT( SubPointVector.empty() ); + /* we begin on an edge */ + x = pPoint->GetCoord(); + y = 1-x; + z = 0; + + GW_Float l1 = ~( pVert1->GetPosition() - pVert3->GetPosition() ); + GW_Float l2 = ~( pVert2->GetPosition() - pVert3->GetPosition() ); + + pCurFace_->SetUpTriangularInterpolation(); + + GW_U32 nNum = 0; + while( nNum<1000 ) // never stop, this is just to avoid infinite loop + { + nNum++; + GW_Float dx, dy; + + pCurFace_->ComputeGradient( *pVert1, *pVert2, *pVert3, x, y, dx, dy ); + + GW_Float l, a; + /* Try each kind of possible crossing. + The barycentric coords of the point is (x-l*dx/l1,y-l*dy/l2,z+l*(dx/l1+dy/l2)) */ + if( GW_ABS(dx)>GW_EPSILON ) + { + l = l1*x/dx; // position along the line + a = y-l*dy/l2; // coordonate with respect to v2 + if( l>0 && l<=rStepSize_ && 0<=a && a<=1 ) + { + /* the crossing occurs on [v2,v3] */ + GW_GeodesicPoint* pNewPoint = new GW_GeodesicPoint; + Path_.push_back( pNewPoint ); + pNewPoint->SetVertex1( *pVert2 ); + pNewPoint->SetVertex2( *pVert3 ); + pNewPoint->SetCoord( a ); + pPrevFace_ = pCurFace_; + if( pCurFace_->GetFaceNeighbor( *pVert2, *pVert3 )==NULL ) + { + pNewPoint->SetCurFace( *pCurFace_ ); + /* check if we are *really* on a boundarie of the mesh */ + GW_ASSERT( pCurFace_->GetEdgeNumber( *pVert2, *pVert3 )>=0 ); + /* we should stay on the same face */ + return 0; + } + pCurFace_ = (GW_GeodesicFace*) pCurFace_->GetFaceNeighbor( *pVert2, *pVert3 ); + GW_ASSERT( pCurFace_!=NULL ); + pNewPoint->SetCurFace( *pCurFace_ ); + /* test for ending */ + if( a<0.01 && pVert2->GetDistance()0.99 && pVert3->GetDistance()GW_EPSILON!=0 ) + { + l = l2*y/dy; // position along the line + a = x-l*dx/l1; // coordonate with respect to v1 + if( l>0 && l<=rStepSize_ && 0<=a && a<=1 ) + { + /* the crossing occurs on [v1,v3] */ + GW_GeodesicPoint* pNewPoint = new GW_GeodesicPoint; + Path_.push_back( pNewPoint ); + pNewPoint->SetVertex1( *pVert1 ); + pNewPoint->SetVertex2( *pVert3 ); + pNewPoint->SetCoord( a ); + pPrevFace_ = pCurFace_; + if( pCurFace_->GetFaceNeighbor( *pVert1, *pVert3 )==NULL ) + { + pNewPoint->SetCurFace( *pCurFace_ ); + /* check if we are *really* on a boundarie of the mesh */ + GW_ASSERT( pCurFace_->GetEdgeNumber( *pVert1, *pVert3 )>=0 ); + /* we should stay on the same face, the fact that pPrevFace_==pCurFace_ + will force to go on an edge */ + return 0; + } + pCurFace_ = (GW_GeodesicFace*) pCurFace_->GetFaceNeighbor( *pVert1, *pVert3 ); + GW_ASSERT( pCurFace_!=NULL ); + pNewPoint->SetCurFace( *pCurFace_ ); + /* test for ending */ + if( a<0.01 && pVert1->GetDistance()0.99 && pVert3->GetDistance()GW_EPSILON ) + { + l = -z/(dx/l1+dy/l2); // position along the line + a = x-l*dx/l1; // coordonate with respect to v1 + if( l>0 && l<=rStepSize_ && 0<=a && a<=1 ) + { + /* the crossing occurs on [v1,v2] */ + GW_GeodesicPoint* pNewPoint = new GW_GeodesicPoint; + Path_.push_back( pNewPoint ); + pNewPoint->SetVertex1( *pVert1 ); + pNewPoint->SetVertex2( *pVert2 ); + pNewPoint->SetCoord( a ); + pPrevFace_ = pCurFace_; + if( pCurFace_->GetFaceNeighbor( *pVert1, *pVert2 )==NULL ) + { + pNewPoint->SetCurFace( *pCurFace_ ); + /* check if we are *really* on a boundarie of the mesh */ + GW_ASSERT( pCurFace_->GetEdgeNumber( *pVert1, *pVert2 )>=0 ); + /* we should stay on the same face */ + return 0; + } + pCurFace_ = (GW_GeodesicFace*) pCurFace_->GetFaceNeighbor( *pVert1, *pVert2 ); + GW_ASSERT( pCurFace_!=NULL ); + pNewPoint->SetCurFace( *pCurFace_ ); + /* test for ending */ + if( a<0.01 && pVert1->GetDistance()0.99 && pVert2->GetDistance()GetDistance()GetDistance() ) + pSelectedVert = pVert2; + if( pVert3->GetDistance()GetDistance() ) + pSelectedVert = pVert3; + // just a check + this->AddVertexToPath( *pSelectedVert ); + GW_ASSERT( pCurFace_!=NULL ); + if( pSelectedVert->GetDistance()GetCoord()>1-GW_EPSILON ) + { + /* hum, problem, we are in a local minimum */ + return -1; + } + return 0; + } + + /* no intersection: we can advance */ + GW_Float xprev = x, yprev = y; + x = x - rStepSize_*dx/l1; + y = y - rStepSize_*dy/l2; + + if( x<0 || x>1 || y<0 || y>1 ) + { + GW_ASSERT( z==0 ); + + GW_GeodesicFace* pNextFace = (GW_GeodesicFace*) pCurFace_->GetFaceNeighbor( *pVert3 ); + + if( pNextFace==pPrevFace_ || pCurFace_->GetFaceNeighbor( *pVert3 )==NULL ) + { + /* special case : we must follow the edge. */ + GW_GeodesicVertex* pSelectedVert = pVert1; + if( pVert2->GetDistance()GetDistance() ) + pSelectedVert = pVert2; + if( pVert3->GetDistance()GetDistance() ) + pSelectedVert = pVert3; + // just a check + this->AddVertexToPath( *pSelectedVert ); + GW_ASSERT( pCurFace_!=NULL ); + if( pSelectedVert->GetDistance()GetCoord()>1-GW_EPSILON ) + { + /* hum, problem, we are in a local minimum */ + return -1; + } + // if( pSelectedVert==pVert3 ) + // GW_ASSERT( x==0 || y==0 ); + } + else + { + /* we should go on another face */ + pPrevFace_ = pCurFace_; + pCurFace_ = (GW_GeodesicFace*) pCurFace_->GetFaceNeighbor( *pVert3 ); + GW_ASSERT( pCurFace_!=NULL ); + GW_GeodesicPoint* pNewPoint = new GW_GeodesicPoint; + Path_.push_back( pNewPoint ); + pNewPoint->SetVertex1( *pVert1 ); + pNewPoint->SetVertex2( *pVert2 ); + pNewPoint->SetCurFace( *pCurFace_ ); + pNewPoint->SetCoord( xprev ); + } + return 0; + } + + SubPointVector.push_back( GW_Vector3D(x,y,1-x-y) ); + } + GW_ASSERT( GW_False ); + GW_GeodesicVertex* pSelectedVert = pVert1; + if( pVert2->GetDistance()GetDistance() ) + pSelectedVert = pVert2; + if( pVert3->GetDistance()GetDistance() ) + pSelectedVert = pVert3; + // just a check + this->AddVertexToPath( *pSelectedVert ); + GW_ASSERT( pCurFace_!=NULL ); + if( pSelectedVert->GetDistance()GetCoord()>1-GW_EPSILON ) + { + /* hum, problem, we are in a local minimum */ + return -1; + } + return 0; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPath::ComputePath +/** + * \param StartVert [GW_GeodesicVertex&] The starting point. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Compute the whole path. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicPath::ComputePath( GW_GeodesicVertex& StartVert, GW_U32 nMaxLength ) +{ + this->InitPath( StartVert ); + GW_U32 nNum = 0; + while( this->AddNewPoint()==0 && nNum T_GeodesicPointList; +typedef T_GeodesicPointList::iterator IT_GeodesicPointList; +typedef T_GeodesicPointList::reverse_iterator RIT_GeodesicPointList; +typedef T_GeodesicPointList::const_iterator CIT_GeodesicPointList; +typedef T_GeodesicPointList::const_reverse_iterator CRIT_GeodesicPointList; +//@} + + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_GeodesicPath + * \brief A geodesic path, composed of point located on edge. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Just a linked list of point. + */ +/*------------------------------------------------------------------------------*/ + +class GW_GeodesicPath +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_GeodesicPath(); + virtual ~GW_GeodesicPath(); + //@} + + T_GeodesicPointList& GetPointList(); + + void InitPath( GW_GeodesicVertex& StartVert ); + GW_I32 AddNewPoint(); + void ComputePath( GW_GeodesicVertex& StartVert, GW_U32 nMaxLength = GW_INFINITE ); + void ResetPath(); + + void SetStepSize( GW_Float rStepSize ); + GW_Float GetStepSize(); + +private: + + void AddVertexToPath( GW_GeodesicVertex& Vert ); + + T_GeodesicPointList Path_; + + GW_GeodesicFace* pCurFace_; + GW_GeodesicFace* pPrevFace_; + + GW_Float rStepSize_; + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_GeodesicPath.inl" +#endif + + +#endif // _GW_GEODESICPATH_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicPath.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicPath.inl new file mode 100644 index 0000000..ba3ce47 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicPath.inl @@ -0,0 +1,103 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicPath.inl + * \brief Inlined methods for \c GW_GeodesicPath + * \author Gabriel Peyré + * \date 4-10-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_GeodesicPath.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPath constructor +/** + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicPath::GW_GeodesicPath() +: pCurFace_ ( NULL ), + pPrevFace_ ( NULL ), + rStepSize_ ( 0.01f ) +{ + /* NOTHING */ +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPath destructor +/** + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicPath::~GW_GeodesicPath() +{ + this->ResetPath(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPath::GetPointList +/** + * \return [T_GeodesicPointList&] The list. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Get the list of point composing the path. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +T_GeodesicPointList& GW_GeodesicPath::GetPointList() +{ + return Path_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPath::SetStepSize +/** + * \param rStepSize [GW_Float] The new size. + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Set the size of the step. This mesured in barycentric coords. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicPath::SetStepSize( GW_Float rStepSize ) +{ + rStepSize_ = rStepSize; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPath::GetStepSize +/** + * \return [GW_Float] The size. + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Get the current size of the steps. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_GeodesicPath::GetStepSize() +{ + return rStepSize_; +} + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicPoint.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicPoint.cpp new file mode 100644 index 0000000..6fdfe4d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicPoint.cpp @@ -0,0 +1,59 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicPoint.cpp + * \brief Definition of class \c GW_GeodesicPoint + * \author Gabriel Peyré + * \date 4-10-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_GeodesicPoint.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_GeodesicPoint.h" +#include "GW_GeodesicFace.h" + +#ifndef GW_USE_INLINE + #include "GW_GeodesicPoint.inl" +#endif + +using namespace GW; + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint::SetCurFace +/** +* \param CurFace [GW_GeodesicFace&] The face. +* \author Gabriel Peyré +* \date 5-3-2003 +* +* Set the current face. +*/ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicPoint::SetCurFace( GW_GeodesicFace& CurFace ) +{ + pCurFace_ = &CurFace; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint::GetCurFace +/** +* \return [GW_GeodesicFace*] The face. +* \author Gabriel Peyré +* \date 5-3-2003 +* +* Get the current face. +*/ +/*------------------------------------------------------------------------------*/ +GW_GeodesicFace* GW_GeodesicPoint::GetCurFace() +{ + return pCurFace_; +} + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicPoint.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicPoint.h new file mode 100644 index 0000000..1a2b8ea --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicPoint.h @@ -0,0 +1,99 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicPoint.h + * \brief Definition of class \c GW_GeodesicPoint + * \author Gabriel Peyré + * \date 4-10-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_GEODESICPOINT_H_ +#define _GW_GEODESICPOINT_H_ + +#include "../gw_core/GW_Config.h" +#include "GW_GeodesicVertex.h" + +namespace GW { + +class GW_GeodesicFace; + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_Vector3D */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_SubPointVector; +typedef T_SubPointVector::iterator IT_SubPointVector; +typedef T_SubPointVector::reverse_iterator RIT_SubPointVector; +typedef T_SubPointVector::const_iterator CIT_SubPointVector; +typedef T_SubPointVector::const_reverse_iterator CRIT_SubPointVector; +//@} + + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_GeodesicPoint + * \brief A point on a geodesic path. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Must lie on a edge. + */ +/*------------------------------------------------------------------------------*/ + +class GW_GeodesicPoint +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_GeodesicPoint(); + virtual ~GW_GeodesicPoint(); + //@} + + void SetVertex1( GW_GeodesicVertex& Vert1 ); + void SetVertex2( GW_GeodesicVertex& Vert2 ); + void SetCoord( GW_Float rCoord ); + GW_GeodesicVertex* GetVertex1(); + GW_GeodesicVertex* GetVertex2(); + GW_Float GetCoord(); + + void SetCurFace( GW_GeodesicFace& Cur ); + GW_GeodesicFace* GetCurFace(); + + T_SubPointVector& GetSubPointVector(); + +private: + + /** starting point of the edge */ + GW_GeodesicVertex* pVert1_; + /** ending point */ + GW_GeodesicVertex* pVert2_; + /** coordinate of point is c*P1+(1-c)*P2 */ + GW_Float rCoord_; + + /** the current face */ + GW_GeodesicFace* pCurFace_; + + T_SubPointVector SubPointVector_; + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_GeodesicPoint.inl" +#endif + + +#endif // _GW_GEODESICPOINT_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicPoint.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicPoint.inl new file mode 100644 index 0000000..26d87ab --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicPoint.inl @@ -0,0 +1,175 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicPoint.inl + * \brief Inlined methods for \c GW_GeodesicPoint + * \author Gabriel Peyré + * \date 4-10-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_GeodesicPoint.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint constructor +/** + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicPoint::GW_GeodesicPoint() +: rCoord_ ( 0 ), + pVert1_ ( NULL ), + pVert2_ ( NULL ), + pCurFace_ ( NULL ) +{ + /* NOTHING */ +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint destructor +/** + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicPoint::~GW_GeodesicPoint() +{ + GW_SmartCounter::CheckAndDelete( pVert1_ ); + GW_SmartCounter::CheckAndDelete( pVert2_ ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint::SetVertex1 +/** + * \param Vert1 [GW_GeodesicVertex&] The first vertex. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Set the 1st vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicPoint::SetVertex1( GW_GeodesicVertex& Vert1 ) +{ + GW_SmartCounter::CheckAndDelete( pVert1_ ); + pVert1_ = &Vert1; + pVert1_->UseIt(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint::SetVertex2 +/** +* \param Vert1 [GW_GeodesicVertex&] The 2nd vertex. +* \author Gabriel Peyré +* \date 4-10-2003 +* +* Set the 2nd vertex. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicPoint::SetVertex2( GW_GeodesicVertex& Vert2 ) +{ + GW_SmartCounter::CheckAndDelete( pVert2_ ); + pVert2_ = &Vert2; + pVert2_->UseIt(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint::SetCoord +/** + * \param rCoord [GW_Float] The coordinate. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * The the barycentric coordinate of the point. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicPoint::SetCoord( GW_Float rCoord ) +{ + GW_ASSERT( rCoord>=0 ); + GW_ASSERT( rCoord<=1 ); + rCoord_ = rCoord; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint::GetVertex1 +/** + * \return [GW_GeodesicVertex*] The 1st vertex. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Get the 1st vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicVertex* GW_GeodesicPoint::GetVertex1() +{ + return pVert1_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint::GetVertex2 +/** +* \return [GW_GeodesicVertex*] The 2nd vertex. +* \author Gabriel Peyré +* \date 4-10-2003 +* +* Get the 2nd vertex. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicVertex* GW_GeodesicPoint::GetVertex2() +{ + return pVert2_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint::GetCoord +/** + * \return [GW_Float] The coordinate. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Get the barycentric coordinate. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_GeodesicPoint::GetCoord() +{ + return rCoord_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicPoint::GetSubPointVector +/** + * \return [T_SubPointVector&] The vector. + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Get the vector of sub-points + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +T_SubPointVector& GW_GeodesicPoint::GetSubPointVector() +{ + return SubPointVector_; +} + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicVertex.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicVertex.cpp new file mode 100644 index 0000000..5258d64 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicVertex.cpp @@ -0,0 +1,157 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicVertex.cpp + * \brief Definition of class \c GW_GeodesicVertex + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_GeodesicVertex.cpp (c) Gabriel Peyré 2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_GeodesicVertex.h" +#include "GW_VoronoiVertex.h" + +#ifndef GW_USE_INLINE + #include "GW_GeodesicVertex.inl" +#endif + +using namespace GW; + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::SetStoppingVertex +/** + * \param bIsStoppingVertex [GW_Bool] Yes/No + * \author Gabriel Peyré + * \date 4-26-2003 + * + * Set on/off stopping criterion. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicVertex::SetStoppingVertex( GW_Bool bIsStoppingVertex ) +{ + bIsStoppingVertex_ = bIsStoppingVertex; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::GetIsStoppingVertex +/** + * \return [GW_Bool] Stopping state. + * \author Gabriel Peyré + * \date 4-26-2003 + * + * Get the stopping vertex state. + */ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_GeodesicVertex::GetIsStoppingVertex() +{ + return bIsStoppingVertex_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::AddParameterVertex +/** + * \param VornoiVert [GW_VoronoiVertex&] The corresponding voronoi vertex. + * \param rParam [GW_Float] The parameter. + * \author Gabriel Peyré + * \date 4-26-2003 + * + * Add a parameter value. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicVertex::AddParameterVertex( GW_VoronoiVertex& VornoiVert, GW_Float rParam ) +{ + if( pParameterVert_[0]==NULL ) + { + pParameterVert_[0] = &VornoiVert; + rParameter_[0] = rParam; + } + else if( pParameterVert_[1]==NULL ) + { + pParameterVert_[1] = &VornoiVert; + rParameter_[1] = rParam; + } + else if( pParameterVert_[2]==NULL ) + { + pParameterVert_[2] = &VornoiVert; + rParameter_[2] = rParam; + } + else + { +// GW_ASSERT(GW_False); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::GetParameterVertex +/** + * \param nNum [GW_U32] The number of the parameter. + * \param rParam [GW_Float&] Retrun value : the parameter. + * \return [GW_VoronoiVertex*] The corresponding vertex. + * \author Gabriel Peyré + * \date 4-26-2003 + * + * Return the value of a given parameter. + */ +/*------------------------------------------------------------------------------*/ +GW_VoronoiVertex* GW_GeodesicVertex::GetParameterVertex( GW_U32 nNum, GW_Float& rParam ) +{ + GW_ASSERT( nNum<3 ); + rParam = rParameter_[nNum]; + return pParameterVert_[nNum]; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::SetParameterVertex +/** + * \param nNum [GW_U32] The number of the parameter. + * \param rParam [GW_Float] The value. + * \author Gabriel Peyré + * \date 4-27-2003 + * + * Set the value of a given parameter. You should first add the + * given vertex via \c + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicVertex::SetParameterVertex( GW_U32 nNum, GW_Float rParam ) +{ + GW_ASSERT( nNum<3 ); + GW_ASSERT( pParameterVert_[nNum]!=NULL ); + rParameter_[nNum] = rParam; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::SetParameterVertex +/** + * \param a [GW_Float] 1st param + * \param b [GW_Float] 2nd param + * \param c [GW_Float] 3rd param + * \author Gabriel Peyré + * \date 4-28-2003 + * + * Set the three parameters in one time. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicVertex::SetParameterVertex( GW_Float a, GW_Float b, GW_Float c ) +{ + this->SetParameterVertex( 0, a ); + this->SetParameterVertex( 1, b ); + this->SetParameterVertex( 2, c ); +} + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicVertex.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicVertex.h new file mode 100644 index 0000000..e6d16c0 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicVertex.h @@ -0,0 +1,216 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicVertex.h + * \brief Definition of class \c GW_GeodesicVertex + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_GEODESICVERTEX_H_ +#define _GW_GEODESICVERTEX_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Vertex.h" + +namespace GW { + +class GW_VoronoiVertex; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_GeodesicVertex + * \brief A vertex that contains information to perform geodesic computations. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Contains computed distance, and current front. + */ +/*------------------------------------------------------------------------------*/ + +class GW_GeodesicVertex: public GW_Vertex +{ + +public: + + enum T_GeodesicVertexState + { + kFar, + kAlive, + kDead + }; + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_GeodesicVertex(); + virtual ~GW_GeodesicVertex(); + //@} + + //------------------------------------------------------------------------- + /** \name Accessors. */ + //------------------------------------------------------------------------- + //@{ + GW_Float GetDistance(); + void SetDistance( GW_Float rDistance ); + void SetState( T_GeodesicVertexState nState ); + T_GeodesicVertexState GetState(); + GW_GeodesicVertex* GetFront(); + void SetFront( GW_GeodesicVertex* pFront ); + //@} + + void ResetGeodesicVertex(); + void ResetParametrizationData(); + + void SetBoundaryReached( GW_Bool bBoundaryReached = GW_True ); + GW_Bool GetBoundaryReached(); + + static GW_Bool CompareVertex(GW_GeodesicVertex* pVert1, GW_GeodesicVertex* pVert2); + + //------------------------------------------------------------------------- + /** \name Parametrization helpers. */ + //------------------------------------------------------------------------- + //@{ + void SetStoppingVertex( GW_Bool bIsStoppingVertex ); + GW_Bool GetIsStoppingVertex(); + void AddParameterVertex( class GW_VoronoiVertex& VornoiVert, GW_Float rParam ); + void SetParameterVertex( GW_U32 nNum, GW_Float rParam ); + void SetParameterVertex( GW_Float a, GW_Float b, GW_Float c ); + GW_VoronoiVertex* GetParameterVertex( GW_U32 nNum, GW_Float& pParam ); + //@} + + static void ComputeFrontIntersection( GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, GW_Vector3D* pInter, GW_Float* pLambda ); + static void ComputeFrontIntersection( GW_GeodesicVertex& v1, GW_Float d1, GW_GeodesicVertex& v2, GW_Float d2, GW_Vector3D* pInter, GW_Float* pLambda ); + + /** overlap management */ + class T_FrontOverlapInfo + { + public: + GW_GeodesicVertex* pFront1_; + GW_Float rDist1_; + GW_GeodesicVertex* pFront2_; + GW_Float rDist2_; + T_FrontOverlapInfo( GW_GeodesicVertex* pFront1 = NULL, GW_Float rDist1 = GW_INFINITE ) + : pFront1_ ( pFront1 ), + pFront2_ ( NULL ), + rDist1_ ( rDist1 ), + rDist2_ ( GW_INFINITE ) + { + /* NOTHING */ + } + T_FrontOverlapInfo& operator= (const T_FrontOverlapInfo& c) + { + pFront1_ = c.pFront1_; + pFront2_ = c.pFront2_; + rDist1_ = c.rDist1_; + rDist2_ = c.rDist2_; + return *this; + } + void RecordOverlap( GW_GeodesicVertex& front, GW_Float dist ) + { + if( pFront1_==NULL ) + { + pFront1_ = &front; + rDist1_ = dist; + } + else if( pFront1_==&front ) + rDist1_ = GW_MIN( dist, rDist1_ ); + else if( pFront2_==&front ) + rDist2_ = GW_MIN( dist, rDist2_ ); + else + { + pFront2_ = &front; + rDist2_ = GW_MIN( dist, rDist2_ ); + } + } + void Reset() + { + pFront1_ = NULL; + pFront2_ = NULL; + rDist1_ = GW_INFINITE; + rDist2_ = GW_INFINITE; + } + }; + T_FrontOverlapInfo& GetFrontOverlapInfo() + { + return FrontOverlapInfo_; + } + +private: + + /** current distance */ + GW_Float rDistance_; + /** state of the vertex : can be far/alive/dead */ + T_GeodesicVertexState nState_; + /** The vertex from which the front this vertex is in started. + Can be \c NULL if this vertex hasn't be reached by a front. */ + GW_GeodesicVertex* pFront_; + + + //------------------------------------------------------------------------- + /** \name specific for parametrization computation. */ + //------------------------------------------------------------------------- + //@{ + GW_Float rParameter_[3]; + GW_VoronoiVertex* pParameterVert_[3]; + GW_Bool bIsStoppingVertex_; + GW_Bool bBoundaryReached_; + //@} + + /** to store overlap information */ + T_FrontOverlapInfo FrontOverlapInfo_; + +}; + + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_GeodesicVertex */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_GeodesicVertexVector; +typedef T_GeodesicVertexVector::iterator IT_GeodesicVertexVector; +typedef T_GeodesicVertexVector::reverse_iterator RIT_GeodesicVertexVector; +typedef T_GeodesicVertexVector::const_iterator CIT_GeodesicVertexVector; +typedef T_GeodesicVertexVector::const_reverse_iterator CRIT_GeodesicVertexVector; +//@} + + +/*------------------------------------------------------------------------------*/ +/** \name a list of GW_GeodesicVertex */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::list T_GeodesicVertexList; +typedef T_GeodesicVertexList::iterator IT_GeodesicVertexList; +typedef T_GeodesicVertexList::reverse_iterator RIT_GeodesicVertexList; +typedef T_GeodesicVertexList::const_iterator CIT_GeodesicVertexList; +typedef T_GeodesicVertexList::const_reverse_iterator CRIT_GeodesicVertexList; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_GeodesicVertex */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_GeodesicVertexMap; +typedef T_GeodesicVertexMap::iterator IT_GeodesicVertexMap; +typedef T_GeodesicVertexMap::reverse_iterator RIT_GeodesicVertexMap; +typedef T_GeodesicVertexMap::const_iterator CIT_GeodesicVertexMap; +typedef T_GeodesicVertexMap::const_reverse_iterator CRIT_GeodesicVertexMap; +//@} + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_GeodesicVertex.inl" +#endif + + +#endif // _GW_GEODESICVERTEX_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicVertex.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicVertex.inl new file mode 100644 index 0000000..2a8bfa0 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeodesicVertex.inl @@ -0,0 +1,328 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicVertex.inl + * \brief Inlined methods for \c GW_GeodesicVertex + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_GeodesicVertex.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex constructor +/** + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicVertex::GW_GeodesicVertex() +: GW_Vertex (), + rDistance_ ( GW_INFINITE ), + nState_ ( kFar ), + pFront_ ( NULL ), + bIsStoppingVertex_ ( GW_False ), + bBoundaryReached_ ( GW_False ) +{ + pParameterVert_[0] = pParameterVert_[1] = pParameterVert_[2] = NULL; + rParameter_[0] = rParameter_[1] = rParameter_[2] = 0; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex destructor +/** + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicVertex::~GW_GeodesicVertex() +{ + /* NOTHING */ +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::GetDistance +/** + * \return [GW_Float] Current distance. If the vertex is not "Dead", then it is not reliable. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Get the current distance. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_GeodesicVertex::GetDistance() +{ + return rDistance_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::SetDistance +/** + * \param rDistance [GW_Float] Current distance. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Set the current distance. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicVertex::SetDistance( GW_Float rDistance ) +{ + rDistance_ = rDistance; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::SetState +/** + * \param nState [T_GeodesicVertexState] The new state. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Set the state of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicVertex::SetState( T_GeodesicVertexState nState ) +{ + nState_ = nState; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::GetState +/** + * \return [T_GeodesicVertexState] The current state. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Return the current state of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicVertex::T_GeodesicVertexState GW_GeodesicVertex::GetState() +{ + return nState_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::GetFront +/** + * \return [GW_GeodesicVertex*] \c NULL if the vertex hasn't already been reached by a front. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Get the vertex from which the front was started. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_GeodesicVertex* GW_GeodesicVertex::GetFront() +{ + return pFront_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::SetFront +/** + * \param pFront [GW_GeodesicVertex*] The vertex from which the front started. + * \author Gabriel Peyré + * \date 4-9-2003 + * + * Set the front to which this vertex belongs. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicVertex::SetFront( GW_GeodesicVertex* pFront ) +{ + pFront_ = pFront; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::CompareVertex +/** + * \param pVert1 [GW_GeodesicVertex*] 1st vertex. + * \param pVert2 [GW_GeodesicVertex*] 2nd vertex. + * \return [GW_Bool] True if distance of the 1st mesh is < to the one of the 2nd. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Compare the distance of the 2 vertex. Used by the heap sorter. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Bool GW_GeodesicVertex::CompareVertex(GW_GeodesicVertex* pVert1, GW_GeodesicVertex* pVert2) +{ + return pVert1->GetDistance()>pVert2->GetDistance(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::ResetGeodesicVertex +/** + * \author Gabriel Peyré + * \date 4-26-2003 + * + * Reset the datas for geodesic computations. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicVertex::ResetGeodesicVertex() +{ + rDistance_ = GW_INFINITE; + nState_ = kFar; + pFront_ = NULL; + bIsStoppingVertex_ = GW_False; + FrontOverlapInfo_.Reset(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::ResetParametrizationData +/** + * \author Gabriel Peyré + * \date 4-27-2003 + * + * Reset only the data relative to parametrization. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicVertex::ResetParametrizationData() +{ + pParameterVert_[0] = pParameterVert_[1] = pParameterVert_[2] = NULL; + rParameter_[0] = rParameter_[1] = rParameter_[2] = 0; + bBoundaryReached_ = GW_False; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::SetBoundaryReached +/** + * \param bBoundaryReached [GW_Bool] Was it reached ? + * \author Gabriel Peyré + * \date 4-30-2003 + * + * Is the vertex a boundary one reached by a parametrizing front ? + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicVertex::SetBoundaryReached( GW_Bool bBoundaryReached ) +{ + bBoundaryReached_ = bBoundaryReached; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::GetBoundaryReached +/** + * \return [GW_Bool] Answer. + * \author Gabriel Peyré + * \date 4-30-2003 + * + * Reached on a boundary ? + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Bool GW_GeodesicVertex::GetBoundaryReached() +{ + return bBoundaryReached_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::ComputeFrontIntersection +/** + * \param v1 [GW_GeodesicVertex&] 1st vertex. + * \param v2 [GW_GeodesicVertex&] 2nd vertex. + * \param pInter [GW_Vector3D*] Location of intersection. + * \param pLambda [GW_Float*] Location in barycentric coord. + * \author Gabriel Peyré + * \date 5-30-2003 + * + * Compute the location of intersection of two front on a edge. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicVertex::ComputeFrontIntersection( GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Vector3D* pInter, GW_Float* pLambda ) +{ + GW_GeodesicVertex* pFront1 = v1.GetFront(); GW_ASSERT( pFront1!=NULL ); + GW_GeodesicVertex* pFront2 = v2.GetFront(); GW_ASSERT( pFront2!=NULL ); + /* retrieve ovelap info */ + GW_Float d1 = v1.GetDistance(); + T_FrontOverlapInfo& info1 = v1.GetFrontOverlapInfo(); + GW_GeodesicVertex* pF1 = info1.pFront1_; + GW_Float d2_1 = info1.rDist1_; + if( pF1!=pFront2 ) + { + pF1 = info1.pFront2_; + d2_1 = info1.rDist2_; + } + + GW_Float d2 = v2.GetDistance(); + T_FrontOverlapInfo& info2 = v2.GetFrontOverlapInfo(); + GW_GeodesicVertex* pF2 = info2.pFront1_; + GW_Float d1_2 = info2.rDist1_; + if( pF2!=pFront1 ) + { + pF2 = info2.pFront2_; + d1_2 = info2.rDist2_; + } + + /* test if overlap is usable */ + if( pF1==pFront2 && pF2==pFront1 ) + { + /* we search for a position x in [0,1] such that d1+x*(d1_2-d1)=d2_1+x*(d2-d2_1). Then barycentric coord is lambda=x/d */ + GW_Float lambda = 1 - (d2_1-d1)/(d1_2 + d2_1 - d1 - d2); + GW_CLAMP( lambda, 0,1 ); + if( pLambda!=NULL ) + *pLambda = lambda; + if( pInter!=NULL ) + *pInter = v1.GetPosition()*lambda + v2.GetPosition()*(1-lambda); + } + else // use classical extrapolation + { +// cout << "missed" << endl; + GW_GeodesicVertex::ComputeFrontIntersection( v1, d1, v2, d2, pInter, pLambda ); + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicVertex::ComputeFrontIntersection +/** +* \param v1 [GW_GeodesicVertex&] 1st vertex. +* \param v2 [GW_GeodesicVertex&] 2nd vertex. +* \param pInter [GW_Vector3D*] Location of intersection. +* \param pLambda [GW_Float*] Location in barycentric coord. +* \author Gabriel Peyré +* \date 5-30-2003 +* +* Compute the location of intersection of two front on a edge. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicVertex::ComputeFrontIntersection( GW_GeodesicVertex& v1, GW_Float d1, GW_GeodesicVertex& v2, GW_Float d2, GW_Vector3D* pInter, GW_Float* pLambda ) +{ + GW_Float d = ~( v1.GetPosition() - v2.GetPosition() ); + /* we search for a position x in [0,d] such that d1+x=d2+d-x. Then barycentric coord is lambda=x/d */ + GW_Float lambda = 1 - 0.5*(d+d2-d1)/d; + GW_CLAMP( lambda, 0,1 ); + if( pLambda!=NULL ) + *pLambda = lambda; + if( pInter!=NULL ) + *pInter = v1.GetPosition()*lambda + v2.GetPosition()*(1-lambda); +} + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeometryAtlas.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeometryAtlas.cpp new file mode 100644 index 0000000..26475f0 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeometryAtlas.cpp @@ -0,0 +1,273 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeometryAtlas.cpp + * \brief Definition of class \c GW_GeometryAtlas + * \author Gabriel Peyré + * \date 2-4-2004 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_GeometryAtlas.cpp(c) Gabriel Peyré2004"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_GeometryAtlas.h" + +#ifndef GW_USE_INLINE + #include "GW_GeometryAtlas.inl" +#endif + +using namespace GW; + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeometryAtlas constructor +/** + * \author Gabriel Peyré + * \date 2-4-2004 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_GeometryAtlas::GW_GeometryAtlas() +{ + /* NOTHING */ +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeometryAtlas destructor +/** + * \author Gabriel Peyré + * \date 2-4-2004 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_GeometryAtlas::~GW_GeometryAtlas() +{ + for( IT_GeometryCellVector it = CellVector_.begin(); it!=CellVector_.end(); ++it ) + GW_DELETE(*it); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeometryAtlas::InitSampling +/** + * \param CyclicPositionCollection [std::vector] The position of each base point on each polygon. + * \author Gabriel Peyré + * \date 2-4-2004 + * + * Initialize the sampling position of each point. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeometryAtlas::InitSampling( std::vector& CyclicPositionCollection, GW_U32 n ) +{ + /* delete preivous data */ + for( IT_GeometryCellVector it = CellVector_.begin(); it!=CellVector_.end(); ++it ) + GW_DELETE(*it); + CellVector_.clear(); + CellGroupVector_.clear(); + + for( std::vector::iterator it = CyclicPositionCollection.begin(); + it!=CyclicPositionCollection.end(); ++it ) + { + T_TrissectorInfoVector& TrissectorVector = *it; + T_GeometryCellVector CurCellGroup; + + /** create the polygon */ + GW_Vector3D Center(0,0,0); // center is at origin + GW_TrissectorInfo* tr_prev = NULL; + for( IT_TrissectorInfoVector it = TrissectorVector.begin(); it!=TrissectorVector.end(); ++it ) + { + GW_TrissectorInfo* tr = &(*it); + GW_TrissectorInfo* tr_next = NULL; + IT_TrissectorInfoVector it2 = it; it2++; + if( it2!=TrissectorVector.end() ) + tr_next = &(*it2); + else + tr_next = &(TrissectorVector.front()); + if( tr_prev==NULL ) + tr_prev = &(TrissectorVector.back()); + GW_GeometryCell* pNewCell = new GW_GeometryCell; + GW_Vector3D v1 = tr->GetPosition(); + GW_Vector3D v2 = GW_Vector2D( (tr->GetPosition()+tr_next->GetPosition())*0.5 ); + GW_Vector3D v3 = Center; + GW_Vector3D v4 = GW_Vector2D( (tr->GetPosition()+tr_prev->GetPosition())*0.5 ); + pNewCell->InitSampling( v1, v2, v3, v4 , n, n ); + + CellVector_.push_back(pNewCell); // add to global cell list + CurCellGroup.push_back(pNewCell); // add to current group + tr_prev = tr; + } + + + CellGroupVector_.push_back(CurCellGroup); + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeometryAtlas::PositionateVertex +/** + * \param ParamMeshVector [T_MeshVector&] Parameter spaces + * \param RealMeshVector [T_MeshVector&] Real 3D position + * \author Gabriel Peyré + * \date 2-4-2004 + * + * Positionate each point on the grid + */ +/*------------------------------------------------------------------------------*/ +void GW_GeometryAtlas::PositionateVertex( T_MeshVector& ParamMeshVector, T_MeshVector& RealMeshVector ) +{ + GW_ASSERT( ParamMeshVector.size()==RealMeshVector.size() ); + GW_ASSERT( ParamMeshVector.size()==CellGroupVector_.size() ); + + IT_MeshVector it_param = ParamMeshVector.begin(); + IT_MeshVector it_real = RealMeshVector.begin(); + std::vector::iterator it_cellsgroup = CellGroupVector_.begin(); + while( it_param!=ParamMeshVector.end() && it_real!=RealMeshVector.end() && it_cellsgroup!=CellGroupVector_.end()) + { + GW_Mesh* pParamMesh = *it_param; + GW_Mesh* pRealMesh = *it_real; + T_GeometryCellVector& GeometryVector = *it_cellsgroup; + // positionate each square patch + for( IT_GeometryCellVector it_cell=GeometryVector.begin(); it_cell!=GeometryVector.end(); ++it_cell ) + { + GW_GeometryCell* pCell = *it_cell; + pCell->InterpolateAllPositions( *pParamMesh, *pRealMesh ); + } + it_param++; + it_real++; + it_cellsgroup++; + } + +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeometryAtlas::SmoothSampling +/** +* \param CyclicPositionCollection [std::vector] collection of cells. +* \author Gabriel Peyré +* \date 2-4-2004 +* +* Smooth the sampling into a conformal mapping. +*/ +/*------------------------------------------------------------------------------*/ +void GW_GeometryAtlas::SmoothSampling( GW_U32 nNbrIter ) +{ + for( std::vector::iterator it = CellGroupVector_.begin(); it!=CellGroupVector_.end(); ++it ) + { + T_GeometryCellVector& CurCellGroup = *it; + for( GW_U32 i=0; iGetWidth(); + GW_U32 q = cell_cur->GetHeigth(); + + + /* iterate on each point */ + for( GW_U32 i=1; iGetData(i-1,j) * w.GetData(0,1); + ac += cell_cur->GetData(i,j-1) * w.GetData(1,0); + ac += cell_cur->GetData(i-1,j-1) * w.GetData(0,0); + ac += cell_cur->GetData(i,j) * w.GetData(1,1); + + if( iGetData(i+1,j) * w.GetData(1,0); + else + ac = ac + cell_next->GetData(j,cell_next->GetHeigth()-2) * w.GetData(1,0); + + if( jGetData(i,j+1) * w.GetData(1,2); + else + ac = ac + cell_prev->GetData(cell_prev->GetWidth()-2,i) * w.GetData(2,1); + + if( iGetData(i+1,j-1) * w.GetData(2,0); + else + ac = ac + cell_next->GetData(j-1,cell_next->GetHeigth()-2) * w.GetData(2,0); + + if( jGetData(i-1,j+1) * w.GetData(0,2); + else + ac = ac + cell_prev->GetData(cell_prev->GetWidth()-2,i-1) * w.GetData(0,2); + + if( iGetData(i+1,j+1) * w.GetData(2,2); + else + { + if( i==p-1 && jGetData(j+1,cell_next->GetHeigth()-2) * w.GetData(2,2); + else + { + if( iGetData(cell_prev->GetWidth()-2,i+1) * w.GetData(2,2); + else + { + nb = 0; // special case + ac = 0; + for( IT_GeometryCellVector it2 = CurCellGroup.begin(); it2!=CurCellGroup.end(); ++it2 ) + { + GW_GeometryCell* cell = *it2; + ac += cell->GetData(cell->GetWidth()-2,cell->GetHeigth()-2) + + cell->GetData(cell->GetWidth()-1,cell->GetHeigth()-2); + nb += 2; + } + ac /= nb; + } + } + } + + cell_cur->SetData( i,j, ac ); + } + + cell_prev = cell_cur; + } +} + + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeometryAtlas.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeometryAtlas.h new file mode 100644 index 0000000..cda9b02 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeometryAtlas.h @@ -0,0 +1,77 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeometryAtlas.h + * \brief Definition of class \c GW_GeometryAtlas + * \author Gabriel Peyré + * \date 2-4-2004 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_GEOMETRYATLAS_H_ +#define _GW_GEOMETRYATLAS_H_ + +#include "../gw_core/GW_Config.h" +#include "GW_GeometryCell.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_GeometryAtlas + * \brief A collection of cells. + * \author Gabriel Peyré + * \date 2-4-2004 + * + * A collection of cell with interconnections + */ +/*------------------------------------------------------------------------------*/ + +class GW_GeometryAtlas +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_GeometryAtlas(); + virtual ~GW_GeometryAtlas(); + //@} + + void InitSampling( std::vector& CyclicPositionCollection, GW_U32 n ); + void PositionateVertex( T_MeshVector& ParamMeshVector, T_MeshVector& RealMeshVector ); + + void SmoothSampling( GW_U32 nNbrIter = 20 ); + static void SmoothSampling( T_GeometryCellVector& CurCellGroup ); + + T_GeometryCellVector& GetCellVector() + { return CellVector_; } + std::vector& GetCellGroupVector() + { return CellGroupVector_; } + + +private: + + T_GeometryCellVector CellVector_; + std::vector CellGroupVector_; + + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_GeometryAtlas.inl" +#endif + + +#endif // _GW_GEOMETRYATLAS_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeometryAtlas.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeometryAtlas.inl new file mode 100644 index 0000000..8b38a92 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeometryAtlas.inl @@ -0,0 +1,25 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeometryAtlas.inl + * \brief Inlined methods for \c GW_GeometryAtlas + * \author Gabriel Peyré + * \date 2-4-2004 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_GeometryAtlas.h" + +namespace GW { + + + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeometryCell.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeometryCell.cpp new file mode 100644 index 0000000..02e9e61 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeometryCell.cpp @@ -0,0 +1,60 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeometryCell.cpp + * \brief Definition of class \c GW_GeometryCell + * \author Gabriel Peyré + * \date 2-4-2004 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_GeometryCell.cpp(c) Gabriel Peyré2004"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_GeometryCell.h" + +#ifndef GW_USE_INLINE + #include "GW_GeometryCell.inl" +#endif + +using namespace GW; + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeometryCell::InitSampling +/** + * \param v1 [GW_Vector3D&] 1st vert + * \param v2 [GW_Vector3D&] 2nd corner + * \param v3 [GW_Vector3D&] 3rd corner + * \param v4 [GW_Vector3D&] 4th corner. + * \param n [GW_U32] Number of points on width. + * \param n [GW_U32] Number of points on height. + * \author Gabriel Peyré + * \date 2-4-2004 + * + * Initialize the position of each point. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeometryCell::InitSampling( GW_Vector3D& v1, GW_Vector3D& v2, GW_Vector3D& v3, GW_Vector3D& v4, GW_U32 n, GW_U32 p ) +{ + this->Reset(n,p); + for( GW_U32 i=0; iSetData(i,j, pos); + } + } +} + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeometryCell.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeometryCell.h new file mode 100644 index 0000000..1c4b0cb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeometryCell.h @@ -0,0 +1,158 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeometryCell.h + * \brief Definition of class \c GW_GeometryCell + * \author Gabriel Peyré + * \date 2-4-2004 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_GEOMETRYCELL_H_ +#define _GW_GEOMETRYCELL_H_ + +#include "../gw_core/GW_Config.h" +#include "GW_Parameterization.h" +#include "../gw_maths/GW_Matrix2x2.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_GeometryCell_Template + * \brief In fact this is just a 2D array. + * \author Gabriel Peyré + * \date 2-4-2004 + * + * A 2D array, a patch of a 3D mesh. + */ +/*------------------------------------------------------------------------------*/ +template +class GW_GeometryCell_Template +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_GeometryCell_Template( GW_U32 nWidth = 0, GW_U32 nHeight = 0 ) + : pData_( NULL ) + { + nSize_[0] = nSize_[1] = 0; + if( nWidth>0 ) + this->Reset(nWidth, nHeight); + + } + virtual ~GW_GeometryCell_Template() + { + GW_DELETEARRAY(pData_); + } + //@} + + void Reset( GW_U32 nWidth, GW_U32 nHeight ) + { + GW_DELETEARRAY(pData_); + pData_ = new base_type[nWidth*nHeight]; + nSize_[0] = nWidth; + nSize_[1] = nHeight; + } + + base_type& GetData( GW_U32 i, GW_U32 j ) + { + GW_ASSERT( i +{ +public: + GW_GeometryCell( GW_U32 nWidth = 0, GW_U32 nHeight = 0 ) + : GW_GeometryCell_Template(nWidth,nHeight) + { } + + + void Reset( GW_U32 nWidth, GW_U32 nHeight ) + { + GW_GeometryCell_Template::Reset(nWidth,nHeight); + Normal_.Reset(nWidth,nHeight); + } + + void InitSampling( GW_Vector3D& v1, GW_Vector3D& v2, GW_Vector3D& v3, GW_Vector3D& v4, GW_U32 n, GW_U32 p ); + + static GW_Vector3D GetInterpolatedPosition( GW_Mesh& ParamMesh, GW_Mesh& RealMesh, GW_Vector3D& param_pos, + GW_Face* &seed, GW_Vector3D& Normal ); + void InterpolateAllPositions( GW_Mesh& ParamMesh, GW_Mesh& RealMesh ); + + void SetNormal( GW_U32 i, GW_U32 j, GW_Vector3D& val ) + { + Normal_.SetData(i,j,val); + } + GW_Vector3D& GetNormal(GW_U32 i,GW_U32 j) + { + return Normal_.GetData(i,j); + } + +private: + + GW_GeometryCell_Template Normal_; +}; + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_GeometryCell */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_GeometryCellVector; +typedef T_GeometryCellVector::iterator IT_GeometryCellVector; +typedef T_GeometryCellVector::reverse_iterator RIT_GeometryCellVector; +typedef T_GeometryCellVector::const_iterator CIT_GeometryCellVector; +typedef T_GeometryCellVector::const_reverse_iterator CRIT_GeometryCellVector; +//@} + + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_GeometryCell.inl" +#endif + + +#endif // _GW_GEOMETRYCELL_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeometryCell.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeometryCell.inl new file mode 100644 index 0000000..88bd80e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_GeometryCell.inl @@ -0,0 +1,169 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeometryCell.inl + * \brief Inlined methods for \c GW_GeometryCell + * \author Gabriel Peyré + * \date 2-4-2004 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_GeometryCell.h" + +namespace GW { + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeometryCell::GetInterpolatedPosition +/** +* \param ParamMesh [GW_Mesh&] Parameter mesh. +* \param RealMesh [GW_Mesh&] Surface. +* \param v [GW_Vector3D&] Parameter position. +* \param seed [GW_Face*] A seed for the search. Will be modified ! +* \return [GW_Vector3D] The position in 3D space. +* \author Gabriel Peyré +* \date 2-4-2004 +* +* Interpolate a position on the surface. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Vector3D GW_GeometryCell::GetInterpolatedPosition( GW_Mesh& ParamMesh, GW_Mesh& RealMesh, GW_Vector3D& v, GW_Face* &seed, GW_Vector3D& Normal ) +{ + GW_Vector3D lambda(0,0,1); + +#if 1 + /* here perform an exhaustive search */ + GW_Face* sel_face; + GW_Float min_dist = GW_INFINITE; + GW_Vector3D min_lambda; + for( GW_U32 i=0; iGetVertex(0)->GetPosition(); + GW_Vector3D v2 = seed->GetVertex(1)->GetPosition(); + GW_Vector3D v3 = seed->GetVertex(2)->GetPosition(); + GW_Vector2D a = GW_Vector3D(v1 - v3).ToVector2D(); + GW_Vector2D b = GW_Vector3D(v2 - v3).ToVector2D(); + GW_Vector2D c = GW_Vector3D(v - v3).ToVector2D(); + GW_Matrix2x2 M(a,b); // M map canonical basis of R^3 onto v + M.AutoInvert(); + GW_Vector2D mu = M*c; + lambda[0] = mu[0]; + lambda[1] = mu[1]; + lambda[2] = 1-mu[0]-mu[1]; + GW_Float rDist = 0; + if( lambda[0]<0 ) + rDist -= lambda[0]; + if( lambda[1]<0 ) + rDist -= lambda[1]; + if( lambda[2]<0 ) + rDist -= lambda[2]; + if( rDistGetFace(); + } + while( GW_True ) + { + /* find the barycentric coords according to the cur face */ + GW_Vector3D v1 = seed->GetVertex(0)->GetPosition(); + GW_Vector3D v2 = seed->GetVertex(1)->GetPosition(); + GW_Vector3D v3 = seed->GetVertex(2)->GetPosition(); + GW_Vector2D a = GW_Vector3D(v1 - v3).ToVector2D(); + GW_Vector2D b = GW_Vector3D(v2 - v3).ToVector2D(); + GW_Vector2D c = GW_Vector3D(v - v3).ToVector2D(); + GW_Matrix2x2 M(a,b); // M map canonical basis of R^3 onto v + M.AutoInvert(); + GW_Vector2D mu = M*c; + lambda[0] = mu[0]; + lambda[1] = mu[1]; + lambda[2] = 1-mu[0]-mu[1]; + if( lambda[0]>=0 && lambda[1]>=0 && lambda[2]>=0 ) // that's it, we have found the face + break; + GW_Face* pNextSeed = NULL; + for( GW_U32 i=0; i<3; ++i ) + { + if( lambda[i]<0 ) + pNextSeed = seed->GetFaceNeighbor(i); + } + if( pNextSeed==NULL ) + { + // we are on a boundary + GW_CLAMP_01( lambda[0] ); + GW_CLAMP_01( lambda[1] ); + GW_CLAMP_01( lambda[2] ); + lambda = lambda/(lambda[0]+lambda[1]+lambda[2]); + break; + } + seed = pNextSeed; + }; +#endif + + /* interpolate linearly */ + GW_U32 nID = seed->GetID(); + GW_Face* pRealFace = RealMesh.GetFace(nID); GW_ASSERT( pRealFace ); + GW_Vector3D pos = pRealFace->GetVertex(0)->GetPosition()*lambda[0] + + pRealFace->GetVertex(1)->GetPosition()*lambda[1] + + pRealFace->GetVertex(2)->GetPosition()*lambda[2]; + Normal = pRealFace->GetVertex(0)->GetNormal()*lambda[0] + + pRealFace->GetVertex(1)->GetNormal()*lambda[1] + + pRealFace->GetVertex(2)->GetNormal()*lambda[2]; + Normal.Normalize(); + return pos; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeometryCell::InterpolateAllPositions +/** + * \param ParamMesh [GW_Mesh&] Parameter space. + * \param RealMesh [GW_Mesh&] Real position of 3D meshes. + * \author Gabriel Peyré + * \date 2-4-2004 + * + * Interpolate the position of each point. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeometryCell::InterpolateAllPositions( GW_Mesh& ParamMesh, GW_Mesh& RealMesh ) +{ + GW_Face* seed = NULL; + for( GW_U32 i=0; iGetData(i,j); + GW_Vector3D Normal; + GW_Vector3D pos = GW_GeometryCell::GetInterpolatedPosition( ParamMesh, RealMesh, v, seed, Normal ); + this->SetData(i,j, pos); + this->SetNormal(i,j,Normal); + } +} + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_Parameterization.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_Parameterization.cpp new file mode 100644 index 0000000..5610ddb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_Parameterization.cpp @@ -0,0 +1,1549 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Parameterization.cpp + * \brief Definition of class \c GW_Parameterization + * \author Gabriel Peyré + * \date 7-1-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_Parameterization.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_Parameterization.h" + +#ifndef GW_USE_INLINE + #include "GW_Parameterization.inl" +#endif + +using namespace GW; + + +GW_GeodesicVertex* GW_Parameterization::pCurVoronoiDiagram_ = NULL; +T_U32Vector GW_Parameterization::FaceVector; +T_U32Map GW_Parameterization::FaceMap; +T_U32Vector GW_Parameterization::VertexVector; +T_U32Map GW_Parameterization::VertexMap; + + +GW_Parameterization::GW_Parameterization() +: nNbrMaxIterLloyd_ ( 20 ), + nNbrMaxIterLloydDescent_ ( 100 ) +{ + +} + +GW_Parameterization::~GW_Parameterization() +{ + +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::PerformFastMarching +/** +* \param VertList [T_GeodesicVertexList&] List of start vertex. +* \author Gabriel Peyré +* \date 4-13-2003 +* +* Just an helper method that launch a fire from each base point. +*/ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::PerformFastMarching( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList ) +{ + /* add the points as starting points */ + Mesh.ResetGeodesicMesh(); + for( IT_GeodesicVertexList it = VertList.begin(); it!=VertList.end(); ++it ) + { + GW_GeodesicVertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + Mesh.AddStartVertex( *pVert ); + } + /* perform a firestart */ + Mesh.PerformFastMarching(); +} + +/** We add a new point only if it belongs to the current Voronoi diagram */ +GW_Bool GW_Parameterization::FastMarchingCallbackFunction_Centering( GW_GeodesicVertex& CurVert, GW_Float rNewDist ) +{ + typedef GW_VoronoiMesh::GW_GeodesicInformationDuplicata T_Duplicata; + GW_ASSERT( pCurVoronoiDiagram_!=NULL ); + T_Duplicata* pDuplicata = (T_Duplicata*) CurVert.GetUserData(); + GW_ASSERT( pDuplicata!=NULL ); + return pDuplicata->pFront_ == pCurVoronoiDiagram_; +} + +GW_GeodesicVertex& GW_Parameterization::PerformCentering( GW_GeodesicVertex& Vert, GW_GeodesicMesh& Mesh ) +{ + GW_OutputComment( "Centering a base vertex." ); + /* try a pseudo gradient descent to seek for the new points */ + T_FloatMap ComputedEnergy; // already computed energy + + GW_GeodesicVertex* pCurVertex = ‖ + GW_Float rCurEnergy = ComputeCenteringEnergy( *pCurVertex, Vert, Mesh ); + ComputedEnergy[pCurVertex->GetID()] = rCurEnergy; + + GW_U32 nNbrIter = 0; + + while( true ) + { + GW_GeodesicVertex* pNextVertex = NULL; + + /* iterate on the 1-ring */ + for( GW_VertexIterator it=pCurVertex->BeginVertexIterator(); it!=pCurVertex->EndVertexIterator(); ++it ) + { + GW_GeodesicVertex* pNeigbhor = (GW_GeodesicVertex*) *it; + GW_Float rNeighborEnergy = 0; + GW_ASSERT( pNeigbhor!=NULL ); + + if( ComputedEnergy.find(pNeigbhor->GetID())==ComputedEnergy.end() ) + { + /* we should compute it's enerdy */ + rNeighborEnergy = ComputeCenteringEnergy( *pNeigbhor, Vert, Mesh ); + ComputedEnergy[pNeigbhor->GetID()] = rNeighborEnergy; + } + else + rNeighborEnergy = ComputedEnergy[ pNeigbhor->GetID() ]; + + if( rNeighborEnergynNbrMaxIterLloydDescent_ ) // to avoid infinite loop. + break; + } + + /* return the new point location */ + return *pCurVertex; +} + + + +/** Return \c true if we have reach a fixed point of the iterations. */ +GW_Bool GW_Parameterization::PerformLloydIteration( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList ) +{ + /* recompute the whole distance map */ + this->PerformFastMarching( Mesh, VertList ); + /* duplicate the Marching information */ + GW_VoronoiMesh::PrepareInterpolation( Mesh ); + + /* we don't want to use some special energy */ + Mesh.RegisterWeightCallbackFunction( GW_GeodesicMesh::BasicWeightCallback ); + + T_GeodesicVertexList NewVertList; + GW_Bool bStableConfigReached = GW_True; + for( IT_GeodesicVertexList it=VertList.begin(); it!=VertList.end(); ++it ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) *it; + GW_ASSERT( pVert!=NULL ); + GW_GeodesicVertex& NewVert = PerformCentering( *pVert, Mesh ); + if( &NewVert!=pVert ) + bStableConfigReached = GW_False; + NewVertList.push_back( &NewVert ); + } + /* replace the old list by the new one */ + VertList = NewVertList; + + return bStableConfigReached; +} + +void GW_Parameterization::PerformLloydAlgorithm( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList ) +{ + GW_U32 nNbrIter = 0; + while( nNbrIterGetID() ] = Vert.GetFace(); + + + while( !FaceToProceed.empty() ) + { + GW_Face* pFace = FaceToProceed.front(); + GW_ASSERT( pFace!=NULL ); + FaceToProceed.pop_front(); + + /* cut the face */ + this->CutFace( *pFace, Vert, Mesh, pTrissectorInfoMap ); + + /* add neighbors */ + for( GW_U32 i=0; i<3; ++i ) + { + GW_Face* pNewFace = pFace->GetFaceNeighbor(i); + if( pNewFace!=NULL && FaceMap.find(pNewFace->GetID())==FaceMap.end() ) + { + GW_Bool bAddThisFace = GW_False; + for( GW_U32 nVert=0; nVert<3; ++nVert ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) pNewFace->GetVertex(nVert); + GW_ASSERT( pVert!=NULL ); + if( pVert->GetFront()==&Vert ) + { + bAddThisFace = GW_True; + break; + } + } + if( bAddThisFace ) + { + FaceToProceed.push_back( pNewFace ); + FaceMap[ pNewFace->GetID() ] = pNewFace; // so that it won't be added anymore + } + } + } + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::SegmentAllRegions +/** + * \param Mesh [GW_GeodesicMesh&] The mesh. + * \param VertList [T_GeodesicVertexList&] The list of the seed points. + * \author Gabriel Peyré + * \date 7-1-2003 + * + * Segment all the regions of a mesh. + */ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::SegmentAllRegions( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList, T_TrissectorInfoMap* pTrissectorInfoMap ) +{ + CutEdgeMap_.clear(); + /* recompute the whole distance map */ + GW_OutputComment("Recomputing the whole Voronoi tesselation."); + this->PerformFastMarching( Mesh, VertList ); + cout << " * Segmenting each region "; + GW_U32 num = 0; + GW_ProgressBar pb; + pb.Begin(); + for( IT_GeodesicVertexList it=VertList.begin(); it!=VertList.end(); ++it ) + { + GW_GeodesicVertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + this->SegmentRegion( Mesh, *pVert, pTrissectorInfoMap ); + num++; + pb.Update( ((GW_Float)num)/((GW_Float)VertList.size()) ); + } + pb.End(); + cout << endl; + Mesh.BuildConnectivity(); + + if( pTrissectorInfoMap!=NULL ) + { + /* build the map that perform conversion from front number to region number */ + T_U32Map FrontNbr2RegionNbr; + GW_U32 num = 0; + for( IT_GeodesicVertexList it = VertList.begin(); it!=VertList.end(); ++it ) + { + GW_GeodesicVertex* pVert = *it; GW_ASSERT( pVert!=NULL ); + FrontNbr2RegionNbr[pVert->GetID()] =num; + num++; + } + /* replace the number of the vertices by the number of the front */ + for( IT_TrissectorInfoMap it = pTrissectorInfoMap->begin(); it!=pTrissectorInfoMap->end(); ++it ) + { + GW_TrissectorInfo& tr = it->second; + for( GW_U32 i=0; i<3; ++i ) + { + GW_U32 nID = tr.GetId( i ); + GW_ASSERT( FrontNbr2RegionNbr.find(nID)!=FrontNbr2RegionNbr.end() ); + tr.SetId( i, FrontNbr2RegionNbr[nID] ); + } + } + + } +} + + + +GW_Vector3D TotalNormal; +GW_Vector3D TotalCenter; +void ExplodeRegion_Callback1( GW_Vertex& vert ) +{ + TotalCenter += vert.GetPosition(); + TotalNormal += vert.GetNormal(); +} + +GW_Vector3D Displacement; +void ExplodeRegion_Callback2( GW_Vertex& vert ) +{ + vert.GetPosition() += Displacement; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::ExplodeRegion +/** + * \param Mesh [GW_GeodesicMesh&] The mesh. + * \param Vert [GW_GeodesicVertex&] A seed for the region. + * \author Gabriel Peyré + * \date 7-2-2003 + * + * Explode a given region. + */ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::ExplodeRegion( GW_GeodesicVertex& Vert, GW_Float intensity, GW_Float normal_contrib ) +{ + TotalNormal.SetZero(); + TotalCenter.SetZero(); + GW_Mesh::IterateConnectedComponent_Vertex( Vert, ExplodeRegion_Callback1 ); + + TotalNormal.Normalize(); + TotalCenter.Normalize(); + Displacement = TotalNormal*normal_contrib + TotalCenter*(1-normal_contrib); + Displacement.Normalize(); + Displacement *= intensity; + GW_Mesh::IterateConnectedComponent_Vertex( Vert, ExplodeRegion_Callback2 ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::ExplodeAllRegions +/** + * \param VertList [T_GeodesicVertexList&] The list of seed. + * \param intensity [GW_Float] intensity of the explode. + * \param normal_contrib [GW_Float] DESCRIPTION + * \author Gabriel Peyré + * \date 7-2-2003 + * + * Explode each region. + */ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::ExplodeAllRegions( T_GeodesicVertexList& VertList, GW_Float intensity, GW_Float normal_contrib ) +{ + for( IT_GeodesicVertexList it=VertList.begin(); it!=VertList.end(); ++it ) + { + GW_GeodesicVertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + GW_Parameterization::ExplodeRegion( *pVert, intensity, normal_contrib ); + } +} + + +void GW_Parameterization::ExtractSubMeshes_Callback( GW_Face& face ) +{ + GW_U32 nNbrFace = (GW_U32) FaceVector.size(); + FaceVector.push_back( face.GetID() ); + FaceMap[face.GetID()] = nNbrFace; + for( GW_U32 i=0; i<3; ++i ) + { + GW_Vertex* pVert = face.GetVertex(i); GW_ASSERT( pVert!=NULL ); + if( VertexMap.find(pVert->GetID())==VertexMap.end() ) + { + GW_U32 nNbrVert = (GW_U32) VertexVector.size(); + VertexMap[pVert->GetID()] = nNbrVert; + VertexVector.push_back(pVert->GetID()); + } + } +} +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::ExtractSubMeshes +/** + * \param Mesh [GW_GeodesicMesh&] The original mesh. + * \param VertList [T_GeodesicVertexList&] A seed for each component + * \param MeshVector [T_MeshVector&] The place where new meshes are put. + * \author Gabriel Peyré + * \date 1-14-2004 + * + * Create a new mesh for each connected component. + */ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::ExtractSubMeshes( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList, T_GeodesicMeshVector& MeshVector, T_U32Vector* pGlobal2LocalID ) +{ + if( pGlobal2LocalID!=NULL ) + pGlobal2LocalID->resize(Mesh.GetNbrVertex()); + for( IT_GeodesicVertexList it = VertList.begin(); it!=VertList.end(); ++it ) + { + GW_GeodesicVertex* pVert = *it; GW_ASSERT(pVert!=NULL); + FaceVector.clear(); + FaceMap.clear(); + VertexVector.clear(); + VertexMap.clear(); + GW_Mesh::IterateConnectedComponent_Face( * pVert->GetFace(), ExtractSubMeshes_Callback ); + /* create a new mesh */ + GW_U32 nNbrVert = (GW_U32) VertexVector.size(); // already computed + GW_U32 nNbrFace = (GW_U32) FaceVector.size(); + GW_GeodesicMesh* pNewMesh = new GW_GeodesicMesh; + MeshVector.push_back(pNewMesh); + pNewMesh->SetNbrVertex( nNbrVert ); + pNewMesh->SetNbrFace( nNbrFace ); + for( GW_U32 i=0; iCreateNewFace(); + pNewMesh->SetFace(i, &NewFace); + } + for( GW_U32 i=0; iCreateNewVertex(); + pNewMesh->SetVertex(i, &NewVert); + /* copy the vertex */ + GW_U32 nID = VertexVector[i]; + const GW_Vertex& OriginalVert = *Mesh.GetVertex(nID); + NewVert = OriginalVert; + NewVert.SetID(i); // this was changed by the copy + /* keep track of the correspondance */ + if( pGlobal2LocalID!=NULL ) + { + GW_ASSERT( nIDsize() ); + (*pGlobal2LocalID)[nID] = i; + } + /* resolve face attachement */ + const GW_Face* pFace = OriginalVert.GetFace(); + if( pFace!=NULL ) + { + // GW_ASSERT( FaceMap.find(pFace->GetID())!=FaceMap.end() ); + if( FaceMap.find(pFace->GetID())!=FaceMap.end() ) + { + GW_U32 nID = FaceMap[ pFace->GetID() ]; + NewVert.SetFace( * pNewMesh->GetFace( nID ) ); + } + else + { + /* problem : this vertex is attached to another region. */ + GW_ASSERT( GW_False ); + } + } + } + /* create the faces */ + for( GW_U32 i=0; iGetFace(i); + /* copy the face */ + GW_U32 nID = FaceVector[i]; + const GW_Face& OriginalFace = *Mesh.GetFace(nID); + NewFace = OriginalFace; + NewFace.SetID(i); // this was changed + /* resolve Vertex and neighbor */ + for( GW_U32 j=0; j<3; ++j ) + { + GW_U32 VertID = OriginalFace.GetVertex(j)->GetID(); + GW_ASSERT( VertexMap.find(VertID)!=VertexMap.end() ); + GW_U32 nID = VertexMap[VertID]; + NewFace.SetVertex( *pNewMesh->GetVertex(nID), j ); + const GW_Face* pNeigh = OriginalFace.GetFaceNeighbor(j); + if( pNeigh==NULL ) + NewFace.SetFaceNeighbor(NULL, j); + else + { + GW_U32 FaceID = pNeigh->GetID(); + GW_ASSERT( FaceMap.find(FaceID)!=FaceMap.end() ); + nID = FaceMap[FaceID]; + NewFace.SetFaceNeighbor( pNewMesh->GetFace( nID ), j); + } + } + } + } +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::SplitMesh +/** + * \param Mesh [GW_GeodesicMesh&] Mesh to cut + * \param NewMesh [GW_GeodesicMesh&] 1st resulting mesh + * \author Gabriel Peyré + * \date 1-19-2004 + * + * Split a mesh into 2 equal parts. Work only for cylindricaly (whithout cap) + * shaped mesh. + */ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::SplitMesh( GW_GeodesicMesh& Mesh ) +{ + Mesh.CheckIntegrity(); + /* First find a boundary vertex *******************************************************************/ + GW_GeodesicVertex* pStartVert = NULL; + for( GW_U32 i=0; iIsBoundaryVertex() ) + { + pStartVert = pVert; + break; + } + } + GW_ASSERT( pStartVert!=NULL ); + if( pStartVert==NULL ) + return; + /* extract the boundary ****************************************************************************/ + T_GeodesicVertexMap BoundaryVerts; + GW_GeodesicVertex* pCurVert = pStartVert; + GW_GeodesicVertex* pPrevVert = NULL; + do{ + BoundaryVerts[pCurVert->GetID()] = pCurVert; + // select the next vertex + GW_GeodesicVertex* pNewVert = NULL; + for( GW_VertexIterator it=pCurVert->BeginVertexIterator(); it!=pCurVert->EndVertexIterator(); ++it ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) *it; + if( pVert->IsBoundaryVertex()&& pVert!=pPrevVert ) + pNewVert = pVert; + } + GW_ASSERT(pNewVert!=NULL); + pPrevVert = pCurVert; + pCurVert = pNewVert; + } + while(pCurVert!=pStartVert); + /* Computing geodesic cut **************************************************************/ + GW_OutputComment("Computing geodesic cut."); + Mesh.ResetGeodesicMesh(); + Mesh.PerformFastMarching( pStartVert ); + /* find the closest point from another boundary ****************************************************/ + GW_GeodesicVertex* pAwayAnother = NULL; + GW_GeodesicVertex* pAwaySame = NULL; + GW_Float rAwayAnotherMinDist = GW_INFINITE; + GW_Float rAwaySameMaxDist = -GW_INFINITE; + for( GW_U32 i=0; iIsBoundaryVertex() ) + { + if( BoundaryVerts.find(pVert->GetID())==BoundaryVerts.end() ) + { + /* this is a vertex from another boundary */ + if( pVert->GetDistance()GetDistance(); + pAwayAnother = pVert; + } + } + else + { + /* from the same boundary */ + if( pVert->GetDistance()>rAwaySameMaxDist ) + { + rAwaySameMaxDist = pVert->GetDistance(); + pAwaySame = pVert; + } + } + } + } + if( pAwayAnother==NULL ) + pAwayAnother = pAwaySame; + GW_ASSERT( pAwayAnother!=NULL ); + /* compute geodesic between these two points (the distance from vertex 1 is alreade computed) */ + GW_GeodesicPath GeodesicPath; + T_GeodesicVertexList VertPath; + GeodesicPath.ComputePath( *pAwayAnother, 10000 ); + /* add the path to the mesh */ + GW_OutputComment("Extracting the cut."); + GW_VoronoiMesh::AddPathToMeshVertex( Mesh, GeodesicPath, VertPath ); + /* remove redundant vertices */ + T_GeodesicVertexList VertPath2; + Mesh.CheckIntegrity(); + pPrevVert = NULL; + for( IT_GeodesicVertexList it = VertPath.begin(); it!=VertPath.end(); ++it ) + { + GW_GeodesicVertex* pVert = *it; + if( pVert!=pPrevVert ) + VertPath2.push_back(pVert); + pPrevVert = pVert; + } + VertPath = VertPath2; + GW_U32 nNbrVert = (GW_U32) VertPath.size(); + /* keep track of the cutted faces ***************************************************************/ + GW_GeodesicVertex* pVert1 = NULL; + GW_Face* pFace1 = NULL; + GW_Face* pFace2 = NULL; + T_FaceList* FaceListPool = new T_FaceList[nNbrVert]; + GW_U32 num = 0; + for( IT_GeodesicVertexList it = VertPath.begin(); it!=VertPath.end(); ++it ) + { + GW_GeodesicVertex* pVert2 = *it; + if( pVert1!=NULL ) + { + if( pFace1==NULL ) + { + GW_ASSERT( num==1 ); + T_FaceList& FaceList = FaceListPool[0]; + /* we must initialize the faces */ + pVert1->GetFaces( *pVert2, pFace1, pFace2 ); + GW_ASSERT( pFace1!=NULL ); + GW_ASSERT( pFace2!=NULL ); + /* we must initialize the first list */ + GW_Face* pFaceTemp = pFace1; + GW_GeodesicVertex* pDirection = pVert2; + while( pFaceTemp!=NULL ) + { + FaceList.push_back(pFaceTemp); + GW_Face* pNewFaceTemp = pFaceTemp->GetFaceNeighbor( *pDirection ); + pDirection = (GW_GeodesicVertex*) pFaceTemp->GetVertex(*pVert1, *pDirection); + GW_ASSERT( pDirection!=NULL ); + pFaceTemp = pNewFaceTemp; + } + } + T_FaceList& FaceList = FaceListPool[num]; + /* set to NULL neighboor faces */ + GW_I32 nNumNeigh = pFace1->GetEdgeNumber( *pVert1, *pVert2 ); + GW_ASSERT( nNumNeigh>=0 ); + GW_Face* pNeighFace = pFace1->GetFaceNeighbor( nNumNeigh ); + pFace1->SetFaceNeighbor( NULL, nNumNeigh ); + // GW_ASSERT( pNeighFace!=NULL ); + if( pNeighFace!=NULL ) + { + pVert1->SetFace(*pNeighFace); + pVert2->SetFace(*pNeighFace); + nNumNeigh = pNeighFace->GetEdgeNumber( *pVert1, *pVert2 ); + GW_ASSERT( nNumNeigh>=0 ); + pNeighFace->SetFaceNeighbor( NULL, nNumNeigh ); + } + else + { + nNbrVert--; + VertPath.pop_back(); + break; + } + /* find the half 1-ring of faces */ + GW_GeodesicVertex* pDirection = pVert1; + IT_GeodesicVertexList it2 = it; + it2++; + GW_GeodesicVertex* pNext = NULL; + if( it2!=VertPath.end() ) + pNext = *it2; + GW_Bool bFinished = GW_False; + do + { + FaceList.push_back(pFace1); + /* test if we are on last face of the 1-ring */ + if( pNext!=NULL ) + bFinished = GW_Vertex::ComputeUniqueId( *pFace1->GetVertex(0),*pFace1->GetVertex(1),*pFace1->GetVertex(2) ) + == GW_GeodesicVertex::ComputeUniqueId( *pVert2, *pDirection, *pNext ); + if( !bFinished ) + { + /* update direction and new face */ + GW_ASSERT( pFace1->GetEdgeNumber( *pDirection )>=0 ); + GW_Face* pNewFace1 = pFace1->GetFaceNeighbor( *pDirection ); + pDirection = (GW_GeodesicVertex*) pFace1->GetVertex(*pVert2, *pDirection); + GW_ASSERT( pDirection!=NULL ); + pFace1 = pNewFace1; + } + } + while( pFace1!=NULL && !bFinished ); + } + pVert1 = pVert2; + num++; + } + /* Create new vertices *****************************************************************/ + GW_U32 nOldNbrVertices = Mesh.GetNbrVertex(); + Mesh.SetNbrVertex( nOldNbrVertices+nNbrVert ); + num = 0; + for( IT_GeodesicVertexList it = VertPath.begin(); it!=VertPath.end(); ++it ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) *it; + GW_GeodesicVertex* pNewVert = (GW_GeodesicVertex*) &Mesh.CreateNewVertex(); + *pNewVert = *pVert; // copy information + Mesh.SetVertex(nOldNbrVertices+num, pNewVert); + T_FaceList& FaceList = FaceListPool[num]; + for( IT_FaceList it_face = FaceList.begin(); it_face != FaceList.end(); ++it_face ) + { + GW_Face* pFace = *it_face; + GW_I32 nNumVert = pFace->GetEdgeNumber( *pVert ); + GW_ASSERT( nNumVert>=0 ); + pFace->SetVertex( *pNewVert, nNumVert ); + } + num++; + } + GW_DELETEARRAY(FaceListPool); + /* rebuild connectivity for the mesh *************************************************/ +// Mesh.BuildConnectivity(); + Mesh.CheckIntegrity(); +} + + + + +void GW_Parameterization::BuildConformalMatrix( GW_Mesh& Mesh, GW_SparseMatrix& K, const GW_MatrixNxP* M) +{ + GW_U32 p = Mesh.GetNbrVertex(); + for( GW_U32 i=0; iGetNumberNeighbor()+1); + GW_Float rTotalWeight = 0; + for( GW_VertexIterator it = pVerti->BeginVertexIterator(); it!=pVerti->EndVertexIterator(); ++it ) + { + GW_Vertex* pVertj = *it; GW_ASSERT( pVertj!=NULL ); + GW_U32 j = pVertj->GetID(); + GW_Vertex* pVertL = it.GetLeftVertex(); + GW_Vertex* pVertR = it.GetRightVertex(); + GW_Float rVal = 0; + if( pVertL!=NULL ) + { +#if 0 + if( M!=NULL ) + { + GW_Float a = M->GetData(i,j); + /* retrieve distances */ + GW_U32 k = pVertL->GetID(); + GW_Float b = M->GetData(i,k); + GW_Float c = M->GetData(j,k); + GW_Float s = (a+b+c)*0.5; + /* compute tan(A/2)² */ + GW_Float rTan = (s-b)*(s-c)/( s*(s-a) ); + // GW_ASSERT( rTan>0 ); + if( rTan>0 ) + rVal += (1-rTan)/( 2*sqrt(rTan) ); + else + cout << " .. One degenerate triangle ..." << endl; + } +#else + GW_Vector3D e1 = pVerti->GetPosition()-pVertL->GetPosition(); e1.Normalize(); + GW_Vector3D e2 = pVertj->GetPosition()-pVertL->GetPosition(); e2.Normalize(); + GW_Float dot = e1*e2; + if( dot!=1 ) + rVal += dot/sqrt(1-dot*dot); +#endif + } + if( pVertR!=NULL ) + { +#if 0 + if( M!=NULL ) + { + GW_Float a = M->GetData(i,j); + /* retrieve distances */ + GW_U32 k = pVertR->GetID(); + GW_Float b = M->GetData(i,k); + GW_Float c = M->GetData(j,k); + GW_Float s = (a+b+c)*0.5; + /* compute tan(A/2)² */ + GW_Float rTan = (s-b)*(s-c)/( s*(s-a) ); + // GW_ASSERT( rTan>0 ); + if( rTan>0 ) + rVal += (1-rTan)/( 2*sqrt(rTan) ); + else + cout << " .. One degenerate triangle ..." << endl; + } +#else + GW_Vector3D e1 = pVerti->GetPosition()-pVertR->GetPosition(); e1.Normalize(); + GW_Vector3D e2 = pVertj->GetPosition()-pVertR->GetPosition(); e2.Normalize(); + GW_Float dot = e1*e2; + if( dot!=1 ) + rVal += dot/sqrt(1-dot*dot); +#endif + } + K.SetData(i,j, rVal); + rTotalWeight += rVal; + } + if( rTotalWeight==0 ) // should not happen + { + GW_U32 nNeigSize_i = pVerti->GetNumberNeighbor(); + for( GW_VertexIterator it = pVerti->BeginVertexIterator(); it!=pVerti->EndVertexIterator(); ++it ) + { + GW_Vertex* pVertj = *it; GW_ASSERT( pVertj!=NULL ); + GW_U32 nNeigSize_j = pVertj->GetNumberNeighbor(); + GW_U32 j = pVertj->GetID(); + rTotalWeight += 1.0/sqrt(nNeigSize_i*nNeigSize_j); + K.SetData(i,j, 1.0/sqrt(nNeigSize_i*nNeigSize_j) ); + } + } + K.SetData(i,i, -rTotalWeight); + } +} + + + +void GW_Parameterization::BuildTutteMatrix( GW_Mesh& Mesh, GW_SparseMatrix& K ) +{ + GW_U32 p = Mesh.GetNbrVertex(); + for( GW_U32 i=0; iGetNumberNeighbor(); + K.SetRowSize(i,nNeigSize_i); + GW_Float rTotalWeight = 0; + for( GW_VertexIterator it = pVerti->BeginVertexIterator(); it!=pVerti->EndVertexIterator(); ++it ) + { + GW_Vertex* pVertj = (GW_Vertex*) *it; GW_ASSERT( pVertj!=NULL ); + GW_U32 nNeigSize_j = pVertj->GetNumberNeighbor(); + GW_U32 j = pVertj->GetID(); + rTotalWeight += 1.0/sqrt(nNeigSize_i*nNeigSize_j); + K.SetData(i,j, 1.0/sqrt(nNeigSize_i*nNeigSize_j)); + } + K.SetData(i,i, -rTotalWeight); + } +} + +void GW_Parameterization::ResolutionSpectral( GW_MatrixNxP& K, GW_MatrixNxP& L, GW_U32 EIG ) +{ + GW_U32 p = L.GetNbrCols(); + GW_U32 EIG1 = EIG; + GW_U32 EIG2 = EIG+1; + GW_MatrixNxP U(p,p); + GW_MatrixNxP V(p,p); + GW_VectorND Vp(p); + K.SVD( U, V, &Vp, NULL ); +// cout << Vp; + GW_Float rScaleX = Vp[EIG1]; // sqrt(Vp[EIG1]); + GW_Float rScaleY = Vp[EIG2]; // sqrt(Vp[EIG2]); + for( GW_U32 i=0; ieps ) + { + GW_Float w = 1-(err-eps)/(err_start-eps); + w = GW_MAX( w, w_prev ); + w = GW_MAX( w, ((GW_Float) nNbrIter)/((GW_Float) nMaxIter) ); + pb.Update(w); + w_prev = w; + + BiCGIter( &M.M_, &xv, &bv, nStepIter, pPrecond, Omega ); + // test for stop + nNbrIter += nStepIter; + if( LASResult()!=LASOK ) + { + GW_ASSERT(GW_False); + cout << "Error "; + WriteLASErrDescr(stdout); + } + /* r = b - A * x */ + GW_SparseMatrix::Copy( x, xv ); + err = (b-M*x).Norm2(); + } + pb.End(); + cout << endl; + + + // std::ofstream str("log.log"); + // str << M << b << x; + // str.close(); + + GW_SparseMatrix::Copy( x, xv ); + + + /* destroy data */ + V_Destr(&xv); + V_Destr(&bv); + +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::ResolutionBoundaryFree +/** + * \param VoronoiMesh [GW_VoronoiMesh&] The coarse mesh to flatten. + * \param K [GW_MatrixNxP&] The weight matrix for the flattening. + * \param L [GW_MatrixNxP&] The position of the vertices. + * \param M [GW_MatrixNxP&] The distance matrix. + * \author Gabriel Peyré + * \date 1-24-2004 + * + * Solve the flattening problem using boundary free formulation. + */ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::ResolutionBoundaryFree( GW_Mesh& Mesh, GW_SparseMatrix& K, GW_MatrixNxP& L, GW_MatrixNxP* M ) +{ + GW_U32 p = Mesh.GetNbrVertex(); + GW_SparseMatrix K1(2*p); + + GW_OutputComment("Building the boundary free matrix."); + for( GW_U32 i=0; iIsBoundaryVertex() ) + { + K1.SetRowSize( i, K.GetRowSize(i) ); + K1.SetRowSize( i+p, K.GetRowSize(i) ); + } + else + { + K1.SetRowSize( i, K.GetRowSize(i)+2 ); + K1.SetRowSize( i+p, K.GetRowSize(i)+2 ); + } + /* set up X and Y line : make a copy */ + for( GW_U32 entry=0; entryIsBoundaryVertex() ) + { + /* we must adjust the corresponding row */ + GW_Vertex* pVert1 = NULL; + GW_Vertex* pVert2 = NULL; + /* special case for boundary vertices : must turn IN CLOUNTERCLOCKWISE sense */ + GW_Face* pFace = pVert->GetFace(); GW_ASSERT( pFace!=NULL ); + // first find FIRST boundary vertex + GW_Face* pStartFace = pFace; + GW_Vertex* pDirVertex = pFace->GetNextVertex(*pVert); GW_ASSERT( pDirVertex!=NULL ); + pDirVertex = pFace->GetNextVertex(*pDirVertex); GW_ASSERT( pDirVertex!=NULL ); + GW_U32 num = 0; + while( pFace->GetFaceNeighbor(*pDirVertex)!=NULL && num<100 ) + { + num++; + GW_Face* pPrevFace = pFace; + pFace = pFace->GetFaceNeighbor(*pDirVertex); + pDirVertex = pPrevFace->GetVertex(*pVert,*pDirVertex); GW_ASSERT(pDirVertex!=NULL); + } + GW_ASSERT( num<100 ); + // GW_ASSERT( pFace!=pStartFace || pStartFace->GetFaceNeighbor(*pDirVertex)!=NULL ); + pVert1 = pFace->GetVertex(*pVert,*pDirVertex); GW_ASSERT(pVert1!=NULL); + // then find LAST vertex + pDirVertex = pVert1; + num = 0; + while( pFace->GetFaceNeighbor(*pDirVertex)!=NULL && num<100 ) + { + num++; + GW_Face* pPrevFace = pFace; + pFace = pFace->GetFaceNeighbor(*pDirVertex); + pDirVertex = pPrevFace->GetVertex(*pVert,*pDirVertex); GW_ASSERT(pDirVertex!=NULL); + } + GW_ASSERT( num<100 ); + // GW_ASSERT( pFace!=pStartFace || pStartFace->GetFaceNeighbor(*pDirVertex)!=NULL ); + pVert2 = pFace->GetVertex(*pVert,*pDirVertex); GW_ASSERT(pVert2!=NULL); + GW_ASSERT( pVert1!=NULL && pVert2!=NULL ); + GW_Float epsilon = 1; + /* X coords **********************************/ + K1.SetData( i,pVert1->GetID()+p, +epsilon ); // add a constraint on -Y coordinate + K1.SetData( i,pVert2->GetID()+p, -epsilon ); + /* Y coords **********************************/ + K1.SetData( i+p,pVert1->GetID(), -epsilon ); // add a constraint on X coordinate + K1.SetData( i+p,pVert2->GetID(), +epsilon ); + } + } + + + GW_VectorND x(2*p, GW_Float(0)); // solution + GW_VectorND b(2*p, GW_Float(0)); // rhs + + + /* add two more constraints : choose them as far as possible from one another */ + GW_Vertex* pVert[2]; + if( M!=NULL ) // use farthest vertices + { + GW_U32 i_max = 0, j_max = 0; + GW_Float dist_max = 0; + for( GW_U32 i=0; iGetData(i,j)>dist_max ) + { + dist_max = M->GetData(i,j); + i_max = i; j_max = j; + } + } + pVert[0] = Mesh.GetVertex(i_max); + pVert[1] = Mesh.GetVertex(j_max); + } + else + { + // use random + pVert[0] = Mesh.GetRandomVertex(); + pVert[1] = Mesh.GetRandomVertex(); + } + + GW_Vector2D arbitrary_pos[2] = { GW_Vector2D(-2.5,0), GW_Vector2D(2.5,0) }; + for( GW_U32 k=0; k<2; ++k ) + { + GW_U32 i = pVert[k]->GetID(); + /* clear this row */ + K1.SetRowSize(i,0); + K1.SetRowSize(i,1); + K1.SetRowSize(i+p,0); + K1.SetRowSize(i+p,1); + /* Add a position constraint */ + K1.SetData( i, i, 1 ); // X constraint + K1.SetData( i+p, i+p, 1 ); // Y constraint + b[i] = arbitrary_pos[k][0]; + b[i+p] = arbitrary_pos[k][1]; + } + + cout << " * System resolution."; + // K1.LUSolve( x, b ); // for small system + GW_Parameterization::SolveSystem( K1, x, b ); + + + for( GW_U32 j=0; j boundary_list; + Mesh.ExtractAllBoundaries( boundary_list ); + if( boundary_list.size()==0 ) + { + GW_OutputComment("Closed mesh, can't flatten this mesh."); + GW_ASSERT( GW_False ); + return; + } + if( boundary_list.size()>1 ) + GW_OutputComment("Warning, this mesh has more than 1 boundary."); + T_VertexList boundary = boundary_list.front(); + /* find vertex position **************************************************/ + T_Vector2DMap Positions; // position of boundary points + if( pInitialPos!=NULL ) + { + Positions = *pInitialPos; + } + else if( pTrissectorInfoMap==NULL ) + { + GW_Float perimeter = Mesh.GetPerimeter( boundary ); + /* flatten into a disk */ + GW_Float curv_abs = 0; // curvilinear absice + GW_Vertex* pPrev = NULL; + for( IT_VertexList it = boundary.begin(); it!=boundary.end(); ++it ) + { + GW_Vertex* pVert = *it; GW_ASSERT( pVert!=NULL ); + if( pPrev!=NULL ) + curv_abs += (pVert->GetPosition()-pPrev->GetPosition()).Norm(); + GW_Float theta = GW_TWOPI*curv_abs/perimeter; + Positions[ pVert->GetID() ] = GW_Vector2D( cos(theta), sin(theta) ); + pPrev = pVert; + } + } + else + { + GW_ASSERT( pCyclicPosition!=NULL ); + /* flatten using a convex polyhedron, first find stating vertex */ + IT_VertexList it_start = boundary.end(); + for( IT_VertexList it = boundary.begin(); it!=boundary.end(); ++it ) + { + GW_Vertex* pVert = *it; GW_ASSERT( pVert!=NULL ); + if( pTrissectorInfoMap->find(pVert->GetID())!=pTrissectorInfoMap->end() ) + { + it_start = it; + break; + } + } + GW_ASSERT( it_start != boundary.end() ); + if( it_start==boundary.end() ) + return; + /* now extract each sub-boundary */ + std::list boundary_pieces; + IT_VertexList it_cur = it_start; + GW_Float rPerimeter = 0; + T_FloatVector Perimeters; + Perimeters.resize( pTrissectorInfoMap->size() ); + GW_U32 num = 0; + while( GW_True ) + { + T_VertexList new_piece; + /* feed the piece */ + new_piece.push_back( *it_cur ); + GW_Vertex* pVert = NULL; + do + { + it_cur++; + if( it_cur==boundary.end() ) // treat the boundary as cyclic + it_cur = boundary.begin(); + new_piece.push_back( *it_cur ); + pVert = *it_cur; GW_ASSERT(pVert!=NULL); + } + while( pTrissectorInfoMap->find(pVert->GetID())==pTrissectorInfoMap->end() ); + /* add this to the list */ + boundary_pieces.push_back( new_piece ); + /* compute perimeter */ + GW_Float perim = GW_Mesh::GetPerimeter( new_piece, GW_False ); + Perimeters[num] = perim; + rPerimeter += perim; + /* check for stop */ + if( it_cur == it_start ) + break; + num++; + }; + /* normaly we should have extracted as many piece as they were setted position */ + GW_U32 nNbrPieces = (GW_U32) boundary_pieces.size(); + GW_ASSERT( nNbrPieces==pTrissectorInfoMap->size() ); + /* set up the position for each base point */ + pCyclicPosition->resize( nNbrPieces ); + /* linearly interpolate the position */ + num = 0; + GW_Float theta = 0; + for( std::list::iterator it_piece = boundary_pieces.begin(); it_piece!=boundary_pieces.end(); ++it_piece ) + { + T_VertexList& piece = *it_piece; + /* first compute the position of start & end */ + GW_Vector2D pos1 = GW_Vector2D( cos(theta), sin(theta) ); + theta += GW_TWOPI * Perimeters[num]/rPerimeter; + if( num==nNbrPieces-1 ) + theta = 0; + GW_Vector2D pos2 = GW_Vector2D( cos(theta), sin(theta) ); + /* set up the cyclic ordering of vertices */ + GW_ASSERT( pTrissectorInfoMap->find(piece.front()->GetID())!=pTrissectorInfoMap->end() ); + GW_TrissectorInfo& tr = (*pTrissectorInfoMap)[piece.front()->GetID()]; + tr.SetPosition( pos1 ); + (*pCyclicPosition)[num] = tr; + /* compute the position of each point */ + GW_Float rLength = Perimeters[num]; + GW_Float curv_abs = 0; // curvilinear absice + GW_Vertex* pPrev = NULL; + for( IT_VertexList it = piece.begin(); it!=piece.end(); ++it ) + { + GW_Vertex* pVert = *it; GW_ASSERT( pVert!=NULL ); + if( pPrev!=NULL ) + curv_abs += (pVert->GetPosition()-pPrev->GetPosition()).Norm(); + GW_Float lambda = curv_abs/rLength; + GW_Vector2D pos = pos1*(1-lambda) + pos2*lambda; + Positions[ pVert->GetID() ] = pos; + pPrev = pVert; + } + num++; + } + + } + /* set up the new matrix ****************************************************/ + GW_U32 p = Mesh.GetNbrVertex(); + for( IT_Vector2DMap it=Positions.begin(); it!=Positions.end(); ++it ) + { + GW_U32 i = it->first; + K.SetRowSize(i,0); + K.SetRowSize(i,1); + K.SetData(i,i,1); + } + + /* solve the system *********************************************************/ + GW_VectorND x(p, GW_Float(0)); // solution + for( GW_U32 coord = 0; coord<2; ++coord ) + { + /* build RHS */ + GW_VectorND b(p, GW_Float(0)); // rhs + for( IT_Vector2DMap it=Positions.begin(); it!=Positions.end(); ++it ) + { + GW_U32 i = it->first; + GW_Vector2D pos = it->second; + b.SetData(i, pos[coord]); + } + + /* solve system */ + cout << " * System resolution."; + GW_Parameterization::SolveSystem( K, x, b ); + + for( GW_U32 j=0; jGetID(); + Mesh.ResetGeodesicMesh(); + Mesh.PerformFastMarching( pVert ); + for( GW_U32 j=0; jGetDistance()*pVert2->GetDistance() ); + } + i++; + pb.Update(((GW_Float)i)/((GW_Float)BaseVertex.size())); + } + pb.End(); + cout << endl; + /* flatten the base points *************************************************************************************/ + /* build the distance matrix */ + GW_MatrixNxP M(p,p,0.0); + for( GW_U32 i=0; iSetPosition( GW_Vector3D(Pos[0], Pos[1], 0) ); + } + // rescale the mesh. + FlattenedMesh.ScaleVertex( 5/FlattenedMesh.GetBoundingRadius() ); +} + + + + + + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::ParameterizeAllRegions +/** + * \param Mesh [GW_GeodesicMesh&] The mesh. Must have been cut in separated component. + * \param VertList [T_GeodesicVertexList&] Seed points. + * \author Gabriel Peyré + * \date 7-3-2003 + * + * Parameterize each region of the mesh. + */ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::ParameterizeAllRegions( T_GeodesicVertexList& VertList ) +{ + /* clear previous mesh list */ + for( IT_MeshVector itMesh=MeshVector_.begin(); itMesh!=MeshVector_.end(); ++itMesh ) + { + GW_GeodesicMesh* pMesh = (GW_GeodesicMesh*) *itMesh; + GW_DELETE( pMesh ); + } + MeshVector_.clear(); + MeshVector_.resize( VertList.size() ); + IT_GeodesicVertexList it = VertList.begin(); + for( GW_U32 i=0; iParameterizeRegion( *pVert, *pMesh ); + it++; + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::ParameterizeRegion +/** + * \param Seed [GW_GeodesicVertex&] Seed of the region. + * \param BaseDomain [GW_GeodesicMesh&] The domain of the parameterization. + * \author Gabriel Peyré + * \date 7-3-2003 + * + * Parameterize a given part of the mesh. + */ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::ParameterizeRegion( GW_GeodesicVertex& Seed, GW_GeodesicMesh& BaseDomain ) +{ + +} + + + + + + + + + + + + + + + + +/* assign to each vertex a pointer to the center of its Voronoi cell */ +GW_GeodesicVertex** VertexVoronoiCells; +GW_GeodesicVertex* pMaxDistVert; +GW_Float rMaxDist; +/** We add a new point only if it belongs to the current Voronoi diagram */ +GW_Bool GW_Parameterization::PerformPseudoLloydIteration_Insertion( GW_GeodesicVertex& CurVert, GW_Float rNewDist ) +{ + GW_ASSERT( pCurVoronoiDiagram_!=NULL ); + GW_ASSERT( VertexVoronoiCells!=NULL ); + GW_GeodesicVertex* pVertVoronoiDiagram = VertexVoronoiCells[CurVert.GetID()]; + return pVertVoronoiDiagram == pCurVoronoiDiagram_; +} +void GW_Parameterization::PerformPseudoLloydIteration_NeswDead( GW_GeodesicVertex& Vert ) +{ + if( Vert.GetDistance()>=rMaxDist ) + { + rMaxDist = Vert.GetDistance(); + pMaxDistVert = ‖ + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::PerformPseudoLloydIteration +/** + * \param Mesh [GW_GeodesicMesh&] The mesh. + * \param VertList [T_GeodesicVertexList&] List of center of the Voronoi cells. + * \author Gabriel Peyré + * \date 1-14-2004 + * + * Perform a centering step for each Voronoi region. + */ +/*------------------------------------------------------------------------------*/ +void GW_Parameterization::PerformPseudoLloydIteration( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList ) +{ + VertexVoronoiCells = new GW_GeodesicVertex*[Mesh.GetNbrVertex()]; + /* recompute the whole distance map */ + GW_OutputComment("Recomputing the whole original Voronoi diagram."); + this->PerformFastMarching( Mesh, VertList ); + + /* duplicate the Marching information */ + for( GW_U32 i=0; iGetFront(); + } + + /* compute the border of each cell */ + std::map CellBoundaryMap; + for( GW_U32 i=0; iGetVertex(j1); GW_ASSERT( pVert1!=NULL ); + GW_GeodesicVertex* pVert2 = (GW_GeodesicVertex*) pFace->GetVertex(j2); GW_ASSERT( pVert2!=NULL ); + if( pVert1->GetFront()!=pVert2->GetFront() && pVert1->GetFront()!=NULL ) + { + GW_U32 nID = pVert1->GetFront()->GetID(); + if( CellBoundaryMap.find(nID)==CellBoundaryMap.end() ) + CellBoundaryMap[nID] = new T_GeodesicVertexList; // we should create a new map + T_GeodesicVertexList* pCurMap = CellBoundaryMap[nID]; + pCurMap->push_back(pVert1); + } + } + } + + /* perform the centering for each cell */ + T_GeodesicVertexList NewVertList; + Mesh.RegisterWeightCallbackFunction( GW_GeodesicMesh::BasicWeightCallback ); // we don't want to use some special energy + Mesh.RegisterVertexInsersionCallbackFunction( PerformPseudoLloydIteration_Insertion ); + Mesh.RegisterNewDeadVertexCallbackFunction( PerformPseudoLloydIteration_NeswDead ); + GW_U32 num = 0; + cout << " * Centering vertices "; + GW_ProgressBar pb; + pb.Begin(); + for( IT_GeodesicVertexList it = VertList.begin(); it!=VertList.end(); ++it ) + { + GW_GeodesicVertex* pCenterVert = *it; GW_ASSERT( pCenterVert!=NULL ); + GW_U32 nID = pCenterVert->GetID(); + /* retrieve the list of boundary vertices */ + GW_ASSERT( CellBoundaryMap.find(nID)!=CellBoundaryMap.end() ); + if( CellBoundaryMap.find(nID)!=CellBoundaryMap.end() ) // in case this is a closed region ... + { + T_GeodesicVertexList* pBoundaryVerts = CellBoundaryMap[nID]; + /* perform a local propagation, by restricting it to the cell */ + pCurVoronoiDiagram_ = pCenterVert; + pMaxDistVert = NULL; + rMaxDist = 0; + GW_Parameterization::PerformFastMarching( Mesh, *pBoundaryVerts ); + /* perhaps check here if we can find better */ + GW_ASSERT( pMaxDistVert!=NULL ); + NewVertList.push_back( pMaxDistVert ); + num++; + pb.Update( ((GW_Float)num)/((GW_Float)VertList.size()) ); + } + else + NewVertList.push_back( pCenterVert ); + } + pb.End(); + cout << endl; + pCurVoronoiDiagram_ = NULL; + Mesh.RegisterVertexInsersionCallbackFunction( NULL ); + Mesh.RegisterNewDeadVertexCallbackFunction( NULL ); + + + /* replace the old list by the new one */ + VertList = NewVertList; + + GW_DELETEARRAY(VertexVoronoiCells); + /* clear the maps */ + for( std::map::iterator it=CellBoundaryMap.begin(); it!=CellBoundaryMap.end(); ++it ) + GW_DELETE(it->second); +} + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_Parameterization.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_Parameterization.h new file mode 100644 index 0000000..4de46ad --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_Parameterization.h @@ -0,0 +1,312 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Parameterization.h + * \brief Definition of class \c GW_Parameterization + * \author Gabriel Peyré + * \date 7-1-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_PARAMETERIZATION_H_ +#define _GW_PARAMETERIZATION_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_ProgressBar.h" +#include "GW_GeodesicMesh.h" +#include "GW_VoronoiMesh.h" + +namespace GW { + +class GW_TrissectorInfo +{ +public: + GW_TrissectorInfo(GW_I32 interior = -1, GW_I32 exterior1 = -1, GW_I32 exterior2 = -1) + { + nInterior_ = interior; + nExterior1_ = exterior1; + nExterior2_ = exterior2; + } + + virtual GW_TrissectorInfo& operator=(const GW_TrissectorInfo& v) + { + nInterior_ = v.nInterior_; + nExterior1_ = v.nExterior1_; + nExterior2_ = v.nExterior2_; + Pos_ = v.Pos_; + return *this; + } + GW_I32 GetInterior() + { + return nInterior_; + } + GW_I32 GetExterior(GW_U32 i) + { + GW_ASSERT(i<2); + if( i==0 ) + return nExterior1_; + if( i==1 ) + return nExterior2_; + return -1; + } + void SetInterior(GW_U32 val) + { + nInterior_ = val; + } + void SetExterior(GW_U32 i, GW_U32 val) + { + GW_ASSERT(i<2); + if( i==0 ) + nExterior1_ = val; + if( i==1 ) + nExterior2_ = val; + } + GW_U32 GetId(GW_U32 i) + { + GW_ASSERT(i<3); + if( i==0 ) + return nExterior1_; + if( i==1 ) + return nExterior2_; + if( i==2 ) + return nInterior_; + return -1; + } + void SetId(GW_U32 i, GW_U32 val) + { + GW_ASSERT(i<3); + if( i==0 ) + nExterior1_ = val; + if( i==1 ) + nExterior2_ = val; + if( i==2 ) + nInterior_ = val; + } + + void SetPosition( GW_Vector2D& pos ) + { Pos_ = pos; } + GW_Vector2D& GetPosition() + { return Pos_; } + +private: + + GW_I32 nInterior_; + GW_I32 nExterior1_; + GW_I32 nExterior2_; + + GW_Vector2D Pos_; +}; + + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_TrissectorInfo */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_TrissectorInfoMap; +typedef T_TrissectorInfoMap::iterator IT_TrissectorInfoMap; +typedef T_TrissectorInfoMap::reverse_iterator RIT_TrissectorInfoMap; +typedef T_TrissectorInfoMap::const_iterator CIT_TrissectorInfoMap; +typedef T_TrissectorInfoMap::const_reverse_iterator CRIT_TrissectorInfoMap; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a vector of GW_TrissectorInfo */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::vector T_TrissectorInfoVector; +typedef T_TrissectorInfoVector::iterator IT_TrissectorInfoVector; +typedef T_TrissectorInfoVector::reverse_iterator RIT_TrissectorInfoVector; +typedef T_TrissectorInfoVector::const_iterator CIT_TrissectorInfoVector; +typedef T_TrissectorInfoVector::const_reverse_iterator CRIT_TrissectorInfoVector; +//@} + + + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_Parameterization + * \brief Build a parameterization of a mesh. + * \author Gabriel Peyré + * \date 7-1-2003 + * + * First segement the mesh using a Lloyd method. + * Then parameterize each region. + */ +/*------------------------------------------------------------------------------*/ + +class GW_Parameterization +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_Parameterization(); + virtual ~GW_Parameterization(); + //@} + + //------------------------------------------------------------------------- + /** \name Lloyd algorithm */ + //------------------------------------------------------------------------- + //@{ + void PerformLloydAlgorithm( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList ); + GW_Bool PerformLloydIteration( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList ); + GW_GeodesicVertex& PerformCentering( GW_GeodesicVertex& Vert, GW_GeodesicMesh& Mesh ); + void PerformPseudoLloydIteration( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList ); + //@} + + //------------------------------------------------------------------------- + /** \name Segementation. */ + //------------------------------------------------------------------------- + //@{ + void SegmentRegion( GW_GeodesicMesh& Mesh, GW_GeodesicVertex& Vert, T_TrissectorInfoMap* pTrissectorInfoMap = NULL ); + void SegmentAllRegions( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList, T_TrissectorInfoMap* pTrissectorInfoMap = NULL ); + //@} + + //------------------------------------------------------------------------- + /** \name Parameterization. */ + //------------------------------------------------------------------------- + //@{ + enum T_ParameterizationType + { + kGeodesicConformal, + kTutte, + kGeodesicIsomap, + kGeodesicLLE, + }; + enum T_ResolutionType + { + kSpectral, + kBoundaryFree, + kBoundaryFixed + }; + void ParameterizeMesh( GW_GeodesicMesh& Mesh, GW_VoronoiMesh& VoronoiMesh, GW_GeodesicMesh& FlattenedMesh, + T_ParameterizationType ParamType = kGeodesicIsomap, T_ResolutionType ResolType = kSpectral, + T_GeodesicVertexMap* pBoundaryVertPos = NULL ); + + /* parameterization helpers **************************************************/ + static void BuildConformalMatrix( GW_Mesh& VoronoiMesh, GW_SparseMatrix& K, const GW_MatrixNxP* M = NULL); + static void BuildTutteMatrix( GW_Mesh& VoronoiMesh, GW_SparseMatrix& K ); + static void ResolutionSpectral( GW_MatrixNxP& K, GW_MatrixNxP& L, GW_U32 EIG = 0 ); + static void ResolutionBoundaryFree( GW_Mesh& VoronoiMesh, GW_SparseMatrix& K, GW_MatrixNxP& L, GW_MatrixNxP* M = NULL ); + static void ResolutionBoundaryFixed( GW_Mesh& Mesh, GW_SparseMatrix& K, GW_MatrixNxP& L, + T_Vector2DMap* pInitialPos = NULL, T_TrissectorInfoMap* pTrissectorInfoMap = NULL, + T_TrissectorInfoVector* pCyclicPosition = NULL ); + + void ParameterizeRegion( GW_GeodesicVertex& Seed, GW_GeodesicMesh& BaseDomain ); + void ParameterizeAllRegions( T_GeodesicVertexList& VertList ); + //@} + + static void ExtractSubMeshes( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList, + T_GeodesicMeshVector& MeshVector, T_U32Vector* pGlobal2LocalID = NULL ); + static void SplitMesh( GW_GeodesicMesh& Mesh ); + + //------------------------------------------------------------------------- + /** \name Pretty helper. */ + //------------------------------------------------------------------------- + //@{ + static void ExplodeRegion( GW_GeodesicVertex& Vert, GW_Float intensity, GW_Float normal_contrib ); + static void ExplodeAllRegions( T_GeodesicVertexList& VertList, GW_Float intensity = 0.1, GW_Float normal_contrib=0.5 ); + //@} + + static void PerformFastMarching( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList ); + +private: + + + /* Lloyd helpers *************************************************************************/ + GW_U32 nNbrMaxIterLloyd_; + GW_U32 nNbrMaxIterLloydDescent_; + static GW_GeodesicVertex* pCurVoronoiDiagram_; + GW_Float ComputeCenteringEnergy( GW_GeodesicVertex& Vert, GW_GeodesicVertex& StartVert, GW_GeodesicMesh& Mesh ); + static GW_Bool FastMarchingCallbackFunction_Centering( GW_GeodesicVertex& CurVert, GW_Float rNewDist ); + + /* pseudo Lloyd helpers ******************************************************************/ + static GW_Bool PerformPseudoLloydIteration_Insertion( GW_GeodesicVertex& CurVert, GW_Float rNewDist ); + static void PerformPseudoLloydIteration_NeswDead( GW_GeodesicVertex& Vert ); + + /* segmentation helpers ******************************************************************/ + void CutFace( GW_Face& Face, GW_GeodesicVertex& BaseVert, GW_GeodesicMesh& Mesh, T_TrissectorInfoMap* pTrissectorInfoMap = NULL ); + void CutEdge( GW_GeodesicVertex& Vert1, GW_GeodesicVertex& Vert2, + GW_GeodesicVertex* &pInter_1, GW_GeodesicVertex* &pInter_2, GW_GeodesicMesh& Mesh ); + /** a table of synonym */ + T_U32Map VertexConnexion_; + + /* ExtractSubMesh helper ****************************************************************/ + static void ExtractSubMeshes_Callback( GW_Face& face ); + static T_U32Vector FaceVector; + static T_U32Map FaceMap; + static T_U32Vector VertexVector; + static T_U32Map VertexMap; + + /* system resolution *********************************************************************/ + static void SolveSystem( GW_SparseMatrix& M, GW_VectorND& x, GW_VectorND& b ); + + /** record information about a cut */ + class GW_EdgeCut + { + public: + GW_EdgeCut() + { + pBaseVert_[0] = NULL; + pBaseVert_[1] = NULL; + pNewVert_[0] = NULL; + pNewVert_[1] = NULL; + } + GW_EdgeCut( GW_GeodesicVertex& BaseVert1, GW_GeodesicVertex& BaseVert2, + GW_GeodesicVertex& NewVert1, GW_GeodesicVertex& NewVert2 ) + { + pBaseVert_[0] = &BaseVert1; + pBaseVert_[1] = &BaseVert2; + pNewVert_[0] = &NewVert1; + pNewVert_[1] = &NewVert2; + } + GW_EdgeCut& operator = (const GW_EdgeCut& c) + { + pBaseVert_[0] = c.pBaseVert_[0]; + pBaseVert_[1] = c.pBaseVert_[1]; + pNewVert_[0] = c.pNewVert_[0]; + pNewVert_[1] = c.pNewVert_[1]; + return *this; + } + GW_GeodesicVertex* GetNewVertex( GW_GeodesicVertex& BaseVert ) + { + if( &BaseVert == pBaseVert_[0] ) + return pNewVert_[0]; + if( &BaseVert == pBaseVert_[1] ) + return pNewVert_[1]; + return NULL; + } + private: + + GW_GeodesicVertex* pBaseVert_[2]; + GW_GeodesicVertex* pNewVert_[2]; + }; + + typedef std::map T_EdgeCutMap; + + /** record each edge split, with corresponding added vertices */ + T_EdgeCutMap CutEdgeMap_; + + /** record each parameterization */ + T_MeshVector MeshVector_; + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_Parameterization.inl" +#endif + + +#endif // _GW_PARAMETERIZATION_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_Parameterization.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_Parameterization.inl new file mode 100644 index 0000000..5c6e5c2 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_Parameterization.inl @@ -0,0 +1,322 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Parameterization.inl + * \brief Inlined methods for \c GW_Parameterization + * \author Gabriel Peyré + * \date 7-1-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_Parameterization.h" + +namespace GW { + +GW_INLINE +GW_Float GW_Parameterization::ComputeCenteringEnergy( GW_GeodesicVertex& Vert, GW_GeodesicVertex& StartVert, GW_GeodesicMesh& Mesh ) +{ + /* compute a fast marching and confine it to local voronoi digram */ + pCurVoronoiDiagram_ = &StartVert; + Mesh.RegisterVertexInsersionCallbackFunction( FastMarchingCallbackFunction_Centering ); + GW_VoronoiMesh::ResetOnlyVertexState( Mesh ); + Mesh.PerformFastMarching( &Vert ); + pCurVoronoiDiagram_ = NULL; + Mesh.RegisterVertexInsersionCallbackFunction( NULL ); + + /* march on the voronoi diagram */ + GW_Float rTotalEnergy = 0; + T_FaceList FaceToProceed; + FaceToProceed.push_back( Vert.GetFace() ); + T_FaceMap FaceMap; + FaceMap[ Vert.GetFace()->GetID() ] = Vert.GetFace(); + + while( !FaceToProceed.empty() ) + { + GW_Face* pFace = FaceToProceed.front(); + GW_ASSERT( pFace!=NULL ); + FaceToProceed.pop_front(); + + /* compute contribution, for the moment, simple method. + Todo : use area define by previous voronoi regions. */ + GW_Float rArea = pFace->GetArea(); + GW_Float d[3]; + for( GW_U32 i=0; i<3; ++i ) // retrieve distance + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) pFace->GetVertex(i); + GW_ASSERT( pVert!=NULL ); + d[i] = pVert->GetDistance(); + } + rTotalEnergy += rArea*(d[0]*d[0] + d[1]*d[1] + d[2]*d[2])/3; + + /* add neighbors */ + for( GW_U32 i=0; i<3; ++i ) + { + GW_Face* pNewFace = pFace->GetFaceNeighbor(i); + if( pNewFace!=NULL && FaceMap.find(pNewFace->GetID())==FaceMap.end() ) + { + GW_Bool bAddThisFace = GW_False; + for( GW_U32 nVert=0; nVert<3; ++nVert ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) pNewFace->GetVertex(i); + GW_ASSERT( pVert!=NULL ); + if( pVert->GetFront()==&Vert ) + { + bAddThisFace = GW_True; + break; + } + } + if( bAddThisFace ) + { + FaceToProceed.push_back( pNewFace ); + FaceMap[ pNewFace->GetID() ] = pNewFace; // so that it won't be added anymore + } + } + } + } + + return rTotalEnergy; +} + +GW_INLINE +void GW_Parameterization::CutEdge( GW_GeodesicVertex& Vert1, GW_GeodesicVertex& Vert2, + GW_GeodesicVertex* &pInter_1, GW_GeodesicVertex* &pInter_2, GW_GeodesicMesh& Mesh ) +{ + GW_Float eps = 0.0; + GW_U32 nID = GW_Vertex::ComputeUniqueId( Vert1, Vert2 ); + if( CutEdgeMap_.find(nID)==CutEdgeMap_.end() ) + { + GW_Float lambda; + GW_Vector3D pos; + /* this edge has not been previously cutted : do so ! */ + GW_GeodesicVertex::ComputeFrontIntersection( Vert1, Vert2, &pos, &lambda ); + if( lambda1-eps ) + lambda = 1; + pos = Vert1.GetPosition()*lambda + Vert2.GetPosition()*(1-lambda); + GW_Float rNewDist = Vert1.GetDistance()*lambda + Vert2.GetDistance()*(1-lambda); + GW_Vector3D Normal = Vert1.GetNormal()*lambda + Vert2.GetNormal()*(1-lambda); + Normal.Normalize(); + + GW_Vector3D t1( Vert1.GetTexCoordU(), Vert1.GetTexCoordV(), 0 ); + GW_Vector3D t2( Vert2.GetTexCoordU(), Vert2.GetTexCoordV(), 0 ); + GW_Vector3D tex = t1*lambda + t2*(1-lambda); + + pInter_1 = (GW_GeodesicVertex*) &Mesh.CreateNewVertex(); + Mesh.SetNbrVertex( Mesh.GetNbrVertex()+1 ); + Mesh.SetVertex( Mesh.GetNbrVertex()-1, pInter_1 ); + pInter_1->SetPosition( pos ); + pInter_1->SetDistance( rNewDist ); + pInter_1->SetFront( Vert1.GetFront() ); + pInter_1->SetNormal( Normal ); + pInter_1->SetTexCoords( tex[0],tex[1] ); + + pInter_2 = (GW_GeodesicVertex*) &Mesh.CreateNewVertex(); + Mesh.SetNbrVertex( Mesh.GetNbrVertex()+1 ); + Mesh.SetVertex( Mesh.GetNbrVertex()-1, pInter_2 ); + pInter_2->SetPosition( pos ); + pInter_2->SetDistance( rNewDist ); + pInter_2->SetFront( Vert2.GetFront() ); + pInter_2->SetNormal( Normal ); + pInter_2->SetTexCoords( tex[0],tex[1] ); + + /* save the cut */ + GW_EdgeCut Cut( Vert1, Vert2, *pInter_1, *pInter_2 ); + CutEdgeMap_[nID] = Cut; + } + else + { + /* this edge has already been cut. Use this cut */ + GW_EdgeCut& Cut = CutEdgeMap_[nID]; + pInter_1 = Cut.GetNewVertex( Vert1 ); + pInter_2 = Cut.GetNewVertex( Vert2 ); + } +} + +GW_INLINE +GW_GeodesicFace* CreateNewFace( GW_GeodesicMesh& Mesh, GW_GeodesicVertex* pV1, GW_GeodesicVertex* pV2, GW_GeodesicVertex* pV3 ) +{ + GW_GeodesicFace* pNewFace = (GW_GeodesicFace*) &Mesh.CreateNewFace(); + pNewFace->SetVertex( *pV1, *pV2, *pV3); + Mesh.SetNbrFace( Mesh.GetNbrFace()+1 ); + Mesh.SetFace( Mesh.GetNbrFace()-1, pNewFace ); + return pNewFace; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_Parameterization::CutFace +/** + * \param Face [GW_Face&] The face to cut. + * \param BaseVert [GW_GeodesicVertex&] The origin of the voronoi region we are segmenting. + * \author Gabriel Peyré + * \date 7-1-2003 + * + * Cut a face according to voronoi diagrams. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_Parameterization::CutFace( GW_Face& Face, GW_GeodesicVertex& BaseVert, GW_GeodesicMesh& Mesh, T_TrissectorInfoMap* pTrissectorInfoMap ) +{ + GW_Vector3D pos; + + /* for each vertex see if there is a contribution */ + GW_U32 nNumContrib = 0; + GW_U32 nNumOther = 0; + GW_GeodesicVertex* pVertContrib[3] = { NULL, NULL, NULL }; // the vertice contributing + GW_Float d[3] = { -1, -1, -1 }; // the distance + for( GW_U32 i=0; i<3; ++i ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) Face.GetVertex(i); GW_ASSERT( pVert!=NULL ); + if( pVert->GetFront()==&BaseVert ) + { + pVertContrib[nNumContrib] = pVert; + d[nNumContrib] = pVert->GetDistance(); + nNumContrib++; + } + else + { + pVertContrib[2-nNumOther] = pVert; + d[2-nNumOther] = pVert->GetDistance(); + nNumOther++; + } + } + + /* for each special case, Compute the polygon */ + switch(nNumContrib) { + case 1: + { + /* the contributor is pVertContrib[0], and pVertContrib[1] & pVertContrib[2] are not contributing */ + if( pVertContrib[1]->GetFront()==pVertContrib[2]->GetFront() ) + { + /* compute 1st intersection point. See if we can retrieve from neighbors */ + GW_GeodesicVertex* pInter1_1 = NULL; + GW_GeodesicVertex* pInter1_2 = NULL; + this->CutEdge( *pVertContrib[0], *pVertContrib[1], pInter1_1, pInter1_2, Mesh ); + /* compute 2nd intersection point */ + GW_GeodesicVertex* pInter2_1 = NULL; + GW_GeodesicVertex* pInter2_2 = NULL; + this->CutEdge( *pVertContrib[0], *pVertContrib[2], pInter2_1, pInter2_2, Mesh ); + + /* build the faces. For the moment, don't bother with neighbor relations. */ + Face.SetVertex( *pVertContrib[0], *pInter1_1, *pInter2_1 ); + GW_GeodesicFace* pNewFace1 = CreateNewFace( Mesh, pVertContrib[1], pVertContrib[2], pInter1_2 ); + GW_GeodesicFace* pNewFace2 = CreateNewFace( Mesh, pVertContrib[2], pInter2_2, pInter1_2 ); + /* the face belonging of the old vertices can change ! */ + if( pVertContrib[1]->GetFace()==&Face ) + pVertContrib[1]->SetFace( *pNewFace1 ); + if( pVertContrib[2]->GetFace()==&Face ) + pVertContrib[2]->SetFace( *pNewFace2 ); + } + else + { + /* compute 1st intersection point. See if we can retrieve from neighbors */ + GW_GeodesicVertex* pInter1_1 = NULL; + GW_GeodesicVertex* pInter1_2 = NULL; + this->CutEdge( *pVertContrib[0], *pVertContrib[1], pInter1_1, pInter1_2, Mesh ); + /* compute 2nd intersection point */ + GW_GeodesicVertex* pInter2_1 = NULL; + GW_GeodesicVertex* pInter2_2 = NULL; + this->CutEdge( *pVertContrib[0], *pVertContrib[2], pInter2_1, pInter2_2, Mesh ); + /* compute 3nd intersection point */ + GW_GeodesicVertex* pInter3_1 = NULL; + GW_GeodesicVertex* pInter3_2 = NULL; + this->CutEdge( *pVertContrib[1], *pVertContrib[2], pInter3_1, pInter3_2, Mesh ); + + /* compute center vertices */ + GW_Float rNewDist = (pInter1_1->GetDistance()+pInter2_1->GetDistance()+pInter3_1->GetDistance())/3; + GW_Vector3D pos = (pInter1_1->GetPosition()+pInter2_1->GetPosition()+pInter3_1->GetPosition())/3; + GW_Vector3D Normal = (pInter1_1->GetNormal()+pInter2_1->GetNormal()+pInter3_1->GetNormal())/3; + + GW_GeodesicVertex* pCenter1 = (GW_GeodesicVertex*) &Mesh.CreateNewVertex(); + Mesh.SetNbrVertex( Mesh.GetNbrVertex()+1 ); + Mesh.SetVertex( Mesh.GetNbrVertex()-1, pCenter1 ); + pCenter1->SetDistance(rNewDist); + pCenter1->SetPosition(pos); + pCenter1->SetNormal(Normal); + pCenter1->SetFront( pVertContrib[0]->GetFront() ); + + GW_GeodesicVertex* pCenter2 = (GW_GeodesicVertex*) &Mesh.CreateNewVertex(); + Mesh.SetNbrVertex( Mesh.GetNbrVertex()+1 ); + Mesh.SetVertex( Mesh.GetNbrVertex()-1, pCenter2 ); + pCenter2->SetDistance(rNewDist); + pCenter2->SetPosition(pos); + pCenter2->SetNormal(Normal); + pCenter2->SetFront( pVertContrib[1]->GetFront() ); + + GW_GeodesicVertex* pCenter3 = (GW_GeodesicVertex*) &Mesh.CreateNewVertex(); + Mesh.SetNbrVertex( Mesh.GetNbrVertex()+1 ); + Mesh.SetVertex( Mesh.GetNbrVertex()-1, pCenter3 ); + pCenter3->SetDistance(rNewDist); + pCenter3->SetPosition(pos); + pCenter3->SetNormal(Normal); + pCenter3->SetFront( pVertContrib[2]->GetFront() ); + + + /* add trissector information */ + if( pTrissectorInfoMap!=NULL ) + { + GW_TrissectorInfo trisec1(pVertContrib[0]->GetFront()->GetID(), + pVertContrib[1]->GetFront()->GetID(), + pVertContrib[2]->GetFront()->GetID()); + GW_TrissectorInfo trisec2(pVertContrib[1]->GetFront()->GetID(), + pVertContrib[0]->GetFront()->GetID(), + pVertContrib[2]->GetFront()->GetID()); + GW_TrissectorInfo trisec3(pVertContrib[2]->GetFront()->GetID(), + pVertContrib[0]->GetFront()->GetID(), + pVertContrib[1]->GetFront()->GetID()); + (*pTrissectorInfoMap)[pCenter1->GetID()] = trisec1; + (*pTrissectorInfoMap)[pCenter2->GetID()] = trisec2; + (*pTrissectorInfoMap)[pCenter3->GetID()] = trisec3; + } + + /* Build the faces. For the moment, don't bother with neighbor relations. */ + Face.SetVertex( *pVertContrib[0], *pInter1_1, *pCenter1 ); + CreateNewFace( Mesh, pVertContrib[0], pCenter1, pInter2_1 ); + + GW_GeodesicFace* pNewFace1 = CreateNewFace( Mesh, pVertContrib[1], pCenter2, pInter1_2 ); + CreateNewFace( Mesh, pVertContrib[1], pInter3_1, pCenter2 ); + if( pVertContrib[1]->GetFace()==&Face ) + pVertContrib[1]->SetFace( *pNewFace1 ); + + GW_GeodesicFace* pNewFace2 = CreateNewFace( Mesh, pVertContrib[2], pCenter3, pInter3_2 ); + CreateNewFace( Mesh, pVertContrib[2], pInter2_2, pCenter3 ); + if( pVertContrib[2]->GetFace()==&Face ) + pVertContrib[2]->SetFace( *pNewFace2 ); + } + } + break; + case 2: + { + /* compute 1st intersection point. See if we can retrieve from neighbors */ + GW_GeodesicVertex* pInter1_1 = NULL; + GW_GeodesicVertex* pInter1_2 = NULL; + this->CutEdge( *pVertContrib[0], *pVertContrib[2], pInter1_1, pInter1_2, Mesh ); + /* compute 2nd intersection point */ + GW_GeodesicVertex* pInter2_1 = NULL; + GW_GeodesicVertex* pInter2_2 = NULL; + this->CutEdge( *pVertContrib[1], *pVertContrib[2], pInter2_1, pInter2_2, Mesh ); + /* build the faces. For the moment, don't bother with neighbor relations. */ + Face.SetVertex( *pVertContrib[0], *pInter2_1, *pVertContrib[1] ); + CreateNewFace( Mesh, pVertContrib[0], pInter1_1, pInter2_1 ); + GW_GeodesicFace* pNewFace2 = CreateNewFace( Mesh, pInter1_2, pVertContrib[2], pInter2_2 ); + if( pVertContrib[2]->GetFace()==&Face ) + pVertContrib[2]->SetFace( *pNewFace2 ); + } + break; + case 3: + /* no cut should be performed */ + break; + default: + GW_ASSERT(GW_False); + return; + } +} + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation.cpp new file mode 100644 index 0000000..3ff3917 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation.cpp @@ -0,0 +1 @@ +#error removed \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation.h new file mode 100644 index 0000000..3ff3917 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation.h @@ -0,0 +1 @@ +#error removed \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation.inl new file mode 100644 index 0000000..3ff3917 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation.inl @@ -0,0 +1 @@ +#error removed \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_ABC.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_ABC.h new file mode 100644 index 0000000..c45c703 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_ABC.h @@ -0,0 +1,63 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_ABC.h + * \brief Definition of class \c GW_TriangularInterpolation_ABC + * \author Gabriel Peyré + * \date 5-2-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_TRIANGULARINTERPOLATION_H_ +#define _GW_TRIANGULARINTERPOLATION_H_ + +#include "../gw_core/GW_Config.h" +#include "GW_GeodesicVertex.h" + +namespace GW { + +class GW_GeodesicFace; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_TriangularInterpolation_ABC + * \brief Data structure to interpolate data on a triangle. + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Use a \c GW_GeodesicFace to compute the coefficient of a 2nd + * degree polynom that fit distance function. + */ +/*------------------------------------------------------------------------------*/ + +class GW_TriangularInterpolation_ABC +{ + +public: + + enum T_TriangulationInterpolationType + { + kLinearTriangulationInterpolation, + kQuadraticTriangulationInterpolation, + kCubicTriangulationInterpolation + }; + + virtual void SetUpTriangularInterpolation( GW_GeodesicFace& Face ) = 0; + virtual void ComputeGradient( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Float x, GW_Float y, GW_Float& dx, GW_Float& dy ) = 0; + virtual GW_Float ComputeValue( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Float x, GW_Float y ) = 0; + virtual T_TriangulationInterpolationType GetType() = 0; + +}; + +} // End namespace GW + +#endif // _GW_TRIANGULARINTERPOLATION_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Cubic.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Cubic.cpp new file mode 100644 index 0000000..0c56c98 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Cubic.cpp @@ -0,0 +1,479 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_Cubic.cpp + * \brief Definition of class \c GW_TriangularInterpolation_Cubic + * \author Gabriel Peyré + * \date 5-2-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_TriangularInterpolation_Cubic.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_TriangularInterpolation_Cubic.h" +#include "GW_GeodesicFace.h" + +#ifndef GW_USE_INLINE + #include "GW_TriangularInterpolation_Cubic.inl" +#endif + +using namespace GW; + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Cubic::SetLocalGradient +/** +* \param grad [GW_Vector3D] The gradient. +* \author Gabriel Peyré +* \date 5-6-2003 +* +* Set the value of the gradient in local coords. +*/ +/*------------------------------------------------------------------------------*/ +void GW_TriangularInterpolation_Cubic::SetLocalGradient( GW_Vector3D& grad, GW_GeodesicFace& Face, GW_GeodesicVertex& Vert ) +{ + this->ComputeLocalBasis( Face ); + GW_I32 nNum = Face.GetEdgeNumber( Vert ); + GW_ASSERT( nNum>=0 ); + LocalGradient_[nNum][0] = grad*u; + LocalGradient_[nNum][1] = grad*v; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Cubic constructor +/** + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_TriangularInterpolation_Cubic::GW_TriangularInterpolation_Cubic() +: bIsLocalBasisComputed_( GW_False ) +{ + /* NOTHING */ +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Cubic destructor +/** + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_TriangularInterpolation_Cubic::~GW_TriangularInterpolation_Cubic() +{ + /* NOTHING */ +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Cubic::SetUpTriangularInterpolation +/** + * \param Face [GW_GeodesicFace&] The face. + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Compute the coefficients of the interpolation. + */ +/*------------------------------------------------------------------------------*/ +void GW_TriangularInterpolation_Cubic::SetUpTriangularInterpolation( GW_GeodesicFace& Face ) +{ + /* retrieve vertex and length */ + GW_GeodesicVertex* pV0 = (GW_GeodesicVertex*) Face.GetVertex(0); GW_ASSERT( pV0!=NULL ); + GW_GeodesicVertex* pV1 = (GW_GeodesicVertex*) Face.GetVertex(1); GW_ASSERT( pV1!=NULL ); + GW_GeodesicVertex* pV2 = (GW_GeodesicVertex*) Face.GetVertex(2); GW_ASSERT( pV2!=NULL ); + + GW_Face* pFace0 = Face.GetFaceNeighbor(0); + GW_Face* pFace1 = Face.GetFaceNeighbor(1); + GW_Face* pFace2 = Face.GetFaceNeighbor(2); + GW_GeodesicVertex *pW0 = NULL, *pW1 = NULL, *pW2 = NULL; + + if( pFace0!=NULL ) + pW0 = (GW_GeodesicVertex*) pFace0->GetVertex( *pV1, *pV2 ); + if( pFace1!=NULL ) + pW1 = (GW_GeodesicVertex*) pFace1->GetVertex( *pV0, *pV2 ); + if( pFace2!=NULL ) + pW2 = (GW_GeodesicVertex*) pFace2->GetVertex( *pV0, *pV1 ); + + GW_Vector3D& V0 = pV0->GetPosition(); + GW_Vector3D& V1 = pV1->GetPosition(); + GW_Vector3D& V2 = pV2->GetPosition(); + GW_Vector3D W0, W1, W2; + + if( pW0!=NULL ) + W0 = pW0->GetPosition(); + else + W0 = (V1+V2)*0.5; + if( pW1!=NULL ) + W1 = pW1->GetPosition(); + else + W1 = (V0+V1)*0.5; + if( pW2!=NULL ) + W2 = pW2->GetPosition(); + else + W2 = (V0+V1)*0.5; + + /* edge of the main triangle */ + GW_Vector3D e0 = V0-V2; + GW_Vector3D e1 = V1-V2; + GW_Vector3D e2 = V1-V0; + /* edge of side triangles */ + GW_Vector3D s0 = W0 - V2; + GW_Vector3D s1 = W1 - V2; + GW_Vector3D s2 = W2 - V0; + + GW_Float l0 = ~e0; + GW_Float l1 = ~e1; + GW_Float l2 = ~e2; + GW_Float m0 = ~s0; + GW_Float m1 = ~s1; + GW_Float m2 = ~s2; + + + /* compute the orthonormal basis in which the interpolation is performed */ + u = e0/l0; + v = ( (u^e1)^u ); + v.Normalize(); + w = V2; // origin + + /* now compute angles */ + GW_Float a = acos( (e0*e1)/(l0*l1) ); + GW_Float b = acos( (e1*s0)/(l1*m0) ); + GW_Float c = acos( (e0*s1)/(l0*m1) ); + GW_Float d = acos(-(e0*e2)/(l0*l2) ); + GW_Float e = acos( (e2*s2)/(l2*m2) ); + + /* compute 2D position of points. + Point 0,1,2 are V0,V1,V2 Points 3,4,5 are W0,W1,W2 */ + GW_Float Points[6][2]; + + Points[0][0] = l0; + Points[0][1] = 0; + + Points[1][0] = l1*cos(a); + Points[1][1] = l1*sin(a); + + Points[2][0] = 0; + Points[2][1] = 0; + + + Points[3][0] = m0*cos(a+b); + Points[3][1] = m0*sin(a+b); + + Points[4][0] = m1*cos(c); + Points[4][1] = -m1*sin(c); + + Points[5][0] = l0 - m2*cos(d+e); + Points[5][1] = m2*sin(d+e); + + /* compute values */ + GW_Float Values[6]; + Values[0] = pV0->GetDistance(); + Values[1] = pV1->GetDistance(); + Values[2] = pV2->GetDistance(); + + if( pW0!=NULL ) + Values[3] = pW0->GetDistance(); + else + Values[3] = (Values[1]+Values[2])*0.5; + + if( pW1!=NULL ) + Values[4] = pW1->GetDistance(); + else + Values[4] = (Values[0]+Values[2])*0.5; + + if( pW2!=NULL ) + Values[5] = pW2->GetDistance(); + else + Values[5] = (Values[0]+Values[1])*0.5; + + /* compute the coefficients, given in that order : 0->cst, 1->X, 2->Y, 3->XY, 4->X^2, 5->Y^2. */ + GW_Maths::Fit2ndOrderPolynomial2D( Points, Values, Coeffs ); + + GW_Float r1 = this->ComputeValue( *pV0, *pV1, *pV2, 0.33, 0.33 ); + GW_Float r2 = this->ComputeValue( *pV0, *pV1, *pV2, 0, 0.5 ); +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Cubic::ComputeGradient +/** + * \param v0 [GW_GeodesicVertex&] 1st vertex of local frame. + * \param v1 [GW_GeodesicVertex&] 2nd vertex. + * \param v2 [GW_GeodesicVertex&] 3rd vertex. + * \param x [GW_Float] x local coord. + * \param y [GW_Float] y local coord. + * \param dx [GW_Float&] x coord of the gradient in local coord. + * \param dy [GW_Float&] y coord of the gradient in local coord. + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Compute the gradient at given point in local frame. + */ +/*------------------------------------------------------------------------------*/ +void GW_TriangularInterpolation_Cubic::ComputeGradient( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, GW_Float x, GW_Float y, GW_Float& dx, GW_Float& dy ) +{ + /* compute local basis */ + GW_Vector3D& e = v2.GetPosition(); // origin + GW_Vector3D e0 = v0.GetPosition() - e; + GW_Vector3D e1 = v1.GetPosition() - e; + + /* compute (s,t) the parameter of the point M in basis (w;u,v). We use equality : + M = w + s u + t v = e + x e0 + y e1 so : + s = x + y + + t = x + y + + i.e. : + |s| | | |x| || + |t| = | |*|y| + || + */ + GW_Vector3D trans = e-w; + /* compute passage matrix */ + GW_Float p00 = e0*u; + GW_Float p01 = e1*u; + GW_Float p10 = e0*v; + GW_Float p11 = e1*v; + GW_Float s = x*p00 + y*p01 + (trans*u); + GW_Float t = x*p10 + y*p11 + (trans*v); + + /* now we can compute the gradient in orthogonal basis (w;u,v) */ + GW_Float gu = Coeffs[1] + Coeffs[3]*t + Coeffs[4]*2*s; + GW_Float gv = Coeffs[2] + Coeffs[3]*s + Coeffs[5]*2*t; + + /* convert from orthogonal basis to local basis : + | | |dx| |gu| + | |*|dy| = |gv| + ie : + |dx| | p11 -p01| |gu| + |dy| = 1/det * |-p10 p00|*|gv| */ + GW_Float rDet = p00*p11 - p01*p10; + GW_ASSERT( rDet!=0 ); + dx = 1/rDet * ( p11*gu - p01*gv ) * ~e0; + dy = 1/rDet * (-p10*gu + p00*gv ) * ~e1; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Cubic::ComputeValue +/** + * \param v0 [GW_GeodesicVertex&] 1st vertex of local frame. + * \param v1 [GW_GeodesicVertex&] 2nd vertex. + * \param v2 [GW_GeodesicVertex&] 3rd vertex. + * \param x [GW_Float] x local coord. + * \param y [GW_Float] y local coord. + * \return value of the distance function. + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Compute the value at a given location in the triangle. + */ +/*------------------------------------------------------------------------------*/ +GW_Float GW_TriangularInterpolation_Cubic::ComputeValue( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, GW_Float x, GW_Float y ) +{ + /* compute local basis */ + GW_Vector3D& e = v2.GetPosition(); // origin + GW_Vector3D e0 = v0.GetPosition() - e; + GW_Vector3D e1 = v1.GetPosition() - e; + + /* compute (s,t) the parameter of the point M in basis (w;u,v). We use equality : + M = w + s u + t v = e + x e0 + y e1 so : + s = x + y + + t = x + y + + i.e. : + |s| | | |x| || + |t| = | |*|y| + || + */ + GW_Vector3D trans = e-w; + /* compute passage matrix */ + GW_Float p00 = e0*u; + GW_Float p01 = e1*u; + GW_Float p10 = e0*v; + GW_Float p11 = e1*v; + GW_Float s = x*p00 + y*p01 + (trans*u); + GW_Float t = x*p10 + y*p11 + (trans*v); + + /* now we can compute the value in orthogonal basis (w;u,v) */ + return Coeffs[0] + Coeffs[1]*s + Coeffs[2]*t + Coeffs[3]*s*t + Coeffs[4]*s*s + Coeffs[5]*t*t; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Cubic::ComputeLocalBasis +/** + * \param Face [GW_GeodesicFace&] The face. + * \author Gabriel Peyré + * \date 5-6-2003 + * + * Compute the local basis of the face. + */ +/*------------------------------------------------------------------------------*/ +void GW_TriangularInterpolation_Cubic::ComputeLocalBasis( GW_GeodesicFace& Face ) +{ + if( !bIsLocalBasisComputed_ ) + { + GW_GeodesicVertex* pV0 = (GW_GeodesicVertex*) Face.GetVertex(0); GW_ASSERT( pV0!=NULL ); + GW_GeodesicVertex* pV1 = (GW_GeodesicVertex*) Face.GetVertex(1); GW_ASSERT( pV1!=NULL ); + GW_GeodesicVertex* pV2 = (GW_GeodesicVertex*) Face.GetVertex(2); GW_ASSERT( pV2!=NULL ); + GW_Vector3D& V0 = pV0->GetPosition(); + GW_Vector3D& V1 = pV1->GetPosition(); + GW_Vector3D& V2 = pV2->GetPosition(); + GW_Vector3D e0 = V0-V2; + GW_Vector3D e1 = V1-V2; + GW_Vector3D e2 = V1-V0; + u = e0/e0.Norm(); + v = ( (u^e1)^u ); + v.Normalize(); + w = V2; + } + bIsLocalBasisComputed_ = GW_True; +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Cubic::ComputeLocalGradient +/** + * \param Vert [GW_GeodesicVertex&] The vertex. + * \author Gabriel Peyré + * \date 5-6-2003 + * + * Compute the gradient using a least square approximation on the edges around. + */ +/*------------------------------------------------------------------------------*/ +void GW_TriangularInterpolation_Cubic::ComputeLocalGradient( GW_GeodesicVertex& Vert ) +{ + /* compute the total angle */ + GW_Vector3D PrevEdge; + GW_Float rTotalAngle = 0; + for( GW_VertexIterator it=Vert.BeginVertexIterator(); it!=Vert.EndVertexIterator(); ++it ) + { + GW_Vertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + if( it==Vert.BeginVertexIterator() ) + { + PrevEdge = pVert->GetPosition() - Vert.GetPosition(); + PrevEdge.Normalize(); + } + else + { + GW_Vector3D NextEdge = pVert->GetPosition() - Vert.GetPosition(); + NextEdge.Normalize(); + rTotalAngle += acos( NextEdge*PrevEdge ); + PrevEdge = NextEdge; + } + } + + /* matrix and RHS for least square minimusation */ + GW_Float M[2][2] = {{0,0},{0,0}}; + GW_Float b[2] = {0,0}; + + GW_Float rCurAngle = 0; + PrevEdge.SetZero(); + for( GW_VertexIterator it=Vert.BeginVertexIterator(); it!=Vert.EndVertexIterator(); ++it ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) *it; + GW_ASSERT( pVert!=NULL ); + + GW_Vector3D Edge = pVert->GetPosition() - Vert.GetPosition(); + GW_Float a = Edge.Norm(); + Edge /= a; + + if( it!=Vert.BeginVertexIterator() ) + { + /* update the angle */ + rCurAngle += acos( Edge*PrevEdge ); + } + + /* directional gradient estimation */ + GW_Float delta = (pVert->GetDistance() - Vert.GetDistance())/a; + /* coordonate of the edge on (u,v) [flatened coords] */ + GW_Float eu = a*cos( rCurAngle/rTotalAngle ); + GW_Float ev = a*sin( rCurAngle/rTotalAngle ); + /* update the matrix */ + M[0][0] += eu*eu; + M[0][1] += eu*ev; + M[1][0] += eu*ev; + M[1][1] += ev*ev; + b[0] += delta*eu; + b[1] += delta*ev; + + PrevEdge = Edge; + } + + /* invert the system */ + GW_Float det = M[0][0]*M[1][1] - M[0][1]*M[1][0]; + GW_ASSERT( det!=0 ); + GW_Float gu = 1/det * ( M[1][1]*b[0] - M[0][1]*b[1] ); + GW_Float gv = 1/det * (-M[1][0]*b[0] + M[0][0]*b[1] ); + + /* set the gradient in local coords for each surrounding face */ + rCurAngle = 0; + for( GW_FaceIterator it = Vert.BeginFaceIterator(); it!=Vert.EndFaceIterator(); ++it ) + { + GW_GeodesicFace* pFace = (GW_GeodesicFace*) *it; + GW_ASSERT( pFace!=NULL ); + GW_Vertex* pVert1 = it.GetLeftVertex(); GW_ASSERT( pVert1!=NULL ); + GW_Vertex* pVert2 = it.GetRightVertex(); GW_ASSERT( pVert1!=NULL ); + GW_Vector3D e1 = pVert1->GetPosition() - Vert.GetPosition(); + GW_Vector3D e2 = pVert2->GetPosition() - Vert.GetPosition(); + GW_Float a1 = e1.Norm(); + GW_Float a2 = e2.Norm(); + e1 /= a1; + e2 /= a2; + GW_Float rInnerAngle = acos( e1*e2 ); + /* flattened position of the two vertex */ + GW_Float p1[2], p2[2]; + p1[0] = cos( rCurAngle ); + p1[1] = sin( rCurAngle ); + p2[0] = cos( rCurAngle+rInnerAngle ); + p2[1] = sin( rCurAngle+rInnerAngle ); + + /* we have grad = gu*u + gv*v + we are searching for grad = g1*p1 + g2*p2, so: + gu = g1* + g2* + gv = g1* + g2* + i.e. + |p1[0] p2[0]| |g1| |gu| + |p1[1] p2[1]|*|g2| = |gv| + */ + det = p1[0]*p2[1]-p1[1]*p2[0]; + GW_ASSERT( det!=0 ); + GW_Float g1 = 1/det * ( p2[1]*gu - p2[0]*gv ); + GW_Float g2 = 1/det * (-p1[1]*gu + p1[0]*gv ); + + /* now compute the gradient in world coords */ + GW_Vector3D LocGrad = e1*g1 + e2*g2; + + GW_TriangularInterpolation_ABC* pInterp = pFace->GetTriangularInterpolation(); + if( pInterp==NULL ) + { + pInterp = new GW_TriangularInterpolation_Cubic; + pFace->SetTriangularInterpolation( *pInterp ); + } + GW_ASSERT( pInterp->GetType()==kCubicTriangulationInterpolation ); + + ((GW_TriangularInterpolation_Cubic*) pInterp)->SetLocalGradient( LocGrad, *pFace, Vert ); + + rCurAngle += rInnerAngle; + } + +} + + + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Cubic.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Cubic.h new file mode 100644 index 0000000..57e522c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Cubic.h @@ -0,0 +1,86 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_ABC.h + * \brief Definition of class \c GW_TriangularInterpolation_ABC + * \author Gabriel Peyré + * \date 5-2-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_TRIANGULARINTERPOLATIONCUBIC_H_ +#define _GW_TRIANGULARINTERPOLATIONCUBIC_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_VertexIterator.h" +#include "GW_TriangularInterpolation_ABC.h" + +namespace GW { + +class GW_GeodesicFace; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_TriangularInterpolation_ABC + * \brief Data structure to interpolate data on a triangle. + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Use a \c GW_GeodesicFace to compute the coefficient of a 2nd + * degree polynom that fit distance function. + */ +/*------------------------------------------------------------------------------*/ + +class GW_TriangularInterpolation_Cubic: public GW_TriangularInterpolation_ABC +{ + +public: + + GW_TriangularInterpolation_Cubic(); + virtual ~GW_TriangularInterpolation_Cubic(); + + virtual void SetUpTriangularInterpolation( GW_GeodesicFace& Face ); + void ComputeGradient( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Float x, GW_Float y, GW_Float& dx, GW_Float& dy ); + GW_Float ComputeValue( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Float x, GW_Float y ); + + + T_TriangulationInterpolationType GetType() + { return kQuadraticTriangulationInterpolation; } + + + +private: + + static void ComputeLocalGradient( GW_GeodesicVertex& Vert ); + void SetLocalGradient( GW_Vector3D& grad, GW_GeodesicFace& Face, GW_GeodesicVertex& Vert ); + + void ComputeLocalBasis( GW_GeodesicFace& Face ); + + GW_Float Coeffs[9]; + GW_Vector3D u, v; // orthogonal basis axis + GW_Vector3D w; // orthogonal coord system origin + + GW_Bool bIsLocalBasisComputed_; + + GW_Float LocalGradient_[3][2]; + + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_TriangularInterpolation_Cubic.inl" +#endif + + +#endif // _GW_TRIANGULARINTERPOLATIONCUBIC_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Cubic.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Cubic.inl new file mode 100644 index 0000000..c606e8e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Cubic.inl @@ -0,0 +1,23 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_Cubic.inl + * \brief Inlined methods for \c GW_TriangularInterpolation_Cubic + * \author Gabriel Peyré + * \date 5-2-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_TriangularInterpolation_Cubic.h" + +namespace GW { + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Linear.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Linear.cpp new file mode 100644 index 0000000..98dcdcc --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Linear.cpp @@ -0,0 +1,99 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_Linear.cpp + * \brief Definition of class \c GW_TriangularInterpolation_Linear + * \author Gabriel Peyré + * \date 5-5-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_TriangularInterpolation_Linear.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_TriangularInterpolation_Linear.h" + +#ifndef GW_USE_INLINE + #include "GW_TriangularInterpolation_Linear.inl" +#endif + +using namespace GW; + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Linear::ComputeGradient +/** +* \param v0 [GW_GeodesicVertex&] 1st vertex of local frame. +* \param v1 [GW_GeodesicVertex&] 2nd vertex. +* \param v2 [GW_GeodesicVertex&] 3rd vertex. +* \param x [GW_Float] x local coord. +* \param y [GW_Float] y local coord. +* \param dx [GW_Float&] x coord of the gradient in local coord. +* \param dy [GW_Float&] y coord of the gradient in local coord. +* \author Gabriel Peyré +* \date 5-2-2003 +* +* Compute the gradient at given point in local frame. +*/ +/*------------------------------------------------------------------------------*/ +void GW_TriangularInterpolation_Linear::ComputeGradient( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, GW_Float x, GW_Float y, GW_Float& dx, GW_Float& dy ) +{ + GW_Float d0 = v0.GetDistance(); + GW_Float d1 = v1.GetDistance(); + GW_Float d2 = v2.GetDistance(); + + /* compute gradient */ + GW_Vector3D e0 = v0.GetPosition() - v2.GetPosition(); + GW_Vector3D e1 = v1.GetPosition() - v2.GetPosition(); + GW_Float l0 = e0.Norm(); + GW_Float l1 = e1.Norm(); + e0 /= l0; + e1 /= l1; + GW_Float dot = e0*e1; + /* The gradient in direction (e1,e2) is: + || |(d0-d2)/l0| |gu| + D = || = |(d1-d2)/l1| = |gv| + We are searching for grad(d) = dx e0 + dy e1 wich gives rise to the system : + | 1 dot| |dx| + |dot 1 | * |dy| = D where dot= + ie it is: + 1/det * | 1 -dot|*|gu| + |-dot 1 | |gv| + */ + GW_Float det = 1-dot*dot; + GW_ASSERT( det!=0 ); + GW_Float gu = (d0-d2)/l0; + GW_Float gv = (d1-d2)/l1; + dx = 1/det * ( gu - dot*gv ); + dy = 1/det * (-dot*gu + gv ); +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Linear::ComputeValue +/** +* \param v0 [GW_GeodesicVertex&] 1st vertex of local frame. +* \param v1 [GW_GeodesicVertex&] 2nd vertex. +* \param v2 [GW_GeodesicVertex&] 3rd vertex. +* \param x [GW_Float] x local coord. +* \param y [GW_Float] y local coord. +* \return value of the distance function. +* \author Gabriel Peyré +* \date 5-2-2003 +* +* Compute the value at a given location in the triangle. +*/ +/*------------------------------------------------------------------------------*/ +GW_Float GW_TriangularInterpolation_Linear::ComputeValue( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, GW_Float x, GW_Float y ) +{ + return v0.GetDistance()*x + v1.GetDistance()*y + v2.GetDistance()*(1-x-y); +} + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Linear.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Linear.h new file mode 100644 index 0000000..a949a59 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Linear.h @@ -0,0 +1,63 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_Linear.h + * \brief Definition of class \c GW_TriangularInterpolation_Linear + * \author Gabriel Peyré + * \date 5-5-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_TRIANGULARINTERPOLATION_LINEAR_H_ +#define _GW_TRIANGULARINTERPOLATION_LINEAR_H_ + +#include "../gw_core/GW_Config.h" +#include "GW_TriangularInterpolation_ABC.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_TriangularInterpolation_Linear + * \brief Perform linear interpolation + * \author Gabriel Peyré + * \date 5-5-2003 + * + * No data is stored in this class. + */ +/*------------------------------------------------------------------------------*/ + +class GW_TriangularInterpolation_Linear: public GW_TriangularInterpolation_ABC +{ + +public: + + virtual void SetUpTriangularInterpolation( GW_GeodesicFace& Face ) {}; + void ComputeGradient( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Float x, GW_Float y, GW_Float& dx, GW_Float& dy ); + GW_Float ComputeValue( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Float x, GW_Float y ); + + + T_TriangulationInterpolationType GetType() + { return kLinearTriangulationInterpolation; } + +private: + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_TriangularInterpolation_Linear.inl" +#endif + + +#endif // _GW_TRIANGULARINTERPOLATION_LINEAR_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Linear.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Linear.inl new file mode 100644 index 0000000..c6b3a8f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Linear.inl @@ -0,0 +1,23 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_Linear.inl + * \brief Inlined methods for \c GW_TriangularInterpolation_Linear + * \author Gabriel Peyré + * \date 5-5-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_TriangularInterpolation_Linear.h" + +namespace GW { + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Quadratic.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Quadratic.cpp new file mode 100644 index 0000000..1f37f88 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Quadratic.cpp @@ -0,0 +1,300 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_Quadratic.cpp + * \brief Definition of class \c GW_TriangularInterpolation_Quadratic + * \author Gabriel Peyré + * \date 5-2-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_TriangularInterpolation_Quadratic.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_TriangularInterpolation_Quadratic.h" +#include "GW_GeodesicFace.h" + +#ifndef GW_USE_INLINE + #include "GW_TriangularInterpolation_Quadratic.inl" +#endif + +using namespace GW; + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Quadratic constructor +/** + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_TriangularInterpolation_Quadratic::GW_TriangularInterpolation_Quadratic() +{ + /* NOTHING */ +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Quadratic destructor +/** + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_TriangularInterpolation_Quadratic::~GW_TriangularInterpolation_Quadratic() +{ + /* NOTHING */ +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Quadratic::SetUpTriangularInterpolation +/** + * \param Face [GW_GeodesicFace&] The face. + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Compute the coefficients of the interpolation. + */ +/*------------------------------------------------------------------------------*/ +void GW_TriangularInterpolation_Quadratic::SetUpTriangularInterpolation( GW_GeodesicFace& Face ) +{ + /* retrieve vertex and length */ + GW_GeodesicVertex* pV0 = (GW_GeodesicVertex*) Face.GetVertex(0); GW_ASSERT( pV0!=NULL ); + GW_GeodesicVertex* pV1 = (GW_GeodesicVertex*) Face.GetVertex(1); GW_ASSERT( pV1!=NULL ); + GW_GeodesicVertex* pV2 = (GW_GeodesicVertex*) Face.GetVertex(2); GW_ASSERT( pV2!=NULL ); + + GW_Face* pFace0 = Face.GetFaceNeighbor(0); + GW_Face* pFace1 = Face.GetFaceNeighbor(1); + GW_Face* pFace2 = Face.GetFaceNeighbor(2); + GW_GeodesicVertex *pW0 = NULL, *pW1 = NULL, *pW2 = NULL; + + if( pFace0!=NULL ) + pW0 = (GW_GeodesicVertex*) pFace0->GetVertex( *pV1, *pV2 ); + if( pFace1!=NULL ) + pW1 = (GW_GeodesicVertex*) pFace1->GetVertex( *pV0, *pV2 ); + if( pFace2!=NULL ) + pW2 = (GW_GeodesicVertex*) pFace2->GetVertex( *pV0, *pV1 ); + + GW_Vector3D V0 = pV0->GetPosition(); + GW_Vector3D V1 = pV1->GetPosition(); + GW_Vector3D V2 = pV2->GetPosition(); + GW_Vector3D W0, W1, W2; + + if( pW0!=NULL ) + W0 = pW0->GetPosition(); + else + W0 = (V1+V2)*0.5; + if( pW1!=NULL ) + W1 = pW1->GetPosition(); + else + W1 = (V0+V1)*0.5; + if( pW2!=NULL ) + W2 = pW2->GetPosition(); + else + W2 = (V0+V1)*0.5; + + /* edge of the main triangle */ + GW_Vector3D e0 = V0-V2; + GW_Vector3D e1 = V1-V2; + GW_Vector3D e2 = V1-V0; + /* edge of side triangles */ + GW_Vector3D s0 = W0 - V2; + GW_Vector3D s1 = W1 - V2; + GW_Vector3D s2 = W2 - V0; + + GW_Float l0 = ~e0; + GW_Float l1 = ~e1; + GW_Float l2 = ~e2; + GW_Float m0 = ~s0; + GW_Float m1 = ~s1; + GW_Float m2 = ~s2; + + + /* compute the orthonormal basis in which the interpolation is performed */ + u = e0/l0; + v = ( (u^e1)^u ); + v.Normalize(); + w = V2; // origin + + /* now compute angles */ + GW_Float a = acos( (e0*e1)/(l0*l1) ); + GW_Float b = acos( (e1*s0)/(l1*m0) ); + GW_Float c = acos( (e0*s1)/(l0*m1) ); + GW_Float d = acos(-(e0*e2)/(l0*l2) ); + GW_Float e = acos( (e2*s2)/(l2*m2) ); + + /* compute 2D position of points. + Point 0,1,2 are V0,V1,V2 Points 3,4,5 are W0,W1,W2 */ + GW_Float Points[6][2]; + + Points[0][0] = l0; + Points[0][1] = 0; + + Points[1][0] = l1*cos(a); + Points[1][1] = l1*sin(a); + + Points[2][0] = 0; + Points[2][1] = 0; + + + Points[3][0] = m0*cos(a+b); + Points[3][1] = m0*sin(a+b); + + Points[4][0] = m1*cos(c); + Points[4][1] = -m1*sin(c); + + Points[5][0] = l0 - m2*cos(d+e); + Points[5][1] = m2*sin(d+e); + + /* compute values */ + GW_Float Values[6]; + Values[0] = pV0->GetDistance(); + Values[1] = pV1->GetDistance(); + Values[2] = pV2->GetDistance(); + + if( pW0!=NULL ) + Values[3] = pW0->GetDistance(); + else + Values[3] = (Values[1]+Values[2])*0.5; + + if( pW1!=NULL ) + Values[4] = pW1->GetDistance(); + else + Values[4] = (Values[0]+Values[2])*0.5; + + if( pW2!=NULL ) + Values[5] = pW2->GetDistance(); + else + Values[5] = (Values[0]+Values[1])*0.5; + + /* compute the coefficients, given in that order : 0->cst, 1->X, 2->Y, 3->XY, 4->X^2, 5->Y^2. */ + GW_Maths::Fit2ndOrderPolynomial2D( Points, Values, Coeffs ); + + GW_Float r1 = this->ComputeValue( *pV0, *pV1, *pV2, 0.33, 0.33 ); + GW_Float r2 = this->ComputeValue( *pV0, *pV1, *pV2, 0, 0.5 ); +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Quadratic::ComputeGradient +/** + * \param v0 [GW_GeodesicVertex&] 1st vertex of local frame. + * \param v1 [GW_GeodesicVertex&] 2nd vertex. + * \param v2 [GW_GeodesicVertex&] 3rd vertex. + * \param x [GW_Float] x local coord. + * \param y [GW_Float] y local coord. + * \param dx [GW_Float&] x coord of the gradient in local coord. + * \param dy [GW_Float&] y coord of the gradient in local coord. + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Compute the gradient at given point in local frame. + */ +/*------------------------------------------------------------------------------*/ +void GW_TriangularInterpolation_Quadratic::ComputeGradient( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, GW_Float x, GW_Float y, GW_Float& dx, GW_Float& dy ) +{ + /* compute local basis */ + GW_Vector3D& e = v2.GetPosition(); // origin + GW_Vector3D e0 = v0.GetPosition() - e; + GW_Vector3D e1 = v1.GetPosition() - e; + + /* compute (s,t) the parameter of the point M in basis (w;u,v). We use equality : + M = w + s u + t v = e + x e0 + y e1 so : + s = x + y + + t = x + y + + i.e. : + |s| | | |x| || + |t| = | |*|y| + || + */ + GW_Vector3D trans = e-w; + /* compute passage matrix */ + GW_Float p00 = e0*u; + GW_Float p01 = e1*u; + GW_Float p10 = e0*v; + GW_Float p11 = e1*v; + GW_Float s = x*p00 + y*p01 + (trans*u); + GW_Float t = x*p10 + y*p11 + (trans*v); + + /* now we can compute the gradient in orthogonal basis (w;u,v) */ + GW_Float gu = Coeffs[1] + Coeffs[3]*t + Coeffs[4]*2*s; + GW_Float gv = Coeffs[2] + Coeffs[3]*s + Coeffs[5]*2*t; + + /* convert from orthogonal basis to local basis : + | | |dx| |gu| + | |*|dy| = |gv| + ie : + |dx| | p11 -p01| |gu| + |dy| = 1/det * |-p10 p00|*|gv| */ + GW_Float rDet = p00*p11 - p01*p10; + GW_ASSERT( rDet!=0 ); + if( GW_ABS(rDet)>GW_EPSILON ) + { + dx = 1/rDet * ( p11*gu - p01*gv ) * ~e0; + dy = 1/rDet * (-p10*gu + p00*gv ) * ~e1; + } + else + dx = dy = 0; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_TriangularInterpolation_Quadratic::ComputeValue +/** + * \param v0 [GW_GeodesicVertex&] 1st vertex of local frame. + * \param v1 [GW_GeodesicVertex&] 2nd vertex. + * \param v2 [GW_GeodesicVertex&] 3rd vertex. + * \param x [GW_Float] x local coord. + * \param y [GW_Float] y local coord. + * \return value of the distance function. + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Compute the value at a given location in the triangle. + */ +/*------------------------------------------------------------------------------*/ +GW_Float GW_TriangularInterpolation_Quadratic::ComputeValue( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, GW_Float x, GW_Float y ) +{ + /* compute local basis */ + GW_Vector3D& e = v2.GetPosition(); // origin + GW_Vector3D e0 = v0.GetPosition() - e; + GW_Vector3D e1 = v1.GetPosition() - e; + + /* compute (s,t) the parameter of the point M in basis (w;u,v). We use equality : + M = w + s u + t v = e + x e0 + y e1 so : + s = x + y + + t = x + y + + i.e. : + |s| | | |x| || + |t| = | |*|y| + || + */ + GW_Vector3D trans = e-w; + /* compute passage matrix */ + GW_Float p00 = e0*u; + GW_Float p01 = e1*u; + GW_Float p10 = e0*v; + GW_Float p11 = e1*v; + GW_Float s = x*p00 + y*p01 + (trans*u); + GW_Float t = x*p10 + y*p11 + (trans*v); + + /* now we can compute the value in orthogonal basis (w;u,v) */ + return Coeffs[0] + Coeffs[1]*s + Coeffs[2]*t + Coeffs[3]*s*t + Coeffs[4]*s*s + Coeffs[5]*t*t; +} + + + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Quadratic.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Quadratic.h new file mode 100644 index 0000000..c83c780 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Quadratic.h @@ -0,0 +1,74 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_ABC.h + * \brief Definition of class \c GW_TriangularInterpolation_ABC + * \author Gabriel Peyré + * \date 5-2-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_TRIANGULARINTERPOLATIONQUADRATIC_H_ +#define _GW_TRIANGULARINTERPOLATIONQUADRATIC_H_ + +#include "../gw_core/GW_Config.h" +#include "GW_TriangularInterpolation_ABC.h" + +namespace GW { + +class GW_GeodesicFace; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_TriangularInterpolation_ABC + * \brief Data structure to interpolate data on a triangle. + * \author Gabriel Peyré + * \date 5-2-2003 + * + * Use a \c GW_GeodesicFace to compute the coefficient of a 2nd + * degree polynom that fit distance function. + */ +/*------------------------------------------------------------------------------*/ + +class GW_TriangularInterpolation_Quadratic: public GW_TriangularInterpolation_ABC +{ + +public: + + GW_TriangularInterpolation_Quadratic(); + virtual ~GW_TriangularInterpolation_Quadratic(); + + virtual void SetUpTriangularInterpolation( GW_GeodesicFace& Face ); + void ComputeGradient( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Float x, GW_Float y, GW_Float& dx, GW_Float& dy ); + GW_Float ComputeValue( GW_GeodesicVertex& v0, GW_GeodesicVertex& v1, GW_GeodesicVertex& v2, + GW_Float x, GW_Float y ); + + + T_TriangulationInterpolationType GetType() + { return kQuadraticTriangulationInterpolation; } + + +private: + + GW_Float Coeffs[6]; + GW_Vector3D u,v; // orthogonal basis axis + GW_Vector3D w; // orthogonal coord system origin + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_TriangularInterpolation_Quadratic.inl" +#endif + + +#endif // _GW_TRIANGULARINTERPOLATIONQUADRATIC_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Quadratic.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Quadratic.inl new file mode 100644 index 0000000..fee07d5 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_TriangularInterpolation_Quadratic.inl @@ -0,0 +1,23 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_TriangularInterpolation_Quadratic.inl + * \brief Inlined methods for \c GW_TriangularInterpolation_Quadratic + * \author Gabriel Peyré + * \date 5-2-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_TriangularInterpolation_Quadratic.h" + +namespace GW { + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_VoronoiMesh.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_VoronoiMesh.cpp new file mode 100644 index 0000000..6875ca5 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_VoronoiMesh.cpp @@ -0,0 +1,1369 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VoronoiMesh.cpp + * \brief Definition of class \c GW_VoronoiMesh + * \author Gabriel Peyré + * \date 4-12-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_VoronoiMesh.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_VoronoiMesh.h" + +#ifndef GW_USE_INLINE + #include "GW_VoronoiMesh.inl" +#endif + +using namespace GW; + +T_VoronoiVertexList GW_VoronoiMesh::CurrentTargetVertex_; +GW_VoronoiVertex* GW_VoronoiMesh::pCurrentVoronoiVertex_ = NULL; +T_VoronoiVertexMap GW_VoronoiMesh::VoronoiVertexMap_; +T_VertexPathMultiMap GW_VoronoiMesh::BoundaryEdgeMap_; + +GW_U32 GW_VoronoiMesh::nNbrBaseVertex_RD_ = 0; +T_FloatMap* GW_VoronoiMesh::pCurWeights_ = NULL; + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::PerformFastMarching +/** + * \param Mesh [GW_GeodesicMesh&] The mesh. + * \author Gabriel Peyré + * \date 4-13-2003 + * + * Just an helper method that launch a fire from each base point. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::PerformFastMarching( GW_GeodesicMesh& Mesh, T_GeodesicVertexList& VertList ) +{ + /* add the points as starting points */ + Mesh.ResetGeodesicMesh(); + for( IT_GeodesicVertexList it = VertList.begin(); it!=VertList.end(); ++it ) + { + GW_GeodesicVertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + Mesh.AddStartVertex( *pVert ); + } + /* perform a firestart */ + Mesh.PerformFastMarching(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersion +/** + * \param CurVert [GW_GeodesicVertex&] The current vertex. + * \param rNewDist [GW_Float] The new distance. + * \return [GW_Bool] Insert this vertex to active list ? + * \author Gabriel Peyré + * \date 5-13-2003 + * + * Add the vertex only if the distance decreases. + */ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersion( GW_GeodesicVertex& CurVert, GW_Float rNewDist ) +{ + return CurVert.GetDistance() > rNewDist; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::AddFurthestPoint +/** +* \param Mesh [GW_GeodesicMesh&] Fine mesh. +* \author Gabriel Peyré +* \date 4-14-2003 +* +* Add to the list of point the furthest from all nodes. +*/ +/*------------------------------------------------------------------------------*/ +GW_U32 GW_VoronoiMesh::AddFurthestPoint( T_GeodesicVertexList& VertList,GW_GeodesicMesh& Mesh, GW_Bool bUseRandomStartVertex ) +{ + if( VertList.empty() ) + { + Mesh.ResetGeodesicMesh(); + /* choose 1 point at random */ + GW_GeodesicVertex* pStartVertex = (GW_GeodesicVertex*) Mesh.GetRandomVertex(); + GW_ASSERT( pStartVertex!=NULL ); + if( pStartVertex==NULL ) + return 0; + VertList.push_back( pStartVertex ); + if( !bUseRandomStartVertex ) + { + /* find furthest point from this one */ + GW_VoronoiMesh::PerformFastMarching( Mesh, VertList ); + GW_GeodesicVertex* pSelectedVert = GW_VoronoiMesh::FindMaxVertex( Mesh ); + GW_ASSERT( pSelectedVert!=NULL ); + VertList.push_back( pSelectedVert ); + VertList.pop_front(); // remove random choosen vertex + Mesh.ResetGeodesicMesh(); + } + } + else + { + Mesh.RegisterVertexInsersionCallbackFunction( GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersion ); + + /* perform marching */ + GW_VoronoiMesh::ResetOnlyVertexState( Mesh ); + GW_GeodesicVertex* pStartVert = VertList.back(); + GW_ASSERT( pStartVert!=NULL ); + Mesh.PerformFastMarching( pStartVert ); + + /* find intersection points */ + GW_GeodesicVertex* pSelectedVert = GW_VoronoiMesh::FindMaxVertex( Mesh ); + GW_ASSERT( pSelectedVert!=NULL ); + /* find the triangle where the maximum occurs */ +#if 0 + GW_Face* pMaxFace = GW_VoronoiMesh::FindMaxFace( *pSelectedVert ); + GW_ASSERT( pMaxFace!=NULL ); + /* this is a critical point */ + GW_Float x=1.0f/3, y=1.0f/3, z=1.0f/3; + GW_GeodesicVertex* pNewVert = (GW_GeodesicVertex*) Mesh.InsertVertexInFace( *pMaxFace, x,y,z ); + pNewVert->SetFront( pSelectedVert->GetFront() ); + pNewVert->SetDistance( pSelectedVert->GetDistance() ); +#else + GW_GeodesicVertex* pNewVert = pSelectedVert; +#endif + /* compute the real point */ + VertList.push_back( pNewVert ); + + Mesh.RegisterVertexInsersionCallbackFunction( NULL ); + } + + return 1; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::FindMaxVertex +/** + * \param Mesh [GW_GeodesicMesh&] The mesh. + * \return [GW_GeodesicVertex*] The max distance vertex. + * \author Gabriel Peyré + * \date 5-14-2003 + * + * Find the vertex with maximum distance. + */ +/*------------------------------------------------------------------------------*/ +GW_GeodesicVertex* GW_VoronoiMesh::FindMaxVertex( GW_GeodesicMesh& Mesh ) +{ + GW_GeodesicVertex* pSelectedVert = NULL; + GW_Float rMaxDist = -GW_INFINITE; + for( GW_U32 i=0; iGetFace()!=NULL && pVert->GetDistance()>rMaxDist ) + { + rMaxDist = pVert->GetDistance(); + pSelectedVert = pVert; + } + } + return pSelectedVert; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::FindMaxFace +/** + * \param Vert [GW_GeodesicVertex&] The current vertex. + * \return [GW_Face*] The face. + * \author Gabriel Peyré + * \date 4-15-2003 + * + * Find the face of maximum distance. + */ +/*------------------------------------------------------------------------------*/ +GW_Face* GW_VoronoiMesh::FindMaxFace( GW_GeodesicVertex& Vert ) +{ + GW_Float rBestDistance = -GW_INFINITE; + GW_Face* pCurFace_ = NULL; + for( GW_VertexIterator it = Vert.BeginVertexIterator(); it!=Vert.EndVertexIterator(); ++it ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) *it; + if( pVert->GetDistance()>rBestDistance ) + { + rBestDistance = pVert->GetDistance(); + GW_GeodesicVertex* pVert1 = (GW_GeodesicVertex*) it.GetLeftVertex(); + GW_GeodesicVertex* pVert2 = (GW_GeodesicVertex*) it.GetRightVertex(); + if( pVert1!=NULL && pVert2!=NULL ) + { + if( pVert1->GetDistance()GetDistance() ) + pCurFace_ = it.GetLeftFace(); + else + pCurFace_ = it.GetRightFace(); + } + else if( pVert1!=NULL ) + { + pCurFace_ = it.GetLeftFace(); + } + else + { + GW_ASSERT( pVert2!=NULL ); + pCurFace_ = it.GetRightFace(); + } + } + } + return pCurFace_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::AddFurthestPointsIterate +/** + * \param Mesh [GW_GeodesicMesh&] The mesh. + * \param nNbrIterations [GW_U32] Number of points. + * \author Gabriel Peyré + * \date 4-14-2003 + * + * Add a given number of furthest points. + */ +/*------------------------------------------------------------------------------*/ +GW_U32 GW_VoronoiMesh::AddFurthestPointsIterate( T_GeodesicVertexList& VertList,GW_GeodesicMesh& Mesh, GW_U32 nNbrIterations, GW_Bool bUseRandomStartVertex, GW_Bool bUseProgressBar ) +{ + GW_U32 nNbrPoints = 0; + GW_ProgressBar pb; + if( bUseProgressBar ) + pb.Begin(); + for( GW_U32 i=0; iGetFront(); + if( pNeighborFront!=NULL && pNeighborFront!=pFront ) + { + /* that's it ! */ + GW_VoronoiVertex* pVoronoiVert1 = GW_VoronoiMesh::GetVoronoiFromGeodesic( *pNeighborFront ); + GW_ASSERT( pVoronoiVert1!=NULL ); + if( !pVoronoiVert0->IsNeighbor(*pVoronoiVert1) ) + { + GW_ASSERT( ! pVoronoiVert1->IsNeighbor(*pVoronoiVert0) ); + /* test for manifold structure for the future edge */ + GW_U32 nNumTriangle = 0; + for( IT_VoronoiVertexList itVoronoi=pVoronoiVert1->BeginNeighborIterator(); itVoronoi!=pVoronoiVert1->EndNeighborIterator(); ++itVoronoi ) + { + GW_VoronoiVertex* pVoronoiVert2 = *itVoronoi; + GW_ASSERT( pVoronoiVert2!=NULL ); + if( pVoronoiVert2!=pVoronoiVert0 && pVoronoiVert0->IsNeighbor(*pVoronoiVert2) ) + nNumTriangle++; + } + if( nNumTriangle<=2 ) + { + pVoronoiVert0->AddNeighbor( *pVoronoiVert1 ); + pVoronoiVert1->AddNeighbor( *pVoronoiVert0 ); + } + /* test for manifold structure on the newly created edges */ + for( IT_VoronoiVertexList itVoronoi=pVoronoiVert1->BeginNeighborIterator(); itVoronoi!=pVoronoiVert1->EndNeighborIterator(); ++itVoronoi ) + { + GW_VoronoiVertex* pVoronoiVert2 = *itVoronoi; + GW_ASSERT( pVoronoiVert2!=NULL ); + if( pVoronoiVert2!=pVoronoiVert0 && pVoronoiVert0->IsNeighbor(*pVoronoiVert2) ) + { + /* we are on a newly created face : test for structure integrity */ + if( !GW_VoronoiMesh::TestManifoldStructure(*pVoronoiVert0, *pVoronoiVert2) ) + { + pVoronoiVert0->RemoveNeighbor( *pVoronoiVert1 ); + pVoronoiVert1->RemoveNeighbor( *pVoronoiVert0 ); + break; + } + if( !GW_VoronoiMesh::TestManifoldStructure(*pVoronoiVert1, *pVoronoiVert2) ) + { + pVoronoiVert0->RemoveNeighbor( *pVoronoiVert1 ); + pVoronoiVert1->RemoveNeighbor( *pVoronoiVert0 ); + break; + } + } + } + } + else + { + /* the graph must be undirected */ + GW_ASSERT( pVoronoiVert1->IsNeighbor(*pVoronoiVert0) ); + } + } + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::TestManifoldStructure +/** + * \param Vert0 [GW_VoronoiVertex&] 1st vertex. + * \param Vert1 [GW_VoronoiVertex&] 2nd vertex. + * \return [GW_Bool] Answer. + * \author Gabriel Peyré + * \date 5-15-2003 + * + * Test if the edge has only 2 neighbors. + */ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_VoronoiMesh::TestManifoldStructure( GW_VoronoiVertex& Vert0, GW_VoronoiVertex& Vert1 ) +{ + GW_U32 nNumTriangle = 0; + for( IT_VoronoiVertexList itVoronoi=Vert1.BeginNeighborIterator(); itVoronoi!=Vert1.EndNeighborIterator(); ++itVoronoi ) + { + GW_VoronoiVertex* pVoronoiVert2 = *itVoronoi; + GW_ASSERT( pVoronoiVert2!=NULL ); + if( pVoronoiVert2!=&Vert0 && Vert0.IsNeighbor(*pVoronoiVert2) ) + nNumTriangle++; + } + return nNumTriangle<=2; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::CreateVoronoiVertex +/** + * \author Gabriel Peyré + * \date 6-1-2003 + * + * Just create the voronoi vertex. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::CreateVoronoiVertex() +{ + /* Create Vornoi vertex and make the inverse map GeodesicVertex->VoronoiVertex */ + this->SetNbrVertex( (GW_U32) BaseVertexList_.size() ); + GW_U32 nNum = 0; + for( IT_GeodesicVertexList it = BaseVertexList_.begin(); it!=BaseVertexList_.end(); ++it ) + { + GW_GeodesicVertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + /* create a new voronoi vertex */ + GW_VoronoiVertex* pVornoiVert = new GW_VoronoiVertex; + pVornoiVert->SetBaseVertex( *pVert ); + this->SetVertex( nNum, pVornoiVert ); + nNum++; + /* build the inverse map */ + GW_ASSERT( VoronoiVertexMap_.find( pVert->GetID() )==VoronoiVertexMap_.end() ); + VoronoiVertexMap_[ pVert->GetID() ] = pVornoiVert; + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::BuildMesh +/** + * \param Mesh [GW_Mesh&] The mesh that will be build. + * \author Gabriel Peyré + * \date 4-13-2003 + * + * Build a mesh from scratch. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::BuildMesh( GW_GeodesicMesh& Mesh, GW_Bool bFixHole ) +{ + /* Create Vornoi vertex and make the inverse map GeodesicVertex->VoronoiVertex */ + this->CreateVoronoiVertex(); + +#if 1 // simple method + + GW_OutputComment("Recomputing the whole Voronoi diagram."); + GW_VoronoiMesh::PerformFastMarching( Mesh, BaseVertexList_ ); + + /* find the faces */ + GW_OutputComment("Building the faces."); + T_FaceMap FaceMap; // to store the faces already built. + for( GW_U32 i=0; iGetVertex(j); GW_ASSERT( pGeo[j]!=NULL ); + pFront[j] = pGeo[j]->GetFront(); + } + if( pFront[0]!=pFront[1] && pFront[1]!=pFront[2] && pFront[2]!=pFront[0] ) + { + GW_U32 nID = GW_Vertex::ComputeUniqueId( *pFront[0], *pFront[1], *pFront[2] ); + if( FaceMap.find(nID)==FaceMap.end() ) + { + /* create the face */ + GW_Face& Face = this->CreateNewFace(); + FaceMap[nID] = &Face; + for( GW_U32 j=0; j<3; ++j ) // assign the vertices + { + GW_U32 nID = pFront[j]->GetID(); + GW_ASSERT( VoronoiVertexMap_.find(nID)!=VoronoiVertexMap_.end() ); + GW_VoronoiVertex* pVorVert = VoronoiVertexMap_[nID]; GW_ASSERT( pVorVert!=NULL ); + Face.SetVertex( *pVorVert, j ); + } + } + } + } + +#else + + GW_OutputComment("Computing voronoi diagrams."); + /* perform once more a firestart to set up connectivity */ + Mesh.RegisterNewDeadVertexCallbackFunction( GW_VoronoiMesh::FastMarchingCallbackFunction_MeshBuilding ); + Mesh.ResetGeodesicMesh(); + GW_VoronoiMesh::PerformFastMarching( Mesh, BaseVertexList_ ); + Mesh.RegisterNewDeadVertexCallbackFunction( NULL ); + + /* build the faces */ + T_FaceMap FaceMap; // to store the faces already built. + + GW_OutputComment("Building voronoi mesh faces."); + for( IT_GeodesicVertexList it = BaseVertexList_.begin(); it!=BaseVertexList_.end(); ++it ) + { + GW_GeodesicVertex* pVert0 = *it; + GW_ASSERT( pVert0!=NULL ); + /* retrive the corresponding voronoi vertex */ + GW_VoronoiVertex* pVoronoiVert0 = GW_VoronoiMesh::GetVoronoiFromGeodesic( *pVert0 ); + GW_ASSERT( pVoronoiVert0!=NULL ); + for( IT_VoronoiVertexList itVoronoi1=pVoronoiVert0->BeginNeighborIterator(); itVoronoi1!=pVoronoiVert0->EndNeighborIterator(); ++itVoronoi1 ) + { + GW_VoronoiVertex* pVoronoiVert1 = *itVoronoi1; + GW_ASSERT( pVoronoiVert1!=NULL ); + GW_U32 nNumTriangle = 0; + for( IT_VoronoiVertexList itVoronoi2=pVoronoiVert1->BeginNeighborIterator(); itVoronoi2!=pVoronoiVert1->EndNeighborIterator(); ++itVoronoi2 ) + { + GW_VoronoiVertex* pVoronoiVert2 = *itVoronoi2; + GW_ASSERT( pVoronoiVert2!=NULL ); + if( pVoronoiVert2!=pVoronoiVert0 && pVoronoiVert0->IsNeighbor(*pVoronoiVert2) ) + { + /* yes, we find a triangle ! Test if it wasn't already constructed */ + GW_U32 nUniqueId = GW_Vertex::ComputeUniqueId( *pVoronoiVert0, *pVoronoiVert1, *pVoronoiVert2 ); + if( FaceMap.find(nUniqueId)==FaceMap.end() ) + { + nNumTriangle++; + GW_ASSERT( nNumTriangle<=2 ); // assert manifold structure + /* this is the 1st time we encounter this face. */ + GW_Face* pFace = &Mesh.CreateNewFace(); + /* set up the face */ + pFace->SetVertex( *pVoronoiVert0, *pVoronoiVert1, *pVoronoiVert2 ); + FaceMap[nUniqueId] = pFace; + } + } + } + } + } + +#endif + + + /* assign the faces */ + this->SetNbrFace( (GW_U32) FaceMap.size() ); + GW_U32 nNum = 0; + for( IT_FaceMap it = FaceMap.begin(); it!=FaceMap.end(); ++it ) + { + this->SetFace( nNum, it->second ); + nNum++; + } + /* rebuild connectivity */ + GW_OutputComment("Building connectivity."); + this->BuildConnectivity(); + /* try to fill the holes */ + if( bFixHole ) + { + GW_OutputComment("Fixing holes."); + this->FixHole(); + /* re-rebuild connectivity */ + this->BuildConnectivity(); + } + +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::FixHole +/** + * \author Gabriel Peyré + * \date 5-16-2003 + * + * Try to fix the hole in the boundary. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::FixHole() +{ + typedef std::pair T_VertexPair; + typedef std::list T_VertexPairList; + typedef T_VertexPairList::iterator IT_VertexPairList; + T_VertexPairList VertexPairList; + for( GW_U32 i=0; iGetNbrFace(); ++i ) + { + GW_Face* pFace = this->GetFace(i); + GW_ASSERT( pFace!=NULL ); + for( GW_U32 nV = 0; nV<3; ++nV ) + { + if( pFace->GetFaceNeighbor(nV)==NULL ) + { + GW_VoronoiVertex* pVert1 = (GW_VoronoiVertex*) pFace->GetVertex( (nV+1)%3 ); + GW_VoronoiVertex* pVert2 = (GW_VoronoiVertex*) pFace->GetVertex( (nV+2)%3 ); + VertexPairList.push_back( T_VertexPair(pVert1,pVert2) ); + } + } + } + char str[50]; + sprintf( str, "%d boundary edges detected.", VertexPairList.size() ); + GW_OutputComment( str ); + while( !VertexPairList.empty() ) + { + T_VertexPairList HoleBorder; + T_VertexPair StartEdge = VertexPairList.front(); + T_VertexPair CurEdge = StartEdge; + VertexPairList.pop_front(); + HoleBorder.push_back( CurEdge ); + /* try to find the hole border */ + GW_Bool bNextEdgeFound = GW_False; + while( true ) + { + bNextEdgeFound = GW_False; + for( IT_VertexPairList it = VertexPairList.begin(); it!=VertexPairList.end(); ++it ) + { + T_VertexPair NewEdge = *it; + if( (NewEdge.first==CurEdge.second) && (NewEdge.second!=CurEdge.first) ) + { + CurEdge = NewEdge; + HoleBorder.push_back( CurEdge ); + bNextEdgeFound = GW_True; + VertexPairList.erase( it ); + break; + } + if( (NewEdge.second==CurEdge.second) && (NewEdge.first!=CurEdge.first) ) + { + CurEdge = T_VertexPair( NewEdge.second, NewEdge.first); + HoleBorder.push_back( CurEdge ); + bNextEdgeFound = GW_True; + VertexPairList.erase( it ); + break; + } + } + if( !bNextEdgeFound ) + break; // the hole cannot be completed + if( StartEdge.first == CurEdge.second ) + break; // the hole is completed + } + if( bNextEdgeFound && HoleBorder.size()>2 ) // that means we have a full hole + { + char str[50]; + sprintf( str, "Filing a hole of %d vertex.", HoleBorder.size() ); + GW_OutputComment( str ); + IT_VertexPairList it = HoleBorder.begin(); + GW_VoronoiVertex* pVert0 = it->first; GW_ASSERT( pVert0!=NULL ); + it++; + GW_VoronoiVertex* pVert1 = it->first; GW_ASSERT( pVert1!=NULL ); + it++; + for( ; it!=HoleBorder.end(); ++it ) + { + GW_VoronoiVertex* pVert2 = it->first; GW_ASSERT( pVert2!=NULL ); + /* test for manifold structure before creating a new edge [v0,v2] */ + GW_Bool bManifold = GW_True; + GW_Face* pFace1, *pFace2; + pVert0->GetFaces( *pVert1, pFace1, pFace2 ); + if( pFace1!=NULL && pFace2!=NULL ) + bManifold = GW_False; + pVert1->GetFaces( *pVert2, pFace1, pFace2 ); + if( pFace1!=NULL && pFace2!=NULL ) + bManifold = GW_False; + pVert0->GetFaces( *pVert2, pFace1, pFace2 ); + if( pFace1!=NULL && pFace2!=NULL ) + bManifold = GW_False; + if( bManifold ) + { + GW_Face& Face = this->CreateNewFace(); + Face.SetVertex( *pVert0, *pVert1, *pVert2 ); + this->AddFace( Face ); + } + pVert1 = pVert2; + } + } + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::CreateNewVertex +/** +* \return [GW_Vertex&] The newly created vertex. +* \author Gabriel Peyré +* \date 4-9-2003 +* +* Allocate memory for a new vertex. +*/ +/*------------------------------------------------------------------------------*/ +GW_Vertex& GW_VoronoiMesh::CreateNewVertex() +{ + return *(new GW_VoronoiVertex); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::CreateNewFace +/** +* \return [GW_Face&] The newly created face. +* \author Gabriel Peyré +* \date 4-9-2003 +* +* Allocate memory for a new face. +*/ +/*------------------------------------------------------------------------------*/ +GW_Face& GW_VoronoiMesh::CreateNewFace() +{ + return *(new GW_Face); +} + +/*------------------------------------------------------------------------------*/ +// Name : FastMarchingCallbackFunction_Boundaries +/** +* \author Gabriel Peyré +* \date 4-12-2003 +* +* A callback function for geodesic computations. +*/ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_VoronoiMesh::FastMarchingCallbackFunction_Boundaries( GW_GeodesicVertex& CurVert ) +{ + // \todo for the moment propagate on the full neighborhood +// for( IT_VoronoiVertexList it=CurrentTargetVertex_.begin(); it!=CurrentTargetVertex_.end(); ++it ) +// { + GW_ASSERT( pCurrentVoronoiVertex_!=NULL ); + for( GW_VertexIterator it=pCurrentVoronoiVertex_->BeginVertexIterator(); it!=pCurrentVoronoiVertex_->EndVertexIterator(); ++it ) + { + GW_VoronoiVertex* pVornoiVert = (GW_VoronoiVertex*) *it; + GW_ASSERT( pVornoiVert!=NULL ); + GW_GeodesicVertex* pVert = pVornoiVert->GetBaseVertex(); + GW_ASSERT( pVert!=NULL ); + if( pVert->GetState()!=GW_GeodesicVertex::kDead ) + return GW_False; + } + return GW_True; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::BuildGeodesicBoundaries +/** + * \author Gabriel Peyré + * \date 4-21-2003 + * + * Compute the geodesic path corresponding to each base mesh vertex. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::BuildGeodesicBoundaries( GW_GeodesicMesh& Mesh ) +{ + Mesh.RegisterForceStopCallbackFunction( FastMarchingCallbackFunction_Boundaries ); + + VertexPathMap_.clear(); + GeodesicDistanceMap_.clear(); + BoundaryEdgeMap_.clear(); + + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + CurrentTargetVertex_.clear(); + pCurrentVoronoiVertex_ = (GW_VoronoiVertex*) this->GetVertex(i); + GW_ASSERT( pCurrentVoronoiVertex_!=NULL ); + + /* set the list of vertex to which the boundary needs to be computed */ + for( GW_VertexIterator it=pCurrentVoronoiVertex_->BeginVertexIterator(); it!=pCurrentVoronoiVertex_->EndVertexIterator(); ++it ) + { + GW_VoronoiVertex* pVert = (GW_VoronoiVertex*) *it; + GW_ASSERT( pVert!=NULL ); + GW_U32 nID = GW_Vertex::ComputeUniqueId( *pCurrentVoronoiVertex_, *pVert ); + if( VertexPathMap_.find( nID )==VertexPathMap_.end() ) + CurrentTargetVertex_.push_back( pVert ); + } + + /* compute fast marching */ + GW_GeodesicVertex* pGeodesicVert = pCurrentVoronoiVertex_->GetBaseVertex(); + GW_ASSERT( pGeodesicVert!=NULL ); + Mesh.ResetGeodesicMesh(); + GW_OutputComment("Performing Fast Marching."); + Mesh.PerformFastMarching( pGeodesicVert ); + + /* track back and compute geodesic path */ + for( IT_VoronoiVertexList it=CurrentTargetVertex_.begin(); it!=CurrentTargetVertex_.end(); ++it ) + { + GW_VoronoiVertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + GW_GeodesicVertex* pGeodesicVert = pVert->GetBaseVertex(); + GW_ASSERT( pGeodesicVert!=NULL ); + GW_ASSERT( pGeodesicVert->GetState()==GW_GeodesicVertex::kDead ); + GW_U32 nID = GW_Vertex::ComputeUniqueId( *pCurrentVoronoiVertex_, *pVert ); + GW_ASSERT( VertexPathMap_.find( nID ) ==VertexPathMap_.end() ); + T_GeodesicVertexList* pVertexGeodesicEdge = new T_GeodesicVertexList; + VertexPathMap_[nID] = pVertexGeodesicEdge; + /* track back and compute the path */ + GW_OutputComment("Computing geodesic path."); + GW_GeodesicPath GeodesicPath; + GeodesicPath.ComputePath( *pGeodesicVert, 5000 ); + /* convert the path into vertex */ + this->AddPathToMeshVertex( Mesh, GeodesicPath, *pVertexGeodesicEdge ); + } + } + + /* \todo This is just a debug test, remove it */ + for( IT_VertexPathMap it = VertexPathMap_.begin(); it!=VertexPathMap_.end(); ++it ) + { + T_GeodesicVertexList* pPath = it->second; + GW_GeodesicVertex* pPrevVert = NULL; + GW_U32 nNum = 0; + for( IT_GeodesicVertexList itVert = pPath->begin(); itVert!=pPath->end(); ++itVert ) + { + GW_GeodesicVertex* pVert = *itVert; + if( pPrevVert==NULL ) + pPrevVert = pVert; + else + { + GW_Face* pFace1, *pFace2; + pPrevVert->GetFaces( *pVert, pFace1, pFace2 ); + // GW_ASSERT( pFace1!=NULL || pFace2!=NULL ) // \todo FIX THIS BUG + if( pFace1!=NULL || pFace2!=NULL ) + { +// cout << "Gap in a geodesic boundary." << endl; + } + pPrevVert = pVert; + } + nNum++; + } + } + + Mesh.RegisterForceStopCallbackFunction( NULL ); + Mesh.ResetGeodesicMesh(); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::AddPathToMeshVertex +/** + * \param CurPath [T_GeodesicVertexList&] The path to test. + * \author Gabriel Peyré + * \date 5-14-2003 + * + * Test for path intersection and fix cracks. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::AddPathToMeshVertex( GW_GeodesicMesh& Mesh, GW_GeodesicPath& GeodesicPath, T_GeodesicVertexList& VertexPath ) +{ + GW_GeodesicVertex* pPrevVert = NULL; + T_GeodesicPointList& PointList = GeodesicPath.GetPointList(); + for( IT_GeodesicPointList it=PointList.begin(); it!=PointList.end(); ++it ) + { + GW_GeodesicPoint* pPoint = *it; GW_ASSERT( pPoint!=NULL ); + GW_GeodesicVertex* pVert1 = pPoint->GetVertex1(); GW_ASSERT( pVert1!=NULL ); + GW_GeodesicVertex* pVert2 = pPoint->GetVertex2(); GW_ASSERT( pVert2!=NULL ); + GW_Float rCoord = pPoint->GetCoord(); + GW_Bool bIsNewVertCreated; + GW_GeodesicVertex* pNewVert = (GW_GeodesicVertex*) Mesh.InsertVertexInEdge( *pPoint->GetVertex1(), *pPoint->GetVertex2(), pPoint->GetCoord(), bIsNewVertCreated ); + if( bIsNewVertCreated ) + { + pNewVert->SetDistance( pPoint->GetVertex1()->GetDistance()*rCoord + + pPoint->GetVertex2()->GetDistance()*(1-rCoord) ); + pNewVert->SetState( pPoint->GetVertex1()->GetState() ); + pNewVert->SetFront( pPoint->GetVertex1()->GetFront() ); + } + /* add the vertex to the path */ + VertexPath.push_back(pNewVert); + + /* test for self intersection */ + IT_GeodesicPointList itSelf = it; + itSelf++; + if( bIsNewVertCreated ) // fix only if new vertex is added + while( itSelf!=PointList.end() ) + { + GW_GeodesicPoint* pPointSelf = *itSelf; GW_ASSERT( pPointSelf!=NULL ); + GW_GeodesicVertex* pVertSelf1 = pPointSelf->GetVertex1(); GW_ASSERT( pVertSelf1!=NULL ); + GW_GeodesicVertex* pVertSelf2 = pPointSelf->GetVertex2(); GW_ASSERT( pVertSelf1!=NULL ); + GW_Float rCoordSelf = pPointSelf->GetCoord(); + if( pVertSelf2==pVert1 && pVertSelf1==pVert2 ) + { + /* we should swap the two vertex */ + GW_GeodesicVertex* pTemp = pVertSelf1; + pVertSelf1 = pVertSelf2; + pVertSelf2 = pTemp; + rCoordSelf = 1-rCoordSelf; + } + if( pVertSelf2==pVert2 && pVertSelf1==pVert1 ) + { + /* there is a self intersection */ + if( rCoordSelf>rCoord ) + { + pPointSelf->SetVertex1( *pVert1 ); + pPointSelf->SetVertex2( *pNewVert ); + pPointSelf->SetCoord( (rCoordSelf-rCoord)/(1-rCoord) ); + } + else + { + pPointSelf->SetVertex1( *pNewVert ); + pPointSelf->SetVertex2( *pVert2 ); + if( rCoord>GW_EPSILON ) + pPointSelf->SetCoord( rCoordSelf/rCoord ); + else + pPointSelf->SetCoord(0); + } + } + itSelf++; + } + + /* now test for intersection with previous path */ + GW_U32 nID = GW_Vertex::ComputeUniqueId( *pVert1, *pVert2 ); + + /* to avoid to reprocess already processed lists */ + std::list PathToProccess; + IT_VertexPathMultiMultiMap itIntersectedPath = BoundaryEdgeMap_.find(nID); + if( bIsNewVertCreated ) // fix only if new vertex is added + while( itIntersectedPath!=BoundaryEdgeMap_.end() && itIntersectedPath->first==nID ) + { + PathToProccess.push_back( itIntersectedPath->second ); + itIntersectedPath++; + } + for( std::list::iterator itIntersectedPath=PathToProccess.begin(); itIntersectedPath!=PathToProccess.end(); ++itIntersectedPath ) + { + /* oups, intersection, we should fix it */ + T_GeodesicVertexList* pIntersectedPath = *itIntersectedPath; + GW_ASSERT( pIntersectedPath!=NULL ); + /* find where the crossing occurs */ + IT_GeodesicVertexList itIntersec = pIntersectedPath->begin(); + GW_GeodesicVertex* pIntersect1 = NULL; + GW_GeodesicVertex* pIntersect2 = NULL; + while( !(itIntersec==pIntersectedPath->end()) ) + { + pIntersect2 = *itIntersec; + if( (pIntersect1==pVert1 && pIntersect2==pVert2) || + (pIntersect1==pVert2 && pIntersect2==pVert1) ) + break; // we have found the position in the path + pIntersect1 = pIntersect2; + itIntersec++; + } + if( pIntersect1!=NULL && pIntersect2!=NULL && itIntersec!=pIntersectedPath->end() ) + { + /* insert new vertex in path */ + pIntersectedPath->insert( itIntersec, pNewVert ); + /* divide previous edge in two */ + // BoundaryEdgeMap_.erase( nID ); // \todo find the correct iterator and remove it + nID = GW_Vertex::ComputeUniqueId( *pVert1, *pNewVert ); + BoundaryEdgeMap_.insert( std::pair( nID, pIntersectedPath ) ); + nID = GW_Vertex::ComputeUniqueId( *pVert2, *pNewVert ); + BoundaryEdgeMap_.insert( std::pair( nID, pIntersectedPath ) ); + } + else + GW_ASSERT( GW_False ); + } + /* add the small newly created edge in the map */ + if( pPrevVert==NULL ) + pPrevVert = pNewVert; + else + { + nID = GW_Vertex::ComputeUniqueId( *pPrevVert, *pNewVert ); + pPrevVert = pNewVert; + BoundaryEdgeMap_.insert( std::pair( nID, &VertexPath ) ); + } + } +} + +/*------------------------------------------------------------------------------*/ +// Name : FastMarchingCallbackFunction_Parametrization +/** +* \author Gabriel Peyré +* \date 4-12-2003 +* +* A callback function for geodesic computations. +*/ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_VoronoiMesh::FastMarchingCallbackFunction_Parametrization( GW_GeodesicVertex& CurVert ) +{ + GW_ASSERT( pCurrentVoronoiVertex_!=NULL ); + + if( !CurVert.GetIsStoppingVertex() || !CurVert.GetBoundaryReached() ) + { + /* add the parameter value */ + CurVert.AddParameterVertex( *pCurrentVoronoiVertex_, CurVert.GetDistance() ); + if( CurVert.GetIsStoppingVertex() ) + CurVert.SetBoundaryReached( GW_True ); + } + /* always continue the computations */ + return GW_False; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::PerformLocalFastMarching +/** + * \param Mesh [GW_GeodesicMesh&] The vertex around which we perform fast marching. + * \param Vert [GW_VoronoiVertex&] The base mesh. + * \author Gabriel Peyré + * \date 4-28-2003 + * + * Perform a fast marching on the voronoi faces around a given + * vertex. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::PerformLocalFastMarching( GW_GeodesicMesh& Mesh, GW_VoronoiVertex& Vert ) +{ + Mesh.ResetGeodesicMesh(); + /* set up a boundary to stop the front propagation */ + for( GW_FaceIterator it=Vert.BeginFaceIterator(); it!=Vert.EndFaceIterator(); ++it ) + { + GW_Face* pFace = *it; + GW_ASSERT( pFace!=NULL ); + GW_VoronoiVertex* pVert1 = (GW_VoronoiVertex*) pFace->GetNextVertex( Vert ); + GW_VoronoiVertex* pVert2 = (GW_VoronoiVertex*) pFace->GetNextVertex( *pVert1 ); + GW_ASSERT( pVert1!=NULL ); + GW_ASSERT( pVert2!=NULL ); + GW_U32 nID = GW_Vertex::ComputeUniqueId( *pVert1, *pVert2 ); + /* get the geodesic edge */ + GW_ASSERT( VertexPathMap_.find(nID)!=VertexPathMap_.end() ); + T_GeodesicVertexList* pVertexGeodesicEdge = VertexPathMap_[nID]; + GW_ASSERT( pVertexGeodesicEdge!=NULL ); + if( pVertexGeodesicEdge!=NULL ) + for( IT_GeodesicVertexList VertIt = pVertexGeodesicEdge->begin(); VertIt!=pVertexGeodesicEdge->end(); ++VertIt ) + { + GW_GeodesicVertex* pGeodesicVert = *VertIt; + pGeodesicVert->SetStoppingVertex( GW_True ); + } + } + /* now compute the fast marching */ + GW_ASSERT( Vert.GetBaseVertex()!=NULL ); + Mesh.PerformFastMarching( Vert.GetBaseVertex() ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::BuildGeodesicParametrization +/** + * \author Gabriel Peyré + * \date 4-26-2003 + * + * Compute the parameter of each vertex of the base mesh. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::BuildGeodesicParametrization( GW_GeodesicMesh& Mesh ) +{ + Mesh.RegisterForceStopCallbackFunction( FastMarchingCallbackFunction_Parametrization ); + Mesh.ResetParametrizationData(); + /* for each base vertex, perform front propagation on the surrounding faces */ + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + CurrentTargetVertex_.clear(); + pCurrentVoronoiVertex_ = (GW_VoronoiVertex*) this->GetVertex(i); // set up global data for callback function + GW_ASSERT( pCurrentVoronoiVertex_!=NULL ); + + GW_OutputComment("Performing local fast marching."); + this->PerformLocalFastMarching( Mesh, *pCurrentVoronoiVertex_ ); + + /* register geodesic boundaries length */ + for( GW_VertexIterator it=pCurrentVoronoiVertex_->BeginVertexIterator(); it!=pCurrentVoronoiVertex_->EndVertexIterator(); ++it ) + { + GW_VoronoiVertex* pNeighbor = (GW_VoronoiVertex*) *it; + GW_ASSERT( pNeighbor!=NULL ); + GW_GeodesicVertex* pGeodesicVert = pNeighbor->GetBaseVertex(); + GW_ASSERT( pGeodesicVert!=NULL ); + GW_U32 nID = GW_Vertex::ComputeUniqueId( *pCurrentVoronoiVertex_, *pNeighbor ); + if( GeodesicDistanceMap_.find(nID)==GeodesicDistanceMap_.end() ) + { + GW_ASSERT( pGeodesicVert->GetState()==GW_GeodesicVertex::kDead ); + /* this is the first time the distance is computed */ + if( pGeodesicVert->GetState()==GW_GeodesicVertex::kDead ) + GeodesicDistanceMap_[nID] = pGeodesicVert->GetDistance(); + } + else + { + GW_ASSERT( pGeodesicVert->GetState()==GW_GeodesicVertex::kDead ); + if( pGeodesicVert->GetState()==GW_GeodesicVertex::kDead ) + { + /* distance alreay computed in the reverse direction : take the average */ + GW_Float rPrevDist = GeodesicDistanceMap_[nID]; + GW_Float rNewDist = pGeodesicVert->GetDistance(); + GeodesicDistanceMap_[nID] = GW_MIN(rPrevDist, rNewDist); //(rPrevDist+rNewDist)*0.5; + } + } + } + + } + + /* now really compute the 3 parameters for each vertex */ + GW_OutputComment("Computing geodesic parametrisation."); + this->ComputeVertexParameters( Mesh ); + + pCurrentVoronoiVertex_ = NULL; + Mesh.RegisterForceStopCallbackFunction( NULL ); + +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::ComputeVertexParameters +/** + * \param Mesh [GW_GeodesicMesh&] The mesh. + * \author Gabriel Peyré + * \date 4-27-2003 + * + * Using geodesic distance from 3 base vertex, compute the + * parameter for each vertex. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::ComputeVertexParameters( GW_GeodesicMesh& Mesh ) +{ + for( GW_U32 i=0; iGetParameterVertex( 0, d0 ); + GW_VoronoiVertex* pVornoiVert1 = pVert->GetParameterVertex( 1, d1 ); + GW_VoronoiVertex* pVornoiVert2 = pVert->GetParameterVertex( 2, d2 ); + if( pVornoiVert0!=NULL && pVornoiVert1!=NULL && pVornoiVert2!=NULL ) + { + GW_ASSERT( pVornoiVert0!=NULL ); + GW_ASSERT( pVornoiVert1!=NULL ); + GW_ASSERT( pVornoiVert2!=NULL ); + GW_GeodesicVertex* pVert0 = pVornoiVert0->GetBaseVertex(); + GW_GeodesicVertex* pVert1 = pVornoiVert1->GetBaseVertex(); + GW_GeodesicVertex* pVert2 = pVornoiVert2->GetBaseVertex(); + GW_ASSERT( pVert0!=NULL ); + GW_ASSERT( pVert1!=NULL ); + GW_ASSERT( pVert2!=NULL ); + GW_U32 nID0 = GW_Vertex::ComputeUniqueId( *pVornoiVert1, *pVornoiVert2 ); + GW_U32 nID1 = GW_Vertex::ComputeUniqueId( *pVornoiVert0, *pVornoiVert2 ); + GW_U32 nID2 = GW_Vertex::ComputeUniqueId( *pVornoiVert0, *pVornoiVert1 ); + if( GeodesicDistanceMap_.find(nID0)!=GeodesicDistanceMap_.end() && + GeodesicDistanceMap_.find(nID1)!=GeodesicDistanceMap_.end() && + GeodesicDistanceMap_.find(nID2)!=GeodesicDistanceMap_.end() ) + { + /* length of each triangle segment. */ + GW_Float l0 = GeodesicDistanceMap_[nID0]; + GW_Float l1 = GeodesicDistanceMap_[nID1]; + GW_Float l2 = GeodesicDistanceMap_[nID2]; + + /* now use Heron rule to compute parameter */ + GW_Float a0 = GW_Maths::ComputeTriangleArea( l0, d1, d2 ); + GW_Float a1 = GW_Maths::ComputeTriangleArea( d0, l1, d2 ); + GW_Float a2 = GW_Maths::ComputeTriangleArea( d0, d1, l2 ); + GW_Float t = GW_Maths::ComputeTriangleArea( l0, l1, l2 ); // area of the big triangle + GW_Float a = a0 + a1 + a2; + GW_ASSERT( a>GW_EPSILON ); + /* test if the point is outside */ + if( a1+a2>t ) + pVert->SetParameterVertex( 0, a1/(a1+a2), a2/(a1+a2) ); + else if( a0+a2>t ) + pVert->SetParameterVertex( a0/(a0+a2), 0, a2/(a0+a2) ); + else if( a0+a1>t ) + pVert->SetParameterVertex( a0/(a0+a1), a1/(a0+a1), 0 ); + else + { + /* the point is inside the triangle */ + pVert->SetParameterVertex( a0/a, a1/a, a2/a ); + } + pVert->SetParameterVertex( a0/a, a1/a, a2/a ); + } + else + { + pVert->SetParameterVertex( 0, 0, 0 ); + } + } + } + + /* fix parameter for voronoi vertex */ + for( GW_U32 i=0; iGetNbrVertex(); ++i ) + { + GW_VoronoiVertex* pVoronoiVert0 = (GW_VoronoiVertex*) this->GetVertex( i ); + GW_ASSERT( pVoronoiVert0!=NULL ); + GW_GeodesicVertex* pVert = pVoronoiVert0->GetBaseVertex(); + GW_ASSERT( pVert!=NULL ); + GW_Face* pFace = pVoronoiVert0->GetFace(); + GW_ASSERT( pFace!=NULL ); + GW_VoronoiVertex* pVoronoiVert1 = (GW_VoronoiVertex*) pFace->GetNextVertex( *pVoronoiVert0 ); + GW_ASSERT( pVoronoiVert1!=NULL ); + GW_VoronoiVertex* pVoronoiVert2 = (GW_VoronoiVertex*) pFace->GetNextVertex( *pVoronoiVert1 ); + GW_ASSERT( pVoronoiVert2!=NULL ); + pVert->ResetParametrizationData(); + pVert->AddParameterVertex( *pVoronoiVert0, 1 ); + pVert->AddParameterVertex( *pVoronoiVert1, 0 ); + pVert->AddParameterVertex( *pVoronoiVert2, 0 ); + } + + /* find the center of each voronoi face */ + CentralParameterMap_.clear(); + T_FloatMap BestVertexValue; + for( GW_U32 i=0; iGetParameterVertex( 0, a ); + GW_ASSERT( pVert0!=NULL ); + GW_VoronoiVertex* pVert1 = pVert->GetParameterVertex( 1, b ); + GW_ASSERT( pVert1!=NULL ); + GW_VoronoiVertex* pVert2 = pVert->GetParameterVertex( 2, c ); + if( pVert2!=NULL ) + { + GW_Float rBestDist = GW_INFINITE; + GW_U32 nID = GW_Vertex::ComputeUniqueId( *pVert0, *pVert1, *pVert2 ); + if( BestVertexValue.find(nID)!=BestVertexValue.end() ) + rBestDist = BestVertexValue[nID]; + GW_Float rDist = GW_ABS(a - 1.0/3.0) + GW_ABS(b - 1.0/3.0) + GW_ABS(c - 1.0/3.0); + if( rDistSetState( GW_GeodesicVertex::kFar ); + } +} + + + +void GW_VoronoiMesh::PrepareInterpolation( GW_GeodesicMesh& Mesh ) +{ + /* duplicate the geodesic data for each of the vertex */ + for( GW_U32 i=0; irDistance_+GW_EPSILON >= rNewDist; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::FlattenBasePoints +/** + * \param Mesh [GW_GeodesicMesh&] The original mesh. + * \param FlatteningMap [T_Vector2DMap&] A link between the basis geodesic vertex and their 2D positions. + * \author Gabriel Peyré + * \date 6-1-2003 + * + * Compute a 2D position for each base point, using multidimensional scaling. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiMesh::FlattenBasePoints( GW_GeodesicMesh& Mesh, T_Vector2DMap& FlatteningMap ) +{ + char str[100]; + /* create a voronoi vertex for each basis vertex */ + this->CreateVoronoiVertex(); + + GW_U32 n = this->GetNbrVertex(); + GW_MatrixNxP dist_matrix(n,n,-1); + + + /* compute the distance matrix */ + for( GW_U32 i=0; iGetVertex(i); GW_ASSERT( pVoronoiVerti!=NULL ); + GW_GeodesicVertex* pGeodesicVerti = (GW_GeodesicVertex*) pVoronoiVerti->GetBaseVertex(); GW_ASSERT( pGeodesicVerti!=NULL ); + + sprintf( str, "Computing distance information for vertex %d.", i ); + GW_OutputComment( str ); + + /* compute the distance map */ + Mesh.ResetGeodesicMesh(); + Mesh.PerformFastMarching( pGeodesicVerti ); + + for( GW_U32 j=0; jGetVertex(j); GW_ASSERT( pVoronoiVerti!=NULL ); + GW_GeodesicVertex* pGeodesicVertj = (GW_GeodesicVertex*) pVoronoiVertj->GetBaseVertex(); GW_ASSERT( pGeodesicVerti!=NULL ); + GW_Float rDist = pGeodesicVertj->GetDistance(); + if( dist_matrix[i][j]<0 ) + dist_matrix[i][j] = rDist*rDist; + else + dist_matrix[i][j] = (dist_matrix[i][j]+rDist*rDist)*0.5; + + if( dist_matrix[j][i]<0 ) + dist_matrix[j][i] = rDist*rDist; + else + dist_matrix[j][i] = (dist_matrix[j][i]+rDist*rDist)*0.5; + } + } + + /* center the matrix */ + sprintf( str, "Performing the multidimensional scaling.", i ); + GW_OutputComment( str ); + GW_MatrixNxP J(n,n,-1.0/n); + for( GW_U32 i=0; i=rScaleX ) + { + rScaleY = rScaleX; + nEigenvectorY = nEigenvectorX; + rScaleX = RealEig[i]; + nEigenvectorX = i; + } + else if( RealEig[i]>=rScaleY ) + { + rScaleY = RealEig[i]; + nEigenvectorY = i; + } + } + rScaleX = sqrt(rScaleX); + rScaleY = sqrt(rScaleY); + GW_ASSERT( nEigenvectorX>=0 ); + GW_ASSERT( nEigenvectorY>=0 ); + + /* compute the 2D position */ + FlatteningMap.clear(); + if( nEigenvectorX>=0 && nEigenvectorY>=0 ) + for( GW_U32 i=0; iGetVertex(i); GW_ASSERT( pVoronoiVerti!=NULL ); + GW_GeodesicVertex* pGeodesicVerti = (GW_GeodesicVertex*) pVoronoiVerti->GetBaseVertex(); GW_ASSERT( pGeodesicVerti!=NULL ); + + GW_Vector2D pos; + pos[0] = rScaleX*v[i][nEigenvectorX]; + pos[1] = rScaleY*v[i][nEigenvectorY]; + FlatteningMap[ pGeodesicVerti->GetID() ] = pos; + } +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersionRD1 +/** +* \param CurVert [GW_GeodesicVertex&] The current vertex. +* \param rNewDist [GW_Float] The new distance. +* \return [GW_Bool] Insert this vertex to active list ? +* \author Gabriel Peyré +* \date 5-13-2003 +* +* Here we only record the natural neighbors in the weights map. +*/ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersionRD1( GW_GeodesicVertex& CurVert, GW_Float rNewDist ) +{ + GW_ASSERT( pCurWeights_!=NULL ); + GW_GeodesicInformationDuplicata* pDuplicata = (GW_GeodesicInformationDuplicata*) CurVert.GetUserData(); + GW_ASSERT( pDuplicata!=NULL ); + GW_U32 nId = pDuplicata->pFront_->GetID(); + (*pCurWeights_)[ nId ] = -1; // this is one of our natural neighbor, yeah. + return pDuplicata->rDistance_+GW_EPSILON >= rNewDist; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersionRD2 +/** +* \param CurVert [GW_GeodesicVertex&] The current vertex. +* \param rNewDist [GW_Float] The new distance. +* \return [GW_Bool] Insert this vertex to active list ? +* \author Gabriel Peyré +* \date 5-13-2003 +* +* Here we record the reciprocical of the distance. +*/ +/*------------------------------------------------------------------------------*/ +GW_Bool GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersionRD2( GW_GeodesicVertex& CurVert, GW_Float rNewDist ) +{ + GW_ASSERT( pCurWeights_!=NULL ); + GW_U32 nId = CurVert.GetID(); + if( pCurWeights_->find(nId)!=pCurWeights_->end() ) // this is one of our natural neighbor, yeah. + { + if( (*pCurWeights_)[nId]<0 ) + { + /* first time we encounter this vertex, sounds good */ + if( rNewDist>0 ) + (*pCurWeights_)[nId] = 1.0/(rNewDist); + else + (*pCurWeights_)[nId] = GW_INFINITE; + nNbrBaseVertex_RD_++; + } + else + GW_ASSERT( GW_False ); + } + return GW_True; +} + + +GW_Bool GW_VoronoiMesh::FastMarchingCallbackFunction_ForceStopRD( GW_GeodesicVertex& Vert ) +{ + return nNbrBaseVertex_RD_>=pCurWeights_->size(); +} + + + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_VoronoiMesh.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_VoronoiMesh.h new file mode 100644 index 0000000..e255147 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_VoronoiMesh.h @@ -0,0 +1,225 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VoronoiMesh.h + * \brief Definition of class \c GW_VoronoiMesh + * \author Gabriel Peyré + * \date 4-12-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_VORONOIMESHBUILDER_H_ +#define _GW_VORONOIMESHBUILDER_H_ + +#include "../gw_core/GW_Config.h" +#include "GW_GeodesicMesh.h" +#include "GW_GeodesicPath.h" +#include "GW_VoronoiVertex.h" +#include "../gw_core/GW_ProgressBar.h" + +namespace GW { + + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_U32 */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_VertNbr2ArrayNbr; +typedef T_VertNbr2ArrayNbr::iterator IT_VertNbr2ArrayNbr; +typedef T_VertNbr2ArrayNbr::reverse_iterator RIT_VertNbr2ArrayNbr; +typedef T_VertNbr2ArrayNbr::const_iterator CIT_VertNbr2ArrayNbr; +typedef T_VertNbr2ArrayNbr::const_reverse_iterator CRIT_VertNbr2ArrayNbr; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a map of T_GeodesicVertexList */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_VertexPathMap; +typedef T_VertexPathMap::iterator IT_VertexPathMap; +typedef T_VertexPathMap::reverse_iterator RIT_VertexPathMap; +typedef T_VertexPathMap::const_iterator CIT_VertexPathMap; +typedef T_VertexPathMap::const_reverse_iterator CRIT_VertexPathMap; +//@} + + +/*------------------------------------------------------------------------------*/ +/** \name a multimap of T_GeodesicVertexList */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::multimap T_VertexPathMultiMap; +typedef T_VertexPathMultiMap::iterator IT_VertexPathMultiMultiMap; +typedef T_VertexPathMultiMap::reverse_iterator RIT_VertexPathMultiMap; +typedef T_VertexPathMultiMap::const_iterator CIT_VertexPathMultiMap; +typedef T_VertexPathMultiMap::const_reverse_iterator CRIT_VertexPathMultiMap; +//@} + + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_VoronoiMesh + * \brief Iterate an algorithm wich find base vertex at Voronoy crossing points. + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Remesh the resulting point in a Delaunay fashion. + */ +/*------------------------------------------------------------------------------*/ + +class GW_VoronoiMesh: public GW_Mesh +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_VoronoiMesh(); + virtual ~GW_VoronoiMesh(); + //@} + + //------------------------------------------------------------------------- + /** \name Base mesh construction */ + //------------------------------------------------------------------------- + //@{ + static GW_U32 AddFurthestPoint( T_GeodesicVertexList& VertList, GW_GeodesicMesh& Mesh, GW_Bool bUseRandomStartVertex = GW_False ); + static GW_U32 AddFurthestPointsIterate( T_GeodesicVertexList& VertList, GW_GeodesicMesh& Mesh, GW_U32 nNbrIteration, GW_Bool bUseRandomStartVertex = GW_False, GW_Bool bUseProgressBar = GW_True ); + void BuildMesh( GW_GeodesicMesh& OriginalMesh, GW_Bool bFixHole = GW_True ); + //@} + + //------------------------------------------------------------------------- + /** \name Parametrization construction. */ + //------------------------------------------------------------------------- + //@{ + void BuildGeodesicBoundaries( GW_GeodesicMesh& Mesh ); + void BuildGeodesicParametrization( GW_GeodesicMesh& Mesh ); + //@} + + + void Reset(); + T_GeodesicVertexList& GetBaseVertexList(); + GW_U32 GetNbrBasePoints(); + + T_VertexPathMap& GetGeodesicBoundariesMap(); + + void InterpolatePosition( GW_GeodesicMesh& Mesh, GW_Vector3D& Position, + GW_VoronoiVertex& v0, GW_VoronoiVertex& v1, GW_VoronoiVertex& v2, + GW_Float a, GW_Float b, GW_Float c ); + void InterpolatePositionExhaustiveSearch( GW_GeodesicMesh& Mesh, GW_Vector3D& Position, + GW_VoronoiVertex& v0, GW_VoronoiVertex& v1, GW_VoronoiVertex& v2, + GW_Float a, GW_Float b, GW_Float c ); + + + + //------------------------------------------------------------------------- + /** \name Surface flattening. */ + //------------------------------------------------------------------------- + //@{ + void GetNaturalNeighborWeights( T_FloatMap& Weights, GW_GeodesicMesh& Mesh, GW_GeodesicVertex& Vert ); + void FlattenBasePoints( GW_GeodesicMesh& Mesh, T_Vector2DMap& FlatteningMap ); + void GetReciprocicalDistanceWeights( T_FloatMap& Weights, GW_GeodesicMesh& Mesh, GW_GeodesicVertex& Vert ); + //@} + + + //------------------------------------------------------------------------- + /** \name Class factory methods. */ + //------------------------------------------------------------------------- + //@{ + virtual GW_Vertex& CreateNewVertex(); + virtual GW_Face& CreateNewFace(); + //@} + + /* \todo Should be private */ + void PerformLocalFastMarching( GW_GeodesicMesh& Mesh, GW_VoronoiVertex& Vert ); + static GW_Bool FastMarchingCallbackFunction_Parametrization( GW_GeodesicVertex& CurVert ); + static GW_VoronoiVertex* pCurrentVoronoiVertex_; + static void PerformFastMarching( GW_GeodesicMesh& OriginalMesh, T_GeodesicVertexList& VertList ); + + /** helpers for furthest point building */ + static GW_Bool FastMarchingCallbackFunction_VertexInsersion( GW_GeodesicVertex& CurVert, GW_Float rNewDist ); + static void ResetOnlyVertexState( GW_GeodesicMesh& Mesh ); + + + /** helper for natural neighbor interpolation */ + class GW_GeodesicInformationDuplicata: public GW_SmartCounter + { + public: + GW_GeodesicInformationDuplicata( GW_GeodesicVertex& vert ) + :GW_SmartCounter(), + rDistance_ ( vert.GetDistance() ), + pFront_ ( vert.GetFront() ) + { vert.SetUserData(this); } + GW_Float rDistance_; + GW_GeodesicVertex* pFront_; + }; + + /** intermediate variable for boundaries bulding */ + static T_VertexPathMultiMap BoundaryEdgeMap_; + static void AddPathToMeshVertex( GW_GeodesicMesh& Mesh, GW_GeodesicPath& GeodesicPath, T_GeodesicVertexList& VertexPath ); + +private: + + static GW_Face* FindMaxFace( GW_GeodesicVertex& Vert ); + static GW_GeodesicVertex* FindMaxVertex( GW_GeodesicMesh& Mesh ); + + void CreateVoronoiVertex(); + + /** list of current base vertex */ + T_GeodesicVertexList BaseVertexList_; + + /** list all geodesic distance */ + T_FloatMap GeodesicDistanceMap_; + + /** helpers for mesh building */ + static T_VoronoiVertexMap VoronoiVertexMap_; + static void FastMarchingCallbackFunction_MeshBuilding( GW_GeodesicVertex& CurVert ); + static GW_VoronoiVertex* GetVoronoiFromGeodesic( GW_GeodesicVertex& Vert ); + static GW_Bool TestManifoldStructure( GW_VoronoiVertex& Vert1, GW_VoronoiVertex& Vert2 ); + void FixHole(); + + /** helper for parametrization building */ + static T_VoronoiVertexList CurrentTargetVertex_; + static GW_Bool FastMarchingCallbackFunction_Boundaries( GW_GeodesicVertex& CurVert ); + T_VertexPathMap VertexPathMap_; + void ComputeVertexParameters( GW_GeodesicMesh& Mesh ); + + /** helper for interpolation */ + T_GeodesicVertexMap CentralParameterMap_; + static GW_Bool GetParameterVertex( GW_GeodesicVertex& Vert, GW_Float& a, GW_Float& b, GW_Float& c, + const GW_VoronoiVertex& ParamV0, const GW_VoronoiVertex& ParamV1, const GW_VoronoiVertex& ParamV2 ); + + static GW_Float NaturalNeighborContribution( GW_Face& Face, GW_GeodesicVertex& Vert, T_FloatMap& Weights ); + GW_Bool bInterpolationPreparationDone_; + static GW_Float DistributeContribution( GW_Face& Face, T_FloatMap& Weights, + GW_GeodesicVertex* pVert[3], GW_Vector2D VertPos[3], + T_Vector2DList* pPolyContrib ); +public: + + static GW_Bool FastMarchingCallbackFunction_VertexInsersionNN( GW_GeodesicVertex& CurVert, GW_Float rNewDist ); + static void PrepareInterpolation( GW_GeodesicMesh& Mesh ); + + /** helpers for reciprocical distance interpolation */ + static GW_U32 nNbrBaseVertex_RD_; + static T_FloatMap* pCurWeights_; + static GW_Bool FastMarchingCallbackFunction_VertexInsersionRD1( GW_GeodesicVertex& CurVert, GW_Float rNewDist ); + static GW_Bool FastMarchingCallbackFunction_VertexInsersionRD2( GW_GeodesicVertex& CurVert, GW_Float rNewDist ); + static GW_Bool FastMarchingCallbackFunction_ForceStopRD( GW_GeodesicVertex& Vert ); + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_VoronoiMesh.inl" +#endif + + +#endif // _GW_VORONOIMESHBUILDER_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_VoronoiMesh.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_VoronoiMesh.inl new file mode 100644 index 0000000..8de207d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_VoronoiMesh.inl @@ -0,0 +1,905 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VoronoiMesh.inl + * \brief Inlined methods for \c GW_VoronoiMesh + * \author Gabriel Peyré + * \date 4-12-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_VoronoiMesh.h" +#include "../gw_core/GW_PolygonIntersector.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh constructor +/** + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_VoronoiMesh::GW_VoronoiMesh() +: GW_Mesh(), + bInterpolationPreparationDone_( GW_False ) +{ + /* NOTHING */ +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh destructor +/** + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_VoronoiMesh::~GW_VoronoiMesh() +{ + /* delete the map of path */ + for( IT_VertexPathMap it = VertexPathMap_.begin(); it!=VertexPathMap_.end(); ++it ) + { + T_GeodesicVertexList* pList = it->second; + GW_ASSERT( pList!=NULL ); + GW_DELETE( pList ); + } + VertexPathMap_.clear(); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::GetBaseVertexList +/** + * \return [T_GeodesicVertexList&] The list. + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Get the list of base points. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +T_GeodesicVertexList& GW_VoronoiMesh::GetBaseVertexList() +{ + return BaseVertexList_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::Reset +/** + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Clear the list of points. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_VoronoiMesh::Reset() +{ + GW_Mesh::Reset(); + BaseVertexList_.clear(); + for( IT_VertexPathMap it = VertexPathMap_.begin(); it!=VertexPathMap_.end(); ++it ) + { + T_GeodesicVertexList* pVertList = it->second; + GW_DELETE(pVertList); + } + VertexPathMap_.clear(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::GetNbrBasePoints +/** + * \return [GW_U32] The number. + * \author Gabriel Peyré + * \date 4-13-2003 + * + * Get the number of base points. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_U32 GW_VoronoiMesh::GetNbrBasePoints() +{ + return (GW_U32) BaseVertexList_.size(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::GetGeodesicBoundariesMap +/** + * \return [T_VertexPathMap&] The map. + * \author Gabriel Peyré + * \date 4-23-2003 + * + * Get the map containing all geodesic boundaries. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +T_VertexPathMap& GW_VoronoiMesh::GetGeodesicBoundariesMap() +{ + return VertexPathMap_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::InterpolatePosition +/** +* \param Position Answer : the position. +* \param v0 [GW_VoronoiVertex&] 1st vertex parameter. +* \param v1 [GW_VoronoiVertex&] 2nd vertex parameter +* \param v2 [GW_VoronoiVertex&] 3rd vertex parameter. +* \param p0 [GW_Float] 1st value parameter (barycentric coord). +* \param p1 [GW_Float] 2nd value parameter (barycentric coord). +* \param p2 [GW_Float] 3rd value parameter (barycentric coord). +* \param pGuess [GW_Face*] A guess of the surrounding face. +* \author Gabriel Peyré +* \date 4-30-2003 +* +* Interpolate the position for a given value of parameters +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_VoronoiMesh::InterpolatePosition( GW_GeodesicMesh& Mesh, GW_Vector3D& Position, GW_VoronoiVertex& v0, GW_VoronoiVertex& v1, GW_VoronoiVertex& v2, + GW_Float a, GW_Float b, GW_Float c ) +{ + /* find a guess to start */ + GW_U32 nID = GW_Vertex::ComputeUniqueId( v0, v1, v2 ); + GW_ASSERT( CentralParameterMap_.find(nID)!=CentralParameterMap_.end() ); + GW_GeodesicVertex* pVert = CentralParameterMap_[nID]; + GW_ASSERT( pVert!=NULL ); + if( pVert==NULL ) + return; + GW_Face* pGuess = pVert->GetFace(); + GW_Face* pPrevGuess = NULL; + + GW_Float x, y, z; + + /* order the vertex by increasing ID */ + const GW_VoronoiVertex* pVParam0 = &v0, *pVParam1 = &v1, *pVParam2 = &v2; + + /* now search for "the" face */ + GW_GeodesicVertex* pVert0, *pVert1, *pVert2; + GW_Face* pSelectedFace = NULL; + GW_U32 nNumIter = 0; // just to avoid infinite loop. + while( pSelectedFace==NULL ) + { + pVert0 = (GW_GeodesicVertex*) pGuess->GetVertex(0); + pVert1 = (GW_GeodesicVertex*) pGuess->GetVertex(1); + pVert2 = (GW_GeodesicVertex*) pGuess->GetVertex(2); + + /* parameters of the surrounding face */ + GW_Float a0, b0, c0, + a1, b1, c1, + a2, b2, c2; + GW_Bool bValid = GW_True; + bValid = bValid & GW_VoronoiMesh::GetParameterVertex( *pVert0, a0, b0, c0, *pVParam0, *pVParam1, *pVParam2 ); + bValid = bValid & GW_VoronoiMesh::GetParameterVertex( *pVert1, a1, b1, c1, *pVParam0, *pVParam1, *pVParam2 ); + bValid = bValid & GW_VoronoiMesh::GetParameterVertex( *pVert2, a2, b2, c2, *pVParam0, *pVParam1, *pVParam2 ); + + /* translate coordinate in global param into coord in local face param */ + GW_I32 nRet = GW_Maths::ComputeLocalGeodesicParameter( x, y, z, a, b, c, + a0, b0, c0, a1, b1, c1, a2, b2, c2 ); + + if( nRet<0 || !bValid ) + { + /* the conversion was impossible */ + GW_VoronoiMesh::InterpolatePositionExhaustiveSearch( Mesh, Position, v0, v1, v2, a, b, c ); + return; + } + else if( x<0 ) + pGuess = pGuess->GetFaceNeighbor( *pVert0 ); + else if( y<0 ) + pGuess = pGuess->GetFaceNeighbor( *pVert1 ); + else if( z<0 ) + pGuess = pGuess->GetFaceNeighbor( *pVert2 ); + else + { + /* yes, this is it ! */ + pSelectedFace = pGuess; + } + GW_ASSERT( pGuess!=NULL ); + + nNumIter++; + if( nNumIter>200 ) + { +// GW_ASSERT( GW_False ); + /* use brute force method */ + GW_VoronoiMesh::InterpolatePositionExhaustiveSearch( Mesh, Position, v0, v1, v2, a, b, c ); + return; + } + + pPrevGuess = pGuess; + } + + /* this face is the correct one */ + if( x>1.1 || y>1.1 || z>1.1 || x<-0.1 || y<-0.1 || z<-0.1 ) + { + GW_CLAMP(x, 0,1); + GW_CLAMP(y, 0,1); + z = 1-x-y; + } + Position = pVert0->GetPosition()*x + pVert1->GetPosition()*y + pVert2->GetPosition()*z; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::GetParameterVertex +/** + * \param Vert [GW_GeodesicVertex&] Vertex. + * \param a [GW_Float&] 1st param. + * \param b [GW_Float&] 2nd param. + * \param c [GW_Float&] 3rd param. + * \param ParamV0 [GW_VoronoiVertex&] 1st vertex param. + * \param ParamV1 [GW_VoronoiVertex&] 2nd vertex param. + * \param ParamV2 [GW_VoronoiVertex&] 3rd vertex param. + * \return Is the result valid (e.g. it is false if the vertex doesn't belongs to the corresponding face) + * \author Gabriel Peyré + * \date 5-1-2003 + * + * Helper method : retrieve the parameters of a vertex, taking care + * of boundary vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Bool GW_VoronoiMesh::GetParameterVertex( GW_GeodesicVertex& Vert, GW_Float& a, GW_Float& b, GW_Float& c, const GW_VoronoiVertex& ParamV0, const GW_VoronoiVertex& ParamV1, const GW_VoronoiVertex& ParamV2 ) +{ + GW_Float unordered_coords[3]; + GW_Float ordered_coords[3]; + const GW_VoronoiVertex* pParamV[3] = {&ParamV0, &ParamV1, &ParamV2}; + GW_VoronoiVertex* pV[3]; + + /* store the parameter value and vertex */ + for( GW_U32 i=0; i<3; ++i ) + { + pV[i] = Vert.GetParameterVertex( i, unordered_coords[i] ); + if( pV[i]==NULL ) + unordered_coords[i] = -GW_INFINITE; + } + + GW_I32 nConnexion[3] = {-1,-1,-1}; + + /* set up the connexion */ + for( GW_U32 i=0; i<3; ++i ) + { + if( pParamV[i]==pV[0] ) + nConnexion[i] = 0; + else if( pParamV[i]==pV[1] ) + nConnexion[i] = 1; + else if( pParamV[i]==pV[2] ) + nConnexion[i] = 2; + } + + /* computed the ordered coords */ + for( GW_U32 i=0; i<3; ++i ) + { + if( nConnexion[i]!=-1 ) + ordered_coords[i] = unordered_coords[nConnexion[i]]; + else + { + /* special case */ + GW_U32 i1 = (i+1)%3; + GW_U32 i2 = (i+2)%3; + if( nConnexion[i1]!=-1 && nConnexion[i2]!=-1 ) + { + // return GW_False; + GW_U32 nTarget = 3 - nConnexion[i1] - nConnexion[i2]; + if( GW_ABS(unordered_coords[nTarget])>GW_EPSILON ) + { + a = b = c = -GW_INFINITE; + return GW_False; + } + else + ordered_coords[i] = 0; + } + else + { + a = b = c = -GW_INFINITE; + return GW_False; + } + } + } + + a = ordered_coords[0]; + b = ordered_coords[1]; + c = ordered_coords[2]; + + /* rescale if necessary */ + GW_Float s = a+b+c; + if( s<=0 ) + return GW_False; + if( s!=1 && s!=0 ) + { + a /= s; b /= s; c /= s; + } + return GW_True; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::GetVoronoiFromGeodesic +/** + * \param Vert [GW_GeodesicVertex&] The geodesic vertex. + * \return [GW_VoronoiVertex*] The voronoi vertex. + * \author Gabriel Peyré + * \date 5-15-2003 + * + * Find the voronoi vertex corresponding to the geodesic vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_VoronoiVertex* GW_VoronoiMesh::GetVoronoiFromGeodesic( GW_GeodesicVertex& Vert ) +{ + if( VoronoiVertexMap_.find(Vert.GetID())==VoronoiVertexMap_.end() ) + return NULL; + return VoronoiVertexMap_[Vert.GetID()]; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::InterpolatePositionExhaustiveSearch +/** +* \param Position Answer : the position. +* \param v0 [GW_VoronoiVertex&] 1st vertex parameter. +* \param v1 [GW_VoronoiVertex&] 2nd vertex parameter +* \param v2 [GW_VoronoiVertex&] 3rd vertex parameter. +* \param p0 [GW_Float] 1st value parameter (barycentric coord). +* \param p1 [GW_Float] 2nd value parameter (barycentric coord). +* \param p2 [GW_Float] 3rd value parameter (barycentric coord). +* \param pGuess [GW_Face*] A guess of the surrounding face. +* \author Gabriel Peyré +* \date 4-30-2003 +* +* Interpolate the position for a given value of parameters. +* SLOW : makes an EXHAUSTIVE search ! +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_VoronoiMesh::InterpolatePositionExhaustiveSearch( GW_GeodesicMesh& Mesh, GW_Vector3D& Position, + GW_VoronoiVertex& v0, GW_VoronoiVertex& v1, GW_VoronoiVertex& v2, + GW_Float a, GW_Float b, GW_Float c ) +{ + GW_Float rBestDist = GW_INFINITE; + GW_Face* pSelectedFace = NULL; + GW_Float SelectedCoord[3] = {1,0,0}; + + const GW_VoronoiVertex* pVParam0 = &v0, *pVParam1 = &v1, *pVParam2 = &v2; + GW_Float x,y,z; + GW_GeodesicVertex *pVert0=NULL, *pVert1=NULL, *pVert2=NULL; + + for( GW_U32 i=0; iGetVertex(0); + pVert1 = (GW_GeodesicVertex*) pFace->GetVertex(1); + pVert2 = (GW_GeodesicVertex*) pFace->GetVertex(2); + + /* parameters of the surrounding face */ + GW_Float a0, b0, c0, + a1, b1, c1, + a2, b2, c2; + GW_Bool bValid = GW_True; + bValid = bValid & GW_VoronoiMesh::GetParameterVertex( *pVert0, a0, b0, c0, *pVParam0, *pVParam1, *pVParam2 ); + bValid = bValid & GW_VoronoiMesh::GetParameterVertex( *pVert1, a1, b1, c1, *pVParam0, *pVParam1, *pVParam2 ); + bValid = bValid & GW_VoronoiMesh::GetParameterVertex( *pVert2, a2, b2, c2, *pVParam0, *pVParam1, *pVParam2 ); + + /* translate coordinate in global param into coord in local face param */ + GW_I32 nRet = GW_Maths::ComputeLocalGeodesicParameter( x, y, z, a, b, c, + a0, b0, c0, a1, b1, c1, a2, b2, c2 ); + if( bValid && nRet>=0 ) + { + if( x>=0 && y>=0 && z>=0 ) + { + /* it's ok ! */ + Position = pVert0->GetPosition()*x + pVert1->GetPosition()*y + pVert2->GetPosition()*z; + return; + } + /* try best match */ + GW_Float rDist = GW_ABS(0.333-x)+GW_ABS(0.333-y)+GW_ABS(0.333-z); + if( rDistGetVertex(0)->GetPosition()*SelectedCoord[0] + + pSelectedFace->GetVertex(1)->GetPosition()*SelectedCoord[1] + + pSelectedFace->GetVertex(2)->GetPosition()*SelectedCoord[2]; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GetNaturalNeighborWeights +/** +* \param Weights [T_FloatMap&] The weights for each neighbor. +* \param Mesh [GW_GeodesicMesh&] The mesh. +* \param Vert [GW_GeodesicVertex&] The vertex where we want to perform the interpolation. +* \author Gabriel Peyré +* \date 5-30-2003 +* +* Compute the weights for a natural neighbors interpolation. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_VoronoiMesh::GetNaturalNeighborWeights( T_FloatMap& Weights, GW_GeodesicMesh& Mesh, GW_GeodesicVertex& Vert ) +{ + if( Vert.GetFace()==NULL ) + return; + + /* just correct the distance map if necessary */ + GW_GeodesicVertex* pStartVert = BaseVertexList_.back(); + if( pStartVert->GetFront()!=pStartVert ) + { + Mesh.RegisterVertexInsersionCallbackFunction( GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersion ); + GW_VoronoiMesh::ResetOnlyVertexState( Mesh ); + Mesh.PerformFastMarching( pStartVert ); + Mesh.RegisterVertexInsersionCallbackFunction( NULL ); + } + + if( !bInterpolationPreparationDone_ ) + { + GW_VoronoiMesh::PrepareInterpolation( Mesh ); + bInterpolationPreparationDone_ = GW_True; + } + + Weights.clear(); + + /* special case for original point */ + for( IT_GeodesicVertexList it=BaseVertexList_.begin(); it!=BaseVertexList_.end(); ++it ) + { + if( &Vert==*it ) + { + // break; + Weights[ Vert.GetID() ] = 1; + return; + } + } + + /* perform a Fast Marching from the point */ + Mesh.RegisterVertexInsersionCallbackFunction( GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersionNN ); + GW_VoronoiMesh::ResetOnlyVertexState( Mesh ); + Mesh.PerformFastMarching( &Vert ); + + /* compute contribution for weights */ + T_FaceList FaceToProceed; + FaceToProceed.push_back( Vert.GetFace() ); + GW_Float rTotalArea = 0; + T_FaceMap FaceMap; + FaceMap[ Vert.GetFace()->GetID() ] = Vert.GetFace(); + + while( !FaceToProceed.empty() ) + { + GW_Face* pFace = FaceToProceed.front(); + GW_ASSERT( pFace!=NULL ); + FaceToProceed.pop_front(); + + /* compute contribution */ + rTotalArea += GW_VoronoiMesh::NaturalNeighborContribution( *pFace, Vert, Weights ); + + /* add neighbors */ + for( GW_U32 i=0; i<3; ++i ) + { + GW_Face* pNewFace = pFace->GetFaceNeighbor(i); + if( pNewFace!=NULL && FaceMap.find(pNewFace->GetID())==FaceMap.end() ) + { + GW_Bool bAddThisFace = GW_False; + for( GW_U32 nVert=0; nVert<3; ++nVert ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) pNewFace->GetVertex(nVert); + GW_ASSERT( pVert!=NULL ); + if( pVert->GetFront()==&Vert ) + { + bAddThisFace = GW_True; + break; + } + } + if( bAddThisFace ) + { + FaceToProceed.push_back( pNewFace ); + FaceMap[ pNewFace->GetID() ] = pNewFace; // so that it won't be added anymore + } + } + } + } + + /* scale so that weights sum to 1 */ + GW_ASSERT( rTotalArea>0 ); + if( rTotalArea>0 ) + for( IT_FloatMap it=Weights.begin(); it!=Weights.end(); ++it ) + it->second /= rTotalArea; + + + Mesh.RegisterVertexInsersionCallbackFunction( NULL ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiMesh::NaturalNeighborContribution +/** +* \param Face [GW_Face&] The face. +* \param Vert [GW_GeodesicVertex&] The vertex to interpolate. +* \param Weights [T_FloatMap&] The weights. +* \return [GW_Float] Total area that contriibute to interpolation. +* \author Gabriel Peyré +* \date 5-30-2003 +* +* Add the contribution to the weights for this face. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Float GW_VoronoiMesh::NaturalNeighborContribution( GW_Face& Face, GW_GeodesicVertex& Vert, T_FloatMap& Weights ) +{ + GW_GeodesicInformationDuplicata* pDuplicata = NULL; + /* the area of the face */ + GW_Float rContrib = 0; + GW_Float lambda; + + /* for each vertex see if there is a contribution */ + GW_U32 nNumContrib = 0; + GW_U32 nNumOther = 0; + GW_GeodesicVertex* pVertContrib[3] = { NULL, NULL, NULL }; + GW_Float rDistance[3] = { -1, -1, -1 }; + for( GW_U32 i=0; i<3; ++i ) + { + GW_GeodesicVertex* pVert = (GW_GeodesicVertex*) Face.GetVertex(i); GW_ASSERT( pVert!=NULL ); + if( pVert->GetFront()==&Vert ) + { + pVertContrib[nNumContrib] = pVert; + rDistance[nNumContrib] = pVert->GetDistance(); + nNumContrib++; + } + else + { + pVertContrib[2-nNumOther] = pVert; + GW_GeodesicInformationDuplicata* pDuplicata1 = (GW_GeodesicInformationDuplicata*) pVert->GetUserData(); + GW_ASSERT( pDuplicata1!=NULL ); + rDistance[2-nNumOther] = pDuplicata1->rDistance_; + nNumOther++; + } + } + + /* Flatten each 3 vertex */ + GW_ASSERT( pVertContrib[0]!=NULL ); + GW_ASSERT( pVertContrib[1]!=NULL ); + GW_ASSERT( pVertContrib[2]!=NULL ); + GW_Vector2D VertContribPos[3]; + GW_Vector3D e1 = pVertContrib[1]->GetPosition() - pVertContrib[0]->GetPosition(); + GW_Vector3D e2 = pVertContrib[2]->GetPosition() - pVertContrib[0]->GetPosition(); + GW_Float l1 = ~e1; + GW_Float l2 = ~e2; + e1 /= l1; + e2 /= l2; + VertContribPos[1] = GW_Vector2D( l1, 0 ); + GW_Float dot = e1*e2; + VertContribPos[2] = GW_Vector2D( l2*dot, l2*sqrt(1-dot*dot) ); + + T_Vector2DList ContribPoly; + /* for each special case, Compute the polygon */ + switch(nNumContrib) { + case 1: + { + /* the contributor is pVertContrib[0], and pVertContrib[1] & pVertContrib[2] are not contributing */ + /* compute 1st intersection point */ + GW_GeodesicVertex::ComputeFrontIntersection( *pVertContrib[0], rDistance[0], *pVertContrib[1], rDistance[1], NULL, &lambda ); + GW_Vector2D inter1 = VertContribPos[0]*lambda + VertContribPos[1]*(1-lambda); + /* compute 2nd intersection point */ + GW_GeodesicVertex::ComputeFrontIntersection( *pVertContrib[0], rDistance[0], *pVertContrib[2], rDistance[2], NULL, &lambda ); + GW_Vector2D inter2 = VertContribPos[0]*lambda + VertContribPos[2]*(1-lambda); + + + GW_GeodesicInformationDuplicata* pDuplicata1 = (GW_GeodesicInformationDuplicata*) pVertContrib[1]->GetUserData(); + GW_ASSERT( pDuplicata1!=NULL ); + GW_GeodesicInformationDuplicata* pDuplicata2 = (GW_GeodesicInformationDuplicata*) pVertContrib[2]->GetUserData(); + GW_ASSERT( pDuplicata2!=NULL ); + + /* two cases */ + if( pDuplicata1->pFront_!=pDuplicata2->pFront_ ) + { + /* a quadrilater, we must compute the other intersection */ + GW_GeodesicVertex::ComputeFrontIntersection( *pVertContrib[1], rDistance[1], *pVertContrib[2], rDistance[2], NULL, &lambda ); + GW_Vector2D inter3 = VertContribPos[1]*lambda + VertContribPos[2]*(1-lambda); + GW_Vector2D center = (inter1+inter2+inter3)/3; // isobarycenter + /* add the points to the polygon */ + ContribPoly.push_back( VertContribPos[0] ); // remember that non-contributive vertex are in clockwise orientation + ContribPoly.push_back( inter1 ); + ContribPoly.push_back( center ); + ContribPoly.push_back( inter2 ); + GW_ASSERT( GW_PolygonIntersector::CheckOrientation( ContribPoly ) ); + } + else + { + /* a triangle */ + ContribPoly.push_back( VertContribPos[0] ); + ContribPoly.push_back( inter1 ); + ContribPoly.push_back( inter2 ); + GW_ASSERT( GW_PolygonIntersector::CheckOrientation( ContribPoly ) ); + + } + + /* compute the % of contribution to give to each vertex */ + return DistributeContribution( Face, Weights, pVertContrib, VertContribPos, &ContribPoly ); + } + break; + case 2: + { + /* compute the intersection points */ + GW_GeodesicVertex::ComputeFrontIntersection( *pVertContrib[0], rDistance[0], *pVertContrib[2], rDistance[2], NULL, &lambda ); + GW_Vector2D inter1 = VertContribPos[0]*lambda + VertContribPos[2]*(1-lambda); + GW_GeodesicVertex::ComputeFrontIntersection( *pVertContrib[1], rDistance[1], *pVertContrib[2], rDistance[2], NULL, &lambda ); + GW_Vector2D inter2 = VertContribPos[1]*lambda + VertContribPos[2]*(1-lambda); + + /* the polygon is a quadrilater */ + ContribPoly.push_back( VertContribPos[0] ); + ContribPoly.push_back( VertContribPos[1] ); + ContribPoly.push_back( inter2 ); + ContribPoly.push_back( inter1 ); + GW_ASSERT( GW_PolygonIntersector::CheckOrientation( ContribPoly ) ); + + /* compute the % of contribution to give to each vertex */ + return DistributeContribution( Face, Weights, pVertContrib, VertContribPos, &ContribPoly ); + } + break; + case 3: + /* compute the % of contribution to give to each vertex */ + return DistributeContribution( Face, Weights, pVertContrib, VertContribPos, NULL ); // NULL to avoid intersection computations + break; + default: + GW_ASSERT(GW_False); + return 0; + } +} + + + +GW_INLINE +GW_Float GW_VoronoiMesh::DistributeContribution( GW_Face& Face, T_FloatMap& Weights, + GW_GeodesicVertex* pVert[3], GW_Vector2D VertPos[3], + T_Vector2DList* pPolyContrib ) +{ + GW_GeodesicInformationDuplicata* pDuplicata = NULL; + GW_U32 nID; + GW_Float lambda; + GW_GeodesicVertex* pFront[3] = {NULL, NULL, NULL}; + GW_Float d[3]; + + /* get the front information */ + for( GW_U32 i=0; i<3; ++i ) + { + pDuplicata = (GW_GeodesicInformationDuplicata*) pVert[i]->GetUserData(); GW_ASSERT( pDuplicata!=NULL ); + pFront[i] = pDuplicata->pFront_; GW_ASSERT( pFront[i]!=NULL ); + d[i] = pDuplicata->rDistance_; + } + + GW_Float rContrib, rContribTemp = 0; + + /* The 3 fronts are the same ************************************************************************************/ + if( pFront[0]==pFront[1] && pFront[1]==pFront[2] ) + { + if( pPolyContrib==NULL ) // the whole polygon is contributing + rContrib = Face.GetArea(); + else + rContrib = GW_PolygonIntersector::ComputePolygonArea( *pPolyContrib ); + + nID = pFront[0]->GetID(); + if( Weights.find(nID)==Weights.end() ) // first time some contribution for this vertex is computed + Weights[nID] = rContrib; + else + Weights[nID] += rContrib; + return rContrib; + } + + /* two fronts same and one front different ********************************************************************/ + for( GW_U32 i=0; i<3; ++i ) + { + GW_U32 i1 = (i+1)%3; + GW_U32 i2 = (i+2)%3; + if( pFront[i]!=pFront[i1] && pFront[i1]==pFront[i2] ) + { + /* compute intersection points *************************************/ + GW_GeodesicVertex::ComputeFrontIntersection( *pVert[i], d[i], *pVert[i1], d[i1], NULL, &lambda ); + GW_Vector2D inter1 = VertPos[i]*lambda + VertPos[i1]*(1-lambda); + GW_GeodesicVertex::ComputeFrontIntersection( *pVert[i], d[i], *pVert[i2], d[i2], NULL, &lambda ); + GW_Vector2D inter2= VertPos[i]*lambda + VertPos[i2]*(1-lambda); + + /* contribution for front i ****************************************/ + T_Vector2DList Poly1; // this is a triangle + Poly1.push_back(VertPos[i]); + Poly1.push_back(inter1); + Poly1.push_back(inter2); + GW_ASSERT( GW_PolygonIntersector::CheckOrientation( Poly1 ) ); + + if( pPolyContrib==NULL ) // the whole polygon is contributing + rContrib = GW_PolygonIntersector::ComputePolygonArea( Poly1 ); + else + { + GW_PolygonIntersector PolyInt; + PolyInt.PerformIntersection( Poly1, *pPolyContrib ); + rContrib = PolyInt.GetAreaIntersection(); + } + + rContribTemp = rContrib; + + nID = pFront[i]->GetID(); + if( Weights.find(nID)==Weights.end() ) // first time some contribution for this vertex is computed + Weights[nID] = rContrib; + else + Weights[nID] += rContrib; + + /* contribution for front i1 ****************************************/ + T_Vector2DList Poly2; // this is a quadrilater + Poly2.push_back(inter1); + Poly2.push_back(VertPos[i1]); + Poly2.push_back(VertPos[i2]); + Poly2.push_back(inter2); + GW_ASSERT( GW_PolygonIntersector::CheckOrientation( Poly2 ) ); + + if( pPolyContrib==NULL ) // the whole polygon is contributing + rContrib = GW_PolygonIntersector::ComputePolygonArea( Poly2 ); + else + { + GW_PolygonIntersector PolyInt; + PolyInt.PerformIntersection( Poly2, *pPolyContrib ); + rContrib = PolyInt.GetAreaIntersection(); + } + + rContribTemp += rContrib; + + nID = pFront[i1]->GetID(); + if( Weights.find(nID)==Weights.end() ) // first time some contribution for this vertex is computed + Weights[nID] = rContrib; + else + Weights[nID] += rContrib; + return rContribTemp; + } + } + + /* the 3 fronts are differents *************************************************************************/ + GW_ASSERT( pFront[0]!=pFront[1] && pFront[1]!=pFront[2] && pFront[2]!=pFront[0] ); + GW_Vector2D inter[3]; + /* compute intersection */ + for( GW_U32 i=0; i<3; ++i ) + { + GW_U32 i1 = (i+1)%3; + GW_U32 i2 = (i+2)%3; + GW_GeodesicVertex::ComputeFrontIntersection( *pVert[i1], d[i1], *pVert[i2], d[i2], NULL, &lambda ); + inter[i] = VertPos[i1]*lambda + VertPos[i2]*(1-lambda); + } + GW_Vector2D center = (inter[0]+inter[1]+inter[2])/3; + /* compute contribution */ + for( GW_U32 i=0; i<3; ++i ) + { + GW_U32 i1 = (i+1)%3; + GW_U32 i2 = (i+2)%3; + T_Vector2DList Poly; // this is a quadrilater + Poly.push_back(VertPos[i]); + Poly.push_back(inter[i2]); + Poly.push_back(center); + Poly.push_back(inter[i1]); + GW_ASSERT( GW_PolygonIntersector::CheckOrientation( Poly ) ); + + if( pPolyContrib==NULL ) // the whole polygon is contributing + rContrib = GW_PolygonIntersector::ComputePolygonArea( Poly ); + else + { + GW_PolygonIntersector PolyInt; + PolyInt.PerformIntersection( Poly, *pPolyContrib ); + rContrib = PolyInt.GetAreaIntersection(); + } + + nID = pFront[i]->GetID(); + if( Weights.find(nID)==Weights.end() ) // first time some contribution for this vertex is computed + Weights[nID] = rContrib; + else + Weights[nID] += rContrib; + + rContribTemp += rContrib; + } + return rContribTemp; +} + + + + +/*------------------------------------------------------------------------------*/ +// Name : GetReciprocicalDistanceWeights +/** +* \param Weights [T_FloatMap&] The weights for each neighbor. +* \param Mesh [GW_GeodesicMesh&] The mesh. +* \param Vert [GW_GeodesicVertex&] The vertex where we want to perform the interpolation. +* \author Gabriel Peyré +* \date 5-30-2003 +* +* Compute the weights for a reciprocical interpolation. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_VoronoiMesh::GetReciprocicalDistanceWeights( T_FloatMap& Weights, GW_GeodesicMesh& Mesh, GW_GeodesicVertex& Vert ) +{ + if( Vert.GetFace()==NULL ) + return; + + /* just correct the distance map if necessary */ + GW_GeodesicVertex* pStartVert = BaseVertexList_.back(); + if( pStartVert->GetFront()!=pStartVert ) + { + Mesh.RegisterVertexInsersionCallbackFunction( GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersion ); + GW_VoronoiMesh::ResetOnlyVertexState( Mesh ); + Mesh.PerformFastMarching( pStartVert ); + Mesh.RegisterVertexInsersionCallbackFunction( NULL ); + } + + if( !bInterpolationPreparationDone_ ) + { + GW_VoronoiMesh::PrepareInterpolation( Mesh ); + bInterpolationPreparationDone_ = GW_True; + } + + Weights.clear(); + pCurWeights_ = &Weights; + nNbrBaseVertex_RD_ = 0; + + /* special case for original point */ + for( IT_GeodesicVertexList it=BaseVertexList_.begin(); it!=BaseVertexList_.end(); ++it ) + { + if( &Vert==*it ) + { + Weights[ Vert.GetID() ] = 1; + return; + } + } + + /* First step : compute the natural neighbors ************************************************/ + /* perform a Fast Marching from the point */ + Mesh.RegisterVertexInsersionCallbackFunction( GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersionRD1 ); + GW_VoronoiMesh::ResetOnlyVertexState( Mesh ); + Mesh.PerformFastMarching( &Vert ); + + /* Second step : compute the weights *********************************************************/ + /* perform a Fast Marching from the point */ + Mesh.RegisterVertexInsersionCallbackFunction( GW_VoronoiMesh::FastMarchingCallbackFunction_VertexInsersionRD2 ); + Mesh.RegisterForceStopCallbackFunction( GW_VoronoiMesh::FastMarchingCallbackFunction_ForceStopRD ); + Mesh.ResetGeodesicMesh(); + Mesh.PerformFastMarching( &Vert ); + + /* scale so that weights sum to 1 */ + GW_Float rTotalWeigth = 0; + for( IT_FloatMap it=Weights.begin(); it!=Weights.end(); ++it ) + rTotalWeigth += it->second; + GW_ASSERT( rTotalWeigth>0 ); + for( IT_FloatMap it=Weights.begin(); it!=Weights.end(); ++it ) + it->second /= rTotalWeigth; + + Mesh.RegisterVertexInsersionCallbackFunction( NULL ); + Mesh.RegisterForceStopCallbackFunction( NULL ); +} + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_VoronoiVertex.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_VoronoiVertex.cpp new file mode 100644 index 0000000..108cd83 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_VoronoiVertex.cpp @@ -0,0 +1,112 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VoronoiVertex.cpp + * \brief Definition of class \c GW_VoronoiVertex + * \author Gabriel Peyré + * \date 4-19-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_VoronoiVertex.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_VoronoiVertex.h" + +#ifndef GW_USE_INLINE + #include "GW_VoronoiVertex.inl" +#endif + +using namespace GW; + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex constructor +/** + * \author Gabriel Peyré + * \date 4-19-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_VoronoiVertex::GW_VoronoiVertex() +: GW_Vertex (), + pBaseVertex_ ( NULL ) +{ + /* NOTHING */ +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex destructor +/** + * \author Gabriel Peyré + * \date 4-19-2003 + * + * Destructor. + */ +/*------------------------------------------------------------------------------*/ +GW_VoronoiVertex::~GW_VoronoiVertex() +{ + GW_SmartCounter::CheckAndDelete( pBaseVertex_ ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex::GetBaseVertex +/** + * \return [GW_Vertex*] The base vertex. + * \author Gabriel Peyré + * \date 4-19-2003 + * + * Return the vertex on the original mesh. + */ +/*------------------------------------------------------------------------------*/ +GW_GeodesicVertex* GW_VoronoiVertex::GetBaseVertex() +{ + return pBaseVertex_; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex::GetBaseVertex +/** +* \return [GW_Vertex*] The base vertex. +* \author Gabriel Peyré +* \date 4-19-2003 +* +* Return the vertex on the original mesh. +*/ +/*------------------------------------------------------------------------------*/ +const GW_GeodesicVertex* GW_VoronoiVertex::GetBaseVertex() const +{ + return pBaseVertex_; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex::SetBaseVertex +/** + * \param pBaseVertex [GW_Vertex] The base vertex. + * \author Gabriel Peyré + * \date 4-19-2003 + * + * Set the base vertex. + */ +/*------------------------------------------------------------------------------*/ +void GW_VoronoiVertex::SetBaseVertex( GW_GeodesicVertex& BaseVertex ) +{ + GW_SmartCounter::CheckAndDelete( pBaseVertex_ ); + pBaseVertex_ = &BaseVertex; + pBaseVertex_->UseIt(); + /* copy the parameters of the base mesh */ + this->SetPosition( BaseVertex.GetPosition() ); + this->SetNormal( BaseVertex.GetNormal() ); +} + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_VoronoiVertex.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_VoronoiVertex.h new file mode 100644 index 0000000..085ac1d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_VoronoiVertex.h @@ -0,0 +1,106 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VoronoiVertex.h + * \brief Definition of class \c GW_VoronoiVertex + * \author Gabriel Peyré + * \date 4-19-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_VORONOIVERTEX_H_ +#define _GW_VORONOIVERTEX_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Vertex.h" +#include "GW_GeodesicVertex.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** \name a list of GW_VoronoiVertex */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::list T_VoronoiVertexList; +typedef T_VoronoiVertexList::iterator IT_VoronoiVertexList; +typedef T_VoronoiVertexList::reverse_iterator RIT_VoronoiVertexList; +typedef T_VoronoiVertexList::const_iterator CIT_VoronoiVertexList; +typedef T_VoronoiVertexList::const_reverse_iterator CRIT_VoronoiVertexList; +//@} + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_VoronoiVertex */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_VoronoiVertexMap; +typedef T_VoronoiVertexMap::iterator IT_VoronoiVertexMap; +typedef T_VoronoiVertexMap::reverse_iterator RIT_VoronoiVertexMap; +typedef T_VoronoiVertexMap::const_iterator CIT_VoronoiVertexMap; +typedef T_VoronoiVertexMap::const_reverse_iterator CRIT_VoronoiVertexMap; +//@} + + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_VoronoiVertex + * \brief A vertex involved in a voronoi mesh. + * \author Gabriel Peyré + * \date 4-19-2003 + * + * Contains a pointer to a classical vertex. + */ +/*------------------------------------------------------------------------------*/ + +class GW_VoronoiVertex: public GW_Vertex +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_VoronoiVertex(); + virtual ~GW_VoronoiVertex(); + //@} + + GW_GeodesicVertex* GetBaseVertex(); + const GW_GeodesicVertex* GetBaseVertex() const; + void SetBaseVertex( GW_GeodesicVertex& BaseVertex ); + + //------------------------------------------------------------------------- + /** \name Graph management. */ + //------------------------------------------------------------------------- + //@{ + void AddNeighbor( GW_VoronoiVertex& Node ); + void RemoveNeighbor( GW_VoronoiVertex& Node ); + GW_Bool IsNeighbor( GW_VoronoiVertex& Node ); + IT_VoronoiVertexList BeginNeighborIterator(); + IT_VoronoiVertexList EndNeighborIterator(); + //@} + + +private: + + GW_GeodesicVertex* pBaseVertex_; + + /** data to build the graph before building the triangulation */ + T_VoronoiVertexList NeighborList_; + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_VoronoiVertex.inl" +#endif + + +#endif // _GW_VORONOIVERTEX_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_VoronoiVertex.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_VoronoiVertex.inl new file mode 100644 index 0000000..b201910 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/GW_VoronoiVertex.inl @@ -0,0 +1,113 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VoronoiVertex.inl + * \brief Inlined methods for \c GW_VoronoiVertex + * \author Gabriel Peyré + * \date 4-19-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_VoronoiVertex.h" + +namespace GW { + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex::AddNeighbor +/** +* \param Node [GW_VoronoiVertex&] The son node. +* \author Gabriel Peyré +* \date 5-15-2003 +* +* Add a new son to the list. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_VoronoiVertex::AddNeighbor( GW_VoronoiVertex& Node ) +{ + GW_ASSERT( !(this->IsNeighbor(Node)) ); + NeighborList_.push_back( &Node ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex::RemoveNeighbor +/** +* \param Node [GW_VoronoiVertex&] The son node. +* \author Gabriel Peyré +* \date 5-15-2003 +* +* Add a son to the list of sons. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_VoronoiVertex::RemoveNeighbor( GW_VoronoiVertex& Node ) +{ + NeighborList_.remove( &Node ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex::BeginNeighborIterator +/** +* \return [IT_VoronoiVertexList] The iterator. +* \author Gabriel Peyré +* \date 5-15-2003 +* +* begin iterator on the son list. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +IT_VoronoiVertexList GW_VoronoiVertex::BeginNeighborIterator() +{ + return NeighborList_.begin(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex::EndNeighborIterator +/** +* \return [IT_VoronoiVertexList] The iterator. +* \author Gabriel Peyré +* \date 5-15-2003 +* +* end iterator on the son list. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +IT_VoronoiVertexList GW_VoronoiVertex::EndNeighborIterator() +{ + return NeighborList_.end(); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VoronoiVertex::IsNeighbor +/** + * \param Node [GW_VoronoiVertex&] The vertex. + * \return [GW_Bool] Answer + * \author Gabriel Peyré + * \date 5-15-2003 + * + * Is the given vertex a neighbor of us ? + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_Bool GW_VoronoiVertex::IsNeighbor( GW_VoronoiVertex& Node ) +{ + for( IT_VoronoiVertexList it = this->BeginNeighborIterator(); it!=this->EndNeighborIterator(); ++it ) + { + GW_VoronoiVertex* pVert = *it; + GW_ASSERT( pVert!=NULL ); + if( pVert==&Node ) + return GW_True; + } + return GW_False; +} + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/gw_geodesic.vcproj b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/gw_geodesic.vcproj new file mode 100644 index 0000000..ad7e20e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/gw_geodesic.vcproj @@ -0,0 +1,314 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/stdafx.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/stdafx.cpp new file mode 100644 index 0000000..509cef4 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/stdafx.cpp @@ -0,0 +1,5 @@ +// stdafx.cpp : source file that includes just the standard includes +// gw_core.pch will be the pre-compiled header +// stdafx.obj will contain the pre-compiled type information + +#include "stdafx.h" diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/stdafx.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/stdafx.h new file mode 100644 index 0000000..3ebf8f0 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_geodesic/stdafx.h @@ -0,0 +1,75 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file Stdafx.h + * \brief Include for precompiled header. + * \author Gabriel Peyré + * \date 10-26-2002 + */ +/*------------------------------------------------------------------------------*/ +#ifndef _GW_GEODESIC_STDAFX_H_ +#define _GW_GEODESIC_STDAFX_H_ + +#pragma once + +/* 'identifier' : identifier was truncated to 'number' characters in the debug information */ +#pragma warning( disable : 4786 ) + +//------------------------------------------------------------------------- +/** \name C++ STL */ +//------------------------------------------------------------------------- +//@{ +#include +#include +#include +#include +#include +#include +#include +using std::string; +using std::cerr; +using std::cout; +using std::endl; +//@} + +//------------------------------------------------------------------------- +/** \name classical ANSI c libraries */ +//------------------------------------------------------------------------- +//@{ +#include +#include +#include +#include +#include +#include +//#include +#include +//#include +#include +#include +//#include +#include +//#include +//#include +//@} + + +#include "../gw_core/GW_MathsWrapper.h" + +/*----------------------------------------------------------------------*/ +/* win32 #include */ +/*----------------------------------------------------------------------*/ + +#ifdef WIN32 + /** main win32 header */ +// #include +#endif // _USE_WIN32_ + + +#endif // _STDAFX_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/all-wcprops b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/all-wcprops new file mode 100644 index 0000000..b76f399 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/all-wcprops @@ -0,0 +1,95 @@ +K 25 +svn:wc:ra_dav:version-url +V 81 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths +END +GW_Matrix2x2.h +K 25 +svn:wc:ra_dav:version-url +V 96 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/GW_Matrix2x2.h +END +GW_Matrix3x3.h +K 25 +svn:wc:ra_dav:version-url +V 96 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/GW_Matrix3x3.h +END +GW_MathsConfig.h +K 25 +svn:wc:ra_dav:version-url +V 98 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/GW_MathsConfig.h +END +GW_Matrix4x4.h +K 25 +svn:wc:ra_dav:version-url +V 96 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/GW_Matrix4x4.h +END +gw_complex.h +K 25 +svn:wc:ra_dav:version-url +V 94 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/gw_complex.h +END +GW_VectorStatic.h +K 25 +svn:wc:ra_dav:version-url +V 99 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/GW_VectorStatic.h +END +GW_MatrixStatic.h +K 25 +svn:wc:ra_dav:version-url +V 99 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/GW_MatrixStatic.h +END +GW_Maths.h +K 25 +svn:wc:ra_dav:version-url +V 92 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/GW_Maths.h +END +GW_SparseMatrix.h +K 25 +svn:wc:ra_dav:version-url +V 99 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/GW_SparseMatrix.h +END +GW_VectorND.h +K 25 +svn:wc:ra_dav:version-url +V 95 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/GW_VectorND.h +END +GW_Quaternion.h +K 25 +svn:wc:ra_dav:version-url +V 97 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/GW_Quaternion.h +END +GW_Vector2D.h +K 25 +svn:wc:ra_dav:version-url +V 95 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/GW_Vector2D.h +END +GW_Vector3D.h +K 25 +svn:wc:ra_dav:version-url +V 95 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/GW_Vector3D.h +END +GW_MatrixNxP.h +K 25 +svn:wc:ra_dav:version-url +V 96 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/GW_MatrixNxP.h +END +GW_Vector4D.h +K 25 +svn:wc:ra_dav:version-url +V 95 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/GW_Vector4D.h +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/entries 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b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/format new file mode 100644 index 0000000..45a4fb7 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/format @@ -0,0 +1 @@ +8 diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_MathsConfig.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_MathsConfig.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_MathsConfig.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_Matrix2x2.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_Matrix2x2.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_Matrix2x2.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_Matrix3x3.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_Matrix3x3.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_Matrix3x3.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_Matrix4x4.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_Matrix4x4.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_Matrix4x4.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_MatrixNxP.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_MatrixNxP.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_MatrixNxP.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_MatrixStatic.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_MatrixStatic.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_MatrixStatic.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_Quaternion.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_Quaternion.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_Quaternion.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_SparseMatrix.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_SparseMatrix.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_SparseMatrix.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_Vector3D.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_Vector3D.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_Vector3D.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_Vector4D.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_Vector4D.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_Vector4D.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_VectorND.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_VectorND.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/GW_VectorND.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/gw_complex.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/gw_complex.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/prop-base/gw_complex.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_Maths.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_Maths.h.svn-base new file mode 100644 index 0000000..f18d6cb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_Maths.h.svn-base @@ -0,0 +1,587 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Maths.h + * \brief Definition of class \c GW_Maths + * \author Gabriel Peyré + * \date 10-28-2002 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_MATHS_H_ +#define _GW_MATHS_H_ + +#include "GW_MathsConfig.h" +#include "GW_Vector3D.h" // here +#include "GW_Vector2D.h" +//#include "GW_MatrixNxP.h" +// #include "GW_VectorND.h" +// #include "GW_MatrixStatic.h" +// #include "GW_VectorStatic.h" + +GW_BEGIN_NAMESPACE + + +/** Numerical storage methods */ +GW_Float **matrix(long nrl, long nrh, long ncl, long nch); +void free_matrix(GW_Float **m, long nrl, long nrh, long ncl, long nch); +GW_Float *fvector(long nl, long nh); +void free_vector(GW_Float *v, long nl, long nh); +void ludcmp(GW_Float **a, GW_I32 n, GW_I32 *indx, GW_Float *d); +void lubksb(GW_Float **a, GW_I32 n, GW_I32 *indx, GW_Float b[]); + + + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_Maths + * \brief Basic Maths functions. + * \author Gabriel Peyré + * \date 10-28-2002 + * + * A bunch of useful functions to work on a sphere. Warning : All + * vectors are assumed to live un the sphere of radius 1 : the must + * be normalized. + */ +/*------------------------------------------------------------------------------*/ +class GW_Maths +{ + +public: + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::SphericalTriangleArea + /** + * \param v1 [GW_Vector3D&] Point of the triangle. + * \param v2 [GW_Vector3D&] Point of the triangle. + * \param v3 [GW_Vector3D&] Point of the triangle. + * \return [GW_Float] The area. + * \author Gabriel Peyré + * \date 10-28-2002 + * + * Compute the area of a spherical triangle. + */ + /*------------------------------------------------------------------------------*/ + GW_Float SphericalTriangleArea(const GW_Vector3D& v1, const GW_Vector3D& v2, const GW_Vector3D& v3) + { + // first find the cosine of the arc lengths + GW_Real64 cos_a = v2 * v3; + GW_Real64 cos_b = v1 * v3; + GW_Real64 cos_c = v1 * v2; + + // now the sine (positive since 0 <= a <= pi) + GW_Real64 sin_a = sqrt( 1. - cos_a * cos_a ); + GW_Real64 sin_b = sqrt( 1. - cos_b * cos_b ); + GW_Real64 sin_c = sqrt( 1. - cos_c * cos_c ); + + // now find the angles A, B, and C + GW_Real64 A = acos( ( cos_a - cos_b * cos_c ) / ( sin_b * sin_c ) ); + GW_Real64 B = acos( ( cos_b - cos_c * cos_a ) / ( sin_c * sin_a ) ); + GW_Real64 C = acos( ( cos_c - cos_a * cos_b ) / ( sin_a * sin_b ) ); + + return (GW_Float) ( A + B + C - GW_PI ); + } + + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::FlatTriangleArea + /** + * \param v1 [GW_Vector2D&] a point of the triangle. + * \param v2 [GW_Vector2D&] a point of the triangle. + * \param v3 [GW_Vector2D&] a point of the triangle. + * \return [GW_Float] The area + * \author Gabriel Peyré + * \date 10-28-2002 + * + * Compute the area of a plane triangle. + */ + /*------------------------------------------------------------------------------*/ + static GW_Float FlatTriangleArea(const GW_Vector2D& v1, const GW_Vector2D& v2, const GW_Vector2D& v3) + { + /* half the Z component of the cross product (v2-v1)^(v3-v1) */ + return 0.5f * GW_ABS( (v2[0]-v1[0])*(v3[1]-v1[1])-(v2[1]-v1[1])*(v3[0]-v1[0]) ); + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::FlatTriangleArea + /** + * \param v1 [GW_Vector3D&] a point of the triangle. + * \param v2 [GW_Vector3D&] a point of the triangle. + * \param v3 [GW_Vector3D&] a point of the triangle. + * \return [GW_Float] The area + * \author Gabriel Peyré + * \date 10-28-2002 + * + * Compute the area of a plane triangle. + */ + /*------------------------------------------------------------------------------*/ + static GW_Float FlatTriangleArea(const GW_Vector3D& v1, const GW_Vector3D& v2, const GW_Vector3D& v3) + { + return 0.5f * ~( (v2-v1)^(v3-v1) ); + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::FlatQuadrilaterArea + /** + * \param v1 [GW_Vector3D&] 1st point. + * \param v2 [GW_Vector3D&] 2nd point. + * \param v3 [GW_Vector3D&] 3rd point. + * \param v4 [GW_Vector3D&] 4th point. + * \return [GW_Float] Area. + * \author Gabriel Peyré + * \date 5-30-2003 + * + * Compute the area of a CONVEX quadrilater. + */ + /*------------------------------------------------------------------------------*/ + static GW_Float FlatQuadrilaterArea( const GW_Vector3D& v1, const GW_Vector3D& v2, const GW_Vector3D& v3, const GW_Vector3D& v4 ) + { + GW_Float rArea = 0; + rArea += GW_Maths::FlatTriangleArea(v1, v2, v3); + rArea += GW_Maths::FlatTriangleArea(v3, v4, v1); + return rArea; + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::FlatTriangleNormal + /** + * \param Normal [GW_Vector3D&] The return value. + * \param v1 [GW_Vector3D&] A point in the triangle. + * \param v2 [GW_Vector3D&] A point in the triangle. + * \param v3 [GW_Vector3D&] A point in the triangle. + * \author Gabriel Peyré + * \date 10-28-2002 + * + * Comute the normal of a triangle, assuming CW orientation. + */ + /*------------------------------------------------------------------------------*/ + static void FlatTriangleNormal(GW_Vector3D& Normal, const GW_Vector3D& v1, const GW_Vector3D& v2, const GW_Vector3D& v3) + { + Normal = (v2-v1)^(v3-v1); + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::ComputeTriangleArea + /** + * \param a [GW_Float] Length of a side. + * \param b [GW_Float] Length of a side. + * \param c [GW_Float] Length of a side. + * \return Area of the triangle. + * \author Gabriel Peyré + * \date 4-27-2003 + * + * Compute the area of a triangle using Heron rule. + */ + /*------------------------------------------------------------------------------*/ + static GW_Float ComputeTriangleArea( GW_Float a, GW_Float b, GW_Float c ) + { + GW_Float p = (GW_Float) 0.5*(a+b+c); + if( p*(p-a)*(p-b)*(p-c)<0 ) + return 0; + return (GW_Float) sqrt( p*(p-a)*(p-b)*(p-c) ); + } + + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::ConvertCartesianToSpherical + /** + * \param Pos [GW_Vector3D] Absolute position of the point. + * \param rLong [GW_Float&] Return value : longitude. + * \param rLat [GW_Float&] Return value : latitude. + * \author Gabriel Peyré + * \date 10-27-2002 + * + * Convert from absolute cartesian coords to polar coords + */ + /*------------------------------------------------------------------------------*/ + static void ConvertCartesianToSpherical(const GW_Vector3D& Pos, GW_Float& rLong, GW_Float& rLat) + { + GW_ASSERT( Pos[0] <= 1 ); + GW_ASSERT( Pos[0] >= -1 ); + GW_ASSERT( Pos[2] <= 1 ); + GW_ASSERT( Pos[2] >= -1 ); + + rLat = (GW_Float) asin( Pos[2] ); + + GW_Float rVal = (GW_Float) sqrt( Pos[0]*Pos[0] + Pos[1]*Pos[1] ); + if( rVal==0 ) + rLong = 0; + else + { + rVal = Pos[0]/rVal; + GW_ASSERT( rVal >= -1 ); + GW_ASSERT( rVal <= 1 ); + if( rVal < -1 ) + rVal = -1; + if( rVal > 1 ) + rVal = 1; + rLong = (GW_Float) acos( rVal ); + if( Pos[1]<0 ) + rLong = GW_TWOPI-rLong; + } + } + + static void SolveLU( GW_Float **a, GW_I32 n, GW_Float *b ) + { + GW_Float d; + GW_I32* indx = new GW_I32[n]; + ludcmp(a,n,indx-1,&d); + lubksb(a,n,indx-1,b); + GW_DELETEARRAY( indx ); + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::Fit2ndOrderPolynomial2D + /** + * \param Points[2][6] [GW_Float] Coordinates of the points. + * \param Values[6] [GW_Float] Value of the function. + * \param Coeffs[6] [GW_Float] Coefficients. + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Find the coefficients of a 2nd order 2D polynomial that pass + * through 6 points. The coefficients are given in that order : + * cst, X, Y, XY, X^2, Y^2. + */ + /*------------------------------------------------------------------------------*/ + static void Fit2ndOrderPolynomial2D( const GW_Float Points[6][2], const GW_Float Values[6], GW_Float Coeffs[6] ) + { + /* build the matrix */ + GW_Float** M = matrix(1,6,1,6); + + for( GW_U32 i=0; i<6; ++i ) + Coeffs[i] = Values[i]; + for( GW_U32 i=1; i<=6; ++i ) + { + GW_Float x = Points[i-1][0]; + GW_Float y = Points[i-1][1]; + M[i][1] = 1; + M[i][2] = x; + M[i][3] = y; + M[i][4] = x*y; + M[i][5] = x*x; + M[i][6] = y*y; + } + GW_Maths::SolveLU( (GW_Float**) M, 6, Coeffs-1 ); + + free_matrix( M, 1,6,1,6 ); + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::ComputeLocalGeodesicParameter + /** + * \param x [GW_Float&] 1st geodesic coord in LOCAL COORDS + * \param y [GW_Float&] 2nd geodesic coord in LOCAL COORDS + * \param z [GW_Float&] 3rd geodesic coord in LOCAL COORDS + * \param a [GW_Float] 1st geodesic coord GLOBAL COORDS + * \param b [GW_Float] 2nd geodesic coord GLOBAL COORDS + * \param c [GW_Float] 3rd geodesic coord GLOBAL COORDS + * \param a0 [GW_Float] 1st geodesic coord GLOBAL COORDS + * \param b0 [GW_Float] 2nd geodesic coord GLOBAL COORDS + * \param c0 [GW_Float] 3rd geodesic coord GLOBAL COORDS + * \param a1 [GW_Float] 1st geodesic coord GLOBAL COORDS + * \param b1 [GW_Float] 2nd geodesic coord GLOBAL COORDS + * \param c1 [GW_Float] 3rd geodesic coord GLOBAL COORDS + * \param a2 [GW_Float] 2nd geodesic coord GLOBAL COORDS + * \param b2 [GW_Float] 3rd geodesic coord GLOBAL COORDS + * \param c2 [GW_Float] 3rd geodesic coord GLOBAL COORDS + * \return >=0 if the conversion was successful, <0 otherwise. + * \author Gabriel Peyré + * \date 4-30-2003 + * + * Convert from global parametric coords to local ones. + */ + /*------------------------------------------------------------------------------*/ + static GW_I32 ComputeLocalGeodesicParameter( GW_Float& x, GW_Float& y, GW_Float& z, + GW_Float a, GW_Float b, GW_Float c, + GW_Float a0, GW_Float b0, GW_Float c0, + GW_Float a1, GW_Float b1, GW_Float c1, + GW_Float a2, GW_Float b2, GW_Float c2 ) + { + /* the system to solve is : + [a0 a1 a2] [x] [a] + [b0 b1 b2]*[y] = [b] + [c0 c1 c2] [z] [c] + Using x+y+z = 1, this becomes : + [a0-a2 a1-a2] [x] [a-a2] + [b0-b2 b1-b2]*[y] = [b-b2] + */ + GW_Float m00 = a0-a2; + GW_Float m01 = a1-a2; + GW_Float m10 = b0-b2; + GW_Float m11 = b1-b2; + GW_Float rDet = m00*m11-m01*m10; + a = a - a2; // rhs modification + b = b - b2; + // GW_ASSERT( rDet!=0 ); + /* The inverse of the matrix is : + [m11 -m01] + [-m10 m00] * 1/rDet */ + if( GW_ABS(rDet)>GW_EPSILON ) + { + x = 1/rDet * ( m11*a - m01*b ); + y = 1/rDet * (-m10*a + m00*b ); + z = 1 - x - y; + } + else + { + x = y = z = -GW_INFINITE; + return -1; + } + return 0; + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::TestClass + /** + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Test the class. + */ + /*------------------------------------------------------------------------------*/ + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_Maths", s); + GW_Float Points[6][2]; + GW_Float Values[6]; + GW_Float Coeffs[6]; + for( GW_U32 i=0; i<6; ++i ) + { + Points[i][0] = GW_RAND; + Points[i][1] = GW_RAND; + Values[i] = GW_RAND; + } + GW_Maths::Fit2ndOrderPolynomial2D( Points, Values, Coeffs ); + for( GW_U32 i=0; i<6; ++i ) + { + GW_Float x = Points[i][0]; + GW_Float y = Points[i][1]; + GW_Float t = Coeffs[0] + Coeffs[1]*x + Coeffs[2]*y + Coeffs[3]*x*y + + Coeffs[4]*x*x + Coeffs[5]*y*y; + GW_ASSERT( GW_ABS(t-Values[i]) + inline + static void Convert(GW_VectorND& a, const GW_VectorStatic& b) + { + a.Reset( v_size ); + for( GW_U32 i=0; i + inline + static void Convert(GW_MatrixNxP& a, const GW_MatrixStatic& b) + { + a.Reset( r_size, c_size ); + for( GW_U32 i=0; i + inline + static void Convert(GW_VectorStatic& a, const GW_VectorND& b) + { + GW_ASSERT( v_size==b.GetDim() ); + for( GW_U32 i=0; i + inline + static void Convert( GW_MatrixStatic& a, const GW_MatrixNxP& b) + { + GW_ASSERT( r_size==b.GetNbrRows() && c_size==b.GetNbrCols() ); + for( GW_U32 i=0; i big) big = (GW_Float) temp; + GW_ASSERT(big != 0.0); + vv[i] = (GW_Float) 1.0/big; + } + for (j=1;j<=n;j++) + { + for (i=1;i= big) + { + big=dum; + imax=i; + } + } + if (j != imax) + { + for (k=1;k<=n;k++) + { + dum=a[imax][k]; + a[imax][k]=a[j][k]; + a[j][k]=dum; + } + *d = -(*d); + vv[imax]=vv[j]; + } + indx[j]=imax; + if (a[j][j] == 0.0) a[j][j]=GW_EPSILON; + if (j != n) + { + dum=1.0/(a[j][j]); + for (i=j+1;i<=n;i++) a[i][j] *= dum; + } + } + free_vector( vv, 1, n ); +} + +/************************************************************************/ +/* + Solves the set of n linear equations A·X = B. Here a[1..n][1..n] is input, not as the matrix + A but rather as its LU decomposition, determined by the routine ludcmp. indx[1..n] is input + as the permutation vector returned by ludcmp. b[1..n] is input as the right-hand side vector + B, and returns with the solution vector X. a, n, and indx are not modi?ed by this routine + and can be left in place for successive calls with di?erent right-hand sides b. This routine takes + into account the possibility that b will begin with many zero elements, so it is e?cient for use + in matrix inversion. +*/ +/************************************************************************/ +inline +void lubksb(GW_Float **a, GW_I32 n, GW_I32 *indx, GW_Float b[]) +{ + GW_I32 i,ii=0,ip,j; + GW_Float sum; + for( i=1;i<=n;i++ ) + { + ip=indx[i]; + sum=b[ip]; + b[ip]=b[i]; + if (ii) + { + for (j=ii;j<=i-1;j++) + sum -= a[i][j]*b[j]; + } + else + { + if (sum) + ii=i; + } + b[i]=sum; + } + for( i=n;i>=1;i-- ) + { + sum=b[i]; + for (j=i+1;j<=n;j++) + sum -= a[i][j]*b[j]; + b[i]=sum/a[i][i]; + } +} + + +GW_END_NAMESPACE + + +#endif // _GW_MATHS_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_MathsConfig.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_MathsConfig.h.svn-base new file mode 100644 index 0000000..a8f8a1f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_MathsConfig.h.svn-base @@ -0,0 +1,371 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Config.h + * \brief Main configuration file. + * \author Gabriel Peyré + * \date 10-26-2002 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_MATHSCONFIG_H_ +#define _GW_MATHSCONFIG_H_ + + +//------------------------------------------------------------------------- +/** \name C++ STL */ +//------------------------------------------------------------------------- +//@{ +#include +#include +#include +#include +#include +#include +#include +#include +using std::string; +using std::cerr; +using std::cout; +using std::endl; +//@} + +//------------------------------------------------------------------------- +/** \name classical ANSI c libraries */ +//------------------------------------------------------------------------- +//@{ + +#include +#include +#include +#include +#include +#include +//#include +#include +//#include +#include +#include +//#include +//@} +/* +#ifdef GW_DEBUG + #pragma comment(lib, "laspack_dbg.lib") +#else + #pragma comment(lib, "laspack.lib") +#endif // GW_DEBUG +*/ +namespace GW { + + +//------------------------------------------------------------------------- +/** \name debug & inline directive */ +//------------------------------------------------------------------------- +//@{ +#ifdef _DEBUG + #ifndef GW_DEBUG + #define GW_DEBUG + #endif // GW_DEBUG +#endif // _DEBUG + +#ifndef GW_DEBUG + #ifndef GW_USE_INLINE + #define GW_USE_INLINE + #endif // GW_USE_INLINE +#endif // GW_DEBUG + +#ifdef GW_USE_INLINE + #ifndef GW_INLINE + #define GW_INLINE inline + #endif // GWION3D_INLINE +#else + #ifndef GW_INLINE + #define GW_INLINE + #endif // GW_INLINE +#endif // GW_USE_INLINE +//@} + +//------------------------------------------------------------------------- +/** \name Name space management */ +//------------------------------------------------------------------------- +//@{ +#define GW_BEGIN_NAMESPACE namespace GW { +#define GW_END_NAMESPACE } +//@} + +//------------------------------------------------------------------------- +/** \name Basic types */ +//------------------------------------------------------------------------- +//@{ +#ifdef __UNIX__ + typedef char GW_I8; + typedef unsigned char GW_U8; + typedef short GW_I16; + typedef unsigned short GW_U16; + typedef long GW_I32; + typedef unsigned long GW_U32; + typedef long long int GW_I64; + typedef unsigned long long int GW_U64; + typedef float GW_Real32; + typedef double GW_Real64; + typedef bool GW_Bool; + typedef GW_Real64 GW_Float; +#elif defined (WIN32) + typedef char GW_I8; + typedef unsigned char GW_U8; + typedef short GW_I16; + typedef unsigned short GW_U16; + typedef long GW_I32; + typedef unsigned long GW_U32; + // typedef __int64 GW_I64; + // typedef unsigned __int64 GW_U64; + typedef float GW_Real32; + typedef double GW_Real64; + typedef bool GW_Bool; + typedef GW_Real64 GW_Float; +#elif defined (_PS2_) + typedef char GW_I8; + typedef unsigned char GW_U8; + typedef short GW_I16; + typedef unsigned short GW_U16; + typedef int GW_I32; + typedef unsigned int GW_U32; + typedef long long GW_I64; + typedef unsigned long long GW_U64; + typedef float GW_Real32; + typedef double GW_Real64; + typedef GW_I8 GW_Bool; + typedef GW_Real64 GW_Float; +#else + #error "Unknown architecture !" +#endif + + typedef void* GW_UserData; + + /** value returned by function to indicates error GW GW_OK */ + typedef GW_I32 GW_RETURN_CODE; + +//@} + + +//------------------------------------------------------------------------- +/** \name numerical macros */ +//------------------------------------------------------------------------- +//@{ +#undef MIN +#undef MAX +#define MIN(a, b) ((a) < (b) ? (a) : (b)) //!< Returns the min value between a and b +#define MAX(a, b) ((a) > (b) ? (a) : (b)) //!< Returns the max value between a and b +#define MAXMAX(a,b,c) ((a) > (b) ? MAX (a,c) : MAX (b,c)) +#define GW_MIN(a, b) MIN(a,b) //!< Returns the min value between a and b +#undef GW_MAX // already defined by Windows.h ... +#define GW_MAX(a, b) MAX(a,b) //!< Returns the max value between a and b +#define GW_MAXMAX(a,b,c) MAXMAX(a,b,c) + +#define GW_SCALE_01(x,rMin,rMax) ((x-rMin)/(rMax-rMin)) + +#define GW_ABS(a) ((a) > 0 ? (a) : -(a)) //!< Returns the absolute value a + +#define SQR(x) ((x)*(x)) //!< Returns x square +#define CUBE(x) ((x)*(x)*(x)) //!< Returns x cube +#define GW_SQR(x) SQR(x) //!< Returns x square +#define GW_CUBE(x) CUBE(x) //!< Returns x cube + +#define GW_CLAMP_01(x) if( (x)<0 ) x=0; if( (x)>1 ) x=1 +#define GW_CLAMP(x, a,b) if( (x)b ) x=b + +#define GW_SWAP(x,y) x^=y; y^=x; x^=y +#define GW_ORDER(x,y) if(x>y){ GW_SWAP(x,y); } +//@} + +//------------------------------------------------------------------------- +/** \name generic macros */ +//------------------------------------------------------------------------- +//@{ +/** a random number in [0-1] */ +#define GW_RAND ((GW_Float) (rand()%10000))/10000 +/** a random number in [a,b] */ +#define GW_RAND_RANGE(a,b) (a)+((b)-(a))*((GW_Float) (rand()%10000))/10000 +/** delete a single pointer */ +#define GW_DELETE(p) {if (p!=NULL) delete p; p=NULL;} +/** delete an array pointer */ +#define GW_DELETEARRAY(p) {if (p!=NULL) delete [] p; p=NULL;} +//@} + +//------------------------------------------------------------------------- +/** \name some constants */ +//------------------------------------------------------------------------- +//@{ +#define GW_True true +#define GW_False false +/** to make aproximate computations (derivation, GW_Float comparaisons ...) */ +#define GW_EPSILON 1e-9 +/** very big number */ +#define GW_INFINITE 1e9 +/** The temporary file we use to launch debug test involving stream I/O */ +#define GW_TEST_FILE "test.bin" +//@} + +//------------------------------------------------------------------------- +/** \name numerical constants */ +//------------------------------------------------------------------------- +//@{ +/** pi */ +#define GW_PI 3.1415926535897932384626433832795028841971693993751f +/** pi/2 */ +#define GW_HALFPI 1.57079632679489661923f +/** 2*pi */ +#define GW_TWOPI 6.28318530717958647692f +/** 1/pi */ +#define GW_INVPI 0.31830988618379067154f +/** 180/pi */ +#define GW_RADTODEG(x) (x)*57.2957795130823208768f +/** pi/180 */ +#define GW_DEGTORAD(x) (x)*0.01745329251994329577f +/** e */ +#define GW_EXP 2.71828182845904523536f +/** 1/log10(2) */ +#define GW_ILOG2 3.32192809488736234787f +/** 1/3 */ +#define GW_INV3 0.33333333333333333333f +/** 1/6 */ +#define GW_INV6 0.16666666666666666666f +/** 1/9 */ +#define GW_INV7 0.14285714285714285714f +/** 1/9 */ +#define GW_INV9 0.11111111111111111111f +/** 1/255 */ +#define GW_INV255 0.00392156862745098039f +/** sqrt(2) */ +#define GW_SQRT2 1.41421356237f +//@} + +//------------------------------------------------------------------------- +/** \name assertion macros */ +//------------------------------------------------------------------------- +//@{ +#ifdef GW_DEBUG + #ifndef GW_ASSERT + #define GW_ASSERT(expr) _ASSERT(expr) + #endif + #ifndef GW_DEBUG_ONLY + #define GW_DEBUG_ONLY(expr) expr + #endif +#else + #ifndef GW_ASSERT + #define GW_ASSERT(expr) if(!(expr)) cerr << "Error in file " << __FILE__ << " line " << __LINE__ << "." << endl + #endif + #ifndef GW_DEBUG_ONLY + #define GW_DEBUG_ONLY(expr) + #endif +#endif // GW_DEBUG +//@} + +//------------------------------------------------------------------------- +/** \name GW return codes */ +//------------------------------------------------------------------------- +//@{ +#define GW_OK 0 +#define GW_ERROR -9 +#define GW_Invalid_Argument -10 +#define GW_Unknown_Argument -11 +#define GW_Error_Opening_File -14 +#define GW_Error_File_Not_Supported -15 +#define GW_Error_Argument_OutOfRange -17 +#define GW_Error_Buffer_OverFlow -18 +//@} + +/** coordinates */ +#ifndef _GW_CONFIG_H_ +enum GW_Coord_XYZW +{ + X, Y, Z, W +}; +#endif + +/** header and footer for tests */ +inline +void TestClassHeader(const char* class_name, std::ostream &s) +{ + s << "---------------------------------------------------------" << endl; + s << "Begining test for class " << class_name << " ..." << endl; +} +inline +void TestClassFooter(const char* class_name, std::ostream &s) +{ + s << "Test successful for class " << class_name << "." << endl; +} + + +#if 1 +/** Traits class. This is the basic traits from wich each + implementation for standard traits (float, double, etc) will use. + Gives default implementations. */ +template +struct gw_basic_type_traits +{ + static numT SquareModulus(const numT& val) + { return val*val; } + static numT Modulus(const numT& val) + { return GW_ABS(val); } + /** A value used for equality test. */ + numT Epsilon() + { return 1e-9; } + /** must retrun a number at random between say [0,1] */ + static numT Random(const numT& min, const numT& max) + { return GW_RAND_RANGE(min,max); } + static const char* GetBasicTypeName() + { return NULL; } + static GW_Bool IsInvertible(const numT& x) + { return x!=0; } +}; +template <> +struct gw_basic_type_traits +{ + static GW_Float SquareModulus(const GW_Float& val) + { return val*val; } + /** A value used for equality test. */ + static GW_Float Epsilon() + { return 1e-9; } + /** must retrun a number at random between say [0,1] */ + static GW_Float Random(const GW_Float& min, const GW_Float& max) + { return GW_RAND_RANGE(min,max); } + static const char* GetBasicTypeName() + { return NULL; } +}; +template <> +struct gw_basic_type_traits +{ + /** A value used for equality test. */ + static double Epsilon() + { return 1e-5; } + /** must retrun a number at random between say [0,1] */ + static int Random(const int& min, const int& max) + { + #pragma warning( disable : 4244 ) + return (int) GW_RAND_RANGE(min,max+1); + } + static const char* GetBasicTypeName() + { return "int"; } +}; +#endif + +} // End namespace GW + +#ifdef GW_DEBUG +#define new new(_NORMAL_BLOCK,__FILE__, __LINE__) +#endif + +#endif // _GW_CONFIG_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (C) 2000-2002 The Orion3D Rewiew Board // +//---------------------------------------------------------------------------// +// This file is under the Orion3D licence. // +// Refer to orion3d_licence.txt for more details about the Orion3D Licence. // +//---------------------------------------------------------------------------// +// Ce fichier est soumis a la Licence Orion3D. // +// Se reporter a orion3d_licence.txt pour plus de details sur cette licence.// +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_Matrix2x2.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_Matrix2x2.h.svn-base new file mode 100644 index 0000000..504f8ee --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_Matrix2x2.h.svn-base @@ -0,0 +1,224 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Matrix2x2.h + * \brief Definition of class \c GW_Matrix2x2 + * \author Gabriel Peyré 2001-09-18 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef __GW_Matrix2x2_h_ +#define __GW_Matrix2x2_h_ + +#include "GW_MathsConfig.h" +#include "GW_Maths.h" +#include "GW_MatrixStatic.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_Matrix2x2 + * \brief A matrix of dimension 3. + * \author Gabriel Peyré 2001-09-18 + * + * A 3x3 transformation matrix. Warning : NOT THE SAME PACKING THAN OPENGL + * (here we use *row* major convention) + */ +/*------------------------------------------------------------------------------*/ + +class GW_Matrix2x2: public GW_MatrixStatic<2,2,GW_Float> +{ + +public: + + GW_Matrix2x2(): GW_MatrixStatic<2,2,GW_Float>() {} + GW_Matrix2x2(const GW_MatrixStatic<2,2,GW_Float>& m): GW_MatrixStatic<2,2,GW_Float>(m) {} + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix2x2 constructor + * + * \author Gabriel Peyré 2001-11-06 + * + * Initialize the matrix with given coordinates. + */ + /*------------------------------------------------------------------------------*/ + GW_Matrix2x2( GW_Float m00, GW_Float m01, + GW_Float m10, GW_Float m11 ) + { + aData_[0][0]=m00; aData_[0][1]=m01; + aData_[1][0]=m10; aData_[1][1]=m11; + } + + GW_Matrix2x2( GW_Vector2D& v1, GW_Vector2D& v2 ) + { + aData_[0][0]=v1[0]; aData_[0][1]=v2[0]; + aData_[1][0]=v1[1]; aData_[1][1]=v2[1]; + } + + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix2x2::SetData + * + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void SetData( GW_Float m00, GW_Float m01, + GW_Float m10, GW_Float m11 ) + { + aData_[0][0]=m00; aData_[0][1]=m01; + aData_[1][0]=m10; aData_[1][1]=m11; + } + + void SetData( GW_U32 i, GW_U32 j, GW_Float r ) + { + GW_ASSERT( i<2 && j<2 ); + aData_[i][j] = r; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix2x2::Invert + * + * \param a matrix to invert + * \param r result. + * \author Gabriel Peyré 2001-11-06 + * + * Use of Cramer formula for speed up in dimension 2. + */ + /*------------------------------------------------------------------------------*/ + static void Invert(const GW_Matrix2x2& a, GW_Matrix2x2& r) + { + GW_Float det = a.GetData(0,0)*a.GetData(1,1) - a.GetData(1,0)*a.GetData(0,1); + if( det==0 ) + return; + det = 1/det; + r.SetData(0,0, det*a.GetData(1,1)); + r.SetData(1,0, -det*a.GetData(1,0)); + r.SetData(0,1, -det*a.GetData(0,1)); + r.SetData(1,1, det*a.GetData(0,0)); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix2x2::Invert + * + * \return the inverse of the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Matrix2x2 Invert() const + { + GW_Matrix2x2 r; + GW_Matrix2x2::Invert(*this, r); + return r; + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : AutoInvert + * + * \author Gabriel Peyré 2001-11-06 + * + * Invert the matrix. + */ + /*------------------------------------------------------------------------------*/ + void AutoInvert() + { + GW_Matrix2x2 r; + GW_Matrix2x2::Invert(*this, r); + (*this) = r; + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix2x2::GetX + * + * \return X vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Vector2D GetX() const + { + return this->GetColumn(X); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix2x2::GetY + * + * \return Y vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Vector2D GetY() const + { + return this->GetColumn(Y); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix2x2::SetX + * + * \param v X vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void SetX( const GW_Vector2D& v) + { + return this->SetColumn(v,X); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix2x2::SetX + * + * \param v Y vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void SetY( const GW_Vector2D& v) + { + return this->SetColumn(v,Y); + } + + /** solve the linear system A*x=b */ + void Solve( GW_Vector2D& x, const GW_Vector2D& b ) const + { + GW_Matrix2x2 M = this->Invert(); + x = M*b; + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_Matrix2x2", s); + cout << "Test for matrix inversion : " << endl; + GW_Matrix2x2 M; + M.Randomize(); + cout << "Matrix M = " << M << endl; + GW_Matrix2x2 MM = M.Invert(); + cout << "Matrix M^-1 = " << MM << endl; + GW_Float err = (M*MM - GW_Matrix2x2()).Norm2(); + cout << "|| MM^-1 - ID ||_2 = " << err << endl; + GW_ASSERT( err +{ + +public: + + GW_Matrix3x3(): GW_MatrixStatic<3,3,GW_Float>() {} + GW_Matrix3x3(const GW_MatrixStatic<3,3,GW_Float>& m): GW_MatrixStatic<3,3,GW_Float>(m) {} + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3 constructor + * + * \author Gabriel Peyré 2001-11-06 + * + * Initialize the matrix with given coordinates. + */ + /*------------------------------------------------------------------------------*/ + GW_Matrix3x3( GW_Float m00, GW_Float m01, GW_Float m02, + GW_Float m10, GW_Float m11, GW_Float m12, + GW_Float m20, GW_Float m21, GW_Float m22 ) + { + aData_[0][0]=m00; aData_[0][1]=m01; aData_[0][2]=m02; + aData_[1][0]=m10; aData_[1][1]=m11; aData_[1][2]=m12; + aData_[2][0]=m20; aData_[2][1]=m21; aData_[2][2]=m22; + } + + GW_Matrix3x3( GW_Vector3D& v1, GW_Vector3D& v2, GW_Vector3D& v3 ) + { + aData_[0][0]=v1[0]; aData_[0][1]=v2[0]; aData_[0][2]=v3[0]; + aData_[1][0]=v1[1]; aData_[1][1]=v2[1]; aData_[1][2]=v3[1]; + aData_[1][0]=v1[2]; aData_[2][1]=v2[2]; aData_[2][2]=v3[2]; + } + + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::SetData + * + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void SetData( GW_Float m00, GW_Float m01, GW_Float m02, + GW_Float m10, GW_Float m11, GW_Float m12, + GW_Float m20, GW_Float m21, GW_Float m22 ) + { + aData_[0][0]=m00; aData_[0][1]=m01; aData_[0][2]=m02; + aData_[1][0]=m10; aData_[1][1]=m11; aData_[1][2]=m12; + aData_[2][0]=m20; aData_[2][1]=m21; aData_[2][2]=m22; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::Invert + * + * \param a matrix to invert + * \param r result. + * \author Gabriel Peyré 2001-11-06 + * + * Use of Cramer formula for speed up in dimension 3. + */ + /*------------------------------------------------------------------------------*/ + #define ACCESS(i,j) aData[j*3+i] + #define ACCESS_R(i,j) aResData[j*3+i] + #define SUBDET(i0,j0, i1,j1) ( ACCESS(j0,i0)*ACCESS(j1,i1) - ACCESS(j1,i0)*ACCESS(j0,i1) ) + static void Invert(const GW_Matrix3x3& a, GW_Matrix3x3& r) + { + const GW_Float* aData = a.GetData(); + GW_Float* aResData = r.GetData(); + + /* cofactor */ + GW_Float c00, c01, c02, + c10, c11, c12, + c20, c21, c22; + + c00 = SUBDET(1,1, 2,2); + c01 =-SUBDET(1,0, 2,2); + c02 = SUBDET(1,0, 2,1); + + c10 =-SUBDET(0,1, 2,2); + c11 = SUBDET(0,0, 2,2); + c12 =-SUBDET(0,0, 2,1); + + c20 = SUBDET(0,1, 1,2); + c21 =-SUBDET(0,0, 1,2); + c22 = SUBDET(0,0, 1,1); + + /* compute 3x3 determinant & its reciprocal */ + GW_Float rDet = ACCESS(0,0)*c00 + ACCESS(1,0)*c01 + ACCESS(2,0)*c02; + if (rDet == 0.0f) + { + /* the aData can't be inverted */ + return; + } + + rDet = 1.0f/rDet; + + ACCESS_R(0,0) = c00*rDet; + ACCESS_R(0,1) = c01*rDet; + ACCESS_R(0,2) = c02*rDet; + + ACCESS_R(1,0) = c10*rDet; + ACCESS_R(1,1) = c11*rDet; + ACCESS_R(1,2) = c12*rDet; + + ACCESS_R(2,0) = c20*rDet; + ACCESS_R(2,1) = c21*rDet; + ACCESS_R(2,2) = c22*rDet; + + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::Invert + * + * \return the inverse of the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Matrix3x3 Invert() const + { + GW_Matrix3x3 r; + GW_Matrix3x3::Invert(*this, r); + return r; + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : AutoInvert + * + * \author Gabriel Peyré 2001-11-06 + * + * Invert the matrix. + */ + /*------------------------------------------------------------------------------*/ + void AutoInvert() + { + GW_Matrix3x3 r; + GW_Matrix3x3::Invert(*this, r); + (*this) = r; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::RotateX + * + * \param val rotation angle. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void RotateX(GW_Float val) + { + GW_Float Sin = (GW_Float) sin(val), + Cos = (GW_Float) cos(val); + GW_Vector3D tmp = this->GetY()*Cos + this->GetZ()*Sin; + this->SetZ(-this->GetY()*Sin + this->GetZ()*Cos); + this->SetY(tmp); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::RotateX + * + * \param val rotation angle. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void RotateY(GW_Float val) + { + GW_Float Sin = (GW_Float) sin(val), + Cos = (GW_Float) cos(val); + GW_Vector3D tmp = this->GetX()*Cos + this->GetZ()*Sin; + this->SetZ(-this->GetX()*Sin + this->GetZ()*Cos); + this->SetX(tmp); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::RotateX + * + * \param val rotation angle. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void RotateZ(GW_Float val) + { + GW_Float Sin = (GW_Float) sin(val), + Cos = (GW_Float) cos(val); + GW_Vector3D tmp = this->GetX()*Cos + this->GetY()*Sin; + this->SetY(-this->GetX()*Sin + this->GetY()*Cos); + this->SetX(tmp); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::RotateX + * + * \param val rotation angle. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void Rotate(GW_Coord_XYZW axe, GW_Float val) + { + switch (axe) + { + case X: + this->RotateX(val); + break; + case Y: + this->RotateY(val); + break; + case Z: + this->RotateZ(val); + break; + case W: + break; + }; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::RotateX + * + * \param val rotation angle. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void RotateAbsX(GW_Float val) + { + GW_Float Sin = (GW_Float) sin(val), + Cos = (GW_Float) cos(val); + GW_Float tmp; + for( GW_I32 i=0; i<=2; ++i ) + { + tmp = aData_[i][Y]*Cos-aData_[i][Z]*Sin; + aData_[i][Z] = aData_[i][Y]*Sin+aData_[i][Z]*Cos; + aData_[i][Y] = tmp; + } + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::RotateX + * + * \param val rotation angle. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void RotateAbsY(GW_Float val) + { + GW_Float Sin = (GW_Float) sin(val), + Cos = (GW_Float) cos(val); + GW_Float tmp; + for( GW_I32 i=0; i<=2; ++i ) + { + tmp = aData_[i][X]*Cos + aData_[i][Z]*Sin; + aData_[i][Z] = -aData_[i][X]*Sin + aData_[i][Z]*Cos; + aData_[i][X] = tmp; + } + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::RotateX + * + * \param val rotation angle. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void RotateAbsZ(GW_Float val) + { + GW_Float Sin = (GW_Float) sin(val), + Cos = (GW_Float) cos(val); + GW_Float tmp; + for( GW_I32 i=0; i<=2; ++i ) + { + tmp = aData_[i][X]*Cos - aData_[i][Y]*Sin; + aData_[i][Y] = aData_[i][X]*Sin + aData_[i][Y]*Cos; + aData_[i][X] = tmp; + } + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::RotateX + * + * \param val rotation angle. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void RotateAbs(GW_Coord_XYZW axe, GW_Float val) + { + switch (axe) + { + case X: + this->RotateAbsX(val); + break; + case Y: + this->RotateAbsY(val); + break; + case Z: + this->RotateAbsZ(val); + break; + case W: + break; + }; + } + + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::GetX + * + * \return X vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Vector3D GetX() const + { + return this->GetColumn(X); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::GetY + * + * \return Y vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Vector3D GetY() const + { + return this->GetColumn(Y); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::GetZ + * + * \return Z vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Vector3D GetZ() const + { + return this->GetColumn(Z); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::SetX + * + * \param v X vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void SetX( const GW_Vector3D& v) + { + return this->SetColumn(v,X); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::SetX + * + * \param v Y vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void SetY( const GW_Vector3D& v) + { + return this->SetColumn(v,Y); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::SetZ + * + * \param v Z vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void SetZ( const GW_Vector3D& v) + { + return this->SetColumn(v,Z); + } + + /** solve the linear system A*x=b */ + void Solve( GW_Vector3D& x, const GW_Vector3D& b ) const + { + GW_Matrix3x3 M = this->Invert(); + x = M*b; + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_Matrix3x3", s); + cout << "Test for matrix inversion : " << endl; + GW_Matrix3x3 M; + M.Randomize(); + cout << "Matrix M = " << M << endl; + GW_Matrix3x3 MM = M.Invert(); + cout << "Matrix M^-1 = " << MM << endl; + GW_Float err = (M*MM - GW_Matrix3x3()).Norm2(); + cout << "|| MM^-1 - ID ||_2 = " << err << endl; + GW_ASSERT( err +{ + +public: + + GW_Matrix4x4(): GW_MatrixStatic<4,4,GW_Float>() {} + GW_Matrix4x4(const GW_MatrixStatic<4,4,GW_Float>& m): GW_MatrixStatic<4,4,GW_Float>(m) {} + + GW_Matrix4x4( GW_Float m00, GW_Float m01, GW_Float m02, GW_Float m03, + GW_Float m10, GW_Float m11, GW_Float m12, GW_Float m13, + GW_Float m20, GW_Float m21, GW_Float m22, GW_Float m23, + GW_Float m30, GW_Float m31, GW_Float m32, GW_Float m33 ) + { + aData_[0][0]=m00; aData_[0][1]=m01; aData_[0][2]=m02; aData_[0][3]=m03; + aData_[1][0]=m10; aData_[1][1]=m11; aData_[1][2]=m12; aData_[1][3]=m13; + aData_[2][0]=m20; aData_[2][1]=m21; aData_[2][2]=m22; aData_[2][3]=m23; + aData_[3][0]=m30; aData_[3][1]=m31; aData_[3][2]=m32; aData_[3][3]=m33; + } + + void SetData( GW_Float m00, GW_Float m01, GW_Float m02, GW_Float m03, + GW_Float m10, GW_Float m11, GW_Float m12, GW_Float m13, + GW_Float m20, GW_Float m21, GW_Float m22, GW_Float m23, + GW_Float m30, GW_Float m31, GW_Float m32, GW_Float m33 ) + { + aData_[0][0]=m00; aData_[0][1]=m01; aData_[0][2]=m02; aData_[0][3]=m03; + aData_[1][0]=m10; aData_[1][1]=m11; aData_[1][2]=m12; aData_[1][3]=m13; + aData_[2][0]=m20; aData_[2][1]=m21; aData_[2][2]=m22; aData_[2][3]=m23; + aData_[3][0]=m30; aData_[3][1]=m31; aData_[3][2]=m32; aData_[3][3]=m33; + } + + void SetData( GW_U32 i, GW_U32 j, GW_Float r ) + { + GW_ASSERT( i<4 && j<4 ); + aData_[i][j] = r; + } + + /** Invert, assuming the matrix is *ORTHOGONAL* */ + void AutoOrthoInvert() + { + GW_Matrix4x4 r; + OrthoInvert(*this, r); + (*this) = r; + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : OrthoInvert + * + * \return The inverse of an orthogonal matrix. + * \author Gabriel Peyré 2001-08-04 + * + * Compute the inverse the matrix, assuming that it's an orthogonal matrix. + */ + /*------------------------------------------------------------------------------*/ + static void OrthoInvert(const GW_Matrix4x4& a, GW_Matrix4x4& r) + { + /* the inverse translation : -A^(-1)*t + +--------+ +--+ + |00 01 02| |30| + -|10 11 12|*|31| + |20 21 22| |32| + +--------+ +--+ + */ + GW_Float t0=a.aData_[0][0]*a.aData_[3][0]+a.aData_[0][1]*a.aData_[3][1]+a.aData_[0][2]*a.aData_[3][2]; + GW_Float t1=a.aData_[1][0]*a.aData_[3][0]+a.aData_[1][1]*a.aData_[3][1]+a.aData_[1][2]*a.aData_[3][2]; + GW_Float t2=a.aData_[2][0]*a.aData_[3][0]+a.aData_[2][1]*a.aData_[3][1]+a.aData_[2][2]*a.aData_[3][2]; + /* the matrix is supposed to be orthogonal !!!!! */ + r.SetData( + a.aData_[0][0], a.aData_[0][1], a.aData_[0][2], -t0, + a.aData_[1][0], a.aData_[1][1], a.aData_[1][2], -t1, + a.aData_[2][0], a.aData_[2][1], a.aData_[2][2], -t2, + a.aData_[0][3], a.aData_[1][3], a.aData_[2][3], a.aData_[3][3]); + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix4x4::TransformOnZ + * + * \param x X component of the orginal vector. + * \param y Y component of the orginal vector. + * \param z Z component of the orginal vector. + * \return The X coordinate of the oringal vector tranformed by the matrix. + * \author Gabriel Peyré 2001-10-30 + * + * This speed up computation when you only needs depth information (used by + * the alpha pipeline). + */ + /*------------------------------------------------------------------------------*/ + GW_Float TransformOnZ(GW_Float x, GW_Float y, GW_Float z) + { + return aData_[0][2]*x + aData_[1][2]*y + aData_[2][2]*z + aData_[3][2]; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix4x4::TransformOnZ + * + * \param v the orginal vector. + * \return The X coordinate of the oringal vector tranformed by the matrix. + * \author Gabriel Peyré 2001-10-30 + * + * This speed up computation when you only needs depth information (used by + * the alpha pipeline). + */ + /*------------------------------------------------------------------------------*/ + GW_Float TransformOnZ(GW_Vector3D& v) + { + return aData_[0][2]*v[X] + aData_[1][2]*v[Y] + aData_[2][2]*v[Z] + aData_[3][2]; + } + + void RotateX(GW_Float val) + { + GW_Float Sin=(GW_Float) sin(val), + Cos=(GW_Float) cos(val); + GW_Vector3D tmp=GetY()*Cos+GetZ()*Sin; + SetZ(-GetY()*Sin+GetZ()*Cos); + SetY(tmp); + } + + void RotateY(GW_Float val) + { + GW_Float Sin=(GW_Float) sin(val), + Cos=(GW_Float) cos(val); + GW_Vector3D tmp=GetX()*Cos+GetZ()*Sin; + SetZ(-GetX()*Sin+GetZ()*Cos); + SetX(tmp); + } + + void RotateZ(GW_Float val) + { + GW_Float Sin=(GW_Float) sin(val), + Cos=(GW_Float) cos(val); + GW_Vector3D tmp=GetX()*Cos+GetY()*Sin; + SetY(-GetX()*Sin+GetY()*Cos); + SetX(tmp); + } + + void Rotate(GW_U32 axe, GW_Float val) + { + switch (axe) + { + case X: + RotateX(val); + break; + case Y: + RotateY(val); + break; + case Z: + RotateZ(val); + break; + case W: + break; + }; + } + + void RotateAbsX(GW_Float val) + { + GW_Float Sin=(GW_Float) sin(val), + Cos=(GW_Float) cos(val); + GW_Float tmp; + for (GW_I32 i=0; i<=2; i++) + { + tmp=aData_[i][Y]*Cos-aData_[i][Z]*Sin; + aData_[i][Z]=aData_[i][Y]*Sin+aData_[i][Z]*Cos; + aData_[i][Y]=tmp; + } + } + + void RotateAbsY(GW_Float val) + { + GW_Float Sin=(GW_Float) sin(val), + Cos=(GW_Float) cos(val); + GW_Float tmp; + for (GW_I32 i=0; i<=2; i++) + { + tmp=aData_[i][X]*Cos+aData_[i][Z]*Sin; + aData_[i][Z]=-aData_[i][X]*Sin+aData_[i][Z]*Cos; + aData_[i][X]=tmp; + } + } + + void RotateAbsZ(GW_Float val) + { + GW_Float Sin=(GW_Float) sin(val), + Cos=(GW_Float) cos(val); + GW_Float tmp; + for (GW_I32 i=0; i<=2; i++) + { + tmp=aData_[i][X]*Cos-aData_[i][Y]*Sin; + aData_[i][Y]=aData_[i][X]*Sin+aData_[i][Y]*Cos; + aData_[i][X]=tmp; + } + } + + void RotateAbs(GW_U32 axe, GW_Float val) + { + switch (axe) + { + case X: + RotateAbsX(val); + break; + case Y: + RotateAbsY(val); + break; + case Z: + RotateAbsZ(val); + break; + case W: + break; + }; + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix4x4::GetRotation + * + * \return The rotation part of the matrix. + * \author Gabriel Peyré 2001-08-04 + * + * Compute a matrix without the translation (last column). + */ + /*------------------------------------------------------------------------------*/ + GW_Matrix3x3 GetRotation() + { + GW_Matrix3x3 M( this->GetData(0,0), this->GetData(0,1), this->GetData(0,2), + this->GetData(1,0), this->GetData(1,1), this->GetData(1,2), + this->GetData(2,0), this->GetData(2,1), this->GetData(2,2) ); + return M; + } + + //----------------------------------------------------------------------------- + // Name: GW_Matrix4x4::GetCoords + /** + * @return a pointer on the datas of the matrix + */ + /// \author Gabriel Peyré 2001-08-30 + //----------------------------------------------------------------------------- + GW_Float* GetCoords() const + { + return (GW_Float*) aData_; + } + + + //----------------------------------------------------------------------------- + // Name: GW_Matrix4x4::SetCoords + /** + * Set the different elements of the matrix. + */ + /// \author Gabriel Peyré 2001-08-31 + //----------------------------------------------------------------------------- + void SetCoords( + GW_Float m00, GW_Float m10, GW_Float m20, GW_Float m30, + GW_Float m01, GW_Float m11, GW_Float m21, GW_Float m31, + GW_Float m02, GW_Float m12, GW_Float m22, GW_Float m32, + GW_Float m03, GW_Float m13, GW_Float m23, GW_Float m33) + { + aData_[0][0]=m00; aData_[0][1]=m01; aData_[0][2]=m02; aData_[0][3]=m03; + aData_[1][0]=m10; aData_[1][1]=m11; aData_[1][2]=m12; aData_[1][3]=m13; + aData_[2][0]=m20; aData_[2][1]=m21; aData_[2][2]=m22; aData_[2][3]=m23; + aData_[3][0]=m30; aData_[3][1]=m31; aData_[3][2]=m32; aData_[3][3]=m33; + } + void AutoScaleTranslation(GW_Float v) + { + aData_[3][0] *= v; + aData_[3][1] *= v; + aData_[3][2] *= v; + } + + void UnScale() + { + GW_Float l = ::sqrt(aData_[0][0]*aData_[0][0] + aData_[0][1]*aData_[0][1] + aData_[0][2]*aData_[0][2] ); + if( l!=0 ) + { + aData_[0][0] /= l; + aData_[0][1] /= l; + aData_[0][2] /= l; + } + l = ::sqrt(aData_[1][0]*aData_[1][0] + aData_[1][1]*aData_[1][1] + aData_[1][2]*aData_[1][2] ); + if( l!=0 ) + { + aData_[1][0] /= l; + aData_[1][1] /= l; + aData_[1][2] /= l; + } + l = ::sqrt(aData_[2][0]*aData_[2][0] + aData_[2][1]*aData_[2][1] + aData_[2][2]*aData_[2][2] ); + if( l!=0 ) + { + aData_[2][0] /= l; + aData_[2][1] /= l; + aData_[2][2] /= l; + } + + } + + /* scale operations **************************************************/ + void AutoScale( const GW_Vector3D& v) + { + for(GW_U32 i=0; i<3; ++i) + for(GW_U32 j=0; j<4; ++j) + aData_[i][j] *= v[i]; + } + void AutoScale( GW_U32 axe, GW_Float v ) + { + for(GW_U32 i=0; i<4; ++i) + aData_[axe][i] *= v; + } + + + GW_Matrix4x4 operator +( const GW_Vector3D& v ) + { + GW_Matrix4x4 r = *this; + r.aData_[3][0] += v[0]; + r.aData_[3][2] += v[1]; + r.aData_[3][1] += v[2]; + } + void operator +=( const GW_Vector3D& v ) + { + aData_[3][0] += v[0]; + aData_[3][2] += v[1]; + aData_[3][1] += v[2]; + } + /* translation by a vector */ + void Translate( const GW_Vector3D& v) + { + (*this) += v; + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix4x4::SetScale + * + * \param rScale the new scale value. + * \author Gabriel Peyré 2001-10-23 + */ + /*------------------------------------------------------------------------------*/ + void SetScale(GW_Float rScale) + { + GW_ASSERT( rScale>GW_EPSILON ); + aData_[3][3] = rScale; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix4x4::GetScale + * + * \return The scale factors + * \author Antoine Bouthors 2002-09-03 + * + */ + /*------------------------------------------------------------------------------*/ + GW_Vector3D GetScale() const + { + return GW_Vector3D( aData_[X][X], aData_[Y][Y], aData_[Z][Z] ); + } + + + void Translate(GW_U32 axe, GW_Float v) + { + aData_[3][axe]+=v; + } + + GW_Vector3D GetX() const + { + return GW_Vector3D((GW_Float*) aData_[X]); + } + + GW_Vector3D GetY() const + { + return GW_Vector3D((GW_Float*) aData_[Y]); + } + + GW_Vector3D GetZ() const + { + return GW_Vector3D((GW_Float*) aData_[Z]); + } + + void SetX( const GW_Vector3D& v) + { + aData_[0][0]=v[0]; + aData_[0][1]=v[1]; + aData_[0][2]=v[2]; + } + + void SetY( const GW_Vector3D& v) + { + aData_[1][0]=v[0]; + aData_[1][1]=v[1]; + aData_[1][2]=v[2]; + } + + void SetZ( const GW_Vector3D& v) + { + aData_[2][0]=v[0]; + aData_[2][1]=v[1]; + aData_[2][2]=v[2]; + } + + void SetTranslation( const GW_Vector3D& v) + { + aData_[3][X] = v[X]; + aData_[3][Y] = v[Y]; + aData_[3][Z] = v[Z]; + } + + void SetTranslation(GW_Coord_XYZW axe, GW_Float v) + { + aData_[3][axe]=v; + } + + void SetScale( const GW_Vector3D& v) + { + aData_[X][X] = v[X]; + aData_[Y][Y] = v[Y]; + aData_[Z][Z] = v[Z]; + } + + void SetScale(GW_Coord_XYZW axe, GW_Float v) + { + aData_[axe][axe]=v; + } + + void SetRotation( const GW_Matrix3x3& m) + { + for( GW_U32 i=0; i<3; ++i ) + for( GW_U32 j=0; j<3; ++j ) + this->SetData(i,j, m.GetData(i,j) ); + } + + GW_Vector3D GetTranslation() + { + return GW_Vector3D(aData_[3][0], aData_[3][1], aData_[3][2]); + } + + GW_Float* GetTranslationPtr() + { + return aData_[3]; + } + + void ReComputeBasis_GivenX( GW_Vector3D v) + { + /* re-nGWm v */ + v.Normalize(); + SetX(v); + /* re-compute a basis */ + GW_Vector3D axe_z=v^GetY(); + GW_Float n=~(axe_z); + if (nInvert(); + GW_MatrixStatic<4,4,GW_Float>::Multiply( M, b, x ); + } + + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix4x4::* + * + * \return The product of the matrix by a vectGW. + * \param v The result of the product. + * \author Gabriel Peyré 2001-08-04 + */ + /*------------------------------------------------------------------------------*/ + GW_Vector3D operator*( const GW_Vector3D& v) + { + return GW_Vector3D( + aData_[0][0]*v[0]+aData_[1][0]*v[1]+aData_[2][0]*v[2]+aData_[3][0], + aData_[0][1]*v[0]+aData_[1][1]*v[1]+aData_[2][1]*v[2]+aData_[3][1], + aData_[0][2]*v[0]+aData_[1][2]*v[1]+aData_[2][2]*v[2]+aData_[3][2]); + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_Matrix4x4", s); + cout << "Test for matrix inversion : " << endl; + GW_Matrix4x4 M; + M.Randomize(); + cout << "Matrix M = " << M << endl; + GW_Matrix4x4 MM = M.Invert(); + cout << "Matrix M^-1 = " << MM << endl; + GW_Float err = (M*MM - GW_Matrix4x4()).Norm2(); + cout << "|| MM^-1 - ID ||_2 = " << err << endl; + GW_ASSERT( err GW_TNTArray2D; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_MatrixNxP + * \brief A matrix of arbitrary size. + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Use \b TNT library. + */ +/*------------------------------------------------------------------------------*/ + +class GW_MatrixNxP: public GW_TNTArray2D +{ + +public: + + GW_MatrixNxP() :GW_TNTArray2D(){} + GW_MatrixNxP(GW_U32 m, GW_U32 n) :GW_TNTArray2D((int) m,(int) n){} + GW_MatrixNxP(GW_U32 m, GW_U32 n, GW_Float *a) :GW_TNTArray2D((int) m,(int) n,a){} + GW_MatrixNxP(GW_U32 m, GW_U32 n, const GW_Float &a) :GW_TNTArray2D((int) m,(int) n,a){} + GW_MatrixNxP(const GW_MatrixNxP &A) :GW_TNTArray2D(A){} + + void Reset( GW_U32 i, GW_U32 j ) + { + ((GW_TNTArray2D&) (*this)) = GW_TNTArray2D((int) i, (int) j); + } + + GW_U32 GetNbrRows() const { return this->dim1(); } + GW_U32 GetNbrCols() const { return this->dim2(); } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::GetData + * + * \param i row number + * \param j col number + * \return value of the (i,j) data. + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + GW_Float GW_MatrixNxP::GetData(GW_U32 i, GW_U32 j) const + { + GW_ASSERT( iGetNbrRows() && jGetNbrCols() ); + return (*this)[i][j]; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::SetData + * + * \param i row number + * \param j col number + * \param rVal value + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::SetData(GW_U32 i, GW_U32 j, GW_Float rVal) + { + GW_ASSERT( iGetNbrRows() && jGetNbrCols() ); + (*this)[i][j] = rVal; + } + + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::operator * + * + * \param m right hand side + * \return multiplication this*m + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + GW_MatrixNxP GW_MatrixNxP::operator*(const GW_MatrixNxP& m) + { + GW_ASSERT( this->GetNbrCols() == m.GetNbrRows() ); + GW_MatrixNxP Res( this->GetNbrRows(), m.GetNbrCols() ); + GW_MatrixNxP::Multiply( *this, m, Res ); + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::Multiply + * + * \param a right side + * \param b left side + * \param r result + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + static void GW_MatrixNxP::Multiply(const GW_MatrixNxP& a, const GW_MatrixNxP& b, GW_MatrixNxP& r) + { + GW_ASSERT( a.GetNbrCols() == b.GetNbrRows() ); + GW_ASSERT( r.GetNbrRows() == a.GetNbrRows() ); + GW_ASSERT( r.GetNbrCols() == b.GetNbrCols() ); + + GW_Float rVal; + + for( GW_U32 i=0; iGetNbrRows(), this->GetNbrCols() ); + GW_MatrixNxP::Multiply( *this, m, Tmp ); + (*this) = Tmp; + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::GW_MatrixNxP operator* + /** + * \param s [GW_Float] scalar. + * \author Gabriel Peyré + * \date 6-1-2003 + * + * Matrix times scalar operator. + */ + /*------------------------------------------------------------------------------*/ + GW_MatrixNxP GW_MatrixNxP::operator*(GW_Float s) + { + GW_MatrixNxP m( this->GetNbrRows(), this->GetNbrCols() ); + GW_MatrixNxP::Multiply(*this, s, m); + return m; + } + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::Multiply + /** + * \param a [GW_MatrixNxP&] The matrix. + * \param s [GW_Float] The scalar. + * \param r [GW_MatrixNxP&] The result. + * \author Gabriel Peyré + * \date 6-1-2003 + * + * Matrix times scalar. + */ + /*------------------------------------------------------------------------------*/ + static void GW_MatrixNxP::Multiply(const GW_MatrixNxP& a, const GW_Float s, GW_MatrixNxP& r) + { + GW_ASSERT( a.GetNbrCols()==r.GetNbrCols() && r.GetNbrRows()==r.GetNbrRows() ); + + for( GW_U32 i=0; iGetNbrRows(), this->GetNbrCols() ); + GW_MatrixNxP::Divide(*this, s, m); + return m; + } + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::Divide + /** + * \param a [GW_MatrixNxP&] The matrix. + * \param s [GW_Float] The scalar. + * \param r [GW_MatrixNxP&] The result. + * \author Gabriel Peyré + * \date 6-1-2003 + * + * Matrix divided by scalar. + */ + /*------------------------------------------------------------------------------*/ + static void GW_MatrixNxP::Divide(const GW_MatrixNxP& a, const GW_Float s, GW_MatrixNxP& r) + { + if( s==0 ) + return; + GW_ASSERT( a.GetNbrCols()==r.GetNbrCols() && r.GetNbrRows()==r.GetNbrRows() ); + + for( GW_U32 i=0; iGetNbrRows() ); + GW_MatrixNxP::Multiply( *this, v, Res ); + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::Multiply + * + * \param a left hand statement. + * \param v Right hand statement. + * \param r Result. + * \author Gabriel Peyré 2001-09-30 + * + * Multiply the vector by the matrix. + */ + /*------------------------------------------------------------------------------*/ + static void GW_MatrixNxP::Multiply(const GW_MatrixNxP& a, const GW_VectorND& v, GW_VectorND& r) + { + GW_ASSERT( a.GetNbrRows() == r.GetDim() ); + GW_ASSERT( a.GetNbrCols() == v.GetDim() ); + + GW_Float rVal; + + for( GW_U32 i=0; iGetNbrCols(), this->GetNbrRows() ); + GW_MatrixNxP::Transpose( *this, Res ); + + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::Transpose + * + * \param a Right side + * \param r Result + * \return Transposed matrix. + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::Transpose(const GW_MatrixNxP& a, GW_MatrixNxP& r) + { + GW_ASSERT( a.GetNbrCols()==r.GetNbrRows() && r.GetNbrCols()==r.GetNbrRows() ); + + for( GW_U32 i=0; iGetNbrRows(), this->GetNbrCols() ); + GW_MatrixNxP::Add( *this, m, Res ); + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::Add + * + * \param a left hand side + * \param b right hand side + * \param r result = a+b + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::Add(const GW_MatrixNxP& a, const GW_MatrixNxP& b, GW_MatrixNxP& r) + { + GW_ASSERT( a.GetNbrCols()==b.GetNbrCols() && a.GetNbrRows()==b.GetNbrRows() ); + GW_ASSERT( a.GetNbrCols()==r.GetNbrCols() && a.GetNbrRows()==r.GetNbrRows() ); + + for( GW_U32 i=0; iGetNbrRows(), this->GetNbrCols() ); + GW_MatrixNxP::Minus( *this, m, Res ); + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::Minus + * + * \param a left hand side + * \param b right hand side + * \param r result = a-b + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::Minus(const GW_MatrixNxP& a, const GW_MatrixNxP& b, GW_MatrixNxP& r) + { + GW_ASSERT( a.GetNbrCols()==b.GetNbrCols() && a.GetNbrRows()==b.GetNbrRows() ); + GW_ASSERT( a.GetNbrCols()==r.GetNbrCols() && a.GetNbrRows()==r.GetNbrRows() ); + + for( GW_U32 i=0; iGetNbrRows(), this->GetNbrCols() ); + GW_MatrixNxP::UMinus( *this, Res ); + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::UMinus + * + * \param a right side + * \param r result + * \author Gabriel Peyré 2001-09-19 + * + * unary minus. + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::UMinus(const GW_MatrixNxP& a, GW_MatrixNxP& r) + { + GW_ASSERT( a.GetNbrCols()==r.GetNbrCols() && a.GetNbrRows()==r.GetNbrRows() ); + + for( GW_U32 i=0; iGetNbrRows(), this->GetNbrCols() ); + GW_MatrixNxP::Add( *this, m, Tmp ); + (*this) = Tmp; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::-=(const + * + * \param m right side + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::operator-=(const GW_MatrixNxP & m) + { + GW_MatrixNxP Tmp( this->GetNbrRows(), this->GetNbrCols() ); + GW_MatrixNxP::Minus( *this, m, Tmp ); + (*this) = Tmp; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::SetZero + * + * \return set all component of the matrix to zero. + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::SetZero() + { + this->SetValue(0); + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::SetValue + * + * \param rVal value to set. + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::SetValue(GW_Float rVal) + { + GW_ASSERT( this->GetNbrCols()>0 && this-GetNbrRows()>0 ); + for( GW_U32 i=0; iGetNbrRows(); ++i ) + for( GW_U32 j=0; jGetNbrCols(); ++j ) + this->SetData( i, j, rVal ); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::Randomize + * + * \param rMin minimum value + * \param rMax maximum value + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::Randomize(GW_Float rMin = 0, GW_Float rMax = 1) + { + GW_ASSERT( this->GetNbrRows()>0 && this->GetNbrCols()>0 ); + for( GW_U32 i=0; iGetNbrRows(); ++i ) + for( GW_U32 j=0; jGetNbrCols(); ++j ) + this->SetData( i, j, rMin + GW_RAND*(rMax-rMin) ); + } + + + + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::LU + /** + * \param L [GW_MatrixNxP&] The \c L matrix. + * \param U [GW_MatrixNxP&] The \c U matrix. + * \param P [GW_VectorND&] Permutations of the columns. + * \return [GW_Float] Determinant. + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Perform an LU decomposition of the matrix. + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::LU( GW_MatrixNxP& L, GW_MatrixNxP& U, GW_VectorND& P ) + { + JAMA::LU lu( *this ); + U = (GW_MatrixNxP&) lu.getU(); + L = (GW_MatrixNxP&) lu.getL(); + P = (GW_VectorND&) lu.getPivot(); + } + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::LUSolve + /** + * \param x [GW_VectorND&] Solution. + * \param b [GW_VectorND&] RHS + * \return [GW_Bool] Is the system inversible ? + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Solve a linear system Ax=b with LU decomposition. + */ + /*------------------------------------------------------------------------------*/ + GW_Bool GW_MatrixNxP::LUSolve( GW_VectorND& x, const GW_VectorND& b ) + { + JAMA::LU lu( *this ); + if( lu.isNonsingular() ) + { + x = (GW_VectorND&) lu.solve(b); + return x.dim()!=0; + } + else + return GW_False; + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::Cholesky + /** + * \param L [GW_MatrixNxP&] The result, lower triangular matrix. + * \return [GW_Bool] \c true if the decomposition was a success, \c false if the matrix is not + * symmetric definite positive. + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Perform the Cholesky decomposition of the matrix M =AA^* + */ + /*------------------------------------------------------------------------------*/ + GW_Bool GW_MatrixNxP::Cholesky( GW_MatrixNxP& L ) + { + JAMA::Cholesky chol( *this ); + + L = (GW_MatrixNxP&) chol.getL(); + + return chol.is_spd()==1; + } + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::CholeskySolve + /** + * \param x [GW_VectorND&] Solution. + * \param b [GW_VectorND&] RHS. + * \return [GW_Bool] Was the inversion a success ? + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Solve using Cholesky. + */ + /*------------------------------------------------------------------------------*/ + GW_Bool GW_MatrixNxP::CholeskySolve( GW_VectorND& x, const GW_VectorND& b ) + { + JAMA::Cholesky chol( *this ); + if( chol.is_spd() ) + { + x = (GW_VectorND&) chol.solve( b ); + return x.dim()!=0; + } + else + return GW_False; + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::QR + /** + * \param Q [GW_MatrixNxP&] The Q matrix. + * \param R [GW_MatrixNxP&] The R matrix. + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Perform QR decomposition. + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::QR( GW_MatrixNxP& Q, GW_MatrixNxP& R ) + { + JAMA::QR qr( *this ); + Q = (GW_MatrixNxP&) qr.getQ(); + R = (GW_MatrixNxP&) qr.getR(); + } + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::QRSolve + /** + * \param x [GW_VectorND&] solution. + * \param b [GW_VectorND&] RHS. + * \return [GW_Bool] Was the process sucessful ? + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Solve a linear system using QR decomposition. + */ + /*------------------------------------------------------------------------------*/ + GW_Bool GW_MatrixNxP::QRSolve( GW_VectorND& x, const GW_VectorND& b ) + { + JAMA::QR qr( *this ); + if( !qr.isFullRank() ) + return GW_False; + else + { + x = (GW_VectorND&) qr.solve(b); + return x.dim()!=0; + } + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::Eigenvalue + /** + * \param V [GW_MatrixNxP&] The change of basis matrix. + * \param pD [GW_MatrixNxP*] A block diagonal matrix (diagonal if eigenvalues are real). + * \param pRealEig [GW_VectorND*] The real part of the eigenvalues. + * \param pImagEig [GW_VectorND*] The imaginary part of the eigenvalues. + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Perform eigen-decomposition A = V D V^*. + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::Eigenvalue( GW_MatrixNxP& V, GW_MatrixNxP* pD, GW_VectorND* pRealEig, GW_VectorND* pImagEig ) + { + JAMA::Eigenvalue eig( *this ); + eig.getV(V); + if( pD!=NULL ) + eig.getD(*pD); + if( pRealEig!=NULL ) + eig.getRealEigenvalues(*pRealEig); + if( pImagEig!=NULL ) + eig.getImagEigenvalues(*pImagEig); + } + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::SVD + /** + * \param U [GW_MatrixNxP&] U orthogonal matrix + * \param V [GW_MatrixNxP&] the right singular vectors. + * \param pSingV [GW_VectorND*] The singular values. + * \param pS [GW_MatrixNxP*] Diagonal matrix of singular values. + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Compute SVD decomposition, ie A + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::SVD( GW_MatrixNxP& U, GW_MatrixNxP& V, GW_VectorND* pSingV, GW_MatrixNxP* pS ) + { + JAMA::SVD svd( *this ); + svd.getU( U ); + svd.getV( V ); + if( pSingV!=NULL ) + svd.getSingularValues( *pSingV ); + if( pS!=NULL ) + svd.getS( *pS ); + } + + + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::TestClass + /** + * \author Gabriel Peyré + * \date 6-1-2003 + * + * Test the class. + */ + /*------------------------------------------------------------------------------*/ + static void GW_MatrixNxP::TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_MatrixNxP", s); + const GW_U32 n = 50; + + GW_MatrixNxP m(n,n); + m.Randomize(); + + GW_VectorND v(n), x(n), b(n); + v.Randomize(); + b.Randomize(); + + m.LUSolve( x, b ); + GW_Float err = ( m*x-b ).Norm2(); + GW_ASSERT( err > +class GW_MatrixStatic +{ + + /** Traits parameterization of the class. */ + typedef traits traits_type; + double Epsilon() + { return traits_type::Epsilon(); } + + /** To iterate some code on the data. */ + #define ITERATE(i,j, code ) \ + for(GW_U32 i=0; iLoadIdentity(); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic constructor + * + * \param m original matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_MatrixStatic(const GW_MatrixStatic& m) + { + memcpy(aData_, m.GetData(), this->GetMemorySize() ); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : copy operator + * + * \param m original matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_MatrixStatic& operator = (const GW_MatrixStatic &m) + { + memcpy(aData_, m.GetData(), this->GetMemorySize() ); + return *this; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic destructor + * + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + virtual ~GW_MatrixStatic() + { + /* NOTHING */ + } + + static GW_U32 GetMemorySize() + { + return r_size*c_size*sizeof(v_type); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Multiply + * + * \param a right hand matrix. + * \return vector transformed by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_VectorStatic operator*(const GW_VectorStatic& v) const + { + GW_VectorStatic r; + GW_MatrixStatic::Multiply( *this, v, r ); + return r; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Multiply + * + * \param a right hand matrix. + * \param v left hand vector. + * \param r vector transformed by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + static void Multiply(const GW_MatrixStatic& a, const GW_VectorStatic& v, GW_VectorStatic& r) + { + v_type rTemp =0; + for(GW_U32 i=0; i& a, GW_MatrixStatic& r) + { + ITERATE(i,j, r.SetData(i,j, a.GetData(i,j)*rScale); ); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::AutoScale + * + * \param rFactor scaling factor. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void AutoScale(v_type rFactor) + { + GW_MatrixStatic::Scale( rFactor, *this, *this ); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::operator* + * + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_MatrixStatic operator*(v_type v) const + { + GW_MatrixStatic r; + GW_MatrixStatic::Scale( v, *this, r ); + return r; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Scale + * + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_MatrixStatic operator/(v_type v) const + { + GW_ASSERT(v!=0); + if( v==0 ) + return; + GW_MatrixStatic r; + GW_MatrixStatic::Scale( 1/v, *this, r ); + return r; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Scale + * + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void operator*=(v_type v) + { + GW_MatrixStatic::Scale( v, *this, *this ); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Scale + * + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void operator/=(v_type v) + { + GW_ASSERT( v!=0 ); + if( v==0 ) + return; + GW_MatrixStatic::Scale( 1/v, *this, *this ); + } + + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Invert + * + * \param a matrix to invert + * \param r result. + * \author Gabriel Peyré 2001-11-06 + * + * Use the LU factorisation to solve the system. + */ + /*------------------------------------------------------------------------------*/ + static void Invert(const GW_MatrixStatic& a, GW_MatrixStatic& r) + { + GW_ASSERT( c_size==r_size ); + GW_MatrixNxP M(c_size,c_size); + GW_Maths::Convert( M, a ); + GW_VectorND b(c_size); + GW_VectorND x(c_size); + GW_VectorStatic xstatic; + for( GW_U32 i=0; iSetData( r.GetData() ); + } + + + /** Solve the linear system A*x=b */ + void Solve( GW_VectorStatic& x, const GW_VectorStatic& b ) const + { + GW_MatrixNxP M(c_size,r_size); + GW_Maths::Convert( M, *this ); + GW_VectorND bdynamic(c_size); + GW_Maths::Convert( bdynamic, b ); + GW_VectorND xdynamic(c_size); + + M.LUSolve( xdynamic, bdynamic ); + + GW_Maths::Convert(x, xdynamic); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Transpose + * + * \param a original matrix. + * \param r result. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + static void Transpose(const GW_MatrixStatic& a, GW_MatrixStatic& r) + { + ITERATE(i,j, r.SetData(j,i, a.GetData(i,j)); ) + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::AutoTranspose + * + * \author Gabriel Peyré 2001-11-06 + * + * Transpose the matrix. Must be square ! + */ + /*------------------------------------------------------------------------------*/ + void AutoTranspose() + { + GW_ASSERT( r_size==c_size ); + GW_MatrixStatic r; + GW_MatrixStatic::Transpose(*this, r); + (*this) = r; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Transpose + * + * \return transoped matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_MatrixStatic Transpose() const + { + GW_MatrixStatic r; + GW_MatrixStatic::Transpose(*this, r); + return r; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::GetData + * + * \return the data of the matrix (v_type[c_size*r_size]). + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + const v_type* GetData() const + { + return (v_type*) aData_; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::GetData + * + * \return the data of the matrix (v_type[c_size*r_size]). + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + v_type* GetData() + { + return (v_type*) aData_; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::GetData + * + * \param i row number. + * \param j col number. + * \return value of the matrix at place (i,j) + * \author Gabriel Peyré 2001-11-06 + * + * Get an element of the matrix. + */ + /*------------------------------------------------------------------------------*/ + v_type GetData(GW_I32 i, GW_I32 j) const + { + GW_ASSERT(iGetMemorySize() ); + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::GetRow + * + * \return Row vector of the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_VectorStatic GetRow( GW_U32 i ) const + { + GW_ASSERT(i v; + for( GW_U32 j=0; jGetData(i,j); + return v; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::GetColumn + * + * \return Column vector of the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_VectorStatic GetColumn( GW_U32 j ) const + { + GW_ASSERT( j v; + for( GW_U32 i=0; iGetData(i,j); + return v; + } + + /** access a row in raw format, use it at your own risk (i.e. M[i][j]) */ + v_type* operator[](GW_U32 i) + { + GW_ASSERT( i& v, GW_U32 i ) + { + GW_ASSERT( iSetData(i,j, v[j]); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::SetColumn + * + * \param v A column of the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void SetColumn( const GW_VectorStatic& v, GW_U32 j ) + { + GW_ASSERT( jSetData(i,j, v[i]); + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::SetZero + * + * \author Gabriel Peyré 2001-11-06 + * + * Set all data to zero. + */ + /*------------------------------------------------------------------------------*/ + void SetZero() + { + memset( aData_, 0, this->GetMemorySize() ); + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::LoadIdentity + * + * \author Gabriel Peyré 2001-11-06 + * + * Set the matrix to the identity. + */ + /*------------------------------------------------------------------------------*/ + void LoadIdentity() + { + ITERATE(i,j, + if( i==j ) aData_[i][j]=1; + else aData_[i][j]=0; + ) + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::SetValue + * + * \param rVal value to set to the whole matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void SetValue(v_type rVal) + { + memset( aData_, rVal, this->GetMemorySize() ); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Randomize + * + * \param rMin minimum value + * \param rMax maximum value + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void Randomize(v_type rMin=0, v_type rMax=1) + { + ITERATE(i,j, this->SetData( i, j, traits::Random( rMin, rMax) ); ); + } + + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Norm1 + * + * \return pseuo-norm 1 of the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Float Norm1() + { + GW_Float rNorm = 0; + ITERATE(i,j, rNorm+=traits_type::Modulus(this->GetData(i,j)); ) + return rNorm/(r_size*c_size); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Norm2 + * + * \return pseuo-norm 2 of the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Float Norm2() + { + GW_Float rNorm = 0; + ITERATE(i,j, rNorm+=traits_type::SquareModulus(this->GetData(i,j)); ) + return sqrt( rNorm )/(r_size*c_size); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::NormInf + * + * \return pseudo-infinite norm of the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Float NormInf() + { + GW_Float rNorm = 0; + ITERATE(i,j, + if( traits_type::Modulus(this->GetData(i,j)) >rNorm) + rNorm=traits_type::Modulus(this->GetData(i,j)); + ) + return rNorm; + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_MatrixStatic", s); + GW_MatrixStatic<3,5,GW_Float> M; + M.Randomize(); + + s << "Test for creation : " << endl; + s << M << endl; + + s << "Test for transposition : " << endl; + GW_MatrixStatic<5,3,GW_Float> TM; + TM = M.Transpose(); + s << TM << endl; + + s << "Test for multiplication : " << endl; + s << "M^T*M : " << TM*M << endl; + s << "M*M^T : " << M*TM << endl; + + s << "The rows of the matrix : " << endl; + for( GW_U32 i=0; i<3; ++i ) + cout << M.GetRow(i) << endl; + + s << "The columns of the matrix : " << endl; + for( GW_U32 j=0; j<5; ++j ) + cout << M.GetColumn(j) << endl; + + GW_MatrixStatic<5,5,GW_Float> TMM = (TM*M); + GW_MatrixStatic<3,3,GW_Float> MTM = (M*TM); + s << "M^T*M = " << TMM << endl; + s << "M*M^T = " << MTM << endl; + + s << "Norm tests : " << endl; + s << "|M*M^T|_inf=" << MTM.NormInf() << + ", |M*M^T|_1=" << MTM.Norm1() << + ", |M*M^T|_2=" << MTM.Norm2() << endl; + s << "|M^T*M|_inf=" << TMM.NormInf() << + ", |M^T*M|_1=" << TMM.Norm1() << + ", |M^T*M|_2=" << TMM.Norm2() << endl; + + s << "Test TM=pseudo-identity : " << endl; + TM.LoadIdentity(); + s << TM << endl; + GW_MatrixStatic<3,5,GW_Float> N = M; + + s << "Replace in M a row by [pi,pi/2,pi/3,...] to get matrix N : " << endl; + GW_VectorStatic<5,GW_Float> r; + r[0] = GW_PI; r[1] = GW_PI/2; r[2] = GW_PI/3; r[3] = GW_PI/4; r[4] = GW_PI/5; + N.SetRow(r, 0); + s << N << endl; + + s << "Replace in N a column by [pi,pi*2,pi*3,...] : " << endl; + GW_VectorStatic<3,GW_Float> c; + c[0] = GW_PI; c[1] = GW_PI*2; c[2] = GW_PI*3; + N.SetColumn(c, 0); + s << N << endl; + + s << "Addition test : " << endl; + s << "M+2.5*M = " << (M+(M*2.5)) << endl; + + s << "Substration test : " << endl; + s << "N-2.5*N = " << (N-(N*2.5)) << endl; + + s << "Inversion test : " << endl; + GW_MatrixStatic<8,8,GW_Float> R; + R.Randomize(); + s << "Matrix R : " << R << endl; + GW_MatrixStatic<8,8,GW_Float> RI = R.Invert(); + s << "The inverse of R : " << RI << endl; + GW_Float err = (R*RI - GW_MatrixStatic<8,8,GW_Float>()).Norm2(); + s << "Norm 2 of (R*R^(-1)-Id) : " << err << endl; + GW_ASSERT(err A; + A.Randomize(); + GW_VectorStatic<8,GW_Float> x,b; + b.Randomize(); + A.Solve(x,b); + err = (A*x-b).Norm(); + cout << "Error = " << err << endl; + GW_ASSERT( err > CM; + GW_Complex min; + GW_Complex max; + max.real(1); max.imag(1); + CM.Randomize( min,max ); + cout << CM << endl; + cout << "|M|_2=" << CM.Norm2() << ", |M|_1=" << CM.Norm1() << ", |M|_inf=" << CM.NormInf() << endl; + } + +protected: + + /** the matrix datas */ + v_type aData_[r_size][c_size]; + +}; + + +template +inline +std::ostream& operator<<(std::ostream &s, GW_MatrixStatic& m) +{ + s << "GW_Matrix" << r_size << "x" << c_size; + if( traits::GetBasicTypeName()!=NULL ) + s << "<" << traits::GetBasicTypeName() << ">"; + s << " : " << endl; + for( GW_U32 i=0; i +inline +void Multiply(const GW_MatrixStatic& a, + const GW_MatrixStatic& b, + GW_MatrixStatic& r) +{ + for( GW_U32 i=0; i +inline +GW_MatrixStatic operator*(const GW_MatrixStatic& a, + const GW_MatrixStatic& b) +{ + GW_MatrixStatic r; + Multiply( a, b, r ); + return r; +} +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_MatrixStatic::operator *= +* +* \param m right hand matrix. +* \author Gabriel Peyré 2001-11-06 +* +* These matrix must be square of the same size. +*/ +/*------------------------------------------------------------------------------*/ +template +inline +void operator *=(const GW_MatrixStatic& a, + const GW_MatrixStatic& b) +{ + GW_MatrixStatic r; + Multiply( a, b, r ); + a = r; +} + + +/* Addition operators *************************************************************/ +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_MatrixStatic::Add +* +* \param a left hand matrix. +* \param b right hand matrix. +* \param r result. +* \author Gabriel Peyré 2001-11-06 +*/ +/*------------------------------------------------------------------------------*/ +template +inline +static void Add(const GW_MatrixStatic& a, + const GW_MatrixStatic& b, + GW_MatrixStatic& r) +{ + ITERATE(i,j, r.SetData(i,j, a.GetData(i,j)+b.GetData(i,j)); ) +} +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_MatrixStatic::Add +* +* \param a left hand matrix. +* \param b right hand matrix. +* \param r result. +* \author Gabriel Peyré 2001-11-06 +*/ +/*------------------------------------------------------------------------------*/ +template +inline +GW_MatrixStatic operator + (const GW_MatrixStatic & a, + const GW_MatrixStatic & b) +{ + GW_MatrixStatic r; + Add( a, b, r ); + return r; +} +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_MatrixStatic::UMinus +* +* \author Gabriel Peyré 2001-11-06 +*/ +/*------------------------------------------------------------------------------*/ +template +inline +void operator += (const GW_MatrixStatic & a, + const GW_MatrixStatic & b) +{ + Add( a, b, a ); +} + + +/* Substraction operators *************************************************************/ +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_MatrixStatic::Minus +* +* \param a left hand matrix. +* \param b right hand matrix. +* \param r result. +* \author Gabriel Peyré 2001-11-06 +*/ +/*------------------------------------------------------------------------------*/ +template +inline +static void Minus( const GW_MatrixStatic& a, + const GW_MatrixStatic& b, + GW_MatrixStatic& r) +{ + ITERATE(i,j, r.SetData(i,j, a.GetData(i,j)-b.GetData(i,j)); ) +} +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_MatrixStatic::- +* +* \param a left hand matrix. +* \param b right hand matrix. +* \param r result. +* \author Gabriel Peyré 2001-11-06 +*/ +/*------------------------------------------------------------------------------*/ +template +inline +GW_MatrixStatic operator - (const GW_MatrixStatic & a, + const GW_MatrixStatic & b) +{ + GW_MatrixStatic r; + Minus( a, b, r ); + return r; +} +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_MatrixStatic::-= +* +* \author Gabriel Peyré 2001-11-06 +*/ +/*------------------------------------------------------------------------------*/ +template +inline +void operator -= (const GW_MatrixStatic & a, + const GW_MatrixStatic & b) +{ + Minus( a, b, a ); +} + +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_MatrixStatic::UMinus +* +* \param a left hand matrix. +* \param r result. +* \return opposed of the matrix. +* \author Gabriel Peyré 2001-11-06 +*/ +/*------------------------------------------------------------------------------*/ +template +inline +void UMinus(const GW_MatrixStatic& a, GW_MatrixStatic& r) +{ + ITERATE(i,j, r.SetData(i,j, -a.GetData(i,j)); ) +} + +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_MatrixStatic::unary - +* +* \author Gabriel Peyré 2001-11-06 +*/ +/*------------------------------------------------------------------------------*/ +template +inline +GW_MatrixStatic operator - (const GW_MatrixStatic & a) +{ + GW_MatrixStatic r; + UMinus( a, r ); +} + + +#undef ITERATE + +} // End namespace GW + + +#endif // __GW_MatrixStatic_h_ + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (C) 2000-2001 The Orion3D Rewiew Board // +//---------------------------------------------------------------------------// +// This file is under the Orion3D licence. // +// Refer to orion3d_licence.txt for more details about the Orion3D Licence. // +//---------------------------------------------------------------------------// +// Ce fichier est soumis a la Licence Orion3D. // +// Se reporter a orion3d_licence.txt pour plus de details sur cette licence.// +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_Quaternion.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_Quaternion.h.svn-base new file mode 100644 index 0000000..d1eaae1 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_Quaternion.h.svn-base @@ -0,0 +1,678 @@ +/*----------------------------------------------------------------------------*/ +/* GW_Quaternion.h */ +/*----------------------------------------------------------------------------*/ +/* a quaternion */ +/*----------------------------------------------------------------------------*/ + + +/** \file + This file contains the defintion of a quaternion, wich can be used to + represent a rotation, and is mainly used for animation purposes. + \author Gabriel. +**/ + +#ifndef _GW_QUATERNION_H_ +#define _GW_QUATERNION_H_ + +#include "GW_MathsConfig.h" +#include "GW_Maths.h" +#include "GW_Matrix3x3.h" + +namespace GW +{ + +class GW_Matrix3x3; + +/*--------------------------------------------------------------------*/ +/* class GW_Quaternion */ +/*--------------------------------------------------------------------*/ +/* a quaternion */ +/*--------------------------------------------------------------------*/ + +/*! \ingroup group_primitive + * \brief class GW_Quaternion in group group primitive + */ + +/// A quatenion has 4 components, and represent rotation matrix. +/** + The quaternion algebra is known to be the only real algebra (with division) + of finite dimension after the complex plane. + This result is due to Frobenius + \author Gabriel +*/ + +class GW_Quaternion +{ + +public: + + GW_Quaternion::GW_Quaternion() + { + x=y=z=0; + w=1; + } + + GW_Quaternion::GW_Quaternion(const GW_Float _w, const GW_Float _x, + const GW_Float _y, const GW_Float _z) + { + x=_x; + y=_y; + z=_z; + w=_w; + } + + GW_Quaternion::GW_Quaternion(const GW_Float _w, const GW_Float axe[3]) + { + x=axe[X]; + y=axe[Y]; + z=axe[Z]; + w=_w; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion constructor + * + * \param axe the axe of the quaternion + * \author Gabriel Peyré 2001-09-10 + */ + /*------------------------------------------------------------------------------*/ + GW_Quaternion::GW_Quaternion(GW_Vector3D& axe) + { + x = axe[X]; + y = axe[Y]; + z = axe[Z]; + w = 0; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion constructor + * + * \param mat Rotation matrix + * \author Antoine Bouthors 2002-09-03 + * + */ + /*------------------------------------------------------------------------------*/ + GW_Quaternion::GW_Quaternion(GW_Matrix3x3& mat) + { + BuildFromMatrix( mat ); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::GetX + * + * \return the X coord. + * \author Gabriel Peyré 2001-11-28 + */ + /*------------------------------------------------------------------------------*/ + GW_Float GW_Quaternion::GetX() const + { + return x; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::GetY + * + * \return the Y coord. + * \author Gabriel Peyré 2001-11-28 + */ + /*------------------------------------------------------------------------------*/ + GW_Float GW_Quaternion::GetY() const + { + return y; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::GetZ + * + * \return the Z coord. + * \author Gabriel Peyré 2001-11-28 + */ + /*------------------------------------------------------------------------------*/ + GW_Float GW_Quaternion::GetZ() const + { + return z; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::GetW + * + * \return the W coord. + * \author Gabriel Peyré 2001-11-28 + */ + /*------------------------------------------------------------------------------*/ + GW_Float GW_Quaternion::GetW() const + { + return w; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::SetW + * + * \return the W coord. + * \author Gabriel Peyré 2001-11-28 + */ + /*------------------------------------------------------------------------------*/ + void GW_Quaternion::SetW(GW_Float rVal) + { + w = rVal; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::SetX + * + * \return the X coord. + * \author Gabriel Peyré 2001-11-28 + */ + /*------------------------------------------------------------------------------*/ + void GW_Quaternion::SetX(GW_Float rVal) + { + x = rVal; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::SetY + * + * \return the Y coord. + * \author Gabriel Peyré 2001-11-28 + */ + /*------------------------------------------------------------------------------*/ + void GW_Quaternion::SetY(GW_Float rVal) + { + y = rVal; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::SetZ + * + * \return the Z coord. + * \author Gabriel Peyré 2001-11-28 + */ + /*------------------------------------------------------------------------------*/ + void GW_Quaternion::SetZ(GW_Float rVal) + { + z = rVal; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::SetIdentity + * + * \return this + * \author Antoine Bouthors 2002-09-01 + * + * Set the quaternion to the identity (x=y=z=0;w=1;) + */ + /*------------------------------------------------------------------------------*/ + GW_Quaternion& GW_Quaternion::SetIdentity() + { + x=y=z=0; + w=1; + return( *this ); + } + + + /** Quats multiplication. */ + GW_Quaternion GW_Quaternion::operator*(const GW_Quaternion& b) const + { + return GW_Quaternion(w*b.w - (x*b.x + y*b.y + z*b.z), + w*b.x + b.w*x + y*b.z - z*b.y, + w*b.y + b.w*y + z*b.x - x*b.z, + w*b.z + b.w*z + x*b.y - y*b.x); + } + /** Auto multiplication */ + GW_Quaternion& GW_Quaternion::operator*=(const GW_Quaternion& q) + { + GW_Float _w = w*q.w - (x*q.x + y*q.y + z*q.z); + GW_Float _x = w*q.x + q.w*x + y*q.z - z*q.y; + GW_Float _y = w*q.y + q.w*y + z*q.x - x*q.z; + z = w*q.z + q.w*z + x*q.y - y*q.x; + w = _w; + x = _x; + y = _y; + return *this; + } + /** Divide */ + GW_Quaternion GW_Quaternion::operator/(const GW_Quaternion& q) + { + GW_Quaternion qinv = q.Invert(); + qinv = (*this)*q; + return q; + } + /** Scaling */ + GW_Quaternion GW_Quaternion::operator*(GW_Float m) const + { + return GW_Quaternion(m*w, m*x, m*y, m*z); + } + /** Auto scaling */ + GW_Quaternion& GW_Quaternion::operator*=(GW_Float f) + { + z *= f; + w *= f; + x *= f; + y *= f; + return *this; + } + /** Invert-Scaling */ + GW_Quaternion GW_Quaternion::operator/(GW_Float m) const + { + if( m==0 ) + return GW_Quaternion(); + else + return GW_Quaternion(w/m, x/m, y/m, z/m); + } + /** Auto invert-scaling */ + GW_Quaternion& GW_Quaternion::operator/=(GW_Float f) + { + if( f!=0 ) + { + f = 1/f; + z *= f; + w *= f; + x *= f; + y *= f; + } + return *this; + } + /** Auto-addition */ + GW_Quaternion& GW_Quaternion::operator+=(GW_Quaternion &q) + { + w+=q.w; + x+=q.x; + y+=q.y; + z+=q.z; + return *this; + } + /** Auto-substraction. */ + GW_Quaternion& GW_Quaternion::operator-=(GW_Quaternion &q) + { + w-=q.w; + x-=q.x; + y-=q.y; + z-=q.z; + return *this; + } + /** Addition of quats */ + GW_Quaternion GW_Quaternion::operator+(GW_Quaternion &q) const + { + return GW_Quaternion(w+q.w, x+q.x, y+q.y, z+q.z); + } + /** Substraction. */ + GW_Quaternion GW_Quaternion::operator-(GW_Quaternion &q) const + { + return GW_Quaternion(w-q.w, x-q.x, y-q.y, z-q.z); + } + /** Unary minus. */ + GW_Quaternion GW_Quaternion::operator-() const + { + return GW_Quaternion(-w, -x, -y, -z); + } + /** Conjugaison. */ + GW_Quaternion GW_Quaternion::Conjugate() const + { + return GW_Quaternion(w, -x, -y, -z); + } + /** Auto conjugaison. */ + void GW_Quaternion::AutoConjugate() + { + x=-x; + y=-y; + z=-z; + } + /** Inversion */ + GW_Quaternion Invert() const + { + return this->Conjugate()/this->SquareNorm(); + } + /** auto inversion */ + void AutoInvert() + { + this->AutoConjugate(); + (*this) /= this->SquareNorm(); + } + /** Build a unit length quat. */ + void GW_Quaternion::AutoNormalize() + { + GW_Float norm = this->Norm(); + if (norm == 0.0) + { + w = 1.0; + x = y = z = 0.0; + } + else + { + GW_Float recip = 1/norm; + + w *= recip; + x *= recip; + y *= recip; + z *= recip; + } + } + /** Build a unit length quat. */ + GW_Quaternion GW_Quaternion::Normalize() const + { + GW_Float norme = this->Norm(); + if (norme == 0.0) + { + return GW_Quaternion(); + } + else + { + GW_Float recip = 1/norme; + return GW_Quaternion(w*recip, x*recip, y*recip, z*recip); + } + } + /** Return a normalized quaternion. */ + GW_Quaternion operator !() const + { + return this->Normalize(); + } + /** The norm. */ + GW_Float GW_Quaternion::Norm() const + { + return ::sqrt( this->SquareNorm() ); + } + /** get the norm */ + GW_Float GW_Quaternion::operator ~() + { + return this->Norm(); + } + /** Square norm. */ + GW_Float GW_Quaternion::SquareNorm() const + { + return w*w + x*x + y*y + z*z; + } + + + /** Build from axis and angle */ + void GW_Quaternion::BuildFromAxis(const GW_Float angle, GW_Float _x, GW_Float _y, GW_Float _z) + { + GW_Float omega, s, c; + + s = _x*_x + _y*_y + _z*_z; + + if (fabs(s) > GW_EPSILON) + { + c=1/s; + + _x*=c; + _y*=c; + _z*=c; + + omega=-0.5f*angle; + s=(GW_Float)sin(omega); + + x=s*_x; + y=s*_y; + z=s*_z; + w=(GW_Float)cos(omega); + } + else + { + x=y=0.0f; + z=0.0f; + w=1.0f; + } + this->AutoNormalize(); + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::ToAxisAndAngle + * + * \param axis output the axis of the rotation. + * \param angle output the angle of the rotation (\b IN \b RADIAN). + * \author Gabriel Peyré 2001-11-06 + * + * A quaternion can be converted back to a rotation axis and angle + * using the following algorithm : + * + * \code + * If the axis of rotation is (ax, ay, az) + * and the angle is theta (radians) + * then the angle= 2 * acos(w) + * + * ax= x / scale + * ay= y / scale + * az= z / scale + * + * where scale = x^2 + y^2 + z^2 + * \endcode + */ + /*------------------------------------------------------------------------------*/ + void GW_Quaternion::ToAxisAndAngle(GW_Vector3D& axis, GW_Float& angle) const + { + GW_Float rAngle = 2*((GW_Float) acos( w )); + GW_Float rScale = x*x + y*y + z*z; + + if( GW_ABS(rScale) 0 ) + { + S = 0.5f / ::sqrt( T ); + x = .25f / S; + y = ( M[7] - M[5] ) * S; + z = ( M[2] - M[6] ) * S; + w = ( M[3] - M[1] ) * S; + } + else + { + // find the column of the matrix which has the greatest value + GW_U32 i = 2; + if( M[0] > M[4] && M[0] > M[8] ) i = 0; + if( M[4] > M[0] && M[4] > M[8] ) i = 1; + + switch( i ) + { + case 0: + S = ::sqrt( 1.f + M[0] - M[4] - M[8] ) * 2; + y = .5f / S; + z = ( M[1] + M[3] ) / S; + w = ( M[2] + M[6] ) / S; + x = ( M[5] + M[7] ) / S; + break; + + case 1: + S = ::sqrt( 1.f - M[0] + M[4] - M[8] ) * 2; + z = .5f / S; + y = ( M[1] + M[3] ) / S; + x = ( M[2] + M[6] ) / S; + w = ( M[5] + M[7] ) / S; + break; + + case 2: + S = ::sqrt( 1.f - M[0] - M[4] + M[8] ) * 2; + w = .5f / S; + x = ( M[1] + M[3] ) / S; + y = ( M[2] + M[6] ) / S; + z = ( M[5] + M[7] ) / S; + break; + } + } + } + + /** Spherical interpolation. */ + GW_Quaternion GW_Quaternion::Slerp(GW_Quaternion& b, GW_Float t) + { + GW_Float omega, cosom, sinom, sclp, sclq; + + cosom = x*b.x + y*b.y + z*b.z + w*b.w; + + if ((1.0f+cosom) > GW_EPSILON) + { + if ((1.0f-cosom) > GW_EPSILON) + { + omega = (GW_Float) acos(cosom); + sinom = (GW_Float) sin(omega); + sclp = (GW_Float) sin((1.0f-t)*omega) / sinom; + sclq = (GW_Float) sin(t*omega) / sinom; + } + else + { + sclp = 1.0f - t; + sclq = t; + } + + x = sclp*x + sclq*b.x; + y = sclp*y + sclq*b.y; + z = sclp*z + sclq*b.z; + w = sclp*w + sclq*b.w; + } + else + { + x =-y; + y = x; + z =-w; + w = z; + + sclp = (GW_Float) sin((1.0f-t) * GW_PI * 0.5); + sclq = (GW_Float) sin(t * GW_PI * 0.5); + + x = sclp*x + sclq*b.x; + y = sclp*y + sclq*b.y; + z = sclp*z + sclq*b.z; + } + return *this; + } + + /** Linear interpolation. */ + GW_Quaternion GW_Quaternion::Lerp(GW_Quaternion& to, GW_Float t) + { + return GW_Quaternion(w*(1-t) + to.w*t,x*(1-t) + to.x*t, y*(1-t) + to.y*t, + z*(1-t) + to.z*t).Normalize(); + } + + /** Compute the exponential. */ + GW_Quaternion& GW_Quaternion::Exp() + { + GW_Float mul; + GW_Float length = x*x + y*y + z*z; + + if (length > GW_EPSILON) + mul = (GW_Float) sin(length)/length; + else + mul = 1.0; + + w = (GW_Float) cos(length); + + x *= mul; + y *= mul; + z *= mul; + + return *this; + } + + /** Compute the logarithm. */ + GW_Quaternion& GW_Quaternion::Log() + { + GW_Float length = x*x+y*y+z*z; + length = (GW_Float) atan(length/w); + + w = 0.0; + + x *= length; + y *= length; + z *= length; + + return *this; + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_Quaternion", s); + + TestClassFooter("GW_Quaternion", s); + } + + + +protected: + + /** the fourth component of the quaterion */ + GW_Float w, x, y, z; + +}; + +inline +std::ostream& operator<<(std::ostream &s, GW_Quaternion& m) +{ + s << "GW_Quaternion : {w=" << m.GetW() << ",x=" << m.GetX() << ",y=" << m.GetY() << ",z=" << m.GetZ() << "}"; + return s; +} + + +} // namespace GW + +#endif /* #ifndef _GW_QUATERNION_H_ */ + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (C) 2000-2001 The Orion3D Rewiew Board // +//---------------------------------------------------------------------------// +// This file is under the Orion3D licence. // +// Refer to orion3d_licence.txt for more details about the Orion3D Licence. // +//---------------------------------------------------------------------------// +// Ce fichier est soumis a la Licence Orion3D. // +// Se reporter a orion3d_licence.txt pour plus de details sur cette licence.// +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_SparseMatrix.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_SparseMatrix.h.svn-base new file mode 100644 index 0000000..602dcfc --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_SparseMatrix.h.svn-base @@ -0,0 +1,463 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_SparseMatrix.h + * \brief Definition of class \c GW_SparseMatrix + * \author Gabriel Peyré + * \date 6-8-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_SPARSEMATRIX_H_ +#define _GW_SPARSEMATRIX_H_ + +#include "GW_MathsConfig.h" + + +extern "C" { +#include +#include +#include +#include +#include +#include +#include +} + +namespace GW { + +typedef Vector LSP_Vector; +typedef QMatrix LSP_Matrix; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_SparseMatrix + * \brief A sparse matrix. + * \author Gabriel Peyré + * \date 6-8-2003 + * + * It is a wrapper \c LASPACK library. + */ +/*------------------------------------------------------------------------------*/ + +std::ostream& operator<<(std::ostream &s, class GW_SparseMatrix& A); + +class GW_SparseMatrix +{ +public: + + enum T_IterativeSolverType + { + /* classical iterative methods */ + IterativeSolver_Jacobi, + IterativeSolver_SORForw, + IterativeSolver_SORBackw, + IterativeSolver_SSOR, + /* semi-iterative methods */ + IterativeSolver_Chebyshev, + /* CG and CG-like methods */ + IterativeSolver_CG, + IterativeSolver_CGN, + IterativeSolver_GMRES, + IterativeSolver_BiCG, + IterativeSolver_QMR, + IterativeSolver_CGS, + IterativeSolver_BiCGSTAB, + }; + + enum T_PreconditionerType + { + Preconditioner_Jacobi, + Preconditioner_SSOR, + Preconditioner_ILU, + Preconditioner_NULL // no preconditioner + }; + + GW_SparseMatrix( GW_U32 nSize, ElOrderType ElOrder = Rowws ) + { + Q_Constr( &M_, "GW_SparseMatrix", nSize, False, ElOrder, Normal, True ); + RowPosition_ = new GW_U32[nSize]; + memset( RowPosition_, 0, nSize*sizeof(GW_U32) ); + } + GW_SparseMatrix( GW_SparseMatrix& Original ) + { + Q_Constr( &M_, "GW_SparseMatrix", Original.GetDim(), False, Q_GetElOrder( &Original.M_ ), Normal, True ); + RowPosition_ = new GW_U32[Original.GetDim()]; + memset( RowPosition_, 0, Original.GetDim()*sizeof(GW_U32) ); + (*this) = Original; + } + GW_SparseMatrix( GW_MatrixNxP& Original, ElOrderType ElOrder = Rowws ) + { + GW_ASSERT( Original.GetNbrRows()==Original.GetNbrCols() ); + GW_U32 nSize = GW_MIN(Original.GetNbrRows(),Original.GetNbrCols()); + Q_Constr( &M_, "GW_SparseMatrix", nSize, False, ElOrder, Normal, True ); + RowPosition_ = new GW_U32[nSize]; + memset( RowPosition_, 0, nSize*sizeof(GW_U32) ); + /* copy data */ + this->BuildFromFull(Original); + } + virtual ~GW_SparseMatrix() + { + Q_Destr( &M_ ); + GW_DELETEARRAY(RowPosition_); + } + GW_SparseMatrix& operator =( GW_SparseMatrix& Original ) + { + GW_ASSERT( this->GetDim()==Original.GetDim() ); + GW_SparseMatrix::Copy( *this, Original.M_ ); + return *this; + } + + void BuildFromFull( GW_MatrixNxP& Original ) + { + GW_U32 nSize = Original.GetNbrRows(); + /* copy data */ + for( GW_U32 i=0; iSetRowSize(i,nNonZero); + for( GW_U32 j=0; jSetData( i,j, Original.GetData(i,j) ); + } + } + + GW_U32 GetDim() + { + return (GW_U32) Q_GetDim(&M_); + } + + //------------------------------------------------------------------------- + /** \name accessors */ + //------------------------------------------------------------------------- + //@{ + GW_Float GetData(GW_U32 i, GW_U32 j) + { + GW_ASSERT( iGetDim() && jGetDim() ); + return Q_GetEl(&M_, i+1,j+1); + } + GW_U32 GetRowSize( GW_U32 i ) + { + return (GW_U32) Q_GetLen( &M_, i+1 ); + } + void SetRowSize( GW_U32 i, GW_U32 nSize ) + { + GW_ASSERT( iGetDim() ); + GW_ASSERT( nSize<=this->GetDim() ); + Q_SetLen( &M_, i+1, nSize ); + // restart the counter ... + RowPosition_[i] = 0; + } + void ResetRowSize( GW_U32 i, GW_U32 nSize ) + { + GW_ASSERT( iGetDim() ); + GW_ASSERT( nSize<=this->GetDim() ); + /* we must save the previous stuff */ + std::list PosList; + std::list ValList; + for( GW_U32 k=0; k::iterator it_val = ValList.begin(); + for( std::list::iterator it_pos = PosList.begin(); it_pos!=PosList.end(); ++it_pos ) + { + GW_ASSERT( it_val!=ValList.end() ); + GW_Float val = *it_val; + GW_U32 pos = *it_pos; GW_ASSERT( pos>0 ); + this->SetData( i, pos-1, val ); + ++it_val; + } + GW_ASSERT( it_val==ValList.end() ); + } + void SetData( GW_U32 i, GW_U32 j, GW_Float rVal ) + { + GW_ASSERT( iGetDim() && jGetDim() ); + GW_ASSERT( this->GetRowSize(i)>0 && RowPosition_[i]GetRowSize(i) ); + RowPosition_[i]++; + Q_SetEntry(&M_, i+1, RowPosition_[i]-1, j+1, rVal); // matrix, row, entry, col, val + } + //@} + + /** access element by element */ + GW_Float AccessEntry( GW_U32 i, GW_U32 entry, GW_U32& j ) + { + GW_ASSERT( entryGetRowSize(i) ); + if( entryGetRowSize(i) ) + { + j = (GW_U32) Q_GetPos(&M_, i+1, entry) - 1; + return Q_GetVal(&M_, i+1, entry); + } + return 0; + } + + //------------------------------------------------------------------------- + /** \name multiplication methods (both optimised and non-optimised) */ + //------------------------------------------------------------------------- + //@{ + GW_VectorND operator*(GW_VectorND& v) + { + GW_VectorND r(v.GetDim()); + GW_SparseMatrix::Multiply( *this, v, r ); + return r; + } + static void Multiply(GW_SparseMatrix& a, GW_VectorND& v, GW_VectorND& r) + { + GW_ASSERT( a.GetDim()==v.GetDim() ); + GW_ASSERT( a.GetDim()==r.GetDim() ); + LSP_Vector v1; + V_Constr( &v1, "temp", v.GetDim(), Normal, True ); + GW_SparseMatrix::Copy( v1, v ); + Asgn_VV( &v1, Mul_QV( &a.M_, &v1 ) ); + GW_SparseMatrix::Copy( r, v1 ); + V_Destr( &v1 ); + } + //@} + + GW_SparseMatrix Transpose() + { + ElOrderType ElOrder = Q_GetElOrder(&M_); + if( ElOrder == Rowws ) + ElOrder = Clmws; + else if( ElOrder == Clmws ) + ElOrder = Rowws; + GW_SparseMatrix r(this->GetDim(), ElOrder); + GW_SparseMatrix::Transpose( *this, r ); + return r; + } + static void Transpose(GW_SparseMatrix& a, GW_SparseMatrix& r) + { + GW_SparseMatrix::Copy( r, *Transp_Q(&a.M_) ); + } + + void BuildTriDiag( GW_Float val_down, GW_Float val_up, GW_Float val_diag ) + { + GW_U32 n = this->GetDim(); + this->SetRowSize(0,2); + this->SetData(0,0, val_diag); + this->SetData(0,1, val_up); + for( GW_U32 i=1; iSetRowSize(i,3); + this->SetData(i,i-1, val_down); + this->SetData(i,i, val_diag); + this->SetData(i,i+1, val_up); + } + this->SetRowSize(n-1,2); + this->SetData(n-1,n-2, val_down); + this->SetData(n-1,n-1, val_diag); + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_SparseMatrix", s); + GW_U32 n = 10; + + s << "Creation test." << endl; + GW_SparseMatrix SM(n); + SM.BuildTriDiag( 3,3,4 ); + s << SM; + + s << "M1=M2 : Copy test." << endl; + GW_SparseMatrix SM2(n); + SM2 = SM; + s << SM; + + s << "M^T : Transpose test." << endl; + s << SM.Transpose(); + + + s << "M*[1] : Matrix/Vector multiplication test." << endl; + GW_VectorND v(n); + v.SetValue(1); + s << SM*v << endl; + + n = 1000; + GW_Float eps = 1e-10; + GW_SparseMatrix SM3(n); + SM3.BuildTriDiag( 3,3,4 ); + s << "Conjugate gradient with SSOR test, size " << n << endl; + GW_VectorND x(n); + GW_VectorND b(n); + b.Randomize(); + GW_Float err = SM3.IterativeSolve( x, b, GW_SparseMatrix::IterativeSolver_CG, GW_SparseMatrix::Preconditioner_SSOR, + eps, 5*n, 1.2, GW_True ); + s << "Error=" << err << "." << endl; + + + GW_SparseMatrix SM4(n); + SM4.BuildTriDiag( -3,3,4 ); + s << "Bi-conjugate gradient with SSOR test, size " << n << endl; + b.Randomize(); + err = SM4.IterativeSolve( x, b, GW_SparseMatrix::IterativeSolver_BiCG, GW_SparseMatrix::Preconditioner_SSOR, + eps, 5*n, 1.2, GW_True ); + s << "Error=" << err << "." << endl; + TestClassFooter("GW_SparseMatrix", s); + } + + void Print(std::ostream &s) + { + s << "Sparse matrix, size " << this->GetDim() << "x" << this->GetDim() << "." << endl; + for( GW_U32 i=0; iGetDim(); ++i ) + { + s << "|"; + for( GW_U32 j=0; jGetDim();++j ) + { + if( Q_GetElOrder(&M_)==Rowws ) + s << this->GetData(i,j); + else + s << this->GetData(j,i); + if( j!=this->GetDim()-1 ) + s << " "; + } + s << "|" << endl; + } + } + + GW_Float IterativeSolve( GW_VectorND& x, GW_VectorND& b, T_IterativeSolverType Solver, T_PreconditionerType Preconditioner, + GW_Float eps = 1e-10, GW_U32 nMaxIter = 100, GW_Float Omega = 1.2, GW_Bool bGetError = GW_False ) + { + LSP_Vector xv; + LSP_Vector bv; + size_t Dim = this->GetDim(); + + /* temportary data */ + V_Constr( &xv, "xv", Dim, Normal, True ); + GW_SparseMatrix::Copy( xv, x ); + V_Constr( &bv, "bv", Dim, Normal, True ); + GW_SparseMatrix::Copy( bv, b ); + + /* set the preconditioner */ + PrecondProcType PrecondProc = NULL; + switch( Preconditioner ) { + case Preconditioner_SSOR: + PrecondProc = SSORPrecond; + break; + case Preconditioner_Jacobi: + PrecondProc = JacobiPrecond; + break; + case Preconditioner_ILU: + PrecondProc = ILUPrecond; + break; + } + + SetRTCAccuracy( eps ); + V_SetAllCmp( &xv, 0 ); // initial guess + switch(Solver) { + case IterativeSolver_Jacobi: + JacobiIter(&M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_SORForw: + SORForwIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_SORBackw: + SORBackwIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_SSOR: + SSORIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_Chebyshev: + ChebyshevIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_CG: + CGIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_CGN: + CGNIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_GMRES: + GMRESIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_BiCG: + BiCGIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_QMR: + QMRIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_CGS: + CGSIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_BiCGSTAB: + BiCGSTABIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + default: + GW_ASSERT( GW_False ); + } + + GW_SparseMatrix::Copy( x, xv ); + + if( bGetError ) + { + /* r = b - A * x */ + return (b-(*this)*x).Norm2(); + } + else + return 0; + + /* destroy data */ + V_Destr(&xv); + V_Destr(&bv); + } + + /** Internal helper */ + static void Copy( GW_VectorND& v1, LSP_Vector& v2 ) + { + GW_ASSERT( V_GetDim(&v2)==v1.GetDim() ); + for( GW_U32 i=0; i +{ + +public: + + GW_Vector2D() :GW_VectorStatic<2,GW_Float>() {} + GW_Vector2D( const GW_VectorStatic<2,GW_Float>& v ) :GW_VectorStatic<2,GW_Float>(v) {} + GW_Vector2D( GW_Float a ) :GW_VectorStatic<2,GW_Float>(a) {} + GW_Vector2D( GW_Float a, GW_Float b ) + { + aCoords_[0] = a; + aCoords_[1] = b; + } + void SetCoord( GW_Float a, GW_Float b ) + { + aCoords_[0] = a; + aCoords_[1] = b; + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_Vector2D::Rotate + /** + * \param a [GW_Float] Angle + * \return [GW_Vector2D] Rotated vector. + * \author Gabriel Peyré + * \date 5-26-2003 + * + * Return a rotated vector. + */ + /*------------------------------------------------------------------------------*/ + GW_Vector2D Rotate( GW_Float a ) + { + return GW_VectorStatic<2,GW_Float>::Rotate(a, 0,1 ); + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_Vector2D", s); + s << "Test for rotation of vector 2D" << endl; + GW_Vector2D v; + v.Randomize(); + s << "Vector v : " << v << endl; + GW_Vector2D w = v.Rotate(GW_HALFPI); + s << "v rotated of pi/2 : " << w << endl; + GW_Float dot = w*v; + GW_ASSERT( GW_ABS(dot)<1e-6 ); + TestClassFooter("GW_Vector2D", s); + } + +}; + + + + +GW_END_NAMESPACE + + +#endif // __GW_Vector2D_h_ + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_Vector3D.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_Vector3D.h.svn-base new file mode 100644 index 0000000..a67a19c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_Vector3D.h.svn-base @@ -0,0 +1,114 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Vector3D.h + * \brief Definition of class \c GW_Vector3D + * \author Gabriel Peyré 2001-09-10 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef __GW_Vector3D_h_ +#define __GW_Vector3D_h_ + +#include "GW_MathsConfig.h" +#include "GW_VectorStatic.h" // here +#include "GW_Vector2D.h" + +GW_BEGIN_NAMESPACE + +/** Forward definition **/ +class GW_Vector3D; +GW_Vector3D operator^( const GW_VectorStatic<3,GW_Float>& v1, const GW_VectorStatic<3,GW_Float>& v2); + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_Vector3D + * \brief A 3D vector, with usefull operators and methods. + * \author Gabriel Peyré 2001-09-10 + * + * This class is used every where ... + * A constructor makes the conversion GW_Float[3] -> GW_Vector3D + * A lot of operator have been defined to make common maths operations, so use them ! + */ +/*------------------------------------------------------------------------------*/ +class GW_Vector3D: public GW_VectorStatic<3,GW_Float> +{ + +public: + + GW_Vector3D() :GW_VectorStatic<3,GW_Float>() {} + GW_Vector3D( const GW_VectorStatic<3,GW_Float>& v ) :GW_VectorStatic<3,GW_Float>(v) {} + GW_Vector3D( GW_Float a ) :GW_VectorStatic<3,GW_Float>(a) {} + GW_Vector3D( GW_Float a, GW_Float b, GW_Float c ) + { + aCoords_[0] = a; + aCoords_[1] = b; + aCoords_[2] = c; + } + GW_Vector3D( GW_Vector2D& v ) + { + aCoords_[0] = v[0]; + aCoords_[1] = v[1]; + aCoords_[2] = 0; + } + /** copy operator */ + void SetCoord( GW_Float a, GW_Float b, GW_Float c ) + { + aCoords_[0] = a; + aCoords_[1] = b; + aCoords_[2] = c; + } + + GW_Vector2D ToVector2D() + { + return GW_Vector2D(aCoords_[0], aCoords_[1]); + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_Vector3D", s); + GW_Vector3D v1; + v1.Randomize(); + v1.Normalize(); + GW_ASSERT( GW_ABS(~v1 - 1)& v1, const GW_VectorStatic<3,GW_Float>& v2) +{ + return GW_Vector3D( v1[1]*v2[2] - v1[2]*v2[1], + v1[2]*v2[0] - v1[0]*v2[2], + v1[0]*v2[1] - v1[1]*v2[0]); +} + + +GW_END_NAMESPACE + + + +#endif // __GW_Vector3D_h_ + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_Vector4D.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_Vector4D.h.svn-base new file mode 100644 index 0000000..1e2d641 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_Vector4D.h.svn-base @@ -0,0 +1,79 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Vector4D.h + * \brief Definition of class \c GW_Vector4D + * \author Gabriel Peyré 2001-09-10 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef __GW_Vector4D_h_ +#define __GW_Vector4D_h_ + +#include "GW_MathsConfig.h" +#include "GW_Maths.h" +#include "GW_VectorStatic.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_Vector4D + * \brief A 4D vector, with usefull operators and methods. + * \author Gabriel Peyré 2001-09-10 + * + * This class is used every where ... + * A constructor makes the conversion GW_Float[4] -> GW_Vector4D + * A lot of operator have been defined to make common maths operations, so use them ! + */ +/*------------------------------------------------------------------------------*/ + +class GW_Vector4D: public GW_VectorStatic<4,GW_Float> +{ + +public: + + GW_Vector4D() :GW_VectorStatic<4,GW_Float>() {} + GW_Vector4D( const GW_VectorStatic<4,GW_Float>& v ) :GW_VectorStatic<4,GW_Float>(v) {} + GW_Vector4D( GW_Float a ) :GW_VectorStatic<4,GW_Float>(a) {} + GW_Vector4D( GW_Float a, GW_Float b, GW_Float c, GW_Float d ) + { + aCoords_[0] = a; + aCoords_[1] = b; + aCoords_[2] = c; + aCoords_[2] = d; + } + void SetCoord( GW_Float a, GW_Float b, GW_Float c, GW_Float d ) + { + aCoords_[0] = a; + aCoords_[1] = b; + aCoords_[2] = c; + aCoords_[2] = d; + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_Vector4D", s); + TestClassFooter("GW_Vector4D", s); + } + +}; + + +} // End namespace GW + + +#endif // __GW_Vector4D_h_ + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (C) 2000-2001 The Orion3D Rewiew Board // +//---------------------------------------------------------------------------// +// This file is under the Orion3D licence. // +// Refer to orion3d_licence.txt for more details about the Orion3D Licence. // +//---------------------------------------------------------------------------// +// Ce fichier est soumis a la Licence Orion3D. // +// Se reporter a orion3d_licence.txt pour plus de details sur cette licence.// +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_VectorND.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_VectorND.h.svn-base new file mode 100644 index 0000000..d9ea8a4 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/.svn/text-base/GW_VectorND.h.svn-base @@ -0,0 +1,460 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VectorND.h + * \brief Definition of class \c GW_VectorND + * \author Gabriel Peyré + * \date 5-31-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_VECTORND_H_ +#define _GW_VECTORND_H_ + + +#error toto +#include "GW_MathsConfig.h" +#include "GW_VectorStatic.h" + +#include "tnt/tnt.h" +#include "tnt/jama_eig.h" +#include "tnt/jama_qr.h" +#include "tnt/jama_cholesky.h" +#include "tnt/jama_svd.h" +#include "tnt/jama_lu.h" + + +namespace GW { + +typedef TNT::Array1D GW_TNTArray1D; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_VectorND + * \brief A vector of size N + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Use \b TNT lib + */ +/*------------------------------------------------------------------------------*/ + +class GW_VectorND: public GW_TNTArray1D +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_VectorND() :GW_TNTArray1D(){} + explicit GW_VectorND(GW_U32 n) :GW_TNTArray1D((int) n){} + GW_VectorND(GW_U32 n, GW_Float *a) :GW_TNTArray1D((int) n,a){} + GW_VectorND(GW_U32 n, const GW_Float &a):GW_TNTArray1D((int) n,a){} + GW_VectorND(const GW_VectorND &A) :GW_TNTArray1D(A){} + //@} + + GW_U32 GetDim() const + { + return this->dim(); + } + + void Reset( GW_U32 dim ) + { + ((GW_TNTArray1D&) (*this)) = GW_TNTArray1D((int) dim); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::operator + * + * \param f Rigth hand statement + * \return the vector scaled. + * \author Gabriel Peyré 2001-09-29 + */ + /*------------------------------------------------------------------------------*/ + GW_VectorND GW_VectorND::operator*(const GW_Float& f) const + { + GW_VectorND Res( this->GetDim() ); + GW_VectorND::Multiply( f, *this, Res ); + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::Multiply + * + * \param f left hand statement. + * \param v right hand statement. + * \param r vector v scaled by f. + * \author Gabriel Peyré 2001-09-29 + */ + /*------------------------------------------------------------------------------*/ + static void GW_VectorND::Multiply(const GW_Float f, const GW_VectorND& v, GW_VectorND& r) + { + GW_ASSERT( v.GetDim() == r.GetDim() ); + + for( GW_U32 i=0; iGetDim() ); + GW_VectorND::Add( *this, v, Res ); + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::Add + * + * \param a left hand statement + * \param b right hand statement + * \param r result + * \author Gabriel Peyré 2001-09-29 + * + * Add the two vectOMLs. + */ + /*------------------------------------------------------------------------------*/ + static void GW_VectorND::Add(const GW_VectorND& a, const GW_VectorND& b, GW_VectorND& r) + { + GW_ASSERT( a.GetDim() == r.GetDim() ); + GW_ASSERT( b.GetDim() == r.GetDim() ); + + for( GW_U32 i=0; iGetDim() ); + GW_VectorND::Minus( *this, v, Res ); + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::Minus + * + * \param a left hand statement + * \param b right hand statement + * \param r result + * \author Gabriel Peyré 2001-09-29 + * + * Substract the two vectOMLs. + */ + /*------------------------------------------------------------------------------*/ + static void GW_VectorND::Minus(const GW_VectorND& a, const GW_VectorND& b, GW_VectorND& r) + { + GW_ASSERT( a.GetDim() == r.GetDim() ); + GW_ASSERT( b.GetDim() == r.GetDim() ); + + for( GW_U32 i=0; iGetDim() ); + GW_VectorND::UMinus( *this, Res ); + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::UMinus + * + * \param a right hand statement + * \param r result + * \author Gabriel Peyré 2001-09-29 + */ + /*------------------------------------------------------------------------------*/ + static void GW_VectorND::UMinus(const GW_VectorND& a, GW_VectorND& r) + { + GW_ASSERT( a.GetDim() == r.GetDim() ); + + for( GW_U32 i=0; iGetDim() == v.GetDim() ); + + GW_Float rDot=0; + for( GW_U32 i=0; iGetData(i)*v.GetData(i); + + return rDot; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::NormInf + * + * \return Infinite norm of the vector. + * \author Gabriel Peyré 2001-09-30 + * + * The infinte norm is the maximum of the absolute value of the coordonates. + */ + /*------------------------------------------------------------------------------*/ + GW_Float GW_VectorND::NormInf() + { + GW_Float rNorm = 0; + GW_Float rVal = 0; + for( GW_U32 i=0; iGetDim(); ++i ) + { + rVal = this->GetData(i); + if( rVal>rNorm ) + rNorm = rVal; + if( -rVal>rNorm ) + rNorm = -rVal; + } + + return rNorm; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::Norm2 + * + * \return Norm 2 of the vector. + * \author Gabriel Peyré 2001-09-30 + * + * The eclidian norm of the vector. + */ + /*------------------------------------------------------------------------------*/ + GW_Float GW_VectorND::Norm2() + { + GW_Float rNorm = 0; + GW_Float rVal = 0; + for( GW_U32 i=0; iGetDim(); ++i ) + { + rVal = this->GetData(i); + rNorm += rVal*rVal; + } + + return (GW_Float) sqrt( rNorm )/this->GetDim(); + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::Norm1 + * + * \return Norm 1 of the vector. + * \author Gabriel Peyré 2001-09-30 + * + * The norm 1 is the sum of the absolute value of the coords. + */ + /*------------------------------------------------------------------------------*/ + GW_Float GW_VectorND::Norm1() + { + GW_Float rNorm = 0; + for( GW_U32 i=0; iGetDim(); ++i ) + rNorm += GW_ABS( this->GetData(i) ); + + return rNorm/this->GetDim(); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::GetData + * + * \param i offset in the vector. + * \return the value of the given coord. + * \authOML Gabriel Peyré 2001-09-29 + */ + /*------------------------------------------------------------------------------*/ + GW_Float GW_VectorND::GetData(GW_U32 i) const + { + GW_ASSERT( iGetDim() ); + return (*this)[i]; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::SetData + * + * \param i offset in the vector. + * \param rVal value to set to this coord. + * \authOML Gabriel Peyré 2001-09-29 + */ + /*------------------------------------------------------------------------------*/ + void GW_VectorND::SetData(GW_U32 i, GW_Float rVal) + { + GW_ASSERT( iGetDim() ); + (*this)[i] = rVal; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::Randomize + * + * \param rMin=0 minimum value. + * \param rMax=1 maximum value. + * \author Gabriel Peyré 2001-09-29 + */ + /*------------------------------------------------------------------------------*/ + void GW_VectorND::Randomize(GW_Float rMin = 0, GW_Float rMax = 1) + { + for( GW_U32 i=0; iGetDim(); ++i ) + this->SetData( i, rMin + GW_RAND*(rMax-rMin) ); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::SetZero + * + * \author Gabriel Peyré 2001-09-29 + * + * set the vector to zero. + */ + /*------------------------------------------------------------------------------*/ + void GW_VectorND::SetZero() + { + this->SetValue(0.0); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::SetValue + * + * \param rVal the value to set to the vector. + * \author Gabriel Peyré 2001-09-29 + */ + /*------------------------------------------------------------------------------*/ + void GW_VectorND::SetValue(GW_Float rVal) + { + if( this->GetDim()>0 ) + { + for( GW_U32 i=0; iGetDim(); ++i ) + this->SetData(i,rVal); + } + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_VectorND", s); + + TestClassFooter("GW_VectorND", s); + } + +private: + +}; + + +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_VectorND::operator +* +* \param f Rigth hand statement +* \return the vector scaled. +* \author Gabriel Peyré 2001-09-29 +*/ +/*------------------------------------------------------------------------------*/ +inline +GW_VectorND operator*(const GW_Float& f, GW_VectorND& v) +{ + GW_VectorND Res( v.GetDim() ); + GW_VectorND::Multiply( f, v, Res ); + return Res; +} + +inline +std::ostream& operator<<(std::ostream &s, GW_VectorND& v) +{ + s << "GW_VectorND, size=" << v.GetDim() << " : " << endl; + cout << "|"; + for( GW_U32 j=0; j +// #include "GW_VectorND.h"// here + + +GW_BEGIN_NAMESPACE + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_VectorStatic + * \brief A vector of fixed size, with usefull operators and methods. + * \author Gabriel Peyré 2001-09-10 + * + * This class is used every where ... + * A lot of operator have been defined to make common maths operations, so use them ! + */ +/*------------------------------------------------------------------------------*/ + +template +class GW_VectorStatic +{ + +public: + + //------------------------------------------------------------------------- + /** \name constructors/destructor */ + //------------------------------------------------------------------------- + //@{ + GW_VectorStatic() + { + for( GW_U32 i=0; i v1; + for( GW_U32 i=0; i v1; + for( GW_U32 i=0; i v1; + for( GW_U32 i=0; iSquareNorm()); + } + /** Multiplication + \return The vector this multplied by \a f + \param f The 'v_type' to multiply the vector by. + **/ + GW_VectorStatic operator*( v_type f ) const + { + GW_VectorStatic v1; + for( GW_U32 i=0; iNorm(); + GW_Float d; + if( n!=0 ) d=1/n; + else d=0; + return (*this)*( (v_type) d); + } + + /** Comparison + \return false if the 2 vectors are the same (with an error of \a EPSILON) + \param V The vector to compare to + **/ + /* + GW_Bool operator!=( const GW_VectorStatic& V) const + { + for( int i=0; iGW_EPSILON ) return true; + return false; + } + */ + + /** Comparison + \return true if the 2 vectors are the same (with an error of \a EPSILON) + \param V The vector to compare to + **/ + /* + GW_Bool operator==( const GW_VectorStatic& V) const + { + for( GW_U32 i=0; iGW_EPSILON ) return false; + return false; + } + */ + + /** Division + Divide the vector by \a f + \param f The 'v_type' to divide the vector by + **/ + void operator/=(v_type f) + { + if( f!=0 ) + (*this) *= (v_type) 1/f; + } + + /** Division + \return The vector divided by \a f + \param f The 'v_type' to divide the vector by + **/ + GW_VectorStatic operator/(v_type f) const + { + if( f!=0 ) + { + GW_VectorStatic v1(*this); + v1 /= f; + return v1; + } + else + return GW_VectorStatic(); + } + + /** Mulitplication + Mulitply the vector by \a f + \param f The 'v_type' to multiply the vector by + **/ + void operator*=(v_type f) + { + for( GW_U32 i=0; iNorm(); + if( nSetZero(); + aCoords_[0] = 1; + } + else + (*this) /= n; + } + + GW_Float Norm() const + { + return ~(*this); + } + + /** compute the square of the norm */ + v_type SquareNorm() const + { + v_type r = 0; + for( GW_U32 i=0; iGetData(), 0, v_size*sizeof(v_type) ); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorStatic::SetValue + * + * \param rVal the value to set to the vector. + * \author Gabriel Peyré 2001-09-29 + */ + /*------------------------------------------------------------------------------*/ + void SetValue(v_type rVal) + { + this->SetCoord(rVal); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorStatic::Randomize + * + * \param rMin=0 minimum value. + * \param rMax=1 maximum value. + * \author Gabriel Peyré 2001-09-29 + */ + /*------------------------------------------------------------------------------*/ + void Randomize(v_type rMin = 0, v_type rMax = 1) + { + for( GW_U32 i=0; iSetData( i, (v_type) (GW_RAND_RANGE( rMin, rMax )) ); + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_VectorStatic", s); + cout << "Float based vectors ********************" << endl; + cout << "Test for creation :" << endl; + GW_VectorStatic v; + v.SetData(0,1); + v.SetData(1,1); + cout << v << endl; + cout << "Test for norm : " << endl; + cout << v.Norm() << endl; + cout << "Test for scale : " << endl; + cout << "v*2 : " << v*2 << " ... norm=" << (v*2).Norm() << "." << endl; + cout << "Test for rotation : " << endl; + GW_U32 n_rot = 8; + for( GW_U32 i=0; i<=n_rot; ++i ) + { + GW_Float a = GW_TWOPI/n_rot*i; + cout << "Angle " << a << " : " << v.Rotate(a, 0,1 ) << endl; + } + cout << "Test for soustraction : v-2*v" << endl; + cout << (v-v*2) << endl; + cout << "Test for addition : v+2*v" << endl; + cout << (v+v*2) << endl; + cout << "done." << endl; + + cout << "Integer based vectors ********************" << endl; + cout << "Test for creation (entry in [0,4]) :" << endl; + GW_VectorStatic vi; + vi.Randomize(0,5); + cout << vi << endl; + cout << "Square norm = " << vi.SquareNorm() << endl; + cout << "Addition v+2*v : " << (vi+vi*2) << endl; + TestClassFooter("GW_VectorStatic", s); + } + + +protected: + + /** Space coords (x,y) of the vector */ + v_type aCoords_[v_size]; + +}; + + +template +inline +std::ostream& operator<<(std::ostream &s, GW_VectorStatic &v) +{ + s << "GW_Vector" << v_size << "D : |"; + for( GW_U32 i=0; i +class GW_Complex: public std::complex +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_Complex(T& a, T& b):std::complex(a,b) {} + GW_Complex(T& a):std::complex(a,a) {} + GW_Complex():std::complex(0,0) {} + //@} + + GW_Complex& operator=(const T& b) + { + this->real(b); + this->imag(b); + return *this; + } + + T SquareModulus() const + { return this->real()*this->real()+this->imag()*this->imag(); } + T Modulus() const + { return ::sqrt(this->SquareModulus()); } + + GW_Complex Conjugate() const + { + return GW_Complex(this->real(),-this->imag()); + } + + + /** Complex class operators */ + GW_Complex operator/(const GW_Complex& b) const + { + GW_Float m = b.Modulus(); + if( m!=0 ) + return (*this)*b.Conjugate()/m; + } + void operator/(const GW_Complex& a) + { + (*this) = (*this)/a; + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_MatrixStatic", s); + GW_Complex x(1,1),y(3,2), z; + z = x/y; + z *= y; + GW_ASSERT( (z-x).Modulus() +struct gw_basic_type_traits< GW_Complex > +{ + static double SquareModulus(const GW_Complex& val) + { return (double) val.SquareModulus(); } + static double Modulus(const GW_Complex& val) + { return (double) val.Modulus(); } + /** must retrun a number at random between say [0,1] */ + static GW_Complex Random(const GW_Complex& min, const GW_Complex& max) + { + GW_Float r = GW_RAND_RANGE(min.real(),max.real()); + GW_Float i = GW_RAND_RANGE(min.imag(),max.imag()); + return GW_Complex( r, i ); + } + static const char* GetBasicTypeName() + { return "complex"; } + static GW_Bool IsInvertible(const GW_Complex& x) + { return (x.real()!=0 && x.imag()!=0); } +}; +#endif + +/** Pretty print. */ +template< class c_type > +inline +std::ostream& operator<<(std::ostream &s, GW_Complex& c) +{ + s << c.real() << "+i*" << c.imag(); + return s; +} + +} // End namespace GW + + +#endif // _GW_COMPLEX_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_Maths.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_Maths.h new file mode 100644 index 0000000..f18d6cb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_Maths.h @@ -0,0 +1,587 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Maths.h + * \brief Definition of class \c GW_Maths + * \author Gabriel Peyré + * \date 10-28-2002 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_MATHS_H_ +#define _GW_MATHS_H_ + +#include "GW_MathsConfig.h" +#include "GW_Vector3D.h" // here +#include "GW_Vector2D.h" +//#include "GW_MatrixNxP.h" +// #include "GW_VectorND.h" +// #include "GW_MatrixStatic.h" +// #include "GW_VectorStatic.h" + +GW_BEGIN_NAMESPACE + + +/** Numerical storage methods */ +GW_Float **matrix(long nrl, long nrh, long ncl, long nch); +void free_matrix(GW_Float **m, long nrl, long nrh, long ncl, long nch); +GW_Float *fvector(long nl, long nh); +void free_vector(GW_Float *v, long nl, long nh); +void ludcmp(GW_Float **a, GW_I32 n, GW_I32 *indx, GW_Float *d); +void lubksb(GW_Float **a, GW_I32 n, GW_I32 *indx, GW_Float b[]); + + + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_Maths + * \brief Basic Maths functions. + * \author Gabriel Peyré + * \date 10-28-2002 + * + * A bunch of useful functions to work on a sphere. Warning : All + * vectors are assumed to live un the sphere of radius 1 : the must + * be normalized. + */ +/*------------------------------------------------------------------------------*/ +class GW_Maths +{ + +public: + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::SphericalTriangleArea + /** + * \param v1 [GW_Vector3D&] Point of the triangle. + * \param v2 [GW_Vector3D&] Point of the triangle. + * \param v3 [GW_Vector3D&] Point of the triangle. + * \return [GW_Float] The area. + * \author Gabriel Peyré + * \date 10-28-2002 + * + * Compute the area of a spherical triangle. + */ + /*------------------------------------------------------------------------------*/ + GW_Float SphericalTriangleArea(const GW_Vector3D& v1, const GW_Vector3D& v2, const GW_Vector3D& v3) + { + // first find the cosine of the arc lengths + GW_Real64 cos_a = v2 * v3; + GW_Real64 cos_b = v1 * v3; + GW_Real64 cos_c = v1 * v2; + + // now the sine (positive since 0 <= a <= pi) + GW_Real64 sin_a = sqrt( 1. - cos_a * cos_a ); + GW_Real64 sin_b = sqrt( 1. - cos_b * cos_b ); + GW_Real64 sin_c = sqrt( 1. - cos_c * cos_c ); + + // now find the angles A, B, and C + GW_Real64 A = acos( ( cos_a - cos_b * cos_c ) / ( sin_b * sin_c ) ); + GW_Real64 B = acos( ( cos_b - cos_c * cos_a ) / ( sin_c * sin_a ) ); + GW_Real64 C = acos( ( cos_c - cos_a * cos_b ) / ( sin_a * sin_b ) ); + + return (GW_Float) ( A + B + C - GW_PI ); + } + + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::FlatTriangleArea + /** + * \param v1 [GW_Vector2D&] a point of the triangle. + * \param v2 [GW_Vector2D&] a point of the triangle. + * \param v3 [GW_Vector2D&] a point of the triangle. + * \return [GW_Float] The area + * \author Gabriel Peyré + * \date 10-28-2002 + * + * Compute the area of a plane triangle. + */ + /*------------------------------------------------------------------------------*/ + static GW_Float FlatTriangleArea(const GW_Vector2D& v1, const GW_Vector2D& v2, const GW_Vector2D& v3) + { + /* half the Z component of the cross product (v2-v1)^(v3-v1) */ + return 0.5f * GW_ABS( (v2[0]-v1[0])*(v3[1]-v1[1])-(v2[1]-v1[1])*(v3[0]-v1[0]) ); + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::FlatTriangleArea + /** + * \param v1 [GW_Vector3D&] a point of the triangle. + * \param v2 [GW_Vector3D&] a point of the triangle. + * \param v3 [GW_Vector3D&] a point of the triangle. + * \return [GW_Float] The area + * \author Gabriel Peyré + * \date 10-28-2002 + * + * Compute the area of a plane triangle. + */ + /*------------------------------------------------------------------------------*/ + static GW_Float FlatTriangleArea(const GW_Vector3D& v1, const GW_Vector3D& v2, const GW_Vector3D& v3) + { + return 0.5f * ~( (v2-v1)^(v3-v1) ); + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::FlatQuadrilaterArea + /** + * \param v1 [GW_Vector3D&] 1st point. + * \param v2 [GW_Vector3D&] 2nd point. + * \param v3 [GW_Vector3D&] 3rd point. + * \param v4 [GW_Vector3D&] 4th point. + * \return [GW_Float] Area. + * \author Gabriel Peyré + * \date 5-30-2003 + * + * Compute the area of a CONVEX quadrilater. + */ + /*------------------------------------------------------------------------------*/ + static GW_Float FlatQuadrilaterArea( const GW_Vector3D& v1, const GW_Vector3D& v2, const GW_Vector3D& v3, const GW_Vector3D& v4 ) + { + GW_Float rArea = 0; + rArea += GW_Maths::FlatTriangleArea(v1, v2, v3); + rArea += GW_Maths::FlatTriangleArea(v3, v4, v1); + return rArea; + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::FlatTriangleNormal + /** + * \param Normal [GW_Vector3D&] The return value. + * \param v1 [GW_Vector3D&] A point in the triangle. + * \param v2 [GW_Vector3D&] A point in the triangle. + * \param v3 [GW_Vector3D&] A point in the triangle. + * \author Gabriel Peyré + * \date 10-28-2002 + * + * Comute the normal of a triangle, assuming CW orientation. + */ + /*------------------------------------------------------------------------------*/ + static void FlatTriangleNormal(GW_Vector3D& Normal, const GW_Vector3D& v1, const GW_Vector3D& v2, const GW_Vector3D& v3) + { + Normal = (v2-v1)^(v3-v1); + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::ComputeTriangleArea + /** + * \param a [GW_Float] Length of a side. + * \param b [GW_Float] Length of a side. + * \param c [GW_Float] Length of a side. + * \return Area of the triangle. + * \author Gabriel Peyré + * \date 4-27-2003 + * + * Compute the area of a triangle using Heron rule. + */ + /*------------------------------------------------------------------------------*/ + static GW_Float ComputeTriangleArea( GW_Float a, GW_Float b, GW_Float c ) + { + GW_Float p = (GW_Float) 0.5*(a+b+c); + if( p*(p-a)*(p-b)*(p-c)<0 ) + return 0; + return (GW_Float) sqrt( p*(p-a)*(p-b)*(p-c) ); + } + + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::ConvertCartesianToSpherical + /** + * \param Pos [GW_Vector3D] Absolute position of the point. + * \param rLong [GW_Float&] Return value : longitude. + * \param rLat [GW_Float&] Return value : latitude. + * \author Gabriel Peyré + * \date 10-27-2002 + * + * Convert from absolute cartesian coords to polar coords + */ + /*------------------------------------------------------------------------------*/ + static void ConvertCartesianToSpherical(const GW_Vector3D& Pos, GW_Float& rLong, GW_Float& rLat) + { + GW_ASSERT( Pos[0] <= 1 ); + GW_ASSERT( Pos[0] >= -1 ); + GW_ASSERT( Pos[2] <= 1 ); + GW_ASSERT( Pos[2] >= -1 ); + + rLat = (GW_Float) asin( Pos[2] ); + + GW_Float rVal = (GW_Float) sqrt( Pos[0]*Pos[0] + Pos[1]*Pos[1] ); + if( rVal==0 ) + rLong = 0; + else + { + rVal = Pos[0]/rVal; + GW_ASSERT( rVal >= -1 ); + GW_ASSERT( rVal <= 1 ); + if( rVal < -1 ) + rVal = -1; + if( rVal > 1 ) + rVal = 1; + rLong = (GW_Float) acos( rVal ); + if( Pos[1]<0 ) + rLong = GW_TWOPI-rLong; + } + } + + static void SolveLU( GW_Float **a, GW_I32 n, GW_Float *b ) + { + GW_Float d; + GW_I32* indx = new GW_I32[n]; + ludcmp(a,n,indx-1,&d); + lubksb(a,n,indx-1,b); + GW_DELETEARRAY( indx ); + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::Fit2ndOrderPolynomial2D + /** + * \param Points[2][6] [GW_Float] Coordinates of the points. + * \param Values[6] [GW_Float] Value of the function. + * \param Coeffs[6] [GW_Float] Coefficients. + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Find the coefficients of a 2nd order 2D polynomial that pass + * through 6 points. The coefficients are given in that order : + * cst, X, Y, XY, X^2, Y^2. + */ + /*------------------------------------------------------------------------------*/ + static void Fit2ndOrderPolynomial2D( const GW_Float Points[6][2], const GW_Float Values[6], GW_Float Coeffs[6] ) + { + /* build the matrix */ + GW_Float** M = matrix(1,6,1,6); + + for( GW_U32 i=0; i<6; ++i ) + Coeffs[i] = Values[i]; + for( GW_U32 i=1; i<=6; ++i ) + { + GW_Float x = Points[i-1][0]; + GW_Float y = Points[i-1][1]; + M[i][1] = 1; + M[i][2] = x; + M[i][3] = y; + M[i][4] = x*y; + M[i][5] = x*x; + M[i][6] = y*y; + } + GW_Maths::SolveLU( (GW_Float**) M, 6, Coeffs-1 ); + + free_matrix( M, 1,6,1,6 ); + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::ComputeLocalGeodesicParameter + /** + * \param x [GW_Float&] 1st geodesic coord in LOCAL COORDS + * \param y [GW_Float&] 2nd geodesic coord in LOCAL COORDS + * \param z [GW_Float&] 3rd geodesic coord in LOCAL COORDS + * \param a [GW_Float] 1st geodesic coord GLOBAL COORDS + * \param b [GW_Float] 2nd geodesic coord GLOBAL COORDS + * \param c [GW_Float] 3rd geodesic coord GLOBAL COORDS + * \param a0 [GW_Float] 1st geodesic coord GLOBAL COORDS + * \param b0 [GW_Float] 2nd geodesic coord GLOBAL COORDS + * \param c0 [GW_Float] 3rd geodesic coord GLOBAL COORDS + * \param a1 [GW_Float] 1st geodesic coord GLOBAL COORDS + * \param b1 [GW_Float] 2nd geodesic coord GLOBAL COORDS + * \param c1 [GW_Float] 3rd geodesic coord GLOBAL COORDS + * \param a2 [GW_Float] 2nd geodesic coord GLOBAL COORDS + * \param b2 [GW_Float] 3rd geodesic coord GLOBAL COORDS + * \param c2 [GW_Float] 3rd geodesic coord GLOBAL COORDS + * \return >=0 if the conversion was successful, <0 otherwise. + * \author Gabriel Peyré + * \date 4-30-2003 + * + * Convert from global parametric coords to local ones. + */ + /*------------------------------------------------------------------------------*/ + static GW_I32 ComputeLocalGeodesicParameter( GW_Float& x, GW_Float& y, GW_Float& z, + GW_Float a, GW_Float b, GW_Float c, + GW_Float a0, GW_Float b0, GW_Float c0, + GW_Float a1, GW_Float b1, GW_Float c1, + GW_Float a2, GW_Float b2, GW_Float c2 ) + { + /* the system to solve is : + [a0 a1 a2] [x] [a] + [b0 b1 b2]*[y] = [b] + [c0 c1 c2] [z] [c] + Using x+y+z = 1, this becomes : + [a0-a2 a1-a2] [x] [a-a2] + [b0-b2 b1-b2]*[y] = [b-b2] + */ + GW_Float m00 = a0-a2; + GW_Float m01 = a1-a2; + GW_Float m10 = b0-b2; + GW_Float m11 = b1-b2; + GW_Float rDet = m00*m11-m01*m10; + a = a - a2; // rhs modification + b = b - b2; + // GW_ASSERT( rDet!=0 ); + /* The inverse of the matrix is : + [m11 -m01] + [-m10 m00] * 1/rDet */ + if( GW_ABS(rDet)>GW_EPSILON ) + { + x = 1/rDet * ( m11*a - m01*b ); + y = 1/rDet * (-m10*a + m00*b ); + z = 1 - x - y; + } + else + { + x = y = z = -GW_INFINITE; + return -1; + } + return 0; + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_Maths::TestClass + /** + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Test the class. + */ + /*------------------------------------------------------------------------------*/ + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_Maths", s); + GW_Float Points[6][2]; + GW_Float Values[6]; + GW_Float Coeffs[6]; + for( GW_U32 i=0; i<6; ++i ) + { + Points[i][0] = GW_RAND; + Points[i][1] = GW_RAND; + Values[i] = GW_RAND; + } + GW_Maths::Fit2ndOrderPolynomial2D( Points, Values, Coeffs ); + for( GW_U32 i=0; i<6; ++i ) + { + GW_Float x = Points[i][0]; + GW_Float y = Points[i][1]; + GW_Float t = Coeffs[0] + Coeffs[1]*x + Coeffs[2]*y + Coeffs[3]*x*y + + Coeffs[4]*x*x + Coeffs[5]*y*y; + GW_ASSERT( GW_ABS(t-Values[i]) + inline + static void Convert(GW_VectorND& a, const GW_VectorStatic& b) + { + a.Reset( v_size ); + for( GW_U32 i=0; i + inline + static void Convert(GW_MatrixNxP& a, const GW_MatrixStatic& b) + { + a.Reset( r_size, c_size ); + for( GW_U32 i=0; i + inline + static void Convert(GW_VectorStatic& a, const GW_VectorND& b) + { + GW_ASSERT( v_size==b.GetDim() ); + for( GW_U32 i=0; i + inline + static void Convert( GW_MatrixStatic& a, const GW_MatrixNxP& b) + { + GW_ASSERT( r_size==b.GetNbrRows() && c_size==b.GetNbrCols() ); + for( GW_U32 i=0; i big) big = (GW_Float) temp; + GW_ASSERT(big != 0.0); + vv[i] = (GW_Float) 1.0/big; + } + for (j=1;j<=n;j++) + { + for (i=1;i= big) + { + big=dum; + imax=i; + } + } + if (j != imax) + { + for (k=1;k<=n;k++) + { + dum=a[imax][k]; + a[imax][k]=a[j][k]; + a[j][k]=dum; + } + *d = -(*d); + vv[imax]=vv[j]; + } + indx[j]=imax; + if (a[j][j] == 0.0) a[j][j]=GW_EPSILON; + if (j != n) + { + dum=1.0/(a[j][j]); + for (i=j+1;i<=n;i++) a[i][j] *= dum; + } + } + free_vector( vv, 1, n ); +} + +/************************************************************************/ +/* + Solves the set of n linear equations A·X = B. Here a[1..n][1..n] is input, not as the matrix + A but rather as its LU decomposition, determined by the routine ludcmp. indx[1..n] is input + as the permutation vector returned by ludcmp. b[1..n] is input as the right-hand side vector + B, and returns with the solution vector X. a, n, and indx are not modi?ed by this routine + and can be left in place for successive calls with di?erent right-hand sides b. This routine takes + into account the possibility that b will begin with many zero elements, so it is e?cient for use + in matrix inversion. +*/ +/************************************************************************/ +inline +void lubksb(GW_Float **a, GW_I32 n, GW_I32 *indx, GW_Float b[]) +{ + GW_I32 i,ii=0,ip,j; + GW_Float sum; + for( i=1;i<=n;i++ ) + { + ip=indx[i]; + sum=b[ip]; + b[ip]=b[i]; + if (ii) + { + for (j=ii;j<=i-1;j++) + sum -= a[i][j]*b[j]; + } + else + { + if (sum) + ii=i; + } + b[i]=sum; + } + for( i=n;i>=1;i-- ) + { + sum=b[i]; + for (j=i+1;j<=n;j++) + sum -= a[i][j]*b[j]; + b[i]=sum/a[i][i]; + } +} + + +GW_END_NAMESPACE + + +#endif // _GW_MATHS_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_MathsConfig.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_MathsConfig.h new file mode 100644 index 0000000..82affd9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_MathsConfig.h @@ -0,0 +1,362 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Config.h + * \brief Main configuration file. + * \author Gabriel Peyré + * \date 10-26-2002 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_MATHSCONFIG_H_ +#define _GW_MATHSCONFIG_H_ + + +//------------------------------------------------------------------------- +/** \name C++ STL */ +//------------------------------------------------------------------------- +//@{ +#include +#include +#include +#include +#include +#include +#include +#include +using std::string; +using std::cerr; +using std::cout; +using std::endl; +//@} + +//------------------------------------------------------------------------- +/** \name classical ANSI c libraries */ +//------------------------------------------------------------------------- +//@{ + +#include +#include +#include +#include +#include +#include +//#include +#include +//#include +#include +#include +//#include +//@} +/* +#ifdef GW_DEBUG + #pragma comment(lib, "laspack_dbg.lib") +#else + #pragma comment(lib, "laspack.lib") +#endif // GW_DEBUG +*/ +namespace GW { + + +//------------------------------------------------------------------------- +/** \name debug & inline directive */ +//------------------------------------------------------------------------- +//@{ +#ifdef _DEBUG + #ifndef GW_DEBUG + #define GW_DEBUG + #endif // GW_DEBUG +#endif // _DEBUG + +#ifndef GW_DEBUG + #ifndef GW_USE_INLINE + #define GW_USE_INLINE + #endif // GW_USE_INLINE +#endif // GW_DEBUG + +#ifdef GW_USE_INLINE + #ifndef GW_INLINE + #define GW_INLINE inline + #endif // GWION3D_INLINE +#else + #ifndef GW_INLINE + #define GW_INLINE + #endif // GW_INLINE +#endif // GW_USE_INLINE +//@} + +//------------------------------------------------------------------------- +/** \name Name space management */ +//------------------------------------------------------------------------- +//@{ +#define GW_BEGIN_NAMESPACE namespace GW { +#define GW_END_NAMESPACE } +//@} + +//------------------------------------------------------------------------- +/** \name Basic types */ +//------------------------------------------------------------------------- +//@{ +#ifdef __UNIX__ + typedef char GW_I8; + typedef unsigned char GW_U8; + typedef short GW_I16; + typedef unsigned short GW_U16; + typedef long GW_I32; + typedef unsigned long GW_U32; + typedef long long int GW_I64; + typedef unsigned long long int GW_U64; + typedef float GW_Real32; + typedef double GW_Real64; + typedef bool GW_Bool; + typedef GW_Real64 GW_Float; +#elif defined (WIN32) + typedef char GW_I8; + typedef unsigned char GW_U8; + typedef short GW_I16; + typedef unsigned short GW_U16; + typedef long GW_I32; + typedef unsigned long GW_U32; + // typedef __int64 GW_I64; + // typedef unsigned __int64 GW_U64; + typedef float GW_Real32; + typedef double GW_Real64; + typedef bool GW_Bool; + typedef GW_Real64 GW_Float; +#elif defined (_PS2_) + typedef char GW_I8; + typedef unsigned char GW_U8; + typedef short GW_I16; + typedef unsigned short GW_U16; + typedef int GW_I32; + typedef unsigned int GW_U32; + typedef long long GW_I64; + typedef unsigned long long GW_U64; + typedef float GW_Real32; + typedef double GW_Real64; + typedef GW_I8 GW_Bool; + typedef GW_Real64 GW_Float; +#else + #error "Unknown architecture !" +#endif + + typedef void* GW_UserData; + + /** value returned by function to indicates error GW GW_OK */ + typedef GW_I32 GW_RETURN_CODE; + +//@} + + +//------------------------------------------------------------------------- +/** \name numerical macros */ +//------------------------------------------------------------------------- +//@{ +#undef MIN +#undef MAX +#define MIN(a, b) ((a) < (b) ? (a) : (b)) //!< Returns the min value between a and b +#define MAX(a, b) ((a) > (b) ? (a) : (b)) //!< Returns the max value between a and b +#define MAXMAX(a,b,c) ((a) > (b) ? MAX (a,c) : MAX (b,c)) +#define GW_MIN(a, b) MIN(a,b) //!< Returns the min value between a and b +#undef GW_MAX // already defined by Windows.h ... +#define GW_MAX(a, b) MAX(a,b) //!< Returns the max value between a and b +#define GW_MAXMAX(a,b,c) MAXMAX(a,b,c) + +#define GW_SCALE_01(x,rMin,rMax) ((x-rMin)/(rMax-rMin)) + +#define GW_ABS(a) ((a) > 0 ? (a) : -(a)) //!< Returns the absolute value a + +#define SQR(x) ((x)*(x)) //!< Returns x square +#define CUBE(x) ((x)*(x)*(x)) //!< Returns x cube +#define GW_SQR(x) SQR(x) //!< Returns x square +#define GW_CUBE(x) CUBE(x) //!< Returns x cube + +#define GW_CLAMP_01(x) if( (x)<0 ) x=0; if( (x)>1 ) x=1 +#define GW_CLAMP(x, a,b) if( (x)b ) x=b + +#define GW_SWAP(x,y) x^=y; y^=x; x^=y +#define GW_ORDER(x,y) if(x>y){ GW_SWAP(x,y); } +//@} + +//------------------------------------------------------------------------- +/** \name generic macros */ +//------------------------------------------------------------------------- +//@{ +/** a random number in [0-1] */ +#define GW_RAND ((GW_Float) (rand()%10000))/10000 +/** a random number in [a,b] */ +#define GW_RAND_RANGE(a,b) (a)+((b)-(a))*((GW_Float) (rand()%10000))/10000 +/** delete a single pointer */ +#define GW_DELETE(p) {if (p!=NULL) delete p; p=NULL;} +/** delete an array pointer */ +#define GW_DELETEARRAY(p) {if (p!=NULL) delete [] p; p=NULL;} +//@} + +//------------------------------------------------------------------------- +/** \name some constants */ +//------------------------------------------------------------------------- +//@{ +#define GW_True true +#define GW_False false +/** to make aproximate computations (derivation, GW_Float comparaisons ...) */ +#define GW_EPSILON 1e-9 +/** very big number */ +#define GW_INFINITE 1e9 +/** The temporary file we use to launch debug test involving stream I/O */ +#define GW_TEST_FILE "test.bin" +//@} + +//------------------------------------------------------------------------- +/** \name numerical constants */ +//------------------------------------------------------------------------- +//@{ +/** pi */ +#define GW_PI 3.1415926535897932384626433832795028841971693993751f +/** pi/2 */ +#define GW_HALFPI 1.57079632679489661923f +/** 2*pi */ +#define GW_TWOPI 6.28318530717958647692f +/** 1/pi */ +#define GW_INVPI 0.31830988618379067154f +/** 180/pi */ +#define GW_RADTODEG(x) (x)*57.2957795130823208768f +/** pi/180 */ +#define GW_DEGTORAD(x) (x)*0.01745329251994329577f +/** e */ +#define GW_EXP 2.71828182845904523536f +/** 1/log10(2) */ +#define GW_ILOG2 3.32192809488736234787f +/** 1/3 */ +#define GW_INV3 0.33333333333333333333f +/** 1/6 */ +#define GW_INV6 0.16666666666666666666f +/** 1/9 */ +#define GW_INV7 0.14285714285714285714f +/** 1/9 */ +#define GW_INV9 0.11111111111111111111f +/** 1/255 */ +#define GW_INV255 0.00392156862745098039f +/** sqrt(2) */ +#define GW_SQRT2 1.41421356237f +//@} + +//------------------------------------------------------------------------- +/** \name assertion macros */ +//------------------------------------------------------------------------- +//@{ +#ifdef GW_DEBUG + #ifndef GW_ASSERT + #define GW_ASSERT(expr) _ASSERT(expr) + #endif + #ifndef GW_DEBUG_ONLY + #define GW_DEBUG_ONLY(expr) expr + #endif +#else + #ifndef GW_ASSERT + #define GW_ASSERT(expr) if(!(expr)) cerr << "Error in file " << __FILE__ << " line " << __LINE__ << "." << endl + #endif + #ifndef GW_DEBUG_ONLY + #define GW_DEBUG_ONLY(expr) + #endif +#endif // GW_DEBUG +//@} + +//------------------------------------------------------------------------- +/** \name GW return codes */ +//------------------------------------------------------------------------- +//@{ +#define GW_OK 0 +#define GW_ERROR -9 +#define GW_Invalid_Argument -10 +#define GW_Unknown_Argument -11 +#define GW_Error_Opening_File -14 +#define GW_Error_File_Not_Supported -15 +#define GW_Error_Argument_OutOfRange -17 +#define GW_Error_Buffer_OverFlow -18 +//@} + +/** coordinates */ +#ifndef _GW_CONFIG_H_ +enum GW_Coord_XYZW +{ + X, Y, Z, W +}; +#endif + +/** header and footer for tests */ +inline +void TestClassHeader(const char* class_name, std::ostream &s) +{ + s << "---------------------------------------------------------" << endl; + s << "Begining test for class " << class_name << " ..." << endl; +} +inline +void TestClassFooter(const char* class_name, std::ostream &s) +{ + s << "Test successful for class " << class_name << "." << endl; +} + + +#if 1 +/** Traits class. This is the basic traits from wich each + implementation for standard traits (float, double, etc) will use. + Gives default implementations. */ +template +struct gw_basic_type_traits +{ + static numT SquareModulus(const numT& val) + { return val*val; } + static numT Modulus(const numT& val) + { return GW_ABS(val); } + /** A value used for equality test. */ + numT Epsilon() + { return 1e-9; } + /** must retrun a number at random between say [0,1] */ + static numT Random(const numT& min, const numT& max) + { return GW_RAND_RANGE(min,max); } + static const char* GetBasicTypeName() + { return NULL; } + static GW_Bool IsInvertible(const numT& x) + { return x!=0; } +}; +template <> +struct gw_basic_type_traits +{ + static GW_Float SquareModulus(const GW_Float& val) + { return val*val; } + /** A value used for equality test. */ + static GW_Float Epsilon() + { return 1e-9; } + /** must retrun a number at random between say [0,1] */ + static GW_Float Random(const GW_Float& min, const GW_Float& max) + { return GW_RAND_RANGE(min,max); } + static const char* GetBasicTypeName() + { return NULL; } +}; +template <> +struct gw_basic_type_traits +{ + /** A value used for equality test. */ + static double Epsilon() + { return 1e-5; } + /** must retrun a number at random between say [0,1] */ + static int Random(const int& min, const int& max) + { + #pragma warning( disable : 4244 ) + return (int) GW_RAND_RANGE(min,max+1); + } + static const char* GetBasicTypeName() + { return "int"; } +}; +#endif + +} // End namespace GW + +#ifdef GW_DEBUG +#define new new(_NORMAL_BLOCK,__FILE__, __LINE__) +#endif + +#endif // _GW_CONFIG_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (C) 2009 Gabriel Peyre \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_Matrix2x2.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_Matrix2x2.h new file mode 100644 index 0000000..291827e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_Matrix2x2.h @@ -0,0 +1,215 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Matrix2x2.h + * \brief Definition of class \c GW_Matrix2x2 + * \author Gabriel Peyré 2001-09-18 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef __GW_Matrix2x2_h_ +#define __GW_Matrix2x2_h_ + +#include "GW_MathsConfig.h" +#include "GW_Maths.h" +#include "GW_MatrixStatic.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_Matrix2x2 + * \brief A matrix of dimension 3. + * \author Gabriel Peyré 2001-09-18 + * + * A 3x3 transformation matrix. Warning : NOT THE SAME PACKING THAN OPENGL + * (here we use *row* major convention) + */ +/*------------------------------------------------------------------------------*/ + +class GW_Matrix2x2: public GW_MatrixStatic<2,2,GW_Float> +{ + +public: + + GW_Matrix2x2(): GW_MatrixStatic<2,2,GW_Float>() {} + GW_Matrix2x2(const GW_MatrixStatic<2,2,GW_Float>& m): GW_MatrixStatic<2,2,GW_Float>(m) {} + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix2x2 constructor + * + * \author Gabriel Peyré 2001-11-06 + * + * Initialize the matrix with given coordinates. + */ + /*------------------------------------------------------------------------------*/ + GW_Matrix2x2( GW_Float m00, GW_Float m01, + GW_Float m10, GW_Float m11 ) + { + aData_[0][0]=m00; aData_[0][1]=m01; + aData_[1][0]=m10; aData_[1][1]=m11; + } + + GW_Matrix2x2( GW_Vector2D& v1, GW_Vector2D& v2 ) + { + aData_[0][0]=v1[0]; aData_[0][1]=v2[0]; + aData_[1][0]=v1[1]; aData_[1][1]=v2[1]; + } + + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix2x2::SetData + * + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void SetData( GW_Float m00, GW_Float m01, + GW_Float m10, GW_Float m11 ) + { + aData_[0][0]=m00; aData_[0][1]=m01; + aData_[1][0]=m10; aData_[1][1]=m11; + } + + void SetData( GW_U32 i, GW_U32 j, GW_Float r ) + { + GW_ASSERT( i<2 && j<2 ); + aData_[i][j] = r; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix2x2::Invert + * + * \param a matrix to invert + * \param r result. + * \author Gabriel Peyré 2001-11-06 + * + * Use of Cramer formula for speed up in dimension 2. + */ + /*------------------------------------------------------------------------------*/ + static void Invert(const GW_Matrix2x2& a, GW_Matrix2x2& r) + { + GW_Float det = a.GetData(0,0)*a.GetData(1,1) - a.GetData(1,0)*a.GetData(0,1); + if( det==0 ) + return; + det = 1/det; + r.SetData(0,0, det*a.GetData(1,1)); + r.SetData(1,0, -det*a.GetData(1,0)); + r.SetData(0,1, -det*a.GetData(0,1)); + r.SetData(1,1, det*a.GetData(0,0)); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix2x2::Invert + * + * \return the inverse of the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Matrix2x2 Invert() const + { + GW_Matrix2x2 r; + GW_Matrix2x2::Invert(*this, r); + return r; + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : AutoInvert + * + * \author Gabriel Peyré 2001-11-06 + * + * Invert the matrix. + */ + /*------------------------------------------------------------------------------*/ + void AutoInvert() + { + GW_Matrix2x2 r; + GW_Matrix2x2::Invert(*this, r); + (*this) = r; + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix2x2::GetX + * + * \return X vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Vector2D GetX() const + { + return this->GetColumn(X); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix2x2::GetY + * + * \return Y vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Vector2D GetY() const + { + return this->GetColumn(Y); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix2x2::SetX + * + * \param v X vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void SetX( const GW_Vector2D& v) + { + return this->SetColumn(v,X); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix2x2::SetX + * + * \param v Y vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void SetY( const GW_Vector2D& v) + { + return this->SetColumn(v,Y); + } + + /** solve the linear system A*x=b */ + void Solve( GW_Vector2D& x, const GW_Vector2D& b ) const + { + GW_Matrix2x2 M = this->Invert(); + x = M*b; + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_Matrix2x2", s); + cout << "Test for matrix inversion : " << endl; + GW_Matrix2x2 M; + M.Randomize(); + cout << "Matrix M = " << M << endl; + GW_Matrix2x2 MM = M.Invert(); + cout << "Matrix M^-1 = " << MM << endl; + GW_Float err = (M*MM - GW_Matrix2x2()).Norm2(); + cout << "|| MM^-1 - ID ||_2 = " << err << endl; + GW_ASSERT( err +{ + +public: + + GW_Matrix3x3(): GW_MatrixStatic<3,3,GW_Float>() {} + GW_Matrix3x3(const GW_MatrixStatic<3,3,GW_Float>& m): GW_MatrixStatic<3,3,GW_Float>(m) {} + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3 constructor + * + * \author Gabriel Peyré 2001-11-06 + * + * Initialize the matrix with given coordinates. + */ + /*------------------------------------------------------------------------------*/ + GW_Matrix3x3( GW_Float m00, GW_Float m01, GW_Float m02, + GW_Float m10, GW_Float m11, GW_Float m12, + GW_Float m20, GW_Float m21, GW_Float m22 ) + { + aData_[0][0]=m00; aData_[0][1]=m01; aData_[0][2]=m02; + aData_[1][0]=m10; aData_[1][1]=m11; aData_[1][2]=m12; + aData_[2][0]=m20; aData_[2][1]=m21; aData_[2][2]=m22; + } + + GW_Matrix3x3( GW_Vector3D& v1, GW_Vector3D& v2, GW_Vector3D& v3 ) + { + aData_[0][0]=v1[0]; aData_[0][1]=v2[0]; aData_[0][2]=v3[0]; + aData_[1][0]=v1[1]; aData_[1][1]=v2[1]; aData_[1][2]=v3[1]; + aData_[1][0]=v1[2]; aData_[2][1]=v2[2]; aData_[2][2]=v3[2]; + } + + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::SetData + * + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void SetData( GW_Float m00, GW_Float m01, GW_Float m02, + GW_Float m10, GW_Float m11, GW_Float m12, + GW_Float m20, GW_Float m21, GW_Float m22 ) + { + aData_[0][0]=m00; aData_[0][1]=m01; aData_[0][2]=m02; + aData_[1][0]=m10; aData_[1][1]=m11; aData_[1][2]=m12; + aData_[2][0]=m20; aData_[2][1]=m21; aData_[2][2]=m22; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::Invert + * + * \param a matrix to invert + * \param r result. + * \author Gabriel Peyré 2001-11-06 + * + * Use of Cramer formula for speed up in dimension 3. + */ + /*------------------------------------------------------------------------------*/ + #define ACCESS(i,j) aData[j*3+i] + #define ACCESS_R(i,j) aResData[j*3+i] + #define SUBDET(i0,j0, i1,j1) ( ACCESS(j0,i0)*ACCESS(j1,i1) - ACCESS(j1,i0)*ACCESS(j0,i1) ) + static void Invert(const GW_Matrix3x3& a, GW_Matrix3x3& r) + { + const GW_Float* aData = a.GetData(); + GW_Float* aResData = r.GetData(); + + /* cofactor */ + GW_Float c00, c01, c02, + c10, c11, c12, + c20, c21, c22; + + c00 = SUBDET(1,1, 2,2); + c01 =-SUBDET(1,0, 2,2); + c02 = SUBDET(1,0, 2,1); + + c10 =-SUBDET(0,1, 2,2); + c11 = SUBDET(0,0, 2,2); + c12 =-SUBDET(0,0, 2,1); + + c20 = SUBDET(0,1, 1,2); + c21 =-SUBDET(0,0, 1,2); + c22 = SUBDET(0,0, 1,1); + + /* compute 3x3 determinant & its reciprocal */ + GW_Float rDet = ACCESS(0,0)*c00 + ACCESS(1,0)*c01 + ACCESS(2,0)*c02; + if (rDet == 0.0f) + { + /* the aData can't be inverted */ + return; + } + + rDet = 1.0f/rDet; + + ACCESS_R(0,0) = c00*rDet; + ACCESS_R(0,1) = c01*rDet; + ACCESS_R(0,2) = c02*rDet; + + ACCESS_R(1,0) = c10*rDet; + ACCESS_R(1,1) = c11*rDet; + ACCESS_R(1,2) = c12*rDet; + + ACCESS_R(2,0) = c20*rDet; + ACCESS_R(2,1) = c21*rDet; + ACCESS_R(2,2) = c22*rDet; + + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::Invert + * + * \return the inverse of the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Matrix3x3 Invert() const + { + GW_Matrix3x3 r; + GW_Matrix3x3::Invert(*this, r); + return r; + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : AutoInvert + * + * \author Gabriel Peyré 2001-11-06 + * + * Invert the matrix. + */ + /*------------------------------------------------------------------------------*/ + void AutoInvert() + { + GW_Matrix3x3 r; + GW_Matrix3x3::Invert(*this, r); + (*this) = r; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::RotateX + * + * \param val rotation angle. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void RotateX(GW_Float val) + { + GW_Float Sin = (GW_Float) sin(val), + Cos = (GW_Float) cos(val); + GW_Vector3D tmp = this->GetY()*Cos + this->GetZ()*Sin; + this->SetZ(-this->GetY()*Sin + this->GetZ()*Cos); + this->SetY(tmp); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::RotateX + * + * \param val rotation angle. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void RotateY(GW_Float val) + { + GW_Float Sin = (GW_Float) sin(val), + Cos = (GW_Float) cos(val); + GW_Vector3D tmp = this->GetX()*Cos + this->GetZ()*Sin; + this->SetZ(-this->GetX()*Sin + this->GetZ()*Cos); + this->SetX(tmp); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::RotateX + * + * \param val rotation angle. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void RotateZ(GW_Float val) + { + GW_Float Sin = (GW_Float) sin(val), + Cos = (GW_Float) cos(val); + GW_Vector3D tmp = this->GetX()*Cos + this->GetY()*Sin; + this->SetY(-this->GetX()*Sin + this->GetY()*Cos); + this->SetX(tmp); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::RotateX + * + * \param val rotation angle. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void Rotate(GW_Coord_XYZW axe, GW_Float val) + { + switch (axe) + { + case X: + this->RotateX(val); + break; + case Y: + this->RotateY(val); + break; + case Z: + this->RotateZ(val); + break; + case W: + break; + }; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::RotateX + * + * \param val rotation angle. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void RotateAbsX(GW_Float val) + { + GW_Float Sin = (GW_Float) sin(val), + Cos = (GW_Float) cos(val); + GW_Float tmp; + for( GW_I32 i=0; i<=2; ++i ) + { + tmp = aData_[i][Y]*Cos-aData_[i][Z]*Sin; + aData_[i][Z] = aData_[i][Y]*Sin+aData_[i][Z]*Cos; + aData_[i][Y] = tmp; + } + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::RotateX + * + * \param val rotation angle. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void RotateAbsY(GW_Float val) + { + GW_Float Sin = (GW_Float) sin(val), + Cos = (GW_Float) cos(val); + GW_Float tmp; + for( GW_I32 i=0; i<=2; ++i ) + { + tmp = aData_[i][X]*Cos + aData_[i][Z]*Sin; + aData_[i][Z] = -aData_[i][X]*Sin + aData_[i][Z]*Cos; + aData_[i][X] = tmp; + } + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::RotateX + * + * \param val rotation angle. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void RotateAbsZ(GW_Float val) + { + GW_Float Sin = (GW_Float) sin(val), + Cos = (GW_Float) cos(val); + GW_Float tmp; + for( GW_I32 i=0; i<=2; ++i ) + { + tmp = aData_[i][X]*Cos - aData_[i][Y]*Sin; + aData_[i][Y] = aData_[i][X]*Sin + aData_[i][Y]*Cos; + aData_[i][X] = tmp; + } + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::RotateX + * + * \param val rotation angle. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void RotateAbs(GW_Coord_XYZW axe, GW_Float val) + { + switch (axe) + { + case X: + this->RotateAbsX(val); + break; + case Y: + this->RotateAbsY(val); + break; + case Z: + this->RotateAbsZ(val); + break; + case W: + break; + }; + } + + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::GetX + * + * \return X vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Vector3D GetX() const + { + return this->GetColumn(X); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::GetY + * + * \return Y vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Vector3D GetY() const + { + return this->GetColumn(Y); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::GetZ + * + * \return Z vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Vector3D GetZ() const + { + return this->GetColumn(Z); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::SetX + * + * \param v X vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void SetX( const GW_Vector3D& v) + { + return this->SetColumn(v,X); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::SetX + * + * \param v Y vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void SetY( const GW_Vector3D& v) + { + return this->SetColumn(v,Y); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix3x3::SetZ + * + * \param v Z vector of the basis defined by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void SetZ( const GW_Vector3D& v) + { + return this->SetColumn(v,Z); + } + + /** solve the linear system A*x=b */ + void Solve( GW_Vector3D& x, const GW_Vector3D& b ) const + { + GW_Matrix3x3 M = this->Invert(); + x = M*b; + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_Matrix3x3", s); + cout << "Test for matrix inversion : " << endl; + GW_Matrix3x3 M; + M.Randomize(); + cout << "Matrix M = " << M << endl; + GW_Matrix3x3 MM = M.Invert(); + cout << "Matrix M^-1 = " << MM << endl; + GW_Float err = (M*MM - GW_Matrix3x3()).Norm2(); + cout << "|| MM^-1 - ID ||_2 = " << err << endl; + GW_ASSERT( err +{ + +public: + + GW_Matrix4x4(): GW_MatrixStatic<4,4,GW_Float>() {} + GW_Matrix4x4(const GW_MatrixStatic<4,4,GW_Float>& m): GW_MatrixStatic<4,4,GW_Float>(m) {} + + GW_Matrix4x4( GW_Float m00, GW_Float m01, GW_Float m02, GW_Float m03, + GW_Float m10, GW_Float m11, GW_Float m12, GW_Float m13, + GW_Float m20, GW_Float m21, GW_Float m22, GW_Float m23, + GW_Float m30, GW_Float m31, GW_Float m32, GW_Float m33 ) + { + aData_[0][0]=m00; aData_[0][1]=m01; aData_[0][2]=m02; aData_[0][3]=m03; + aData_[1][0]=m10; aData_[1][1]=m11; aData_[1][2]=m12; aData_[1][3]=m13; + aData_[2][0]=m20; aData_[2][1]=m21; aData_[2][2]=m22; aData_[2][3]=m23; + aData_[3][0]=m30; aData_[3][1]=m31; aData_[3][2]=m32; aData_[3][3]=m33; + } + + void SetData( GW_Float m00, GW_Float m01, GW_Float m02, GW_Float m03, + GW_Float m10, GW_Float m11, GW_Float m12, GW_Float m13, + GW_Float m20, GW_Float m21, GW_Float m22, GW_Float m23, + GW_Float m30, GW_Float m31, GW_Float m32, GW_Float m33 ) + { + aData_[0][0]=m00; aData_[0][1]=m01; aData_[0][2]=m02; aData_[0][3]=m03; + aData_[1][0]=m10; aData_[1][1]=m11; aData_[1][2]=m12; aData_[1][3]=m13; + aData_[2][0]=m20; aData_[2][1]=m21; aData_[2][2]=m22; aData_[2][3]=m23; + aData_[3][0]=m30; aData_[3][1]=m31; aData_[3][2]=m32; aData_[3][3]=m33; + } + + void SetData( GW_U32 i, GW_U32 j, GW_Float r ) + { + GW_ASSERT( i<4 && j<4 ); + aData_[i][j] = r; + } + + /** Invert, assuming the matrix is *ORTHOGONAL* */ + void AutoOrthoInvert() + { + GW_Matrix4x4 r; + OrthoInvert(*this, r); + (*this) = r; + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : OrthoInvert + * + * \return The inverse of an orthogonal matrix. + * \author Gabriel Peyré 2001-08-04 + * + * Compute the inverse the matrix, assuming that it's an orthogonal matrix. + */ + /*------------------------------------------------------------------------------*/ + static void OrthoInvert(const GW_Matrix4x4& a, GW_Matrix4x4& r) + { + /* the inverse translation : -A^(-1)*t + +--------+ +--+ + |00 01 02| |30| + -|10 11 12|*|31| + |20 21 22| |32| + +--------+ +--+ + */ + GW_Float t0=a.aData_[0][0]*a.aData_[3][0]+a.aData_[0][1]*a.aData_[3][1]+a.aData_[0][2]*a.aData_[3][2]; + GW_Float t1=a.aData_[1][0]*a.aData_[3][0]+a.aData_[1][1]*a.aData_[3][1]+a.aData_[1][2]*a.aData_[3][2]; + GW_Float t2=a.aData_[2][0]*a.aData_[3][0]+a.aData_[2][1]*a.aData_[3][1]+a.aData_[2][2]*a.aData_[3][2]; + /* the matrix is supposed to be orthogonal !!!!! */ + r.SetData( + a.aData_[0][0], a.aData_[0][1], a.aData_[0][2], -t0, + a.aData_[1][0], a.aData_[1][1], a.aData_[1][2], -t1, + a.aData_[2][0], a.aData_[2][1], a.aData_[2][2], -t2, + a.aData_[0][3], a.aData_[1][3], a.aData_[2][3], a.aData_[3][3]); + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix4x4::TransformOnZ + * + * \param x X component of the orginal vector. + * \param y Y component of the orginal vector. + * \param z Z component of the orginal vector. + * \return The X coordinate of the oringal vector tranformed by the matrix. + * \author Gabriel Peyré 2001-10-30 + * + * This speed up computation when you only needs depth information (used by + * the alpha pipeline). + */ + /*------------------------------------------------------------------------------*/ + GW_Float TransformOnZ(GW_Float x, GW_Float y, GW_Float z) + { + return aData_[0][2]*x + aData_[1][2]*y + aData_[2][2]*z + aData_[3][2]; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix4x4::TransformOnZ + * + * \param v the orginal vector. + * \return The X coordinate of the oringal vector tranformed by the matrix. + * \author Gabriel Peyré 2001-10-30 + * + * This speed up computation when you only needs depth information (used by + * the alpha pipeline). + */ + /*------------------------------------------------------------------------------*/ + GW_Float TransformOnZ(GW_Vector3D& v) + { + return aData_[0][2]*v[X] + aData_[1][2]*v[Y] + aData_[2][2]*v[Z] + aData_[3][2]; + } + + void RotateX(GW_Float val) + { + GW_Float Sin=(GW_Float) sin(val), + Cos=(GW_Float) cos(val); + GW_Vector3D tmp=GetY()*Cos+GetZ()*Sin; + SetZ(-GetY()*Sin+GetZ()*Cos); + SetY(tmp); + } + + void RotateY(GW_Float val) + { + GW_Float Sin=(GW_Float) sin(val), + Cos=(GW_Float) cos(val); + GW_Vector3D tmp=GetX()*Cos+GetZ()*Sin; + SetZ(-GetX()*Sin+GetZ()*Cos); + SetX(tmp); + } + + void RotateZ(GW_Float val) + { + GW_Float Sin=(GW_Float) sin(val), + Cos=(GW_Float) cos(val); + GW_Vector3D tmp=GetX()*Cos+GetY()*Sin; + SetY(-GetX()*Sin+GetY()*Cos); + SetX(tmp); + } + + void Rotate(GW_U32 axe, GW_Float val) + { + switch (axe) + { + case X: + RotateX(val); + break; + case Y: + RotateY(val); + break; + case Z: + RotateZ(val); + break; + case W: + break; + }; + } + + void RotateAbsX(GW_Float val) + { + GW_Float Sin=(GW_Float) sin(val), + Cos=(GW_Float) cos(val); + GW_Float tmp; + for (GW_I32 i=0; i<=2; i++) + { + tmp=aData_[i][Y]*Cos-aData_[i][Z]*Sin; + aData_[i][Z]=aData_[i][Y]*Sin+aData_[i][Z]*Cos; + aData_[i][Y]=tmp; + } + } + + void RotateAbsY(GW_Float val) + { + GW_Float Sin=(GW_Float) sin(val), + Cos=(GW_Float) cos(val); + GW_Float tmp; + for (GW_I32 i=0; i<=2; i++) + { + tmp=aData_[i][X]*Cos+aData_[i][Z]*Sin; + aData_[i][Z]=-aData_[i][X]*Sin+aData_[i][Z]*Cos; + aData_[i][X]=tmp; + } + } + + void RotateAbsZ(GW_Float val) + { + GW_Float Sin=(GW_Float) sin(val), + Cos=(GW_Float) cos(val); + GW_Float tmp; + for (GW_I32 i=0; i<=2; i++) + { + tmp=aData_[i][X]*Cos-aData_[i][Y]*Sin; + aData_[i][Y]=aData_[i][X]*Sin+aData_[i][Y]*Cos; + aData_[i][X]=tmp; + } + } + + void RotateAbs(GW_U32 axe, GW_Float val) + { + switch (axe) + { + case X: + RotateAbsX(val); + break; + case Y: + RotateAbsY(val); + break; + case Z: + RotateAbsZ(val); + break; + case W: + break; + }; + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix4x4::GetRotation + * + * \return The rotation part of the matrix. + * \author Gabriel Peyré 2001-08-04 + * + * Compute a matrix without the translation (last column). + */ + /*------------------------------------------------------------------------------*/ + GW_Matrix3x3 GetRotation() + { + GW_Matrix3x3 M( this->GetData(0,0), this->GetData(0,1), this->GetData(0,2), + this->GetData(1,0), this->GetData(1,1), this->GetData(1,2), + this->GetData(2,0), this->GetData(2,1), this->GetData(2,2) ); + return M; + } + + //----------------------------------------------------------------------------- + // Name: GW_Matrix4x4::GetCoords + /** + * @return a pointer on the datas of the matrix + */ + /// \author Gabriel Peyré 2001-08-30 + //----------------------------------------------------------------------------- + GW_Float* GetCoords() const + { + return (GW_Float*) aData_; + } + + + //----------------------------------------------------------------------------- + // Name: GW_Matrix4x4::SetCoords + /** + * Set the different elements of the matrix. + */ + /// \author Gabriel Peyré 2001-08-31 + //----------------------------------------------------------------------------- + void SetCoords( + GW_Float m00, GW_Float m10, GW_Float m20, GW_Float m30, + GW_Float m01, GW_Float m11, GW_Float m21, GW_Float m31, + GW_Float m02, GW_Float m12, GW_Float m22, GW_Float m32, + GW_Float m03, GW_Float m13, GW_Float m23, GW_Float m33) + { + aData_[0][0]=m00; aData_[0][1]=m01; aData_[0][2]=m02; aData_[0][3]=m03; + aData_[1][0]=m10; aData_[1][1]=m11; aData_[1][2]=m12; aData_[1][3]=m13; + aData_[2][0]=m20; aData_[2][1]=m21; aData_[2][2]=m22; aData_[2][3]=m23; + aData_[3][0]=m30; aData_[3][1]=m31; aData_[3][2]=m32; aData_[3][3]=m33; + } + void AutoScaleTranslation(GW_Float v) + { + aData_[3][0] *= v; + aData_[3][1] *= v; + aData_[3][2] *= v; + } + + void UnScale() + { + GW_Float l = ::sqrt(aData_[0][0]*aData_[0][0] + aData_[0][1]*aData_[0][1] + aData_[0][2]*aData_[0][2] ); + if( l!=0 ) + { + aData_[0][0] /= l; + aData_[0][1] /= l; + aData_[0][2] /= l; + } + l = ::sqrt(aData_[1][0]*aData_[1][0] + aData_[1][1]*aData_[1][1] + aData_[1][2]*aData_[1][2] ); + if( l!=0 ) + { + aData_[1][0] /= l; + aData_[1][1] /= l; + aData_[1][2] /= l; + } + l = ::sqrt(aData_[2][0]*aData_[2][0] + aData_[2][1]*aData_[2][1] + aData_[2][2]*aData_[2][2] ); + if( l!=0 ) + { + aData_[2][0] /= l; + aData_[2][1] /= l; + aData_[2][2] /= l; + } + + } + + /* scale operations **************************************************/ + void AutoScale( const GW_Vector3D& v) + { + for(GW_U32 i=0; i<3; ++i) + for(GW_U32 j=0; j<4; ++j) + aData_[i][j] *= v[i]; + } + void AutoScale( GW_U32 axe, GW_Float v ) + { + for(GW_U32 i=0; i<4; ++i) + aData_[axe][i] *= v; + } + + + GW_Matrix4x4 operator +( const GW_Vector3D& v ) + { + GW_Matrix4x4 r = *this; + r.aData_[3][0] += v[0]; + r.aData_[3][2] += v[1]; + r.aData_[3][1] += v[2]; + } + void operator +=( const GW_Vector3D& v ) + { + aData_[3][0] += v[0]; + aData_[3][2] += v[1]; + aData_[3][1] += v[2]; + } + /* translation by a vector */ + void Translate( const GW_Vector3D& v) + { + (*this) += v; + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix4x4::SetScale + * + * \param rScale the new scale value. + * \author Gabriel Peyré 2001-10-23 + */ + /*------------------------------------------------------------------------------*/ + void SetScale(GW_Float rScale) + { + GW_ASSERT( rScale>GW_EPSILON ); + aData_[3][3] = rScale; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix4x4::GetScale + * + * \return The scale factors + * \author Antoine Bouthors 2002-09-03 + * + */ + /*------------------------------------------------------------------------------*/ + GW_Vector3D GetScale() const + { + return GW_Vector3D( aData_[X][X], aData_[Y][Y], aData_[Z][Z] ); + } + + + void Translate(GW_U32 axe, GW_Float v) + { + aData_[3][axe]+=v; + } + + GW_Vector3D GetX() const + { + return GW_Vector3D((GW_Float*) aData_[X]); + } + + GW_Vector3D GetY() const + { + return GW_Vector3D((GW_Float*) aData_[Y]); + } + + GW_Vector3D GetZ() const + { + return GW_Vector3D((GW_Float*) aData_[Z]); + } + + void SetX( const GW_Vector3D& v) + { + aData_[0][0]=v[0]; + aData_[0][1]=v[1]; + aData_[0][2]=v[2]; + } + + void SetY( const GW_Vector3D& v) + { + aData_[1][0]=v[0]; + aData_[1][1]=v[1]; + aData_[1][2]=v[2]; + } + + void SetZ( const GW_Vector3D& v) + { + aData_[2][0]=v[0]; + aData_[2][1]=v[1]; + aData_[2][2]=v[2]; + } + + void SetTranslation( const GW_Vector3D& v) + { + aData_[3][X] = v[X]; + aData_[3][Y] = v[Y]; + aData_[3][Z] = v[Z]; + } + + void SetTranslation(GW_Coord_XYZW axe, GW_Float v) + { + aData_[3][axe]=v; + } + + void SetScale( const GW_Vector3D& v) + { + aData_[X][X] = v[X]; + aData_[Y][Y] = v[Y]; + aData_[Z][Z] = v[Z]; + } + + void SetScale(GW_Coord_XYZW axe, GW_Float v) + { + aData_[axe][axe]=v; + } + + void SetRotation( const GW_Matrix3x3& m) + { + for( GW_U32 i=0; i<3; ++i ) + for( GW_U32 j=0; j<3; ++j ) + this->SetData(i,j, m.GetData(i,j) ); + } + + GW_Vector3D GetTranslation() + { + return GW_Vector3D(aData_[3][0], aData_[3][1], aData_[3][2]); + } + + GW_Float* GetTranslationPtr() + { + return aData_[3]; + } + + void ReComputeBasis_GivenX( GW_Vector3D v) + { + /* re-nGWm v */ + v.Normalize(); + SetX(v); + /* re-compute a basis */ + GW_Vector3D axe_z=v^GetY(); + GW_Float n=~(axe_z); + if (nInvert(); + GW_MatrixStatic<4,4,GW_Float>::Multiply( M, b, x ); + } + + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Matrix4x4::* + * + * \return The product of the matrix by a vectGW. + * \param v The result of the product. + * \author Gabriel Peyré 2001-08-04 + */ + /*------------------------------------------------------------------------------*/ + GW_Vector3D operator*( const GW_Vector3D& v) + { + return GW_Vector3D( + aData_[0][0]*v[0]+aData_[1][0]*v[1]+aData_[2][0]*v[2]+aData_[3][0], + aData_[0][1]*v[0]+aData_[1][1]*v[1]+aData_[2][1]*v[2]+aData_[3][1], + aData_[0][2]*v[0]+aData_[1][2]*v[1]+aData_[2][2]*v[2]+aData_[3][2]); + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_Matrix4x4", s); + cout << "Test for matrix inversion : " << endl; + GW_Matrix4x4 M; + M.Randomize(); + cout << "Matrix M = " << M << endl; + GW_Matrix4x4 MM = M.Invert(); + cout << "Matrix M^-1 = " << MM << endl; + GW_Float err = (M*MM - GW_Matrix4x4()).Norm2(); + cout << "|| MM^-1 - ID ||_2 = " << err << endl; + GW_ASSERT( err GW_TNTArray2D; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_MatrixNxP + * \brief A matrix of arbitrary size. + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Use \b TNT library. + */ +/*------------------------------------------------------------------------------*/ + +class GW_MatrixNxP: public GW_TNTArray2D +{ + +public: + + GW_MatrixNxP() :GW_TNTArray2D(){} + GW_MatrixNxP(GW_U32 m, GW_U32 n) :GW_TNTArray2D((int) m,(int) n){} + GW_MatrixNxP(GW_U32 m, GW_U32 n, GW_Float *a) :GW_TNTArray2D((int) m,(int) n,a){} + GW_MatrixNxP(GW_U32 m, GW_U32 n, const GW_Float &a) :GW_TNTArray2D((int) m,(int) n,a){} + GW_MatrixNxP(const GW_MatrixNxP &A) :GW_TNTArray2D(A){} + + void Reset( GW_U32 i, GW_U32 j ) + { + ((GW_TNTArray2D&) (*this)) = GW_TNTArray2D((int) i, (int) j); + } + + GW_U32 GetNbrRows() const { return this->dim1(); } + GW_U32 GetNbrCols() const { return this->dim2(); } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::GetData + * + * \param i row number + * \param j col number + * \return value of the (i,j) data. + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + GW_Float GW_MatrixNxP::GetData(GW_U32 i, GW_U32 j) const + { + GW_ASSERT( iGetNbrRows() && jGetNbrCols() ); + return (*this)[i][j]; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::SetData + * + * \param i row number + * \param j col number + * \param rVal value + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::SetData(GW_U32 i, GW_U32 j, GW_Float rVal) + { + GW_ASSERT( iGetNbrRows() && jGetNbrCols() ); + (*this)[i][j] = rVal; + } + + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::operator * + * + * \param m right hand side + * \return multiplication this*m + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + GW_MatrixNxP GW_MatrixNxP::operator*(const GW_MatrixNxP& m) + { + GW_ASSERT( this->GetNbrCols() == m.GetNbrRows() ); + GW_MatrixNxP Res( this->GetNbrRows(), m.GetNbrCols() ); + GW_MatrixNxP::Multiply( *this, m, Res ); + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::Multiply + * + * \param a right side + * \param b left side + * \param r result + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + static void GW_MatrixNxP::Multiply(const GW_MatrixNxP& a, const GW_MatrixNxP& b, GW_MatrixNxP& r) + { + GW_ASSERT( a.GetNbrCols() == b.GetNbrRows() ); + GW_ASSERT( r.GetNbrRows() == a.GetNbrRows() ); + GW_ASSERT( r.GetNbrCols() == b.GetNbrCols() ); + + GW_Float rVal; + + for( GW_U32 i=0; iGetNbrRows(), this->GetNbrCols() ); + GW_MatrixNxP::Multiply( *this, m, Tmp ); + (*this) = Tmp; + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::GW_MatrixNxP operator* + /** + * \param s [GW_Float] scalar. + * \author Gabriel Peyré + * \date 6-1-2003 + * + * Matrix times scalar operator. + */ + /*------------------------------------------------------------------------------*/ + GW_MatrixNxP GW_MatrixNxP::operator*(GW_Float s) + { + GW_MatrixNxP m( this->GetNbrRows(), this->GetNbrCols() ); + GW_MatrixNxP::Multiply(*this, s, m); + return m; + } + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::Multiply + /** + * \param a [GW_MatrixNxP&] The matrix. + * \param s [GW_Float] The scalar. + * \param r [GW_MatrixNxP&] The result. + * \author Gabriel Peyré + * \date 6-1-2003 + * + * Matrix times scalar. + */ + /*------------------------------------------------------------------------------*/ + static void GW_MatrixNxP::Multiply(const GW_MatrixNxP& a, const GW_Float s, GW_MatrixNxP& r) + { + GW_ASSERT( a.GetNbrCols()==r.GetNbrCols() && r.GetNbrRows()==r.GetNbrRows() ); + + for( GW_U32 i=0; iGetNbrRows(), this->GetNbrCols() ); + GW_MatrixNxP::Divide(*this, s, m); + return m; + } + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::Divide + /** + * \param a [GW_MatrixNxP&] The matrix. + * \param s [GW_Float] The scalar. + * \param r [GW_MatrixNxP&] The result. + * \author Gabriel Peyré + * \date 6-1-2003 + * + * Matrix divided by scalar. + */ + /*------------------------------------------------------------------------------*/ + static void GW_MatrixNxP::Divide(const GW_MatrixNxP& a, const GW_Float s, GW_MatrixNxP& r) + { + if( s==0 ) + return; + GW_ASSERT( a.GetNbrCols()==r.GetNbrCols() && r.GetNbrRows()==r.GetNbrRows() ); + + for( GW_U32 i=0; iGetNbrRows() ); + GW_MatrixNxP::Multiply( *this, v, Res ); + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::Multiply + * + * \param a left hand statement. + * \param v Right hand statement. + * \param r Result. + * \author Gabriel Peyré 2001-09-30 + * + * Multiply the vector by the matrix. + */ + /*------------------------------------------------------------------------------*/ + static void GW_MatrixNxP::Multiply(const GW_MatrixNxP& a, const GW_VectorND& v, GW_VectorND& r) + { + GW_ASSERT( a.GetNbrRows() == r.GetDim() ); + GW_ASSERT( a.GetNbrCols() == v.GetDim() ); + + GW_Float rVal; + + for( GW_U32 i=0; iGetNbrCols(), this->GetNbrRows() ); + GW_MatrixNxP::Transpose( *this, Res ); + + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::Transpose + * + * \param a Right side + * \param r Result + * \return Transposed matrix. + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::Transpose(const GW_MatrixNxP& a, GW_MatrixNxP& r) + { + GW_ASSERT( a.GetNbrCols()==r.GetNbrRows() && r.GetNbrCols()==r.GetNbrRows() ); + + for( GW_U32 i=0; iGetNbrRows(), this->GetNbrCols() ); + GW_MatrixNxP::Add( *this, m, Res ); + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::Add + * + * \param a left hand side + * \param b right hand side + * \param r result = a+b + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::Add(const GW_MatrixNxP& a, const GW_MatrixNxP& b, GW_MatrixNxP& r) + { + GW_ASSERT( a.GetNbrCols()==b.GetNbrCols() && a.GetNbrRows()==b.GetNbrRows() ); + GW_ASSERT( a.GetNbrCols()==r.GetNbrCols() && a.GetNbrRows()==r.GetNbrRows() ); + + for( GW_U32 i=0; iGetNbrRows(), this->GetNbrCols() ); + GW_MatrixNxP::Minus( *this, m, Res ); + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::Minus + * + * \param a left hand side + * \param b right hand side + * \param r result = a-b + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::Minus(const GW_MatrixNxP& a, const GW_MatrixNxP& b, GW_MatrixNxP& r) + { + GW_ASSERT( a.GetNbrCols()==b.GetNbrCols() && a.GetNbrRows()==b.GetNbrRows() ); + GW_ASSERT( a.GetNbrCols()==r.GetNbrCols() && a.GetNbrRows()==r.GetNbrRows() ); + + for( GW_U32 i=0; iGetNbrRows(), this->GetNbrCols() ); + GW_MatrixNxP::UMinus( *this, Res ); + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::UMinus + * + * \param a right side + * \param r result + * \author Gabriel Peyré 2001-09-19 + * + * unary minus. + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::UMinus(const GW_MatrixNxP& a, GW_MatrixNxP& r) + { + GW_ASSERT( a.GetNbrCols()==r.GetNbrCols() && a.GetNbrRows()==r.GetNbrRows() ); + + for( GW_U32 i=0; iGetNbrRows(), this->GetNbrCols() ); + GW_MatrixNxP::Add( *this, m, Tmp ); + (*this) = Tmp; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::-=(const + * + * \param m right side + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::operator-=(const GW_MatrixNxP & m) + { + GW_MatrixNxP Tmp( this->GetNbrRows(), this->GetNbrCols() ); + GW_MatrixNxP::Minus( *this, m, Tmp ); + (*this) = Tmp; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::SetZero + * + * \return set all component of the matrix to zero. + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::SetZero() + { + this->SetValue(0); + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::SetValue + * + * \param rVal value to set. + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::SetValue(GW_Float rVal) + { + GW_ASSERT( this->GetNbrCols()>0 && this-GetNbrRows()>0 ); + for( GW_U32 i=0; iGetNbrRows(); ++i ) + for( GW_U32 j=0; jGetNbrCols(); ++j ) + this->SetData( i, j, rVal ); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixNxP::Randomize + * + * \param rMin minimum value + * \param rMax maximum value + * \author Gabriel Peyré 2001-09-19 + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::Randomize(GW_Float rMin = 0, GW_Float rMax = 1) + { + GW_ASSERT( this->GetNbrRows()>0 && this->GetNbrCols()>0 ); + for( GW_U32 i=0; iGetNbrRows(); ++i ) + for( GW_U32 j=0; jGetNbrCols(); ++j ) + this->SetData( i, j, rMin + GW_RAND*(rMax-rMin) ); + } + + + + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::LU + /** + * \param L [GW_MatrixNxP&] The \c L matrix. + * \param U [GW_MatrixNxP&] The \c U matrix. + * \param P [GW_VectorND&] Permutations of the columns. + * \return [GW_Float] Determinant. + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Perform an LU decomposition of the matrix. + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::LU( GW_MatrixNxP& L, GW_MatrixNxP& U, GW_VectorND& P ) + { + JAMA::LU lu( *this ); + U = (GW_MatrixNxP&) lu.getU(); + L = (GW_MatrixNxP&) lu.getL(); + P = (GW_VectorND&) lu.getPivot(); + } + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::LUSolve + /** + * \param x [GW_VectorND&] Solution. + * \param b [GW_VectorND&] RHS + * \return [GW_Bool] Is the system inversible ? + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Solve a linear system Ax=b with LU decomposition. + */ + /*------------------------------------------------------------------------------*/ + GW_Bool GW_MatrixNxP::LUSolve( GW_VectorND& x, const GW_VectorND& b ) + { + JAMA::LU lu( *this ); + if( lu.isNonsingular() ) + { + x = (GW_VectorND&) lu.solve(b); + return x.dim()!=0; + } + else + return GW_False; + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::Cholesky + /** + * \param L [GW_MatrixNxP&] The result, lower triangular matrix. + * \return [GW_Bool] \c true if the decomposition was a success, \c false if the matrix is not + * symmetric definite positive. + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Perform the Cholesky decomposition of the matrix M =AA^* + */ + /*------------------------------------------------------------------------------*/ + GW_Bool GW_MatrixNxP::Cholesky( GW_MatrixNxP& L ) + { + JAMA::Cholesky chol( *this ); + + L = (GW_MatrixNxP&) chol.getL(); + + return chol.is_spd()==1; + } + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::CholeskySolve + /** + * \param x [GW_VectorND&] Solution. + * \param b [GW_VectorND&] RHS. + * \return [GW_Bool] Was the inversion a success ? + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Solve using Cholesky. + */ + /*------------------------------------------------------------------------------*/ + GW_Bool GW_MatrixNxP::CholeskySolve( GW_VectorND& x, const GW_VectorND& b ) + { + JAMA::Cholesky chol( *this ); + if( chol.is_spd() ) + { + x = (GW_VectorND&) chol.solve( b ); + return x.dim()!=0; + } + else + return GW_False; + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::QR + /** + * \param Q [GW_MatrixNxP&] The Q matrix. + * \param R [GW_MatrixNxP&] The R matrix. + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Perform QR decomposition. + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::QR( GW_MatrixNxP& Q, GW_MatrixNxP& R ) + { + JAMA::QR qr( *this ); + Q = (GW_MatrixNxP&) qr.getQ(); + R = (GW_MatrixNxP&) qr.getR(); + } + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::QRSolve + /** + * \param x [GW_VectorND&] solution. + * \param b [GW_VectorND&] RHS. + * \return [GW_Bool] Was the process sucessful ? + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Solve a linear system using QR decomposition. + */ + /*------------------------------------------------------------------------------*/ + GW_Bool GW_MatrixNxP::QRSolve( GW_VectorND& x, const GW_VectorND& b ) + { + JAMA::QR qr( *this ); + if( !qr.isFullRank() ) + return GW_False; + else + { + x = (GW_VectorND&) qr.solve(b); + return x.dim()!=0; + } + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::Eigenvalue + /** + * \param V [GW_MatrixNxP&] The change of basis matrix. + * \param pD [GW_MatrixNxP*] A block diagonal matrix (diagonal if eigenvalues are real). + * \param pRealEig [GW_VectorND*] The real part of the eigenvalues. + * \param pImagEig [GW_VectorND*] The imaginary part of the eigenvalues. + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Perform eigen-decomposition A = V D V^*. + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::Eigenvalue( GW_MatrixNxP& V, GW_MatrixNxP* pD, GW_VectorND* pRealEig, GW_VectorND* pImagEig ) + { + JAMA::Eigenvalue eig( *this ); + eig.getV(V); + if( pD!=NULL ) + eig.getD(*pD); + if( pRealEig!=NULL ) + eig.getRealEigenvalues(*pRealEig); + if( pImagEig!=NULL ) + eig.getImagEigenvalues(*pImagEig); + } + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::SVD + /** + * \param U [GW_MatrixNxP&] U orthogonal matrix + * \param V [GW_MatrixNxP&] the right singular vectors. + * \param pSingV [GW_VectorND*] The singular values. + * \param pS [GW_MatrixNxP*] Diagonal matrix of singular values. + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Compute SVD decomposition, ie A + */ + /*------------------------------------------------------------------------------*/ + void GW_MatrixNxP::SVD( GW_MatrixNxP& U, GW_MatrixNxP& V, GW_VectorND* pSingV, GW_MatrixNxP* pS ) + { + JAMA::SVD svd( *this ); + svd.getU( U ); + svd.getV( V ); + if( pSingV!=NULL ) + svd.getSingularValues( *pSingV ); + if( pS!=NULL ) + svd.getS( *pS ); + } + + + /*------------------------------------------------------------------------------*/ + // Name : GW_MatrixNxP::TestClass + /** + * \author Gabriel Peyré + * \date 6-1-2003 + * + * Test the class. + */ + /*------------------------------------------------------------------------------*/ + static void GW_MatrixNxP::TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_MatrixNxP", s); + const GW_U32 n = 50; + + GW_MatrixNxP m(n,n); + m.Randomize(); + + GW_VectorND v(n), x(n), b(n); + v.Randomize(); + b.Randomize(); + + m.LUSolve( x, b ); + GW_Float err = ( m*x-b ).Norm2(); + GW_ASSERT( err > +class GW_MatrixStatic +{ + + /** Traits parameterization of the class. */ + typedef traits traits_type; + double Epsilon() + { return traits_type::Epsilon(); } + + /** To iterate some code on the data. */ + #define ITERATE(i,j, code ) \ + for(GW_U32 i=0; iLoadIdentity(); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic constructor + * + * \param m original matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_MatrixStatic(const GW_MatrixStatic& m) + { + memcpy(aData_, m.GetData(), this->GetMemorySize() ); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : copy operator + * + * \param m original matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_MatrixStatic& operator = (const GW_MatrixStatic &m) + { + memcpy(aData_, m.GetData(), this->GetMemorySize() ); + return *this; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic destructor + * + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + virtual ~GW_MatrixStatic() + { + /* NOTHING */ + } + + static GW_U32 GetMemorySize() + { + return r_size*c_size*sizeof(v_type); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Multiply + * + * \param a right hand matrix. + * \return vector transformed by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_VectorStatic operator*(const GW_VectorStatic& v) const + { + GW_VectorStatic r; + GW_MatrixStatic::Multiply( *this, v, r ); + return r; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Multiply + * + * \param a right hand matrix. + * \param v left hand vector. + * \param r vector transformed by the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + static void Multiply(const GW_MatrixStatic& a, const GW_VectorStatic& v, GW_VectorStatic& r) + { + v_type rTemp =0; + for(GW_U32 i=0; i& a, GW_MatrixStatic& r) + { + ITERATE(i,j, r.SetData(i,j, a.GetData(i,j)*rScale); ); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::AutoScale + * + * \param rFactor scaling factor. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void AutoScale(v_type rFactor) + { + GW_MatrixStatic::Scale( rFactor, *this, *this ); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::operator* + * + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_MatrixStatic operator*(v_type v) const + { + GW_MatrixStatic r; + GW_MatrixStatic::Scale( v, *this, r ); + return r; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Scale + * + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_MatrixStatic operator/(v_type v) const + { + GW_ASSERT(v!=0); + if( v==0 ) + return; + GW_MatrixStatic r; + GW_MatrixStatic::Scale( 1/v, *this, r ); + return r; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Scale + * + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void operator*=(v_type v) + { + GW_MatrixStatic::Scale( v, *this, *this ); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Scale + * + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void operator/=(v_type v) + { + GW_ASSERT( v!=0 ); + if( v==0 ) + return; + GW_MatrixStatic::Scale( 1/v, *this, *this ); + } + + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Invert + * + * \param a matrix to invert + * \param r result. + * \author Gabriel Peyré 2001-11-06 + * + * Use the LU factorisation to solve the system. + */ + /*------------------------------------------------------------------------------*/ + static void Invert(const GW_MatrixStatic& a, GW_MatrixStatic& r) + { + GW_ASSERT( c_size==r_size ); + GW_MatrixNxP M(c_size,c_size); + GW_Maths::Convert( M, a ); + GW_VectorND b(c_size); + GW_VectorND x(c_size); + GW_VectorStatic xstatic; + for( GW_U32 i=0; iSetData( r.GetData() ); + } + + + /** Solve the linear system A*x=b */ + void Solve( GW_VectorStatic& x, const GW_VectorStatic& b ) const + { + GW_MatrixNxP M(c_size,r_size); + GW_Maths::Convert( M, *this ); + GW_VectorND bdynamic(c_size); + GW_Maths::Convert( bdynamic, b ); + GW_VectorND xdynamic(c_size); + + M.LUSolve( xdynamic, bdynamic ); + + GW_Maths::Convert(x, xdynamic); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Transpose + * + * \param a original matrix. + * \param r result. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + static void Transpose(const GW_MatrixStatic& a, GW_MatrixStatic& r) + { + ITERATE(i,j, r.SetData(j,i, a.GetData(i,j)); ) + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::AutoTranspose + * + * \author Gabriel Peyré 2001-11-06 + * + * Transpose the matrix. Must be square ! + */ + /*------------------------------------------------------------------------------*/ + void AutoTranspose() + { + GW_ASSERT( r_size==c_size ); + GW_MatrixStatic r; + GW_MatrixStatic::Transpose(*this, r); + (*this) = r; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Transpose + * + * \return transoped matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_MatrixStatic Transpose() const + { + GW_MatrixStatic r; + GW_MatrixStatic::Transpose(*this, r); + return r; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::GetData + * + * \return the data of the matrix (v_type[c_size*r_size]). + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + const v_type* GetData() const + { + return (v_type*) aData_; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::GetData + * + * \return the data of the matrix (v_type[c_size*r_size]). + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + v_type* GetData() + { + return (v_type*) aData_; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::GetData + * + * \param i row number. + * \param j col number. + * \return value of the matrix at place (i,j) + * \author Gabriel Peyré 2001-11-06 + * + * Get an element of the matrix. + */ + /*------------------------------------------------------------------------------*/ + v_type GetData(GW_I32 i, GW_I32 j) const + { + GW_ASSERT(iGetMemorySize() ); + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::GetRow + * + * \return Row vector of the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_VectorStatic GetRow( GW_U32 i ) const + { + GW_ASSERT(i v; + for( GW_U32 j=0; jGetData(i,j); + return v; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::GetColumn + * + * \return Column vector of the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_VectorStatic GetColumn( GW_U32 j ) const + { + GW_ASSERT( j v; + for( GW_U32 i=0; iGetData(i,j); + return v; + } + + /** access a row in raw format, use it at your own risk (i.e. M[i][j]) */ + v_type* operator[](GW_U32 i) + { + GW_ASSERT( i& v, GW_U32 i ) + { + GW_ASSERT( iSetData(i,j, v[j]); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::SetColumn + * + * \param v A column of the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void SetColumn( const GW_VectorStatic& v, GW_U32 j ) + { + GW_ASSERT( jSetData(i,j, v[i]); + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::SetZero + * + * \author Gabriel Peyré 2001-11-06 + * + * Set all data to zero. + */ + /*------------------------------------------------------------------------------*/ + void SetZero() + { + memset( aData_, 0, this->GetMemorySize() ); + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::LoadIdentity + * + * \author Gabriel Peyré 2001-11-06 + * + * Set the matrix to the identity. + */ + /*------------------------------------------------------------------------------*/ + void LoadIdentity() + { + ITERATE(i,j, + if( i==j ) aData_[i][j]=1; + else aData_[i][j]=0; + ) + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::SetValue + * + * \param rVal value to set to the whole matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void SetValue(v_type rVal) + { + memset( aData_, rVal, this->GetMemorySize() ); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Randomize + * + * \param rMin minimum value + * \param rMax maximum value + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + void Randomize(v_type rMin=0, v_type rMax=1) + { + ITERATE(i,j, this->SetData( i, j, traits::Random( rMin, rMax) ); ); + } + + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Norm1 + * + * \return pseuo-norm 1 of the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Float Norm1() + { + GW_Float rNorm = 0; + ITERATE(i,j, rNorm+=traits_type::Modulus(this->GetData(i,j)); ) + return rNorm/(r_size*c_size); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::Norm2 + * + * \return pseuo-norm 2 of the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Float Norm2() + { + GW_Float rNorm = 0; + ITERATE(i,j, rNorm+=traits_type::SquareModulus(this->GetData(i,j)); ) + return sqrt( rNorm )/(r_size*c_size); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_MatrixStatic::NormInf + * + * \return pseudo-infinite norm of the matrix. + * \author Gabriel Peyré 2001-11-06 + */ + /*------------------------------------------------------------------------------*/ + GW_Float NormInf() + { + GW_Float rNorm = 0; + ITERATE(i,j, + if( traits_type::Modulus(this->GetData(i,j)) >rNorm) + rNorm=traits_type::Modulus(this->GetData(i,j)); + ) + return rNorm; + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_MatrixStatic", s); + GW_MatrixStatic<3,5,GW_Float> M; + M.Randomize(); + + s << "Test for creation : " << endl; + s << M << endl; + + s << "Test for transposition : " << endl; + GW_MatrixStatic<5,3,GW_Float> TM; + TM = M.Transpose(); + s << TM << endl; + + s << "Test for multiplication : " << endl; + s << "M^T*M : " << TM*M << endl; + s << "M*M^T : " << M*TM << endl; + + s << "The rows of the matrix : " << endl; + for( GW_U32 i=0; i<3; ++i ) + cout << M.GetRow(i) << endl; + + s << "The columns of the matrix : " << endl; + for( GW_U32 j=0; j<5; ++j ) + cout << M.GetColumn(j) << endl; + + GW_MatrixStatic<5,5,GW_Float> TMM = (TM*M); + GW_MatrixStatic<3,3,GW_Float> MTM = (M*TM); + s << "M^T*M = " << TMM << endl; + s << "M*M^T = " << MTM << endl; + + s << "Norm tests : " << endl; + s << "|M*M^T|_inf=" << MTM.NormInf() << + ", |M*M^T|_1=" << MTM.Norm1() << + ", |M*M^T|_2=" << MTM.Norm2() << endl; + s << "|M^T*M|_inf=" << TMM.NormInf() << + ", |M^T*M|_1=" << TMM.Norm1() << + ", |M^T*M|_2=" << TMM.Norm2() << endl; + + s << "Test TM=pseudo-identity : " << endl; + TM.LoadIdentity(); + s << TM << endl; + GW_MatrixStatic<3,5,GW_Float> N = M; + + s << "Replace in M a row by [pi,pi/2,pi/3,...] to get matrix N : " << endl; + GW_VectorStatic<5,GW_Float> r; + r[0] = GW_PI; r[1] = GW_PI/2; r[2] = GW_PI/3; r[3] = GW_PI/4; r[4] = GW_PI/5; + N.SetRow(r, 0); + s << N << endl; + + s << "Replace in N a column by [pi,pi*2,pi*3,...] : " << endl; + GW_VectorStatic<3,GW_Float> c; + c[0] = GW_PI; c[1] = GW_PI*2; c[2] = GW_PI*3; + N.SetColumn(c, 0); + s << N << endl; + + s << "Addition test : " << endl; + s << "M+2.5*M = " << (M+(M*2.5)) << endl; + + s << "Substration test : " << endl; + s << "N-2.5*N = " << (N-(N*2.5)) << endl; + + s << "Inversion test : " << endl; + GW_MatrixStatic<8,8,GW_Float> R; + R.Randomize(); + s << "Matrix R : " << R << endl; + GW_MatrixStatic<8,8,GW_Float> RI = R.Invert(); + s << "The inverse of R : " << RI << endl; + GW_Float err = (R*RI - GW_MatrixStatic<8,8,GW_Float>()).Norm2(); + s << "Norm 2 of (R*R^(-1)-Id) : " << err << endl; + GW_ASSERT(err A; + A.Randomize(); + GW_VectorStatic<8,GW_Float> x,b; + b.Randomize(); + A.Solve(x,b); + err = (A*x-b).Norm(); + cout << "Error = " << err << endl; + GW_ASSERT( err > CM; + GW_Complex min; + GW_Complex max; + max.real(1); max.imag(1); + CM.Randomize( min,max ); + cout << CM << endl; + cout << "|M|_2=" << CM.Norm2() << ", |M|_1=" << CM.Norm1() << ", |M|_inf=" << CM.NormInf() << endl; + } + +protected: + + /** the matrix datas */ + v_type aData_[r_size][c_size]; + +}; + + +template +inline +std::ostream& operator<<(std::ostream &s, GW_MatrixStatic& m) +{ + s << "GW_Matrix" << r_size << "x" << c_size; + if( traits::GetBasicTypeName()!=NULL ) + s << "<" << traits::GetBasicTypeName() << ">"; + s << " : " << endl; + for( GW_U32 i=0; i +inline +void Multiply(const GW_MatrixStatic& a, + const GW_MatrixStatic& b, + GW_MatrixStatic& r) +{ + for( GW_U32 i=0; i +inline +GW_MatrixStatic operator*(const GW_MatrixStatic& a, + const GW_MatrixStatic& b) +{ + GW_MatrixStatic r; + Multiply( a, b, r ); + return r; +} +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_MatrixStatic::operator *= +* +* \param m right hand matrix. +* \author Gabriel Peyré 2001-11-06 +* +* These matrix must be square of the same size. +*/ +/*------------------------------------------------------------------------------*/ +template +inline +void operator *=(const GW_MatrixStatic& a, + const GW_MatrixStatic& b) +{ + GW_MatrixStatic r; + Multiply( a, b, r ); + a = r; +} + + +/* Addition operators *************************************************************/ +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_MatrixStatic::Add +* +* \param a left hand matrix. +* \param b right hand matrix. +* \param r result. +* \author Gabriel Peyré 2001-11-06 +*/ +/*------------------------------------------------------------------------------*/ +template +inline +static void Add(const GW_MatrixStatic& a, + const GW_MatrixStatic& b, + GW_MatrixStatic& r) +{ + ITERATE(i,j, r.SetData(i,j, a.GetData(i,j)+b.GetData(i,j)); ) +} +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_MatrixStatic::Add +* +* \param a left hand matrix. +* \param b right hand matrix. +* \param r result. +* \author Gabriel Peyré 2001-11-06 +*/ +/*------------------------------------------------------------------------------*/ +template +inline +GW_MatrixStatic operator + (const GW_MatrixStatic & a, + const GW_MatrixStatic & b) +{ + GW_MatrixStatic r; + Add( a, b, r ); + return r; +} +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_MatrixStatic::UMinus +* +* \author Gabriel Peyré 2001-11-06 +*/ +/*------------------------------------------------------------------------------*/ +template +inline +void operator += (const GW_MatrixStatic & a, + const GW_MatrixStatic & b) +{ + Add( a, b, a ); +} + + +/* Substraction operators *************************************************************/ +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_MatrixStatic::Minus +* +* \param a left hand matrix. +* \param b right hand matrix. +* \param r result. +* \author Gabriel Peyré 2001-11-06 +*/ +/*------------------------------------------------------------------------------*/ +template +inline +static void Minus( const GW_MatrixStatic& a, + const GW_MatrixStatic& b, + GW_MatrixStatic& r) +{ + ITERATE(i,j, r.SetData(i,j, a.GetData(i,j)-b.GetData(i,j)); ) +} +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_MatrixStatic::- +* +* \param a left hand matrix. +* \param b right hand matrix. +* \param r result. +* \author Gabriel Peyré 2001-11-06 +*/ +/*------------------------------------------------------------------------------*/ +template +inline +GW_MatrixStatic operator - (const GW_MatrixStatic & a, + const GW_MatrixStatic & b) +{ + GW_MatrixStatic r; + Minus( a, b, r ); + return r; +} +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_MatrixStatic::-= +* +* \author Gabriel Peyré 2001-11-06 +*/ +/*------------------------------------------------------------------------------*/ +template +inline +void operator -= (const GW_MatrixStatic & a, + const GW_MatrixStatic & b) +{ + Minus( a, b, a ); +} + +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_MatrixStatic::UMinus +* +* \param a left hand matrix. +* \param r result. +* \return opposed of the matrix. +* \author Gabriel Peyré 2001-11-06 +*/ +/*------------------------------------------------------------------------------*/ +template +inline +void UMinus(const GW_MatrixStatic& a, GW_MatrixStatic& r) +{ + ITERATE(i,j, r.SetData(i,j, -a.GetData(i,j)); ) +} + +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_MatrixStatic::unary - +* +* \author Gabriel Peyré 2001-11-06 +*/ +/*------------------------------------------------------------------------------*/ +template +inline +GW_MatrixStatic operator - (const GW_MatrixStatic & a) +{ + GW_MatrixStatic r; + UMinus( a, r ); +} + + +#undef ITERATE + +} // End namespace GW + + +#endif // __GW_MatrixStatic_h_ + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (C) 2009 Gabriel Peyre diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_Quaternion.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_Quaternion.h new file mode 100644 index 0000000..476cc9d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_Quaternion.h @@ -0,0 +1,669 @@ +/*----------------------------------------------------------------------------*/ +/* GW_Quaternion.h */ +/*----------------------------------------------------------------------------*/ +/* a quaternion */ +/*----------------------------------------------------------------------------*/ + + +/** \file + This file contains the defintion of a quaternion, wich can be used to + represent a rotation, and is mainly used for animation purposes. + \author Gabriel. +**/ + +#ifndef _GW_QUATERNION_H_ +#define _GW_QUATERNION_H_ + +#include "GW_MathsConfig.h" +#include "GW_Maths.h" +#include "GW_Matrix3x3.h" + +namespace GW +{ + +class GW_Matrix3x3; + +/*--------------------------------------------------------------------*/ +/* class GW_Quaternion */ +/*--------------------------------------------------------------------*/ +/* a quaternion */ +/*--------------------------------------------------------------------*/ + +/*! \ingroup group_primitive + * \brief class GW_Quaternion in group group primitive + */ + +/// A quatenion has 4 components, and represent rotation matrix. +/** + The quaternion algebra is known to be the only real algebra (with division) + of finite dimension after the complex plane. + This result is due to Frobenius + \author Gabriel +*/ + +class GW_Quaternion +{ + +public: + + GW_Quaternion::GW_Quaternion() + { + x=y=z=0; + w=1; + } + + GW_Quaternion::GW_Quaternion(const GW_Float _w, const GW_Float _x, + const GW_Float _y, const GW_Float _z) + { + x=_x; + y=_y; + z=_z; + w=_w; + } + + GW_Quaternion::GW_Quaternion(const GW_Float _w, const GW_Float axe[3]) + { + x=axe[X]; + y=axe[Y]; + z=axe[Z]; + w=_w; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion constructor + * + * \param axe the axe of the quaternion + * \author Gabriel Peyré 2001-09-10 + */ + /*------------------------------------------------------------------------------*/ + GW_Quaternion::GW_Quaternion(GW_Vector3D& axe) + { + x = axe[X]; + y = axe[Y]; + z = axe[Z]; + w = 0; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion constructor + * + * \param mat Rotation matrix + * \author Antoine Bouthors 2002-09-03 + * + */ + /*------------------------------------------------------------------------------*/ + GW_Quaternion::GW_Quaternion(GW_Matrix3x3& mat) + { + BuildFromMatrix( mat ); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::GetX + * + * \return the X coord. + * \author Gabriel Peyré 2001-11-28 + */ + /*------------------------------------------------------------------------------*/ + GW_Float GW_Quaternion::GetX() const + { + return x; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::GetY + * + * \return the Y coord. + * \author Gabriel Peyré 2001-11-28 + */ + /*------------------------------------------------------------------------------*/ + GW_Float GW_Quaternion::GetY() const + { + return y; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::GetZ + * + * \return the Z coord. + * \author Gabriel Peyré 2001-11-28 + */ + /*------------------------------------------------------------------------------*/ + GW_Float GW_Quaternion::GetZ() const + { + return z; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::GetW + * + * \return the W coord. + * \author Gabriel Peyré 2001-11-28 + */ + /*------------------------------------------------------------------------------*/ + GW_Float GW_Quaternion::GetW() const + { + return w; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::SetW + * + * \return the W coord. + * \author Gabriel Peyré 2001-11-28 + */ + /*------------------------------------------------------------------------------*/ + void GW_Quaternion::SetW(GW_Float rVal) + { + w = rVal; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::SetX + * + * \return the X coord. + * \author Gabriel Peyré 2001-11-28 + */ + /*------------------------------------------------------------------------------*/ + void GW_Quaternion::SetX(GW_Float rVal) + { + x = rVal; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::SetY + * + * \return the Y coord. + * \author Gabriel Peyré 2001-11-28 + */ + /*------------------------------------------------------------------------------*/ + void GW_Quaternion::SetY(GW_Float rVal) + { + y = rVal; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::SetZ + * + * \return the Z coord. + * \author Gabriel Peyré 2001-11-28 + */ + /*------------------------------------------------------------------------------*/ + void GW_Quaternion::SetZ(GW_Float rVal) + { + z = rVal; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::SetIdentity + * + * \return this + * \author Antoine Bouthors 2002-09-01 + * + * Set the quaternion to the identity (x=y=z=0;w=1;) + */ + /*------------------------------------------------------------------------------*/ + GW_Quaternion& GW_Quaternion::SetIdentity() + { + x=y=z=0; + w=1; + return( *this ); + } + + + /** Quats multiplication. */ + GW_Quaternion GW_Quaternion::operator*(const GW_Quaternion& b) const + { + return GW_Quaternion(w*b.w - (x*b.x + y*b.y + z*b.z), + w*b.x + b.w*x + y*b.z - z*b.y, + w*b.y + b.w*y + z*b.x - x*b.z, + w*b.z + b.w*z + x*b.y - y*b.x); + } + /** Auto multiplication */ + GW_Quaternion& GW_Quaternion::operator*=(const GW_Quaternion& q) + { + GW_Float _w = w*q.w - (x*q.x + y*q.y + z*q.z); + GW_Float _x = w*q.x + q.w*x + y*q.z - z*q.y; + GW_Float _y = w*q.y + q.w*y + z*q.x - x*q.z; + z = w*q.z + q.w*z + x*q.y - y*q.x; + w = _w; + x = _x; + y = _y; + return *this; + } + /** Divide */ + GW_Quaternion GW_Quaternion::operator/(const GW_Quaternion& q) + { + GW_Quaternion qinv = q.Invert(); + qinv = (*this)*q; + return q; + } + /** Scaling */ + GW_Quaternion GW_Quaternion::operator*(GW_Float m) const + { + return GW_Quaternion(m*w, m*x, m*y, m*z); + } + /** Auto scaling */ + GW_Quaternion& GW_Quaternion::operator*=(GW_Float f) + { + z *= f; + w *= f; + x *= f; + y *= f; + return *this; + } + /** Invert-Scaling */ + GW_Quaternion GW_Quaternion::operator/(GW_Float m) const + { + if( m==0 ) + return GW_Quaternion(); + else + return GW_Quaternion(w/m, x/m, y/m, z/m); + } + /** Auto invert-scaling */ + GW_Quaternion& GW_Quaternion::operator/=(GW_Float f) + { + if( f!=0 ) + { + f = 1/f; + z *= f; + w *= f; + x *= f; + y *= f; + } + return *this; + } + /** Auto-addition */ + GW_Quaternion& GW_Quaternion::operator+=(GW_Quaternion &q) + { + w+=q.w; + x+=q.x; + y+=q.y; + z+=q.z; + return *this; + } + /** Auto-substraction. */ + GW_Quaternion& GW_Quaternion::operator-=(GW_Quaternion &q) + { + w-=q.w; + x-=q.x; + y-=q.y; + z-=q.z; + return *this; + } + /** Addition of quats */ + GW_Quaternion GW_Quaternion::operator+(GW_Quaternion &q) const + { + return GW_Quaternion(w+q.w, x+q.x, y+q.y, z+q.z); + } + /** Substraction. */ + GW_Quaternion GW_Quaternion::operator-(GW_Quaternion &q) const + { + return GW_Quaternion(w-q.w, x-q.x, y-q.y, z-q.z); + } + /** Unary minus. */ + GW_Quaternion GW_Quaternion::operator-() const + { + return GW_Quaternion(-w, -x, -y, -z); + } + /** Conjugaison. */ + GW_Quaternion GW_Quaternion::Conjugate() const + { + return GW_Quaternion(w, -x, -y, -z); + } + /** Auto conjugaison. */ + void GW_Quaternion::AutoConjugate() + { + x=-x; + y=-y; + z=-z; + } + /** Inversion */ + GW_Quaternion Invert() const + { + return this->Conjugate()/this->SquareNorm(); + } + /** auto inversion */ + void AutoInvert() + { + this->AutoConjugate(); + (*this) /= this->SquareNorm(); + } + /** Build a unit length quat. */ + void GW_Quaternion::AutoNormalize() + { + GW_Float norm = this->Norm(); + if (norm == 0.0) + { + w = 1.0; + x = y = z = 0.0; + } + else + { + GW_Float recip = 1/norm; + + w *= recip; + x *= recip; + y *= recip; + z *= recip; + } + } + /** Build a unit length quat. */ + GW_Quaternion GW_Quaternion::Normalize() const + { + GW_Float norme = this->Norm(); + if (norme == 0.0) + { + return GW_Quaternion(); + } + else + { + GW_Float recip = 1/norme; + return GW_Quaternion(w*recip, x*recip, y*recip, z*recip); + } + } + /** Return a normalized quaternion. */ + GW_Quaternion operator !() const + { + return this->Normalize(); + } + /** The norm. */ + GW_Float GW_Quaternion::Norm() const + { + return ::sqrt( this->SquareNorm() ); + } + /** get the norm */ + GW_Float GW_Quaternion::operator ~() + { + return this->Norm(); + } + /** Square norm. */ + GW_Float GW_Quaternion::SquareNorm() const + { + return w*w + x*x + y*y + z*z; + } + + + /** Build from axis and angle */ + void GW_Quaternion::BuildFromAxis(const GW_Float angle, GW_Float _x, GW_Float _y, GW_Float _z) + { + GW_Float omega, s, c; + + s = _x*_x + _y*_y + _z*_z; + + if (fabs(s) > GW_EPSILON) + { + c=1/s; + + _x*=c; + _y*=c; + _z*=c; + + omega=-0.5f*angle; + s=(GW_Float)sin(omega); + + x=s*_x; + y=s*_y; + z=s*_z; + w=(GW_Float)cos(omega); + } + else + { + x=y=0.0f; + z=0.0f; + w=1.0f; + } + this->AutoNormalize(); + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_Quaternion::ToAxisAndAngle + * + * \param axis output the axis of the rotation. + * \param angle output the angle of the rotation (\b IN \b RADIAN). + * \author Gabriel Peyré 2001-11-06 + * + * A quaternion can be converted back to a rotation axis and angle + * using the following algorithm : + * + * \code + * If the axis of rotation is (ax, ay, az) + * and the angle is theta (radians) + * then the angle= 2 * acos(w) + * + * ax= x / scale + * ay= y / scale + * az= z / scale + * + * where scale = x^2 + y^2 + z^2 + * \endcode + */ + /*------------------------------------------------------------------------------*/ + void GW_Quaternion::ToAxisAndAngle(GW_Vector3D& axis, GW_Float& angle) const + { + GW_Float rAngle = 2*((GW_Float) acos( w )); + GW_Float rScale = x*x + y*y + z*z; + + if( GW_ABS(rScale) 0 ) + { + S = 0.5f / ::sqrt( T ); + x = .25f / S; + y = ( M[7] - M[5] ) * S; + z = ( M[2] - M[6] ) * S; + w = ( M[3] - M[1] ) * S; + } + else + { + // find the column of the matrix which has the greatest value + GW_U32 i = 2; + if( M[0] > M[4] && M[0] > M[8] ) i = 0; + if( M[4] > M[0] && M[4] > M[8] ) i = 1; + + switch( i ) + { + case 0: + S = ::sqrt( 1.f + M[0] - M[4] - M[8] ) * 2; + y = .5f / S; + z = ( M[1] + M[3] ) / S; + w = ( M[2] + M[6] ) / S; + x = ( M[5] + M[7] ) / S; + break; + + case 1: + S = ::sqrt( 1.f - M[0] + M[4] - M[8] ) * 2; + z = .5f / S; + y = ( M[1] + M[3] ) / S; + x = ( M[2] + M[6] ) / S; + w = ( M[5] + M[7] ) / S; + break; + + case 2: + S = ::sqrt( 1.f - M[0] - M[4] + M[8] ) * 2; + w = .5f / S; + x = ( M[1] + M[3] ) / S; + y = ( M[2] + M[6] ) / S; + z = ( M[5] + M[7] ) / S; + break; + } + } + } + + /** Spherical interpolation. */ + GW_Quaternion GW_Quaternion::Slerp(GW_Quaternion& b, GW_Float t) + { + GW_Float omega, cosom, sinom, sclp, sclq; + + cosom = x*b.x + y*b.y + z*b.z + w*b.w; + + if ((1.0f+cosom) > GW_EPSILON) + { + if ((1.0f-cosom) > GW_EPSILON) + { + omega = (GW_Float) acos(cosom); + sinom = (GW_Float) sin(omega); + sclp = (GW_Float) sin((1.0f-t)*omega) / sinom; + sclq = (GW_Float) sin(t*omega) / sinom; + } + else + { + sclp = 1.0f - t; + sclq = t; + } + + x = sclp*x + sclq*b.x; + y = sclp*y + sclq*b.y; + z = sclp*z + sclq*b.z; + w = sclp*w + sclq*b.w; + } + else + { + x =-y; + y = x; + z =-w; + w = z; + + sclp = (GW_Float) sin((1.0f-t) * GW_PI * 0.5); + sclq = (GW_Float) sin(t * GW_PI * 0.5); + + x = sclp*x + sclq*b.x; + y = sclp*y + sclq*b.y; + z = sclp*z + sclq*b.z; + } + return *this; + } + + /** Linear interpolation. */ + GW_Quaternion GW_Quaternion::Lerp(GW_Quaternion& to, GW_Float t) + { + return GW_Quaternion(w*(1-t) + to.w*t,x*(1-t) + to.x*t, y*(1-t) + to.y*t, + z*(1-t) + to.z*t).Normalize(); + } + + /** Compute the exponential. */ + GW_Quaternion& GW_Quaternion::Exp() + { + GW_Float mul; + GW_Float length = x*x + y*y + z*z; + + if (length > GW_EPSILON) + mul = (GW_Float) sin(length)/length; + else + mul = 1.0; + + w = (GW_Float) cos(length); + + x *= mul; + y *= mul; + z *= mul; + + return *this; + } + + /** Compute the logarithm. */ + GW_Quaternion& GW_Quaternion::Log() + { + GW_Float length = x*x+y*y+z*z; + length = (GW_Float) atan(length/w); + + w = 0.0; + + x *= length; + y *= length; + z *= length; + + return *this; + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_Quaternion", s); + + TestClassFooter("GW_Quaternion", s); + } + + + +protected: + + /** the fourth component of the quaterion */ + GW_Float w, x, y, z; + +}; + +inline +std::ostream& operator<<(std::ostream &s, GW_Quaternion& m) +{ + s << "GW_Quaternion : {w=" << m.GetW() << ",x=" << m.GetX() << ",y=" << m.GetY() << ",z=" << m.GetZ() << "}"; + return s; +} + + +} // namespace GW + +#endif /* #ifndef _GW_QUATERNION_H_ */ + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (C) 2009 Gabriel Peyre \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_SparseMatrix.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_SparseMatrix.h new file mode 100644 index 0000000..602dcfc --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_SparseMatrix.h @@ -0,0 +1,463 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_SparseMatrix.h + * \brief Definition of class \c GW_SparseMatrix + * \author Gabriel Peyré + * \date 6-8-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_SPARSEMATRIX_H_ +#define _GW_SPARSEMATRIX_H_ + +#include "GW_MathsConfig.h" + + +extern "C" { +#include +#include +#include +#include +#include +#include +#include +} + +namespace GW { + +typedef Vector LSP_Vector; +typedef QMatrix LSP_Matrix; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_SparseMatrix + * \brief A sparse matrix. + * \author Gabriel Peyré + * \date 6-8-2003 + * + * It is a wrapper \c LASPACK library. + */ +/*------------------------------------------------------------------------------*/ + +std::ostream& operator<<(std::ostream &s, class GW_SparseMatrix& A); + +class GW_SparseMatrix +{ +public: + + enum T_IterativeSolverType + { + /* classical iterative methods */ + IterativeSolver_Jacobi, + IterativeSolver_SORForw, + IterativeSolver_SORBackw, + IterativeSolver_SSOR, + /* semi-iterative methods */ + IterativeSolver_Chebyshev, + /* CG and CG-like methods */ + IterativeSolver_CG, + IterativeSolver_CGN, + IterativeSolver_GMRES, + IterativeSolver_BiCG, + IterativeSolver_QMR, + IterativeSolver_CGS, + IterativeSolver_BiCGSTAB, + }; + + enum T_PreconditionerType + { + Preconditioner_Jacobi, + Preconditioner_SSOR, + Preconditioner_ILU, + Preconditioner_NULL // no preconditioner + }; + + GW_SparseMatrix( GW_U32 nSize, ElOrderType ElOrder = Rowws ) + { + Q_Constr( &M_, "GW_SparseMatrix", nSize, False, ElOrder, Normal, True ); + RowPosition_ = new GW_U32[nSize]; + memset( RowPosition_, 0, nSize*sizeof(GW_U32) ); + } + GW_SparseMatrix( GW_SparseMatrix& Original ) + { + Q_Constr( &M_, "GW_SparseMatrix", Original.GetDim(), False, Q_GetElOrder( &Original.M_ ), Normal, True ); + RowPosition_ = new GW_U32[Original.GetDim()]; + memset( RowPosition_, 0, Original.GetDim()*sizeof(GW_U32) ); + (*this) = Original; + } + GW_SparseMatrix( GW_MatrixNxP& Original, ElOrderType ElOrder = Rowws ) + { + GW_ASSERT( Original.GetNbrRows()==Original.GetNbrCols() ); + GW_U32 nSize = GW_MIN(Original.GetNbrRows(),Original.GetNbrCols()); + Q_Constr( &M_, "GW_SparseMatrix", nSize, False, ElOrder, Normal, True ); + RowPosition_ = new GW_U32[nSize]; + memset( RowPosition_, 0, nSize*sizeof(GW_U32) ); + /* copy data */ + this->BuildFromFull(Original); + } + virtual ~GW_SparseMatrix() + { + Q_Destr( &M_ ); + GW_DELETEARRAY(RowPosition_); + } + GW_SparseMatrix& operator =( GW_SparseMatrix& Original ) + { + GW_ASSERT( this->GetDim()==Original.GetDim() ); + GW_SparseMatrix::Copy( *this, Original.M_ ); + return *this; + } + + void BuildFromFull( GW_MatrixNxP& Original ) + { + GW_U32 nSize = Original.GetNbrRows(); + /* copy data */ + for( GW_U32 i=0; iSetRowSize(i,nNonZero); + for( GW_U32 j=0; jSetData( i,j, Original.GetData(i,j) ); + } + } + + GW_U32 GetDim() + { + return (GW_U32) Q_GetDim(&M_); + } + + //------------------------------------------------------------------------- + /** \name accessors */ + //------------------------------------------------------------------------- + //@{ + GW_Float GetData(GW_U32 i, GW_U32 j) + { + GW_ASSERT( iGetDim() && jGetDim() ); + return Q_GetEl(&M_, i+1,j+1); + } + GW_U32 GetRowSize( GW_U32 i ) + { + return (GW_U32) Q_GetLen( &M_, i+1 ); + } + void SetRowSize( GW_U32 i, GW_U32 nSize ) + { + GW_ASSERT( iGetDim() ); + GW_ASSERT( nSize<=this->GetDim() ); + Q_SetLen( &M_, i+1, nSize ); + // restart the counter ... + RowPosition_[i] = 0; + } + void ResetRowSize( GW_U32 i, GW_U32 nSize ) + { + GW_ASSERT( iGetDim() ); + GW_ASSERT( nSize<=this->GetDim() ); + /* we must save the previous stuff */ + std::list PosList; + std::list ValList; + for( GW_U32 k=0; k::iterator it_val = ValList.begin(); + for( std::list::iterator it_pos = PosList.begin(); it_pos!=PosList.end(); ++it_pos ) + { + GW_ASSERT( it_val!=ValList.end() ); + GW_Float val = *it_val; + GW_U32 pos = *it_pos; GW_ASSERT( pos>0 ); + this->SetData( i, pos-1, val ); + ++it_val; + } + GW_ASSERT( it_val==ValList.end() ); + } + void SetData( GW_U32 i, GW_U32 j, GW_Float rVal ) + { + GW_ASSERT( iGetDim() && jGetDim() ); + GW_ASSERT( this->GetRowSize(i)>0 && RowPosition_[i]GetRowSize(i) ); + RowPosition_[i]++; + Q_SetEntry(&M_, i+1, RowPosition_[i]-1, j+1, rVal); // matrix, row, entry, col, val + } + //@} + + /** access element by element */ + GW_Float AccessEntry( GW_U32 i, GW_U32 entry, GW_U32& j ) + { + GW_ASSERT( entryGetRowSize(i) ); + if( entryGetRowSize(i) ) + { + j = (GW_U32) Q_GetPos(&M_, i+1, entry) - 1; + return Q_GetVal(&M_, i+1, entry); + } + return 0; + } + + //------------------------------------------------------------------------- + /** \name multiplication methods (both optimised and non-optimised) */ + //------------------------------------------------------------------------- + //@{ + GW_VectorND operator*(GW_VectorND& v) + { + GW_VectorND r(v.GetDim()); + GW_SparseMatrix::Multiply( *this, v, r ); + return r; + } + static void Multiply(GW_SparseMatrix& a, GW_VectorND& v, GW_VectorND& r) + { + GW_ASSERT( a.GetDim()==v.GetDim() ); + GW_ASSERT( a.GetDim()==r.GetDim() ); + LSP_Vector v1; + V_Constr( &v1, "temp", v.GetDim(), Normal, True ); + GW_SparseMatrix::Copy( v1, v ); + Asgn_VV( &v1, Mul_QV( &a.M_, &v1 ) ); + GW_SparseMatrix::Copy( r, v1 ); + V_Destr( &v1 ); + } + //@} + + GW_SparseMatrix Transpose() + { + ElOrderType ElOrder = Q_GetElOrder(&M_); + if( ElOrder == Rowws ) + ElOrder = Clmws; + else if( ElOrder == Clmws ) + ElOrder = Rowws; + GW_SparseMatrix r(this->GetDim(), ElOrder); + GW_SparseMatrix::Transpose( *this, r ); + return r; + } + static void Transpose(GW_SparseMatrix& a, GW_SparseMatrix& r) + { + GW_SparseMatrix::Copy( r, *Transp_Q(&a.M_) ); + } + + void BuildTriDiag( GW_Float val_down, GW_Float val_up, GW_Float val_diag ) + { + GW_U32 n = this->GetDim(); + this->SetRowSize(0,2); + this->SetData(0,0, val_diag); + this->SetData(0,1, val_up); + for( GW_U32 i=1; iSetRowSize(i,3); + this->SetData(i,i-1, val_down); + this->SetData(i,i, val_diag); + this->SetData(i,i+1, val_up); + } + this->SetRowSize(n-1,2); + this->SetData(n-1,n-2, val_down); + this->SetData(n-1,n-1, val_diag); + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_SparseMatrix", s); + GW_U32 n = 10; + + s << "Creation test." << endl; + GW_SparseMatrix SM(n); + SM.BuildTriDiag( 3,3,4 ); + s << SM; + + s << "M1=M2 : Copy test." << endl; + GW_SparseMatrix SM2(n); + SM2 = SM; + s << SM; + + s << "M^T : Transpose test." << endl; + s << SM.Transpose(); + + + s << "M*[1] : Matrix/Vector multiplication test." << endl; + GW_VectorND v(n); + v.SetValue(1); + s << SM*v << endl; + + n = 1000; + GW_Float eps = 1e-10; + GW_SparseMatrix SM3(n); + SM3.BuildTriDiag( 3,3,4 ); + s << "Conjugate gradient with SSOR test, size " << n << endl; + GW_VectorND x(n); + GW_VectorND b(n); + b.Randomize(); + GW_Float err = SM3.IterativeSolve( x, b, GW_SparseMatrix::IterativeSolver_CG, GW_SparseMatrix::Preconditioner_SSOR, + eps, 5*n, 1.2, GW_True ); + s << "Error=" << err << "." << endl; + + + GW_SparseMatrix SM4(n); + SM4.BuildTriDiag( -3,3,4 ); + s << "Bi-conjugate gradient with SSOR test, size " << n << endl; + b.Randomize(); + err = SM4.IterativeSolve( x, b, GW_SparseMatrix::IterativeSolver_BiCG, GW_SparseMatrix::Preconditioner_SSOR, + eps, 5*n, 1.2, GW_True ); + s << "Error=" << err << "." << endl; + TestClassFooter("GW_SparseMatrix", s); + } + + void Print(std::ostream &s) + { + s << "Sparse matrix, size " << this->GetDim() << "x" << this->GetDim() << "." << endl; + for( GW_U32 i=0; iGetDim(); ++i ) + { + s << "|"; + for( GW_U32 j=0; jGetDim();++j ) + { + if( Q_GetElOrder(&M_)==Rowws ) + s << this->GetData(i,j); + else + s << this->GetData(j,i); + if( j!=this->GetDim()-1 ) + s << " "; + } + s << "|" << endl; + } + } + + GW_Float IterativeSolve( GW_VectorND& x, GW_VectorND& b, T_IterativeSolverType Solver, T_PreconditionerType Preconditioner, + GW_Float eps = 1e-10, GW_U32 nMaxIter = 100, GW_Float Omega = 1.2, GW_Bool bGetError = GW_False ) + { + LSP_Vector xv; + LSP_Vector bv; + size_t Dim = this->GetDim(); + + /* temportary data */ + V_Constr( &xv, "xv", Dim, Normal, True ); + GW_SparseMatrix::Copy( xv, x ); + V_Constr( &bv, "bv", Dim, Normal, True ); + GW_SparseMatrix::Copy( bv, b ); + + /* set the preconditioner */ + PrecondProcType PrecondProc = NULL; + switch( Preconditioner ) { + case Preconditioner_SSOR: + PrecondProc = SSORPrecond; + break; + case Preconditioner_Jacobi: + PrecondProc = JacobiPrecond; + break; + case Preconditioner_ILU: + PrecondProc = ILUPrecond; + break; + } + + SetRTCAccuracy( eps ); + V_SetAllCmp( &xv, 0 ); // initial guess + switch(Solver) { + case IterativeSolver_Jacobi: + JacobiIter(&M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_SORForw: + SORForwIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_SORBackw: + SORBackwIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_SSOR: + SSORIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_Chebyshev: + ChebyshevIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_CG: + CGIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_CGN: + CGNIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_GMRES: + GMRESIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_BiCG: + BiCGIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_QMR: + QMRIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_CGS: + CGSIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + case IterativeSolver_BiCGSTAB: + BiCGSTABIter( &M_, &xv, &bv, nMaxIter, PrecondProc, Omega ); + break; + default: + GW_ASSERT( GW_False ); + } + + GW_SparseMatrix::Copy( x, xv ); + + if( bGetError ) + { + /* r = b - A * x */ + return (b-(*this)*x).Norm2(); + } + else + return 0; + + /* destroy data */ + V_Destr(&xv); + V_Destr(&bv); + } + + /** Internal helper */ + static void Copy( GW_VectorND& v1, LSP_Vector& v2 ) + { + GW_ASSERT( V_GetDim(&v2)==v1.GetDim() ); + for( GW_U32 i=0; i +{ + +public: + + GW_Vector2D() :GW_VectorStatic<2,GW_Float>() {} + GW_Vector2D( const GW_VectorStatic<2,GW_Float>& v ) :GW_VectorStatic<2,GW_Float>(v) {} + GW_Vector2D( GW_Float a ) :GW_VectorStatic<2,GW_Float>(a) {} + GW_Vector2D( GW_Float a, GW_Float b ) + { + aCoords_[0] = a; + aCoords_[1] = b; + } + void SetCoord( GW_Float a, GW_Float b ) + { + aCoords_[0] = a; + aCoords_[1] = b; + } + + /*------------------------------------------------------------------------------*/ + // Name : GW_Vector2D::Rotate + /** + * \param a [GW_Float] Angle + * \return [GW_Vector2D] Rotated vector. + * \author Gabriel Peyré + * \date 5-26-2003 + * + * Return a rotated vector. + */ + /*------------------------------------------------------------------------------*/ + GW_Vector2D Rotate( GW_Float a ) + { + return GW_VectorStatic<2,GW_Float>::Rotate(a, 0,1 ); + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_Vector2D", s); + s << "Test for rotation of vector 2D" << endl; + GW_Vector2D v; + v.Randomize(); + s << "Vector v : " << v << endl; + GW_Vector2D w = v.Rotate(GW_HALFPI); + s << "v rotated of pi/2 : " << w << endl; + GW_Float dot = w*v; + GW_ASSERT( GW_ABS(dot)<1e-6 ); + TestClassFooter("GW_Vector2D", s); + } + +}; + + + + +GW_END_NAMESPACE + + +#endif // __GW_Vector2D_h_ + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_Vector3D.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_Vector3D.h new file mode 100644 index 0000000..a67a19c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_Vector3D.h @@ -0,0 +1,114 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Vector3D.h + * \brief Definition of class \c GW_Vector3D + * \author Gabriel Peyré 2001-09-10 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef __GW_Vector3D_h_ +#define __GW_Vector3D_h_ + +#include "GW_MathsConfig.h" +#include "GW_VectorStatic.h" // here +#include "GW_Vector2D.h" + +GW_BEGIN_NAMESPACE + +/** Forward definition **/ +class GW_Vector3D; +GW_Vector3D operator^( const GW_VectorStatic<3,GW_Float>& v1, const GW_VectorStatic<3,GW_Float>& v2); + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_Vector3D + * \brief A 3D vector, with usefull operators and methods. + * \author Gabriel Peyré 2001-09-10 + * + * This class is used every where ... + * A constructor makes the conversion GW_Float[3] -> GW_Vector3D + * A lot of operator have been defined to make common maths operations, so use them ! + */ +/*------------------------------------------------------------------------------*/ +class GW_Vector3D: public GW_VectorStatic<3,GW_Float> +{ + +public: + + GW_Vector3D() :GW_VectorStatic<3,GW_Float>() {} + GW_Vector3D( const GW_VectorStatic<3,GW_Float>& v ) :GW_VectorStatic<3,GW_Float>(v) {} + GW_Vector3D( GW_Float a ) :GW_VectorStatic<3,GW_Float>(a) {} + GW_Vector3D( GW_Float a, GW_Float b, GW_Float c ) + { + aCoords_[0] = a; + aCoords_[1] = b; + aCoords_[2] = c; + } + GW_Vector3D( GW_Vector2D& v ) + { + aCoords_[0] = v[0]; + aCoords_[1] = v[1]; + aCoords_[2] = 0; + } + /** copy operator */ + void SetCoord( GW_Float a, GW_Float b, GW_Float c ) + { + aCoords_[0] = a; + aCoords_[1] = b; + aCoords_[2] = c; + } + + GW_Vector2D ToVector2D() + { + return GW_Vector2D(aCoords_[0], aCoords_[1]); + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_Vector3D", s); + GW_Vector3D v1; + v1.Randomize(); + v1.Normalize(); + GW_ASSERT( GW_ABS(~v1 - 1)& v1, const GW_VectorStatic<3,GW_Float>& v2) +{ + return GW_Vector3D( v1[1]*v2[2] - v1[2]*v2[1], + v1[2]*v2[0] - v1[0]*v2[2], + v1[0]*v2[1] - v1[1]*v2[0]); +} + + +GW_END_NAMESPACE + + + +#endif // __GW_Vector3D_h_ + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_Vector4D.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_Vector4D.h new file mode 100644 index 0000000..d5cab6f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_Vector4D.h @@ -0,0 +1,70 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Vector4D.h + * \brief Definition of class \c GW_Vector4D + * \author Gabriel Peyré 2001-09-10 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef __GW_Vector4D_h_ +#define __GW_Vector4D_h_ + +#include "GW_MathsConfig.h" +#include "GW_Maths.h" +#include "GW_VectorStatic.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_Vector4D + * \brief A 4D vector, with usefull operators and methods. + * \author Gabriel Peyré 2001-09-10 + * + * This class is used every where ... + * A constructor makes the conversion GW_Float[4] -> GW_Vector4D + * A lot of operator have been defined to make common maths operations, so use them ! + */ +/*------------------------------------------------------------------------------*/ + +class GW_Vector4D: public GW_VectorStatic<4,GW_Float> +{ + +public: + + GW_Vector4D() :GW_VectorStatic<4,GW_Float>() {} + GW_Vector4D( const GW_VectorStatic<4,GW_Float>& v ) :GW_VectorStatic<4,GW_Float>(v) {} + GW_Vector4D( GW_Float a ) :GW_VectorStatic<4,GW_Float>(a) {} + GW_Vector4D( GW_Float a, GW_Float b, GW_Float c, GW_Float d ) + { + aCoords_[0] = a; + aCoords_[1] = b; + aCoords_[2] = c; + aCoords_[2] = d; + } + void SetCoord( GW_Float a, GW_Float b, GW_Float c, GW_Float d ) + { + aCoords_[0] = a; + aCoords_[1] = b; + aCoords_[2] = c; + aCoords_[2] = d; + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_Vector4D", s); + TestClassFooter("GW_Vector4D", s); + } + +}; + + +} // End namespace GW + + +#endif // __GW_Vector4D_h_ + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (C) 2009 Gabriel Peyre + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_VectorND.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_VectorND.h new file mode 100644 index 0000000..d9ea8a4 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/GW_VectorND.h @@ -0,0 +1,460 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VectorND.h + * \brief Definition of class \c GW_VectorND + * \author Gabriel Peyré + * \date 5-31-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_VECTORND_H_ +#define _GW_VECTORND_H_ + + +#error toto +#include "GW_MathsConfig.h" +#include "GW_VectorStatic.h" + +#include "tnt/tnt.h" +#include "tnt/jama_eig.h" +#include "tnt/jama_qr.h" +#include "tnt/jama_cholesky.h" +#include "tnt/jama_svd.h" +#include "tnt/jama_lu.h" + + +namespace GW { + +typedef TNT::Array1D GW_TNTArray1D; + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_VectorND + * \brief A vector of size N + * \author Gabriel Peyré + * \date 5-31-2003 + * + * Use \b TNT lib + */ +/*------------------------------------------------------------------------------*/ + +class GW_VectorND: public GW_TNTArray1D +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_VectorND() :GW_TNTArray1D(){} + explicit GW_VectorND(GW_U32 n) :GW_TNTArray1D((int) n){} + GW_VectorND(GW_U32 n, GW_Float *a) :GW_TNTArray1D((int) n,a){} + GW_VectorND(GW_U32 n, const GW_Float &a):GW_TNTArray1D((int) n,a){} + GW_VectorND(const GW_VectorND &A) :GW_TNTArray1D(A){} + //@} + + GW_U32 GetDim() const + { + return this->dim(); + } + + void Reset( GW_U32 dim ) + { + ((GW_TNTArray1D&) (*this)) = GW_TNTArray1D((int) dim); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::operator + * + * \param f Rigth hand statement + * \return the vector scaled. + * \author Gabriel Peyré 2001-09-29 + */ + /*------------------------------------------------------------------------------*/ + GW_VectorND GW_VectorND::operator*(const GW_Float& f) const + { + GW_VectorND Res( this->GetDim() ); + GW_VectorND::Multiply( f, *this, Res ); + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::Multiply + * + * \param f left hand statement. + * \param v right hand statement. + * \param r vector v scaled by f. + * \author Gabriel Peyré 2001-09-29 + */ + /*------------------------------------------------------------------------------*/ + static void GW_VectorND::Multiply(const GW_Float f, const GW_VectorND& v, GW_VectorND& r) + { + GW_ASSERT( v.GetDim() == r.GetDim() ); + + for( GW_U32 i=0; iGetDim() ); + GW_VectorND::Add( *this, v, Res ); + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::Add + * + * \param a left hand statement + * \param b right hand statement + * \param r result + * \author Gabriel Peyré 2001-09-29 + * + * Add the two vectOMLs. + */ + /*------------------------------------------------------------------------------*/ + static void GW_VectorND::Add(const GW_VectorND& a, const GW_VectorND& b, GW_VectorND& r) + { + GW_ASSERT( a.GetDim() == r.GetDim() ); + GW_ASSERT( b.GetDim() == r.GetDim() ); + + for( GW_U32 i=0; iGetDim() ); + GW_VectorND::Minus( *this, v, Res ); + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::Minus + * + * \param a left hand statement + * \param b right hand statement + * \param r result + * \author Gabriel Peyré 2001-09-29 + * + * Substract the two vectOMLs. + */ + /*------------------------------------------------------------------------------*/ + static void GW_VectorND::Minus(const GW_VectorND& a, const GW_VectorND& b, GW_VectorND& r) + { + GW_ASSERT( a.GetDim() == r.GetDim() ); + GW_ASSERT( b.GetDim() == r.GetDim() ); + + for( GW_U32 i=0; iGetDim() ); + GW_VectorND::UMinus( *this, Res ); + return Res; + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::UMinus + * + * \param a right hand statement + * \param r result + * \author Gabriel Peyré 2001-09-29 + */ + /*------------------------------------------------------------------------------*/ + static void GW_VectorND::UMinus(const GW_VectorND& a, GW_VectorND& r) + { + GW_ASSERT( a.GetDim() == r.GetDim() ); + + for( GW_U32 i=0; iGetDim() == v.GetDim() ); + + GW_Float rDot=0; + for( GW_U32 i=0; iGetData(i)*v.GetData(i); + + return rDot; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::NormInf + * + * \return Infinite norm of the vector. + * \author Gabriel Peyré 2001-09-30 + * + * The infinte norm is the maximum of the absolute value of the coordonates. + */ + /*------------------------------------------------------------------------------*/ + GW_Float GW_VectorND::NormInf() + { + GW_Float rNorm = 0; + GW_Float rVal = 0; + for( GW_U32 i=0; iGetDim(); ++i ) + { + rVal = this->GetData(i); + if( rVal>rNorm ) + rNorm = rVal; + if( -rVal>rNorm ) + rNorm = -rVal; + } + + return rNorm; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::Norm2 + * + * \return Norm 2 of the vector. + * \author Gabriel Peyré 2001-09-30 + * + * The eclidian norm of the vector. + */ + /*------------------------------------------------------------------------------*/ + GW_Float GW_VectorND::Norm2() + { + GW_Float rNorm = 0; + GW_Float rVal = 0; + for( GW_U32 i=0; iGetDim(); ++i ) + { + rVal = this->GetData(i); + rNorm += rVal*rVal; + } + + return (GW_Float) sqrt( rNorm )/this->GetDim(); + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::Norm1 + * + * \return Norm 1 of the vector. + * \author Gabriel Peyré 2001-09-30 + * + * The norm 1 is the sum of the absolute value of the coords. + */ + /*------------------------------------------------------------------------------*/ + GW_Float GW_VectorND::Norm1() + { + GW_Float rNorm = 0; + for( GW_U32 i=0; iGetDim(); ++i ) + rNorm += GW_ABS( this->GetData(i) ); + + return rNorm/this->GetDim(); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::GetData + * + * \param i offset in the vector. + * \return the value of the given coord. + * \authOML Gabriel Peyré 2001-09-29 + */ + /*------------------------------------------------------------------------------*/ + GW_Float GW_VectorND::GetData(GW_U32 i) const + { + GW_ASSERT( iGetDim() ); + return (*this)[i]; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::SetData + * + * \param i offset in the vector. + * \param rVal value to set to this coord. + * \authOML Gabriel Peyré 2001-09-29 + */ + /*------------------------------------------------------------------------------*/ + void GW_VectorND::SetData(GW_U32 i, GW_Float rVal) + { + GW_ASSERT( iGetDim() ); + (*this)[i] = rVal; + } + + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::Randomize + * + * \param rMin=0 minimum value. + * \param rMax=1 maximum value. + * \author Gabriel Peyré 2001-09-29 + */ + /*------------------------------------------------------------------------------*/ + void GW_VectorND::Randomize(GW_Float rMin = 0, GW_Float rMax = 1) + { + for( GW_U32 i=0; iGetDim(); ++i ) + this->SetData( i, rMin + GW_RAND*(rMax-rMin) ); + } + + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::SetZero + * + * \author Gabriel Peyré 2001-09-29 + * + * set the vector to zero. + */ + /*------------------------------------------------------------------------------*/ + void GW_VectorND::SetZero() + { + this->SetValue(0.0); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorND::SetValue + * + * \param rVal the value to set to the vector. + * \author Gabriel Peyré 2001-09-29 + */ + /*------------------------------------------------------------------------------*/ + void GW_VectorND::SetValue(GW_Float rVal) + { + if( this->GetDim()>0 ) + { + for( GW_U32 i=0; iGetDim(); ++i ) + this->SetData(i,rVal); + } + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_VectorND", s); + + TestClassFooter("GW_VectorND", s); + } + +private: + +}; + + +/*------------------------------------------------------------------------------*/ +/** +* Name : GW_VectorND::operator +* +* \param f Rigth hand statement +* \return the vector scaled. +* \author Gabriel Peyré 2001-09-29 +*/ +/*------------------------------------------------------------------------------*/ +inline +GW_VectorND operator*(const GW_Float& f, GW_VectorND& v) +{ + GW_VectorND Res( v.GetDim() ); + GW_VectorND::Multiply( f, v, Res ); + return Res; +} + +inline +std::ostream& operator<<(std::ostream &s, GW_VectorND& v) +{ + s << "GW_VectorND, size=" << v.GetDim() << " : " << endl; + cout << "|"; + for( GW_U32 j=0; j +// #include "GW_VectorND.h"// here + + +GW_BEGIN_NAMESPACE + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_VectorStatic + * \brief A vector of fixed size, with usefull operators and methods. + * \author Gabriel Peyré 2001-09-10 + * + * This class is used every where ... + * A lot of operator have been defined to make common maths operations, so use them ! + */ +/*------------------------------------------------------------------------------*/ + +template +class GW_VectorStatic +{ + +public: + + //------------------------------------------------------------------------- + /** \name constructors/destructor */ + //------------------------------------------------------------------------- + //@{ + GW_VectorStatic() + { + for( GW_U32 i=0; i v1; + for( GW_U32 i=0; i v1; + for( GW_U32 i=0; i v1; + for( GW_U32 i=0; iSquareNorm()); + } + /** Multiplication + \return The vector this multplied by \a f + \param f The 'v_type' to multiply the vector by. + **/ + GW_VectorStatic operator*( v_type f ) const + { + GW_VectorStatic v1; + for( GW_U32 i=0; iNorm(); + GW_Float d; + if( n!=0 ) d=1/n; + else d=0; + return (*this)*( (v_type) d); + } + + /** Comparison + \return false if the 2 vectors are the same (with an error of \a EPSILON) + \param V The vector to compare to + **/ + /* + GW_Bool operator!=( const GW_VectorStatic& V) const + { + for( int i=0; iGW_EPSILON ) return true; + return false; + } + */ + + /** Comparison + \return true if the 2 vectors are the same (with an error of \a EPSILON) + \param V The vector to compare to + **/ + /* + GW_Bool operator==( const GW_VectorStatic& V) const + { + for( GW_U32 i=0; iGW_EPSILON ) return false; + return false; + } + */ + + /** Division + Divide the vector by \a f + \param f The 'v_type' to divide the vector by + **/ + void operator/=(v_type f) + { + if( f!=0 ) + (*this) *= (v_type) 1/f; + } + + /** Division + \return The vector divided by \a f + \param f The 'v_type' to divide the vector by + **/ + GW_VectorStatic operator/(v_type f) const + { + if( f!=0 ) + { + GW_VectorStatic v1(*this); + v1 /= f; + return v1; + } + else + return GW_VectorStatic(); + } + + /** Mulitplication + Mulitply the vector by \a f + \param f The 'v_type' to multiply the vector by + **/ + void operator*=(v_type f) + { + for( GW_U32 i=0; iNorm(); + if( nSetZero(); + aCoords_[0] = 1; + } + else + (*this) /= n; + } + + GW_Float Norm() const + { + return ~(*this); + } + + /** compute the square of the norm */ + v_type SquareNorm() const + { + v_type r = 0; + for( GW_U32 i=0; iGetData(), 0, v_size*sizeof(v_type) ); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorStatic::SetValue + * + * \param rVal the value to set to the vector. + * \author Gabriel Peyré 2001-09-29 + */ + /*------------------------------------------------------------------------------*/ + void SetValue(v_type rVal) + { + this->SetCoord(rVal); + } + /*------------------------------------------------------------------------------*/ + /** + * Name : GW_VectorStatic::Randomize + * + * \param rMin=0 minimum value. + * \param rMax=1 maximum value. + * \author Gabriel Peyré 2001-09-29 + */ + /*------------------------------------------------------------------------------*/ + void Randomize(v_type rMin = 0, v_type rMax = 1) + { + for( GW_U32 i=0; iSetData( i, (v_type) (GW_RAND_RANGE( rMin, rMax )) ); + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_VectorStatic", s); + cout << "Float based vectors ********************" << endl; + cout << "Test for creation :" << endl; + GW_VectorStatic v; + v.SetData(0,1); + v.SetData(1,1); + cout << v << endl; + cout << "Test for norm : " << endl; + cout << v.Norm() << endl; + cout << "Test for scale : " << endl; + cout << "v*2 : " << v*2 << " ... norm=" << (v*2).Norm() << "." << endl; + cout << "Test for rotation : " << endl; + GW_U32 n_rot = 8; + for( GW_U32 i=0; i<=n_rot; ++i ) + { + GW_Float a = GW_TWOPI/n_rot*i; + cout << "Angle " << a << " : " << v.Rotate(a, 0,1 ) << endl; + } + cout << "Test for soustraction : v-2*v" << endl; + cout << (v-v*2) << endl; + cout << "Test for addition : v+2*v" << endl; + cout << (v+v*2) << endl; + cout << "done." << endl; + + cout << "Integer based vectors ********************" << endl; + cout << "Test for creation (entry in [0,4]) :" << endl; + GW_VectorStatic vi; + vi.Randomize(0,5); + cout << vi << endl; + cout << "Square norm = " << vi.SquareNorm() << endl; + cout << "Addition v+2*v : " << (vi+vi*2) << endl; + TestClassFooter("GW_VectorStatic", s); + } + + +protected: + + /** Space coords (x,y) of the vector */ + v_type aCoords_[v_size]; + +}; + + +template +inline +std::ostream& operator<<(std::ostream &s, GW_VectorStatic &v) +{ + s << "GW_Vector" << v_size << "D : |"; + for( GW_U32 i=0; i +class GW_Complex: public std::complex +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_Complex(T& a, T& b):std::complex(a,b) {} + GW_Complex(T& a):std::complex(a,a) {} + GW_Complex():std::complex(0,0) {} + //@} + + GW_Complex& operator=(const T& b) + { + this->real(b); + this->imag(b); + return *this; + } + + T SquareModulus() const + { return this->real()*this->real()+this->imag()*this->imag(); } + T Modulus() const + { return ::sqrt(this->SquareModulus()); } + + GW_Complex Conjugate() const + { + return GW_Complex(this->real(),-this->imag()); + } + + + /** Complex class operators */ + GW_Complex operator/(const GW_Complex& b) const + { + GW_Float m = b.Modulus(); + if( m!=0 ) + return (*this)*b.Conjugate()/m; + } + void operator/(const GW_Complex& a) + { + (*this) = (*this)/a; + } + + static void TestClass(std::ostream &s = cout) + { + TestClassHeader("GW_MatrixStatic", s); + GW_Complex x(1,1),y(3,2), z; + z = x/y; + z *= y; + GW_ASSERT( (z-x).Modulus() +struct gw_basic_type_traits< GW_Complex > +{ + static double SquareModulus(const GW_Complex& val) + { return (double) val.SquareModulus(); } + static double Modulus(const GW_Complex& val) + { return (double) val.Modulus(); } + /** must retrun a number at random between say [0,1] */ + static GW_Complex Random(const GW_Complex& min, const GW_Complex& max) + { + GW_Float r = GW_RAND_RANGE(min.real(),max.real()); + GW_Float i = GW_RAND_RANGE(min.imag(),max.imag()); + return GW_Complex( r, i ); + } + static const char* GetBasicTypeName() + { return "complex"; } + static GW_Bool IsInvertible(const GW_Complex& x) + { return (x.real()!=0 && x.imag()!=0); } +}; +#endif + +/** Pretty print. */ +template< class c_type > +inline +std::ostream& operator<<(std::ostream &s, GW_Complex& c) +{ + s << c.real() << "+i*" << c.imag(); + return s; +} + +} // End namespace GW + + +#endif // _GW_COMPLEX_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/all-wcprops b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/all-wcprops new file mode 100644 index 0000000..b4556b5 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/all-wcprops @@ -0,0 +1,17 @@ +K 25 +svn:wc:ra_dav:version-url +V 86 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/test +END +test.vcproj +K 25 +svn:wc:ra_dav:version-url +V 98 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/test/test.vcproj +END +main.cpp +K 25 +svn:wc:ra_dav:version-url +V 95 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/test/main.cpp +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/entries b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/entries new file mode 100644 index 0000000..280a81b --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/entries @@ -0,0 +1,54 @@ +8 + +dir +12 +https://matlabcompanion.svn.sourceforge.net/svnroot/matlabcompanion/toolbox/toolbox_fast_marching/mex/gw/gw_maths/test +https://matlabcompanion.svn.sourceforge.net/svnroot/matlabcompanion + + + +2008-08-16T12:32:42.608947Z +1 +nikopol0 + + +svn:special svn:externals svn:needs-lock + + + + + + + + + + + +0211462f-4f08-4595-aba7-0193070202b6 + +test.vcproj +file + + + + +2008-08-16T13:43:20.000000Z +031876ec46e886705bd435e4913f0958 +2008-08-16T12:32:42.608947Z +1 +nikopol0 +has-props + +main.cpp +file + + + + +2008-08-16T13:43:20.000000Z +16c136591d5d54f611708bcbb5a5a68a +2008-08-16T12:32:42.608947Z +1 +nikopol0 +has-props + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/format b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/format new file mode 100644 index 0000000..45a4fb7 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/format @@ -0,0 +1 @@ +8 diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/prop-base/main.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/prop-base/main.cpp.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/prop-base/main.cpp.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/prop-base/test.vcproj.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/prop-base/test.vcproj.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/prop-base/test.vcproj.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/text-base/main.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/text-base/main.cpp.svn-base new file mode 100644 index 0000000..ccb74ee --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/text-base/main.cpp.svn-base @@ -0,0 +1,37 @@ +/** This is a test application for GeoWave Math library. */ + +#include "../GW_Maths.h" +#include "../GW_Vector2D.h" +#include "../GW_Vector3D.h" +#include "../GW_Vector4D.h" +#include "../GW_VectorND.h" +#include "../GW_Matrix2x2.h" +#include "../GW_Matrix3x3.h" +#include "../GW_Matrix4x4.h" +#include "../GW_MatrixNxP.h" +#include "../GW_SparseMatrix.h" +#include "../GW_MatrixStatic.h" +#include "../GW_Quaternion.h" + +using namespace GW; + +void main() +{ + cout << "############################################################" << endl; + cout << " GeoWave Maths Library -- Tests" << endl; + cout << "############################################################" << endl; + GW_Maths::TestClass(); + GW_VectorStatic<3,GW_Float>::TestClass(); + GW_Vector2D::TestClass(); + GW_Vector3D::TestClass(); + GW_Vector4D::TestClass(); + GW_VectorND::TestClass(); + GW_MatrixStatic<3,3,GW_Float>::TestClass(); + GW_Matrix2x2::TestClass(); + GW_Matrix3x3::TestClass(); + GW_Matrix4x4::TestClass(); + GW_MatrixNxP::TestClass(); + GW_SparseMatrix::TestClass(); + GW_Quaternion::TestClass(); + cout << "############################################################" << endl; +} \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/text-base/test.vcproj.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/text-base/test.vcproj.svn-base new file mode 100644 index 0000000..93353f3 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/.svn/text-base/test.vcproj.svn-base @@ -0,0 +1,112 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/main.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/main.cpp new file mode 100644 index 0000000..ccb74ee --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/main.cpp @@ -0,0 +1,37 @@ +/** This is a test application for GeoWave Math library. */ + +#include "../GW_Maths.h" +#include "../GW_Vector2D.h" +#include "../GW_Vector3D.h" +#include "../GW_Vector4D.h" +#include "../GW_VectorND.h" +#include "../GW_Matrix2x2.h" +#include "../GW_Matrix3x3.h" +#include "../GW_Matrix4x4.h" +#include "../GW_MatrixNxP.h" +#include "../GW_SparseMatrix.h" +#include "../GW_MatrixStatic.h" +#include "../GW_Quaternion.h" + +using namespace GW; + +void main() +{ + cout << "############################################################" << endl; + cout << " GeoWave Maths Library -- Tests" << endl; + cout << "############################################################" << endl; + GW_Maths::TestClass(); + GW_VectorStatic<3,GW_Float>::TestClass(); + GW_Vector2D::TestClass(); + GW_Vector3D::TestClass(); + GW_Vector4D::TestClass(); + GW_VectorND::TestClass(); + GW_MatrixStatic<3,3,GW_Float>::TestClass(); + GW_Matrix2x2::TestClass(); + GW_Matrix3x3::TestClass(); + GW_Matrix4x4::TestClass(); + GW_MatrixNxP::TestClass(); + GW_SparseMatrix::TestClass(); + GW_Quaternion::TestClass(); + cout << "############################################################" << endl; +} \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/test.vcproj b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/test.vcproj new file mode 100644 index 0000000..93353f3 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/test/test.vcproj @@ -0,0 +1,112 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/all-wcprops b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/all-wcprops new file mode 100644 index 0000000..49634d8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/all-wcprops @@ -0,0 +1,155 @@ +K 25 +svn:wc:ra_dav:version-url +V 85 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/tnt +END +tnt_array2d.h +K 25 +svn:wc:ra_dav:version-url +V 99 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array2d.h +END +tnt_array3d.h +K 25 +svn:wc:ra_dav:version-url +V 99 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array3d.h +END +jama_eig.h +K 25 +svn:wc:ra_dav:version-url +V 96 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/tnt/jama_eig.h +END +tnt_math_utils.h +K 25 +svn:wc:ra_dav:version-url +V 102 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_math_utils.h +END +tnt_stopwatch.h +K 25 +svn:wc:ra_dav:version-url +V 101 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_stopwatch.h +END +tnt_vec.h +K 25 +svn:wc:ra_dav:version-url +V 95 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_vec.h +END +tnt_fortran_array1d_utils.h +K 25 +svn:wc:ra_dav:version-url +V 113 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array1d_utils.h +END +tnt_subscript.h +K 25 +svn:wc:ra_dav:version-url +V 101 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_subscript.h +END +tnt_fortran_array2d_utils.h +K 25 +svn:wc:ra_dav:version-url +V 113 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array2d_utils.h +END +tnt.h +K 25 +svn:wc:ra_dav:version-url +V 91 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt.h +END +tnt_fortran_array3d_utils.h +K 25 +svn:wc:ra_dav:version-url +V 113 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array3d_utils.h +END +tnt_array1d_utils.h +K 25 +svn:wc:ra_dav:version-url +V 105 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array1d_utils.h +END +jama_lu.h +K 25 +svn:wc:ra_dav:version-url +V 95 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/tnt/jama_lu.h +END +tnt_array2d_utils.h +K 25 +svn:wc:ra_dav:version-url +V 105 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array2d_utils.h +END +jama_cholesky.h +K 25 +svn:wc:ra_dav:version-url +V 101 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/tnt/jama_cholesky.h +END +tnt_cmat.h +K 25 +svn:wc:ra_dav:version-url +V 96 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_cmat.h +END +tnt_array3d_utils.h +K 25 +svn:wc:ra_dav:version-url +V 105 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array3d_utils.h +END +jama_qr.h +K 25 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0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/prop-base/tnt_stopwatch.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/prop-base/tnt_subscript.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/prop-base/tnt_subscript.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/prop-base/tnt_subscript.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/prop-base/tnt_vec.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/prop-base/tnt_vec.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/prop-base/tnt_vec.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/prop-base/tnt_version.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/prop-base/tnt_version.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/prop-base/tnt_version.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/jama_cholesky.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/jama_cholesky.h.svn-base new file mode 100644 index 0000000..8fad30c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/jama_cholesky.h.svn-base @@ -0,0 +1,259 @@ +#ifndef JAMA_CHOLESKY_H +#define JAMA_CHOLESKY_H + +#include "math.h" + /* needed for sqrt() below. */ + + +namespace JAMA +{ + +using TNT::Array2D; +using TNT::Array1D; + +/** +

    + For a symmetric, positive definite matrix A, this function + computes the Cholesky factorization, i.e. it computes a lower + triangular matrix L such that A = L*L'. + If the matrix is not symmetric or positive definite, the function + computes only a partial decomposition. This can be tested with + the is_spd() flag. + +

    Typical usage looks like: + 

    +	Array2D A(n,n);
+	Array2D L;
+
+	 ... 
+
+	Cholesky chol(A);
+
+	if (chol.is_spd())
+		L = chol.getL();
+		
+  	else
+		cout << "factorization was not complete.\n";
+
+
    + + +

    + (Adapted from JAMA, a Java Matrix Library, developed by jointly + by the Mathworks and NIST; see http://math.nist.gov/javanumerics/jama). + + */ + +template +class Cholesky +{ + Array2D L_; // lower triangular factor + int isspd; // 1 if matrix to be factored was SPD + +public: + + Cholesky(); + Cholesky(const Array2D &A); + Array2D getL() const; + Array1D solve(const Array1D &B); + Array2D solve(const Array2D &B); + int is_spd() const; + +}; + +template +Cholesky::Cholesky() : L_(0,0), isspd(0) {} + +/** + @return 1, if original matrix to be factored was symmetric + positive-definite (SPD). +*/ +template +int Cholesky::is_spd() const +{ + return isspd; +} + +/** + @return the lower triangular factor, L, such that L*L'=A. +*/ +template +Array2D Cholesky::getL() const +{ + return L_; +} + +/** + Constructs a lower triangular matrix L, such that L*L'= A. + If A is not symmetric positive-definite (SPD), only a + partial factorization is performed. If is_spd() + evalutate true (1) then the factorizaiton was successful. +*/ +template +Cholesky::Cholesky(const Array2D &A) +{ + + + int m = A.dim1(); + int n = A.dim2(); + + isspd = (m == n); + + if (m != n) + { + L_ = Array2D(0,0); + return; + } + + L_ = Array2D(n,n); + + + // Main loop. + for (int j = 0; j < n; j++) + { + double d = 0.0; + for (int k = 0; k < j; k++) + { + Real s = 0.0; + for (int i = 0; i < k; i++) + { + s += L_[k][i]*L_[j][i]; + } + L_[j][k] = s = (A[j][k] - s)/L_[k][k]; + d = d + s*s; + isspd = isspd && (A[k][j] == A[j][k]); + } + d = A[j][j] - d; + isspd = isspd && (d > 0.0); + L_[j][j] = sqrt(d > 0.0 ? d : 0.0); + for (int k = j+1; k < n; k++) + { + L_[j][k] = 0.0; + } + } +} + +/** + + Solve a linear system A*x = b, using the previously computed + cholesky factorization of A: L*L'. + + @param B A Matrix with as many rows as A and any number of columns. + @return x so that L*L'*x = b. If b is nonconformat, or if A + was not symmetric posidtive definite, a null (0x0) + array is returned. +*/ +template +Array1D Cholesky::solve(const Array1D &b) +{ + int n = L_.dim1(); + if (b.dim1() != n) + return Array1D(); + + + Array1D x = b.copy(); + + + // Solve L*y = b; + for (int k = 0; k < n; k++) + { + for (int i = 0; i < k; i++) + x[k] -= x[i]*L_[k][i]; + x[k] /= L_[k][k]; + + } + + // Solve L'*X = Y; + for (int k = n-1; k >= 0; k--) + { + for (int i = k+1; i < n; i++) + x[k] -= x[i]*L_[i][k]; + x[k] /= L_[k][k]; + } + + return x; +} + + +/** + + Solve a linear system A*X = B, using the previously computed + cholesky factorization of A: L*L'. + + @param B A Matrix with as many rows as A and any number of columns. + @return X so that L*L'*X = B. If B is nonconformat, or if A + was not symmetric posidtive definite, a null (0x0) + array is returned. +*/ +template +Array2D Cholesky::solve(const Array2D &B) +{ + int n = L_.dim1(); + if (B.dim1() != n) + return Array2D(); + + + Array2D X = B.copy(); + int nx = B.dim2(); + +// Cleve's original code +#if 0 + // Solve L*Y = B; + for (int k = 0; k < n; k++) { + for (int i = k+1; i < n; i++) { + for (int j = 0; j < nx; j++) { + X[i][j] -= X[k][j]*L_[k][i]; + } + } + for (int j = 0; j < nx; j++) { + X[k][j] /= L_[k][k]; + } + } + + // Solve L'*X = Y; + for (int k = n-1; k >= 0; k--) { + for (int j = 0; j < nx; j++) { + X[k][j] /= L_[k][k]; + } + for (int i = 0; i < k; i++) { + for (int j = 0; j < nx; j++) { + X[i][j] -= X[k][j]*L_[k][i]; + } + } + } +#endif + + + // Solve L*y = b; + for (int j=0; j< nx; j++) + { + for (int k = 0; k < n; k++) + { + for (int i = 0; i < k; i++) + X[k][j] -= X[i][j]*L_[k][i]; + X[k][j] /= L_[k][k]; + } + } + + // Solve L'*X = Y; + for (int j=0; j= 0; k--) + { + for (int i = k+1; i < n; i++) + X[k][j] -= X[i][j]*L_[i][k]; + X[k][j] /= L_[k][k]; + } + } + + + + return X; +} + + +} +// namespace JAMA + +#endif +// JAMA_CHOLESKY_H diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/jama_eig.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/jama_eig.h.svn-base new file mode 100644 index 0000000..aaa1fc5 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/jama_eig.h.svn-base @@ -0,0 +1,1026 @@ +#ifndef JAMA_EIG_H +#define JAMA_EIG_H + + +#include "tnt_array1d.h" +#include "tnt_array2d.h" +#include "tnt_math_utils.h" + + +// using namespace TNT; + + +namespace JAMA +{ + +/** + + Computes eigenvalues and eigenvectors of a real (non-complex) + matrix. +

    + If A is symmetric, then A = V*D*V' where the eigenvalue matrix D is + diagonal and the eigenvector matrix V is orthogonal. That is, + the diagonal values of D are the eigenvalues, and + V*V' = I, where I is the identity matrix. The columns of V + represent the eigenvectors in the sense that A*V = V*D. + +

    + If A is not symmetric, then the eigenvalue matrix D is block diagonal + with the real eigenvalues in 1-by-1 blocks and any complex eigenvalues, + a + i*b, in 2-by-2 blocks, [a, b; -b, a]. That is, if the complex + eigenvalues look like +

    +
+          u + iv     .        .          .      .    .
+            .      u - iv     .          .      .    .
+            .        .      a + ib       .      .    .
+            .        .        .        a - ib   .    .
+            .        .        .          .      x    .
+            .        .        .          .      .    y
+
    + then D looks like +
    +
+            u        v        .          .      .    .
+           -v        u        .          .      .    . 
+            .        .        a          b      .    .
+            .        .       -b          a      .    .
+            .        .        .          .      x    .
+            .        .        .          .      .    y
+
    + This keeps V a real matrix in both symmetric and non-symmetric + cases, and A*V = V*D. + + + +

    + The matrix V may be badly + conditioned, or even singular, so the validity of the equation + A = V*D*inverse(V) depends upon the condition number of V. + +

    + (Adapted from JAMA, a Java Matrix Library, developed by jointly + by the Mathworks and NIST; see http://math.nist.gov/javanumerics/jama). +**/ + +using TNT::abs; + +template +class Eigenvalue +{ + + /** Row and column dimension (square matrix). */ + int n; + + int issymmetric; /* boolean*/ + + /** Arrays for internal storage of eigenvalues. */ + + TNT::Array1D d; /* real part */ + TNT::Array1D e; /* img part */ + + /** Array for internal storage of eigenvectors. */ + TNT::Array2D V; + + /** Array for internal storage of nonsymmetric Hessenberg form. + @serial internal storage of nonsymmetric Hessenberg form. + */ + TNT::Array2D H; + + + /** Working storage for nonsymmetric algorithm. + @serial working storage for nonsymmetric algorithm. + */ + TNT::Array1D ort; + + + // Symmetric Householder reduction to tridiagonal form. + + void tred2() { + + // This is derived from the Algol procedures tred2 by + // Bowdler, Martin, Reinsch, and Wilkinson, Handbook for + // Auto. Comp., Vol.ii-Linear Algebra, and the corresponding + // Fortran subroutine in EISPACK. + + for (int j = 0; j < n; j++) { + d[j] = V[n-1][j]; + } + + // Householder reduction to tridiagonal form. + + for (int i = n-1; i > 0; i--) { + + // Scale to avoid under/overflow. + + Real scale = 0.0; + Real h = 0.0; + for (int k = 0; k < i; k++) { + scale = scale + abs(d[k]); + } + if (scale == 0.0) { + e[i] = d[i-1]; + for (int j = 0; j < i; j++) { + d[j] = V[i-1][j]; + V[i][j] = 0.0; + V[j][i] = 0.0; + } + } else { + + // Generate Householder vector. + + for (int k = 0; k < i; k++) { + d[k] /= scale; + h += d[k] * d[k]; + } + Real f = d[i-1]; + Real g = sqrt(h); + if (f > 0) { + g = -g; + } + e[i] = scale * g; + h = h - f * g; + d[i-1] = f - g; + for (int j = 0; j < i; j++) { + e[j] = 0.0; + } + + // Apply similarity transformation to remaining columns. + + for (int j = 0; j < i; j++) { + f = d[j]; + V[j][i] = f; + g = e[j] + V[j][j] * f; + for (int k = j+1; k <= i-1; k++) { + g += V[k][j] * d[k]; + e[k] += V[k][j] * f; + } + e[j] = g; + } + f = 0.0; + for (int j = 0; j < i; j++) { + e[j] /= h; + f += e[j] * d[j]; + } + Real hh = f / (h + h); + for (int j = 0; j < i; j++) { + e[j] -= hh * d[j]; + } + for (int j = 0; j < i; j++) { + f = d[j]; + g = e[j]; + for (int k = j; k <= i-1; k++) { + V[k][j] -= (f * e[k] + g * d[k]); + } + d[j] = V[i-1][j]; + V[i][j] = 0.0; + } + } + d[i] = h; + } + + // Accumulate transformations. + + for (int i = 0; i < n-1; i++) { + V[n-1][i] = V[i][i]; + V[i][i] = 1.0; + Real h = d[i+1]; + if (h != 0.0) { + for (int k = 0; k <= i; k++) { + d[k] = V[k][i+1] / h; + } + for (int j = 0; j <= i; j++) { + Real g = 0.0; + for (int k = 0; k <= i; k++) { + g += V[k][i+1] * V[k][j]; + } + for (int k = 0; k <= i; k++) { + V[k][j] -= g * d[k]; + } + } + } + for (int k = 0; k <= i; k++) { + V[k][i+1] = 0.0; + } + } + for (int j = 0; j < n; j++) { + d[j] = V[n-1][j]; + V[n-1][j] = 0.0; + } + V[n-1][n-1] = 1.0; + e[0] = 0.0; + } + + // Symmetric tridiagonal QL algorithm. + + void tql2 () { + + // This is derived from the Algol procedures tql2, by + // Bowdler, Martin, Reinsch, and Wilkinson, Handbook for + // Auto. Comp., Vol.ii-Linear Algebra, and the corresponding + // Fortran subroutine in EISPACK. + + for (int i = 1; i < n; i++) { + e[i-1] = e[i]; + } + e[n-1] = 0.0; + + Real f = 0.0; + Real tst1 = 0.0; + Real eps = pow(2.0,-52.0); + for (int l = 0; l < n; l++) { + + // Find small subdiagonal element + + tst1 = TNT::max(tst1,abs(d[l]) + abs(e[l])); + int m = l; + + // Original while-loop from Java code + while (m < n) { + if (abs(e[m]) <= eps*tst1) { + break; + } + m++; + } + + + // If m == l, d[l] is an eigenvalue, + // otherwise, iterate. + + if (m > l) { + int iter = 0; + do { + iter = iter + 1; // (Could check iteration count here.) + + // Compute implicit shift + + Real g = d[l]; + Real p = (d[l+1] - g) / (2.0 * e[l]); + Real r = hypot(p,1.0); + if (p < 0) { + r = -r; + } + d[l] = e[l] / (p + r); + d[l+1] = e[l] * (p + r); + Real dl1 = d[l+1]; + Real h = g - d[l]; + for (int i = l+2; i < n; i++) { + d[i] -= h; + } + f = f + h; + + // Implicit QL transformation. + + p = d[m]; + Real c = 1.0; + Real c2 = c; + Real c3 = c; + Real el1 = e[l+1]; + Real s = 0.0; + Real s2 = 0.0; + for (int i = m-1; i >= l; i--) { + c3 = c2; + c2 = c; + s2 = s; + g = c * e[i]; + h = c * p; + r = hypot(p,e[i]); + e[i+1] = s * r; + s = e[i] / r; + c = p / r; + p = c * d[i] - s * g; + d[i+1] = h + s * (c * g + s * d[i]); + + // Accumulate transformation. + + for (int k = 0; k < n; k++) { + h = V[k][i+1]; + V[k][i+1] = s * V[k][i] + c * h; + V[k][i] = c * V[k][i] - s * h; + } + } + p = -s * s2 * c3 * el1 * e[l] / dl1; + e[l] = s * p; + d[l] = c * p; + + // Check for convergence. + + } while (abs(e[l]) > eps*tst1); + } + d[l] = d[l] + f; + e[l] = 0.0; + } + + // Sort eigenvalues and corresponding vectors. + + for (int i = 0; i < n-1; i++) { + int k = i; + Real p = d[i]; + for (int j = i+1; j < n; j++) { + if (d[j] < p) { + k = j; + p = d[j]; + } + } + if (k != i) { + d[k] = d[i]; + d[i] = p; + for (int j = 0; j < n; j++) { + p = V[j][i]; + V[j][i] = V[j][k]; + V[j][k] = p; + } + } + } + } + + // Nonsymmetric reduction to Hessenberg form. + + void orthes () { + + // This is derived from the Algol procedures orthes and ortran, + // by Martin and Wilkinson, Handbook for Auto. Comp., + // Vol.ii-Linear Algebra, and the corresponding + // Fortran subroutines in EISPACK. + + int low = 0; + int high = n-1; + + for (int m = low+1; m <= high-1; m++) { + + // Scale column. + + Real scale = 0.0; + for (int i = m; i <= high; i++) { + scale = scale + abs(H[i][m-1]); + } + if (scale != 0.0) { + + // Compute Householder transformation. + + Real h = 0.0; + for (int i = high; i >= m; i--) { + ort[i] = H[i][m-1]/scale; + h += ort[i] * ort[i]; + } + Real g = sqrt(h); + if (ort[m] > 0) { + g = -g; + } + h = h - ort[m] * g; + ort[m] = ort[m] - g; + + // Apply Householder similarity transformation + // H = (I-u*u'/h)*H*(I-u*u')/h) + + for (int j = m; j < n; j++) { + Real f = 0.0; + for (int i = high; i >= m; i--) { + f += ort[i]*H[i][j]; + } + f = f/h; + for (int i = m; i <= high; i++) { + H[i][j] -= f*ort[i]; + } + } + + for (int i = 0; i <= high; i++) { + Real f = 0.0; + for (int j = high; j >= m; j--) { + f += ort[j]*H[i][j]; + } + f = f/h; + for (int j = m; j <= high; j++) { + H[i][j] -= f*ort[j]; + } + } + ort[m] = scale*ort[m]; + H[m][m-1] = scale*g; + } + } + + // Accumulate transformations (Algol's ortran). + + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + V[i][j] = (i == j ? 1.0 : 0.0); + } + } + + for (int m = high-1; m >= low+1; m--) { + if (H[m][m-1] != 0.0) { + for (int i = m+1; i <= high; i++) { + ort[i] = H[i][m-1]; + } + for (int j = m; j <= high; j++) { + Real g = 0.0; + for (int i = m; i <= high; i++) { + g += ort[i] * V[i][j]; + } + // Double division avoids possible underflow + g = (g / ort[m]) / H[m][m-1]; + for (int i = m; i <= high; i++) { + V[i][j] += g * ort[i]; + } + } + } + } + } + + + // Complex scalar division. + + Real cdivr, cdivi; + void cdiv(Real xr, Real xi, Real yr, Real yi) { + Real r,d; + if (abs(yr) > abs(yi)) { + r = yi/yr; + d = yr + r*yi; + cdivr = (xr + r*xi)/d; + cdivi = (xi - r*xr)/d; + } else { + r = yr/yi; + d = yi + r*yr; + cdivr = (r*xr + xi)/d; + cdivi = (r*xi - xr)/d; + } + } + + + // Nonsymmetric reduction from Hessenberg to real Schur form. + + void hqr2 () { + + // This is derived from the Algol procedure hqr2, + // by Martin and Wilkinson, Handbook for Auto. Comp., + // Vol.ii-Linear Algebra, and the corresponding + // Fortran subroutine in EISPACK. + + // Initialize + + int nn = this->n; + int n = nn-1; + int low = 0; + int high = nn-1; + Real eps = pow(2.0,-52.0); + Real exshift = 0.0; + Real p=0,q=0,r=0,s=0,z=0,t,w,x,y; + + // Store roots isolated by balanc and compute matrix norm + + Real norm = 0.0; + for (int i = 0; i < nn; i++) { + if ((i < low) || (i > high)) { + d[i] = H[i][i]; + e[i] = 0.0; + } + for (int j = TNT::max(i-1,0); j < nn; j++) { + norm = norm + abs(H[i][j]); + } + } + + // Outer loop over eigenvalue index + + int iter = 0; + while (n >= low) { + + // Look for single small sub-diagonal element + + int l = n; + while (l > low) { + s = abs(H[l-1][l-1]) + abs(H[l][l]); + if (s == 0.0) { + s = norm; + } + if (abs(H[l][l-1]) < eps * s) { + break; + } + l--; + } + + // Check for convergence + // One root found + + if (l == n) { + H[n][n] = H[n][n] + exshift; + d[n] = H[n][n]; + e[n] = 0.0; + n--; + iter = 0; + + // Two roots found + + } else if (l == n-1) { + w = H[n][n-1] * H[n-1][n]; + p = (H[n-1][n-1] - H[n][n]) / 2.0; + q = p * p + w; + z = sqrt(abs(q)); + H[n][n] = H[n][n] + exshift; + H[n-1][n-1] = H[n-1][n-1] + exshift; + x = H[n][n]; + + // Real pair + + if (q >= 0) { + if (p >= 0) { + z = p + z; + } else { + z = p - z; + } + d[n-1] = x + z; + d[n] = d[n-1]; + if (z != 0.0) { + d[n] = x - w / z; + } + e[n-1] = 0.0; + e[n] = 0.0; + x = H[n][n-1]; + s = abs(x) + abs(z); + p = x / s; + q = z / s; + r = sqrt(p * p+q * q); + p = p / r; + q = q / r; + + // Row modification + + for (int j = n-1; j < nn; j++) { + z = H[n-1][j]; + H[n-1][j] = q * z + p * H[n][j]; + H[n][j] = q * H[n][j] - p * z; + } + + // Column modification + + for (int i = 0; i <= n; i++) { + z = H[i][n-1]; + H[i][n-1] = q * z + p * H[i][n]; + H[i][n] = q * H[i][n] - p * z; + } + + // Accumulate transformations + + for (int i = low; i <= high; i++) { + z = V[i][n-1]; + V[i][n-1] = q * z + p * V[i][n]; + V[i][n] = q * V[i][n] - p * z; + } + + // Complex pair + + } else { + d[n-1] = x + p; + d[n] = x + p; + e[n-1] = z; + e[n] = -z; + } + n = n - 2; + iter = 0; + + // No convergence yet + + } else { + + // Form shift + + x = H[n][n]; + y = 0.0; + w = 0.0; + if (l < n) { + y = H[n-1][n-1]; + w = H[n][n-1] * H[n-1][n]; + } + + // Wilkinson's original ad hoc shift + + if (iter == 10) { + exshift += x; + for (int i = low; i <= n; i++) { + H[i][i] -= x; + } + s = abs(H[n][n-1]) + abs(H[n-1][n-2]); + x = y = 0.75 * s; + w = -0.4375 * s * s; + } + + // MATLAB's new ad hoc shift + + if (iter == 30) { + s = (y - x) / 2.0; + s = s * s + w; + if (s > 0) { + s = sqrt(s); + if (y < x) { + s = -s; + } + s = x - w / ((y - x) / 2.0 + s); + for (int i = low; i <= n; i++) { + H[i][i] -= s; + } + exshift += s; + x = y = w = 0.964; + } + } + + iter = iter + 1; // (Could check iteration count here.) + + // Look for two consecutive small sub-diagonal elements + + int m = n-2; + while (m >= l) { + z = H[m][m]; + r = x - z; + s = y - z; + p = (r * s - w) / H[m+1][m] + H[m][m+1]; + q = H[m+1][m+1] - z - r - s; + r = H[m+2][m+1]; + s = abs(p) + abs(q) + abs(r); + p = p / s; + q = q / s; + r = r / s; + if (m == l) { + break; + } + if (abs(H[m][m-1]) * (abs(q) + abs(r)) < + eps * (abs(p) * (abs(H[m-1][m-1]) + abs(z) + + abs(H[m+1][m+1])))) { + break; + } + m--; + } + + for (int i = m+2; i <= n; i++) { + H[i][i-2] = 0.0; + if (i > m+2) { + H[i][i-3] = 0.0; + } + } + + // Double QR step involving rows l:n and columns m:n + + for (int k = m; k <= n-1; k++) { + int notlast = (k != n-1); + if (k != m) { + p = H[k][k-1]; + q = H[k+1][k-1]; + r = (notlast ? H[k+2][k-1] : 0.0); + x = abs(p) + abs(q) + abs(r); + if (x != 0.0) { + p = p / x; + q = q / x; + r = r / x; + } + } + if (x == 0.0) { + break; + } + s = sqrt(p * p + q * q + r * r); + if (p < 0) { + s = -s; + } + if (s != 0) { + if (k != m) { + H[k][k-1] = -s * x; + } else if (l != m) { + H[k][k-1] = -H[k][k-1]; + } + p = p + s; + x = p / s; + y = q / s; + z = r / s; + q = q / p; + r = r / p; + + // Row modification + + for (int j = k; j < nn; j++) { + p = H[k][j] + q * H[k+1][j]; + if (notlast) { + p = p + r * H[k+2][j]; + H[k+2][j] = H[k+2][j] - p * z; + } + H[k][j] = H[k][j] - p * x; + H[k+1][j] = H[k+1][j] - p * y; + } + + // Column modification + + for (int i = 0; i <= TNT::min(n,k+3); i++) { + p = x * H[i][k] + y * H[i][k+1]; + if (notlast) { + p = p + z * H[i][k+2]; + H[i][k+2] = H[i][k+2] - p * r; + } + H[i][k] = H[i][k] - p; + H[i][k+1] = H[i][k+1] - p * q; + } + + // Accumulate transformations + + for (int i = low; i <= high; i++) { + p = x * V[i][k] + y * V[i][k+1]; + if (notlast) { + p = p + z * V[i][k+2]; + V[i][k+2] = V[i][k+2] - p * r; + } + V[i][k] = V[i][k] - p; + V[i][k+1] = V[i][k+1] - p * q; + } + } // (s != 0) + } // k loop + } // check convergence + } // while (n >= low) + + // Backsubstitute to find vectors of upper triangular form + + if (norm == 0.0) { + return; + } + + for (n = nn-1; n >= 0; n--) { + p = d[n]; + q = e[n]; + + // Real vector + + if (q == 0) { + int l = n; + H[n][n] = 1.0; + for (int i = n-1; i >= 0; i--) { + w = H[i][i] - p; + r = 0.0; + for (int j = l; j <= n; j++) { + r = r + H[i][j] * H[j][n]; + } + if (e[i] < 0.0) { + z = w; + s = r; + } else { + l = i; + if (e[i] == 0.0) { + if (w != 0.0) { + H[i][n] = -r / w; + } else { + H[i][n] = -r / (eps * norm); + } + + // Solve real equations + + } else { + x = H[i][i+1]; + y = H[i+1][i]; + q = (d[i] - p) * (d[i] - p) + e[i] * e[i]; + t = (x * s - z * r) / q; + H[i][n] = t; + if (abs(x) > abs(z)) { + H[i+1][n] = (-r - w * t) / x; + } else { + H[i+1][n] = (-s - y * t) / z; + } + } + + // Overflow control + + t = abs(H[i][n]); + if ((eps * t) * t > 1) { + for (int j = i; j <= n; j++) { + H[j][n] = H[j][n] / t; + } + } + } + } + + // Complex vector + + } else if (q < 0) { + int l = n-1; + + // Last vector component imaginary so matrix is triangular + + if (abs(H[n][n-1]) > abs(H[n-1][n])) { + H[n-1][n-1] = q / H[n][n-1]; + H[n-1][n] = -(H[n][n] - p) / H[n][n-1]; + } else { + cdiv(0.0,-H[n-1][n],H[n-1][n-1]-p,q); + H[n-1][n-1] = cdivr; + H[n-1][n] = cdivi; + } + H[n][n-1] = 0.0; + H[n][n] = 1.0; + for (int i = n-2; i >= 0; i--) { + Real ra,sa,vr,vi; + ra = 0.0; + sa = 0.0; + for (int j = l; j <= n; j++) { + ra = ra + H[i][j] * H[j][n-1]; + sa = sa + H[i][j] * H[j][n]; + } + w = H[i][i] - p; + + if (e[i] < 0.0) { + z = w; + r = ra; + s = sa; + } else { + l = i; + if (e[i] == 0) { + cdiv(-ra,-sa,w,q); + H[i][n-1] = cdivr; + H[i][n] = cdivi; + } else { + + // Solve complex equations + + x = H[i][i+1]; + y = H[i+1][i]; + vr = (d[i] - p) * (d[i] - p) + e[i] * e[i] - q * q; + vi = (d[i] - p) * 2.0 * q; + if ((vr == 0.0) && (vi == 0.0)) { + vr = eps * norm * (abs(w) + abs(q) + + abs(x) + abs(y) + abs(z)); + } + cdiv(x*r-z*ra+q*sa,x*s-z*sa-q*ra,vr,vi); + H[i][n-1] = cdivr; + H[i][n] = cdivi; + if (abs(x) > (abs(z) + abs(q))) { + H[i+1][n-1] = (-ra - w * H[i][n-1] + q * H[i][n]) / x; + H[i+1][n] = (-sa - w * H[i][n] - q * H[i][n-1]) / x; + } else { + cdiv(-r-y*H[i][n-1],-s-y*H[i][n],z,q); + H[i+1][n-1] = cdivr; + H[i+1][n] = cdivi; + } + } + + // Overflow control + + t = TNT::max(abs(H[i][n-1]),abs(H[i][n])); + if ((eps * t) * t > 1) { + for (int j = i; j <= n; j++) { + H[j][n-1] = H[j][n-1] / t; + H[j][n] = H[j][n] / t; + } + } + } + } + } + } + + // Vectors of isolated roots + + for (int i = 0; i < nn; i++) { + if (i < low || i > high) { + for (int j = i; j < nn; j++) { + V[i][j] = H[i][j]; + } + } + } + + // Back transformation to get eigenvectors of original matrix + + for (int j = nn-1; j >= low; j--) { + for (int i = low; i <= high; i++) { + z = 0.0; + for (int k = low; k <= TNT::min(j,high); k++) { + z = z + V[i][k] * H[k][j]; + } + V[i][j] = z; + } + } + } + +public: + + + /** Check for symmetry, then construct the eigenvalue decomposition + @param A Square real (non-complex) matrix + */ + + Eigenvalue(const TNT::Array2D &A) { + n = A.dim2(); + V = Array2D(n,n); + d = Array1D(n); + e = Array1D(n); + + issymmetric = 1; + for (int j = 0; (j < n) && issymmetric; j++) { + for (int i = 0; (i < n) && issymmetric; i++) { + issymmetric = (A[i][j] == A[j][i]); + } + } + + if (issymmetric) { + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + V[i][j] = A[i][j]; + } + } + + // Tridiagonalize. + tred2(); + + // Diagonalize. + tql2(); + + } else { + H = TNT::Array2D(n,n); + ort = TNT::Array1D(n); + + for (int j = 0; j < n; j++) { + for (int i = 0; i < n; i++) { + H[i][j] = A[i][j]; + } + } + + // Reduce to Hessenberg form. + orthes(); + + // Reduce Hessenberg to real Schur form. + hqr2(); + } + } + + + /** Return the eigenvector matrix + @return V + */ + + void getV (TNT::Array2D &V_) { + V_ = V; + return; + } + + /** Return the real parts of the eigenvalues + @return real(diag(D)) + */ + + void getRealEigenvalues (TNT::Array1D &d_) { + d_ = d; + return ; + } + + /** Return the imaginary parts of the eigenvalues + in parameter e_. + + @pararm e_: new matrix with imaginary parts of the eigenvalues. + */ + void getImagEigenvalues (TNT::Array1D &e_) { + e_ = e; + return; + } + + +/** + Computes the block diagonal eigenvalue matrix. + If the original matrix A is not symmetric, then the eigenvalue + matrix D is block diagonal with the real eigenvalues in 1-by-1 + blocks and any complex eigenvalues, + a + i*b, in 2-by-2 blocks, [a, b; -b, a]. That is, if the complex + eigenvalues look like +

    +
+          u + iv     .        .          .      .    .
+            .      u - iv     .          .      .    .
+            .        .      a + ib       .      .    .
+            .        .        .        a - ib   .    .
+            .        .        .          .      x    .
+            .        .        .          .      .    y
+
    + then D looks like +
    +
+            u        v        .          .      .    .
+           -v        u        .          .      .    . 
+            .        .        a          b      .    .
+            .        .       -b          a      .    .
+            .        .        .          .      x    .
+            .        .        .          .      .    y
+
    + This keeps V a real matrix in both symmetric and non-symmetric + cases, and A*V = V*D. + + @param D: upon return, the matrix is filled with the block diagonal + eigenvalue matrix. + +*/ + void getD (TNT::Array2D &D) { + D = Array2D(n,n); + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + D[i][j] = 0.0; + } + D[i][i] = d[i]; + if (e[i] > 0) { + D[i][i+1] = e[i]; + } else if (e[i] < 0) { + D[i][i-1] = e[i]; + } + } + } +}; + +} //namespace JAMA + + +#endif +// JAMA_EIG_H diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/jama_lu.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/jama_lu.h.svn-base new file mode 100644 index 0000000..3c1fd19 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/jama_lu.h.svn-base @@ -0,0 +1,319 @@ +#ifndef JAMA_LU_H +#define JAMA_LU_H + +#include "tnt.h" + +// using namespace TNT; + + +namespace JAMA +{ + + /** LU Decomposition. +

    + For an m-by-n matrix A with m >= n, the LU decomposition is an m-by-n + unit lower triangular matrix L, an n-by-n upper triangular matrix U, + and a permutation vector piv of length m so that A(piv,:) = L*U. + If m < n, then L is m-by-m and U is m-by-n. +

    + The LU decompostion with pivoting always exists, even if the matrix is + singular, so the constructor will never fail. The primary use of the + LU decomposition is in the solution of square systems of simultaneous + linear equations. This will fail if isNonsingular() returns false. + */ +template +class LU +{ + + + + /* Array for internal storage of decomposition. */ + Array2D LU_; + int m, n, pivsign; + Array1D piv; + + + Array2D permute_copy(const Array2D &A, + const Array1D &piv, int j0, int j1) + { + int piv_length = piv.dim(); + + Array2D X(piv_length, j1-j0+1); + + + for (int i = 0; i < piv_length; i++) + for (int j = j0; j <= j1; j++) + X[i][j-j0] = A[piv[i]][j]; + + return X; + } + + Array1D permute_copy(const Array1D &A, + const Array1D &piv) + { + int piv_length = piv.dim(); + if (piv_length != A.dim()) + return Array1D(); + + Array1D x(piv_length); + + + for (int i = 0; i < piv_length; i++) + x[i] = A[piv[i]]; + + return x; + } + + + public : + + /** LU Decomposition + @param A Rectangular matrix + @return LU Decomposition object to access L, U and piv. + */ + + LU (const Array2D &A) : LU_(A.copy()), m(A.dim1()), n(A.dim2()), + piv(A.dim1()) + + { + + // Use a "left-looking", dot-product, Crout/Doolittle algorithm. + + int i=0; + int j=0; + int k=0; + + for (i = 0; i < m; i++) { + piv[i] = i; + } + pivsign = 1; + Real *LUrowi = 0;; + Array1D LUcolj(m); + + // Outer loop. + + for (j = 0; j < n; j++) { + + // Make a copy of the j-th column to localize references. + + for (i = 0; i < m; i++) { + LUcolj[i] = LU_[i][j]; + } + + // Apply previous transformations. + + for (int i = 0; i < m; i++) { + LUrowi = LU_[i]; + + // Most of the time is spent in the following dot product. + + int kmax = TNT_MIN(i,j); + double s = 0.0; + for (k = 0; k < kmax; k++) { + s += LUrowi[k]*LUcolj[k]; + } + + LUrowi[j] = LUcolj[i] -= s; + } + + // Find pivot and exchange if necessary. + + int p = j; + for (int i = j+1; i < m; i++) { + if (TNT_ABS(LUcolj[i]) > TNT_ABS(LUcolj[p])) { + p = i; + } + } + if (p != j) { + for (k = 0; k < n; k++) { + double t = LU_[p][k]; + LU_[p][k] = LU_[j][k]; + LU_[j][k] = t; + } + k = piv[p]; + piv[p] = piv[j]; + piv[j] = k; + pivsign = -pivsign; + } + + // Compute multipliers. + + if ((j < m) && (LU_[j][j] != 0.0)) { + for (int i = j+1; i < m; i++) { + LU_[i][j] /= LU_[j][j]; + } + } + } + } + + + /** Is the matrix nonsingular? + @return 1 (true) if upper triangular factor U (and hence A) + is nonsingular, 0 otherwise. + */ + + int isNonsingular () { + for (int j = 0; j < n; j++) { + if (LU_[j][j] == 0) + return 0; + } + return 1; + } + + /** Return lower triangular factor + @return L + */ + + Array2D getL () { + Array2D L_(m,n); + for (int i = 0; i < m; i++) { + for (int j = 0; j < n; j++) { + if (i > j) { + L_[i][j] = LU_[i][j]; + } else if (i == j) { + L_[i][j] = 1.0; + } else { + L_[i][j] = 0.0; + } + } + } + return L_; + } + + /** Return upper triangular factor + @return U portion of LU factorization. + */ + + Array2D getU () { + Array2D U_(n,n); + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + if (i <= j) { + U_[i][j] = LU_[i][j]; + } else { + U_[i][j] = 0.0; + } + } + } + return U_; + } + + /** Return pivot permutation vector + @return piv + */ + + Array1D getPivot () { + return piv; + } + + + /** Compute determinant using LU factors. + @return determinant of A, or 0 if A is not square. + */ + + Real det () { + if (m != n) { + return Real(0); + } + Real d = Real(pivsign); + for (int j = 0; j < n; j++) { + d *= LU_[j][j]; + } + return d; + } + + /** Solve A*X = B + @param B A Matrix with as many rows as A and any number of columns. + @return X so that L*U*X = B(piv,:), if B is nonconformant, returns + 0x0 (null) array. + */ + + Array2D solve (const Array2D &B) + { + + /* Dimensions: A is mxn, X is nxk, B is mxk */ + + if (B.dim1() != m) { + return Array2D(0,0); + } + if (!isNonsingular()) { + return Array2D(0,0); + } + + // Copy right hand side with pivoting + int nx = B.dim2(); + + + Array2D X = permute_copy(B, piv, 0, nx-1); + + // Solve L*Y = B(piv,:) + for (int k = 0; k < n; k++) { + for (int i = k+1; i < n; i++) { + for (int j = 0; j < nx; j++) { + X[i][j] -= X[k][j]*LU_[i][k]; + } + } + } + // Solve U*X = Y; + for (int k = n-1; k >= 0; k--) { + for (int j = 0; j < nx; j++) { + X[k][j] /= LU_[k][k]; + } + for (int i = 0; i < k; i++) { + for (int j = 0; j < nx; j++) { + X[i][j] -= X[k][j]*LU_[i][k]; + } + } + } + return X; + } + + + /** Solve A*x = b, where x and b are vectors of length equal + to the number of rows in A. + + @param b a vector (Array1D> of length equal to the first dimension + of A. + @return x a vector (Array1D> so that L*U*x = b(piv), if B is nonconformant, + returns 0x0 (null) array. + */ + + Array1D solve (const Array1D &b) + { + + /* Dimensions: A is mxn, X is nxk, B is mxk */ + + if (b.dim1() != m) { + return Array1D(); + } + if (!isNonsingular()) { + return Array1D(); + } + + + Array1D x = permute_copy(b, piv); + + // Solve L*Y = B(piv) + for (int k = 0; k < n; k++) { + for (int i = k+1; i < n; i++) { + x[i] -= x[k]*LU_[i][k]; + } + } + + // Solve U*X = Y; + for (int k = n-1; k >= 0; k--) { + x[k] /= LU_[k][k]; + for (int i = 0; i < k; i++) + x[i] -= x[k]*LU_[i][k]; + } + + + return x; + } + +}; /* class LU */ + +} /* namespace JAMA */ + +#endif +/* JAMA_LU_H */ diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/jama_qr.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/jama_qr.h.svn-base new file mode 100644 index 0000000..98c8679 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/jama_qr.h.svn-base @@ -0,0 +1,327 @@ +#ifndef JAMA_QR_H +#define JAMA_QR_H + +#include "tnt_array1d.h" +#include "tnt_array2d.h" +#include "tnt_math_utils.h" + +namespace JAMA +{ + +/** +

    + Classical QR Decompisition: + for an m-by-n matrix A with m >= n, the QR decomposition is an m-by-n + orthogonal matrix Q and an n-by-n upper triangular matrix R so that + A = Q*R. +

    + The QR decompostion always exists, even if the matrix does not have + full rank, so the constructor will never fail. The primary use of the + QR decomposition is in the least squares solution of nonsquare systems + of simultaneous linear equations. This will fail if isFullRank() + returns 0 (false). + +

    + The Q and R factors can be retrived via the getQ() and getR() + methods. Furthermore, a solve() method is provided to find the + least squares solution of Ax=b using the QR factors. + +

    + (Adapted from JAMA, a Java Matrix Library, developed by jointly + by the Mathworks and NIST; see http://math.nist.gov/javanumerics/jama). +*/ + +template +class QR { + + + /** Array for internal storage of decomposition. + @serial internal array storage. + */ + + TNT::Array2D QR_; + + /** Row and column dimensions. + @serial column dimension. + @serial row dimension. + */ + int m, n; + + /** Array for internal storage of diagonal of R. + @serial diagonal of R. + */ + TNT::Array1D Rdiag; + + +public: + +/** + Create a QR factorization object for A. + + @param A rectangular (m>=n) matrix. +*/ + QR(const TNT::Array2D &A) /* constructor */ + { + QR_ = A.copy(); + m = A.dim1(); + n = A.dim2(); + Rdiag = TNT::Array1D(n); + int i=0, j=0, k=0; + + // Main loop. + for (k = 0; k < n; k++) { + // Compute 2-norm of k-th column without under/overflow. + Real nrm = 0; + for (i = k; i < m; i++) { + nrm = hypot(nrm,QR_[i][k]); + } + + if (nrm != 0.0) { + // Form k-th Householder vector. + if (QR_[k][k] < 0) { + nrm = -nrm; + } + for (i = k; i < m; i++) { + QR_[i][k] /= nrm; + } + QR_[k][k] += 1.0; + + // Apply transformation to remaining columns. + for (j = k+1; j < n; j++) { + Real s = 0.0; + for (i = k; i < m; i++) { + s += QR_[i][k]*QR_[i][j]; + } + s = -s/QR_[k][k]; + for (i = k; i < m; i++) { + QR_[i][j] += s*QR_[i][k]; + } + } + } + Rdiag[k] = -nrm; + } + } + + +/** + Flag to denote the matrix is of full rank. + + @return 1 if matrix is full rank, 0 otherwise. +*/ + int isFullRank() const + { + for (int j = 0; j < n; j++) + { + if (Rdiag[j] == 0) + return 0; + } + return 1; + } + + + + + /** + + Retreive the Householder vectors from QR factorization + @returns lower trapezoidal matrix whose columns define the reflections + */ + + TNT::Array2D getHouseholder (void) const + { + TNT::Array2D H(m,n); + + /* note: H is completely filled in by algorithm, so + initializaiton of H is not necessary. + */ + for (int i = 0; i < m; i++) + { + for (int j = 0; j < n; j++) + { + if (i >= j) { + H[i][j] = QR_[i][j]; + } else { + H[i][j] = 0.0; + } + } + } + return H; + } + + + + /** Return the upper triangular factor, R, of the QR factorization + @return R + */ + + TNT::Array2D getR() const + { + TNT::Array2D R(n,n); + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + if (i < j) { + R[i][j] = QR_[i][j]; + } else if (i == j) { + R[i][j] = Rdiag[i]; + } else { + R[i][j] = 0.0; + } + } + } + return R; + } + + + + + + /** + Generate and return the (economy-sized) orthogonal factor + @param Q the (ecnomy-sized) orthogonal factor (Q*R=A). + */ + + TNT::Array2D getQ() const + { + int i=0, j=0, k=0; + + TNT::Array2D Q(m,n); + for (k = n-1; k >= 0; k--) { + for (i = 0; i < m; i++) { + Q[i][k] = 0.0; + } + Q[k][k] = 1.0; + for (j = k; j < n; j++) { + if (QR_[k][k] != 0) { + Real s = 0.0; + for (i = k; i < m; i++) { + s += QR_[i][k]*Q[i][j]; + } + s = -s/QR_[k][k]; + for (i = k; i < m; i++) { + Q[i][j] += s*QR_[i][k]; + } + } + } + } + return Q; + } + + + /** Least squares solution of A*x = b + @param B m-length array (vector). + @return x n-length array (vector) that minimizes the two norm of Q*R*X-B. + If B is non-conformant, or if QR.isFullRank() is false, + the routine returns a null (0-length) vector. + */ + + TNT::Array1D solve(const TNT::Array1D &b) const + { + if (b.dim1() != m) /* arrays must be conformant */ + return TNT::Array1D(); + + if ( !isFullRank() ) /* matrix is rank deficient */ + { + return TNT::Array1D(); + } + + TNT::Array1D x = b.copy(); + int i=0, j=0, k=0; + + // Compute Y = transpose(Q)*b + for (k = 0; k < n; k++) + { + Real s = 0.0; + for (i = k; i < m; i++) + { + s += QR_[i][k]*x[i]; + } + s = -s/QR_[k][k]; + for (i = k; i < m; i++) + { + x[i] += s*QR_[i][k]; + } + } + // Solve R*X = Y; + for (k = n-1; k >= 0; k--) + { + x[k] /= Rdiag[k]; + for (i = 0; i < k; i++) { + x[i] -= x[k]*QR_[i][k]; + } + } + + + /* return n x nx portion of X */ + TNT::Array1D x_(n); + for (i=0; i solve(const TNT::Array2D &B) const + { + if (B.dim1() != m) /* arrays must be conformant */ + return TNT::Array2D(0,0); + + if ( !isFullRank() ) /* matrix is rank deficient */ + { + return TNT::Array2D(0,0); + } + + int nx = B.dim2(); + TNT::Array2D X = B.copy(); + int i=0, j=0, k=0; + + // Compute Y = transpose(Q)*B + for (k = 0; k < n; k++) { + for (j = 0; j < nx; j++) { + Real s = 0.0; + for (i = k; i < m; i++) { + s += QR_[i][k]*X[i][j]; + } + s = -s/QR_[k][k]; + for (i = k; i < m; i++) { + X[i][j] += s*QR_[i][k]; + } + } + } + // Solve R*X = Y; + for (k = n-1; k >= 0; k--) { + for (j = 0; j < nx; j++) { + X[k][j] /= Rdiag[k]; + } + for (i = 0; i < k; i++) { + for (j = 0; j < nx; j++) { + X[i][j] -= X[k][j]*QR_[i][k]; + } + } + } + + + /* return n x nx portion of X */ + TNT::Array2D X_(n,nx); + for (i=0; i + For an m-by-n matrix A with m >= n, the singular value decomposition is + an m-by-n orthogonal matrix U, an n-by-n diagonal matrix S, and + an n-by-n orthogonal matrix V so that A = U*S*V'. +

    + The singular values, sigma[k] = S[k][k], are ordered so that + sigma[0] >= sigma[1] >= ... >= sigma[n-1]. +

    + The singular value decompostion always exists, so the constructor will + never fail. The matrix condition number and the effective numerical + rank can be computed from this decomposition. + +

    + (Adapted from JAMA, a Java Matrix Library, developed by jointly + by the Mathworks and NIST; see http://math.nist.gov/javanumerics/jama). + */ +template +class SVD +{ + + + Array2D U, V; + Array1D s; + int m, n; + + public: + + + SVD (const Array2D &Arg) { + + + m = Arg.dim1(); + n = Arg.dim2(); + int nu = TNT::min(m,n); + s = Array1D(TNT::min(m+1,n)); + U = Array2D(m, nu, Real(0)); + V = Array2D(n,n); + Array1D e(n); + Array1D work(m); + Array2D A(Arg.copy()); + int wantu = 1; /* boolean */ + int wantv = 1; /* boolean */ + int i=0, j=0, k=0; + + // Reduce A to bidiagonal form, storing the diagonal elements + // in s and the super-diagonal elements in e. + + int nct = TNT::min(m-1,n); + int nrt = TNT::max(0,TNT::min(n-2,m)); + for (k = 0; k < TNT::max(nct,nrt); k++) { + if (k < nct) { + + // Compute the transformation for the k-th column and + // place the k-th diagonal in s[k]. + // Compute 2-norm of k-th column without under/overflow. + s[k] = 0; + for (i = k; i < m; i++) { + s[k] = TNT::hypot(s[k],A[i][k]); + } + if (s[k] != 0.0) { + if (A[k][k] < 0.0) { + s[k] = -s[k]; + } + for (i = k; i < m; i++) { + A[i][k] /= s[k]; + } + A[k][k] += 1.0; + } + s[k] = -s[k]; + } + for (j = k+1; j < n; j++) { + if ((k < nct) && (s[k] != 0.0)) { + + // Apply the transformation. + + double t = 0; + for (i = k; i < m; i++) { + t += A[i][k]*A[i][j]; + } + t = -t/A[k][k]; + for (i = k; i < m; i++) { + A[i][j] += t*A[i][k]; + } + } + + // Place the k-th row of A into e for the + // subsequent calculation of the row transformation. + + e[j] = A[k][j]; + } + if (wantu & (k < nct)) { + + // Place the transformation in U for subsequent back + // multiplication. + + for (i = k; i < m; i++) { + U[i][k] = A[i][k]; + } + } + if (k < nrt) { + + // Compute the k-th row transformation and place the + // k-th super-diagonal in e[k]. + // Compute 2-norm without under/overflow. + e[k] = 0; + for (i = k+1; i < n; i++) { + e[k] = TNT::hypot(e[k],e[i]); + } + if (e[k] != 0.0) { + if (e[k+1] < 0.0) { + e[k] = -e[k]; + } + for (i = k+1; i < n; i++) { + e[i] /= e[k]; + } + e[k+1] += 1.0; + } + e[k] = -e[k]; + if ((k+1 < m) & (e[k] != 0.0)) { + + // Apply the transformation. + + for (i = k+1; i < m; i++) { + work[i] = 0.0; + } + for (j = k+1; j < n; j++) { + for (i = k+1; i < m; i++) { + work[i] += e[j]*A[i][j]; + } + } + for (j = k+1; j < n; j++) { + double t = -e[j]/e[k+1]; + for (i = k+1; i < m; i++) { + A[i][j] += t*work[i]; + } + } + } + if (wantv) { + + // Place the transformation in V for subsequent + // back multiplication. + + for (i = k+1; i < n; i++) { + V[i][k] = e[i]; + } + } + } + } + + // Set up the final bidiagonal matrix or order p. + + int p = TNT::min(n,m+1); + if (nct < n) { + s[nct] = A[nct][nct]; + } + if (m < p) { + s[p-1] = 0.0; + } + if (nrt+1 < p) { + e[nrt] = A[nrt][p-1]; + } + e[p-1] = 0.0; + + // If required, generate U. + + if (wantu) { + for (j = nct; j < nu; j++) { + for (i = 0; i < m; i++) { + U[i][j] = 0.0; + } + U[j][j] = 1.0; + } + for (k = nct-1; k >= 0; k--) { + if (s[k] != 0.0) { + for (j = k+1; j < nu; j++) { + double t = 0; + for (i = k; i < m; i++) { + t += U[i][k]*U[i][j]; + } + t = -t/U[k][k]; + for (i = k; i < m; i++) { + U[i][j] += t*U[i][k]; + } + } + for (i = k; i < m; i++ ) { + U[i][k] = -U[i][k]; + } + U[k][k] = 1.0 + U[k][k]; + for (i = 0; i < k-1; i++) { + U[i][k] = 0.0; + } + } else { + for (i = 0; i < m; i++) { + U[i][k] = 0.0; + } + U[k][k] = 1.0; + } + } + } + + // If required, generate V. + + if (wantv) { + for (k = n-1; k >= 0; k--) { + if ((k < nrt) & (e[k] != 0.0)) { + for (j = k+1; j < nu; j++) { + double t = 0; + for (i = k+1; i < n; i++) { + t += V[i][k]*V[i][j]; + } + t = -t/V[k+1][k]; + for (i = k+1; i < n; i++) { + V[i][j] += t*V[i][k]; + } + } + } + for (i = 0; i < n; i++) { + V[i][k] = 0.0; + } + V[k][k] = 1.0; + } + } + + // Main iteration loop for the singular values. + + int pp = p-1; + int iter = 0; + double eps = pow(2.0,-52.0); + while (p > 0) { + int k=0; + int kase=0; + + // Here is where a test for too many iterations would go. + + // This section of the program inspects for + // negligible elements in the s and e arrays. On + // completion the variables kase and k are set as follows. + + // kase = 1 if s(p) and e[k-1] are negligible and k

    = -1; k--) { + if (k == -1) { + break; + } + if (abs(e[k]) <= eps*(abs(s[k]) + abs(s[k+1]))) { + e[k] = 0.0; + break; + } + } + if (k == p-2) { + kase = 4; + } else { + int ks; + for (ks = p-1; ks >= k; ks--) { + if (ks == k) { + break; + } + double t = (ks != p ? abs(e[ks]) : 0.) + + (ks != k+1 ? abs(e[ks-1]) : 0.); + if (abs(s[ks]) <= eps*t) { + s[ks] = 0.0; + break; + } + } + if (ks == k) { + kase = 3; + } else if (ks == p-1) { + kase = 1; + } else { + kase = 2; + k = ks; + } + } + k++; + + // Perform the task indicated by kase. + + switch (kase) { + + // Deflate negligible s(p). + + case 1: { + double f = e[p-2]; + e[p-2] = 0.0; + for (j = p-2; j >= k; j--) { + double t = hypot(s[j],f); + double cs = s[j]/t; + double sn = f/t; + s[j] = t; + if (j != k) { + f = -sn*e[j-1]; + e[j-1] = cs*e[j-1]; + } + if (wantv) { + for (i = 0; i < n; i++) { + t = cs*V[i][j] + sn*V[i][p-1]; + V[i][p-1] = -sn*V[i][j] + cs*V[i][p-1]; + V[i][j] = t; + } + } + } + } + break; + + // Split at negligible s(k). + + case 2: { + double f = e[k-1]; + e[k-1] = 0.0; + for (j = k; j < p; j++) { + double t = hypot(s[j],f); + double cs = s[j]/t; + double sn = f/t; + s[j] = t; + f = -sn*e[j]; + e[j] = cs*e[j]; + if (wantu) { + for (i = 0; i < m; i++) { + t = cs*U[i][j] + sn*U[i][k-1]; + U[i][k-1] = -sn*U[i][j] + cs*U[i][k-1]; + U[i][j] = t; + } + } + } + } + break; + + // Perform one qr step. + + case 3: { + + // Calculate the shift. + + double scale = TNT::max(TNT::max(TNT::max(TNT::max( + TNT::abs(s[p-1]),TNT::abs(s[p-2])),TNT::abs(e[p-2])), + TNT::abs(s[k])),TNT::abs(e[k])); + double sp = s[p-1]/scale; + double spm1 = s[p-2]/scale; + double epm1 = e[p-2]/scale; + double sk = s[k]/scale; + double ek = e[k]/scale; + double b = ((spm1 + sp)*(spm1 - sp) + epm1*epm1)/2.0; + double c = (sp*epm1)*(sp*epm1); + double shift = 0.0; + if ((b != 0.0) | (c != 0.0)) { + shift = sqrt(b*b + c); + if (b < 0.0) { + shift = -shift; + } + shift = c/(b + shift); + } + double f = (sk + sp)*(sk - sp) + shift; + double g = sk*ek; + + // Chase zeros. + + for (j = k; j < p-1; j++) { + double t = hypot(f,g); + double cs = f/t; + double sn = g/t; + if (j != k) { + e[j-1] = t; + } + f = cs*s[j] + sn*e[j]; + e[j] = cs*e[j] - sn*s[j]; + g = sn*s[j+1]; + s[j+1] = cs*s[j+1]; + if (wantv) { + for (i = 0; i < n; i++) { + t = cs*V[i][j] + sn*V[i][j+1]; + V[i][j+1] = -sn*V[i][j] + cs*V[i][j+1]; + V[i][j] = t; + } + } + t = hypot(f,g); + cs = f/t; + sn = g/t; + s[j] = t; + f = cs*e[j] + sn*s[j+1]; + s[j+1] = -sn*e[j] + cs*s[j+1]; + g = sn*e[j+1]; + e[j+1] = cs*e[j+1]; + if (wantu && (j < m-1)) { + for (i = 0; i < m; i++) { + t = cs*U[i][j] + sn*U[i][j+1]; + U[i][j+1] = -sn*U[i][j] + cs*U[i][j+1]; + U[i][j] = t; + } + } + } + e[p-2] = f; + iter = iter + 1; + } + break; + + // Convergence. + + case 4: { + + // Make the singular values positive. + + if (s[k] <= 0.0) { + s[k] = (s[k] < 0.0 ? -s[k] : 0.0); + if (wantv) { + for (i = 0; i <= pp; i++) { + V[i][k] = -V[i][k]; + } + } + } + + // Order the singular values. + + while (k < pp) { + if (s[k] >= s[k+1]) { + break; + } + double t = s[k]; + s[k] = s[k+1]; + s[k+1] = t; + if (wantv && (k < n-1)) { + for (i = 0; i < n; i++) { + t = V[i][k+1]; V[i][k+1] = V[i][k]; V[i][k] = t; + } + } + if (wantu && (k < m-1)) { + for (i = 0; i < m; i++) { + t = U[i][k+1]; U[i][k+1] = U[i][k]; U[i][k] = t; + } + } + k++; + } + iter = 0; + p--; + } + break; + } + } + } + + + void getU (Array2D &A) + { + int minm = TNT::min(m+1,n); + + A = Array2D(m, minm); + + for (int i=0; i &A) + { + A = V; + } + + /** Return the one-dimensional array of singular values */ + + void getSingularValues (Array1D &x) + { + x = s; + } + + /** Return the diagonal matrix of singular values + @return S + */ + + void getS (Array2D &A) { + A = Array2D(n,n); + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + A[i][j] = 0.0; + } + A[i][i] = s[i]; + } + } + + /** Two norm (max(S)) */ + + double norm2 () { + return s[0]; + } + + /** Two norm of condition number (max(S)/min(S)) */ + + double cond () { + return s[0]/s[TNT::min(m,n)-1]; + } + + /** Effective numerical matrix rank + @return Number of nonnegligible singular values. + */ + + int rank () + { + double eps = pow(2.0,-52.0); + double tol = TNT::max(m,n)*s[0]*eps; + int r = 0; + for (int i = 0; i < s.dim(); i++) { + if (s[i] > tol) { + r++; + } + } + return r; + } +}; + +} +#endif +// JAMA_SVD_H diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt.h.svn-base new file mode 100644 index 0000000..911f3b9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt.h.svn-base @@ -0,0 +1,65 @@ +/* +* +* Template Numerical Toolkit (TNT): Linear Algebra Module +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + +#ifndef TNT_H +#define TNT_H + + + +//--------------------------------------------------------------------- +// Define this macro if you want TNT to track some of the out-of-bounds +// indexing. This can encur a small run-time overhead, but is recommended +// while developing code. It can be turned off for production runs. +// +// #define TNT_BOUNDS_CHECK +//--------------------------------------------------------------------- +// + +//#define TNT_BOUNDS_CHECK + + +#include "tnt_version.h" + +#include "tnt_array1d.h" +#include "tnt_array2d.h" +#include "tnt_array3d.h" +#include "tnt_array1d_utils.h" +#include "tnt_array2d_utils.h" +#include "tnt_array3d_utils.h" + +#include "tnt_fortran_array1d.h" +#include "tnt_fortran_array2d.h" +#include "tnt_fortran_array3d.h" +#include "tnt_fortran_array1d_utils.h" +#include "tnt_fortran_array2d_utils.h" +#include "tnt_fortran_array3d_utils.h" + +#include "tnt_sparse_matrix_csr.h" + +#include "tnt_stopwatch.h" +#include "tnt_math_utils.h" + +#include "tnt_subscript.h" +#include "tnt_vec.h" +#include "tnt_cmat.h" + + +#endif +// TNT_H diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_array1d.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_array1d.h.svn-base new file mode 100644 index 0000000..bf64a8f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_array1d.h.svn-base @@ -0,0 +1,418 @@ +/* +* +* Template Numerical Toolkit (TNT) +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + + +#ifndef TNT_ARRAY1D_H +#define TNT_ARRAY1D_H + +#include +#include + +#ifdef TNT_BOUNDS_CHECK +#include +#endif + +namespace TNT +{ + +/** + Tempplated one-dimensional, numerical array which + looks like a conventional C array. + Elements are accessed via the familiar A[i] notation. + +

    + Array assignment is by reference (i.e. shallow assignment). + That is, B=A implies that the A and B point to the + same array, so modifications to the elements of A + will be reflected in B. If an independent copy + is required, then B = A.copy() can be used. Note + that this facilitates returning arrays from functions + without relying on compiler optimizations to eliminate + extensive data copying. + +

    + The indexing and layout of this array object makes + it compatible with C and C++ algorithms that utilize + the familiar C[i] notation. This includes numerous + textbooks, such as Numercial Recipes, and various + public domain codes. + +

    + This class employs its own garbage collection via + the use of reference counts. That is, whenever + an internal array storage no longer has any references + to it, it is destoryed. +*/ +template +class Array1D +{ + + + private: + T* v_; + int n_; + int *ref_count_; + + void initialize_(int n); + void copy_(T* p, const T* q, int len) const; + void set_(const T& val); + void destroy_(); + inline const T* begin_() const; + inline T* begin_(); + + public: + + typedef T value_type; + + Array1D(); + explicit Array1D(int n); + Array1D(int n, T *a); + Array1D(int n, const T &a); + inline Array1D(const Array1D &A); + inline Array1D & operator=(const T &a); + inline Array1D & operator=(const Array1D &A); + inline Array1D & ref(const Array1D &A); + Array1D copy() const; + Array1D & inject(const Array1D & A); + inline T& operator[](int i); + inline const T& operator[](int i) const; + inline int dim1() const; + inline int dim() const; + inline int ref_count() const; + ~Array1D(); + + +}; + +/** + Null constructor. Creates a 0-length (NULL) array. + (Reference count is also zero.) +*/ + +template +Array1D::Array1D() : v_(0), n_(0), ref_count_(0) +{ + ref_count_ = new int; + *ref_count_ = 1; +} + +/** + Copy constructor. Array data is NOT copied, but shared. + Thus, in Array1D B(A), subsequent changes to A will + be reflected in B. For an indepent copy of A, use + Array1D B(A.copy()), or B = A.copy(), instead. +*/ +template +Array1D::Array1D(const Array1D &A) : v_(A.v_), + n_(A.n_), ref_count_(A.ref_count_) +{ + (*ref_count_)++; +} + + + +/** + Create a new array (vector) of length n, + WIHOUT initializing array elements. + To create an initialized array of constants, see Array1D(n,value). + +

    + This version avoids the O(n) initialization overhead and + is used just before manual assignment. + + @param n the dimension (length) of the new matrix. +*/ +template +Array1D::Array1D(int n) : v_(0), n_(n), ref_count_(0) +{ + initialize_(n); + ref_count_ = new int; + *ref_count_ = 1; +} + + + +/** + Create a new array of length n, initializing array elements to + constant specified by argument. Most often used to + create an array of zeros, as in A(n, 0.0). + + @param n the dimension (length) of the new matrix. + @param val the constant value to set all elements of the new array to. +*/ +template +Array1D::Array1D(int n, const T &val) : v_(0), n_(n) , + ref_count_(0) +{ + initialize_(n); + set_(val); + ref_count_ = new int; + *ref_count_ = 1; + +} + +/** + Create a new n-length array, as a view of an existing one-dimensional + C array. (Note that the storage for this pre-existing array will + never be destroyed by the Aray1DRef class.) + + @param n the dimension (length) of the new matrix. + @param a the one dimensional C array to use as data storage for + the array. +*/ +template +Array1D::Array1D(int n, T *a) : v_(a), n_(n) , + ref_count_(0) +{ + ref_count_ = new int; + *ref_count_ = 2; /* this avoid destorying original data. */ + +} + +/** + A[i] indexes the ith element of A. The first element is + A[0]. If TNT_BOUNDS_CHECK is defined, then the index is + checked that it falls within the array bounds. +*/ +template +inline T& Array1D::operator[](int i) +{ +#ifdef TNT_BOUNDS_CHECK + assert(i>= 0); + assert(i < n_); +#endif + return v_[i]; +} + +/** + A[i] indexes the ith element of A. The first element is + A[0]. If TNT_BOUNDS_CHECK is defined, then the index is + checked that it fall within the array bounds. +*/ +template +inline const T& Array1D::operator[](int i) const +{ +#ifdef TNT_BOUNDS_CHECK + assert(i>= 0); + assert(i < n_); +#endif + return v_[i]; +} + +/** + Assign all elemnts of A to a constant scalar. +*/ +template +Array1D & Array1D::operator=(const T &a) +{ + set_(a); + return *this; +} +/** + Create a new of existing matrix. Used in B = A.copy() + or in the construction of B, e.g. Array1D B(A.copy()), + to create a new array that does not share data. + +*/ +template +Array1D Array1D::copy() const +{ + Array1D A( n_); + copy_(A.begin_(), begin_(), n_); + + return A; +} + + +/** + Copy the elements to from one array to another, in place. + That is B.inject(A), both A and B must conform (i.e. have + identical row and column dimensions). + + This differs from B = A.copy() in that references to B + before this assignment are also affected. That is, if + we have + 

    +	Array1D A(n);
+	Array1D C(n);
+	Array1D B(C);        // elements of B and C are shared. 
+
+
    + then B.inject(A) affects both and C, while B=A.copy() creates + a new array B which shares no data with C or A. + + @param A the array from which elements will be copied + @return an instance of the modifed array. That is, in B.inject(A), + it returns B. If A and B are not conformat, no modifications to + B are made. + +*/ +template +Array1D & Array1D::inject(const Array1D &A) +{ + if (A.n_ == n_) + copy_(begin_(), A.begin_(), n_); + + return *this; +} + + + + + +/** + Create a reference (shallow assignment) to another existing array. + In B.ref(A), B and A shared the same data and subsequent changes + to the array elements of one will be reflected in the other. +

    + This is what operator= calls, and B=A and B.ref(A) are equivalent + operations. + + @return The new referenced array: in B.ref(A), it returns B. +*/ +template +Array1D & Array1D::ref(const Array1D &A) +{ + if (this != &A) + { + (*ref_count_) --; + if ( *ref_count_ < 1) + { + destroy_(); + } + + n_ = A.n_; + v_ = A.v_; + ref_count_ = A.ref_count_; + + (*ref_count_) ++ ; + + } + return *this; +} + +/** + B = A is shorthand notation for B.ref(A). +*/ +template +Array1D & Array1D::operator=(const Array1D &A) +{ + return ref(A); +} + +/** + @return the dimension (number of elements) of the array. + This is equivalent to dim() and dim1(). +*/ +template +inline int Array1D::dim1() const { return n_; } + +/** + @return the dimension (number of elements) of the array. + This is equivalent to dim1() and dim1(). +*/ +template +inline int Array1D::dim() const { return n_; } + + + +/** + @return the number of arrays that share the same storage area + as this one. (Must be at least one.) +*/ +template +inline int Array1D::ref_count() const +{ + return *ref_count_; +} + +template +Array1D::~Array1D() +{ + (*ref_count_) --; + + if (*ref_count_ < 1) + destroy_(); +} + +/* private internal functions */ + +template +void Array1D::initialize_(int n) +{ + + + v_ = new T[n]; + n_ = n; +} + +template +void Array1D::set_(const T& a) +{ + T *begin = &(v_[0]); + T *end = begin+ n_; + + for (T* p=begin; p +void Array1D::copy_(T* p, const T* q, int len) const +{ + T *end = p + len; + while (p +void Array1D::destroy_() +{ + + if (v_ != 0) + { + delete[] (v_); + } + + if (ref_count_ != 0) + delete ref_count_; +} + +/** + @returns location of first element, i.e. A[0] (mutable). +*/ +template +const T* Array1D::begin_() const { return &(v_[0]); } + +/** + @returns location of first element, i.e. A[0] (mutable). +*/ +template +T* Array1D::begin_() { return &(v_[0]); } + + + + +} /* namespace TNT */ + +#endif +/* TNT_ARRAY1D_H */ + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_array1d_utils.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_array1d_utils.h.svn-base new file mode 100644 index 0000000..474c4f1 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_array1d_utils.h.svn-base @@ -0,0 +1,67 @@ + +#ifndef TNT_ARRAY1D_UTILS_H +#define TNT_ARRAY1D_UTILS_H + +#include +#include + +namespace TNT +{ + + +/** + Write an array to a character outstream. Output format is one that can + be read back in via the in-stream operator: one integer + denoting the array dimension (n), followed by n elements, + one per line. + +*/ +template +std::ostream& operator<<(std::ostream &s, const Array1D &A) +{ + int N=A.dim1(); + s << "GW_VectorND, size " << N << endl; + s << "|"; + for (int j=0; j + Note: the array being read into references new memory + storage. If the intent is to fill an existing conformant + array, use cin >> B; A.inject(B) ); + instead or read the elements in one-a-time by hand. + + @param s the charater to read from (typically std::in) + @param A the array to read into. +*/ +template +std::istream& operator>>(std::istream &s, Array1D &A) +{ + int N; + s >> N; + + Array1D B(N); + for (int i=0; i> B[i]; + A = B; + return s; +} + + + +} // namespace TNT + +#endif diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_array2d.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_array2d.h.svn-base new file mode 100644 index 0000000..a0a4e51 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_array2d.h.svn-base @@ -0,0 +1,435 @@ +/* +* +* Template Numerical Toolkit (TNT): Two-dimensional numerical array +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + + +#ifndef TNT_ARRAY2D_H +#define TNT_ARRAY2D_H + +#include +#include +#ifdef TNT_BOUNDS_CHECK +#include +#endif + +namespace TNT +{ + +/** + Tempplated two-dimensional, numerical array which + looks like a conventional C multiarray. + Storage corresponds to C (row-major) ordering. + Elements are accessed via A[i][j] notation. + +

    + Array assignment is by reference (i.e. shallow assignment). + That is, B=A implies that the A and B point to the + same array, so modifications to the elements of A + will be reflected in B. If an independent copy + is required, then B = A.copy() can be used. Note + that this facilitates returning arrays from functions + without relying on compiler optimizations to eliminate + extensive data copying. + +

    + The indexing and layout of this array object makes + it compatible with C and C++ algorithms that utilize + the familiar C[i][j] notation. This includes numerous + textbooks, such as Numercial Recipes, and various + public domain codes. + +

    + This class employs its own garbage collection via + the use of reference counts. That is, whenever + an internal array storage no longer has any references + to it, it is destoryed. +*/ +template +class Array2D +{ + + + private: + T** v_; + int m_; + int n_; + int *ref_count_; + + void initialize_(int m, int n); + void copy_(T* p, const T* q, int len) const; + void set_(const T& val); + void destroy_(); + inline const T* begin_() const; + inline T* begin_(); + + public: + + typedef T value_type; + + Array2D(); + Array2D(int m, int n); + Array2D(int m, int n, T *a); + Array2D(int m, int n, const T &a); + inline Array2D(const Array2D &A); + inline Array2D & operator=(const T &a); + inline Array2D & operator=(const Array2D &A); + inline Array2D & ref(const Array2D &A); + Array2D copy() const; + Array2D & inject(const Array2D & A); + inline T* operator[](int i); + inline const T* operator[](int i) const; + inline int dim1() const; + inline int dim2() const; + inline int ref_count() const; + ~Array2D(); + + +}; + + +/** + Copy constructor. Array data is NOT copied, but shared. + Thus, in Array2D B(A), subsequent changes to A will + be reflected in B. For an indepent copy of A, use + Array2D B(A.copy()), or B = A.copy(), instead. +*/ +template +Array2D::Array2D(const Array2D &A) : v_(A.v_), m_(A.m_), + n_(A.n_), ref_count_(A.ref_count_) +{ + (*ref_count_)++; +} + + + +/** + Create a new (m x n) array, WIHOUT initializing array elements. + To create an initialized array of constants, see Array2D(m,n,value). + +

    + This version avoids the O(m*n) initialization overhead and + is used just before manual assignment. + + @param m the first (row) dimension of the new matrix. + @param n the second (column) dimension of the new matrix. +*/ +template +Array2D::Array2D(int m, int n) : v_(0), m_(m), n_(n), ref_count_(0) +{ + initialize_(m,n); + ref_count_ = new int; + *ref_count_ = 1; +} + + + +/** + Create a new (m x n) array, initializing array elements to + constant specified by argument. Most often used to + create an array of zeros, as in A(m, n, 0.0). + + @param m the first (row) dimension of the new matrix. + @param n the second (column) dimension of the new matrix. + @param val the constant value to set all elements of the new array to. +*/ +template +Array2D::Array2D(int m, int n, const T &val) : v_(0), m_(m), n_(n) , + ref_count_(0) +{ + initialize_(m,n); + set_(val); + ref_count_ = new int; + *ref_count_ = 1; + +} + +/** + Create a new (m x n) array, as a view of an existing one-dimensional + array stored in C order, i.e. right-most dimension varying fastest. + (Often referred to as "row-major" ordering.) + Note that the storage for this pre-existing array will + never be garbage collected by the Array2D class. + + @param m the first (row) dimension of the new matrix. + @param n the second (column) dimension of the new matrix. + @param a the one dimensional C array to use as data storage for + the array. +*/ +template +Array2D::Array2D(int m, int n, T *a) : v_(0), m_(m), n_(n) , + ref_count_(0) +{ + T* p = a; + v_ = new T*[m]; + for (int i=0; i +inline T* Array2D::operator[](int i) +{ +#ifdef TNT_BOUNDS_CHECK + assert(i >= 0); + assert(i < m_); +#endif + +return v_[i]; + +} + +template +inline const T* Array2D::operator[](int i) const { return v_[i]; } + +/** + Assign all elemnts of A to a constant scalar. +*/ +template +Array2D & Array2D::operator=(const T &a) +{ + set_(a); + return *this; +} +/** + Create a new of existing matrix. Used in B = A.copy() + or in the construction of B, e.g. Array2D B(A.copy()), + to create a new array that does not share data. + +*/ +template +Array2D Array2D::copy() const +{ + Array2D A(m_, n_); + copy_(A.begin_(), begin_(), m_*n_); + + return A; +} + + +/** + Copy the elements to from one array to another, in place. + That is B.inject(A), both A and B must conform (i.e. have + identical row and column dimensions). + + This differs from B = A.copy() in that references to B + before this assignment are also affected. That is, if + we have + 

    +	Array2D A(m,n);
+	Array2D C(m,n);
+	Array2D B(C);        // elements of B and C are shared. 
+
+
    + then B.inject(A) affects both and C, while B=A.copy() creates + a new array B which shares no data with C or A. + + @param A the array from elements will be copied + @return an instance of the modifed array. That is, in B.inject(A), + it returns B. If A and B are not conformat, no modifications to + B are made. + +*/ +template +Array2D & Array2D::inject(const Array2D &A) +{ + if (A.m_ == m_ && A.n_ == n_) + copy_(begin_(), A.begin_(), m_*n_); + + return *this; +} + + + + + +/** + Create a reference (shallow assignment) to another existing array. + In B.ref(A), B and A shared the same data and subsequent changes + to the array elements of one will be reflected in the other. +

    + This is what operator= calls, and B=A and B.ref(A) are equivalent + operations. + + @return The new referenced array: in B.ref(A), it returns B. +*/ +template +Array2D & Array2D::ref(const Array2D &A) +{ + if (this != &A) + { + (*ref_count_) --; + if ( *ref_count_ < 1 ) + { + destroy_(); + } + + m_ = A.m_; + n_ = A.n_; + v_ = A.v_; + ref_count_ = A.ref_count_; + + (*ref_count_) ++ ; + + } + return *this; +} + +/** + B = A is shorthand notation for B.ref(A). +*/ +template +Array2D & Array2D::operator=(const Array2D &A) +{ + return ref(A); +} + +/** + @return the size of the first dimension of the array, i.e. + the number of rows. +*/ +template +inline int Array2D::dim1() const { return m_; } + +/** + @return the size of the second dimension of the array, i.e. + the number of columns. +*/ +template +inline int Array2D::dim2() const { return n_; } + + +/** + @return the number of arrays that share the same storage area + as this one. (Must be at least one.) +*/ +template +inline int Array2D::ref_count() const +{ + return *ref_count_; +} + +template +Array2D::~Array2D() +{ + (*ref_count_) --; + + if (*ref_count_ < 1) + destroy_(); +} + +/* private internal functions */ + +template +void Array2D::initialize_(int m, int n) +{ + + + T* p = new T[m*n]; + v_ = new T*[m]; + for (int i=0; i +void Array2D::set_(const T& a) +{ + T *begin = &v_[0][0]; + T *end = begin+ m_*n_; + + for (T* p=begin; p +void Array2D::copy_(T* p, const T* q, int len) const +{ + T *end = p + len; + while (p +void Array2D::destroy_() +{ + + if (v_ != 0) + { + delete[] (v_[0]); + delete[] (v_); + } + + if (ref_count_ != 0) + delete ref_count_; +} + +/** + @returns location of first element, i.e. A[0][0] (mutable). +*/ +template +const T* Array2D::begin_() const { return &(v_[0][0]); } + +/** + @returns location of first element, i.e. A[0][0] (mutable). +*/ +template +T* Array2D::begin_() { return &(v_[0][0]); } + +/** + Create a null (0x0) array. +*/ +template +Array2D::Array2D() : v_(0), m_(0), n_(0) +{ + ref_count_ = new int; + *ref_count_ = 1; +} + + + + + +} /* namespace TNT */ + +#endif +/* TNT_ARRAY2D_H */ + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_array2d_utils.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_array2d_utils.h.svn-base new file mode 100644 index 0000000..07b5234 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_array2d_utils.h.svn-base @@ -0,0 +1,122 @@ + + +#ifndef TNT_ARRAY2D_UTILS_H +#define TNT_ARRAY2D_UTILS_H + +#include +#include + +namespace TNT +{ + + +/** + Write an array to a character outstream. Output format is one that can + be read back in via the in-stream operator: two integers + denoting the array dimensions (m x n), followed by m + lines of n elements. + +*/ +template +std::ostream& operator<<(std::ostream &s, const Array2D &A) +{ + int M=A.dim1(); + int N=A.dim2(); + + s << M << " " << N << "\n"; + + for (int i=0; i + Note: the array being read into references new memory + storage. If the intent is to fill an existing conformant + array, use cin >> B; A.inject(B) ); + instead or read the elements in one-a-time by hand. + + @param s the charater to read from (typically std::in) + @param A the array to read into. +*/ +template +std::istream& operator>>(std::istream &s, Array2D &A) +{ + + int M, N; + + s >> M >> N; + + Array2D B(M,N); + + for (int i=0; i> B[i][j]; + } + + A = B; + return s; +} + + +/** + Matrix Multiply: compute C = A*B, where C[i][j] + is the dot-product of row i of A and column j of B. + + + @param A an (m x n) array + @param B an (n x k) array + @return the (m x k) array A*B, or a null array (0x0) + if the matrices are non-conformant (i.e. the number + of columns of A are different than the number of rows of B.) + + +*/ +template +Array2D matmult(const Array2D &A, const Array2D &B) +{ + if (A.dim2() != B.dim1()) + return Array2D(); + + int M = A.dim1(); + int N = A.dim2(); + int K = B.dim2(); + + Array2D C(M,K); + + for (int i=0; i +#include +#ifdef TNT_BOUNDS_CHECK +#include +#endif + +namespace TNT +{ + +/** + Tempplated three-dimensional, numerical array which + looks like a conventional C multiarray. + Storage corresponds to conventional C ordering. + That is the right-most dimension has contiguous + elements. Indexing is via the A[i][j][k] notation. + +

    + Array assignment is by reference (i.e. shallow assignment). + That is, B=A implies that the A and B point to the + same array, so modifications to the elements of A + will be reflected in B. If an independent copy + is required, then B = A.copy() can be used. Note + that this facilitates returning arrays from functions + without relying on compiler optimizations to eliminate + extensive data copying. + +

    + The indexing and layout of this array object makes + it compatible with C and C++ algorithms that utilize + the familiar C[i][j][k] notation. This includes numerous + textbooks, such as Numercial Recipes, and various + public domain codes. + +

    + This class employs its own garbage collection via + the use of reference counts. That is, whenever + an internal array storage no longer has any references + to it, it is destoryed. +*/ +template +class Array3D +{ + + + private: + T*** v_; + int m_; + int n_; + int k_; + int *ref_count_; + + void initialize_(T* data, int m, int n, int k); + void copy_(T* p, const T* q, int len) const; + void set_(const T& val); + void destroy_(); + inline const T* begin_() const; + inline T* begin_(); + + public: + + typedef T value_type; + + Array3D(); + Array3D(int m, int n, int k); + Array3D(int m, int n, int k, T *a); + Array3D(int m, int n, int k, const T &a); + inline Array3D(const Array3D &A); + inline Array3D & operator=(const T &a); + inline Array3D & operator=(const Array3D &A); + inline Array3D & ref(const Array3D &A); + Array3D copy() const; + Array3D & inject(const Array3D & A); + inline T** operator[](int i); + inline const T* const * operator[](int i) const; + inline int dim1() const; + inline int dim2() const; + inline int dim3() const; + inline int ref_count() const; + ~Array3D(); + + +}; + + +/** + Copy constructor. Array data is NOT copied, but shared. + Thus, in Array3D B(A), subsequent changes to A will + be reflected in B. For an indepent copy of A, use + Array3D B(A.copy()), or B = A.copy(), instead. +*/ +template +Array3D::Array3D(const Array3D &A) : v_(A.v_), m_(A.m_), + n_(A.n_), k_(A.k_), ref_count_(A.ref_count_) +{ + (*ref_count_)++; +} + + + +/** + Create a new (m x n x k) array, WIHOUT initializing array elements. + To create an initialized array of constants, see Array3D(m,n,k, value). + +

    + This version avoids the O(m*n*k) initialization overhead and + is used just before manual assignment. + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. + @param k the third dimension of the new matrix. +*/ +template +Array3D::Array3D(int m, int n, int k) : v_(0), m_(m), n_(n), k_(k), ref_count_(0) +{ + initialize_(new T[m*n*k], m,n,k); + ref_count_ = new int; + *ref_count_ = 1; +} + + + +/** + Create a new (m x n x k) array, initializing array elements to + constant specified by argument. Most often used to + create an array of zeros, as in A(m, n, k, 0.0). + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. + @param k the third dimension of the new matrix. + @param val the constant value to set all elements of the new array to. +*/ +template +Array3D::Array3D(int m, int n, int k, const T &val) : v_(0), m_(m), n_(n) , + k_(k), ref_count_(0) +{ + initialize_(new T[m*n*k], m,n,k); + set_(val); + ref_count_ = new int; + *ref_count_ = 1; + +} + +/** + + Create a new (m x n x k) array, as a view of an existing one-dimensional + array stored in C order, i.e. right-most dimension varying fastest. + (Often referred to as "row-major" ordering.) + Note that the storage for this pre-existing array will + never be garbage collected by the Array3D class. + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. + @param k the third dimension of the new matrix. + @param a the one dimensional C array to use as data storage for + the array. +*/ +template +Array3D::Array3D(int m, int n, int k, T *a) : v_(0), m_(m), n_(n) , + k_(k), ref_count_(0) +{ + initialize_(a, m, n, k); + ref_count_ = new int; + *ref_count_ = 2; /* this avoids destorying original data. */ + +} + + +/** + Used for A[i][j][k] indexing. The first [] operator returns + a conventional pointer which can be dereferenced using the + same [] notation. + + If TNT_BOUNDS_CHECK macro is define, the left-most index + is checked that it falls within the array bounds (via the + assert() macro.) +*/ +template +inline T** Array3D::operator[](int i) +{ +#ifdef TNT_BOUNDS_CHECK + assert(i >= 0); + assert(i < m_); +#endif + +return v_[i]; + +} + +template +inline const T* const * Array3D::operator[](int i) const { return v_[i]; } + +/** + Assign all elemnts of A to a constant scalar. +*/ +template +Array3D & Array3D::operator=(const T &a) +{ + set_(a); + return *this; +} +/** + Create a new of existing matrix. Used in B = A.copy() + or in the construction of B, e.g. Array3D B(A.copy()), + to create a new array that does not share data. + +*/ +template +Array3D Array3D::copy() const +{ + Array3D A(m_, n_, k_); + copy_(A.begin_(), begin_(), m_*n_*k_); + + return A; +} + + +/** + Copy the elements to from one array to another, in place. + That is B.inject(A), both A and B must conform (i.e. have + identical dimensions). + + This differs from B = A.copy() in that references to B + before this assignment are also affected. That is, if + we have + 

    +	Array3D A(m,n,k);
+	Array3D C(m,n,k);
+	Array3D B(C);        // elements of B and C are shared. 
+
+
    + then B.inject(A) affects both and C, while B=A.copy() creates + a new array B which shares no data with C or A. + + @param A the array from elements will be copied + @return an instance of the modifed array. That is, in B.inject(A), + it returns B. If A and B are not conformat, no modifications to + B are made. + +*/ +template +Array3D & Array3D::inject(const Array3D &A) +{ + if (A.m_ == m_ && A.n_ == n_) + copy_(begin_(), A.begin_(), m_*n_); + + return *this; +} + + + + + +/** + Create a reference (shallow assignment) to another existing array. + In B.ref(A), B and A shared the same data and subsequent changes + to the array elements of one will be reflected in the other. +

    + This is what operator= calls, and B=A and B.ref(A) are equivalent + operations. + + @return The new referenced array: in B.ref(A), it returns B. +*/ +template +Array3D & Array3D::ref(const Array3D &A) +{ + if (this != &A) + { + (*ref_count_) --; + if ( *ref_count_ < 1 ) + { + destroy_(); + } + + m_ = A.m_; + n_ = A.n_; + k_ = A.k_; + v_ = A.v_; + ref_count_ = A.ref_count_; + + (*ref_count_) ++ ; + + } + return *this; +} + +/** + B = A is shorthand notation for B.ref(A). +*/ +template +Array3D & Array3D::operator=(const Array3D &A) +{ + return ref(A); +} + +/** + @return the size of the first dimension of the array. +*/ +template +inline int Array3D::dim1() const { return m_; } + +/** + @return the size of the second dimension of the array. +*/ +template +inline int Array3D::dim2() const { return n_; } + +/** + @return the size of the third (right-most) dimension of the array. +*/ +template +inline int Array3D::dim3() const { return k_; } + + +/** + @return the number of arrays that share the same storage area + as this one. (Must be at least one.) +*/ +template +inline int Array3D::ref_count() const +{ + return *ref_count_; +} + +template +Array3D::~Array3D() +{ + (*ref_count_) --; + + if (*ref_count_ < 1) + destroy_(); +} + +/* private internal functions */ + +template +void Array3D::initialize_( T* data, int m, int n, int k) +{ + + v_ = new T**[m]; + v_[0] = new T*[m*n]; + v_[0][0] = data; + + + for (int i=0; i +void Array3D::set_(const T& a) +{ + T *begin = &(v_[0][0][0]); + T *end = begin+ m_*n_*k_; + + for (T* p=begin; p +void Array3D::copy_(T* p, const T* q, int len) const +{ + T *end = p + len; + while (p +void Array3D::destroy_() +{ + + if (v_ != 0) + { + delete[] (v_[0][0]); + delete[] (v_[0]); + delete[] (v_); + } + + if (ref_count_ != 0) + delete ref_count_; +} + +/** + @returns location of first element, i.e. A[0][0][0] (mutable). +*/ +template +const T* Array3D::begin_() const { return &(v_[0][0][0]); } + +/** + @returns location of first element, i.e. A[0][0][0] (mutable). +*/ +template +T* Array3D::begin_() { return &(v_[0][0][0]); } + +/** + Create a null (0x0x0) array. +*/ +template +Array3D::Array3D() : v_(0), m_(0), n_(0) +{ + ref_count_ = new int; + *ref_count_ = 1; +} + +} /* namespace TNT */ + +#endif +/* TNT_ARRAY3D_H */ + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_array3d_utils.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_array3d_utils.h.svn-base new file mode 100644 index 0000000..5f54b12 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_array3d_utils.h.svn-base @@ -0,0 +1,84 @@ + + +#ifndef TNT_ARRAY3D_UTILS_H +#define TNT_ARRAY3D_UTILS_H + +#include +#include + +namespace TNT +{ + + +/** + Write an array to a character outstream. Output format is one that can + be read back in via the in-stream operator: three integers + denoting the array dimensions (m x n x k), followed by m + (n x k) arrays. + +*/ +template +std::ostream& operator<<(std::ostream &s, const Array3D &A) +{ + int M=A.dim1(); + int N=A.dim2(); + int K=A.dim3(); + + s << M << " " << N << " " << K << "\n"; + + for (int i=0; i + Note: the array being read into references new memory + storage. If the intent is to fill an existing conformant + array, use cin >> B; A.inject(B) ); + instead or read the elements in one-a-time by hand. + + @param s the charater to read from (typically std::in) + @param A the array to read into. +*/ +template +std::istream& operator>>(std::istream &s, Array3D &A) +{ + + int M, N, K; + + s >> M >> N >> K; + + Array3D B(M,N,K); + + for (int i=0; i> B[i][j][k]; + + A = B; + return s; +} + + + + +} // namespace TNT + +#endif diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_cmat.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_cmat.h.svn-base new file mode 100644 index 0000000..4789dbe --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_cmat.h.svn-base @@ -0,0 +1,585 @@ +/* +* +* Template Numerical Toolkit (TNT) +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + +// C compatible matrix: row-oriented, 0-based [i][j] and 1-based (i,j) indexing +// + +#ifndef TNT_CMAT_H +#define TNT_CMAT_H + +#include "tnt_subscript.h" +#include "tnt_vec.h" +#include +#include +#include +#include + +namespace TNT +{ + +/** + [Deprecatred] Value-based vector class from pre-1.0 + TNT version. Kept here for backward compatiblity, but should + use the newer TNT::Array2D classes instead. + +*/ + +template +class Matrix +{ + + + public: + + typedef Subscript size_type; + typedef T value_type; + typedef T element_type; + typedef T* pointer; + typedef T* iterator; + typedef T& reference; + typedef const T* const_iterator; + typedef const T& const_reference; + + Subscript lbound() const { return 1;} + + protected: + Subscript m_; + Subscript n_; + Subscript mn_; // total size + T* v_; + T** row_; + T* vm1_ ; // these point to the same data, but are 1-based + T** rowm1_; + + // internal helper function to create the array + // of row pointers + + void initialize(Subscript M, Subscript N) + { + mn_ = M*N; + m_ = M; + n_ = N; + + v_ = new T[mn_]; + row_ = new T*[M]; + rowm1_ = new T*[M]; + + assert(v_ != NULL); + assert(row_ != NULL); + assert(rowm1_ != NULL); + + T* p = v_; + vm1_ = v_ - 1; + for (Subscript i=0; i &A) + { + initialize(A.m_, A.n_); + copy(A.v_); + } + + Matrix(Subscript M, Subscript N, const T& value = T()) + { + initialize(M,N); + set(value); + } + + Matrix(Subscript M, Subscript N, const T* v) + { + initialize(M,N); + copy(v); + } + + Matrix(Subscript M, Subscript N, const char *s) + { + initialize(M,N); + std::istrstream ins(s); + + Subscript i, j; + + for (i=0; i> row_[i][j]; + } + + // destructor + // + ~Matrix() + { + destroy(); + } + + + // reallocating + // + Matrix& newsize(Subscript M, Subscript N) + { + if (num_rows() == M && num_cols() == N) + return *this; + + destroy(); + initialize(M,N); + + return *this; + } + + + + + // assignments + // + Matrix& operator=(const Matrix &A) + { + if (v_ == A.v_) + return *this; + + if (m_ == A.m_ && n_ == A.n_) // no need to re-alloc + copy(A.v_); + + else + { + destroy(); + initialize(A.m_, A.n_); + copy(A.v_); + } + + return *this; + } + + Matrix& operator=(const T& scalar) + { + set(scalar); + return *this; + } + + + Subscript dim(Subscript d) const + { +#ifdef TNT_BOUNDS_CHECK + assert( d >= 1); + assert( d <= 2); +#endif + return (d==1) ? m_ : ((d==2) ? n_ : 0); + } + + Subscript num_rows() const { return m_; } + Subscript num_cols() const { return n_; } + + + + + inline T* operator[](Subscript i) + { +#ifdef TNT_BOUNDS_CHECK + assert(0<=i); + assert(i < m_) ; +#endif + return row_[i]; + } + + inline const T* operator[](Subscript i) const + { +#ifdef TNT_BOUNDS_CHECK + assert(0<=i); + assert(i < m_) ; +#endif + return row_[i]; + } + + inline reference operator()(Subscript i) + { +#ifdef TNT_BOUNDS_CHECK + assert(1<=i); + assert(i <= mn_) ; +#endif + return vm1_[i]; + } + + inline const_reference operator()(Subscript i) const + { +#ifdef TNT_BOUNDS_CHECK + assert(1<=i); + assert(i <= mn_) ; +#endif + return vm1_[i]; + } + + + + inline reference operator()(Subscript i, Subscript j) + { +#ifdef TNT_BOUNDS_CHECK + assert(1<=i); + assert(i <= m_) ; + assert(1<=j); + assert(j <= n_); +#endif + return rowm1_[i][j]; + } + + + + inline const_reference operator() (Subscript i, Subscript j) const + { +#ifdef TNT_BOUNDS_CHECK + assert(1<=i); + assert(i <= m_) ; + assert(1<=j); + assert(j <= n_); +#endif + return rowm1_[i][j]; + } + + + + +}; + + +/* *************************** I/O ********************************/ + +template +std::ostream& operator<<(std::ostream &s, const Matrix &A) +{ + Subscript M=A.num_rows(); + Subscript N=A.num_cols(); + + s << M << " " << N << "\n"; + + for (Subscript i=0; i +std::istream& operator>>(std::istream &s, Matrix &A) +{ + + Subscript M, N; + + s >> M >> N; + + if ( !(M == A.num_rows() && N == A.num_cols() )) + { + A.newsize(M,N); + } + + + for (Subscript i=0; i> A[i][j]; + } + + + return s; +} + +// *******************[ basic matrix algorithms ]*************************** + + +template +Matrix operator+(const Matrix &A, + const Matrix &B) +{ + Subscript M = A.num_rows(); + Subscript N = A.num_cols(); + + assert(M==B.num_rows()); + assert(N==B.num_cols()); + + Matrix tmp(M,N); + Subscript i,j; + + for (i=0; i +Matrix operator-(const Matrix &A, + const Matrix &B) +{ + Subscript M = A.num_rows(); + Subscript N = A.num_cols(); + + assert(M==B.num_rows()); + assert(N==B.num_cols()); + + Matrix tmp(M,N); + Subscript i,j; + + for (i=0; i +Matrix mult_element(const Matrix &A, + const Matrix &B) +{ + Subscript M = A.num_rows(); + Subscript N = A.num_cols(); + + assert(M==B.num_rows()); + assert(N==B.num_cols()); + + Matrix tmp(M,N); + Subscript i,j; + + for (i=0; i +Matrix transpose(const Matrix &A) +{ + Subscript M = A.num_rows(); + Subscript N = A.num_cols(); + + Matrix S(N,M); + Subscript i, j; + + for (i=0; i +inline Matrix matmult(const Matrix &A, + const Matrix &B) +{ + +#ifdef TNT_BOUNDS_CHECK + assert(A.num_cols() == B.num_rows()); +#endif + + Subscript M = A.num_rows(); + Subscript N = A.num_cols(); + Subscript K = B.num_cols(); + + Matrix tmp(M,K); + T sum; + + for (Subscript i=0; i +inline Matrix operator*(const Matrix &A, + const Matrix &B) +{ + return matmult(A,B); +} + +template +inline int matmult(Matrix& C, const Matrix &A, + const Matrix &B) +{ + + assert(A.num_cols() == B.num_rows()); + + Subscript M = A.num_rows(); + Subscript N = A.num_cols(); + Subscript K = B.num_cols(); + + C.newsize(M,K); + + T sum; + + const T* row_i; + const T* col_k; + + for (Subscript i=0; i +Vector matmult(const Matrix &A, const Vector &x) +{ + +#ifdef TNT_BOUNDS_CHECK + assert(A.num_cols() == x.dim()); +#endif + + Subscript M = A.num_rows(); + Subscript N = A.num_cols(); + + Vector tmp(M); + T sum; + + for (Subscript i=0; i +inline Vector operator*(const Matrix &A, const Vector &x) +{ + return matmult(A,x); +} + +} // namespace TNT + +#endif +// CMAT_H diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_fortran_array1d.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_fortran_array1d.h.svn-base new file mode 100644 index 0000000..2b55185 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_fortran_array1d.h.svn-base @@ -0,0 +1,312 @@ +/* +* +* Template Numerical Toolkit (TNT): One-dimensional Fortran numerical array +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + + +#ifndef TNT_FORTRAN_ARRAY1D_H +#define TNT_FORTRAN_ARRAY1D_H + +#include +#include +#ifdef TNT_BOUNDS_CHECK +#include +#endif +#include "tnt_array1d.h" + +namespace TNT +{ + +/** + Templated one-dimensional, numerical array which + looks like a conventional Fortran array. This is + useful when integrating with C/C++ codes translated + from Fortran. Indexing is via the A(i) notation and A(1) + is the first element. + +

    + Array assignment is by reference (i.e. shallow assignment). + That is, B=A implies that the A and B point to the + same array, so modifications to the elements of A + will be reflected in B. If an independent copy + is required, then B = A.copy() can be used. Note + that this facilitates returning arrays from functions + without relying on compiler optimizations to eliminate + extensive data copying. + +

    + This class employs its own garbage collection via + the use of reference counts. That is, whenever + an internal array storage no longer has any references + to it, it is destoryed. +*/ +template +class Fortran_Array1D +{ + + + private: + Array1D A_; + + public: + + typedef T value_type; + + Fortran_Array1D(); + Fortran_Array1D(int n); + Fortran_Array1D(int n, T *a); + Fortran_Array1D(int n, const T &a); + inline Fortran_Array1D(const Fortran_Array1D &A); + inline Fortran_Array1D & operator=(const T &a); + inline Fortran_Array1D & operator=(const Fortran_Array1D &A); + inline Fortran_Array1D & ref(const Fortran_Array1D &A); + Fortran_Array1D copy(); + Fortran_Array1D & inject(const Fortran_Array1D & A); + inline T& operator()(int i); + inline const T& operator()(int i) const ; + inline int dim() const; + inline int dim1() const; + inline int ref_count() const; + ~Fortran_Array1D(); + + +}; + +/** + Create a null (0-length) array. +*/ +template +Fortran_Array1D::Fortran_Array1D() : A_() {} + + +/** + Copy constructor. Array data is NOT copied, but shared. + Thus, in Fortran_Array1D B(A), subsequent changes to A will + be reflected in B. For an indepent copy of A, use + Fortran_Array1D B(A.copy()), or B = A.copy(), instead. +*/ +template +Fortran_Array1D::Fortran_Array1D(const Fortran_Array1D &A) : A_(A.A_) {} + + + +/** + Create a new (n) array, WIHOUT initializing array elements. + To create an initialized array of constants, see Fortran_Array1D(n, value). + +

    + This version avoids the O(n) initialization overhead and + is used just before manual assignment. + + @param m the dimension of the new matrix. +*/ +template +Fortran_Array1D::Fortran_Array1D(int n) : A_(n) {} + + + +/** + Create a new n-length array, initializing array elements to + constant specified by argument. Most often used to + create an array of zeros, as in A(n, 0.0). + + @param m the dimension of the new matrix. + @param val the constant value to set all elements of the new array to. +*/ +template +Fortran_Array1D::Fortran_Array1D(int n, const T &val) : A_(n, val) {} + + +/** + Create a new n-length array, as a view of an existing one-dimensional + C array. (Note that the storage for this pre-existing array will + never be garbage collected by the Fortran_Array1D class.) + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. + @param a the one dimensional C array to use as data storage for + the array. +*/ +template +Fortran_Array1D::Fortran_Array1D(int n, T *a) : A_(n, a) {} + + + + +/** + Elements are accessed via A(i) indexing. + + If TNT_BOUNDS_CHECK macro is defined, the indices + are checked that they falls within the array bounds (via the + assert() macro.) +*/ +template +inline T& Fortran_Array1D::operator()(int i) +{ +#ifdef TNT_BOUNDS_CHECK + assert(i >= 1); + assert(i <= A_.dim1()); +#endif + + return A_[i-1]; + +} + +/** + Read-only version of A(i,j) indexing. + + If TNT_BOUNDS_CHECK macro is defined, the indices + are checked that they falls within the array bounds (via the + assert() macro.) +*/ +template +inline const T& Fortran_Array1D::operator()(int i) const +{ +#ifdef TNT_BOUNDS_CHECK + assert(i >= 1); + assert(i <= A_.dim1()); +#endif + + return A_[i-1]; + +} + + +/** + Assign all elemnts of A to a constant scalar. +*/ +template +Fortran_Array1D & Fortran_Array1D::operator=(const T &a) +{ + A_ = a; + return *this; +} +/** + Create a new of existing matrix. Used in B = A.copy() + or in the construction of B, e.g. Fortran_Array1D B(A.copy()), + to create a new array that does not share data. + +*/ +template +Fortran_Array1D Fortran_Array1D::copy() +{ + + Fortran_Array1D B; + + B.A_= A_.copy(); + return B; +} + + +/** + Copy the elements to from one array to another, in place. + That is B.inject(A), both A and B must conform (i.e. have + identical dimensions). + + This differs from B = A.copy() in that references to B + before this assignment are also affected. That is, if + we have + 

    +	Fortran_Array1D A(n);
+	Fortran_Array1D C(n);
+	Fortran_Array1D B(C);        // elements of B and C are shared. 
+
+
    + then B.inject(A) affects both and C, while B=A.copy() creates + a new array B which shares no data with C or A. + + @param A the array from elements will be copied + @return an instance of the modifed array. That is, in B.inject(A), + it returns B. If A and B are not conformat, no modifications to + B are made. + +*/ +template +Fortran_Array1D & Fortran_Array1D::inject(const Fortran_Array1D &A) +{ + A_.inject(A.A_); + + return *this; +} + + + + + +/** + Create a reference (shallow assignment) to another existing array. + In B.ref(A), B and A shared the same data and subsequent changes + to the array elements of one will be reflected in the other. +

    + This is what operator= calls, and B=A and B.ref(A) are equivalent + operations. + + @return The new referenced array: in B.ref(A), it returns B. +*/ +template +Fortran_Array1D & Fortran_Array1D::ref(const Fortran_Array1D &A) +{ + A_.ref(A.A_); + return *this; +} + +/** + B = A is shorthand notation for B.ref(A). +*/ +template +Fortran_Array1D & Fortran_Array1D::operator=(const Fortran_Array1D &A) +{ + return ref(A); +} + +/** + @return the size (dimension of) the array. +*/ +template +inline int Fortran_Array1D::dim1() const { return A_.dim1(); } + + +/** + @return the size (dimension of) the array. +*/ +template +inline int Fortran_Array1D::dim() const { return A_.dim(); } + + + + +/** + @return the number of arrays that share the same storage area + as this one. (Must be at least one.) +*/ +template +inline int Fortran_Array1D::ref_count() const { return A_.ref_count(); } + +template +Fortran_Array1D::~Fortran_Array1D() +{ +} + + + + +} /* namespace TNT */ + +#endif +/* TNT_FORTRAN_ARRAY1D_H */ + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_fortran_array1d_utils.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_fortran_array1d_utils.h.svn-base new file mode 100644 index 0000000..21446eb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_fortran_array1d_utils.h.svn-base @@ -0,0 +1,64 @@ + +#ifndef TNT_FORTRAN_ARRAY1D_UTILS_H +#define TNT_FORTRAN_ARRAY1D_UTILS_H + +#include + +namespace TNT +{ + + +/** + Write an array to a character outstream. Output format is one that can + be read back in via the in-stream operator: one integer + denoting the array dimension (n), followed by n elements, + one per line. + +*/ +template +std::ostream& operator<<(std::ostream &s, const Fortran_Array1D &A) +{ + int N=A.dim1(); + + s << N << "\n"; + for (int j=1; j<=N; j++) + { + s << A(j) << "\n"; + } + s << "\n"; + + return s; +} + +/** + Read an array from a character stream. Input format + is one integer, denoting the dimension (n), followed + by n whitespace-separated elments. Newlines are ignored + +

    + Note: the array being read into references new memory + storage. If the intent is to fill an existing conformant + array, use cin >> B; A.inject(B) ); + instead or read the elements in one-a-time by hand. + + @param s the charater to read from (typically std::in) + @param A the array to read into. +*/ +template +std::istream& operator>>(std::istream &s, Fortran_Array1D &A) +{ + int N; + s >> N; + + Fortran_Array1D B(N); + for (int i=1; i<=N; i++) + s >> B(i); + A = B; + return s; +} + + + +} // namespace TNT + +#endif diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_fortran_array2d.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_fortran_array2d.h.svn-base new file mode 100644 index 0000000..acabd00 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_fortran_array2d.h.svn-base @@ -0,0 +1,328 @@ +/* +* +* Template Numerical Toolkit (TNT): Two-dimensional Fortran numerical array +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + + +#ifndef TNT_FORTRAN_ARRAY2D_H +#define TNT_FORTRAN_ARRAY2D_H + +#include +#include + +#ifdef TNT_BOUNDS_CHECK +#include +#endif + +#include "tnt_array2d.h" + +namespace TNT +{ + +/** + Templated two-dimensional, numerical array which + looks like a conventional Fortran array. This is + useful when integrating with C/C++ codes translated + from Fortran. Storage corresponds to conventional Fortran ordering. + That is, the left-most dimension varies fastest. + Indexing is via the A(i,j) notation and A(1,1) + is the first element. + +

    + Array assignment is by reference (i.e. shallow assignment). + That is, B=A implies that the A and B point to the + same array, so modifications to the elements of A + will be reflected in B. If an independent copy + is required, then B = A.copy() can be used. Note + that this facilitates returning arrays from functions + without relying on compiler optimizations to eliminate + extensive data copying. + +

    + This class employs its own garbage collection via + the use of reference counts. That is, whenever + an internal array storage no longer has any references + to it, it is destoryed. +*/ +template +class Fortran_Array2D +{ + + + private: + /* For an (mxn) array, we internally keep an (nxm) "transposed" + C array and access A(i,j) as A[j-1][i-1]. The "-1" operation + is inlined in a tight loop and should be easily optimized. + */ + Array2D A_; + + public: + + typedef T value_type; + + Fortran_Array2D(); + Fortran_Array2D(int m, int n); + Fortran_Array2D(int m, int n, T *a); + Fortran_Array2D(int m, int n, const T &a); + inline Fortran_Array2D(const Fortran_Array2D &A); + inline Fortran_Array2D & operator=(const T &a); + inline Fortran_Array2D & operator=(const Fortran_Array2D &A); + inline Fortran_Array2D & ref(const Fortran_Array2D &A); + Fortran_Array2D copy(); + Fortran_Array2D & inject(const Fortran_Array2D & A); + inline T& operator()(int i, int j); + inline const T& operator()(int i, int j) const ; + inline int dim1() const; + inline int dim2() const; + inline int ref_count() const; + ~Fortran_Array2D(); + + +}; + +/** + Create a null (0x0x0) array. +*/ +template +Fortran_Array2D::Fortran_Array2D() : A_() {} + + +/** + Copy constructor. Array data is NOT copied, but shared. + Thus, in Fortran_Array2D B(A), subsequent changes to A will + be reflected in B. For an indepent copy of A, use + Fortran_Array2D B(A.copy()), or B = A.copy(), instead. +*/ +template +Fortran_Array2D::Fortran_Array2D(const Fortran_Array2D &A) : A_(A.A_) {} + + + +/** + Create a new (m x n) array, WIHOUT initializing array elements. + To create an initialized array of constants, see Fortran_Array2D(m,n, value). + +

    + This version avoids the O(m*n) initialization overhead and + is used just before manual assignment. + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. +*/ +template +Fortran_Array2D::Fortran_Array2D(int m, int n) : A_(n,m) {} + + + +/** + Create a new (m x n ) array, initializing array elements to + constant specified by argument. Most often used to + create an array of zeros, as in A(m, n, k, 0.0). + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. + @param val the constant value to set all elements of the new array to. +*/ +template +Fortran_Array2D::Fortran_Array2D(int m, int n, const T &val) : A_(n, m, val) {} + + +/** + + Create a new (m x n) array, as a view of an existing one-dimensional + C array, with elements stored in Fortran order, i.e. right-most dimension + varying fastest. (Often referred to as "column-major" ordering.) + Note that the storage for this pre-existing array will + never be garbage collected by the Fortran_Array2D class. + + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. + @param a the one dimensional C array to use as data storage for + the array. +*/ +template +Fortran_Array2D::Fortran_Array2D(int m, int n, T *a) : A_(n, m, a) {} + + + + +/** + Elements are accessed via A(i,j) indexing. + + If TNT_BOUNDS_CHECK macro is defined, the indices + are checked that they falls within the array bounds (via the + assert() macro.) +*/ +template +inline T& Fortran_Array2D::operator()(int i, int j) +{ +#ifdef TNT_BOUNDS_CHECK + assert(j >= 1); + assert(j <= A_.dim1()); + assert(i >= 1); + assert(i <= A_.dim2()); +#endif + + return A_[j-1][i-1]; + +} + +/** + Read-only version of A(i,j) indexing. + + If TNT_BOUNDS_CHECK macro is defined, the indices + are checked that they falls within the array bounds (via the + assert() macro.) +*/ +template +inline const T& Fortran_Array2D::operator()(int i, int j) const +{ +#ifdef TNT_BOUNDS_CHECK + assert(j >= 1); + assert(j <= A_.dim1()); + assert(i >= 1); + assert(i <= A_.dim2()); +#endif + + return A_[j-1][i-1]; + +} + + +/** + Assign all elemnts of A to a constant scalar. +*/ +template +Fortran_Array2D & Fortran_Array2D::operator=(const T &a) +{ + A_ = a; + return *this; +} +/** + Create a new of existing matrix. Used in B = A.copy() + or in the construction of B, e.g. Fortran_Array2D B(A.copy()), + to create a new array that does not share data. + +*/ +template +Fortran_Array2D Fortran_Array2D::copy() +{ + + Fortran_Array2D B; + + B.A_= A_.copy(); + return B; +} + + +/** + Copy the elements to from one array to another, in place. + That is B.inject(A), both A and B must conform (i.e. have + identical dimensions). + + This differs from B = A.copy() in that references to B + before this assignment are also affected. That is, if + we have + 

    +	Fortran_Array2D A(m,n);
+	Fortran_Array2D C(m,n);
+	Fortran_Array2D B(C);        // elements of B and C are shared. 
+
+
    + then B.inject(A) affects both and C, while B=A.copy() creates + a new array B which shares no data with C or A. + + @param A the array from elements will be copied + @return an instance of the modifed array. That is, in B.inject(A), + it returns B. If A and B are not conformat, no modifications to + B are made. + +*/ +template +Fortran_Array2D & Fortran_Array2D::inject(const Fortran_Array2D &A) +{ + A_.inject(A.A_); + + return *this; +} + + + + + +/** + Create a reference (shallow assignment) to another existing array. + In B.ref(A), B and A shared the same data and subsequent changes + to the array elements of one will be reflected in the other. +

    + This is what operator= calls, and B=A and B.ref(A) are equivalent + operations. + + @return The new referenced array: in B.ref(A), it returns B. +*/ +template +Fortran_Array2D & Fortran_Array2D::ref(const Fortran_Array2D &A) +{ + A_.ref(A.A_); + return *this; +} + +/** + B = A is shorthand notation for B.ref(A). +*/ +template +Fortran_Array2D & Fortran_Array2D::operator=(const Fortran_Array2D &A) +{ + return ref(A); +} + +/** + @return the size of the first dimension of the array. +*/ +template +inline int Fortran_Array2D::dim1() const { return A_.dim2(); } + +/** + @return the size of the second dimension of the array. +*/ +template +inline int Fortran_Array2D::dim2() const { return A_.dim1(); } + + + +/** + @return the number of arrays that share the same storage area + as this one. (Must be at least one.) +*/ +template +inline int Fortran_Array2D::ref_count() const { return A_.ref_count(); } + +template +Fortran_Array2D::~Fortran_Array2D() +{ +} + + + + +} /* namespace TNT */ + +#endif +/* TNT_FORTRAN_ARRAY2D_H */ + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_fortran_array2d_utils.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_fortran_array2d_utils.h.svn-base new file mode 100644 index 0000000..8509d72 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_fortran_array2d_utils.h.svn-base @@ -0,0 +1,81 @@ + + +#ifndef TNT_FORTRAN_ARRAY2D_UTILS_H +#define TNT_FORTRAN_ARRAY2D_UTILS_H + +#include + +namespace TNT +{ + + +/** + Write an array to a character outstream. Output format is one that can + be read back in via the in-stream operator: two integers + denoting the array dimensions (m x n), followed by m + lines of n elements. + +*/ +template +std::ostream& operator<<(std::ostream &s, const Fortran_Array2D &A) +{ + int M=A.dim1(); + int N=A.dim2(); + + s << M << " " << N << "\n"; + + for (int i=1; i<=M; i++) + { + for (int j=1; j<=N; j++) + { + s << A(i,j) << " "; + } + s << "\n"; + } + + + return s; +} + +/** + Read an array from a character stream. Input format + is two integers, denoting the dimensions (m x n), followed + by m*n whitespace-separated elments in "row-major" order + (i.e. right-most dimension varying fastest.) Newlines + are ignored. + +

    + Note: the array being read into references new memory + storage. If the intent is to fill an existing conformant + array, use cin >> B; A.inject(B) ); + instead or read the elements in one-a-time by hand. + + @param s the charater to read from (typically std::in) + @param A the array to read into. +*/ +template +std::istream& operator>>(std::istream &s, Fortran_Array2D &A) +{ + + int M, N; + + s >> M >> N; + + Fortran_Array2D B(M,N); + + for (int i=1; i<=M; i++) + for (int j=1; j<=N; j++) + { + s >> B(i,j); + } + + A = B; + return s; +} + + + + +} // namespace TNT + +#endif diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_fortran_array3d.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_fortran_array3d.h.svn-base new file mode 100644 index 0000000..9994ff8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_fortran_array3d.h.svn-base @@ -0,0 +1,339 @@ +/* +* +* Template Numerical Toolkit (TNT): Three-dimensional Fortran numerical array +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + + +#ifndef TNT_FORTRAN_ARRAY3D_H +#define TNT_FORTRAN_ARRAY3D_H + +#include +#include +#ifdef TNT_BOUNDS_CHECK +#include +#endif +#include "tnt_array3d.h" + +namespace TNT +{ + +/** + Templated three-dimensional, numerical array which + looks like a conventional Fortran array. This is + useful when integrating with C/C++ codes translated + from Fortran. Storage corresponds to conventional Fortran ordering. + That is, the left-most dimension varies fastest. + Indexing is via the A(i,j,k) notation and A(1,1,1) + is the first element. + +

    + Array assignment is by reference (i.e. shallow assignment). + That is, B=A implies that the A and B point to the + same array, so modifications to the elements of A + will be reflected in B. If an independent copy + is required, then B = A.copy() can be used. Note + that this facilitates returning arrays from functions + without relying on compiler optimizations to eliminate + extensive data copying. + +

    + This class employs its own garbage collection via + the use of reference counts. That is, whenever + an internal array storage no longer has any references + to it, it is destoryed. +*/ +template +class Fortran_Array3D +{ + + + private: + + + /* For an (mxnxk) array, we internally keep an (kxnxm) "transposed" + C array and access A(i,j,k) as A[k-1][j-1][i-1]. The "-1" operation + is inlined in a tight loop and should be easily optimized. + */ + Array3D A_; + + public: + + typedef T value_type; + + Fortran_Array3D(); + Fortran_Array3D(int m, int n, int k); + Fortran_Array3D(int m, int n, int k, T *a); + Fortran_Array3D(int m, int n, int k, const T &a); + inline Fortran_Array3D(const Fortran_Array3D &A); + inline Fortran_Array3D & operator=(const T &a); + inline Fortran_Array3D & operator=(const Fortran_Array3D &A); + inline Fortran_Array3D & ref(const Fortran_Array3D &A); + Fortran_Array3D copy(); + Fortran_Array3D & inject(const Fortran_Array3D & A); + inline T& operator()(int i, int j, int k); + inline const T& operator()(int i, int j, int k) const ; + inline int dim1() const; + inline int dim2() const; + inline int dim3() const; + inline int ref_count() const; + ~Fortran_Array3D(); + + +}; + +/** + Create a null (0x0x0) array. +*/ +template +Fortran_Array3D::Fortran_Array3D() : A_() {} + + +/** + Copy constructor. Array data is NOT copied, but shared. + Thus, in Fortran_Array3D B(A), subsequent changes to A will + be reflected in B. For an indepent copy of A, use + Fortran_Array3D B(A.copy()), or B = A.copy(), instead. +*/ +template +Fortran_Array3D::Fortran_Array3D(const Fortran_Array3D &A) : A_(A.A_) {} + + + +/** + Create a new (m x n x k) array, WIHOUT initializing array elements. + To create an initialized array of constants, see Fortran_Array3D(m,n,k, value). + +

    + This version avoids the O(m*n*k) initialization overhead and + is used just before manual assignment. + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. + @param k the third dimension of the new matrix. +*/ +template +Fortran_Array3D::Fortran_Array3D(int m, int n, int k) : A_(k,n,m) {} + + + +/** + Create a new (m x n x k) array, initializing array elements to + constant specified by argument. Most often used to + create an array of zeros, as in A(m, n, k, 0.0). + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. + @param k the third dimension of the new matrix. + @param val the constant value to set all elements of the new array to. +*/ +template +Fortran_Array3D::Fortran_Array3D(int m, int n, int k, const T &val) : + A_(k, n, m, val) {} + + +/** + Create a new (m x n x k) array, as a view of an existing one-dimensional + C array, with elements stored in Fortran order, i.e. right-most dimension + varying fastest. (Often referred to as "column-major" ordering.) + Note that the storage for this pre-existing array will + never be garbage collected by the Fortran_Array3D class. + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. + @param k the third dimension of the new matrix. + @param a the one dimensional C array to use as data storage for + the array. +*/ +template +Fortran_Array3D::Fortran_Array3D(int m, int n, int k, T *a) : + A_(k, n, m, a) {} + + + + +/** + Elements are accessed via A(i,j,k) indexing. + + If TNT_BOUNDS_CHECK macro is defined, the indices + are checked that they falls within the array bounds (via the + assert() macro.) +*/ +template +inline T& Fortran_Array3D::operator()(int i, int j, int k) +{ +#ifdef TNT_BOUNDS_CHECK + assert(k >= 1); + assert(k <= A_.dim1()); + assert(j >= 1); + assert(j <= A_.dim2()); + assert(i >= 1); + assert(i <= A_.dim3()); +#endif + + return A_[k-1][j-1][i-1]; + +} + +/** + Read-only version of A(i,j,k) indexing. + + If TNT_BOUNDS_CHECK macro is defined, the indices + are checked that they falls within the array bounds (via the + assert() macro.) +*/ +template +inline const T& Fortran_Array3D::operator()(int i, int j, int k) const +{ +#ifdef TNT_BOUNDS_CHECK + assert(k >= 1); + assert(k <= A_.dim1()); + assert(j >= 1); + assert(j <= A_.dim2()); + assert(i >= 1); + assert(i <= A_.dim3()); +#endif + + return A_[k-1][j-1][i-1]; + +} + + +/** + Assign all elemnts of A to a constant scalar. +*/ +template +Fortran_Array3D & Fortran_Array3D::operator=(const T &a) +{ + A_ = a; + return *this; +} +/** + Create a new of existing matrix. Used in B = A.copy() + or in the construction of B, e.g. Fortran_Array3D B(A.copy()), + to create a new array that does not share data. + +*/ +template +Fortran_Array3D Fortran_Array3D::copy() +{ + + Fortran_Array3D B; + + B.A_= A_.copy(); + return B; +} + + +/** + Copy the elements to from one array to another, in place. + That is B.inject(A), both A and B must conform (i.e. have + identical dimensions). + + This differs from B = A.copy() in that references to B + before this assignment are also affected. That is, if + we have + 

    +	Fortran_Array3D A(m,n,k);
+	Fortran_Array3D C(m,n,k);
+	Fortran_Array3D B(C);        // elements of B and C are shared. 
+
+
    + then B.inject(A) affects both and C, while B=A.copy() creates + a new array B which shares no data with C or A. + + @param A the array from elements will be copied + @return an instance of the modifed array. That is, in B.inject(A), + it returns B. If A and B are not conformat, no modifications to + B are made. + +*/ +template +Fortran_Array3D & Fortran_Array3D::inject(const Fortran_Array3D &A) +{ + A_.inject(A.A_); + + return *this; +} + + + + + +/** + Create a reference (shallow assignment) to another existing array. + In B.ref(A), B and A shared the same data and subsequent changes + to the array elements of one will be reflected in the other. +

    + This is what operator= calls, and B=A and B.ref(A) are equivalent + operations. + + @return The new referenced array: in B.ref(A), it returns B. +*/ +template +Fortran_Array3D & Fortran_Array3D::ref(const Fortran_Array3D &A) +{ + A_.ref(A.A_); + return *this; +} + +/** + B = A is shorthand notation for B.ref(A). +*/ +template +Fortran_Array3D & Fortran_Array3D::operator=(const Fortran_Array3D &A) +{ + return ref(A); +} + +/** + @return the size of the first dimension of the array. +*/ +template +inline int Fortran_Array3D::dim1() const { return A_.dim3(); } + +/** + @return the size of the second dimension of the array. +*/ +template +inline int Fortran_Array3D::dim2() const { return A_.dim2(); } + +/** + @return the size of the third (right-most) dimension of the array. +*/ +template +inline int Fortran_Array3D::dim3() const { return A_.dim1(); } + + +/** + @return the number of arrays that share the same storage area + as this one. (Must be at least one.) +*/ +template +inline int Fortran_Array3D::ref_count() const { return A_.ref_count(); } + +template +Fortran_Array3D::~Fortran_Array3D() +{ +} + + +} /* namespace TNT */ + +#endif +/* TNT_FORTRAN_ARRAY3D_H */ + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_fortran_array3d_utils.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_fortran_array3d_utils.h.svn-base new file mode 100644 index 0000000..6a72b75 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_fortran_array3d_utils.h.svn-base @@ -0,0 +1,84 @@ + + +#ifndef TNT_FORTRAN_ARRAY3D_UTILS_H +#define TNT_FORTRAN_ARRAY3D_UTILS_H + +#include +#include + +namespace TNT +{ + + +/** + Write an array to a character outstream. Output format is one that can + be read back in via the in-stream operator: three integers + denoting the array dimensions (m x n x k), followed by m + (n x k) arrays in "row-major" order. + +*/ +template +std::ostream& operator<<(std::ostream &s, const Fortran_Array3D &A) +{ + int M=A.dim1(); + int N=A.dim2(); + int K=A.dim3(); + + s << M << " " << N << " " << K << "\n"; + + for (int i=1; i<=M; i++) + { + for (int j=1; j<=N; j++) + { + for (int k=1; k<=K; k++) + s << A(i,j,k) << " "; + s << "\n"; + } + s << "\n"; + } + + + return s; +} + +/** + Read an array from a character stream. Input format + is three integers, denoting the dimensions (m x n x k), followed + by m*n*k whitespace-separated elments in "row-major" order + (i.e. right-most dimension varying fastest.) Newlines + are ignored. + +

    + Note: the array being read into references new memory + storage. If the intent is to fill an existing conformant + array, use cin >> B; A.inject(B) ); + instead or read the elements in one-a-time by hand. + + @param s the charater to read from (typically std::in) + @param A the array to read into. +*/ +template +std::istream& operator>>(std::istream &s, Fortran_Array3D &A) +{ + + int M, N, K; + + s >> M >> N >> K; + + Fortran_Array3D B(M,N,K); + + for (int i=1; i<=M; i++) + for (int j=1; j<=N; j++) + for (int k=1; k<=K; k++) + s >> B(i,j,k); + + A = B; + return s; +} + + + + +} // namespace TNT + +#endif diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_math_utils.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_math_utils.h.svn-base new file mode 100644 index 0000000..985d045 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_math_utils.h.svn-base @@ -0,0 +1,65 @@ +#ifndef MATH_UTILS_H +#define MATH_UTILS_H + +#include +/* needed for sqrt() below */ + +namespace TNT +{ +/** + @returns hypotenuse of real (non-complex) scalars a and b by + avoiding underflow/overflow + using (a * sqrt( 1 + (b/a) * (b/a))), rather than + sqrt(a*a + b*b). +*/ +template +Real hypot(const Real &a, const Real &b) +{ + + if (a== 0) + return abs(b); + else + { + Real c = b/a; + return a * sqrt(1 + c*c); + } +} + +/** + @returns the minimum of scalars a and b. +*/ +#undef min +template +Scalar min(const Scalar &a, const Scalar &b) +{ + return a < b ? a : b; +} + +/** + @returns the maximum of scalars a and b. +*/ +#undef max +template +Scalar max(const Scalar &a, const Scalar &b) +{ + return a > b ? a : b; +} + +/* added by G.Peyre */ +#define TNT_MIN(a, b) ((a) < (b) ? (a) : (b)) //!< Returns the min value between a and b +#define TNT_MAX(a, b) ((a) > (b) ? (a) : (b)) //!< Returns the max value between a and b +#define TNT_ABS(a) ((a) > 0 ? (a) : -(a)) //!< Returns the absolute value a + + +/** + @returns the absolute value of a real (no-complex) scalar. +*/ +template +Real abs(const Real &a) +{ + return (a > 0 ? a : -a); +} + +} +#endif +/* MATH_UTILS_H */ diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_sparse_matrix_csr.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_sparse_matrix_csr.h.svn-base new file mode 100644 index 0000000..0d4fde1 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_sparse_matrix_csr.h.svn-base @@ -0,0 +1,103 @@ +/* +* +* Template Numerical Toolkit (TNT) +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + +#ifndef TNT_SPARSE_MATRIX_CSR_H +#define TNT_SPARSE_MATRIX_CSR_H + +#include "tnt_array1d.h" + +namespace TNT +{ + + +/** + Read-only view of a sparse matrix in compressed-row storage + format. Neither array elements (nonzeros) nor sparsity + structure can be modified. If modifications are required, + create a new view. + +

    + Index values begin at 0. + +

    + Storage requirements: An (m x n) matrix with + nz nonzeros requires no more than ((T+I)*nz + M*I) + bytes, where T is the size of data elements and + I is the size of integers. + + +*/ +template +class Sparse_Matrix_CompRow { + +private: + Array1D val_; // data values (nz_ elements) + Array1D rowptr_; // row_ptr (dim_[0]+1 elements) + Array1D colind_; // col_ind (nz_ elements) + + int dim1_; // number of rows + int dim2_; // number of cols + +public: + + Sparse_Matrix_CompRow(const Sparse_Matrix_CompRow &S); + Sparse_Matrix_CompRow(int M, int N, int nz, const T *val, + const int *r, const int *c); + + + + inline const T& val(int i) const { return val_[i]; } + inline const int& row_ptr(int i) const { return rowptr_[i]; } + inline const int& col_ind(int i) const { return colind_[i];} + + inline int dim1() const {return dim1_;} + inline int dim2() const {return dim2_;} + int NumNonzeros() const {return val_.dim1();} + + + Sparse_Matrix_CompRow& operator=( + const Sparse_Matrix_CompRow &R); + + + +}; + +/** + Construct a read-only view of existing sparse matrix in + compressed-row storage format. + + @param M the number of rows of sparse matrix + @param N the number of columns of sparse matrix + @param nz the number of nonzeros + @param val a contiguous list of nonzero values + @param r row-pointers: r[i] denotes the begining position of row i + (i.e. the ith row begins at val[row[i]]). + @param c column-indices: c[i] denotes the column location of val[i] +*/ +template +Sparse_Matrix_CompRow::Sparse_Matrix_CompRow(int M, int N, int nz, + const T *val, const int *r, const int *c) : val_(nz,val), + rowptr_(M, r), colind_(nz, c), dim1_(M), dim2_(N) {} + + +} +// namespace TNT + +#endif diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_stopwatch.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_stopwatch.h.svn-base new file mode 100644 index 0000000..3bf68c9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_stopwatch.h.svn-base @@ -0,0 +1,122 @@ +/* +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + + +#ifndef STOPWATCH_H +#define STOPWATCH_H + +// for clock() and CLOCKS_PER_SEC +#include + + +namespace TNT +{ + +inline static double seconds(void) +{ + const double secs_per_tick = 1.0 / CLOCKS_PER_SEC; + return ( (double) clock() ) * secs_per_tick; +} + +/** + Performance Stopwatch used for benchmarking codes. + Measure seconds elapsed. +*/ +class Stopwatch { + private: + int running_; + double start_time_; + double total_; + + public: + Stopwatch(); + inline void start(); + inline double stop(); + inline double read(); + inline void resume(); + inline int running(); +}; + +/** + Create an instance of a Stopwatch, with its own internal + counter. +*/ +inline +Stopwatch::Stopwatch() : running_(0), start_time_(0.0), total_(0.0) {} + +/** + Start timing from 0.00. +*/ +inline +void Stopwatch::start() +{ + running_ = 1; + total_ = 0.0; + start_time_ = seconds(); +} + +/** + + Stop timing and return elapsed time (in seconds). +*/ +inline +double Stopwatch::stop() +{ + if (running_) + { + total_ += (seconds() - start_time_); + running_ = 0; + } + return total_; +} + +/** + Resume timing, if currently stopped. Operation + has no effect if Stopwatch is already running_. +*/ +inline +void Stopwatch::resume() +{ + if (!running_) + { + start_time_ = seconds(); + running_ = 1; + } +} + + +/** + Read current time (in seconds). +*/ +inline +double Stopwatch::read() +{ + if (running_) + { + stop(); + resume(); + } + return total_; +} + + +} +#endif + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_subscript.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_subscript.h.svn-base new file mode 100644 index 0000000..dfbd123 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_subscript.h.svn-base @@ -0,0 +1,54 @@ +/* +* +* Template Numerical Toolkit (TNT) +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + +#ifndef TNT_SUBSCRPT_H +#define TNT_SUBSCRPT_H + + +//--------------------------------------------------------------------- +// This definition describes the default TNT data type used for +// indexing into TNT matrices and vectors. The data type should +// be wide enough to index into large arrays. It defaults to an +// "int", but can be overriden at compile time redefining TNT_SUBSCRIPT_TYPE, +// e.g. +// +// c++ -DTNT_SUBSCRIPT_TYPE='unsigned int' ... +// +//--------------------------------------------------------------------- +// + +#ifndef TNT_SUBSCRIPT_TYPE +#define TNT_SUBSCRIPT_TYPE int +#endif + +namespace TNT +{ + typedef TNT_SUBSCRIPT_TYPE Subscript; +} + + +// () indexing in TNT means 1-offset, i.e. x(1) and A(1,1) are the +// first elements. This offset is left as a macro for future +// purposes, but should not be changed in the current release. +// +// +#define TNT_BASE_OFFSET (1) + +#endif diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_vec.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_vec.h.svn-base new file mode 100644 index 0000000..1dc92e0 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/.svn/text-base/tnt_vec.h.svn-base @@ -0,0 +1,404 @@ +/* +* +* Template Numerical Toolkit (TNT) +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + + +#ifndef TNT_VEC_H +#define TNT_VEC_H + +#include "tnt_subscript.h" +#include +#include +#include +#include + +namespace TNT +{ + +/** + [Deprecatred] Value-based vector class from pre-1.0 + TNT version. Kept here for backward compatiblity, but should + use the newer TNT::Array1D classes instead. + +*/ + +template +class Vector +{ + + + public: + + typedef Subscript size_type; + typedef T value_type; + typedef T element_type; + typedef T* pointer; + typedef T* iterator; + typedef T& reference; + typedef const T* const_iterator; + typedef const T& const_reference; + + Subscript lbound() const { return 1;} + + protected: + T* v_; + T* vm1_; // pointer adjustment for optimzied 1-offset indexing + Subscript n_; + + // internal helper function to create the array + // of row pointers + + void initialize(Subscript N) + { + // adjust pointers so that they are 1-offset: + // v_[] is the internal contiguous array, it is still 0-offset + // + assert(v_ == NULL); + v_ = new T[N]; + assert(v_ != NULL); + vm1_ = v_-1; + n_ = N; + } + + void copy(const T* v) + { + Subscript N = n_; + Subscript i; + +#ifdef TNT_UNROLL_LOOPS + Subscript Nmod4 = N & 3; + Subscript N4 = N - Nmod4; + + for (i=0; i &A) : v_(0), vm1_(0), n_(0) + { + initialize(A.n_); + copy(A.v_); + } + + Vector(Subscript N, const T& value = T()) : v_(0), vm1_(0), n_(0) + { + initialize(N); + set(value); + } + + Vector(Subscript N, const T* v) : v_(0), vm1_(0), n_(0) + { + initialize(N); + copy(v); + } + + Vector(Subscript N, char *s) : v_(0), vm1_(0), n_(0) + { + initialize(N); + std::istrstream ins(s); + + Subscript i; + + for (i=0; i> v_[i]; + } + + + // methods + // + Vector& newsize(Subscript N) + { + if (n_ == N) return *this; + + destroy(); + initialize(N); + + return *this; + } + + + // assignments + // + Vector& operator=(const Vector &A) + { + if (v_ == A.v_) + return *this; + + if (n_ == A.n_) // no need to re-alloc + copy(A.v_); + + else + { + destroy(); + initialize(A.n_); + copy(A.v_); + } + + return *this; + } + + Vector& operator=(const T& scalar) + { + set(scalar); + return *this; + } + + inline Subscript dim() const + { + return n_; + } + + inline Subscript size() const + { + return n_; + } + + + inline reference operator()(Subscript i) + { +#ifdef TNT_BOUNDS_CHECK + assert(1<=i); + assert(i <= n_) ; +#endif + return vm1_[i]; + } + + inline const_reference operator() (Subscript i) const + { +#ifdef TNT_BOUNDS_CHECK + assert(1<=i); + assert(i <= n_) ; +#endif + return vm1_[i]; + } + + inline reference operator[](Subscript i) + { +#ifdef TNT_BOUNDS_CHECK + assert(0<=i); + assert(i < n_) ; +#endif + return v_[i]; + } + + inline const_reference operator[](Subscript i) const + { +#ifdef TNT_BOUNDS_CHECK + assert(0<=i); + + + + + + + assert(i < n_) ; +#endif + return v_[i]; + } + + + +}; + + +/* *************************** I/O ********************************/ + +template +std::ostream& operator<<(std::ostream &s, const Vector &A) +{ + Subscript N=A.dim(); + + s << N << endl; + + for (Subscript i=0; i +std::istream & operator>>(std::istream &s, Vector &A) +{ + + Subscript N; + + s >> N; + + if ( !(N == A.size() )) + { + A.newsize(N); + } + + + for (Subscript i=0; i> A[i]; + + + return s; +} + +// *******************[ basic matrix algorithms ]*************************** + + +template +Vector operator+(const Vector &A, + const Vector &B) +{ + Subscript N = A.dim(); + + assert(N==B.dim()); + + Vector tmp(N); + Subscript i; + + for (i=0; i +Vector operator-(const Vector &A, + const Vector &B) +{ + Subscript N = A.dim(); + + assert(N==B.dim()); + + Vector tmp(N); + Subscript i; + + for (i=0; i +Vector operator*(const Vector &A, + const Vector &B) +{ + Subscript N = A.dim(); + + assert(N==B.dim()); + + Vector tmp(N); + Subscript i; + + for (i=0; i +T dot_prod(const Vector &A, const Vector &B) +{ + Subscript N = A.dim(); + assert(N == B.dim()); + + Subscript i; + T sum = 0; + + for (i=0; i + For a symmetric, positive definite matrix A, this function + computes the Cholesky factorization, i.e. it computes a lower + triangular matrix L such that A = L*L'. + If the matrix is not symmetric or positive definite, the function + computes only a partial decomposition. This can be tested with + the is_spd() flag. + +

    Typical usage looks like: + 

    +	Array2D A(n,n);
+	Array2D L;
+
+	 ... 
+
+	Cholesky chol(A);
+
+	if (chol.is_spd())
+		L = chol.getL();
+		
+  	else
+		cout << "factorization was not complete.\n";
+
+
    + + +

    + (Adapted from JAMA, a Java Matrix Library, developed by jointly + by the Mathworks and NIST; see http://math.nist.gov/javanumerics/jama). + + */ + +template +class Cholesky +{ + Array2D L_; // lower triangular factor + int isspd; // 1 if matrix to be factored was SPD + +public: + + Cholesky(); + Cholesky(const Array2D &A); + Array2D getL() const; + Array1D solve(const Array1D &B); + Array2D solve(const Array2D &B); + int is_spd() const; + +}; + +template +Cholesky::Cholesky() : L_(0,0), isspd(0) {} + +/** + @return 1, if original matrix to be factored was symmetric + positive-definite (SPD). +*/ +template +int Cholesky::is_spd() const +{ + return isspd; +} + +/** + @return the lower triangular factor, L, such that L*L'=A. +*/ +template +Array2D Cholesky::getL() const +{ + return L_; +} + +/** + Constructs a lower triangular matrix L, such that L*L'= A. + If A is not symmetric positive-definite (SPD), only a + partial factorization is performed. If is_spd() + evalutate true (1) then the factorizaiton was successful. +*/ +template +Cholesky::Cholesky(const Array2D &A) +{ + + + int m = A.dim1(); + int n = A.dim2(); + + isspd = (m == n); + + if (m != n) + { + L_ = Array2D(0,0); + return; + } + + L_ = Array2D(n,n); + + + // Main loop. + for (int j = 0; j < n; j++) + { + double d = 0.0; + for (int k = 0; k < j; k++) + { + Real s = 0.0; + for (int i = 0; i < k; i++) + { + s += L_[k][i]*L_[j][i]; + } + L_[j][k] = s = (A[j][k] - s)/L_[k][k]; + d = d + s*s; + isspd = isspd && (A[k][j] == A[j][k]); + } + d = A[j][j] - d; + isspd = isspd && (d > 0.0); + L_[j][j] = sqrt(d > 0.0 ? d : 0.0); + for (int k = j+1; k < n; k++) + { + L_[j][k] = 0.0; + } + } +} + +/** + + Solve a linear system A*x = b, using the previously computed + cholesky factorization of A: L*L'. + + @param B A Matrix with as many rows as A and any number of columns. + @return x so that L*L'*x = b. If b is nonconformat, or if A + was not symmetric posidtive definite, a null (0x0) + array is returned. +*/ +template +Array1D Cholesky::solve(const Array1D &b) +{ + int n = L_.dim1(); + if (b.dim1() != n) + return Array1D(); + + + Array1D x = b.copy(); + + + // Solve L*y = b; + for (int k = 0; k < n; k++) + { + for (int i = 0; i < k; i++) + x[k] -= x[i]*L_[k][i]; + x[k] /= L_[k][k]; + + } + + // Solve L'*X = Y; + for (int k = n-1; k >= 0; k--) + { + for (int i = k+1; i < n; i++) + x[k] -= x[i]*L_[i][k]; + x[k] /= L_[k][k]; + } + + return x; +} + + +/** + + Solve a linear system A*X = B, using the previously computed + cholesky factorization of A: L*L'. + + @param B A Matrix with as many rows as A and any number of columns. + @return X so that L*L'*X = B. If B is nonconformat, or if A + was not symmetric posidtive definite, a null (0x0) + array is returned. +*/ +template +Array2D Cholesky::solve(const Array2D &B) +{ + int n = L_.dim1(); + if (B.dim1() != n) + return Array2D(); + + + Array2D X = B.copy(); + int nx = B.dim2(); + +// Cleve's original code +#if 0 + // Solve L*Y = B; + for (int k = 0; k < n; k++) { + for (int i = k+1; i < n; i++) { + for (int j = 0; j < nx; j++) { + X[i][j] -= X[k][j]*L_[k][i]; + } + } + for (int j = 0; j < nx; j++) { + X[k][j] /= L_[k][k]; + } + } + + // Solve L'*X = Y; + for (int k = n-1; k >= 0; k--) { + for (int j = 0; j < nx; j++) { + X[k][j] /= L_[k][k]; + } + for (int i = 0; i < k; i++) { + for (int j = 0; j < nx; j++) { + X[i][j] -= X[k][j]*L_[k][i]; + } + } + } +#endif + + + // Solve L*y = b; + for (int j=0; j< nx; j++) + { + for (int k = 0; k < n; k++) + { + for (int i = 0; i < k; i++) + X[k][j] -= X[i][j]*L_[k][i]; + X[k][j] /= L_[k][k]; + } + } + + // Solve L'*X = Y; + for (int j=0; j= 0; k--) + { + for (int i = k+1; i < n; i++) + X[k][j] -= X[i][j]*L_[i][k]; + X[k][j] /= L_[k][k]; + } + } + + + + return X; +} + + +} +// namespace JAMA + +#endif +// JAMA_CHOLESKY_H diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/jama_eig.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/jama_eig.h new file mode 100644 index 0000000..aaa1fc5 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/jama_eig.h @@ -0,0 +1,1026 @@ +#ifndef JAMA_EIG_H +#define JAMA_EIG_H + + +#include "tnt_array1d.h" +#include "tnt_array2d.h" +#include "tnt_math_utils.h" + + +// using namespace TNT; + + +namespace JAMA +{ + +/** + + Computes eigenvalues and eigenvectors of a real (non-complex) + matrix. +

    + If A is symmetric, then A = V*D*V' where the eigenvalue matrix D is + diagonal and the eigenvector matrix V is orthogonal. That is, + the diagonal values of D are the eigenvalues, and + V*V' = I, where I is the identity matrix. The columns of V + represent the eigenvectors in the sense that A*V = V*D. + +

    + If A is not symmetric, then the eigenvalue matrix D is block diagonal + with the real eigenvalues in 1-by-1 blocks and any complex eigenvalues, + a + i*b, in 2-by-2 blocks, [a, b; -b, a]. That is, if the complex + eigenvalues look like +

    +
+          u + iv     .        .          .      .    .
+            .      u - iv     .          .      .    .
+            .        .      a + ib       .      .    .
+            .        .        .        a - ib   .    .
+            .        .        .          .      x    .
+            .        .        .          .      .    y
+
    + then D looks like +
    +
+            u        v        .          .      .    .
+           -v        u        .          .      .    . 
+            .        .        a          b      .    .
+            .        .       -b          a      .    .
+            .        .        .          .      x    .
+            .        .        .          .      .    y
+
    + This keeps V a real matrix in both symmetric and non-symmetric + cases, and A*V = V*D. + + + +

    + The matrix V may be badly + conditioned, or even singular, so the validity of the equation + A = V*D*inverse(V) depends upon the condition number of V. + +

    + (Adapted from JAMA, a Java Matrix Library, developed by jointly + by the Mathworks and NIST; see http://math.nist.gov/javanumerics/jama). +**/ + +using TNT::abs; + +template +class Eigenvalue +{ + + /** Row and column dimension (square matrix). */ + int n; + + int issymmetric; /* boolean*/ + + /** Arrays for internal storage of eigenvalues. */ + + TNT::Array1D d; /* real part */ + TNT::Array1D e; /* img part */ + + /** Array for internal storage of eigenvectors. */ + TNT::Array2D V; + + /** Array for internal storage of nonsymmetric Hessenberg form. + @serial internal storage of nonsymmetric Hessenberg form. + */ + TNT::Array2D H; + + + /** Working storage for nonsymmetric algorithm. + @serial working storage for nonsymmetric algorithm. + */ + TNT::Array1D ort; + + + // Symmetric Householder reduction to tridiagonal form. + + void tred2() { + + // This is derived from the Algol procedures tred2 by + // Bowdler, Martin, Reinsch, and Wilkinson, Handbook for + // Auto. Comp., Vol.ii-Linear Algebra, and the corresponding + // Fortran subroutine in EISPACK. + + for (int j = 0; j < n; j++) { + d[j] = V[n-1][j]; + } + + // Householder reduction to tridiagonal form. + + for (int i = n-1; i > 0; i--) { + + // Scale to avoid under/overflow. + + Real scale = 0.0; + Real h = 0.0; + for (int k = 0; k < i; k++) { + scale = scale + abs(d[k]); + } + if (scale == 0.0) { + e[i] = d[i-1]; + for (int j = 0; j < i; j++) { + d[j] = V[i-1][j]; + V[i][j] = 0.0; + V[j][i] = 0.0; + } + } else { + + // Generate Householder vector. + + for (int k = 0; k < i; k++) { + d[k] /= scale; + h += d[k] * d[k]; + } + Real f = d[i-1]; + Real g = sqrt(h); + if (f > 0) { + g = -g; + } + e[i] = scale * g; + h = h - f * g; + d[i-1] = f - g; + for (int j = 0; j < i; j++) { + e[j] = 0.0; + } + + // Apply similarity transformation to remaining columns. + + for (int j = 0; j < i; j++) { + f = d[j]; + V[j][i] = f; + g = e[j] + V[j][j] * f; + for (int k = j+1; k <= i-1; k++) { + g += V[k][j] * d[k]; + e[k] += V[k][j] * f; + } + e[j] = g; + } + f = 0.0; + for (int j = 0; j < i; j++) { + e[j] /= h; + f += e[j] * d[j]; + } + Real hh = f / (h + h); + for (int j = 0; j < i; j++) { + e[j] -= hh * d[j]; + } + for (int j = 0; j < i; j++) { + f = d[j]; + g = e[j]; + for (int k = j; k <= i-1; k++) { + V[k][j] -= (f * e[k] + g * d[k]); + } + d[j] = V[i-1][j]; + V[i][j] = 0.0; + } + } + d[i] = h; + } + + // Accumulate transformations. + + for (int i = 0; i < n-1; i++) { + V[n-1][i] = V[i][i]; + V[i][i] = 1.0; + Real h = d[i+1]; + if (h != 0.0) { + for (int k = 0; k <= i; k++) { + d[k] = V[k][i+1] / h; + } + for (int j = 0; j <= i; j++) { + Real g = 0.0; + for (int k = 0; k <= i; k++) { + g += V[k][i+1] * V[k][j]; + } + for (int k = 0; k <= i; k++) { + V[k][j] -= g * d[k]; + } + } + } + for (int k = 0; k <= i; k++) { + V[k][i+1] = 0.0; + } + } + for (int j = 0; j < n; j++) { + d[j] = V[n-1][j]; + V[n-1][j] = 0.0; + } + V[n-1][n-1] = 1.0; + e[0] = 0.0; + } + + // Symmetric tridiagonal QL algorithm. + + void tql2 () { + + // This is derived from the Algol procedures tql2, by + // Bowdler, Martin, Reinsch, and Wilkinson, Handbook for + // Auto. Comp., Vol.ii-Linear Algebra, and the corresponding + // Fortran subroutine in EISPACK. + + for (int i = 1; i < n; i++) { + e[i-1] = e[i]; + } + e[n-1] = 0.0; + + Real f = 0.0; + Real tst1 = 0.0; + Real eps = pow(2.0,-52.0); + for (int l = 0; l < n; l++) { + + // Find small subdiagonal element + + tst1 = TNT::max(tst1,abs(d[l]) + abs(e[l])); + int m = l; + + // Original while-loop from Java code + while (m < n) { + if (abs(e[m]) <= eps*tst1) { + break; + } + m++; + } + + + // If m == l, d[l] is an eigenvalue, + // otherwise, iterate. + + if (m > l) { + int iter = 0; + do { + iter = iter + 1; // (Could check iteration count here.) + + // Compute implicit shift + + Real g = d[l]; + Real p = (d[l+1] - g) / (2.0 * e[l]); + Real r = hypot(p,1.0); + if (p < 0) { + r = -r; + } + d[l] = e[l] / (p + r); + d[l+1] = e[l] * (p + r); + Real dl1 = d[l+1]; + Real h = g - d[l]; + for (int i = l+2; i < n; i++) { + d[i] -= h; + } + f = f + h; + + // Implicit QL transformation. + + p = d[m]; + Real c = 1.0; + Real c2 = c; + Real c3 = c; + Real el1 = e[l+1]; + Real s = 0.0; + Real s2 = 0.0; + for (int i = m-1; i >= l; i--) { + c3 = c2; + c2 = c; + s2 = s; + g = c * e[i]; + h = c * p; + r = hypot(p,e[i]); + e[i+1] = s * r; + s = e[i] / r; + c = p / r; + p = c * d[i] - s * g; + d[i+1] = h + s * (c * g + s * d[i]); + + // Accumulate transformation. + + for (int k = 0; k < n; k++) { + h = V[k][i+1]; + V[k][i+1] = s * V[k][i] + c * h; + V[k][i] = c * V[k][i] - s * h; + } + } + p = -s * s2 * c3 * el1 * e[l] / dl1; + e[l] = s * p; + d[l] = c * p; + + // Check for convergence. + + } while (abs(e[l]) > eps*tst1); + } + d[l] = d[l] + f; + e[l] = 0.0; + } + + // Sort eigenvalues and corresponding vectors. + + for (int i = 0; i < n-1; i++) { + int k = i; + Real p = d[i]; + for (int j = i+1; j < n; j++) { + if (d[j] < p) { + k = j; + p = d[j]; + } + } + if (k != i) { + d[k] = d[i]; + d[i] = p; + for (int j = 0; j < n; j++) { + p = V[j][i]; + V[j][i] = V[j][k]; + V[j][k] = p; + } + } + } + } + + // Nonsymmetric reduction to Hessenberg form. + + void orthes () { + + // This is derived from the Algol procedures orthes and ortran, + // by Martin and Wilkinson, Handbook for Auto. Comp., + // Vol.ii-Linear Algebra, and the corresponding + // Fortran subroutines in EISPACK. + + int low = 0; + int high = n-1; + + for (int m = low+1; m <= high-1; m++) { + + // Scale column. + + Real scale = 0.0; + for (int i = m; i <= high; i++) { + scale = scale + abs(H[i][m-1]); + } + if (scale != 0.0) { + + // Compute Householder transformation. + + Real h = 0.0; + for (int i = high; i >= m; i--) { + ort[i] = H[i][m-1]/scale; + h += ort[i] * ort[i]; + } + Real g = sqrt(h); + if (ort[m] > 0) { + g = -g; + } + h = h - ort[m] * g; + ort[m] = ort[m] - g; + + // Apply Householder similarity transformation + // H = (I-u*u'/h)*H*(I-u*u')/h) + + for (int j = m; j < n; j++) { + Real f = 0.0; + for (int i = high; i >= m; i--) { + f += ort[i]*H[i][j]; + } + f = f/h; + for (int i = m; i <= high; i++) { + H[i][j] -= f*ort[i]; + } + } + + for (int i = 0; i <= high; i++) { + Real f = 0.0; + for (int j = high; j >= m; j--) { + f += ort[j]*H[i][j]; + } + f = f/h; + for (int j = m; j <= high; j++) { + H[i][j] -= f*ort[j]; + } + } + ort[m] = scale*ort[m]; + H[m][m-1] = scale*g; + } + } + + // Accumulate transformations (Algol's ortran). + + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + V[i][j] = (i == j ? 1.0 : 0.0); + } + } + + for (int m = high-1; m >= low+1; m--) { + if (H[m][m-1] != 0.0) { + for (int i = m+1; i <= high; i++) { + ort[i] = H[i][m-1]; + } + for (int j = m; j <= high; j++) { + Real g = 0.0; + for (int i = m; i <= high; i++) { + g += ort[i] * V[i][j]; + } + // Double division avoids possible underflow + g = (g / ort[m]) / H[m][m-1]; + for (int i = m; i <= high; i++) { + V[i][j] += g * ort[i]; + } + } + } + } + } + + + // Complex scalar division. + + Real cdivr, cdivi; + void cdiv(Real xr, Real xi, Real yr, Real yi) { + Real r,d; + if (abs(yr) > abs(yi)) { + r = yi/yr; + d = yr + r*yi; + cdivr = (xr + r*xi)/d; + cdivi = (xi - r*xr)/d; + } else { + r = yr/yi; + d = yi + r*yr; + cdivr = (r*xr + xi)/d; + cdivi = (r*xi - xr)/d; + } + } + + + // Nonsymmetric reduction from Hessenberg to real Schur form. + + void hqr2 () { + + // This is derived from the Algol procedure hqr2, + // by Martin and Wilkinson, Handbook for Auto. Comp., + // Vol.ii-Linear Algebra, and the corresponding + // Fortran subroutine in EISPACK. + + // Initialize + + int nn = this->n; + int n = nn-1; + int low = 0; + int high = nn-1; + Real eps = pow(2.0,-52.0); + Real exshift = 0.0; + Real p=0,q=0,r=0,s=0,z=0,t,w,x,y; + + // Store roots isolated by balanc and compute matrix norm + + Real norm = 0.0; + for (int i = 0; i < nn; i++) { + if ((i < low) || (i > high)) { + d[i] = H[i][i]; + e[i] = 0.0; + } + for (int j = TNT::max(i-1,0); j < nn; j++) { + norm = norm + abs(H[i][j]); + } + } + + // Outer loop over eigenvalue index + + int iter = 0; + while (n >= low) { + + // Look for single small sub-diagonal element + + int l = n; + while (l > low) { + s = abs(H[l-1][l-1]) + abs(H[l][l]); + if (s == 0.0) { + s = norm; + } + if (abs(H[l][l-1]) < eps * s) { + break; + } + l--; + } + + // Check for convergence + // One root found + + if (l == n) { + H[n][n] = H[n][n] + exshift; + d[n] = H[n][n]; + e[n] = 0.0; + n--; + iter = 0; + + // Two roots found + + } else if (l == n-1) { + w = H[n][n-1] * H[n-1][n]; + p = (H[n-1][n-1] - H[n][n]) / 2.0; + q = p * p + w; + z = sqrt(abs(q)); + H[n][n] = H[n][n] + exshift; + H[n-1][n-1] = H[n-1][n-1] + exshift; + x = H[n][n]; + + // Real pair + + if (q >= 0) { + if (p >= 0) { + z = p + z; + } else { + z = p - z; + } + d[n-1] = x + z; + d[n] = d[n-1]; + if (z != 0.0) { + d[n] = x - w / z; + } + e[n-1] = 0.0; + e[n] = 0.0; + x = H[n][n-1]; + s = abs(x) + abs(z); + p = x / s; + q = z / s; + r = sqrt(p * p+q * q); + p = p / r; + q = q / r; + + // Row modification + + for (int j = n-1; j < nn; j++) { + z = H[n-1][j]; + H[n-1][j] = q * z + p * H[n][j]; + H[n][j] = q * H[n][j] - p * z; + } + + // Column modification + + for (int i = 0; i <= n; i++) { + z = H[i][n-1]; + H[i][n-1] = q * z + p * H[i][n]; + H[i][n] = q * H[i][n] - p * z; + } + + // Accumulate transformations + + for (int i = low; i <= high; i++) { + z = V[i][n-1]; + V[i][n-1] = q * z + p * V[i][n]; + V[i][n] = q * V[i][n] - p * z; + } + + // Complex pair + + } else { + d[n-1] = x + p; + d[n] = x + p; + e[n-1] = z; + e[n] = -z; + } + n = n - 2; + iter = 0; + + // No convergence yet + + } else { + + // Form shift + + x = H[n][n]; + y = 0.0; + w = 0.0; + if (l < n) { + y = H[n-1][n-1]; + w = H[n][n-1] * H[n-1][n]; + } + + // Wilkinson's original ad hoc shift + + if (iter == 10) { + exshift += x; + for (int i = low; i <= n; i++) { + H[i][i] -= x; + } + s = abs(H[n][n-1]) + abs(H[n-1][n-2]); + x = y = 0.75 * s; + w = -0.4375 * s * s; + } + + // MATLAB's new ad hoc shift + + if (iter == 30) { + s = (y - x) / 2.0; + s = s * s + w; + if (s > 0) { + s = sqrt(s); + if (y < x) { + s = -s; + } + s = x - w / ((y - x) / 2.0 + s); + for (int i = low; i <= n; i++) { + H[i][i] -= s; + } + exshift += s; + x = y = w = 0.964; + } + } + + iter = iter + 1; // (Could check iteration count here.) + + // Look for two consecutive small sub-diagonal elements + + int m = n-2; + while (m >= l) { + z = H[m][m]; + r = x - z; + s = y - z; + p = (r * s - w) / H[m+1][m] + H[m][m+1]; + q = H[m+1][m+1] - z - r - s; + r = H[m+2][m+1]; + s = abs(p) + abs(q) + abs(r); + p = p / s; + q = q / s; + r = r / s; + if (m == l) { + break; + } + if (abs(H[m][m-1]) * (abs(q) + abs(r)) < + eps * (abs(p) * (abs(H[m-1][m-1]) + abs(z) + + abs(H[m+1][m+1])))) { + break; + } + m--; + } + + for (int i = m+2; i <= n; i++) { + H[i][i-2] = 0.0; + if (i > m+2) { + H[i][i-3] = 0.0; + } + } + + // Double QR step involving rows l:n and columns m:n + + for (int k = m; k <= n-1; k++) { + int notlast = (k != n-1); + if (k != m) { + p = H[k][k-1]; + q = H[k+1][k-1]; + r = (notlast ? H[k+2][k-1] : 0.0); + x = abs(p) + abs(q) + abs(r); + if (x != 0.0) { + p = p / x; + q = q / x; + r = r / x; + } + } + if (x == 0.0) { + break; + } + s = sqrt(p * p + q * q + r * r); + if (p < 0) { + s = -s; + } + if (s != 0) { + if (k != m) { + H[k][k-1] = -s * x; + } else if (l != m) { + H[k][k-1] = -H[k][k-1]; + } + p = p + s; + x = p / s; + y = q / s; + z = r / s; + q = q / p; + r = r / p; + + // Row modification + + for (int j = k; j < nn; j++) { + p = H[k][j] + q * H[k+1][j]; + if (notlast) { + p = p + r * H[k+2][j]; + H[k+2][j] = H[k+2][j] - p * z; + } + H[k][j] = H[k][j] - p * x; + H[k+1][j] = H[k+1][j] - p * y; + } + + // Column modification + + for (int i = 0; i <= TNT::min(n,k+3); i++) { + p = x * H[i][k] + y * H[i][k+1]; + if (notlast) { + p = p + z * H[i][k+2]; + H[i][k+2] = H[i][k+2] - p * r; + } + H[i][k] = H[i][k] - p; + H[i][k+1] = H[i][k+1] - p * q; + } + + // Accumulate transformations + + for (int i = low; i <= high; i++) { + p = x * V[i][k] + y * V[i][k+1]; + if (notlast) { + p = p + z * V[i][k+2]; + V[i][k+2] = V[i][k+2] - p * r; + } + V[i][k] = V[i][k] - p; + V[i][k+1] = V[i][k+1] - p * q; + } + } // (s != 0) + } // k loop + } // check convergence + } // while (n >= low) + + // Backsubstitute to find vectors of upper triangular form + + if (norm == 0.0) { + return; + } + + for (n = nn-1; n >= 0; n--) { + p = d[n]; + q = e[n]; + + // Real vector + + if (q == 0) { + int l = n; + H[n][n] = 1.0; + for (int i = n-1; i >= 0; i--) { + w = H[i][i] - p; + r = 0.0; + for (int j = l; j <= n; j++) { + r = r + H[i][j] * H[j][n]; + } + if (e[i] < 0.0) { + z = w; + s = r; + } else { + l = i; + if (e[i] == 0.0) { + if (w != 0.0) { + H[i][n] = -r / w; + } else { + H[i][n] = -r / (eps * norm); + } + + // Solve real equations + + } else { + x = H[i][i+1]; + y = H[i+1][i]; + q = (d[i] - p) * (d[i] - p) + e[i] * e[i]; + t = (x * s - z * r) / q; + H[i][n] = t; + if (abs(x) > abs(z)) { + H[i+1][n] = (-r - w * t) / x; + } else { + H[i+1][n] = (-s - y * t) / z; + } + } + + // Overflow control + + t = abs(H[i][n]); + if ((eps * t) * t > 1) { + for (int j = i; j <= n; j++) { + H[j][n] = H[j][n] / t; + } + } + } + } + + // Complex vector + + } else if (q < 0) { + int l = n-1; + + // Last vector component imaginary so matrix is triangular + + if (abs(H[n][n-1]) > abs(H[n-1][n])) { + H[n-1][n-1] = q / H[n][n-1]; + H[n-1][n] = -(H[n][n] - p) / H[n][n-1]; + } else { + cdiv(0.0,-H[n-1][n],H[n-1][n-1]-p,q); + H[n-1][n-1] = cdivr; + H[n-1][n] = cdivi; + } + H[n][n-1] = 0.0; + H[n][n] = 1.0; + for (int i = n-2; i >= 0; i--) { + Real ra,sa,vr,vi; + ra = 0.0; + sa = 0.0; + for (int j = l; j <= n; j++) { + ra = ra + H[i][j] * H[j][n-1]; + sa = sa + H[i][j] * H[j][n]; + } + w = H[i][i] - p; + + if (e[i] < 0.0) { + z = w; + r = ra; + s = sa; + } else { + l = i; + if (e[i] == 0) { + cdiv(-ra,-sa,w,q); + H[i][n-1] = cdivr; + H[i][n] = cdivi; + } else { + + // Solve complex equations + + x = H[i][i+1]; + y = H[i+1][i]; + vr = (d[i] - p) * (d[i] - p) + e[i] * e[i] - q * q; + vi = (d[i] - p) * 2.0 * q; + if ((vr == 0.0) && (vi == 0.0)) { + vr = eps * norm * (abs(w) + abs(q) + + abs(x) + abs(y) + abs(z)); + } + cdiv(x*r-z*ra+q*sa,x*s-z*sa-q*ra,vr,vi); + H[i][n-1] = cdivr; + H[i][n] = cdivi; + if (abs(x) > (abs(z) + abs(q))) { + H[i+1][n-1] = (-ra - w * H[i][n-1] + q * H[i][n]) / x; + H[i+1][n] = (-sa - w * H[i][n] - q * H[i][n-1]) / x; + } else { + cdiv(-r-y*H[i][n-1],-s-y*H[i][n],z,q); + H[i+1][n-1] = cdivr; + H[i+1][n] = cdivi; + } + } + + // Overflow control + + t = TNT::max(abs(H[i][n-1]),abs(H[i][n])); + if ((eps * t) * t > 1) { + for (int j = i; j <= n; j++) { + H[j][n-1] = H[j][n-1] / t; + H[j][n] = H[j][n] / t; + } + } + } + } + } + } + + // Vectors of isolated roots + + for (int i = 0; i < nn; i++) { + if (i < low || i > high) { + for (int j = i; j < nn; j++) { + V[i][j] = H[i][j]; + } + } + } + + // Back transformation to get eigenvectors of original matrix + + for (int j = nn-1; j >= low; j--) { + for (int i = low; i <= high; i++) { + z = 0.0; + for (int k = low; k <= TNT::min(j,high); k++) { + z = z + V[i][k] * H[k][j]; + } + V[i][j] = z; + } + } + } + +public: + + + /** Check for symmetry, then construct the eigenvalue decomposition + @param A Square real (non-complex) matrix + */ + + Eigenvalue(const TNT::Array2D &A) { + n = A.dim2(); + V = Array2D(n,n); + d = Array1D(n); + e = Array1D(n); + + issymmetric = 1; + for (int j = 0; (j < n) && issymmetric; j++) { + for (int i = 0; (i < n) && issymmetric; i++) { + issymmetric = (A[i][j] == A[j][i]); + } + } + + if (issymmetric) { + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + V[i][j] = A[i][j]; + } + } + + // Tridiagonalize. + tred2(); + + // Diagonalize. + tql2(); + + } else { + H = TNT::Array2D(n,n); + ort = TNT::Array1D(n); + + for (int j = 0; j < n; j++) { + for (int i = 0; i < n; i++) { + H[i][j] = A[i][j]; + } + } + + // Reduce to Hessenberg form. + orthes(); + + // Reduce Hessenberg to real Schur form. + hqr2(); + } + } + + + /** Return the eigenvector matrix + @return V + */ + + void getV (TNT::Array2D &V_) { + V_ = V; + return; + } + + /** Return the real parts of the eigenvalues + @return real(diag(D)) + */ + + void getRealEigenvalues (TNT::Array1D &d_) { + d_ = d; + return ; + } + + /** Return the imaginary parts of the eigenvalues + in parameter e_. + + @pararm e_: new matrix with imaginary parts of the eigenvalues. + */ + void getImagEigenvalues (TNT::Array1D &e_) { + e_ = e; + return; + } + + +/** + Computes the block diagonal eigenvalue matrix. + If the original matrix A is not symmetric, then the eigenvalue + matrix D is block diagonal with the real eigenvalues in 1-by-1 + blocks and any complex eigenvalues, + a + i*b, in 2-by-2 blocks, [a, b; -b, a]. That is, if the complex + eigenvalues look like +

    +
+          u + iv     .        .          .      .    .
+            .      u - iv     .          .      .    .
+            .        .      a + ib       .      .    .
+            .        .        .        a - ib   .    .
+            .        .        .          .      x    .
+            .        .        .          .      .    y
+
    + then D looks like +
    +
+            u        v        .          .      .    .
+           -v        u        .          .      .    . 
+            .        .        a          b      .    .
+            .        .       -b          a      .    .
+            .        .        .          .      x    .
+            .        .        .          .      .    y
+
    + This keeps V a real matrix in both symmetric and non-symmetric + cases, and A*V = V*D. + + @param D: upon return, the matrix is filled with the block diagonal + eigenvalue matrix. + +*/ + void getD (TNT::Array2D &D) { + D = Array2D(n,n); + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + D[i][j] = 0.0; + } + D[i][i] = d[i]; + if (e[i] > 0) { + D[i][i+1] = e[i]; + } else if (e[i] < 0) { + D[i][i-1] = e[i]; + } + } + } +}; + +} //namespace JAMA + + +#endif +// JAMA_EIG_H diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/jama_lu.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/jama_lu.h new file mode 100644 index 0000000..3c1fd19 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/jama_lu.h @@ -0,0 +1,319 @@ +#ifndef JAMA_LU_H +#define JAMA_LU_H + +#include "tnt.h" + +// using namespace TNT; + + +namespace JAMA +{ + + /** LU Decomposition. +

    + For an m-by-n matrix A with m >= n, the LU decomposition is an m-by-n + unit lower triangular matrix L, an n-by-n upper triangular matrix U, + and a permutation vector piv of length m so that A(piv,:) = L*U. + If m < n, then L is m-by-m and U is m-by-n. +

    + The LU decompostion with pivoting always exists, even if the matrix is + singular, so the constructor will never fail. The primary use of the + LU decomposition is in the solution of square systems of simultaneous + linear equations. This will fail if isNonsingular() returns false. + */ +template +class LU +{ + + + + /* Array for internal storage of decomposition. */ + Array2D LU_; + int m, n, pivsign; + Array1D piv; + + + Array2D permute_copy(const Array2D &A, + const Array1D &piv, int j0, int j1) + { + int piv_length = piv.dim(); + + Array2D X(piv_length, j1-j0+1); + + + for (int i = 0; i < piv_length; i++) + for (int j = j0; j <= j1; j++) + X[i][j-j0] = A[piv[i]][j]; + + return X; + } + + Array1D permute_copy(const Array1D &A, + const Array1D &piv) + { + int piv_length = piv.dim(); + if (piv_length != A.dim()) + return Array1D(); + + Array1D x(piv_length); + + + for (int i = 0; i < piv_length; i++) + x[i] = A[piv[i]]; + + return x; + } + + + public : + + /** LU Decomposition + @param A Rectangular matrix + @return LU Decomposition object to access L, U and piv. + */ + + LU (const Array2D &A) : LU_(A.copy()), m(A.dim1()), n(A.dim2()), + piv(A.dim1()) + + { + + // Use a "left-looking", dot-product, Crout/Doolittle algorithm. + + int i=0; + int j=0; + int k=0; + + for (i = 0; i < m; i++) { + piv[i] = i; + } + pivsign = 1; + Real *LUrowi = 0;; + Array1D LUcolj(m); + + // Outer loop. + + for (j = 0; j < n; j++) { + + // Make a copy of the j-th column to localize references. + + for (i = 0; i < m; i++) { + LUcolj[i] = LU_[i][j]; + } + + // Apply previous transformations. + + for (int i = 0; i < m; i++) { + LUrowi = LU_[i]; + + // Most of the time is spent in the following dot product. + + int kmax = TNT_MIN(i,j); + double s = 0.0; + for (k = 0; k < kmax; k++) { + s += LUrowi[k]*LUcolj[k]; + } + + LUrowi[j] = LUcolj[i] -= s; + } + + // Find pivot and exchange if necessary. + + int p = j; + for (int i = j+1; i < m; i++) { + if (TNT_ABS(LUcolj[i]) > TNT_ABS(LUcolj[p])) { + p = i; + } + } + if (p != j) { + for (k = 0; k < n; k++) { + double t = LU_[p][k]; + LU_[p][k] = LU_[j][k]; + LU_[j][k] = t; + } + k = piv[p]; + piv[p] = piv[j]; + piv[j] = k; + pivsign = -pivsign; + } + + // Compute multipliers. + + if ((j < m) && (LU_[j][j] != 0.0)) { + for (int i = j+1; i < m; i++) { + LU_[i][j] /= LU_[j][j]; + } + } + } + } + + + /** Is the matrix nonsingular? + @return 1 (true) if upper triangular factor U (and hence A) + is nonsingular, 0 otherwise. + */ + + int isNonsingular () { + for (int j = 0; j < n; j++) { + if (LU_[j][j] == 0) + return 0; + } + return 1; + } + + /** Return lower triangular factor + @return L + */ + + Array2D getL () { + Array2D L_(m,n); + for (int i = 0; i < m; i++) { + for (int j = 0; j < n; j++) { + if (i > j) { + L_[i][j] = LU_[i][j]; + } else if (i == j) { + L_[i][j] = 1.0; + } else { + L_[i][j] = 0.0; + } + } + } + return L_; + } + + /** Return upper triangular factor + @return U portion of LU factorization. + */ + + Array2D getU () { + Array2D U_(n,n); + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + if (i <= j) { + U_[i][j] = LU_[i][j]; + } else { + U_[i][j] = 0.0; + } + } + } + return U_; + } + + /** Return pivot permutation vector + @return piv + */ + + Array1D getPivot () { + return piv; + } + + + /** Compute determinant using LU factors. + @return determinant of A, or 0 if A is not square. + */ + + Real det () { + if (m != n) { + return Real(0); + } + Real d = Real(pivsign); + for (int j = 0; j < n; j++) { + d *= LU_[j][j]; + } + return d; + } + + /** Solve A*X = B + @param B A Matrix with as many rows as A and any number of columns. + @return X so that L*U*X = B(piv,:), if B is nonconformant, returns + 0x0 (null) array. + */ + + Array2D solve (const Array2D &B) + { + + /* Dimensions: A is mxn, X is nxk, B is mxk */ + + if (B.dim1() != m) { + return Array2D(0,0); + } + if (!isNonsingular()) { + return Array2D(0,0); + } + + // Copy right hand side with pivoting + int nx = B.dim2(); + + + Array2D X = permute_copy(B, piv, 0, nx-1); + + // Solve L*Y = B(piv,:) + for (int k = 0; k < n; k++) { + for (int i = k+1; i < n; i++) { + for (int j = 0; j < nx; j++) { + X[i][j] -= X[k][j]*LU_[i][k]; + } + } + } + // Solve U*X = Y; + for (int k = n-1; k >= 0; k--) { + for (int j = 0; j < nx; j++) { + X[k][j] /= LU_[k][k]; + } + for (int i = 0; i < k; i++) { + for (int j = 0; j < nx; j++) { + X[i][j] -= X[k][j]*LU_[i][k]; + } + } + } + return X; + } + + + /** Solve A*x = b, where x and b are vectors of length equal + to the number of rows in A. + + @param b a vector (Array1D> of length equal to the first dimension + of A. + @return x a vector (Array1D> so that L*U*x = b(piv), if B is nonconformant, + returns 0x0 (null) array. + */ + + Array1D solve (const Array1D &b) + { + + /* Dimensions: A is mxn, X is nxk, B is mxk */ + + if (b.dim1() != m) { + return Array1D(); + } + if (!isNonsingular()) { + return Array1D(); + } + + + Array1D x = permute_copy(b, piv); + + // Solve L*Y = B(piv) + for (int k = 0; k < n; k++) { + for (int i = k+1; i < n; i++) { + x[i] -= x[k]*LU_[i][k]; + } + } + + // Solve U*X = Y; + for (int k = n-1; k >= 0; k--) { + x[k] /= LU_[k][k]; + for (int i = 0; i < k; i++) + x[i] -= x[k]*LU_[i][k]; + } + + + return x; + } + +}; /* class LU */ + +} /* namespace JAMA */ + +#endif +/* JAMA_LU_H */ diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/jama_qr.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/jama_qr.h new file mode 100644 index 0000000..98c8679 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/jama_qr.h @@ -0,0 +1,327 @@ +#ifndef JAMA_QR_H +#define JAMA_QR_H + +#include "tnt_array1d.h" +#include "tnt_array2d.h" +#include "tnt_math_utils.h" + +namespace JAMA +{ + +/** +

    + Classical QR Decompisition: + for an m-by-n matrix A with m >= n, the QR decomposition is an m-by-n + orthogonal matrix Q and an n-by-n upper triangular matrix R so that + A = Q*R. +

    + The QR decompostion always exists, even if the matrix does not have + full rank, so the constructor will never fail. The primary use of the + QR decomposition is in the least squares solution of nonsquare systems + of simultaneous linear equations. This will fail if isFullRank() + returns 0 (false). + +

    + The Q and R factors can be retrived via the getQ() and getR() + methods. Furthermore, a solve() method is provided to find the + least squares solution of Ax=b using the QR factors. + +

    + (Adapted from JAMA, a Java Matrix Library, developed by jointly + by the Mathworks and NIST; see http://math.nist.gov/javanumerics/jama). +*/ + +template +class QR { + + + /** Array for internal storage of decomposition. + @serial internal array storage. + */ + + TNT::Array2D QR_; + + /** Row and column dimensions. + @serial column dimension. + @serial row dimension. + */ + int m, n; + + /** Array for internal storage of diagonal of R. + @serial diagonal of R. + */ + TNT::Array1D Rdiag; + + +public: + +/** + Create a QR factorization object for A. + + @param A rectangular (m>=n) matrix. +*/ + QR(const TNT::Array2D &A) /* constructor */ + { + QR_ = A.copy(); + m = A.dim1(); + n = A.dim2(); + Rdiag = TNT::Array1D(n); + int i=0, j=0, k=0; + + // Main loop. + for (k = 0; k < n; k++) { + // Compute 2-norm of k-th column without under/overflow. + Real nrm = 0; + for (i = k; i < m; i++) { + nrm = hypot(nrm,QR_[i][k]); + } + + if (nrm != 0.0) { + // Form k-th Householder vector. + if (QR_[k][k] < 0) { + nrm = -nrm; + } + for (i = k; i < m; i++) { + QR_[i][k] /= nrm; + } + QR_[k][k] += 1.0; + + // Apply transformation to remaining columns. + for (j = k+1; j < n; j++) { + Real s = 0.0; + for (i = k; i < m; i++) { + s += QR_[i][k]*QR_[i][j]; + } + s = -s/QR_[k][k]; + for (i = k; i < m; i++) { + QR_[i][j] += s*QR_[i][k]; + } + } + } + Rdiag[k] = -nrm; + } + } + + +/** + Flag to denote the matrix is of full rank. + + @return 1 if matrix is full rank, 0 otherwise. +*/ + int isFullRank() const + { + for (int j = 0; j < n; j++) + { + if (Rdiag[j] == 0) + return 0; + } + return 1; + } + + + + + /** + + Retreive the Householder vectors from QR factorization + @returns lower trapezoidal matrix whose columns define the reflections + */ + + TNT::Array2D getHouseholder (void) const + { + TNT::Array2D H(m,n); + + /* note: H is completely filled in by algorithm, so + initializaiton of H is not necessary. + */ + for (int i = 0; i < m; i++) + { + for (int j = 0; j < n; j++) + { + if (i >= j) { + H[i][j] = QR_[i][j]; + } else { + H[i][j] = 0.0; + } + } + } + return H; + } + + + + /** Return the upper triangular factor, R, of the QR factorization + @return R + */ + + TNT::Array2D getR() const + { + TNT::Array2D R(n,n); + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + if (i < j) { + R[i][j] = QR_[i][j]; + } else if (i == j) { + R[i][j] = Rdiag[i]; + } else { + R[i][j] = 0.0; + } + } + } + return R; + } + + + + + + /** + Generate and return the (economy-sized) orthogonal factor + @param Q the (ecnomy-sized) orthogonal factor (Q*R=A). + */ + + TNT::Array2D getQ() const + { + int i=0, j=0, k=0; + + TNT::Array2D Q(m,n); + for (k = n-1; k >= 0; k--) { + for (i = 0; i < m; i++) { + Q[i][k] = 0.0; + } + Q[k][k] = 1.0; + for (j = k; j < n; j++) { + if (QR_[k][k] != 0) { + Real s = 0.0; + for (i = k; i < m; i++) { + s += QR_[i][k]*Q[i][j]; + } + s = -s/QR_[k][k]; + for (i = k; i < m; i++) { + Q[i][j] += s*QR_[i][k]; + } + } + } + } + return Q; + } + + + /** Least squares solution of A*x = b + @param B m-length array (vector). + @return x n-length array (vector) that minimizes the two norm of Q*R*X-B. + If B is non-conformant, or if QR.isFullRank() is false, + the routine returns a null (0-length) vector. + */ + + TNT::Array1D solve(const TNT::Array1D &b) const + { + if (b.dim1() != m) /* arrays must be conformant */ + return TNT::Array1D(); + + if ( !isFullRank() ) /* matrix is rank deficient */ + { + return TNT::Array1D(); + } + + TNT::Array1D x = b.copy(); + int i=0, j=0, k=0; + + // Compute Y = transpose(Q)*b + for (k = 0; k < n; k++) + { + Real s = 0.0; + for (i = k; i < m; i++) + { + s += QR_[i][k]*x[i]; + } + s = -s/QR_[k][k]; + for (i = k; i < m; i++) + { + x[i] += s*QR_[i][k]; + } + } + // Solve R*X = Y; + for (k = n-1; k >= 0; k--) + { + x[k] /= Rdiag[k]; + for (i = 0; i < k; i++) { + x[i] -= x[k]*QR_[i][k]; + } + } + + + /* return n x nx portion of X */ + TNT::Array1D x_(n); + for (i=0; i solve(const TNT::Array2D &B) const + { + if (B.dim1() != m) /* arrays must be conformant */ + return TNT::Array2D(0,0); + + if ( !isFullRank() ) /* matrix is rank deficient */ + { + return TNT::Array2D(0,0); + } + + int nx = B.dim2(); + TNT::Array2D X = B.copy(); + int i=0, j=0, k=0; + + // Compute Y = transpose(Q)*B + for (k = 0; k < n; k++) { + for (j = 0; j < nx; j++) { + Real s = 0.0; + for (i = k; i < m; i++) { + s += QR_[i][k]*X[i][j]; + } + s = -s/QR_[k][k]; + for (i = k; i < m; i++) { + X[i][j] += s*QR_[i][k]; + } + } + } + // Solve R*X = Y; + for (k = n-1; k >= 0; k--) { + for (j = 0; j < nx; j++) { + X[k][j] /= Rdiag[k]; + } + for (i = 0; i < k; i++) { + for (j = 0; j < nx; j++) { + X[i][j] -= X[k][j]*QR_[i][k]; + } + } + } + + + /* return n x nx portion of X */ + TNT::Array2D X_(n,nx); + for (i=0; i + For an m-by-n matrix A with m >= n, the singular value decomposition is + an m-by-n orthogonal matrix U, an n-by-n diagonal matrix S, and + an n-by-n orthogonal matrix V so that A = U*S*V'. +

    + The singular values, sigma[k] = S[k][k], are ordered so that + sigma[0] >= sigma[1] >= ... >= sigma[n-1]. +

    + The singular value decompostion always exists, so the constructor will + never fail. The matrix condition number and the effective numerical + rank can be computed from this decomposition. + +

    + (Adapted from JAMA, a Java Matrix Library, developed by jointly + by the Mathworks and NIST; see http://math.nist.gov/javanumerics/jama). + */ +template +class SVD +{ + + + Array2D U, V; + Array1D s; + int m, n; + + public: + + + SVD (const Array2D &Arg) { + + + m = Arg.dim1(); + n = Arg.dim2(); + int nu = TNT::min(m,n); + s = Array1D(TNT::min(m+1,n)); + U = Array2D(m, nu, Real(0)); + V = Array2D(n,n); + Array1D e(n); + Array1D work(m); + Array2D A(Arg.copy()); + int wantu = 1; /* boolean */ + int wantv = 1; /* boolean */ + int i=0, j=0, k=0; + + // Reduce A to bidiagonal form, storing the diagonal elements + // in s and the super-diagonal elements in e. + + int nct = TNT::min(m-1,n); + int nrt = TNT::max(0,TNT::min(n-2,m)); + for (k = 0; k < TNT::max(nct,nrt); k++) { + if (k < nct) { + + // Compute the transformation for the k-th column and + // place the k-th diagonal in s[k]. + // Compute 2-norm of k-th column without under/overflow. + s[k] = 0; + for (i = k; i < m; i++) { + s[k] = TNT::hypot(s[k],A[i][k]); + } + if (s[k] != 0.0) { + if (A[k][k] < 0.0) { + s[k] = -s[k]; + } + for (i = k; i < m; i++) { + A[i][k] /= s[k]; + } + A[k][k] += 1.0; + } + s[k] = -s[k]; + } + for (j = k+1; j < n; j++) { + if ((k < nct) && (s[k] != 0.0)) { + + // Apply the transformation. + + double t = 0; + for (i = k; i < m; i++) { + t += A[i][k]*A[i][j]; + } + t = -t/A[k][k]; + for (i = k; i < m; i++) { + A[i][j] += t*A[i][k]; + } + } + + // Place the k-th row of A into e for the + // subsequent calculation of the row transformation. + + e[j] = A[k][j]; + } + if (wantu & (k < nct)) { + + // Place the transformation in U for subsequent back + // multiplication. + + for (i = k; i < m; i++) { + U[i][k] = A[i][k]; + } + } + if (k < nrt) { + + // Compute the k-th row transformation and place the + // k-th super-diagonal in e[k]. + // Compute 2-norm without under/overflow. + e[k] = 0; + for (i = k+1; i < n; i++) { + e[k] = TNT::hypot(e[k],e[i]); + } + if (e[k] != 0.0) { + if (e[k+1] < 0.0) { + e[k] = -e[k]; + } + for (i = k+1; i < n; i++) { + e[i] /= e[k]; + } + e[k+1] += 1.0; + } + e[k] = -e[k]; + if ((k+1 < m) & (e[k] != 0.0)) { + + // Apply the transformation. + + for (i = k+1; i < m; i++) { + work[i] = 0.0; + } + for (j = k+1; j < n; j++) { + for (i = k+1; i < m; i++) { + work[i] += e[j]*A[i][j]; + } + } + for (j = k+1; j < n; j++) { + double t = -e[j]/e[k+1]; + for (i = k+1; i < m; i++) { + A[i][j] += t*work[i]; + } + } + } + if (wantv) { + + // Place the transformation in V for subsequent + // back multiplication. + + for (i = k+1; i < n; i++) { + V[i][k] = e[i]; + } + } + } + } + + // Set up the final bidiagonal matrix or order p. + + int p = TNT::min(n,m+1); + if (nct < n) { + s[nct] = A[nct][nct]; + } + if (m < p) { + s[p-1] = 0.0; + } + if (nrt+1 < p) { + e[nrt] = A[nrt][p-1]; + } + e[p-1] = 0.0; + + // If required, generate U. + + if (wantu) { + for (j = nct; j < nu; j++) { + for (i = 0; i < m; i++) { + U[i][j] = 0.0; + } + U[j][j] = 1.0; + } + for (k = nct-1; k >= 0; k--) { + if (s[k] != 0.0) { + for (j = k+1; j < nu; j++) { + double t = 0; + for (i = k; i < m; i++) { + t += U[i][k]*U[i][j]; + } + t = -t/U[k][k]; + for (i = k; i < m; i++) { + U[i][j] += t*U[i][k]; + } + } + for (i = k; i < m; i++ ) { + U[i][k] = -U[i][k]; + } + U[k][k] = 1.0 + U[k][k]; + for (i = 0; i < k-1; i++) { + U[i][k] = 0.0; + } + } else { + for (i = 0; i < m; i++) { + U[i][k] = 0.0; + } + U[k][k] = 1.0; + } + } + } + + // If required, generate V. + + if (wantv) { + for (k = n-1; k >= 0; k--) { + if ((k < nrt) & (e[k] != 0.0)) { + for (j = k+1; j < nu; j++) { + double t = 0; + for (i = k+1; i < n; i++) { + t += V[i][k]*V[i][j]; + } + t = -t/V[k+1][k]; + for (i = k+1; i < n; i++) { + V[i][j] += t*V[i][k]; + } + } + } + for (i = 0; i < n; i++) { + V[i][k] = 0.0; + } + V[k][k] = 1.0; + } + } + + // Main iteration loop for the singular values. + + int pp = p-1; + int iter = 0; + double eps = pow(2.0,-52.0); + while (p > 0) { + int k=0; + int kase=0; + + // Here is where a test for too many iterations would go. + + // This section of the program inspects for + // negligible elements in the s and e arrays. On + // completion the variables kase and k are set as follows. + + // kase = 1 if s(p) and e[k-1] are negligible and k

    = -1; k--) { + if (k == -1) { + break; + } + if (abs(e[k]) <= eps*(abs(s[k]) + abs(s[k+1]))) { + e[k] = 0.0; + break; + } + } + if (k == p-2) { + kase = 4; + } else { + int ks; + for (ks = p-1; ks >= k; ks--) { + if (ks == k) { + break; + } + double t = (ks != p ? abs(e[ks]) : 0.) + + (ks != k+1 ? abs(e[ks-1]) : 0.); + if (abs(s[ks]) <= eps*t) { + s[ks] = 0.0; + break; + } + } + if (ks == k) { + kase = 3; + } else if (ks == p-1) { + kase = 1; + } else { + kase = 2; + k = ks; + } + } + k++; + + // Perform the task indicated by kase. + + switch (kase) { + + // Deflate negligible s(p). + + case 1: { + double f = e[p-2]; + e[p-2] = 0.0; + for (j = p-2; j >= k; j--) { + double t = hypot(s[j],f); + double cs = s[j]/t; + double sn = f/t; + s[j] = t; + if (j != k) { + f = -sn*e[j-1]; + e[j-1] = cs*e[j-1]; + } + if (wantv) { + for (i = 0; i < n; i++) { + t = cs*V[i][j] + sn*V[i][p-1]; + V[i][p-1] = -sn*V[i][j] + cs*V[i][p-1]; + V[i][j] = t; + } + } + } + } + break; + + // Split at negligible s(k). + + case 2: { + double f = e[k-1]; + e[k-1] = 0.0; + for (j = k; j < p; j++) { + double t = hypot(s[j],f); + double cs = s[j]/t; + double sn = f/t; + s[j] = t; + f = -sn*e[j]; + e[j] = cs*e[j]; + if (wantu) { + for (i = 0; i < m; i++) { + t = cs*U[i][j] + sn*U[i][k-1]; + U[i][k-1] = -sn*U[i][j] + cs*U[i][k-1]; + U[i][j] = t; + } + } + } + } + break; + + // Perform one qr step. + + case 3: { + + // Calculate the shift. + + double scale = TNT::max(TNT::max(TNT::max(TNT::max( + TNT::abs(s[p-1]),TNT::abs(s[p-2])),TNT::abs(e[p-2])), + TNT::abs(s[k])),TNT::abs(e[k])); + double sp = s[p-1]/scale; + double spm1 = s[p-2]/scale; + double epm1 = e[p-2]/scale; + double sk = s[k]/scale; + double ek = e[k]/scale; + double b = ((spm1 + sp)*(spm1 - sp) + epm1*epm1)/2.0; + double c = (sp*epm1)*(sp*epm1); + double shift = 0.0; + if ((b != 0.0) | (c != 0.0)) { + shift = sqrt(b*b + c); + if (b < 0.0) { + shift = -shift; + } + shift = c/(b + shift); + } + double f = (sk + sp)*(sk - sp) + shift; + double g = sk*ek; + + // Chase zeros. + + for (j = k; j < p-1; j++) { + double t = hypot(f,g); + double cs = f/t; + double sn = g/t; + if (j != k) { + e[j-1] = t; + } + f = cs*s[j] + sn*e[j]; + e[j] = cs*e[j] - sn*s[j]; + g = sn*s[j+1]; + s[j+1] = cs*s[j+1]; + if (wantv) { + for (i = 0; i < n; i++) { + t = cs*V[i][j] + sn*V[i][j+1]; + V[i][j+1] = -sn*V[i][j] + cs*V[i][j+1]; + V[i][j] = t; + } + } + t = hypot(f,g); + cs = f/t; + sn = g/t; + s[j] = t; + f = cs*e[j] + sn*s[j+1]; + s[j+1] = -sn*e[j] + cs*s[j+1]; + g = sn*e[j+1]; + e[j+1] = cs*e[j+1]; + if (wantu && (j < m-1)) { + for (i = 0; i < m; i++) { + t = cs*U[i][j] + sn*U[i][j+1]; + U[i][j+1] = -sn*U[i][j] + cs*U[i][j+1]; + U[i][j] = t; + } + } + } + e[p-2] = f; + iter = iter + 1; + } + break; + + // Convergence. + + case 4: { + + // Make the singular values positive. + + if (s[k] <= 0.0) { + s[k] = (s[k] < 0.0 ? -s[k] : 0.0); + if (wantv) { + for (i = 0; i <= pp; i++) { + V[i][k] = -V[i][k]; + } + } + } + + // Order the singular values. + + while (k < pp) { + if (s[k] >= s[k+1]) { + break; + } + double t = s[k]; + s[k] = s[k+1]; + s[k+1] = t; + if (wantv && (k < n-1)) { + for (i = 0; i < n; i++) { + t = V[i][k+1]; V[i][k+1] = V[i][k]; V[i][k] = t; + } + } + if (wantu && (k < m-1)) { + for (i = 0; i < m; i++) { + t = U[i][k+1]; U[i][k+1] = U[i][k]; U[i][k] = t; + } + } + k++; + } + iter = 0; + p--; + } + break; + } + } + } + + + void getU (Array2D &A) + { + int minm = TNT::min(m+1,n); + + A = Array2D(m, minm); + + for (int i=0; i &A) + { + A = V; + } + + /** Return the one-dimensional array of singular values */ + + void getSingularValues (Array1D &x) + { + x = s; + } + + /** Return the diagonal matrix of singular values + @return S + */ + + void getS (Array2D &A) { + A = Array2D(n,n); + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + A[i][j] = 0.0; + } + A[i][i] = s[i]; + } + } + + /** Two norm (max(S)) */ + + double norm2 () { + return s[0]; + } + + /** Two norm of condition number (max(S)/min(S)) */ + + double cond () { + return s[0]/s[TNT::min(m,n)-1]; + } + + /** Effective numerical matrix rank + @return Number of nonnegligible singular values. + */ + + int rank () + { + double eps = pow(2.0,-52.0); + double tol = TNT::max(m,n)*s[0]*eps; + int r = 0; + for (int i = 0; i < s.dim(); i++) { + if (s[i] > tol) { + r++; + } + } + return r; + } +}; + +} +#endif +// JAMA_SVD_H diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt.h new file mode 100644 index 0000000..911f3b9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt.h @@ -0,0 +1,65 @@ +/* +* +* Template Numerical Toolkit (TNT): Linear Algebra Module +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + +#ifndef TNT_H +#define TNT_H + + + +//--------------------------------------------------------------------- +// Define this macro if you want TNT to track some of the out-of-bounds +// indexing. This can encur a small run-time overhead, but is recommended +// while developing code. It can be turned off for production runs. +// +// #define TNT_BOUNDS_CHECK +//--------------------------------------------------------------------- +// + +//#define TNT_BOUNDS_CHECK + + +#include "tnt_version.h" + +#include "tnt_array1d.h" +#include "tnt_array2d.h" +#include "tnt_array3d.h" +#include "tnt_array1d_utils.h" +#include "tnt_array2d_utils.h" +#include "tnt_array3d_utils.h" + +#include "tnt_fortran_array1d.h" +#include "tnt_fortran_array2d.h" +#include "tnt_fortran_array3d.h" +#include "tnt_fortran_array1d_utils.h" +#include "tnt_fortran_array2d_utils.h" +#include "tnt_fortran_array3d_utils.h" + +#include "tnt_sparse_matrix_csr.h" + +#include "tnt_stopwatch.h" +#include "tnt_math_utils.h" + +#include "tnt_subscript.h" +#include "tnt_vec.h" +#include "tnt_cmat.h" + + +#endif +// TNT_H diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array1d.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array1d.h new file mode 100644 index 0000000..bf64a8f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array1d.h @@ -0,0 +1,418 @@ +/* +* +* Template Numerical Toolkit (TNT) +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + + +#ifndef TNT_ARRAY1D_H +#define TNT_ARRAY1D_H + +#include +#include + +#ifdef TNT_BOUNDS_CHECK +#include +#endif + +namespace TNT +{ + +/** + Tempplated one-dimensional, numerical array which + looks like a conventional C array. + Elements are accessed via the familiar A[i] notation. + +

    + Array assignment is by reference (i.e. shallow assignment). + That is, B=A implies that the A and B point to the + same array, so modifications to the elements of A + will be reflected in B. If an independent copy + is required, then B = A.copy() can be used. Note + that this facilitates returning arrays from functions + without relying on compiler optimizations to eliminate + extensive data copying. + +

    + The indexing and layout of this array object makes + it compatible with C and C++ algorithms that utilize + the familiar C[i] notation. This includes numerous + textbooks, such as Numercial Recipes, and various + public domain codes. + +

    + This class employs its own garbage collection via + the use of reference counts. That is, whenever + an internal array storage no longer has any references + to it, it is destoryed. +*/ +template +class Array1D +{ + + + private: + T* v_; + int n_; + int *ref_count_; + + void initialize_(int n); + void copy_(T* p, const T* q, int len) const; + void set_(const T& val); + void destroy_(); + inline const T* begin_() const; + inline T* begin_(); + + public: + + typedef T value_type; + + Array1D(); + explicit Array1D(int n); + Array1D(int n, T *a); + Array1D(int n, const T &a); + inline Array1D(const Array1D &A); + inline Array1D & operator=(const T &a); + inline Array1D & operator=(const Array1D &A); + inline Array1D & ref(const Array1D &A); + Array1D copy() const; + Array1D & inject(const Array1D & A); + inline T& operator[](int i); + inline const T& operator[](int i) const; + inline int dim1() const; + inline int dim() const; + inline int ref_count() const; + ~Array1D(); + + +}; + +/** + Null constructor. Creates a 0-length (NULL) array. + (Reference count is also zero.) +*/ + +template +Array1D::Array1D() : v_(0), n_(0), ref_count_(0) +{ + ref_count_ = new int; + *ref_count_ = 1; +} + +/** + Copy constructor. Array data is NOT copied, but shared. + Thus, in Array1D B(A), subsequent changes to A will + be reflected in B. For an indepent copy of A, use + Array1D B(A.copy()), or B = A.copy(), instead. +*/ +template +Array1D::Array1D(const Array1D &A) : v_(A.v_), + n_(A.n_), ref_count_(A.ref_count_) +{ + (*ref_count_)++; +} + + + +/** + Create a new array (vector) of length n, + WIHOUT initializing array elements. + To create an initialized array of constants, see Array1D(n,value). + +

    + This version avoids the O(n) initialization overhead and + is used just before manual assignment. + + @param n the dimension (length) of the new matrix. +*/ +template +Array1D::Array1D(int n) : v_(0), n_(n), ref_count_(0) +{ + initialize_(n); + ref_count_ = new int; + *ref_count_ = 1; +} + + + +/** + Create a new array of length n, initializing array elements to + constant specified by argument. Most often used to + create an array of zeros, as in A(n, 0.0). + + @param n the dimension (length) of the new matrix. + @param val the constant value to set all elements of the new array to. +*/ +template +Array1D::Array1D(int n, const T &val) : v_(0), n_(n) , + ref_count_(0) +{ + initialize_(n); + set_(val); + ref_count_ = new int; + *ref_count_ = 1; + +} + +/** + Create a new n-length array, as a view of an existing one-dimensional + C array. (Note that the storage for this pre-existing array will + never be destroyed by the Aray1DRef class.) + + @param n the dimension (length) of the new matrix. + @param a the one dimensional C array to use as data storage for + the array. +*/ +template +Array1D::Array1D(int n, T *a) : v_(a), n_(n) , + ref_count_(0) +{ + ref_count_ = new int; + *ref_count_ = 2; /* this avoid destorying original data. */ + +} + +/** + A[i] indexes the ith element of A. The first element is + A[0]. If TNT_BOUNDS_CHECK is defined, then the index is + checked that it falls within the array bounds. +*/ +template +inline T& Array1D::operator[](int i) +{ +#ifdef TNT_BOUNDS_CHECK + assert(i>= 0); + assert(i < n_); +#endif + return v_[i]; +} + +/** + A[i] indexes the ith element of A. The first element is + A[0]. If TNT_BOUNDS_CHECK is defined, then the index is + checked that it fall within the array bounds. +*/ +template +inline const T& Array1D::operator[](int i) const +{ +#ifdef TNT_BOUNDS_CHECK + assert(i>= 0); + assert(i < n_); +#endif + return v_[i]; +} + +/** + Assign all elemnts of A to a constant scalar. +*/ +template +Array1D & Array1D::operator=(const T &a) +{ + set_(a); + return *this; +} +/** + Create a new of existing matrix. Used in B = A.copy() + or in the construction of B, e.g. Array1D B(A.copy()), + to create a new array that does not share data. + +*/ +template +Array1D Array1D::copy() const +{ + Array1D A( n_); + copy_(A.begin_(), begin_(), n_); + + return A; +} + + +/** + Copy the elements to from one array to another, in place. + That is B.inject(A), both A and B must conform (i.e. have + identical row and column dimensions). + + This differs from B = A.copy() in that references to B + before this assignment are also affected. That is, if + we have + 

    +	Array1D A(n);
+	Array1D C(n);
+	Array1D B(C);        // elements of B and C are shared. 
+
+
    + then B.inject(A) affects both and C, while B=A.copy() creates + a new array B which shares no data with C or A. + + @param A the array from which elements will be copied + @return an instance of the modifed array. That is, in B.inject(A), + it returns B. If A and B are not conformat, no modifications to + B are made. + +*/ +template +Array1D & Array1D::inject(const Array1D &A) +{ + if (A.n_ == n_) + copy_(begin_(), A.begin_(), n_); + + return *this; +} + + + + + +/** + Create a reference (shallow assignment) to another existing array. + In B.ref(A), B and A shared the same data and subsequent changes + to the array elements of one will be reflected in the other. +

    + This is what operator= calls, and B=A and B.ref(A) are equivalent + operations. + + @return The new referenced array: in B.ref(A), it returns B. +*/ +template +Array1D & Array1D::ref(const Array1D &A) +{ + if (this != &A) + { + (*ref_count_) --; + if ( *ref_count_ < 1) + { + destroy_(); + } + + n_ = A.n_; + v_ = A.v_; + ref_count_ = A.ref_count_; + + (*ref_count_) ++ ; + + } + return *this; +} + +/** + B = A is shorthand notation for B.ref(A). +*/ +template +Array1D & Array1D::operator=(const Array1D &A) +{ + return ref(A); +} + +/** + @return the dimension (number of elements) of the array. + This is equivalent to dim() and dim1(). +*/ +template +inline int Array1D::dim1() const { return n_; } + +/** + @return the dimension (number of elements) of the array. + This is equivalent to dim1() and dim1(). +*/ +template +inline int Array1D::dim() const { return n_; } + + + +/** + @return the number of arrays that share the same storage area + as this one. (Must be at least one.) +*/ +template +inline int Array1D::ref_count() const +{ + return *ref_count_; +} + +template +Array1D::~Array1D() +{ + (*ref_count_) --; + + if (*ref_count_ < 1) + destroy_(); +} + +/* private internal functions */ + +template +void Array1D::initialize_(int n) +{ + + + v_ = new T[n]; + n_ = n; +} + +template +void Array1D::set_(const T& a) +{ + T *begin = &(v_[0]); + T *end = begin+ n_; + + for (T* p=begin; p +void Array1D::copy_(T* p, const T* q, int len) const +{ + T *end = p + len; + while (p +void Array1D::destroy_() +{ + + if (v_ != 0) + { + delete[] (v_); + } + + if (ref_count_ != 0) + delete ref_count_; +} + +/** + @returns location of first element, i.e. A[0] (mutable). +*/ +template +const T* Array1D::begin_() const { return &(v_[0]); } + +/** + @returns location of first element, i.e. A[0] (mutable). +*/ +template +T* Array1D::begin_() { return &(v_[0]); } + + + + +} /* namespace TNT */ + +#endif +/* TNT_ARRAY1D_H */ + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array1d_utils.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array1d_utils.h new file mode 100644 index 0000000..474c4f1 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array1d_utils.h @@ -0,0 +1,67 @@ + +#ifndef TNT_ARRAY1D_UTILS_H +#define TNT_ARRAY1D_UTILS_H + +#include +#include + +namespace TNT +{ + + +/** + Write an array to a character outstream. Output format is one that can + be read back in via the in-stream operator: one integer + denoting the array dimension (n), followed by n elements, + one per line. + +*/ +template +std::ostream& operator<<(std::ostream &s, const Array1D &A) +{ + int N=A.dim1(); + s << "GW_VectorND, size " << N << endl; + s << "|"; + for (int j=0; j + Note: the array being read into references new memory + storage. If the intent is to fill an existing conformant + array, use cin >> B; A.inject(B) ); + instead or read the elements in one-a-time by hand. + + @param s the charater to read from (typically std::in) + @param A the array to read into. +*/ +template +std::istream& operator>>(std::istream &s, Array1D &A) +{ + int N; + s >> N; + + Array1D B(N); + for (int i=0; i> B[i]; + A = B; + return s; +} + + + +} // namespace TNT + +#endif diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array2d.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array2d.h new file mode 100644 index 0000000..a0a4e51 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array2d.h @@ -0,0 +1,435 @@ +/* +* +* Template Numerical Toolkit (TNT): Two-dimensional numerical array +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + + +#ifndef TNT_ARRAY2D_H +#define TNT_ARRAY2D_H + +#include +#include +#ifdef TNT_BOUNDS_CHECK +#include +#endif + +namespace TNT +{ + +/** + Tempplated two-dimensional, numerical array which + looks like a conventional C multiarray. + Storage corresponds to C (row-major) ordering. + Elements are accessed via A[i][j] notation. + +

    + Array assignment is by reference (i.e. shallow assignment). + That is, B=A implies that the A and B point to the + same array, so modifications to the elements of A + will be reflected in B. If an independent copy + is required, then B = A.copy() can be used. Note + that this facilitates returning arrays from functions + without relying on compiler optimizations to eliminate + extensive data copying. + +

    + The indexing and layout of this array object makes + it compatible with C and C++ algorithms that utilize + the familiar C[i][j] notation. This includes numerous + textbooks, such as Numercial Recipes, and various + public domain codes. + +

    + This class employs its own garbage collection via + the use of reference counts. That is, whenever + an internal array storage no longer has any references + to it, it is destoryed. +*/ +template +class Array2D +{ + + + private: + T** v_; + int m_; + int n_; + int *ref_count_; + + void initialize_(int m, int n); + void copy_(T* p, const T* q, int len) const; + void set_(const T& val); + void destroy_(); + inline const T* begin_() const; + inline T* begin_(); + + public: + + typedef T value_type; + + Array2D(); + Array2D(int m, int n); + Array2D(int m, int n, T *a); + Array2D(int m, int n, const T &a); + inline Array2D(const Array2D &A); + inline Array2D & operator=(const T &a); + inline Array2D & operator=(const Array2D &A); + inline Array2D & ref(const Array2D &A); + Array2D copy() const; + Array2D & inject(const Array2D & A); + inline T* operator[](int i); + inline const T* operator[](int i) const; + inline int dim1() const; + inline int dim2() const; + inline int ref_count() const; + ~Array2D(); + + +}; + + +/** + Copy constructor. Array data is NOT copied, but shared. + Thus, in Array2D B(A), subsequent changes to A will + be reflected in B. For an indepent copy of A, use + Array2D B(A.copy()), or B = A.copy(), instead. +*/ +template +Array2D::Array2D(const Array2D &A) : v_(A.v_), m_(A.m_), + n_(A.n_), ref_count_(A.ref_count_) +{ + (*ref_count_)++; +} + + + +/** + Create a new (m x n) array, WIHOUT initializing array elements. + To create an initialized array of constants, see Array2D(m,n,value). + +

    + This version avoids the O(m*n) initialization overhead and + is used just before manual assignment. + + @param m the first (row) dimension of the new matrix. + @param n the second (column) dimension of the new matrix. +*/ +template +Array2D::Array2D(int m, int n) : v_(0), m_(m), n_(n), ref_count_(0) +{ + initialize_(m,n); + ref_count_ = new int; + *ref_count_ = 1; +} + + + +/** + Create a new (m x n) array, initializing array elements to + constant specified by argument. Most often used to + create an array of zeros, as in A(m, n, 0.0). + + @param m the first (row) dimension of the new matrix. + @param n the second (column) dimension of the new matrix. + @param val the constant value to set all elements of the new array to. +*/ +template +Array2D::Array2D(int m, int n, const T &val) : v_(0), m_(m), n_(n) , + ref_count_(0) +{ + initialize_(m,n); + set_(val); + ref_count_ = new int; + *ref_count_ = 1; + +} + +/** + Create a new (m x n) array, as a view of an existing one-dimensional + array stored in C order, i.e. right-most dimension varying fastest. + (Often referred to as "row-major" ordering.) + Note that the storage for this pre-existing array will + never be garbage collected by the Array2D class. + + @param m the first (row) dimension of the new matrix. + @param n the second (column) dimension of the new matrix. + @param a the one dimensional C array to use as data storage for + the array. +*/ +template +Array2D::Array2D(int m, int n, T *a) : v_(0), m_(m), n_(n) , + ref_count_(0) +{ + T* p = a; + v_ = new T*[m]; + for (int i=0; i +inline T* Array2D::operator[](int i) +{ +#ifdef TNT_BOUNDS_CHECK + assert(i >= 0); + assert(i < m_); +#endif + +return v_[i]; + +} + +template +inline const T* Array2D::operator[](int i) const { return v_[i]; } + +/** + Assign all elemnts of A to a constant scalar. +*/ +template +Array2D & Array2D::operator=(const T &a) +{ + set_(a); + return *this; +} +/** + Create a new of existing matrix. Used in B = A.copy() + or in the construction of B, e.g. Array2D B(A.copy()), + to create a new array that does not share data. + +*/ +template +Array2D Array2D::copy() const +{ + Array2D A(m_, n_); + copy_(A.begin_(), begin_(), m_*n_); + + return A; +} + + +/** + Copy the elements to from one array to another, in place. + That is B.inject(A), both A and B must conform (i.e. have + identical row and column dimensions). + + This differs from B = A.copy() in that references to B + before this assignment are also affected. That is, if + we have + 

    +	Array2D A(m,n);
+	Array2D C(m,n);
+	Array2D B(C);        // elements of B and C are shared. 
+
+
    + then B.inject(A) affects both and C, while B=A.copy() creates + a new array B which shares no data with C or A. + + @param A the array from elements will be copied + @return an instance of the modifed array. That is, in B.inject(A), + it returns B. If A and B are not conformat, no modifications to + B are made. + +*/ +template +Array2D & Array2D::inject(const Array2D &A) +{ + if (A.m_ == m_ && A.n_ == n_) + copy_(begin_(), A.begin_(), m_*n_); + + return *this; +} + + + + + +/** + Create a reference (shallow assignment) to another existing array. + In B.ref(A), B and A shared the same data and subsequent changes + to the array elements of one will be reflected in the other. +

    + This is what operator= calls, and B=A and B.ref(A) are equivalent + operations. + + @return The new referenced array: in B.ref(A), it returns B. +*/ +template +Array2D & Array2D::ref(const Array2D &A) +{ + if (this != &A) + { + (*ref_count_) --; + if ( *ref_count_ < 1 ) + { + destroy_(); + } + + m_ = A.m_; + n_ = A.n_; + v_ = A.v_; + ref_count_ = A.ref_count_; + + (*ref_count_) ++ ; + + } + return *this; +} + +/** + B = A is shorthand notation for B.ref(A). +*/ +template +Array2D & Array2D::operator=(const Array2D &A) +{ + return ref(A); +} + +/** + @return the size of the first dimension of the array, i.e. + the number of rows. +*/ +template +inline int Array2D::dim1() const { return m_; } + +/** + @return the size of the second dimension of the array, i.e. + the number of columns. +*/ +template +inline int Array2D::dim2() const { return n_; } + + +/** + @return the number of arrays that share the same storage area + as this one. (Must be at least one.) +*/ +template +inline int Array2D::ref_count() const +{ + return *ref_count_; +} + +template +Array2D::~Array2D() +{ + (*ref_count_) --; + + if (*ref_count_ < 1) + destroy_(); +} + +/* private internal functions */ + +template +void Array2D::initialize_(int m, int n) +{ + + + T* p = new T[m*n]; + v_ = new T*[m]; + for (int i=0; i +void Array2D::set_(const T& a) +{ + T *begin = &v_[0][0]; + T *end = begin+ m_*n_; + + for (T* p=begin; p +void Array2D::copy_(T* p, const T* q, int len) const +{ + T *end = p + len; + while (p +void Array2D::destroy_() +{ + + if (v_ != 0) + { + delete[] (v_[0]); + delete[] (v_); + } + + if (ref_count_ != 0) + delete ref_count_; +} + +/** + @returns location of first element, i.e. A[0][0] (mutable). +*/ +template +const T* Array2D::begin_() const { return &(v_[0][0]); } + +/** + @returns location of first element, i.e. A[0][0] (mutable). +*/ +template +T* Array2D::begin_() { return &(v_[0][0]); } + +/** + Create a null (0x0) array. +*/ +template +Array2D::Array2D() : v_(0), m_(0), n_(0) +{ + ref_count_ = new int; + *ref_count_ = 1; +} + + + + + +} /* namespace TNT */ + +#endif +/* TNT_ARRAY2D_H */ + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array2d_utils.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array2d_utils.h new file mode 100644 index 0000000..07b5234 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array2d_utils.h @@ -0,0 +1,122 @@ + + +#ifndef TNT_ARRAY2D_UTILS_H +#define TNT_ARRAY2D_UTILS_H + +#include +#include + +namespace TNT +{ + + +/** + Write an array to a character outstream. Output format is one that can + be read back in via the in-stream operator: two integers + denoting the array dimensions (m x n), followed by m + lines of n elements. + +*/ +template +std::ostream& operator<<(std::ostream &s, const Array2D &A) +{ + int M=A.dim1(); + int N=A.dim2(); + + s << M << " " << N << "\n"; + + for (int i=0; i + Note: the array being read into references new memory + storage. If the intent is to fill an existing conformant + array, use cin >> B; A.inject(B) ); + instead or read the elements in one-a-time by hand. + + @param s the charater to read from (typically std::in) + @param A the array to read into. +*/ +template +std::istream& operator>>(std::istream &s, Array2D &A) +{ + + int M, N; + + s >> M >> N; + + Array2D B(M,N); + + for (int i=0; i> B[i][j]; + } + + A = B; + return s; +} + + +/** + Matrix Multiply: compute C = A*B, where C[i][j] + is the dot-product of row i of A and column j of B. + + + @param A an (m x n) array + @param B an (n x k) array + @return the (m x k) array A*B, or a null array (0x0) + if the matrices are non-conformant (i.e. the number + of columns of A are different than the number of rows of B.) + + +*/ +template +Array2D matmult(const Array2D &A, const Array2D &B) +{ + if (A.dim2() != B.dim1()) + return Array2D(); + + int M = A.dim1(); + int N = A.dim2(); + int K = B.dim2(); + + Array2D C(M,K); + + for (int i=0; i +#include +#ifdef TNT_BOUNDS_CHECK +#include +#endif + +namespace TNT +{ + +/** + Tempplated three-dimensional, numerical array which + looks like a conventional C multiarray. + Storage corresponds to conventional C ordering. + That is the right-most dimension has contiguous + elements. Indexing is via the A[i][j][k] notation. + +

    + Array assignment is by reference (i.e. shallow assignment). + That is, B=A implies that the A and B point to the + same array, so modifications to the elements of A + will be reflected in B. If an independent copy + is required, then B = A.copy() can be used. Note + that this facilitates returning arrays from functions + without relying on compiler optimizations to eliminate + extensive data copying. + +

    + The indexing and layout of this array object makes + it compatible with C and C++ algorithms that utilize + the familiar C[i][j][k] notation. This includes numerous + textbooks, such as Numercial Recipes, and various + public domain codes. + +

    + This class employs its own garbage collection via + the use of reference counts. That is, whenever + an internal array storage no longer has any references + to it, it is destoryed. +*/ +template +class Array3D +{ + + + private: + T*** v_; + int m_; + int n_; + int k_; + int *ref_count_; + + void initialize_(T* data, int m, int n, int k); + void copy_(T* p, const T* q, int len) const; + void set_(const T& val); + void destroy_(); + inline const T* begin_() const; + inline T* begin_(); + + public: + + typedef T value_type; + + Array3D(); + Array3D(int m, int n, int k); + Array3D(int m, int n, int k, T *a); + Array3D(int m, int n, int k, const T &a); + inline Array3D(const Array3D &A); + inline Array3D & operator=(const T &a); + inline Array3D & operator=(const Array3D &A); + inline Array3D & ref(const Array3D &A); + Array3D copy() const; + Array3D & inject(const Array3D & A); + inline T** operator[](int i); + inline const T* const * operator[](int i) const; + inline int dim1() const; + inline int dim2() const; + inline int dim3() const; + inline int ref_count() const; + ~Array3D(); + + +}; + + +/** + Copy constructor. Array data is NOT copied, but shared. + Thus, in Array3D B(A), subsequent changes to A will + be reflected in B. For an indepent copy of A, use + Array3D B(A.copy()), or B = A.copy(), instead. +*/ +template +Array3D::Array3D(const Array3D &A) : v_(A.v_), m_(A.m_), + n_(A.n_), k_(A.k_), ref_count_(A.ref_count_) +{ + (*ref_count_)++; +} + + + +/** + Create a new (m x n x k) array, WIHOUT initializing array elements. + To create an initialized array of constants, see Array3D(m,n,k, value). + +

    + This version avoids the O(m*n*k) initialization overhead and + is used just before manual assignment. + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. + @param k the third dimension of the new matrix. +*/ +template +Array3D::Array3D(int m, int n, int k) : v_(0), m_(m), n_(n), k_(k), ref_count_(0) +{ + initialize_(new T[m*n*k], m,n,k); + ref_count_ = new int; + *ref_count_ = 1; +} + + + +/** + Create a new (m x n x k) array, initializing array elements to + constant specified by argument. Most often used to + create an array of zeros, as in A(m, n, k, 0.0). + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. + @param k the third dimension of the new matrix. + @param val the constant value to set all elements of the new array to. +*/ +template +Array3D::Array3D(int m, int n, int k, const T &val) : v_(0), m_(m), n_(n) , + k_(k), ref_count_(0) +{ + initialize_(new T[m*n*k], m,n,k); + set_(val); + ref_count_ = new int; + *ref_count_ = 1; + +} + +/** + + Create a new (m x n x k) array, as a view of an existing one-dimensional + array stored in C order, i.e. right-most dimension varying fastest. + (Often referred to as "row-major" ordering.) + Note that the storage for this pre-existing array will + never be garbage collected by the Array3D class. + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. + @param k the third dimension of the new matrix. + @param a the one dimensional C array to use as data storage for + the array. +*/ +template +Array3D::Array3D(int m, int n, int k, T *a) : v_(0), m_(m), n_(n) , + k_(k), ref_count_(0) +{ + initialize_(a, m, n, k); + ref_count_ = new int; + *ref_count_ = 2; /* this avoids destorying original data. */ + +} + + +/** + Used for A[i][j][k] indexing. The first [] operator returns + a conventional pointer which can be dereferenced using the + same [] notation. + + If TNT_BOUNDS_CHECK macro is define, the left-most index + is checked that it falls within the array bounds (via the + assert() macro.) +*/ +template +inline T** Array3D::operator[](int i) +{ +#ifdef TNT_BOUNDS_CHECK + assert(i >= 0); + assert(i < m_); +#endif + +return v_[i]; + +} + +template +inline const T* const * Array3D::operator[](int i) const { return v_[i]; } + +/** + Assign all elemnts of A to a constant scalar. +*/ +template +Array3D & Array3D::operator=(const T &a) +{ + set_(a); + return *this; +} +/** + Create a new of existing matrix. Used in B = A.copy() + or in the construction of B, e.g. Array3D B(A.copy()), + to create a new array that does not share data. + +*/ +template +Array3D Array3D::copy() const +{ + Array3D A(m_, n_, k_); + copy_(A.begin_(), begin_(), m_*n_*k_); + + return A; +} + + +/** + Copy the elements to from one array to another, in place. + That is B.inject(A), both A and B must conform (i.e. have + identical dimensions). + + This differs from B = A.copy() in that references to B + before this assignment are also affected. That is, if + we have + 

    +	Array3D A(m,n,k);
+	Array3D C(m,n,k);
+	Array3D B(C);        // elements of B and C are shared. 
+
+
    + then B.inject(A) affects both and C, while B=A.copy() creates + a new array B which shares no data with C or A. + + @param A the array from elements will be copied + @return an instance of the modifed array. That is, in B.inject(A), + it returns B. If A and B are not conformat, no modifications to + B are made. + +*/ +template +Array3D & Array3D::inject(const Array3D &A) +{ + if (A.m_ == m_ && A.n_ == n_) + copy_(begin_(), A.begin_(), m_*n_); + + return *this; +} + + + + + +/** + Create a reference (shallow assignment) to another existing array. + In B.ref(A), B and A shared the same data and subsequent changes + to the array elements of one will be reflected in the other. +

    + This is what operator= calls, and B=A and B.ref(A) are equivalent + operations. + + @return The new referenced array: in B.ref(A), it returns B. +*/ +template +Array3D & Array3D::ref(const Array3D &A) +{ + if (this != &A) + { + (*ref_count_) --; + if ( *ref_count_ < 1 ) + { + destroy_(); + } + + m_ = A.m_; + n_ = A.n_; + k_ = A.k_; + v_ = A.v_; + ref_count_ = A.ref_count_; + + (*ref_count_) ++ ; + + } + return *this; +} + +/** + B = A is shorthand notation for B.ref(A). +*/ +template +Array3D & Array3D::operator=(const Array3D &A) +{ + return ref(A); +} + +/** + @return the size of the first dimension of the array. +*/ +template +inline int Array3D::dim1() const { return m_; } + +/** + @return the size of the second dimension of the array. +*/ +template +inline int Array3D::dim2() const { return n_; } + +/** + @return the size of the third (right-most) dimension of the array. +*/ +template +inline int Array3D::dim3() const { return k_; } + + +/** + @return the number of arrays that share the same storage area + as this one. (Must be at least one.) +*/ +template +inline int Array3D::ref_count() const +{ + return *ref_count_; +} + +template +Array3D::~Array3D() +{ + (*ref_count_) --; + + if (*ref_count_ < 1) + destroy_(); +} + +/* private internal functions */ + +template +void Array3D::initialize_( T* data, int m, int n, int k) +{ + + v_ = new T**[m]; + v_[0] = new T*[m*n]; + v_[0][0] = data; + + + for (int i=0; i +void Array3D::set_(const T& a) +{ + T *begin = &(v_[0][0][0]); + T *end = begin+ m_*n_*k_; + + for (T* p=begin; p +void Array3D::copy_(T* p, const T* q, int len) const +{ + T *end = p + len; + while (p +void Array3D::destroy_() +{ + + if (v_ != 0) + { + delete[] (v_[0][0]); + delete[] (v_[0]); + delete[] (v_); + } + + if (ref_count_ != 0) + delete ref_count_; +} + +/** + @returns location of first element, i.e. A[0][0][0] (mutable). +*/ +template +const T* Array3D::begin_() const { return &(v_[0][0][0]); } + +/** + @returns location of first element, i.e. A[0][0][0] (mutable). +*/ +template +T* Array3D::begin_() { return &(v_[0][0][0]); } + +/** + Create a null (0x0x0) array. +*/ +template +Array3D::Array3D() : v_(0), m_(0), n_(0) +{ + ref_count_ = new int; + *ref_count_ = 1; +} + +} /* namespace TNT */ + +#endif +/* TNT_ARRAY3D_H */ + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array3d_utils.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array3d_utils.h new file mode 100644 index 0000000..5f54b12 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_array3d_utils.h @@ -0,0 +1,84 @@ + + +#ifndef TNT_ARRAY3D_UTILS_H +#define TNT_ARRAY3D_UTILS_H + +#include +#include + +namespace TNT +{ + + +/** + Write an array to a character outstream. Output format is one that can + be read back in via the in-stream operator: three integers + denoting the array dimensions (m x n x k), followed by m + (n x k) arrays. + +*/ +template +std::ostream& operator<<(std::ostream &s, const Array3D &A) +{ + int M=A.dim1(); + int N=A.dim2(); + int K=A.dim3(); + + s << M << " " << N << " " << K << "\n"; + + for (int i=0; i + Note: the array being read into references new memory + storage. If the intent is to fill an existing conformant + array, use cin >> B; A.inject(B) ); + instead or read the elements in one-a-time by hand. + + @param s the charater to read from (typically std::in) + @param A the array to read into. +*/ +template +std::istream& operator>>(std::istream &s, Array3D &A) +{ + + int M, N, K; + + s >> M >> N >> K; + + Array3D B(M,N,K); + + for (int i=0; i> B[i][j][k]; + + A = B; + return s; +} + + + + +} // namespace TNT + +#endif diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_cmat.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_cmat.h new file mode 100644 index 0000000..4789dbe --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_cmat.h @@ -0,0 +1,585 @@ +/* +* +* Template Numerical Toolkit (TNT) +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + +// C compatible matrix: row-oriented, 0-based [i][j] and 1-based (i,j) indexing +// + +#ifndef TNT_CMAT_H +#define TNT_CMAT_H + +#include "tnt_subscript.h" +#include "tnt_vec.h" +#include +#include +#include +#include + +namespace TNT +{ + +/** + [Deprecatred] Value-based vector class from pre-1.0 + TNT version. Kept here for backward compatiblity, but should + use the newer TNT::Array2D classes instead. + +*/ + +template +class Matrix +{ + + + public: + + typedef Subscript size_type; + typedef T value_type; + typedef T element_type; + typedef T* pointer; + typedef T* iterator; + typedef T& reference; + typedef const T* const_iterator; + typedef const T& const_reference; + + Subscript lbound() const { return 1;} + + protected: + Subscript m_; + Subscript n_; + Subscript mn_; // total size + T* v_; + T** row_; + T* vm1_ ; // these point to the same data, but are 1-based + T** rowm1_; + + // internal helper function to create the array + // of row pointers + + void initialize(Subscript M, Subscript N) + { + mn_ = M*N; + m_ = M; + n_ = N; + + v_ = new T[mn_]; + row_ = new T*[M]; + rowm1_ = new T*[M]; + + assert(v_ != NULL); + assert(row_ != NULL); + assert(rowm1_ != NULL); + + T* p = v_; + vm1_ = v_ - 1; + for (Subscript i=0; i &A) + { + initialize(A.m_, A.n_); + copy(A.v_); + } + + Matrix(Subscript M, Subscript N, const T& value = T()) + { + initialize(M,N); + set(value); + } + + Matrix(Subscript M, Subscript N, const T* v) + { + initialize(M,N); + copy(v); + } + + Matrix(Subscript M, Subscript N, const char *s) + { + initialize(M,N); + std::istrstream ins(s); + + Subscript i, j; + + for (i=0; i> row_[i][j]; + } + + // destructor + // + ~Matrix() + { + destroy(); + } + + + // reallocating + // + Matrix& newsize(Subscript M, Subscript N) + { + if (num_rows() == M && num_cols() == N) + return *this; + + destroy(); + initialize(M,N); + + return *this; + } + + + + + // assignments + // + Matrix& operator=(const Matrix &A) + { + if (v_ == A.v_) + return *this; + + if (m_ == A.m_ && n_ == A.n_) // no need to re-alloc + copy(A.v_); + + else + { + destroy(); + initialize(A.m_, A.n_); + copy(A.v_); + } + + return *this; + } + + Matrix& operator=(const T& scalar) + { + set(scalar); + return *this; + } + + + Subscript dim(Subscript d) const + { +#ifdef TNT_BOUNDS_CHECK + assert( d >= 1); + assert( d <= 2); +#endif + return (d==1) ? m_ : ((d==2) ? n_ : 0); + } + + Subscript num_rows() const { return m_; } + Subscript num_cols() const { return n_; } + + + + + inline T* operator[](Subscript i) + { +#ifdef TNT_BOUNDS_CHECK + assert(0<=i); + assert(i < m_) ; +#endif + return row_[i]; + } + + inline const T* operator[](Subscript i) const + { +#ifdef TNT_BOUNDS_CHECK + assert(0<=i); + assert(i < m_) ; +#endif + return row_[i]; + } + + inline reference operator()(Subscript i) + { +#ifdef TNT_BOUNDS_CHECK + assert(1<=i); + assert(i <= mn_) ; +#endif + return vm1_[i]; + } + + inline const_reference operator()(Subscript i) const + { +#ifdef TNT_BOUNDS_CHECK + assert(1<=i); + assert(i <= mn_) ; +#endif + return vm1_[i]; + } + + + + inline reference operator()(Subscript i, Subscript j) + { +#ifdef TNT_BOUNDS_CHECK + assert(1<=i); + assert(i <= m_) ; + assert(1<=j); + assert(j <= n_); +#endif + return rowm1_[i][j]; + } + + + + inline const_reference operator() (Subscript i, Subscript j) const + { +#ifdef TNT_BOUNDS_CHECK + assert(1<=i); + assert(i <= m_) ; + assert(1<=j); + assert(j <= n_); +#endif + return rowm1_[i][j]; + } + + + + +}; + + +/* *************************** I/O ********************************/ + +template +std::ostream& operator<<(std::ostream &s, const Matrix &A) +{ + Subscript M=A.num_rows(); + Subscript N=A.num_cols(); + + s << M << " " << N << "\n"; + + for (Subscript i=0; i +std::istream& operator>>(std::istream &s, Matrix &A) +{ + + Subscript M, N; + + s >> M >> N; + + if ( !(M == A.num_rows() && N == A.num_cols() )) + { + A.newsize(M,N); + } + + + for (Subscript i=0; i> A[i][j]; + } + + + return s; +} + +// *******************[ basic matrix algorithms ]*************************** + + +template +Matrix operator+(const Matrix &A, + const Matrix &B) +{ + Subscript M = A.num_rows(); + Subscript N = A.num_cols(); + + assert(M==B.num_rows()); + assert(N==B.num_cols()); + + Matrix tmp(M,N); + Subscript i,j; + + for (i=0; i +Matrix operator-(const Matrix &A, + const Matrix &B) +{ + Subscript M = A.num_rows(); + Subscript N = A.num_cols(); + + assert(M==B.num_rows()); + assert(N==B.num_cols()); + + Matrix tmp(M,N); + Subscript i,j; + + for (i=0; i +Matrix mult_element(const Matrix &A, + const Matrix &B) +{ + Subscript M = A.num_rows(); + Subscript N = A.num_cols(); + + assert(M==B.num_rows()); + assert(N==B.num_cols()); + + Matrix tmp(M,N); + Subscript i,j; + + for (i=0; i +Matrix transpose(const Matrix &A) +{ + Subscript M = A.num_rows(); + Subscript N = A.num_cols(); + + Matrix S(N,M); + Subscript i, j; + + for (i=0; i +inline Matrix matmult(const Matrix &A, + const Matrix &B) +{ + +#ifdef TNT_BOUNDS_CHECK + assert(A.num_cols() == B.num_rows()); +#endif + + Subscript M = A.num_rows(); + Subscript N = A.num_cols(); + Subscript K = B.num_cols(); + + Matrix tmp(M,K); + T sum; + + for (Subscript i=0; i +inline Matrix operator*(const Matrix &A, + const Matrix &B) +{ + return matmult(A,B); +} + +template +inline int matmult(Matrix& C, const Matrix &A, + const Matrix &B) +{ + + assert(A.num_cols() == B.num_rows()); + + Subscript M = A.num_rows(); + Subscript N = A.num_cols(); + Subscript K = B.num_cols(); + + C.newsize(M,K); + + T sum; + + const T* row_i; + const T* col_k; + + for (Subscript i=0; i +Vector matmult(const Matrix &A, const Vector &x) +{ + +#ifdef TNT_BOUNDS_CHECK + assert(A.num_cols() == x.dim()); +#endif + + Subscript M = A.num_rows(); + Subscript N = A.num_cols(); + + Vector tmp(M); + T sum; + + for (Subscript i=0; i +inline Vector operator*(const Matrix &A, const Vector &x) +{ + return matmult(A,x); +} + +} // namespace TNT + +#endif +// CMAT_H diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array1d.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array1d.h new file mode 100644 index 0000000..2b55185 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array1d.h @@ -0,0 +1,312 @@ +/* +* +* Template Numerical Toolkit (TNT): One-dimensional Fortran numerical array +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + + +#ifndef TNT_FORTRAN_ARRAY1D_H +#define TNT_FORTRAN_ARRAY1D_H + +#include +#include +#ifdef TNT_BOUNDS_CHECK +#include +#endif +#include "tnt_array1d.h" + +namespace TNT +{ + +/** + Templated one-dimensional, numerical array which + looks like a conventional Fortran array. This is + useful when integrating with C/C++ codes translated + from Fortran. Indexing is via the A(i) notation and A(1) + is the first element. + +

    + Array assignment is by reference (i.e. shallow assignment). + That is, B=A implies that the A and B point to the + same array, so modifications to the elements of A + will be reflected in B. If an independent copy + is required, then B = A.copy() can be used. Note + that this facilitates returning arrays from functions + without relying on compiler optimizations to eliminate + extensive data copying. + +

    + This class employs its own garbage collection via + the use of reference counts. That is, whenever + an internal array storage no longer has any references + to it, it is destoryed. +*/ +template +class Fortran_Array1D +{ + + + private: + Array1D A_; + + public: + + typedef T value_type; + + Fortran_Array1D(); + Fortran_Array1D(int n); + Fortran_Array1D(int n, T *a); + Fortran_Array1D(int n, const T &a); + inline Fortran_Array1D(const Fortran_Array1D &A); + inline Fortran_Array1D & operator=(const T &a); + inline Fortran_Array1D & operator=(const Fortran_Array1D &A); + inline Fortran_Array1D & ref(const Fortran_Array1D &A); + Fortran_Array1D copy(); + Fortran_Array1D & inject(const Fortran_Array1D & A); + inline T& operator()(int i); + inline const T& operator()(int i) const ; + inline int dim() const; + inline int dim1() const; + inline int ref_count() const; + ~Fortran_Array1D(); + + +}; + +/** + Create a null (0-length) array. +*/ +template +Fortran_Array1D::Fortran_Array1D() : A_() {} + + +/** + Copy constructor. Array data is NOT copied, but shared. + Thus, in Fortran_Array1D B(A), subsequent changes to A will + be reflected in B. For an indepent copy of A, use + Fortran_Array1D B(A.copy()), or B = A.copy(), instead. +*/ +template +Fortran_Array1D::Fortran_Array1D(const Fortran_Array1D &A) : A_(A.A_) {} + + + +/** + Create a new (n) array, WIHOUT initializing array elements. + To create an initialized array of constants, see Fortran_Array1D(n, value). + +

    + This version avoids the O(n) initialization overhead and + is used just before manual assignment. + + @param m the dimension of the new matrix. +*/ +template +Fortran_Array1D::Fortran_Array1D(int n) : A_(n) {} + + + +/** + Create a new n-length array, initializing array elements to + constant specified by argument. Most often used to + create an array of zeros, as in A(n, 0.0). + + @param m the dimension of the new matrix. + @param val the constant value to set all elements of the new array to. +*/ +template +Fortran_Array1D::Fortran_Array1D(int n, const T &val) : A_(n, val) {} + + +/** + Create a new n-length array, as a view of an existing one-dimensional + C array. (Note that the storage for this pre-existing array will + never be garbage collected by the Fortran_Array1D class.) + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. + @param a the one dimensional C array to use as data storage for + the array. +*/ +template +Fortran_Array1D::Fortran_Array1D(int n, T *a) : A_(n, a) {} + + + + +/** + Elements are accessed via A(i) indexing. + + If TNT_BOUNDS_CHECK macro is defined, the indices + are checked that they falls within the array bounds (via the + assert() macro.) +*/ +template +inline T& Fortran_Array1D::operator()(int i) +{ +#ifdef TNT_BOUNDS_CHECK + assert(i >= 1); + assert(i <= A_.dim1()); +#endif + + return A_[i-1]; + +} + +/** + Read-only version of A(i,j) indexing. + + If TNT_BOUNDS_CHECK macro is defined, the indices + are checked that they falls within the array bounds (via the + assert() macro.) +*/ +template +inline const T& Fortran_Array1D::operator()(int i) const +{ +#ifdef TNT_BOUNDS_CHECK + assert(i >= 1); + assert(i <= A_.dim1()); +#endif + + return A_[i-1]; + +} + + +/** + Assign all elemnts of A to a constant scalar. +*/ +template +Fortran_Array1D & Fortran_Array1D::operator=(const T &a) +{ + A_ = a; + return *this; +} +/** + Create a new of existing matrix. Used in B = A.copy() + or in the construction of B, e.g. Fortran_Array1D B(A.copy()), + to create a new array that does not share data. + +*/ +template +Fortran_Array1D Fortran_Array1D::copy() +{ + + Fortran_Array1D B; + + B.A_= A_.copy(); + return B; +} + + +/** + Copy the elements to from one array to another, in place. + That is B.inject(A), both A and B must conform (i.e. have + identical dimensions). + + This differs from B = A.copy() in that references to B + before this assignment are also affected. That is, if + we have + 

    +	Fortran_Array1D A(n);
+	Fortran_Array1D C(n);
+	Fortran_Array1D B(C);        // elements of B and C are shared. 
+
+
    + then B.inject(A) affects both and C, while B=A.copy() creates + a new array B which shares no data with C or A. + + @param A the array from elements will be copied + @return an instance of the modifed array. That is, in B.inject(A), + it returns B. If A and B are not conformat, no modifications to + B are made. + +*/ +template +Fortran_Array1D & Fortran_Array1D::inject(const Fortran_Array1D &A) +{ + A_.inject(A.A_); + + return *this; +} + + + + + +/** + Create a reference (shallow assignment) to another existing array. + In B.ref(A), B and A shared the same data and subsequent changes + to the array elements of one will be reflected in the other. +

    + This is what operator= calls, and B=A and B.ref(A) are equivalent + operations. + + @return The new referenced array: in B.ref(A), it returns B. +*/ +template +Fortran_Array1D & Fortran_Array1D::ref(const Fortran_Array1D &A) +{ + A_.ref(A.A_); + return *this; +} + +/** + B = A is shorthand notation for B.ref(A). +*/ +template +Fortran_Array1D & Fortran_Array1D::operator=(const Fortran_Array1D &A) +{ + return ref(A); +} + +/** + @return the size (dimension of) the array. +*/ +template +inline int Fortran_Array1D::dim1() const { return A_.dim1(); } + + +/** + @return the size (dimension of) the array. +*/ +template +inline int Fortran_Array1D::dim() const { return A_.dim(); } + + + + +/** + @return the number of arrays that share the same storage area + as this one. (Must be at least one.) +*/ +template +inline int Fortran_Array1D::ref_count() const { return A_.ref_count(); } + +template +Fortran_Array1D::~Fortran_Array1D() +{ +} + + + + +} /* namespace TNT */ + +#endif +/* TNT_FORTRAN_ARRAY1D_H */ + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array1d_utils.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array1d_utils.h new file mode 100644 index 0000000..21446eb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array1d_utils.h @@ -0,0 +1,64 @@ + +#ifndef TNT_FORTRAN_ARRAY1D_UTILS_H +#define TNT_FORTRAN_ARRAY1D_UTILS_H + +#include + +namespace TNT +{ + + +/** + Write an array to a character outstream. Output format is one that can + be read back in via the in-stream operator: one integer + denoting the array dimension (n), followed by n elements, + one per line. + +*/ +template +std::ostream& operator<<(std::ostream &s, const Fortran_Array1D &A) +{ + int N=A.dim1(); + + s << N << "\n"; + for (int j=1; j<=N; j++) + { + s << A(j) << "\n"; + } + s << "\n"; + + return s; +} + +/** + Read an array from a character stream. Input format + is one integer, denoting the dimension (n), followed + by n whitespace-separated elments. Newlines are ignored + +

    + Note: the array being read into references new memory + storage. If the intent is to fill an existing conformant + array, use cin >> B; A.inject(B) ); + instead or read the elements in one-a-time by hand. + + @param s the charater to read from (typically std::in) + @param A the array to read into. +*/ +template +std::istream& operator>>(std::istream &s, Fortran_Array1D &A) +{ + int N; + s >> N; + + Fortran_Array1D B(N); + for (int i=1; i<=N; i++) + s >> B(i); + A = B; + return s; +} + + + +} // namespace TNT + +#endif diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array2d.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array2d.h new file mode 100644 index 0000000..acabd00 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array2d.h @@ -0,0 +1,328 @@ +/* +* +* Template Numerical Toolkit (TNT): Two-dimensional Fortran numerical array +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + + +#ifndef TNT_FORTRAN_ARRAY2D_H +#define TNT_FORTRAN_ARRAY2D_H + +#include +#include + +#ifdef TNT_BOUNDS_CHECK +#include +#endif + +#include "tnt_array2d.h" + +namespace TNT +{ + +/** + Templated two-dimensional, numerical array which + looks like a conventional Fortran array. This is + useful when integrating with C/C++ codes translated + from Fortran. Storage corresponds to conventional Fortran ordering. + That is, the left-most dimension varies fastest. + Indexing is via the A(i,j) notation and A(1,1) + is the first element. + +

    + Array assignment is by reference (i.e. shallow assignment). + That is, B=A implies that the A and B point to the + same array, so modifications to the elements of A + will be reflected in B. If an independent copy + is required, then B = A.copy() can be used. Note + that this facilitates returning arrays from functions + without relying on compiler optimizations to eliminate + extensive data copying. + +

    + This class employs its own garbage collection via + the use of reference counts. That is, whenever + an internal array storage no longer has any references + to it, it is destoryed. +*/ +template +class Fortran_Array2D +{ + + + private: + /* For an (mxn) array, we internally keep an (nxm) "transposed" + C array and access A(i,j) as A[j-1][i-1]. The "-1" operation + is inlined in a tight loop and should be easily optimized. + */ + Array2D A_; + + public: + + typedef T value_type; + + Fortran_Array2D(); + Fortran_Array2D(int m, int n); + Fortran_Array2D(int m, int n, T *a); + Fortran_Array2D(int m, int n, const T &a); + inline Fortran_Array2D(const Fortran_Array2D &A); + inline Fortran_Array2D & operator=(const T &a); + inline Fortran_Array2D & operator=(const Fortran_Array2D &A); + inline Fortran_Array2D & ref(const Fortran_Array2D &A); + Fortran_Array2D copy(); + Fortran_Array2D & inject(const Fortran_Array2D & A); + inline T& operator()(int i, int j); + inline const T& operator()(int i, int j) const ; + inline int dim1() const; + inline int dim2() const; + inline int ref_count() const; + ~Fortran_Array2D(); + + +}; + +/** + Create a null (0x0x0) array. +*/ +template +Fortran_Array2D::Fortran_Array2D() : A_() {} + + +/** + Copy constructor. Array data is NOT copied, but shared. + Thus, in Fortran_Array2D B(A), subsequent changes to A will + be reflected in B. For an indepent copy of A, use + Fortran_Array2D B(A.copy()), or B = A.copy(), instead. +*/ +template +Fortran_Array2D::Fortran_Array2D(const Fortran_Array2D &A) : A_(A.A_) {} + + + +/** + Create a new (m x n) array, WIHOUT initializing array elements. + To create an initialized array of constants, see Fortran_Array2D(m,n, value). + +

    + This version avoids the O(m*n) initialization overhead and + is used just before manual assignment. + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. +*/ +template +Fortran_Array2D::Fortran_Array2D(int m, int n) : A_(n,m) {} + + + +/** + Create a new (m x n ) array, initializing array elements to + constant specified by argument. Most often used to + create an array of zeros, as in A(m, n, k, 0.0). + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. + @param val the constant value to set all elements of the new array to. +*/ +template +Fortran_Array2D::Fortran_Array2D(int m, int n, const T &val) : A_(n, m, val) {} + + +/** + + Create a new (m x n) array, as a view of an existing one-dimensional + C array, with elements stored in Fortran order, i.e. right-most dimension + varying fastest. (Often referred to as "column-major" ordering.) + Note that the storage for this pre-existing array will + never be garbage collected by the Fortran_Array2D class. + + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. + @param a the one dimensional C array to use as data storage for + the array. +*/ +template +Fortran_Array2D::Fortran_Array2D(int m, int n, T *a) : A_(n, m, a) {} + + + + +/** + Elements are accessed via A(i,j) indexing. + + If TNT_BOUNDS_CHECK macro is defined, the indices + are checked that they falls within the array bounds (via the + assert() macro.) +*/ +template +inline T& Fortran_Array2D::operator()(int i, int j) +{ +#ifdef TNT_BOUNDS_CHECK + assert(j >= 1); + assert(j <= A_.dim1()); + assert(i >= 1); + assert(i <= A_.dim2()); +#endif + + return A_[j-1][i-1]; + +} + +/** + Read-only version of A(i,j) indexing. + + If TNT_BOUNDS_CHECK macro is defined, the indices + are checked that they falls within the array bounds (via the + assert() macro.) +*/ +template +inline const T& Fortran_Array2D::operator()(int i, int j) const +{ +#ifdef TNT_BOUNDS_CHECK + assert(j >= 1); + assert(j <= A_.dim1()); + assert(i >= 1); + assert(i <= A_.dim2()); +#endif + + return A_[j-1][i-1]; + +} + + +/** + Assign all elemnts of A to a constant scalar. +*/ +template +Fortran_Array2D & Fortran_Array2D::operator=(const T &a) +{ + A_ = a; + return *this; +} +/** + Create a new of existing matrix. Used in B = A.copy() + or in the construction of B, e.g. Fortran_Array2D B(A.copy()), + to create a new array that does not share data. + +*/ +template +Fortran_Array2D Fortran_Array2D::copy() +{ + + Fortran_Array2D B; + + B.A_= A_.copy(); + return B; +} + + +/** + Copy the elements to from one array to another, in place. + That is B.inject(A), both A and B must conform (i.e. have + identical dimensions). + + This differs from B = A.copy() in that references to B + before this assignment are also affected. That is, if + we have + 

    +	Fortran_Array2D A(m,n);
+	Fortran_Array2D C(m,n);
+	Fortran_Array2D B(C);        // elements of B and C are shared. 
+
+
    + then B.inject(A) affects both and C, while B=A.copy() creates + a new array B which shares no data with C or A. + + @param A the array from elements will be copied + @return an instance of the modifed array. That is, in B.inject(A), + it returns B. If A and B are not conformat, no modifications to + B are made. + +*/ +template +Fortran_Array2D & Fortran_Array2D::inject(const Fortran_Array2D &A) +{ + A_.inject(A.A_); + + return *this; +} + + + + + +/** + Create a reference (shallow assignment) to another existing array. + In B.ref(A), B and A shared the same data and subsequent changes + to the array elements of one will be reflected in the other. +

    + This is what operator= calls, and B=A and B.ref(A) are equivalent + operations. + + @return The new referenced array: in B.ref(A), it returns B. +*/ +template +Fortran_Array2D & Fortran_Array2D::ref(const Fortran_Array2D &A) +{ + A_.ref(A.A_); + return *this; +} + +/** + B = A is shorthand notation for B.ref(A). +*/ +template +Fortran_Array2D & Fortran_Array2D::operator=(const Fortran_Array2D &A) +{ + return ref(A); +} + +/** + @return the size of the first dimension of the array. +*/ +template +inline int Fortran_Array2D::dim1() const { return A_.dim2(); } + +/** + @return the size of the second dimension of the array. +*/ +template +inline int Fortran_Array2D::dim2() const { return A_.dim1(); } + + + +/** + @return the number of arrays that share the same storage area + as this one. (Must be at least one.) +*/ +template +inline int Fortran_Array2D::ref_count() const { return A_.ref_count(); } + +template +Fortran_Array2D::~Fortran_Array2D() +{ +} + + + + +} /* namespace TNT */ + +#endif +/* TNT_FORTRAN_ARRAY2D_H */ + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array2d_utils.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array2d_utils.h new file mode 100644 index 0000000..8509d72 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array2d_utils.h @@ -0,0 +1,81 @@ + + +#ifndef TNT_FORTRAN_ARRAY2D_UTILS_H +#define TNT_FORTRAN_ARRAY2D_UTILS_H + +#include + +namespace TNT +{ + + +/** + Write an array to a character outstream. Output format is one that can + be read back in via the in-stream operator: two integers + denoting the array dimensions (m x n), followed by m + lines of n elements. + +*/ +template +std::ostream& operator<<(std::ostream &s, const Fortran_Array2D &A) +{ + int M=A.dim1(); + int N=A.dim2(); + + s << M << " " << N << "\n"; + + for (int i=1; i<=M; i++) + { + for (int j=1; j<=N; j++) + { + s << A(i,j) << " "; + } + s << "\n"; + } + + + return s; +} + +/** + Read an array from a character stream. Input format + is two integers, denoting the dimensions (m x n), followed + by m*n whitespace-separated elments in "row-major" order + (i.e. right-most dimension varying fastest.) Newlines + are ignored. + +

    + Note: the array being read into references new memory + storage. If the intent is to fill an existing conformant + array, use cin >> B; A.inject(B) ); + instead or read the elements in one-a-time by hand. + + @param s the charater to read from (typically std::in) + @param A the array to read into. +*/ +template +std::istream& operator>>(std::istream &s, Fortran_Array2D &A) +{ + + int M, N; + + s >> M >> N; + + Fortran_Array2D B(M,N); + + for (int i=1; i<=M; i++) + for (int j=1; j<=N; j++) + { + s >> B(i,j); + } + + A = B; + return s; +} + + + + +} // namespace TNT + +#endif diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array3d.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array3d.h new file mode 100644 index 0000000..9994ff8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array3d.h @@ -0,0 +1,339 @@ +/* +* +* Template Numerical Toolkit (TNT): Three-dimensional Fortran numerical array +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + + +#ifndef TNT_FORTRAN_ARRAY3D_H +#define TNT_FORTRAN_ARRAY3D_H + +#include +#include +#ifdef TNT_BOUNDS_CHECK +#include +#endif +#include "tnt_array3d.h" + +namespace TNT +{ + +/** + Templated three-dimensional, numerical array which + looks like a conventional Fortran array. This is + useful when integrating with C/C++ codes translated + from Fortran. Storage corresponds to conventional Fortran ordering. + That is, the left-most dimension varies fastest. + Indexing is via the A(i,j,k) notation and A(1,1,1) + is the first element. + +

    + Array assignment is by reference (i.e. shallow assignment). + That is, B=A implies that the A and B point to the + same array, so modifications to the elements of A + will be reflected in B. If an independent copy + is required, then B = A.copy() can be used. Note + that this facilitates returning arrays from functions + without relying on compiler optimizations to eliminate + extensive data copying. + +

    + This class employs its own garbage collection via + the use of reference counts. That is, whenever + an internal array storage no longer has any references + to it, it is destoryed. +*/ +template +class Fortran_Array3D +{ + + + private: + + + /* For an (mxnxk) array, we internally keep an (kxnxm) "transposed" + C array and access A(i,j,k) as A[k-1][j-1][i-1]. The "-1" operation + is inlined in a tight loop and should be easily optimized. + */ + Array3D A_; + + public: + + typedef T value_type; + + Fortran_Array3D(); + Fortran_Array3D(int m, int n, int k); + Fortran_Array3D(int m, int n, int k, T *a); + Fortran_Array3D(int m, int n, int k, const T &a); + inline Fortran_Array3D(const Fortran_Array3D &A); + inline Fortran_Array3D & operator=(const T &a); + inline Fortran_Array3D & operator=(const Fortran_Array3D &A); + inline Fortran_Array3D & ref(const Fortran_Array3D &A); + Fortran_Array3D copy(); + Fortran_Array3D & inject(const Fortran_Array3D & A); + inline T& operator()(int i, int j, int k); + inline const T& operator()(int i, int j, int k) const ; + inline int dim1() const; + inline int dim2() const; + inline int dim3() const; + inline int ref_count() const; + ~Fortran_Array3D(); + + +}; + +/** + Create a null (0x0x0) array. +*/ +template +Fortran_Array3D::Fortran_Array3D() : A_() {} + + +/** + Copy constructor. Array data is NOT copied, but shared. + Thus, in Fortran_Array3D B(A), subsequent changes to A will + be reflected in B. For an indepent copy of A, use + Fortran_Array3D B(A.copy()), or B = A.copy(), instead. +*/ +template +Fortran_Array3D::Fortran_Array3D(const Fortran_Array3D &A) : A_(A.A_) {} + + + +/** + Create a new (m x n x k) array, WIHOUT initializing array elements. + To create an initialized array of constants, see Fortran_Array3D(m,n,k, value). + +

    + This version avoids the O(m*n*k) initialization overhead and + is used just before manual assignment. + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. + @param k the third dimension of the new matrix. +*/ +template +Fortran_Array3D::Fortran_Array3D(int m, int n, int k) : A_(k,n,m) {} + + + +/** + Create a new (m x n x k) array, initializing array elements to + constant specified by argument. Most often used to + create an array of zeros, as in A(m, n, k, 0.0). + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. + @param k the third dimension of the new matrix. + @param val the constant value to set all elements of the new array to. +*/ +template +Fortran_Array3D::Fortran_Array3D(int m, int n, int k, const T &val) : + A_(k, n, m, val) {} + + +/** + Create a new (m x n x k) array, as a view of an existing one-dimensional + C array, with elements stored in Fortran order, i.e. right-most dimension + varying fastest. (Often referred to as "column-major" ordering.) + Note that the storage for this pre-existing array will + never be garbage collected by the Fortran_Array3D class. + + @param m the first dimension of the new matrix. + @param n the second dimension of the new matrix. + @param k the third dimension of the new matrix. + @param a the one dimensional C array to use as data storage for + the array. +*/ +template +Fortran_Array3D::Fortran_Array3D(int m, int n, int k, T *a) : + A_(k, n, m, a) {} + + + + +/** + Elements are accessed via A(i,j,k) indexing. + + If TNT_BOUNDS_CHECK macro is defined, the indices + are checked that they falls within the array bounds (via the + assert() macro.) +*/ +template +inline T& Fortran_Array3D::operator()(int i, int j, int k) +{ +#ifdef TNT_BOUNDS_CHECK + assert(k >= 1); + assert(k <= A_.dim1()); + assert(j >= 1); + assert(j <= A_.dim2()); + assert(i >= 1); + assert(i <= A_.dim3()); +#endif + + return A_[k-1][j-1][i-1]; + +} + +/** + Read-only version of A(i,j,k) indexing. + + If TNT_BOUNDS_CHECK macro is defined, the indices + are checked that they falls within the array bounds (via the + assert() macro.) +*/ +template +inline const T& Fortran_Array3D::operator()(int i, int j, int k) const +{ +#ifdef TNT_BOUNDS_CHECK + assert(k >= 1); + assert(k <= A_.dim1()); + assert(j >= 1); + assert(j <= A_.dim2()); + assert(i >= 1); + assert(i <= A_.dim3()); +#endif + + return A_[k-1][j-1][i-1]; + +} + + +/** + Assign all elemnts of A to a constant scalar. +*/ +template +Fortran_Array3D & Fortran_Array3D::operator=(const T &a) +{ + A_ = a; + return *this; +} +/** + Create a new of existing matrix. Used in B = A.copy() + or in the construction of B, e.g. Fortran_Array3D B(A.copy()), + to create a new array that does not share data. + +*/ +template +Fortran_Array3D Fortran_Array3D::copy() +{ + + Fortran_Array3D B; + + B.A_= A_.copy(); + return B; +} + + +/** + Copy the elements to from one array to another, in place. + That is B.inject(A), both A and B must conform (i.e. have + identical dimensions). + + This differs from B = A.copy() in that references to B + before this assignment are also affected. That is, if + we have + 

    +	Fortran_Array3D A(m,n,k);
+	Fortran_Array3D C(m,n,k);
+	Fortran_Array3D B(C);        // elements of B and C are shared. 
+
+
    + then B.inject(A) affects both and C, while B=A.copy() creates + a new array B which shares no data with C or A. + + @param A the array from elements will be copied + @return an instance of the modifed array. That is, in B.inject(A), + it returns B. If A and B are not conformat, no modifications to + B are made. + +*/ +template +Fortran_Array3D & Fortran_Array3D::inject(const Fortran_Array3D &A) +{ + A_.inject(A.A_); + + return *this; +} + + + + + +/** + Create a reference (shallow assignment) to another existing array. + In B.ref(A), B and A shared the same data and subsequent changes + to the array elements of one will be reflected in the other. +

    + This is what operator= calls, and B=A and B.ref(A) are equivalent + operations. + + @return The new referenced array: in B.ref(A), it returns B. +*/ +template +Fortran_Array3D & Fortran_Array3D::ref(const Fortran_Array3D &A) +{ + A_.ref(A.A_); + return *this; +} + +/** + B = A is shorthand notation for B.ref(A). +*/ +template +Fortran_Array3D & Fortran_Array3D::operator=(const Fortran_Array3D &A) +{ + return ref(A); +} + +/** + @return the size of the first dimension of the array. +*/ +template +inline int Fortran_Array3D::dim1() const { return A_.dim3(); } + +/** + @return the size of the second dimension of the array. +*/ +template +inline int Fortran_Array3D::dim2() const { return A_.dim2(); } + +/** + @return the size of the third (right-most) dimension of the array. +*/ +template +inline int Fortran_Array3D::dim3() const { return A_.dim1(); } + + +/** + @return the number of arrays that share the same storage area + as this one. (Must be at least one.) +*/ +template +inline int Fortran_Array3D::ref_count() const { return A_.ref_count(); } + +template +Fortran_Array3D::~Fortran_Array3D() +{ +} + + +} /* namespace TNT */ + +#endif +/* TNT_FORTRAN_ARRAY3D_H */ + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array3d_utils.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array3d_utils.h new file mode 100644 index 0000000..6a72b75 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_fortran_array3d_utils.h @@ -0,0 +1,84 @@ + + +#ifndef TNT_FORTRAN_ARRAY3D_UTILS_H +#define TNT_FORTRAN_ARRAY3D_UTILS_H + +#include +#include + +namespace TNT +{ + + +/** + Write an array to a character outstream. Output format is one that can + be read back in via the in-stream operator: three integers + denoting the array dimensions (m x n x k), followed by m + (n x k) arrays in "row-major" order. + +*/ +template +std::ostream& operator<<(std::ostream &s, const Fortran_Array3D &A) +{ + int M=A.dim1(); + int N=A.dim2(); + int K=A.dim3(); + + s << M << " " << N << " " << K << "\n"; + + for (int i=1; i<=M; i++) + { + for (int j=1; j<=N; j++) + { + for (int k=1; k<=K; k++) + s << A(i,j,k) << " "; + s << "\n"; + } + s << "\n"; + } + + + return s; +} + +/** + Read an array from a character stream. Input format + is three integers, denoting the dimensions (m x n x k), followed + by m*n*k whitespace-separated elments in "row-major" order + (i.e. right-most dimension varying fastest.) Newlines + are ignored. + +

    + Note: the array being read into references new memory + storage. If the intent is to fill an existing conformant + array, use cin >> B; A.inject(B) ); + instead or read the elements in one-a-time by hand. + + @param s the charater to read from (typically std::in) + @param A the array to read into. +*/ +template +std::istream& operator>>(std::istream &s, Fortran_Array3D &A) +{ + + int M, N, K; + + s >> M >> N >> K; + + Fortran_Array3D B(M,N,K); + + for (int i=1; i<=M; i++) + for (int j=1; j<=N; j++) + for (int k=1; k<=K; k++) + s >> B(i,j,k); + + A = B; + return s; +} + + + + +} // namespace TNT + +#endif diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_math_utils.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_math_utils.h new file mode 100644 index 0000000..985d045 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_math_utils.h @@ -0,0 +1,65 @@ +#ifndef MATH_UTILS_H +#define MATH_UTILS_H + +#include +/* needed for sqrt() below */ + +namespace TNT +{ +/** + @returns hypotenuse of real (non-complex) scalars a and b by + avoiding underflow/overflow + using (a * sqrt( 1 + (b/a) * (b/a))), rather than + sqrt(a*a + b*b). +*/ +template +Real hypot(const Real &a, const Real &b) +{ + + if (a== 0) + return abs(b); + else + { + Real c = b/a; + return a * sqrt(1 + c*c); + } +} + +/** + @returns the minimum of scalars a and b. +*/ +#undef min +template +Scalar min(const Scalar &a, const Scalar &b) +{ + return a < b ? a : b; +} + +/** + @returns the maximum of scalars a and b. +*/ +#undef max +template +Scalar max(const Scalar &a, const Scalar &b) +{ + return a > b ? a : b; +} + +/* added by G.Peyre */ +#define TNT_MIN(a, b) ((a) < (b) ? (a) : (b)) //!< Returns the min value between a and b +#define TNT_MAX(a, b) ((a) > (b) ? (a) : (b)) //!< Returns the max value between a and b +#define TNT_ABS(a) ((a) > 0 ? (a) : -(a)) //!< Returns the absolute value a + + +/** + @returns the absolute value of a real (no-complex) scalar. +*/ +template +Real abs(const Real &a) +{ + return (a > 0 ? a : -a); +} + +} +#endif +/* MATH_UTILS_H */ diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_sparse_matrix_csr.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_sparse_matrix_csr.h new file mode 100644 index 0000000..0d4fde1 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_sparse_matrix_csr.h @@ -0,0 +1,103 @@ +/* +* +* Template Numerical Toolkit (TNT) +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + +#ifndef TNT_SPARSE_MATRIX_CSR_H +#define TNT_SPARSE_MATRIX_CSR_H + +#include "tnt_array1d.h" + +namespace TNT +{ + + +/** + Read-only view of a sparse matrix in compressed-row storage + format. Neither array elements (nonzeros) nor sparsity + structure can be modified. If modifications are required, + create a new view. + +

    + Index values begin at 0. + +

    + Storage requirements: An (m x n) matrix with + nz nonzeros requires no more than ((T+I)*nz + M*I) + bytes, where T is the size of data elements and + I is the size of integers. + + +*/ +template +class Sparse_Matrix_CompRow { + +private: + Array1D val_; // data values (nz_ elements) + Array1D rowptr_; // row_ptr (dim_[0]+1 elements) + Array1D colind_; // col_ind (nz_ elements) + + int dim1_; // number of rows + int dim2_; // number of cols + +public: + + Sparse_Matrix_CompRow(const Sparse_Matrix_CompRow &S); + Sparse_Matrix_CompRow(int M, int N, int nz, const T *val, + const int *r, const int *c); + + + + inline const T& val(int i) const { return val_[i]; } + inline const int& row_ptr(int i) const { return rowptr_[i]; } + inline const int& col_ind(int i) const { return colind_[i];} + + inline int dim1() const {return dim1_;} + inline int dim2() const {return dim2_;} + int NumNonzeros() const {return val_.dim1();} + + + Sparse_Matrix_CompRow& operator=( + const Sparse_Matrix_CompRow &R); + + + +}; + +/** + Construct a read-only view of existing sparse matrix in + compressed-row storage format. + + @param M the number of rows of sparse matrix + @param N the number of columns of sparse matrix + @param nz the number of nonzeros + @param val a contiguous list of nonzero values + @param r row-pointers: r[i] denotes the begining position of row i + (i.e. the ith row begins at val[row[i]]). + @param c column-indices: c[i] denotes the column location of val[i] +*/ +template +Sparse_Matrix_CompRow::Sparse_Matrix_CompRow(int M, int N, int nz, + const T *val, const int *r, const int *c) : val_(nz,val), + rowptr_(M, r), colind_(nz, c), dim1_(M), dim2_(N) {} + + +} +// namespace TNT + +#endif diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_stopwatch.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_stopwatch.h new file mode 100644 index 0000000..3bf68c9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_stopwatch.h @@ -0,0 +1,122 @@ +/* +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + + +#ifndef STOPWATCH_H +#define STOPWATCH_H + +// for clock() and CLOCKS_PER_SEC +#include + + +namespace TNT +{ + +inline static double seconds(void) +{ + const double secs_per_tick = 1.0 / CLOCKS_PER_SEC; + return ( (double) clock() ) * secs_per_tick; +} + +/** + Performance Stopwatch used for benchmarking codes. + Measure seconds elapsed. +*/ +class Stopwatch { + private: + int running_; + double start_time_; + double total_; + + public: + Stopwatch(); + inline void start(); + inline double stop(); + inline double read(); + inline void resume(); + inline int running(); +}; + +/** + Create an instance of a Stopwatch, with its own internal + counter. +*/ +inline +Stopwatch::Stopwatch() : running_(0), start_time_(0.0), total_(0.0) {} + +/** + Start timing from 0.00. +*/ +inline +void Stopwatch::start() +{ + running_ = 1; + total_ = 0.0; + start_time_ = seconds(); +} + +/** + + Stop timing and return elapsed time (in seconds). +*/ +inline +double Stopwatch::stop() +{ + if (running_) + { + total_ += (seconds() - start_time_); + running_ = 0; + } + return total_; +} + +/** + Resume timing, if currently stopped. Operation + has no effect if Stopwatch is already running_. +*/ +inline +void Stopwatch::resume() +{ + if (!running_) + { + start_time_ = seconds(); + running_ = 1; + } +} + + +/** + Read current time (in seconds). +*/ +inline +double Stopwatch::read() +{ + if (running_) + { + stop(); + resume(); + } + return total_; +} + + +} +#endif + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_subscript.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_subscript.h new file mode 100644 index 0000000..dfbd123 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_subscript.h @@ -0,0 +1,54 @@ +/* +* +* Template Numerical Toolkit (TNT) +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + +#ifndef TNT_SUBSCRPT_H +#define TNT_SUBSCRPT_H + + +//--------------------------------------------------------------------- +// This definition describes the default TNT data type used for +// indexing into TNT matrices and vectors. The data type should +// be wide enough to index into large arrays. It defaults to an +// "int", but can be overriden at compile time redefining TNT_SUBSCRIPT_TYPE, +// e.g. +// +// c++ -DTNT_SUBSCRIPT_TYPE='unsigned int' ... +// +//--------------------------------------------------------------------- +// + +#ifndef TNT_SUBSCRIPT_TYPE +#define TNT_SUBSCRIPT_TYPE int +#endif + +namespace TNT +{ + typedef TNT_SUBSCRIPT_TYPE Subscript; +} + + +// () indexing in TNT means 1-offset, i.e. x(1) and A(1,1) are the +// first elements. This offset is left as a macro for future +// purposes, but should not be changed in the current release. +// +// +#define TNT_BASE_OFFSET (1) + +#endif diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_vec.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_vec.h new file mode 100644 index 0000000..1dc92e0 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_maths/tnt/tnt_vec.h @@ -0,0 +1,404 @@ +/* +* +* Template Numerical Toolkit (TNT) +* +* Mathematical and Computational Sciences Division +* National Institute of Technology, +* Gaithersburg, MD USA +* +* +* This software was developed at the National Institute of Standards and +* Technology (NIST) by employees of the Federal Government in the course +* of their official duties. Pursuant to title 17 Section 105 of the +* United States Code, this software is not subject to copyright protection +* and is in the public domain. NIST assumes no responsibility whatsoever for +* its use by other parties, and makes no guarantees, expressed or implied, +* about its quality, reliability, or any other characteristic. +* +*/ + + + +#ifndef TNT_VEC_H +#define TNT_VEC_H + +#include "tnt_subscript.h" +#include +#include +#include +#include + +namespace TNT +{ + +/** + [Deprecatred] Value-based vector class from pre-1.0 + TNT version. Kept here for backward compatiblity, but should + use the newer TNT::Array1D classes instead. + +*/ + +template +class Vector +{ + + + public: + + typedef Subscript size_type; + typedef T value_type; + typedef T element_type; + typedef T* pointer; + typedef T* iterator; + typedef T& reference; + typedef const T* const_iterator; + typedef const T& const_reference; + + Subscript lbound() const { return 1;} + + protected: + T* v_; + T* vm1_; // pointer adjustment for optimzied 1-offset indexing + Subscript n_; + + // internal helper function to create the array + // of row pointers + + void initialize(Subscript N) + { + // adjust pointers so that they are 1-offset: + // v_[] is the internal contiguous array, it is still 0-offset + // + assert(v_ == NULL); + v_ = new T[N]; + assert(v_ != NULL); + vm1_ = v_-1; + n_ = N; + } + + void copy(const T* v) + { + Subscript N = n_; + Subscript i; + +#ifdef TNT_UNROLL_LOOPS + Subscript Nmod4 = N & 3; + Subscript N4 = N - Nmod4; + + for (i=0; i &A) : v_(0), vm1_(0), n_(0) + { + initialize(A.n_); + copy(A.v_); + } + + Vector(Subscript N, const T& value = T()) : v_(0), vm1_(0), n_(0) + { + initialize(N); + set(value); + } + + Vector(Subscript N, const T* v) : v_(0), vm1_(0), n_(0) + { + initialize(N); + copy(v); + } + + Vector(Subscript N, char *s) : v_(0), vm1_(0), n_(0) + { + initialize(N); + std::istrstream ins(s); + + Subscript i; + + for (i=0; i> v_[i]; + } + + + // methods + // + Vector& newsize(Subscript N) + { + if (n_ == N) return *this; + + destroy(); + initialize(N); + + return *this; + } + + + // assignments + // + Vector& operator=(const Vector &A) + { + if (v_ == A.v_) + return *this; + + if (n_ == A.n_) // no need to re-alloc + copy(A.v_); + + else + { + destroy(); + initialize(A.n_); + copy(A.v_); + } + + return *this; + } + + Vector& operator=(const T& scalar) + { + set(scalar); + return *this; + } + + inline Subscript dim() const + { + return n_; + } + + inline Subscript size() const + { + return n_; + } + + + inline reference operator()(Subscript i) + { +#ifdef TNT_BOUNDS_CHECK + assert(1<=i); + assert(i <= n_) ; +#endif + return vm1_[i]; + } + + inline const_reference operator() (Subscript i) const + { +#ifdef TNT_BOUNDS_CHECK + assert(1<=i); + assert(i <= n_) ; +#endif + return vm1_[i]; + } + + inline reference operator[](Subscript i) + { +#ifdef TNT_BOUNDS_CHECK + assert(0<=i); + assert(i < n_) ; +#endif + return v_[i]; + } + + inline const_reference operator[](Subscript i) const + { +#ifdef TNT_BOUNDS_CHECK + assert(0<=i); + + + + + + + assert(i < n_) ; +#endif + return v_[i]; + } + + + +}; + + +/* *************************** I/O ********************************/ + +template +std::ostream& operator<<(std::ostream &s, const Vector &A) +{ + Subscript N=A.dim(); + + s << N << endl; + + for (Subscript i=0; i +std::istream & operator>>(std::istream &s, Vector &A) +{ + + Subscript N; + + s >> N; + + if ( !(N == A.size() )) + { + A.newsize(N); + } + + + for (Subscript i=0; i> A[i]; + + + return s; +} + +// *******************[ basic matrix algorithms ]*************************** + + +template +Vector operator+(const Vector &A, + const Vector &B) +{ + Subscript N = A.dim(); + + assert(N==B.dim()); + + Vector tmp(N); + Subscript i; + + for (i=0; i +Vector operator-(const Vector &A, + const Vector &B) +{ + Subscript N = A.dim(); + + assert(N==B.dim()); + + Vector tmp(N); + Subscript i; + + for (i=0; i +Vector operator*(const Vector &A, + const Vector &B) +{ + Subscript N = A.dim(); + + assert(N==B.dim()); + + Vector tmp(N); + Subscript i; + + for (i=0; i +T dot_prod(const Vector &A, const Vector &B) +{ + Subscript N = A.dim(); + assert(N == B.dim()); + + Subscript i; + T sum = 0; + + for (i=0; iGetNumVerts() ); + Mesh.SetNbrFace( this->GetNumFaces() ); + GW_U32* pFace = this->GetFaces(); + GW_Real32* pVert = this->GetVerts(); + GW_Real32* pNormal = this->GetVertNormals(); + GW_Real32* pTexture = this->GetTexture(); + GW_Vertex* pCurVert = NULL; + GW_Vector3D Pos, Normal; + + std::map VertCorrespondance; + + /* load vertex */ + for( GW_I32 i=0; iGetNumVerts(); ++i ) + { + Pos = GW_Vector3D( pVert[3*i], pVert[3*i+1], pVert[3*i+2] ); + /* this is to avoid an annoying problem of vertex duplication */ + for( GW_I32 j=0; jSetPosition( Pos ); + pCurVert->SetNormal( Normal ); + if( want & kTexCoord ) + { + for( GW_U32 s=0; s<1; ++s ) + { + if( pTexture[2*i+s]<0 ) + pTexture[2*i+s] += 1; + if( pTexture[2*i+s]>1 ) + pTexture[2*i+s] -= 1; + } + pCurVert->SetTexCoords( pTexture[2*i+0], pTexture[2*i+1] ); + } + Mesh.SetVertex( i, pCurVert ); + } + /* load faces */ + GW_Face* pCurFace = NULL; + for( GW_I32 i=0; iGetNumFaces(); ++i ) + { + pCurFace = &Mesh.CreateNewFace(); + GW_U32 FaceNumber[3]; + for( GW_U32 s=0; s<3; ++s ) + { + FaceNumber[s] = pFace[3*i+s]; + if( VertCorrespondance.find(FaceNumber[s])!=VertCorrespondance.end() ) + FaceNumber[s] = VertCorrespondance[FaceNumber[s]]; + } + + pCurFace->SetVertex( *Mesh.GetVertex(FaceNumber[0]), + *Mesh.GetVertex(FaceNumber[1]), + *Mesh.GetVertex(FaceNumber[2]) ); + Mesh.SetFace( i, pCurFace ); + } + + return GW_OK; +} + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_ASELoader.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_ASELoader.h.svn-base new file mode 100644 index 0000000..26dc308 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_ASELoader.h.svn-base @@ -0,0 +1,123 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_ASELoader.h + * \brief Definition of class \c GW_ASELoader + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef __GW_ASELoader__ +#define __GW_ASELoader__ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Mesh.h" + +GW_BEGIN_NAMESPACE + +class GW_ASELoader +{ +public: + + GW_ASELoader(); + virtual ~GW_ASELoader(); + + GW_I32 Load(GW_Mesh& Mesh, const char *name, GW_I32 bits = kTexCoord | kNormals); + +protected: + + class aseFace_t + { + public: + aseFace_t(GW_I32 n1, GW_I32 n2, GW_I32 n3) : ndx1(n1), ndx2(n2), ndx3(n3) {} + GW_I32 ndx1, ndx2, ndx3; + }; + + + void Release(); + + GW_Real32 *GetVerts() const {return verts;} + GW_U32 *GetFaces() const {return faces;} + GW_Real32 *GetVertNormals() const {return vertNorms;} + GW_Real32 *GetTexture() const {return texVerts;} + GW_I32 GetNumFaces() const {return numFaces;} + GW_I32 GetNumVerts() const {return numVerts;} + + aseFace_t GetFace(GW_I32 num) const + { + return aseFace_t(3 * num + 0, 3 * num + 1, 3 * num + 2); + } + + GW_Vector3D GetVertex(GW_I32 num) const + { + return GW_Vector3D(verts[3 * num + 0], verts[3 * num + 1], verts[3 * num + 2]); + } + + GW_I32 GetNumIndex() {return numIndex;} + + enum T_LoadingFlag + { + kTexCoord = 0x01, + kNormals = 0x02 + }; + + void Allocate(); + void Delete(); + void GetData (FILE *strm); + void GetInfo(FILE *strm); + void GetVertex(FILE *strm); + void GetFace(FILE *strm); + void GetTFace(FILE *strm); + void GetTVertex (FILE *strm); + GW_Real32 GetFloatVal (FILE *strm); + void Align(); + void MakeNormals(); + + static const char *mNumVertex; + static const char *mNumFaces; + static const char *mNumTVertex; + static const char *mNumTFaces; + static const char *mVertexList; + static const char *mVertex; + static const char *mFaceList; + static const char *mFace; + static const char *mNormals; + static const char *mFaceNormal; + static const char *mNVertex; + static const char *mTVert; + static const char *mTFace; + static const char *mTexture; + static const char *mUTile; + static const char *mVTile; + static const char *mUOffset; + static const char *mVOffset; + + GW_I32 want; + GW_I32 numVerts; + GW_I32 numFaces; + GW_I32 numTexFaces; + GW_I32 numTexVerts; + GW_I32 numIndex; + GW_Real32 *verts; + GW_Real32 *texVerts; + GW_Real32 *vertNorms; + GW_U32 *faces; + GW_U32 *texFaces; + + GW_Real32 texUTile; + GW_Real32 texVTile; + GW_Real32 texUOffset; + GW_Real32 texVOffset; +}; + +GW_END_NAMESPACE + +#endif // #ifdef __GW_ASELoader__ + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_BasicDisplayer.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_BasicDisplayer.cpp.svn-base new file mode 100644 index 0000000..5dfe6dd --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_BasicDisplayer.cpp.svn-base @@ -0,0 +1,413 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_BasicDisplayer.cpp + * \brief Definition of class \c GW_BasicDisplayer + * \author Gabriel Peyré + * \date 3-28-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_BasicDisplayer.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_BasicDisplayer.h" + +#ifndef GW_USE_INLINE + #include "GW_BasicDisplayer.inl" +#endif + +using namespace GW; + +/*------------------------------------------------------------------------------*/ +// Name : GW_BasicDisplayer::DisplayMesh +/** + * \param Mesh [GW_Mesh&] The mesh. + * \author Gabriel Peyré + * \date 3-28-2003 + * + * Basic display of a whole mesh. + */ +/*------------------------------------------------------------------------------*/ +#include +void GW_BasicDisplayer::DisplayMesh(GW_Mesh& Mesh) +{ + GW_Face* pFace = NULL; + GW_Vertex* pVert = NULL; + GW_Vector3D* vect = NULL; + GW_Vector3D TempVect; + if( bProrieties[kLighting] && !bProrieties[kForceMonoColor] ) + glEnable(GL_LIGHTING); + else + glDisable(GL_LIGHTING); + glColorMaterial( GL_FRONT_AND_BACK, GL_AMBIENT_AND_DIFFUSE ); + glEnable( GL_COLOR_MATERIAL ); + if( !bProrieties[kUseFlatLighting] ) + { + #define SPECULAR_COLOR 1 + GLfloat aSpecular[4] = {SPECULAR_COLOR,SPECULAR_COLOR,SPECULAR_COLOR,1}; + glMaterialfv(GL_FRONT_AND_BACK, GL_SPECULAR, (GLfloat*) aSpecular); + glMaterialf(GL_FRONT_AND_BACK, GL_SHININESS, 100); + if( VertexArray_!=NULL && FaceArray_!=NULL ) + { + /* flush vertex array */ +#if 1 + if( !bProrieties[kForceMonoColor] ) + glInterleavedArrays( GL_T2F_C4F_N3F_V3F, 0, VertexArray_ ); + else + { + glVertexPointer( 3, GL_FLOAT, VCN_OFFSET*sizeof(GLfloat), &VertexArray_[V_OFFSET] ); + glNormalPointer( GL_FLOAT, VCN_OFFSET*sizeof(GLfloat), &VertexArray_[N_OFFSET] ); + glTexCoordPointer( 2, GL_FLOAT, VCN_OFFSET*sizeof(GLfloat), &VertexArray_[T_OFFSET] ); + glEnableClientState( GL_VERTEX_ARRAY ); + glEnableClientState( GL_NORMAL_ARRAY ); + glEnableClientState( GL_TEXTURE_COORD_ARRAY ); + glDisableClientState( GL_COLOR_ARRAY ); + } + glDrawElements( GL_TRIANGLES, 3*nNbrFace_, GL_UNSIGNED_INT, FaceArray_ ); +#else // zap long edge + + glInterleavedArrays( GL_T2F_C4F_N3F_V3F, 0, VertexArray_ ); + for( GW_U32 i=0; iComputeNormal(); + GW_Float l = ~( pFace->GetVertex(0)->GetPosition()-pFace->GetVertex(1)->GetPosition() ); + l = GW_MAX( l, ~( pFace->GetVertex(0)->GetPosition()-pFace->GetVertex(2)->GetPosition() ) ); + l = GW_MAX( l, ~( pFace->GetVertex(1)->GetPosition()-pFace->GetVertex(2)->GetPosition() ) ); + if( l<1.2 ) + glDrawElements( GL_TRIANGLES, 3, GL_UNSIGNED_INT, FaceArray_+3*i ); + } + + // buggy code ??? + /* glBegin(GL_TRIANGLES); + for( GW_U32 i=0; iComputeNormal(); + GW_Float l = ~( pFace->GetVertex(0)->GetPosition()-pFace->GetVertex(1)->GetPosition() ); + l = GW_MAX( l, ~( pFace->GetVertex(0)->GetPosition()-pFace->GetVertex(2)->GetPosition() ) ); + l = GW_MAX( l, ~( pFace->GetVertex(1)->GetPosition()-pFace->GetVertex(2)->GetPosition() ) ); + if( l<1.2 ) + { + float color[4]; + for( GW_U32 k=0; k<3; ++k ) + { + ComputeColor( *pFace->GetVertex(k), (float*) color ); + glColor3fv( (float*) color); + glNormal( *pFace->GetVertex(k) ); + glTexCoord2d( pFace->GetVertex(k)->GetTexCoordU(), pFace->GetVertex(k)->GetTexCoordV() ); + // glTexCoord( *pFace->GetVertex(0) ); + glVertex( *pFace->GetVertex(k) ); + } + } + } + glEnd(); */ +#endif + } + } + else + { + if( !bProrieties[kForceMonoColor] ) + glColor(GW_Vector3D(1,1,1)); + glBegin(GL_TRIANGLES); + for( GW_U32 i=0; iComputeNormal(); + glNormal(n); + glVertex( *pFace->GetVertex(0) ); + glNormal(n); + glVertex( *pFace->GetVertex(1) ); + glNormal(n); + glVertex( *pFace->GetVertex(2) ); + } + glEnd(); + } + + /* display the edges */ + if( bProrieties[kBoundaries] ) + { + GW_Bool bIsTextureOn = glIsEnabled( GL_TEXTURE_2D ); + glDisable( GL_TEXTURE_2D ); + + glDisable( GL_LIGHTING ); + glColor3f( 1,0,0 ); + glLineWidth( 3 ); + glBegin( GL_LINES ); + for( GW_U32 i = 0; iGetFaceNeighbor(s)==NULL ) + { + GW_Vertex* pVert1 = pFace->GetVertex((s+1)%3); GW_ASSERT( pVert1!=NULL ); + GW_Vertex* pVert2 = pFace->GetVertex((s+2)%3); GW_ASSERT( pVert2!=NULL ); + if( ~(pVert1->GetPosition()-pVert2->GetPosition())<0.2 ) + { + glVertex( pVert1->GetPosition() ); + glVertex( pVert2->GetPosition() ); + } + } + } + } + glEnd(); + glEnable( GL_LIGHTING ); + if( bIsTextureOn ) + glEnable( GL_TEXTURE_2D ); + } + + /* draw the normals and so on */ + if( bProrieties[kNormal] || bProrieties[kMinCurvDirection] || bProrieties[kMaxCurvDirection] ) + { + glDisable(GL_LIGHTING); + glBegin( GL_LINES ); + for( GW_U32 i = 0; iGetFace()!=NULL ) + { + if( bProrieties[kNormal] ) + { + glColor3f( 0,1,0 ); + glVertex( pVert->GetPosition() ); + glVertex( pVert->GetPosition() + pVert->GetNormal()*rVectorScaling_ ); + } + if( bProrieties[kMinCurvDirection] ) + { + glColor3f( 0,0,1 ); + glVertex( pVert->GetPosition() ); + glVertex( pVert->GetPosition() + pVert->GetMinCurvDirection()*rVectorScaling_ ); + } + if( bProrieties[kMaxCurvDirection] ) + { + glColor3f( 1,0,0 ); + glVertex( pVert->GetPosition() ); + glVertex( pVert->GetPosition() + pVert->GetMaxCurvDirection()*rVectorScaling_ ); + } + } + } + glEnd(); + glEnable(GL_LIGHTING); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_BasicDisplayer::DisplayFace +/** + * \param Face [GW_Face&] The face. + * \author Gabriel Peyré + * \date 3-28-2003 + * + * Display a single face. + */ +/*------------------------------------------------------------------------------*/ +void GW_BasicDisplayer::DisplayFace(GW_Face& Face) +{ + GW_Vertex* pVert = NULL; + GW_Vector3D* vect = NULL; + + glBegin( GL_TRIANGLES ); + for( GW_U32 v=0; v<3; ++v ) + { + pVert = Face.GetVertex(v); + glNormal( *pVert ); + glVertex( *pVert ); + } + glEnd(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_BasicDisplayer::ComputeColor +/** + * \param pVert [GW_Vertex&] The vertex. + * \param color [GLfloat*] The color. + * \author Gabriel Peyré + * \date 4-3-2003 + * + * Assign a color to a vertex according to it's curv info. + */ +/*------------------------------------------------------------------------------*/ +void GW_BasicDisplayer::ComputeColor( GW_Vertex& Vert, float* color ) +{ + color[0] = color[1] = color[2] = 0; + if( bProrieties[kMaxCurv] ) + color[0] = (float) GW_SCALE_01(Vert.GetMaxCurv(), aMinValue_[kMaxCurv], aMaxValue_[kMaxCurv]); + if( bProrieties[kGaussianCurv] ) + color[1] = (float) GW_SCALE_01(Vert.GetGaussianCurv(), aMinValue_[kGaussianCurv], aMaxValue_[kGaussianCurv]); + if( bProrieties[kMeanCurv] ) + color[1] = (float) GW_SCALE_01(Vert.GetMeanCurv(), aMinValue_[kMeanCurv], aMaxValue_[kMeanCurv]); + if( bProrieties[kMinCurv] ) + color[2] = (float) 1-GW_SCALE_01(Vert.GetMinCurv(), aMinValue_[kMinCurv], aMaxValue_[kMinCurv]); + if( bProrieties[kMaxAbsCurv] ) + color[0] = color[1] = color[2] = (float) GW_SCALE_01( GW_MAX(GW_ABS(Vert.GetMinCurv()),GW_ABS(Vert.GetMaxCurv())), aMinValue_[kMaxAbsCurv], aMaxValue_[kMaxAbsCurv]); + if( !bProrieties[kMaxCurv] && !bProrieties[kGaussianCurv] && + !bProrieties[kMeanCurv] && !bProrieties[kMinCurv] && !bProrieties[kMaxAbsCurv] ) + color[0] = color[1] = color[2] = 1; + if( pComputeColorCallback_ ) + pComputeColorCallback_(Vert, color); +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_BasicDisplayer::SetUpDraw +/** + * \param Mesh [GW_Mesh&] Mesh to draw. + * \author Gabriel Peyré + * \date 4-3-2003 + * + * Compute the scaling factors for each propriety. + */ +/*------------------------------------------------------------------------------*/ +void GW_BasicDisplayer::SetUpDraw(GW_Mesh& Mesh) +{ +#if 1 + for( GW_U32 i=0; iGetMinCurv(); + aMaxValue_[kMaxCurv] += pVert->GetMaxCurv(); + aMaxValue_[kGaussianCurv] += pVert->GetGaussianCurv(); + aMaxValue_[kMeanCurv] += pVert->GetMeanCurv(); + aMaxValue_[kMaxAbsCurv] += pVert->GetMaxAbsCurv(); + } + aMaxValue_[kMinCurv] /= Mesh.GetNbrVertex(); + aMaxValue_[kMaxCurv] /= Mesh.GetNbrVertex(); + aMaxValue_[kGaussianCurv] /= Mesh.GetNbrVertex(); + aMaxValue_[kMeanCurv] /= Mesh.GetNbrVertex(); + aMaxValue_[kMaxAbsCurv] /= Mesh.GetNbrVertex(); + + /* comute mean deviation and store it in aMinValue_ */ + for( GW_U32 i = 0; iGetMinCurv()-aMaxValue_[kMinCurv])*(pVert->GetMinCurv()-aMaxValue_[kMinCurv]); + aMinValue_[kMaxCurv] += (pVert->GetMaxCurv()-aMaxValue_[kMaxCurv])*(pVert->GetMaxCurv()-aMaxValue_[kMaxCurv]); + aMinValue_[kGaussianCurv] += (pVert->GetGaussianCurv()-aMaxValue_[kGaussianCurv])*(pVert->GetGaussianCurv()-aMaxValue_[kGaussianCurv]); + aMinValue_[kMeanCurv] += (pVert->GetMeanCurv()-aMaxValue_[kMeanCurv])*(pVert->GetMeanCurv()-aMaxValue_[kMeanCurv]); + aMinValue_[kMaxAbsCurv] += (pVert->GetMaxAbsCurv()-aMaxValue_[kMaxAbsCurv])*(pVert->GetMaxAbsCurv()-aMaxValue_[kMaxAbsCurv]); + } + + for( GW_U32 i=0; iGet##name()>aMinValue_[k##name] ) aMinValue_[k##name] = pVert->Get##name(); \ + if( pVert->Get##name()Get##name(); + + for( GW_U32 i = 0; iGetPosition()[0]; + VertexArray_[VCN_OFFSET*i+1+V_OFFSET] = (GLfloat) pVert->GetPosition()[1]; + VertexArray_[VCN_OFFSET*i+2+V_OFFSET] = (GLfloat) pVert->GetPosition()[2]; + VertexArray_[VCN_OFFSET*i+0+N_OFFSET] = (GLfloat) pVert->GetNormal()[0]; + VertexArray_[VCN_OFFSET*i+1+N_OFFSET] = (GLfloat) pVert->GetNormal()[1]; + VertexArray_[VCN_OFFSET*i+2+N_OFFSET] = (GLfloat) pVert->GetNormal()[2]; + VertexArray_[VCN_OFFSET*i+0+T_OFFSET] = (GLfloat) pVert->GetTexCoordU(); + VertexArray_[VCN_OFFSET*i+1+T_OFFSET] = (GLfloat) pVert->GetTexCoordV(); + } + for( GW_U32 i=0; iGetVertex(j); + GW_ASSERT( pVert!=NULL ); + FaceArray_[3*i+j] = pVert->GetID(); + } + } + + this->BuildColorArray( Mesh ); +} + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_BasicDisplayer.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_BasicDisplayer.h.svn-base new file mode 100644 index 0000000..45bb1d6 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_BasicDisplayer.h.svn-base @@ -0,0 +1,137 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_BasicDisplayer.h + * \brief Definition of class \c GW_BasicDisplayer + * \author Gabriel Peyré + * \date 3-28-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_BASICDISPLAYER_H_ +#define _GW_BASICDISPLAYER_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Mesh.h" +#include "GW_OpenGLHelper.h" +#include + + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_BasicDisplayer + * \brief Basic display of a mesh. Can be overloaded. + * \author Gabriel Peyré + * \date 3-28-2003 + * + * Just flush faces to OpenGL. + */ +/*------------------------------------------------------------------------------*/ + +class GW_BasicDisplayer +{ + +public: + + GW_BasicDisplayer(); + virtual ~GW_BasicDisplayer(); + + virtual void DisplayMesh(GW_Mesh& Mesh); + virtual void DisplayFace(GW_Face& Face); + virtual void ComputeColor( GW_Vertex& pVert, float* color ); + virtual void SetUpDraw(GW_Mesh& Mesh); + + #define GW_DISPLAYER_NBR_PTIES 17 + enum T_DisplayerProprieties + { + kNormal, + kMinCurvDirection, + kMaxCurvDirection, + kMinCurv, + kMaxCurv, + kMeanCurv, + kGaussianCurv, + kMaxAbsCurv, + kLighting, + kGeodesicDistance, + kBoundaries, + kMarchingState, + kForceMonoColor, + kVertexParametrization, + kStoppingVertex, + kUseFlatLighting, + kGeodesicDistanceStreamColor, + }; + + GW_Bool GetPropriety( T_DisplayerProprieties Pty ); + + void SetDraw( T_DisplayerProprieties Pty, GW_Bool bVal ); + void EnableDraw( T_DisplayerProprieties Pty ); + void DisableDraw( T_DisplayerProprieties Pty ); + void ToggleDraw( T_DisplayerProprieties Pty ); + + void SetVectorScaling(GW_Float rVectorScaling); + GW_Float GetVectorScaling(); + + void MultiplyContrast( T_DisplayerProprieties Pty, GW_Float Factor ); + void IncreaseContrast( T_DisplayerProprieties Pty, GW_Float Factor = 1.0/1.1f ); + void DecreaseContrast( T_DisplayerProprieties Pty, GW_Float Factor = 1.1f ); + + typedef void (*T_ComputeColorCallback)( GW_Vertex& pVert, float* color ); + void RegisterComputeColorCallback(T_ComputeColorCallback pFunc); + + //------------------------------------------------------------------------- + /** \name Vertex array management. */ + //------------------------------------------------------------------------- + //@{ + void BuildVertexArray( GW_Mesh& Mesh ); + void BuildColorArray( GW_Mesh& Mesh ); + //@} + + +protected: + + /** the OpenGL interleaved array is GL_T2F_C4F_N3F_V3F */ + #define T_OFFSET 0 // texture coords offset + #define C_OFFSET 2 // color offset + #define N_OFFSET 6 // texture offset + #define V_OFFSET 9 // vertex offset + #define VCN_OFFSET 12 // total size + + GW_Bool bProrieties[GW_DISPLAYER_NBR_PTIES]; + + GW_Float aMinValue_[GW_DISPLAYER_NBR_PTIES]; + GW_Float aMaxValue_[GW_DISPLAYER_NBR_PTIES]; + + GW_Float rVectorScaling_; + + /** OpenGL vertex arrays management */ + GLfloat* VertexArray_; + GLuint* FaceArray_; + GW_U32 nNbrVertex_; + GW_U32 nNbrFace_; + + /** a callback for vertex color display */ + T_ComputeColorCallback pComputeColorCallback_; + +}; + + + +} // End namespace GW + + +#ifdef GW_USE_INLINE + #include "GW_BasicDisplayer.inl" +#endif + +#endif // _GW_BASICDISPLAYER_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_BasicDisplayer.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_BasicDisplayer.inl.svn-base new file mode 100644 index 0000000..142bd4f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_BasicDisplayer.inl.svn-base @@ -0,0 +1,253 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_BasicDisplayer.inl + * \brief Inlined methods for \c GW_BasicDisplayer + * \author Gabriel Peyré + * \date 4-6-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_BasicDisplayer.h" + +namespace GW { + + +/*------------------------------------------------------------------------------*/ +// Name : GW_BasicDisplayer constructor +/** +* \author Gabriel Peyré +* \date 4-3-2003 +* +* Constructor. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_BasicDisplayer::GW_BasicDisplayer() +: rVectorScaling_ ( 0.1f ), + VertexArray_ ( NULL ), + FaceArray_ ( NULL ), + pComputeColorCallback_ ( NULL ) +{ + for( GW_U32 i=0; iMultiplyContrast( Pty, Factor ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_BasicDisplayer::MultiplyContrast +/** +* \param Pty [T_DisplayerProprieties] The propriety. +* \param Factor [GW_Float] The scaling factor. +* \author Gabriel Peyré +* \date 4-6-2003 +* +* Multiply the contrast of a given display propriety +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_BasicDisplayer::DecreaseContrast( T_DisplayerProprieties Pty, GW_Float Factor ) +{ + this->MultiplyContrast( Pty, Factor ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_BasicDisplayer::RegisterComputeColorCallback +/** + * \param pFunc [T_ComputeColorCallback] User function. + * \author Gabriel Peyré + * \date 5-20-2003 + * + * The user can override the color computations of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_BasicDisplayer::RegisterComputeColorCallback(T_ComputeColorCallback pFunc) +{ + pComputeColorCallback_ = pFunc; +} + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_CSVLoader.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_CSVLoader.h.svn-base new file mode 100644 index 0000000..233e98e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_CSVLoader.h.svn-base @@ -0,0 +1,108 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_CSVLoader.h + * \brief Definition of class \c GW_CSVLoader + * \author Gabriel Peyré + * \date 6-26-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_CSVLOADER_H_ +#define _GW_CSVLOADER_H_ + +#include "../gw_core/GW_Config.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_CSVLoader + * \brief A comma separating file loader. + * \author Gabriel Peyré + * \date 6-26-2003 + * + * Store the vertex and the faces in different files. + */ +/*------------------------------------------------------------------------------*/ + +class GW_CSVLoader +{ + +public: + + static GW_I32 LoadVertex( GW_Mesh& Mesh, const char *name ) + { + FILE* pFile = NULL; + + pFile = fopen( "test.txt", "rt" ); + float Vect[3]; + fscanf(pFile, "%f", &Vect[0] ); + + pFile = fopen( name, "rt" ); + if( pFile ==NULL ) + return GW_Error_Opening_File; + + GW_U32 nNbrVertex = 0; + + while( !feof(pFile) ) + { + nNbrVertex++; + fscanf(pFile, "%f,%f,%f", &Vect[0], &Vect[1], &Vect[2] ); + } + fclose( pFile ); + pFile = fopen( name, "rt" ); + if( pFile ==NULL ) + return GW_Error_Opening_File; + if( nNbrVertex!=Mesh.GetNbrVertex() ) + Mesh.SetNbrVertex( nNbrVertex ); + for( GW_U32 i=0; iSetPosition( GW_Vector3D((float) Vect[0], (float) Vect[1], (float) Vect[2]) ); + } + + fclose( pFile ); + + return GW_OK; + } + + static GW_I32 SaveVertex( GW_Mesh& Mesh, const char *name ) + { + FILE* pFile = NULL; + pFile = fopen( name, "wt" ); + if( pFile ==NULL ) + return GW_Error_Opening_File; + + for( GW_U32 i=0; iGetPosition(); + fprintf(pFile, " %f,%f,%f", Pos[0], Pos[1], Pos[2] ); + if( i!=Mesh.GetNbrVertex() ) + fprintf(pFile, " \n"); + } + + fclose( pFile ); + + return GW_OK; + } + +private: + +}; + +} // End namespace GW + + +#endif // _GW_CSVLOADER_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_GeodesicDisplayer.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_GeodesicDisplayer.cpp.svn-base new file mode 100644 index 0000000..33c6817 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_GeodesicDisplayer.cpp.svn-base @@ -0,0 +1,422 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicDisplayer.cpp + * \brief Definition of class \c GW_GeodesicDisplayer + * \author Gabriel Peyré + * \date 4-10-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_GeodesicDisplayer.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_GeodesicDisplayer.h" +#include + +#ifndef GW_USE_INLINE + #include "GW_GeodesicDisplayer.inl" +#endif + +#include "GW_Toolkit.h" + +using namespace GW; + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicDisplayer constructor +/** + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_GeodesicDisplayer::GW_GeodesicDisplayer() +: rColorStreamFixedRadius_ (-1) +{ + /* init the color stream */ + for( GW_U32 i=0; iGetDistance()GetDistance()GetDistance(); + if( pVert->GetDistance()>aMaxValue_[kGeodesicDistance] ) + aMaxValue_[kGeodesicDistance] = pVert->GetDistance(); + } + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicDisplayer::AddFrontColor +/** + * \param VertFront [GW_Vertex&] The vertex from wich the front started. + * \param Color [GW_Vector3D&] The color. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Add a color to display a given front. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicDisplayer::AddFrontColor( GW_Vertex& VertFront, GW_Vector3D& Color ) +{ + GW_U32 nID = VertFront.GetID(); + VertexColorMap_[nID] = Color; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicDisplayer::RemoveFrontColor +/** + * \param VertFront [GW_Vertex&] The front. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Remove a colorization. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicDisplayer::RemoveFrontColor( GW_Vertex& VertFront ) +{ + VertexColorMap_.erase( VertFront.GetID() ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicDisplayer::ResetFrontColor +/** + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Remove all colors. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicDisplayer::ResetFrontColor() +{ + VertexColorMap_.clear(); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicDisplayer::ComputeColor +/** +* \param pVert [GW_Vertex&] The vertex. +* \param color [GLfloat*] The color. +* \author Gabriel Peyré +* \date 4-3-2003 +* +* Assign a color to a vertex according to it's curv info. +*/ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicDisplayer::ComputeColor( GW_Vertex& Vert, float* color ) +{ + GW_GeodesicVertex& GeoVert = (GW_GeodesicVertex&) Vert; + GW_BasicDisplayer::ComputeColor( Vert, color ); + if( bProrieties[kGeodesicDistance] ) + { + if( GeoVert.GetDistance()GetID(); + if( VertexColorMap_.find(nID)!=VertexColorMap_.end() ) + { + GW_Vector3D colvect = VertexColorMap_[nID]; + color[0] = (GLfloat) colvect[0]*(1-dist); + color[1] = (GLfloat) colvect[1]*(1-dist); + color[2] = (GLfloat) colvect[2]*(1-dist); + } + else + { + /* no colorisation was provided for this front */ + color[0] = color[1] = color[2] = 1-dist; + } + if( bProrieties[kGeodesicDistanceStreamColor] ) + { + GW_Float max = aMaxValue_[kGeodesicDistance]; + if( rColorStreamFixedRadius_>0 ) + max = rColorStreamFixedRadius_; + GW_Vector3D colvect = this->GetStreamColor( GeoVert.GetDistance(), max ); + color[0] = (GLfloat) colvect[0]; + color[1] = (GLfloat) colvect[1]; + color[2] = (GLfloat) colvect[2]; + } + } + } + if( bProrieties[kMarchingState] ) + { + + if( GeoVert.GetState()==GW_GeodesicVertex::kAlive ) + { + GW_Vector3D TheColor(1,0,0); // default color = red + GW_ASSERT(GeoVert.GetFront()!=NULL); + GW_U32 nID = GeoVert.GetFront()->GetID(); + if( VertexColorMap_.find(nID)!=VertexColorMap_.end() ) + TheColor = VertexColorMap_[nID]; + color[0] = (float) TheColor[0]*0.5f; + color[1] = (float) TheColor[1]*0.5f; + color[2] = (float) TheColor[2]*0.5f; + } + if( GeoVert.GetState()==GW_GeodesicVertex::kDead ) + { + GW_Vector3D TheColor(1,0,0); // default color = red + GW_ASSERT(GeoVert.GetFront()!=NULL); + GW_U32 nID = GeoVert.GetFront()->GetID(); + if( VertexColorMap_.find(nID)!=VertexColorMap_.end() ) + TheColor = VertexColorMap_[nID]; + color[0] = (float) TheColor[0]; + color[1] = (float) TheColor[1]; + color[2] = (float) TheColor[2]; + } + } + if( bProrieties[kVertexParametrization] ) + { +#if 1 + GW_U32 nNbrParameter = 0; + GW_Vector3D Color; + for( GW_U32 i=0; i<3; ++i ) + { + GW_Float rParam = 0; + GW_VoronoiVertex* pParamVert = GeoVert.GetParameterVertex( i, rParam ); + if( pParamVert!=NULL ) + { + GW_U32 nID = pParamVert->GetBaseVertex()->GetID(); + if( VertexColorMap_.find(nID)!=VertexColorMap_.end() ) + { + Color += VertexColorMap_[nID]*rParam; + nNbrParameter++; + } + } + } + color[0] = (float) Color[0]; + color[1] = (float) Color[1]; + color[2] = (float) Color[2]; + Color /= nNbrParameter; +#else + for( GW_U32 i=0; i<3; ++i ) + { + GW_Float rParam; + GW_VoronoiVertex* pParamVert = GeoVert.GetParameterVertex( i, rParam ); + if( pParamVert!=NULL ) + color[i] = (float) rParam; + else + color[i] = 0; + } +#endif + } + if( bProrieties[kStoppingVertex] && GeoVert.GetIsStoppingVertex() ) + { + color[0] = color[2] = 0; + color[1] = 1; + } + +#if 0 // just for debugging + T_GeodesicVertexList& VertList = GW_Toolkit::GetStartVertex(); + if( !VertList.empty() ) + { + GW_GeodesicVertex* pVert = VertList.front(); + GW_Float rDist = ~(pVert->GetPosition() - GeoVert.GetPosition()); + rDist = GW_ABS( rDist - GeoVert.GetDistance() ); + color[0] = color[1] = color[2] = rDist*5; + } +#endif +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicDisplayer::DisplayPath +/** + * \param CurPath [GW_GeodesicPath&] The path. + * \param Color [GW_Vertex&] The color. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Display a path. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicDisplayer::DisplayPath( GW_GeodesicPath& CurPath, GW_Vector3D& Color, GW_Float rLineWidth ) +{ + glLineWidth( (GLfloat) rLineWidth ); + glPointSize( (GLfloat) rLineWidth ); + T_GeodesicPointList& PointList = CurPath.GetPointList(); + glDisable( GL_LIGHTING ); + glColor( Color ); + glBegin( GL_LINE_STRIP ); + for( IT_GeodesicPointList it = PointList.begin(); it!=PointList.end(); ++it ) + { + GW_GeodesicPoint* pPoint = *it; + GW_ASSERT( pPoint->GetVertex1()!=NULL ); + GW_ASSERT( pPoint->GetVertex2()!=NULL ); + GW_Vector3D Pos = pPoint->GetVertex1()->GetPosition()*pPoint->GetCoord() + + pPoint->GetVertex2()->GetPosition()*(1-pPoint->GetCoord()); + glColor( Color ); + glVertex( Pos ); + GW_GeodesicFace* pFace = pPoint->GetCurFace(); + GW_ASSERT( pFace!=NULL ); + T_SubPointVector& SubPointVector = pPoint->GetSubPointVector(); + GW_Vector3D& v0 = pPoint->GetVertex1()->GetPosition(); + GW_Vector3D& v1 = pPoint->GetVertex2()->GetPosition(); + GW_Vertex* pLastVert = pFace->GetVertex( *pPoint->GetVertex1(), *pPoint->GetVertex2() ); + GW_ASSERT( pLastVert!=NULL ); + GW_Vector3D& v2 = pLastVert->GetPosition(); + for( IT_SubPointVector it=SubPointVector.begin(); it!=SubPointVector.end(); ++it ) + { + GW_Vector3D& coord = *it; + Pos = v0*coord[0] + v1*coord[1] + v2*coord[2]; + glVertex( Pos ); + } + } + glEnd(); +#if 0 + glColor3f( 0,0,0 ); + glPointSize(4); + glBegin( GL_POINTS ); + for( IT_GeodesicPointList it = PointList.begin(); it!=PointList.end(); ++it ) + { + GW_GeodesicPoint* pPoint = *it; + GW_ASSERT( pPoint->GetVertex1()!=NULL ); + GW_ASSERT( pPoint->GetVertex2()!=NULL ); + GW_Vector3D Pos = pPoint->GetVertex1()->GetPosition()*pPoint->GetCoord() + + pPoint->GetVertex2()->GetPosition()*(1-pPoint->GetCoord()); + glVertex( Pos ); + GW_GeodesicFace* pFace = pPoint->GetCurFace(); + GW_ASSERT( pFace!=NULL ); + T_SubPointVector& SubPointVector = pPoint->GetSubPointVector(); + GW_Vector3D& v0 = pPoint->GetVertex1()->GetPosition(); + GW_Vector3D& v1 = pPoint->GetVertex2()->GetPosition(); + GW_Vertex* pLastVert = pFace->GetVertex( *pPoint->GetVertex1(), *pPoint->GetVertex2() ); + GW_ASSERT( pLastVert!=NULL ); + GW_Vector3D& v2 = pLastVert->GetPosition(); + for( IT_SubPointVector it=SubPointVector.begin(); it!=SubPointVector.end(); ++it ) + { + GW_Vector3D& coord = *it; + Pos = v0*coord[0] + v1*coord[1] + v2*coord[2]; + glVertex( Pos ); + } + } + glEnd(); + + glEnable( GL_LIGHTING ); + glLineWidth( 1 ); +#endif +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicDisplayer::DisplayGeodesicBoundaries +/** + * \param VoronoiMesh [GW_VoronoiMesh&] The mesh. + * \param Color [GW_Vector3D&] The color. + * \param rLineWidth [GW_Float] Width of the lines. + * \author Gabriel Peyré + * \date 4-23-2003 + * + * Display each boundaries of the voronoi mesh. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicDisplayer::DisplayGeodesicBoundaries( GW_VoronoiMesh& VoronoiMesh, GW_Vector3D& Color, GW_Float rLineWidth ) +{ + glLineWidth( (GLfloat) rLineWidth ); + T_VertexPathMap& BoundariesMap = VoronoiMesh.GetGeodesicBoundariesMap(); + for( IT_VertexPathMap it=BoundariesMap.begin(); it!=BoundariesMap.end(); ++it ) + { + T_GeodesicVertexList* pList = it->second; + GW_ASSERT( pList!=NULL ); + glDisable( GL_LIGHTING ); + glColor( Color ); + glBegin( GL_LINE_STRIP ); + for( IT_GeodesicVertexList VertIt = pList->begin(); VertIt!=pList->end(); ++VertIt ) + { + GW_GeodesicVertex* pVert = *VertIt; + GW_ASSERT( pVert!=NULL ); + glVertex( *pVert ); + } + glEnd(); + glEnable( GL_LIGHTING ); + } + glLineWidth( 1 ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicDisplayer::DisplayVoronoiPoints +/** + * \param VoronoiMesh [GW_VoronoiMeshBuilder&] The mesh builder. + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Display the set of points of the builder. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicDisplayer::DisplayVoronoiPoints( GW_VoronoiMesh& VoronoiMesh, GW_Vector3D& Color, GW_Float rPointSize ) +{ + GW_Bool bIsTextureOn = glIsEnabled( GL_TEXTURE_2D ); + glDisable( GL_TEXTURE_2D ); + + T_GeodesicVertexList BaseVertexList = VoronoiMesh.GetBaseVertexList(); + glPointSize( (GLfloat) rPointSize ); + glColor( Color ); + glDisable( GL_LIGHTING ); + glBegin( GL_POINTS ); + for( IT_GeodesicVertexList it = BaseVertexList.begin(); it!=BaseVertexList.end(); ++it ) + { + GW_GeodesicVertex* pVert = *it; + glVertex( pVert->GetPosition() ); + } + glEnd(); + glEnable( GL_LIGHTING ); + + if( bIsTextureOn ) + glEnable( GL_TEXTURE_2D ); +} + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_GeodesicDisplayer.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_GeodesicDisplayer.h.svn-base new file mode 100644 index 0000000..161f808 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_GeodesicDisplayer.h.svn-base @@ -0,0 +1,101 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicDisplayer.h + * \brief Definition of class \c GW_GeodesicDisplayer + * \author Gabriel Peyré + * \date 4-10-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_GEODESICDISPLAYER_H_ +#define _GW_GEODESICDISPLAYER_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_geodesic/GW_GeodesicMesh.h" +#include "../gw_geodesic/GW_GeodesicPath.h" +#include "GW_BasicDisplayer.h" +#include "../gw_geodesic/GW_VoronoiMesh.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_Vector3D */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_VertexColorMap; +typedef T_VertexColorMap::iterator IT_VertexColorMap; +typedef T_VertexColorMap::reverse_iterator RIT_VertexColorMap; +typedef T_VertexColorMap::const_iterator CIT_VertexColorMap; +typedef T_VertexColorMap::const_reverse_iterator CRIT_VertexColorMap; +//@} + + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_GeodesicDisplayer + * \brief Display information about geodesic computations. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Use geodesic value to draw the mesh. + */ +/*------------------------------------------------------------------------------*/ + +class GW_GeodesicDisplayer: public GW_BasicDisplayer +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_GeodesicDisplayer(); + //@} + + virtual void ComputeColor( GW_Vertex& pVert, float* color ); + virtual void SetUpDraw(GW_Mesh& Mesh); + + void DisplayPath( GW_GeodesicPath& CurPath, GW_Vector3D& Color = GW_Vector3D(1,1,1), GW_Float rLineWidth = 2.0f ); + void DisplayVoronoiPoints( GW_VoronoiMesh& MeshBuilder, GW_Vector3D& Color = GW_Vector3D(0,0,0), GW_Float rPointSize = 6.0f ); + void DisplayGeodesicBoundaries( GW_VoronoiMesh& VoronoiMesh, GW_Vector3D& Color = GW_Vector3D(0,0,0), GW_Float rLineWidth = 2.0f ); + + void AddFrontColor( GW_Vertex& VertFront, GW_Vector3D& Color ); + void RemoveFrontColor( GW_Vertex& VertFront ); + void ResetFrontColor(); + + GW_Vector3D GetStreamColor( GW_Float val, GW_Float max ); + void SetColorStreamFixedRadius( GW_Float val ); + GW_Float GetMaxGeodesicDistance() + { return aMaxValue_[kGeodesicDistance]; } + GW_Float GetColorStreamFixedRadius() + { return rColorStreamFixedRadius_; } + +private: + + T_VertexColorMap VertexColorMap_; + + + /** color strem management */ + #define COLOR_STREAM_SIZE 100 + GW_Vector3D ColorStream_[COLOR_STREAM_SIZE+1]; + GW_Float rColorStreamFixedRadius_; + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_GeodesicDisplayer.inl" +#endif + + +#endif // _GW_GEODESICDISPLAYER_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_GeodesicDisplayer.inl.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_GeodesicDisplayer.inl.svn-base new file mode 100644 index 0000000..d7ba072 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_GeodesicDisplayer.inl.svn-base @@ -0,0 +1,39 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicDisplayer.inl + * \brief Inlined methods for \c GW_GeodesicDisplayer + * \author Gabriel Peyré + * \date 4-10-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_GeodesicDisplayer.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicDisplayer::SetColorStreamFixedRadius +/** + * \param val [GW_Float] <0 => scale the stream to the current distance map. + * \author Gabriel Peyré + * \date 9-29-2003 + * + * Set the length of the stream. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicDisplayer::SetColorStreamFixedRadius( GW_Float val ) +{ + rColorStreamFixedRadius_ = val; +} + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_InputOutput.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_InputOutput.cpp.svn-base new file mode 100644 index 0000000..cb43bb1 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_InputOutput.cpp.svn-base @@ -0,0 +1,50 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_InputOutput.cpp + * \brief Definition of class \c GW_InputOutput + * \author Gabriel Peyré + * \date 6-25-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + const char* sccsid = "@(#) GW_InputOutput.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_InputOutput.h" + +using namespace GW; + + +GW_Bool GW_InputOutput::bSpinning = GW_False; +GW_Bool GW_InputOutput::bMoving = GW_False; +GW_I32 GW_InputOutput::nBeginX; +GW_I32 GW_InputOutput::nBeginY; +GW_I32 GW_InputOutput::rWidth = 300; +GW_I32 GW_InputOutput::rHeight = 300; +GLdouble GW_InputOutput::rAspectRatio; +float GW_InputOutput::curquat[4]; +float GW_InputOutput::lastquat[4]; +TB_Vector GW_InputOutput::eyePos = { 0.0, 0.0, 3.0 }; +GW_Float GW_InputOutput::rZoom = 10; +GW_Bool GW_InputOutput::bZooming = GW_False; +GW_Bool GW_InputOutput::bTranslating = GW_False; +GW_I32 GW_InputOutput::nMouseY = 0; +GW_I32 GW_InputOutput::nMouseX = 0; +GW_U32 GW_InputOutput::ZOOM_MAX = 2000; +GW_Float GW_InputOutput::ZOOM_FACTOR = 0.2f; +GW_Float GW_InputOutput::ROT_SPEED = 0.3f; +GW_Float GW_InputOutput::BACKGROUND_COLOR = 1; +GW_Vector3D GW_InputOutput::TargetPosition_; +GW_Bool GW_InputOutput::bLeftButton_ = GW_False; +GW_Bool GW_InputOutput::bRightButton_ = GW_False; +GW_Float GW_InputOutput::TRANS_FACTOR = 0.00006; +GW_InputOutput::T_IdleFunc GW_InputOutput::IdleCallback_ = GW_InputOutput::DefaultIdle; + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_InputOutput.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_InputOutput.h.svn-base new file mode 100644 index 0000000..0b9056c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_InputOutput.h.svn-base @@ -0,0 +1,325 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_InputOutput.h + * \brief Definition of class \c GW_InputOutput + * \author Gabriel Peyré + * \date 6-25-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_INPUTOUTPUT_H_ +#define _GW_INPUTOUTPUT_H_ + +#include "../gw_core/GW_Config.h" +#include "trackball.h" +#include + +#ifdef GW_DEBUG + #pragma comment(lib, "glut32.lib") +#else + #pragma comment(lib, "glut32.lib") +#endif // GW_DEBUG + + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_InputOutput + * \brief A minimalistic helper that use \c GLUT. + * \author Gabriel Peyré + * \date 6-25-2003 + * + * Just handle mouse. + */ +/*------------------------------------------------------------------------------*/ + +class GW_InputOutput +{ + +public: + + typedef void (*T_IdleFunc)(); + static void DefaultIdle() + { + if( bSpinning ) + add_quats(lastquat, curquat, curquat); + glutPostRedisplay(); + } + + static void SetIdleCallback( T_IdleFunc NewFunc ) + { + IdleCallback_ = NewFunc; + } + + static void Reshape( int w, int h ) + { + if( h!=0 ) + { + glViewport( 0, 0, w, h ); + glMatrixMode( GL_PROJECTION ); + glLoadIdentity(); + gluPerspective(30,w/h,1.5,50000); + glMatrixMode( GL_MODELVIEW ); + glLoadIdentity(); + rWidth = w; + rHeight = h; + rAspectRatio = (GLdouble) rWidth/(GLdouble) rHeight; + } + } + + /*------------------------------------------------------------------------------*/ + // Name : mouse + /** + * \param x [GW::GW_I32] x position of the pointer. + * \param y [GW::GW_I32] y position of the pointer. + * \author Gabriel Peyré + * \date 11-24-2002 + * + * To handle mouse movements. + */ + /*------------------------------------------------------------------------------*/ + static void MouseMotion(int x, int y) + { + if( bTranslating ) + { + GW_Float rTranslationX = -rZoom*TRANS_FACTOR*( x-nMouseX ); + GW_Float rTranslationY = rZoom*TRANS_FACTOR*( y-nMouseY ); + GW_InputOutput::MoveTarget( rTranslationX, rTranslationY ); + } + else if( bMoving ) + { + trackball(lastquat, + ROT_SPEED*(2.0 * nBeginX - rWidth) / rWidth, + ROT_SPEED*(rHeight - 2.0 * nBeginY) / rHeight, + ROT_SPEED*(2.0 * x - rWidth) / rWidth, + ROT_SPEED*(rHeight - 2.0 * y) / rHeight + ); + nBeginX = x; + nBeginY = y; + bSpinning = 1; + glutIdleFunc(IdleCallback_); + } + else if( bZooming ) + { + rZoom += ZOOM_FACTOR*( y-nMouseY ); + if( rZoom<=0 ) + rZoom=0; + if( rZoom>=ZOOM_MAX ) + rZoom=ZOOM_MAX; + } + } + + static void MouseClick( int button , int state , int x , int y ) + { + bTranslating = GW_False; + if( button == GLUT_RIGHT_BUTTON && state == GLUT_DOWN ) + bRightButton_ = GW_True; + if( button == GLUT_RIGHT_BUTTON && state == GLUT_UP ) + bRightButton_ = GW_False; + if( button == GLUT_LEFT_BUTTON && state == GLUT_DOWN ) + bLeftButton_ = GW_True; + if( button == GLUT_LEFT_BUTTON && state == GLUT_UP ) + bLeftButton_ = GW_False; + + if( bLeftButton_ && bRightButton_ ) + bTranslating = GW_True; + else if( bRightButton_ ) + { + bTranslating = GW_False; + bSpinning = 0; + trackball(lastquat, 0, 0, 0, 0); + glutIdleFunc(NULL); + bMoving = 1; + nBeginX = x; + nBeginY = y; + } + else if( !bRightButton_ && !bLeftButton_) + { + bTranslating = GW_False; + bMoving = 0; + } + else if( bLeftButton_ ) + { + bTranslating = GW_False; + bZooming = GW_True; + } + else if( !bLeftButton_ ) + { + bTranslating = GW_False; + bZooming = GW_False; + } + nMouseY = y; + nMouseX = x; + } + + static void MousePassive( int x , int y ) + { + nMouseY = y; + nMouseX = x; + } + + + static void Init( int argc, char *argv[], GW_U32 nWindowsSize = 100, const char* windowsname = "GW -- Test application" ) + { + srand( (unsigned) time( NULL ) ); + /* init the fast sqrt table */ + makeInverseSqrtLookupTable(); + /* init the track ball */ + trackball(curquat, -0.5, 0.0, 0.0, 0.0); + + glutInit( &argc , argv ); + glutInitDisplayMode(GLUT_DOUBLE | GLUT_RGB | GLUT_DEPTH); + glutInitWindowSize( nWindowsSize, nWindowsSize ) ; + glutInitWindowPosition( 100, 100 ) ; + glutCreateWindow( windowsname ); + + glutMotionFunc( MouseMotion ); + glutMouseFunc( MouseClick ); + glutIdleFunc( IdleCallback_ ); + glutReshapeFunc( Reshape ); + + /* init opengl */ + glEnable( GL_DEPTH_TEST ); + glEnable( GL_CULL_FACE ); + glCullFace( GL_BACK ); + + /* load light */ + GLfloat light_color[4] = {0.3,0.3,0.3,1}; + glLightfv( GL_LIGHT0, GL_AMBIENT, light_color ); + glLightfv( GL_LIGHT0, GL_DIFFUSE, light_color ); + glLightfv( GL_LIGHT0, GL_SPECULAR, light_color ); + glEnable( GL_LIGHTING ); + glEnable( GL_LIGHT0 ); + glDisable( GL_NORMALIZE ); + + /* for line display */ + glEnable(GL_POLYGON_OFFSET_FILL); + glPolygonOffset(3,3); + + glClearColor( BACKGROUND_COLOR,BACKGROUND_COLOR,BACKGROUND_COLOR,BACKGROUND_COLOR ); + + } + + static void PrepareDisplay() + { + + glClear( GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT ); + glLoadIdentity(); + + GLfloat m[4][4]; + GLfloat invm[4][4]; + // TB_Vector objectSpaceLightPosition; + TB_Vector objectSpaceEyePosition; + + /* Given the current rotation quaternion, generate the matching rotation + matrix and combine it with the modelview matrix. */ + build_rotmatrix(m, curquat); + + /* Because we know that "m" is a rotation matrix, we could just + perform a tranpose here, but for an arbitrary matrix, we + need a full matrix inversion. */ + invertMatrixf(&invm[0][0], &m[0][0]); + + /* Transform the light position in world space into object space + using the inverse of the object space to world space transform. */ + transformPosition(&objectSpaceEyePosition, &eyePos, invm); + + /* Load a persepctive projection normally. */ + glMatrixMode(GL_PROJECTION); + glLoadIdentity(); + gluPerspective( /* field of view in degree */ 40.0, + /* aspect ratio */ rAspectRatio, + /* Z near */ 1.0, /* Z far */ 500.0f); + + GLdouble eyeLookAt[16]; + /* Compute a "look at" 4x4 matrix with the "eye" at the eye position. */ + buildLookAtMatrix(eyePos.x, eyePos.y, eyePos.z, 0,0,0, 0,1,0, eyeLookAt); + glMatrixMode(GL_MODELVIEW); + glTranslatef( -TargetPosition_[0], -TargetPosition_[1], -TargetPosition_[2] ); + glMultMatrixd(eyeLookAt); + + /* posit light */ + glTranslatef(0,0,-rZoom); + glMultMatrixf(&m[0][0]); + GLfloat light_position[4] = { 8,8,0,1 }; + glLightfv( GL_LIGHT0 , GL_POSITION, light_position ) ; + } + + static void TranslateTarget( GW_Vector3D& tr ) + { + TargetPosition_ += tr; + } + static void MoveTarget( GW_Float x, GW_Float y ) // moving in the "look at" plane + { + TargetPosition_[0] += x; + TargetPosition_[1] += y; + } + +#define CAM_FILE "param.svg" + static void SaveCameraSettings() + { + FILE* pFile = fopen( CAM_FILE, "wt" ); + if( pFile==NULL ) + return; + fprintf( pFile, "cur_quat=%f,%f,%f,%f\n", curquat[0], curquat[1], curquat[2], curquat[3] ); + fprintf( pFile, "eye_pos=%f,%f,%f\n", eyePos.x, eyePos.y, eyePos.z ); + fprintf( pFile, "zoom=%f\n", (float) rZoom ); + fclose( pFile ); + } + static void LoadCameraSettings() + { + FILE* pFile = fopen( CAM_FILE, "rt" ); + if( pFile==NULL ) + return; + fscanf( pFile, "cur_quat=%f,%f,%f,%f\n", & curquat[0], & curquat[1], & curquat[2], & curquat[3] ); + fscanf( pFile, "eye_pos=%f,%f,%f\n", & eyePos.x, & eyePos.y, & eyePos.z ); + float zoom; + fscanf( pFile, "zoom=%f\n", &zoom ); + rZoom = zoom; + fclose( pFile ); + } + + static void RotateView(GW_Float phi, float a[3]) + { + float q[4]; + axis_to_quat(a, phi, q); + add_quats(q, curquat, curquat); + } + +private: + + /** for the interface */ + static GW_Bool bLeftButton_, bRightButton_; + static GW_Bool bSpinning, bMoving; + static GW_I32 nBeginX, nBeginY; + static GW_I32 rWidth, rHeight; + static GLdouble rAspectRatio; + static float curquat[4]; + static float lastquat[4]; + static TB_Vector eyePos; + static GW_Float rZoom; + static GW_Bool bZooming, bTranslating; + static GW_I32 nMouseY, nMouseX; + static GW_U32 ZOOM_MAX; + static GW_Float TRANS_FACTOR; + static GW_Float ZOOM_FACTOR; + static GW_Float ROT_SPEED; + static GW_Float BACKGROUND_COLOR; + static GW_Vector3D TargetPosition_; + + static T_IdleFunc IdleCallback_; + +}; + +} // End namespace GW + + +#endif // _GW_INOUTOUTPUT_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_OBJLoader.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_OBJLoader.cpp.svn-base new file mode 100644 index 0000000..eaaf5c8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_OBJLoader.cpp.svn-base @@ -0,0 +1,223 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_OBJLoader.cpp + * \brief Definition of class \c GW_OBJLoader + * \author Gabriel Peyré + * \date 5-20-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_OBJLoader.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_OBJLoader.h" + + +using namespace GW; + + +/*------------------------------------------------------------------------------*/ +// Name : GW_OBJLoader::Load +/** +* \param Mesh [GW_Mesh&] Mash to load data to. +* \param name [char*] File name. +* \return [GW_I32] >0 : loading successful. +* \author Gabriel Peyré +* \date 4-1-2003 +* +* Load data from a .PLY file. +*/ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_OBJLoader::Load(GW_Mesh& Mesh, const char *name, const char* mode, GW_Bool bFlipFaces) +{ + FILE* pFile = NULL; + pFile = fopen( name, mode ); + if( pFile ==NULL ) + return GW_Error_Opening_File; + + char data[255]; + GW_U32 nTemp = 0; + + typedef std::list T_Vector3DList; + typedef T_Vector3DList::iterator IT_Vector3DList; + typedef GW_VectorStatic<3,GW_I32> T_U32Vector; + typedef std::list T_U32VectorList; + typedef T_U32VectorList::iterator IT_U32VectorList; + T_Vector3DList vertex_list; + T_Vector3DList normal_list; + T_Vector2DList texture_list; + T_U32VectorList face_list; + + float Vect[3]; + + GW_Bool bLoadingVertex = GW_False; + GW_I32 nVertOffset = 0; + GW_I32 nFutureOffset = 0; + + while( !feof(pFile) ) + { + fscanf(pFile, "%s", &data); + + if( strcmp(data, "v")==0 ) + { + if( !bLoadingVertex ) + nVertOffset = nFutureOffset; + bLoadingVertex = GW_True; + /* begin to read the data */ + fscanf(pFile, "%f %f %f", &Vect[0], &Vect[1], &Vect[2] ); + vertex_list.push_back( GW_Vector3D(Vect[0], Vect[1], Vect[2]) ); + } + else + { + // record offset + if( bLoadingVertex ) + { + bLoadingVertex = GW_False; + nFutureOffset = (GW_U32) vertex_list.size(); + } + } + + + if( strcmp(data, "vt")==0 ) + { + /* begin to read the data */ + fscanf(pFile, "%f %f", &Vect[0], &Vect[1] ); + texture_list.push_back( GW_Vector2D(Vect[0], Vect[1]) ); + } + else if( strcmp(data, "vn")==0 ) + { + /* begin to read the data */ + fscanf(pFile, "%f %f %f", &Vect[0], &Vect[1], &Vect[2] ); + normal_list.push_back( GW_Vector3D(Vect[0], Vect[1], Vect[2]) ); + } + else if( strcmp(data, "f")==0 ) + { + T_U32Vector f; + fscanf(pFile, "%u/%u/%u %u/%u/%u %u/%u/%u", &f[0], &nTemp, &nTemp, + &f[1], &nTemp, &nTemp, &f[2], &nTemp, &nTemp ); + /* f[0] += nVertOffset-1; + f[1] += nVertOffset-1; + f[2] += nVertOffset-1; */ + f[0] -= 1; + f[1] -= 1; + f[2] -= 1; + if( f[0]>=0 ) + face_list.push_back( f ); + } + else // swap the line + { + fgets(data, 100, pFile); + } + } + fclose(pFile); + + + GW_U32 nNbrVertex = (GW_U32) vertex_list.size(); + GW_U32 nNbrFace = (GW_U32) face_list.size(); + GW_Bool bUseTexture = GW_False; + if( texture_list.size()==nNbrVertex ) + bUseTexture = GW_True; + GW_Bool bUseNormal = GW_False; + if( normal_list.size()==nNbrVertex ) + bUseNormal = GW_True; + + Mesh.SetNbrVertex( nNbrVertex ); + Mesh.SetNbrFace( nNbrFace ); + + // set up vertices + IT_Vector3DList it_vertex = vertex_list.begin(); + IT_Vector2DList it_texture = texture_list.begin(); + IT_Vector3DList it_normal = normal_list.begin(); + GW_Vector2D texture; + GW_Vector3D pos; + GW_Vector3D normal; + GW_U32 num = 0; + while( it_vertex!=vertex_list.end() ) + { + pos = *it_vertex; + it_vertex++; + if( bUseTexture ) + { + texture = *it_texture; + it_texture++; + } + if( bUseNormal ) + { + normal = *it_normal; + it_normal++; + } + GW_Vertex& vert = Mesh.CreateNewVertex(); + Mesh.SetVertex( num, &vert ); + vert.SetPosition(pos); + vert.SetNormal(normal); + vert.SetTexCoords( texture[0], texture[1] ); + num++; + } + num = 0; + for( IT_U32VectorList it_face = face_list.begin(); it_face!=face_list.end(); ++it_face ) + { + T_U32Vector f = *it_face; + GW_Face& face = Mesh.CreateNewFace(); + Mesh.SetFace( num, &face ); + for( GW_U32 i=0; i<3; ++i ) + { + GW_Vertex* pVert = Mesh.GetVertex(f[i]); GW_ASSERT( pVert!=NULL ); + face.SetVertex( *pVert, i ); + } + num++; + } + + return GW_OK; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_OBJLoader::Save +/** + * \param Mesh [GW_Mesh&] The mesh. + * \param name [char*] The file name. + * \return [GW_I32] Was the saving successful ? + * \author Gabriel Peyré + * \date 5-27-2003 + * + * Save the mesh to a file. + */ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_OBJLoader::Save( GW_Mesh& Mesh, const char *name ) +{ + FILE* pFile = NULL; + pFile = fopen( name, "wt" ); + if( pFile ==NULL ) + return GW_Error_Opening_File; +#define WRITELN(str) fprintf( pFile, str "\n" ) + + WRITELN("OFF"); + fprintf( pFile, "%u %u 0\n", Mesh.GetNbrVertex(), Mesh.GetNbrFace() ); + + for( GW_U32 i=0; iGetPosition(); + fprintf(pFile, "%f %f %f,\n", Pos[0], Pos[1], Pos[2] ); + + } + for( GW_U32 i=0; iGetVertex(0)->GetID(), pFace->GetVertex(1)->GetID(), pFace->GetVertex(2)->GetID() ); + } + fclose(pFile); + + return GW_OK; +} + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_OBJLoader.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_OBJLoader.h.svn-base new file mode 100644 index 0000000..0ca2aec --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_OBJLoader.h.svn-base @@ -0,0 +1,37 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_OBJLoader.h + * \brief Definition of class \c GW_OBJLoader + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef __GW_OBJLoader__ +#define __GW_OBJLoader__ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Mesh.h" + +GW_BEGIN_NAMESPACE + +class GW_OBJLoader +{ +public: + + static GW_I32 Load(GW_Mesh& Mesh, const char *name, const char* mode = "rt", GW_Bool bFlipFaces = GW_False ); + static GW_I32 Save( GW_Mesh& Mesh, const char *name ); + +}; + +GW_END_NAMESPACE + +#endif // #ifdef __GW_OBJLoader__ + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_OFFLoader.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_OFFLoader.cpp.svn-base new file mode 100644 index 0000000..35a2e9a --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_OFFLoader.cpp.svn-base @@ -0,0 +1,156 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_OFFLoader.cpp + * \brief Definition of class \c GW_OFFLoader + * \author Gabriel Peyré + * \date 5-20-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_OFFLoader.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_OFFLoader.h" + + +using namespace GW; + + +/*------------------------------------------------------------------------------*/ +// Name : GW_OFFLoader::Load +/** +* \param Mesh [GW_Mesh&] Mash to load data to. +* \param name [char*] File name. +* \return [GW_I32] >0 : loading successful. +* \author Gabriel Peyré +* \date 4-1-2003 +* +* Load data from a .PLY file. +*/ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_OFFLoader::Load(GW_Mesh& Mesh, const char *name, const char* mode, GW_Bool bFlipFaces) +{ + FILE* pFile = NULL; + pFile = fopen( name, mode ); + if( pFile ==NULL ) + return GW_Error_Opening_File; + + char data[255]; + GW_U32 nNbrVertex = 0; + GW_U32 nNbrFace = 0; + GW_U32 nTemp = 0; + float Vect[3]; + GW_U32 nVertexNumber[3]; + GW_U32 nFaceValence = 0; + GW_Vertex* pVert = NULL; + GW_Face* pFace = NULL; + + T_FloatVector vX, vY, vZ; + + std::map VertCorrespondance; + GW_Bool bVertexDone = GW_False; + + while( !feof(pFile) ) + { + fscanf(pFile, "%s", &data); + + if( strcmp(data, "#")==0 ) + { + /* skip the whole line */ + } + else if( strcmp(data, "OFF")==0 ) + { + /* begin to read the data */ + fscanf(pFile, "%u %u %u", &nNbrVertex, &nNbrFace, &nTemp); + Mesh.SetNbrVertex( nNbrVertex ); + Mesh.SetNbrFace( nNbrFace ); + for( GW_U32 i=0; iSetPosition( Pos ); + Mesh.SetVertex( i, pVert ); + } + for( GW_U32 i=0; iSetVertex( *pVert, j ); + else + pFace->SetVertex( *pVert, 2-j ); + } + Mesh.SetFace( i, pFace ); + } + + fclose(pFile); + + return GW_OK; + } + } + + return GW_ERROR; + +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_OFFLoader::Save +/** + * \param Mesh [GW_Mesh&] The mesh. + * \param name [char*] The file name. + * \return [GW_I32] Was the saving successful ? + * \author Gabriel Peyré + * \date 5-27-2003 + * + * Save the mesh to a file. + */ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_OFFLoader::Save( GW_Mesh& Mesh, const char *name ) +{ + FILE* pFile = NULL; + pFile = fopen( name, "wt" ); + if( pFile ==NULL ) + return GW_Error_Opening_File; +#define WRITELN(str) fprintf( pFile, str "\n" ) + + WRITELN("OFF"); + fprintf( pFile, "%u %u 0\n", Mesh.GetNbrVertex(), Mesh.GetNbrFace() ); + + for( GW_U32 i=0; iGetPosition(); + fprintf(pFile, "%f %f %f,\n", Pos[0], Pos[1], Pos[2] ); + + } + for( GW_U32 i=0; iGetVertex(0)->GetID(), pFace->GetVertex(1)->GetID(), pFace->GetVertex(2)->GetID() ); + } + fclose(pFile); + + return GW_OK; +} + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_OFFLoader.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_OFFLoader.h.svn-base new file mode 100644 index 0000000..fd6d115 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_OFFLoader.h.svn-base @@ -0,0 +1,37 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_OFFLoader.h + * \brief Definition of class \c GW_OFFLoader + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef __GW_OFFLoader__ +#define __GW_OFFLoader__ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Mesh.h" + +GW_BEGIN_NAMESPACE + +class GW_OFFLoader +{ +public: + + static GW_I32 Load(GW_Mesh& Mesh, const char *name, const char* mode = "rt", GW_Bool bFlipFaces = GW_False ); + static GW_I32 Save( GW_Mesh& Mesh, const char *name ); + +}; + +GW_END_NAMESPACE + +#endif // #ifdef __GW_OFFLoader__ + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_OpenGLHelper.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_OpenGLHelper.h.svn-base new file mode 100644 index 0000000..5cd7fe2 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_OpenGLHelper.h.svn-base @@ -0,0 +1,71 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_OpenGLHelper.h + * \brief Somme cool function for OpenGL linking + * \author Gabriel Peyré + * \date 5-30-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_OPENGLHELPER_H_ +#define _GW_OPENGLHELPER_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Vertex.h" +#include + +namespace GW { + + +/** some opengl cool linking features */ +inline +void glVertex( GW::GW_VectorStatic<3,GW_Float> &v ) +{ + glVertex3f( (GLfloat) v[0], (GLfloat) v[1], (GLfloat) v[2] ); +} + +inline +void glNormal( GW::GW_VectorStatic<3,GW_Float> &v ) +{ + glNormal3f( (GLfloat) v[0], (GLfloat) v[1], (GLfloat) v[2] ); +} + + +inline +void glColor( GW::GW_VectorStatic<3,GW_Float> &v ) +{ + glColor3f( (GLfloat) v[0], (GLfloat) v[1], (GLfloat) v[2] ); +} + +inline +void glVertex( GW::GW_Vertex &vert ) +{ + glVertex( vert.GetPosition() ); +} + +inline +void glNormal( GW::GW_Vertex &vert ) +{ + glNormal( vert.GetNormal() ); +} + +inline +void glTexCoord( GW::GW_Vertex &vert ) +{ + GLfloat u = (GLfloat) vert.GetTexCoordU(); + GLfloat v = (GLfloat) vert.GetTexCoordV(); + glTexCoord2f( u, v ); +} + + + +} // End namespace GW + +#endif // _GW_OPENGLHELPER_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_PLYLoader.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_PLYLoader.cpp.svn-base new file mode 100644 index 0000000..047eab7 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_PLYLoader.cpp.svn-base @@ -0,0 +1,369 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_PLYLoader.cpp + * \brief Definition of class \c GW_PLYLoader + * \author Gabriel Peyré + * \date 4-1-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_PLYLoader.cpp(c) Gabriel Peyré 2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_PLYLoader.h" + +using namespace GW; + +void big2littleendian(float& x) +{ + char* c = (char*) &x; + char t[4] = { c[3],c[2],c[1],c[0] }; + x = (float) (*t); +} +void big2littleendian(int& x) +{ + char* c = (char*) &x; + char t[4] = { c[3],c[2],c[1],c[0] }; + x = (int) (*t); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_PLYLoader::Load +/** + * \param Mesh [GW_Mesh&] Mash to load data to. + * \param name [char*] File name. + * \return [GW_I32] >0 : loading successful. + * \author Gabriel Peyré + * \date 4-1-2003 + * + * Load data from a .PLY file. + */ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_PLYLoader::Load(GW_Mesh& Mesh, const char *name, const char* mode, GW_U32 nExtraVertexPad, GW_Bool bFlipFaces) +{ + + FILE* pFile = NULL; + pFile = fopen( name, mode ); + if( pFile ==NULL ) + return GW_Error_Opening_File; + + /* pass the file to ply reader */ + int nelems, num_elems, nprops; + char *elem_name; + PlyFile* in_ply = read_ply( pFile ); + if( in_ply==NULL ) + return GW_Error_Opening_File; + char** elist = get_element_list_ply( in_ply, &nelems ); + + /* are the data store using big endian ? */ + GW_Bool bConvertToLittleEndian = (in_ply->file_type==PLY_BINARY_BE); + + /* some temporary structures */ + struct plyVertex + { + /* the usual 3-space position of a vertex */ + float x; + float y; + float z; + /* the color */ + unsigned char red; + unsigned char green; + unsigned char blue; + }; + + struct plyFace + { + unsigned char red; + unsigned char green; + unsigned char blue; + unsigned char nverts; // number of vertex indices in list + int *verts; // vertex index list + }; + /* the proprieties we use to get back the data */ + PlyProperty vertProps[] = { + {"x", Float32, Float32, static_cast(offsetof(plyVertex,x)), + 0, 0, 0, 0}, + {"y", Float32, Float32, static_cast(offsetof(plyVertex,y)), + 0, 0, 0, 0}, + {"z", Float32, Float32, static_cast(offsetof(plyVertex,z)), + 0, 0, 0, 0}, + {"red", Uint8, Uint8, static_cast(offsetof(plyVertex,red)), 0, 0, 0, 0}, + {"green", Uint8, Uint8, static_cast(offsetof(plyVertex,green)), 0, 0, 0, 0}, + {"blue", Uint8, Uint8, static_cast(offsetof(plyVertex,blue)), 0, 0, 0, 0}, + }; + PlyProperty faceProps[] = { + {"vertex_indices", Int32, Int32, + static_cast(offsetof(plyFace,verts)), + 1, Uint8, Uint8, static_cast(offsetof(plyFace,nverts))}, + {"red", Uint8, Uint8, static_cast(offsetof(plyFace,red)), 0, 0, 0, 0}, + {"green", Uint8, Uint8, static_cast(offsetof(plyFace,green)), 0, 0, 0, 0}, + {"blue", Uint8, Uint8, static_cast(offsetof(plyFace,blue)), 0, 0, 0, 0}, + }; + + /* Check to make sure that we can read geometry */ + PlyElement *elem; + int index; + if( (elem = find_element (in_ply, "vertex")) == NULL || + find_property (elem, "x", &index) == NULL || + find_property (elem, "y", &index) == NULL || + find_property (elem, "z", &index) == NULL || + (elem = find_element (in_ply, "face")) == NULL || + find_property (elem, "vertex_indices", &index) == NULL ) + { + cerr << "Cannot read geometry." << endl; + close_ply(in_ply); + return GW_ERROR; + } + + /* Check for optional attribute data. We can handle the color red, green, blue. */ + GW_Bool bFaceColorAvailable = GW_False, bVertexColorAvailable = GW_False; + if( (elem = find_element (in_ply, "face")) != NULL && + find_property (elem, "red", &index) != NULL && + find_property (elem, "green", &index) != NULL && + find_property (elem, "blue", &index) != NULL ) + bFaceColorAvailable = GW_True; + + if( (elem = find_element( in_ply, "vertex" )) != NULL && + find_property (elem, "red", &index) != NULL && + find_property (elem, "green", &index) != NULL && + find_property (elem, "blue", &index) != NULL ) + bVertexColorAvailable = GW_True; + + /* Okay, now we can grab the data */ + for( GW_I32 i = 0; i < nelems; ++i ) + { + /* get the description of the first element */ + elem_name = elist[i]; + + get_element_description_ply(in_ply, elem_name, &num_elems, &nprops); +// old ply_get_element_description(in_ply, elem_name, &num_elems, &nprops); + + /* if we're on vertex elements, read them in */ + if( elem_name && strcmp("vertex", elem_name)==0 ) + { + GW_U32 nNbrVertex = num_elems; + /* set the number of vertex */ + Mesh.SetNbrVertex( nNbrVertex ); + + ply_get_property(in_ply, elem_name, &vertProps[0]); + ply_get_property(in_ply, elem_name, &vertProps[1]); + ply_get_property(in_ply, elem_name, &vertProps[2]); + + /* Setup to read the PLY elements */ + if( bVertexColorAvailable ) + { + ply_get_property(in_ply, elem_name, &vertProps[3]); + ply_get_property(in_ply, elem_name, &vertProps[4]); + ply_get_property(in_ply, elem_name, &vertProps[5]); + } + + /* read the vertices */ + plyVertex vertex; + for( GW_U32 j=0; j SetPosition( GW_Vector3D(vertex.x, vertex.y, vertex.z) ); + Mesh.SetVertex( j, pVert ); + if ( bVertexColorAvailable ) + { + // pVert->SetColor( GW_Vector3D(vertex.red, vertex.green, vertex.blue) ); + } + } + } //if vertex + else if( elem_name && !strcmp ("face", elem_name) ) + { + GW_U32 nNbrFace = num_elems; + Mesh.SetNbrFace( nNbrFace ); + + /* Setup to read the PLY elements */ + ply_get_property(in_ply, elem_name, &faceProps[0]); + if( bFaceColorAvailable ) + { + ply_get_property(in_ply, elem_name, &faceProps[1]); + ply_get_property(in_ply, elem_name, &faceProps[2]); + ply_get_property(in_ply, elem_name, &faceProps[3]); + } + /* grab all the face elements */ + for( GW_U32 j=0; j < nNbrFace; j++) + { + // grab and element from the file + plyFace face; + int verts[256]; // just 3 should be ok, but ... + face.verts = verts; + ply_get_element( in_ply, (void*) &face ); + // if( bConvertToLittleEndian ) + // big2littleendian(face.nverts); + /* GW_ASSERT( face.nverts==3 ); + if( face.nverts!=3 ) + { + cerr << "Face with more than 3 vertices are not supported." << endl; + return GW_ERROR; + }*/ + GW_Face* pFace = &Mesh.CreateNewFace(); + Mesh.SetFace( j, pFace ); + for( GW_U32 k=0; k<3; ++k) + { + if( bConvertToLittleEndian ) + big2littleendian(face.verts[k]); + GW_ASSERT( face.verts[k]>=0 ); + GW_Vertex* pVert = Mesh.GetVertex( face.verts[k] ); + GW_ASSERT( pVert!=NULL ); + if( !bFlipFaces ) + pFace->SetVertex( *pVert, k ); + else + pFace->SetVertex( *pVert, 2-k ); + } + if( bFaceColorAvailable ) + { + // pFace->SetColor( GW_Vector3D(face.red, face.green, face.blue) ); + } + } + } //if face + free(elist[i]); //allocated by ply_open_for_reading + } //for all elements of the PLY file + free(elist); //allocated by ply_open_for_reading + + /* close the PLY files */ + close_ply( in_ply ); + fclose( pFile ); + + return GW_OK; +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_PLYLoader::Save +/** + * \param Mesh [GW_Mesh&] The mesh. + * \param name [char*] The file name. + * \return [GW_I32] Was the saving successful ? + * \author Gabriel Peyré + * \date 5-27-2003 + * + * Save the mesh to a file. + */ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_PLYLoader::Save( GW_Mesh& Mesh, const char *name, GW_Bool bAscii ) +{ + + /* some temporary structures */ + struct plyVertex + { + /* the usual 3-space position of a vertex */ + float x; + float y; + float z; + }; + + struct plyFace + { + unsigned char nverts; // number of vertex indices in list + int *verts; // vertex index list + }; + /* the proprieties we use to get back the data */ + PlyProperty vertProps[] = { + {"x", Float32, Float32, static_cast(offsetof(plyVertex,x)), + 0, 0, 0, 0}, + {"y", Float32, Float32, static_cast(offsetof(plyVertex,y)), + 0, 0, 0, 0}, + {"z", Float32, Float32, static_cast(offsetof(plyVertex,z)), + 0, 0, 0, 0}, + }; + PlyProperty faceProps[] = { + {"vertex_indices", Int32, Int32, + static_cast(offsetof(plyFace,verts)), + 1, Uint8, Uint8, static_cast(offsetof(plyFace,nverts))}, + }; + + FILE* pFile = NULL; + pFile = fopen( name, "wt" ); + if( pFile ==NULL ) + return GW_Error_Opening_File; + + int file_type; + if( bAscii ) + file_type = PLY_ASCII; + else + file_type = PLY_BINARY_LE; + const char* elem_name[2] = {"vertex", "face"}; + PlyFile* out_ply = write_ply( pFile, 2, (char**) elem_name, file_type ); + + if( out_ply==NULL ) + return GW_Error_Opening_File; + + + + element_count_ply( out_ply, "vertex", Mesh.GetNbrVertex() ); + ply_describe_property( out_ply, "vertex", &vertProps[0]); + ply_describe_property( out_ply, "vertex", &vertProps[1]); + ply_describe_property( out_ply, "vertex", &vertProps[2]); + + + element_count_ply( out_ply, "face", Mesh.GetNbrFace() ); + ply_describe_property( out_ply, "face", &faceProps[0]); + + /* write a comment and an object information field */ + append_comment_ply( out_ply, "Generated by GeoWave -- http://nikopol0.altern.org/geowave/" ); + append_obj_info_ply( out_ply, "GeoWave: v1.0" ); + + /* complete the header */ + header_complete_ply( out_ply ); + + /* set up and write the vertex elements */ + plyVertex vert; + put_element_setup_ply( out_ply, "vertex" ); + + for( GW_U32 i=0; iGetPosition(); + vert.x = (float) Pos[0]; + vert.y = (float) Pos[1]; + vert.z = (float) Pos[2]; + put_element_ply( out_ply, (void*) &vert ); + } + + /* set up and write the face elements */ + plyFace face; + int verts[3]; + face.verts = verts; + put_element_setup_ply( out_ply, "face" ); + for( GW_U32 i=0; iGetVertex(j)!=NULL ); + face.verts[j] = (int) pFace->GetVertex(j)->GetID(); + } + face.nverts = 3; + put_element_ply( out_ply, (void*) &face ); + } + + put_element_ply( out_ply, (void*) &face ); + fclose(pFile); + + return GW_OK; +} + + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_PLYLoader.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_PLYLoader.h.svn-base new file mode 100644 index 0000000..6618427 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_PLYLoader.h.svn-base @@ -0,0 +1,54 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_PLYLoader.h + * \brief Definition of class \c GW_PLYLoader + * \author Gabriel Peyré + * \date 4-1-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_PLYLOADER_H_ +#define _GW_PLYLOADER_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Mesh.h" +extern "C" { +#include "ply/ply.h" +} +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_PLYLoader + * \brief Loader for .ply polygon file. + * \author Gabriel Peyré + * \date 4-1-2003 + * + * PLY is a 3D standard from Stanford. + */ +/*------------------------------------------------------------------------------*/ + +class GW_PLYLoader +{ + +public: + + static GW_I32 Load(GW_Mesh& Mesh, const char *name, const char* mode = "rt", GW_U32 nExtraVertexPad = 2, GW_Bool bFlipFaces = GW_True ); + static GW_I32 Save( GW_Mesh& Mesh, const char *name, GW_Bool bAscii=GW_True ); + +private: + +}; + +} // End namespace GW + + +#endif // _GW_PLYLOADER_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_Toolkit.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_Toolkit.cpp.svn-base new file mode 100644 index 0000000..a418a0a --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_Toolkit.cpp.svn-base @@ -0,0 +1,574 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Toolkit.cpp + * \brief Definition of class \c GW_Toolkit + * \author Gabriel Peyré + * \date 4-27-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_Toolkit.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_Toolkit.h" + +using namespace GW; + +T_GeodesicVertexList GW_Toolkit::StartVertexList_; + +const GW_Float GW_Toolkit::rRandomColor_[GW_TOOLKIT_NBR_COLOR][3] = +{ + {1.0, 0.0, 0.0}, + {0.0, 1.0, 0.0}, + {0.0, 0.0, 1.0}, + {0.0, 1.0, 1.0}, + {1.0, 0.0, 1.0}, + {1.0, 1.0, 0.0}, + {1.0, 0.5, 0.5}, + {0.5, 1.0, 0.5}, + {0.5, 0.5, 1.0}, + + + {1.0, 0.5, 0.0}, + {1.0, 0.0, 0.5}, + {0.5, 1.0, 0.0}, + {0.0, 1.0, 0.5}, + {0.5, 0.0, 1.0}, + {0.0, 0.5, 1.0}, + + {1.0, 1.0, 0.5}, + {1.0, 0.5, 1.0}, + {0.5, 1.0, 1.0}, +}; + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Toolkit constructor +/** + * \author Gabriel Peyré + * \date 4-27-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_Toolkit::GW_Toolkit() +: nNbrStartVertex_( 1 ) +{ + Displayer_.EnableDraw( GW_BasicDisplayer::kGeodesicDistance ); + Displayer_.SetVectorScaling( GW_TOOLKIT_VECTOR_SCALING ); + CoarseDisplayer_.EnableDraw( GW_BasicDisplayer::kLighting ); +} + +const GW_Bool bResavePLY = GW_False; +const GW_Bool bResaveVRML = GW_False; +const GW_Bool bResaveGWM = GW_True; +const GW_Bool bResaveOFF = GW_True; +const GW_Bool bResaveOBJ = GW_True; + +/*------------------------------------------------------------------------------*/ +// Name : GW_Toolkit::LoadFile +/** +* \param file_name [char*] File name. +* \return [GW_I32] Was the loading successful ? +* \author Gabriel Peyré +* \date 4-2-2003 +* +* Load a file depending on it's extension. +*/ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_Toolkit::LoadFile(const char* file_name) +{ + StartVertexList_.clear(); + VoronoiMesh_.Reset(); + Mesh_.Reset(); + GeodesicPath_.ResetPath(); + pEndVertex_ = NULL; + /* analyse extension */ + string str(file_name); + string::size_type n = str.find_last_of( ".", str.length() ); + if( n!=string::npos ) + { + string ext = str.substr( n+1, str.size() ); + string base = str.substr( 0, n ); + if( ext=="ply" ) + { +#define MODE "rt" +#define EXTRA_PAD 8 +#define FLIP_FACES GW_True + GW_BasicDisplayer Displayer_; + cout << "Loading PLY file " << file_name << "... "; + GW_I32 nRet = GW_PLYLoader::Load( Mesh_, file_name, MODE, EXTRA_PAD, FLIP_FACES ); + if( nRet<0 ) + { + cout << endl << "Can't load file."; + return nRet; + } + cout << "done." << endl; + /* set up the connectivity */ + cout << "Building connectivity ... "; + Mesh_.BuildConnectivity(); + cout << "done." << endl; + /* rescaling */ + cout << "Rescaling vertex ... "; + Mesh_.TranslateVertex( -Mesh_.GetBarycenter() ); + Mesh_.ScaleVertex( 5/Mesh_.GetBoundingRadius() ); + cout << "done." << endl; + /* building normal AFTER connectivity */ + cout << "Building curvature informations ... "; + Mesh_.BuildCurvatureData(); + Mesh_.BuildRawNormal(); // todo : fix this. + cout << "done." << endl; + /* re-saving the file */ + if( bResaveGWM ) + { + cout << "Saving file in .gwm format ... "; + string base_gwm = base + ".gwm"; + GW_Ofstream file( base_gwm.c_str(), std::ofstream::out | std::ofstream::binary ); + file << Mesh_; + file.close(); + cout << "done." << endl; + } + /* resave in vrml format */ + if( bResaveVRML ) + { + cout << "Saving file in .wrl format ... "; + string base_wrl = base + ".wrl"; + GW_VRMLLoader::Save( Mesh_, base_wrl.c_str() ); + cout << "done." << endl; + } + + } + else if( ext=="ase" ) + { + GW_ASELoader ASELoader; + cout << "Loading ASE file " << file_name << " ... "; + GW_I32 nRet = ASELoader.Load( Mesh_, file_name ); + if( nRet<0 ) + { + cout << endl << "Can't load file."; + return nRet; + } + cout << "done." << endl; + /* set up the connectivity */ + cout << "Building connectivity ... "; + Mesh_.BuildConnectivity(); + cout << "done." << endl; + /* rescaling */ + cout << "Rescaling vertex ... "; + Mesh_.TranslateVertex( -Mesh_.GetBarycenter() ); + Mesh_.ScaleVertex( 5/Mesh_.GetBoundingRadius() ); + cout << "done." << endl; + /* building normal AFTER connectivity */ + cout << "Building curvature informations ... "; + Mesh_.BuildCurvatureData(); + Mesh_.BuildRawNormal(); // todo : fix this. + cout << "done." << endl; + /* re-saving the file */ + if( bResaveGWM ) + { + cout << "Saving file in .gwm format ... "; + string base_gwm = base + ".gwm"; + GW_Ofstream file( base_gwm.c_str(), std::ofstream::out | std::ofstream::binary ); + file << Mesh_; + file.close(); + cout << "done." << endl; + } + /* resave in OFF format */ + if( bResaveOFF ) + { + cout << "Saving file in .off format ... "; + string base_wrl = base + ".off"; + GW_OFFLoader::Save( Mesh_, base_wrl.c_str() ); + cout << "done." << endl; + } + /* resave in PLY format */ + if( bResavePLY ) + { + cout << "Saving file in .ply format ... "; + string base_wrl = base + ".ply"; + GW_PLYLoader::Save( Mesh_, base_wrl.c_str(), GW_False ); + cout << "done." << endl; + } + } + else if( ext=="wrl" ) + { + cout << "Loading VRML file " << file_name << " ... "; + GW_I32 nRet = GW_VRMLLoader::Load( Mesh_, file_name ); + if( nRet<0 ) + { + cout << endl << "Can't load file."; + return nRet; + } + cout << "done." << endl; + /* set up the connectivity */ + cout << "Building connectivity ... "; + Mesh_.BuildConnectivity(); + cout << "done." << endl; + /* rescaling */ + cout << "Rescaling vertex ... "; + Mesh_.TranslateVertex( -Mesh_.GetBarycenter() ); + GW_Float rRadius = Mesh_.GetBoundingRadius(); + GW_ASSERT( rRadius>0 ); + Mesh_.ScaleVertex( 5/(rRadius+0.001) ); + cout << "done." << endl; + /* building normal AFTER connectivity */ + cout << "Building curvature informations ... "; + Mesh_.BuildCurvatureData(); + Mesh_.BuildRawNormal(); // todo : fix this. + cout << "done." << endl; + /* re-saving the file */ + if( bResaveGWM ) + { + cout << "Saving file in .gwm format ... "; + string base_gwm = base + ".gwm"; + GW_Ofstream file( base_gwm.c_str(), std::ofstream::out | std::ofstream::binary ); + file << Mesh_; + file.close(); + cout << "done." << endl; + } + } + else if( ext=="off" ) + { + cout << "Loading OFF file " << file_name << " ... "; + GW_I32 nRet = GW_OFFLoader::Load( Mesh_, file_name ); + if( nRet<0 ) + { + cout << endl << "Can't load file."; + return nRet; + } + cout << "done." << endl; + /* set up the connectivity */ + cout << "Building connectivity ... "; + GW_Vertex* pVert = Mesh_.GetVertex(0); + Mesh_.GetVertex(10); + Mesh_.BuildConnectivity(); + pVert = Mesh_.GetVertex(0); + Mesh_.GetVertex(10); + cout << "done." << endl; + /* rescaling */ + cout << "Rescaling vertex ... "; + Mesh_.TranslateVertex( -Mesh_.GetBarycenter() ); + pVert = Mesh_.GetVertex(0); + Mesh_.GetVertex(10); + GW_Float rRadius = Mesh_.GetBoundingRadius(); + GW_ASSERT( rRadius>0 ); + Mesh_.ScaleVertex( 5/(rRadius+0.001) ); + cout << "done." << endl; + /* building normal AFTER connectivity */ + cout << "Building curvature informations ... "; + Mesh_.BuildCurvatureData(); + Mesh_.BuildRawNormal(); + cout << "done." << endl; + /* re-saving the file */ + if( bResaveOFF ) + { + cout << "Saving file in .gwm format ... "; + string base_gwm = base + ".gwm"; + GW_Ofstream file( base_gwm.c_str(), std::ofstream::out | std::ofstream::binary ); + file << Mesh_; + file.close(); + cout << "done." << endl; + } + } + + else if( ext=="obj" ) + { + cout << "Loading OBJ file " << file_name << " ... "; + GW_I32 nRet = GW_OBJLoader::Load( Mesh_, file_name ); + if( nRet<0 ) + { + cout << endl << "Can't load file."; + return nRet; + } + cout << "done." << endl; + /* set up the connectivity */ + cout << "Building connectivity ... "; + GW_Vertex* pVert = Mesh_.GetVertex(0); + Mesh_.GetVertex(10); + Mesh_.BuildConnectivity(); + pVert = Mesh_.GetVertex(0); + Mesh_.GetVertex(10); + cout << "done." << endl; + /* rescaling */ + cout << "Rescaling vertex ... "; + Mesh_.TranslateVertex( -Mesh_.GetBarycenter() ); + pVert = Mesh_.GetVertex(0); + Mesh_.GetVertex(10); + GW_Float rRadius = Mesh_.GetBoundingRadius(); + GW_ASSERT( rRadius>0 ); + Mesh_.ScaleVertex( 5/(rRadius+0.001) ); + cout << "done." << endl; + /* building normal AFTER connectivity */ + cout << "Building curvature informations ... "; + Mesh_.BuildCurvatureData(); + Mesh_.BuildRawNormal(); + cout << "done." << endl; + /* re-saving the file */ + if( bResaveOBJ ) + { + cout << "Saving file in .gwm format ... "; + string base_gwm = base + ".gwm"; + GW_Ofstream file( base_gwm.c_str(), std::ofstream::out | std::ofstream::binary ); + file << Mesh_; + file.close(); + cout << "done." << endl; + } + } + else if( ext=="gwm" ) + { + cout << "Loading GWM file " << file_name << " ... "; + GW_Ifstream file( file_name, std::ios_base::in | std::ios_base::binary); + file >> Mesh_; + file.close(); + cout << "done." << endl; + /* building normal */ + cout << "Building curvature informations ... "; + Mesh_.BuildCurvatureData(); + Mesh_.BuildRawNormal(); // todo : fix this. + cout << "done." << endl; + } + else + { + cerr << "load_file: " << file_name << " is not a supported file name." << endl; + return GW_Error_File_Not_Supported; + } + } + else + { + cerr << "load_file: " << file_name << " is not a supported file name." << endl; + return GW_Error_File_Not_Supported; + } + + char s[100]; + sprintf( s, "Number of vertices : %d", Mesh_.GetNbrVertex() ); + GW_OutputComment( s ); + sprintf( s, "Number of faces : %d", Mesh_.GetNbrFace() ); + GW_OutputComment( s ); + + Displayer_.SetUpDraw( Mesh_ ); + Displayer_.BuildVertexArray( Mesh_ ); + this->SetUpMarching(); + + return GW_OK; +} + +void GW_Toolkit::SetUpMarching( GW_GeodesicVertex* pUserStart ) +{ + StartVertexList_.clear(); + GW_GeodesicVertex* pStartVertex = NULL; + Mesh_.ResetGeodesicMesh(); + /* find start vertex */ + for( GW_U32 i=0; i=0 if success. + * \author Gabriel Peyré + * \date 5-5-2003 + * + * Load a list of file. + */ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_Toolkit::LoadFileList( const char* file, T_StringList& FileList ) +{ + /* load the file listing */ + FILE* pFile = fopen( file, "rt" ); + if( pFile==NULL ) + return -1; + char data[255]; + while( !feof(pFile) ) + { + fscanf(pFile, "%s", &data); + if( data[0]=='#' ) + { + // skip line + char c = 0; + while( !feof(pFile) && !(c=='\n') ) + c = fgetc( pFile ); + } + else + FileList.push_back( string(data) ); + } + fclose( pFile ); + + return 0; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Toolkit::Display +/** + * \param gc [GW_GeometryCell&] The cell + * \author Gabriel Peyré + * \date 2-4-2004 + * + * Display a gometry cell. + */ +/*------------------------------------------------------------------------------*/ +void GW_Toolkit::Display( GW_GeometryCell& gc, GW_Float boundary_thick, GW_Float half_boundary_thick, + GW_Vector3D boundary_color, GW_Vector3D half_boundary_color, GW_Vector3D fill_color ) +{ + glColor( fill_color ); + glLineWidth(1); + for( GW_U32 j=0; j<(gc.GetWidth()-1); ++j ) + { + glBegin(GL_QUAD_STRIP); + for( GW_U32 i=0; i0 ) + { + glColor( half_boundary_color ); + glLineWidth(half_boundary_thick); + glBegin(GL_LINE_STRIP); + for( GW_U32 i=0; i0 ) + { + glColor( boundary_color ); + glLineWidth(boundary_thick); + glBegin(GL_LINE_STRIP); + for( GW_I32 i=0; i0 ) nNbrStartVertex_--; return nNbrStartVertex_; } + + GW_GeodesicVertex* GetEndVertex() + { return pEndVertex_; } + static T_GeodesicVertexList& GetStartVertex() + { return StartVertexList_; } + + static GW_Vector3D GetRandomColor(); + + /** geometry cells helpers */ + static void Display( GW_GeometryCell& gc, GW_Float boundary_thick = 0, GW_Float half_boundary_thick = 0, + GW_Vector3D boundary_color = GW_Vector3D(0,0,0), GW_Vector3D half_boundary_color = GW_Vector3D(1,0,0), GW_Vector3D fill_color = GW_Vector3D(0.5f,0.5f,0.5f) ); + static void Display( GW_GeometryAtlas& ga, GW_Float boundary_thick = 0, GW_Float half_boundary_thick = 0, + GW_Vector3D boundary_color = GW_Vector3D(0,0,0), GW_Vector3D half_boundary_color = GW_Vector3D(1,0,0), GW_Vector3D fill_color = GW_Vector3D(0.5f,0.5f,0.5f) ); + +private: + + GW_GeodesicMesh Mesh_; + GW_VoronoiMesh VoronoiMesh_; + + GW_GeodesicDisplayer Displayer_; + GW_BasicDisplayer CoarseDisplayer_; + + GW_GeodesicPath GeodesicPath_; + + GW_GeodesicVertex* pEndVertex_; + static T_GeodesicVertexList StartVertexList_; + + GW_U32 nNbrStartVertex_; + + + #define GW_TOOLKIT_NBR_COLOR 18 + static const GW_Float rRandomColor_[GW_TOOLKIT_NBR_COLOR][3]; + +}; + +} // End namespace GW + + +#endif // _GW_TOOLKIT_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_VRMLLoader.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_VRMLLoader.cpp.svn-base new file mode 100644 index 0000000..0092a80 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_VRMLLoader.cpp.svn-base @@ -0,0 +1,194 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VRMLLoader.cpp + * \brief Definition of class \c GW_VRMLLoader + * \author Gabriel Peyré + * \date 5-20-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_VRMLLoader.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_VRMLLoader.h" + + +using namespace GW; + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VRMLLoader::Load +/** +* \param Mesh [GW_Mesh&] Mash to load data to. +* \param name [char*] File name. +* \return [GW_I32] >0 : loading successful. +* \author Gabriel Peyré +* \date 4-1-2003 +* +* Load data from a .PLY file. +*/ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_VRMLLoader::Load(GW_Mesh& Mesh, const char *name, const char* mode, GW_U32 nExtraVertexPad, GW_Bool bFlipFaces) +{ + FILE* pFile = NULL; + pFile = fopen( name, mode ); + if( pFile ==NULL ) + return GW_Error_Opening_File; + + char data[255]; + GW_U32 nNbrVertex = 0; + GW_U32 nNbrFace = 0; + float Vect[3]; + GW_U32 nVertexNumber[3]; + GW_U32 nFaceValence = 0; + GW_Vertex* pVert = NULL; + GW_Face* pFace = NULL; + + T_FloatVector vX, vY, vZ; + + std::map VertCorrespondance; + GW_Bool bVertexDone = GW_False; + + while( !feof(pFile) ) + { + fscanf(pFile, "%s", &data); + + if( strcmp(data, "vertex")==0 ) + { + fscanf(pFile, "%u", &nNbrVertex); + Mesh.SetNbrVertex( nNbrVertex ); + } + else if( strcmp(data, "face")==0 ) + { + fscanf(pFile, "%u", &nNbrFace); + Mesh.SetNbrFace( nNbrFace ); + } + else if( strcmp( data, "point[" )==0 && !bVertexDone ) + { + bVertexDone = GW_True; + for( GW_U32 i=0; iSetPosition( Pos ); + Mesh.SetVertex( i, pVert ); +#if 0 + /* this is to avoid an annoying problem of vertex duplication */ + for( GW_U32 j=0; jGetPosition(); + if( (Pos-Pos1).Norm()SetVertex( *pVert, j ); + else + pFace->SetVertex( *pVert, 2-j ); + } + Mesh.SetFace( i, pFace ); + } + } + else if( strcmp( data, "point[" )==0 && bVertexDone ) + { + /* texture coords */ + float u=0,v=0; + for( GW_U32 i=0; iSetTexCoords( u,v ); + } + } + } + + fclose(pFile); + + return GW_OK; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VRMLLoader::Save +/** + * \param Mesh [GW_Mesh&] The mesh. + * \param name [char*] The file name. + * \return [GW_I32] Was the saving successful ? + * \author Gabriel Peyré + * \date 5-27-2003 + * + * Save the mesh to a file. + */ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_VRMLLoader::Save( GW_Mesh& Mesh, const char *name ) +{ + FILE* pFile = NULL; + pFile = fopen( name, "wt" ); + if( pFile ==NULL ) + return GW_Error_Opening_File; +#define WRITELN(str) fprintf( pFile, str "\n" ) + + WRITELN("#VRML V2.0 utf8"); + WRITELN("Group {"); + WRITELN("children ["); + WRITELN("Shape {"); + WRITELN("geometry IndexedFaceSet {"); + WRITELN("coord Coordinate {"); + WRITELN("point["); + + for( GW_U32 i=0; iGetPosition(); + fprintf(pFile, " %f %f %f,\n", Pos[0], Pos[1], Pos[2] ); + + } + + WRITELN("]"); + WRITELN("}"); + WRITELN("coordIndex["); + + for( GW_U32 i=0; iGetVertex(0)->GetID(), pFace->GetVertex(1)->GetID(), pFace->GetVertex(2)->GetID() ); + } + + WRITELN("]"); + WRITELN("}"); // geometry + WRITELN("}"); // shape + WRITELN("]"); // children + WRITELN("}"); // group + + fclose(pFile); + + return GW_OK; +} + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_VRMLLoader.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_VRMLLoader.h.svn-base new file mode 100644 index 0000000..ec8a6f6 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/GW_VRMLLoader.h.svn-base @@ -0,0 +1,51 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VRMLLoader.h + * \brief Definition of class \c GW_VRMLLoader + * \author Gabriel Peyré + * \date 5-20-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_VRMLLOADER_H_ +#define _GW_VRMLLOADER_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Mesh.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_VRMLLoader + * \brief Load data from a VRML file. + * \author Gabriel Peyré + * \date 5-20-2003 + * + * Very simple loader. + */ +/*------------------------------------------------------------------------------*/ + +class GW_VRMLLoader +{ + +public: + + static GW_I32 Load(GW_Mesh& Mesh, const char *name, const char* mode = "rt", GW_U32 nExtraVertexPad = 2, GW_Bool bFlipFaces = GW_False ); + static GW_I32 Save( GW_Mesh& Mesh, const char *name ); +private: + +}; + +} // End namespace GW + + +#endif // _GW_VRMLLOADER_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/gw_toolkit.vcproj.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/gw_toolkit.vcproj.svn-base new file mode 100644 index 0000000..3e15dde --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/gw_toolkit.vcproj.svn-base @@ -0,0 +1,258 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/stdafx.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/stdafx.cpp.svn-base new file mode 100644 index 0000000..509cef4 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/stdafx.cpp.svn-base @@ -0,0 +1,5 @@ +// stdafx.cpp : source file that includes just the standard includes +// gw_core.pch will be the pre-compiled header +// stdafx.obj will contain the pre-compiled type information + +#include "stdafx.h" diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/stdafx.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/stdafx.h.svn-base new file mode 100644 index 0000000..7b5de5f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/stdafx.h.svn-base @@ -0,0 +1,76 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file Stdafx.h + * \brief Include for precompiled header. + * \author Gabriel Peyré + * \date 10-26-2002 + */ +/*------------------------------------------------------------------------------*/ +#ifndef _GW_TOOLKIT_STDAFX_H_ +#define _GW_TOOLKIT_STDAFX_H_ + +#pragma once + +/* 'identifier' : identifier was truncated to 'number' characters in the debug information */ +#pragma warning( disable : 4786 ) + +//------------------------------------------------------------------------- +/** \name C++ STL */ +//------------------------------------------------------------------------- +//@{ +#include +#include +#include +#include +#include +#include +#include +using std::string; +using std::cerr; +using std::cout; +using std::endl; +//@} + +//------------------------------------------------------------------------- +/** \name classical ANSI c libraries */ +//------------------------------------------------------------------------- +//@{ +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +//#include +#include +#include +#include +//@} + + + +/*----------------------------------------------------------------------*/ +/* win32 #include */ +/*----------------------------------------------------------------------*/ + +#ifdef WIN32 + #define WIN32_LEAN_AND_MEAN + /** main win32 header */ + #include +#endif // _USE_WIN32_ + +#include "../gw_core/GW_MathsWrapper.h" + +#endif // _STDAFX_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/trackball.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/trackball.cpp.svn-base new file mode 100644 index 0000000..43c6e11 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/trackball.cpp.svn-base @@ -0,0 +1,692 @@ +/* + * (c) Copyright 1993, 1994, Silicon Graphics, Inc. + * ALL RIGHTS RESERVED + * Permission to use, copy, modify, and distribute this software for + * any purpose and without fee is hereby granted, provided that the above + * copyright notice appear in all copies and that both the copyright notice + * and this permission notice appear in supporting documentation, and that + * the name of Silicon Graphics, Inc. not be used in advertising + * or publicity pertaining to distribution of the software without specific, + * written prior permission. + * + * THE MATERIAL EMBODIED ON THIS SOFTWARE IS PROVIDED TO YOU "AS-IS" + * AND WITHOUT WARRANTY OF ANY KIND, EXPRESS, IMPLIED OR OTHERWISE, + * INCLUDING WITHOUT LIMITATION, ANY WARRANTY OF MERCHANTABILITY OR + * FITNESS FOR A PARTICULAR PURPOSE. IN NO EVENT SHALL SILICON + * GRAPHICS, INC. BE LIABLE TO YOU OR ANYONE ELSE FOR ANY DIRECT, + * SPECIAL, INCIDENTAL, INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY + * KIND, OR ANY DAMAGES WHATSOEVER, INCLUDING WITHOUT LIMITATION, + * LOSS OF PROFIT, LOSS OF USE, SAVINGS OR REVENUE, OR THE CLAIMS OF + * THIRD PARTIES, WHETHER OR NOT SILICON GRAPHICS, INC. HAS BEEN + * ADVISED OF THE POSSIBILITY OF SUCH LOSS, HOWEVER CAUSED AND ON + * ANY THEORY OF LIABILITY, ARISING OUT OF OR IN CONNECTION WITH THE + * POSSESSION, USE OR PERFORMANCE OF THIS SOFTWARE. + * + * US Government Users Restricted Rights + * Use, duplication, or disclosure by the Government is subject to + * restrictions set forth in FAR 52.227.19(c)(2) or subparagraph + * (c)(1)(ii) of the Rights in Technical Data and Computer Software + * clause at DFARS 252.227-7013 and/or in similar or successor + * clauses in the FAR or the DOD or NASA FAR Supplement. + * Unpublished-- rights reserved under the copyright laws of the + * United States. Contractor/manufacturer is Silicon Graphics, + * Inc., 2011 N. Shoreline Blvd., Mountain View, CA 94039-7311. + * + * OpenGL(TM) is a trademark of Silicon Graphics, Inc. + */ +/* + * Trackball code: + * + * Implementation of a virtual trackball. + * Implemented by Gavin Bell, lots of ideas from Thant Tessman and + * the August '88 issue of Siggraph's "Computer Graphics," pp. 121-129. + * + * TB_Vector manip code: + * + * Original code from: + * David M. Ciemiewicz, Mark Grossman, Henry Moreton, and Paul Haeberli + * + * Much mucking with by: + * Gavin Bell + */ + + +#include "stdafx.h" + +#if defined(_WIN32) +#pragma warning (disable:4244) /* disable bogus conversion warnings */ +#endif +#include +#include +#include "trackball.h" + +/* + * This size should really be based on the distance from the center of + * rotation to the point on the object underneath the mouse. That + * point would then track the mouse as closely as possible. This is a + * simple example, though, so that is left as an Exercise for the + * Programmer. + */ +#define TRACKBALLSIZE (0.8f) + +/* + * Local function prototypes (not defined in trackball.h) + */ +static float tb_project_to_sphere(float, float, float); +static void normalize_quat(float [4]); + +void +vzero(float *v) +{ + v[0] = 0.0; + v[1] = 0.0; + v[2] = 0.0; +} + +void +vset(float *v, float x, float y, float z) +{ + v[0] = x; + v[1] = y; + v[2] = z; +} + +void +vsub(const float *src1, const float *src2, float *dst) +{ + dst[0] = src1[0] - src2[0]; + dst[1] = src1[1] - src2[1]; + dst[2] = src1[2] - src2[2]; +} + +void +vcopy(const float *v1, float *v2) +{ + register int i; + for (i = 0 ; i < 3 ; i++) + v2[i] = v1[i]; +} + +void +vcross(const float *v1, const float *v2, float *cross) +{ + float temp[3]; + + temp[0] = (v1[1] * v2[2]) - (v1[2] * v2[1]); + temp[1] = (v1[2] * v2[0]) - (v1[0] * v2[2]); + temp[2] = (v1[0] * v2[1]) - (v1[1] * v2[0]); + vcopy(temp, cross); +} + +float +vlength(const float *v) +{ + return sqrt(v[0] * v[0] + v[1] * v[1] + v[2] * v[2]); +} + +void +vscale(float *v, float div) +{ + v[0] *= div; + v[1] *= div; + v[2] *= div; +} + +void +vnormal(float *v) +{ + vscale(v,1.0/vlength(v)); +} + +float +vdot(const float *v1, const float *v2) +{ + return v1[0]*v2[0] + v1[1]*v2[1] + v1[2]*v2[2]; +} + +void +vadd(const float *src1, const float *src2, float *dst) +{ + dst[0] = src1[0] + src2[0]; + dst[1] = src1[1] + src2[1]; + dst[2] = src1[2] + src2[2]; +} + +/* + * Ok, simulate a track-ball. Project the points onto the virtual + * trackball, then figure out the axis of rotation, which is the cross + * product of P1 P2 and O P1 (O is the center of the ball, 0,0,0) + * Note: This is a deformed trackball-- is a trackball in the center, + * but is deformed into a hyperbolic sheet of rotation away from the + * center. This particular function was chosen after trying out + * several variations. + * + * It is assumed that the arguments to this routine are in the range + * (-1.0 ... 1.0) + */ +void +trackball(float q[4], float p1x, float p1y, float p2x, float p2y) +{ + float a[3]; /* Axis of rotation */ + float phi; /* how much to rotate about axis */ + float p1[3], p2[3], d[3]; + float t; + + if (p1x == p2x && p1y == p2y) { + /* Zero rotation */ + vzero(q); + q[3] = 1.0; + return; + } + + /* + * First, figure out z-coordinates for projection of P1 and P2 to + * deformed sphere + */ + vset(p1,p1x,p1y,tb_project_to_sphere(TRACKBALLSIZE,p1x,p1y)); + vset(p2,p2x,p2y,tb_project_to_sphere(TRACKBALLSIZE,p2x,p2y)); + + /* + * Now, we want the cross product of P1 and P2 + */ + vcross(p2,p1,a); + + /* + * Figure out how much to rotate around that axis. + */ + vsub(p1,p2,d); + t = vlength(d) / (2.0*TRACKBALLSIZE); + + /* + * Avoid problems with out-of-control values... + */ + if (t > 1.0) t = 1.0; + if (t < -1.0) t = -1.0; + phi = 2.0 * asin(t); + + axis_to_quat(a,phi,q); +} + +/* + * Given an axis and angle, compute quaternion. + */ +void +axis_to_quat(float a[3], float phi, float q[4]) +{ + vnormal(a); + vcopy(a,q); + vscale(q,sin(phi/2.0)); + q[3] = cos(phi/2.0); +} + +/* + * Project an x,y pair onto a sphere of radius r OR a hyperbolic sheet + * if we are away from the center of the sphere. + */ +static float +tb_project_to_sphere(float r, float x, float y) +{ + float d, t, z; + + d = sqrt(x*x + y*y); + if (d < r * 0.70710678118654752440) { /* Inside sphere */ + z = sqrt(r*r - d*d); + } else { /* On hyperbola */ + t = r / 1.41421356237309504880; + z = t*t / d; + } + return z; +} + +/* + * Given two rotations, e1 and e2, expressed as quaternion rotations, + * figure out the equivalent single rotation and stuff it into dest. + * + * This routine also normalizes the result every RENORMCOUNT times it is + * called, to keep error from creeping in. + * + * NOTE: This routine is written so that q1 or q2 may be the same + * as dest (or each other). + */ + +#define RENORMCOUNT 97 + +void +negate_quat(float q[4], float nq[4]) +{ + nq[0] = -q[0]; + nq[1] = -q[1]; + nq[2] = -q[2]; + nq[3] = q[3]; +} + +void +add_quats(float q1[4], float q2[4], float dest[4]) +{ + static int count=0; + float t1[4], t2[4], t3[4]; + float tf[4]; + +#if 0 +printf("q1 = %f %f %f %f\n", q1[0], q1[1], q1[2], q1[3]); +printf("q2 = %f %f %f %f\n", q2[0], q2[1], q2[2], q2[3]); +#endif + + vcopy(q1,t1); + vscale(t1,q2[3]); + + vcopy(q2,t2); + vscale(t2,q1[3]); + + vcross(q2,q1,t3); + vadd(t1,t2,tf); + vadd(t3,tf,tf); + tf[3] = q1[3] * q2[3] - vdot(q1,q2); + +#if 0 +printf("tf = %f %f %f %f\n", tf[0], tf[1], tf[2], tf[3]); +#endif + + dest[0] = tf[0]; + dest[1] = tf[1]; + dest[2] = tf[2]; + dest[3] = tf[3]; + + if (++count > RENORMCOUNT) { + count = 0; + normalize_quat(dest); + } +} + +/* + * Quaternions always obey: a^2 + b^2 + c^2 + d^2 = 1.0 + * If they don't add up to 1.0, dividing by their magnitued will + * renormalize them. + * + * Note: See the following for more information on quaternions: + * + * - Shoemake, K., Animating rotation with quaternion curves, Computer + * Graphics 19, No 3 (Proc. SIGGRAPH'85), 245-254, 1985. + * - Pletinckx, D., Quaternion calculus as a basic tool in computer + * graphics, The Visual Computer 5, 2-13, 1989. + */ +static void +normalize_quat(float q[4]) +{ + int i; + float mag; + + mag = sqrt(q[0]*q[0] + q[1]*q[1] + q[2]*q[2] + q[3]*q[3]); + for (i = 0; i < 4; i++) q[i] /= mag; +} + +/* + * Build a rotation matrix, given a quaternion rotation. + * + */ +void +build_rotmatrix(float m[4][4], float q[4]) +{ + m[0][0] = 1.0 - 2.0 * (q[1] * q[1] + q[2] * q[2]); + m[0][1] = 2.0 * (q[0] * q[1] - q[2] * q[3]); + m[0][2] = 2.0 * (q[2] * q[0] + q[1] * q[3]); + m[0][3] = 0.0; + + m[1][0] = 2.0 * (q[0] * q[1] + q[2] * q[3]); + m[1][1]= 1.0 - 2.0 * (q[2] * q[2] + q[0] * q[0]); + m[1][2] = 2.0 * (q[1] * q[2] - q[0] * q[3]); + m[1][3] = 0.0; + + m[2][0] = 2.0 * (q[2] * q[0] - q[1] * q[3]); + m[2][1] = 2.0 * (q[1] * q[2] + q[0] * q[3]); + m[2][2] = 1.0 - 2.0 * (q[1] * q[1] + q[0] * q[0]); + m[2][3] = 0.0; + + m[3][0] = 0.0; + m[3][1] = 0.0; + m[3][2] = 0.0; + m[3][3] = 1.0; +} + + + +/* + * Compute inverse of 4x4 transformation SINGLE-PRECISION matrix. + * Code contributed by Jacques Leroy + * Code lifted from Brian Paul's Mesa freeware OpenGL implementation. + * Return GL_TRUE for success, GL_FALSE for failure (singular matrix) + */ +GLboolean invertMatrixf(GLfloat *out, const GLfloat *m) +{ +/* NB. OpenGL Matrices are COLUMN major. */ +#define SWAP_ROWS(a, b) { GLdouble *_tmp = a; (a)=(b); (b)=_tmp; } +#define MAT(m,r,c) (m)[(c)*4+(r)] + + GLdouble wtmp[4][8]; + GLdouble m0, m1, m2, m3, s; + GLdouble *r0, *r1, *r2, *r3; + + r0 = wtmp[0], r1 = wtmp[1], r2 = wtmp[2], r3 = wtmp[3]; + + r0[0] = MAT(m,0,0), r0[1] = MAT(m,0,1), + r0[2] = MAT(m,0,2), r0[3] = MAT(m,0,3), + r0[4] = 1.0, r0[5] = r0[6] = r0[7] = 0.0, + + r1[0] = MAT(m,1,0), r1[1] = MAT(m,1,1), + r1[2] = MAT(m,1,2), r1[3] = MAT(m,1,3), + r1[5] = 1.0, r1[4] = r1[6] = r1[7] = 0.0, + + r2[0] = MAT(m,2,0), r2[1] = MAT(m,2,1), + r2[2] = MAT(m,2,2), r2[3] = MAT(m,2,3), + r2[6] = 1.0, r2[4] = r2[5] = r2[7] = 0.0, + + r3[0] = MAT(m,3,0), r3[1] = MAT(m,3,1), + r3[2] = MAT(m,3,2), r3[3] = MAT(m,3,3), + r3[7] = 1.0, r3[4] = r3[5] = r3[6] = 0.0; + + /* choose pivot - or die */ + if (fabs(r3[0])>fabs(r2[0])) SWAP_ROWS(r3, r2); + if (fabs(r2[0])>fabs(r1[0])) SWAP_ROWS(r2, r1); + if (fabs(r1[0])>fabs(r0[0])) SWAP_ROWS(r1, r0); + if (0.0 == r0[0]) { + return GL_FALSE; + } + + /* eliminate first variable */ + m1 = r1[0]/r0[0]; m2 = r2[0]/r0[0]; m3 = r3[0]/r0[0]; + s = r0[1]; r1[1] -= m1 * s; r2[1] -= m2 * s; r3[1] -= m3 * s; + s = r0[2]; r1[2] -= m1 * s; r2[2] -= m2 * s; r3[2] -= m3 * s; + s = r0[3]; r1[3] -= m1 * s; r2[3] -= m2 * s; r3[3] -= m3 * s; + s = r0[4]; + if (s != 0.0) { r1[4] -= m1 * s; r2[4] -= m2 * s; r3[4] -= m3 * s; } + s = r0[5]; + if (s != 0.0) { r1[5] -= m1 * s; r2[5] -= m2 * s; r3[5] -= m3 * s; } + s = r0[6]; + if (s != 0.0) { r1[6] -= m1 * s; r2[6] -= m2 * s; r3[6] -= m3 * s; } + s = r0[7]; + if (s != 0.0) { r1[7] -= m1 * s; r2[7] -= m2 * s; r3[7] -= m3 * s; } + + /* choose pivot - or die */ + if (fabs(r3[1])>fabs(r2[1])) SWAP_ROWS(r3, r2); + if (fabs(r2[1])>fabs(r1[1])) SWAP_ROWS(r2, r1); + if (0.0 == r1[1]) { + return GL_FALSE; + } + + /* eliminate second variable */ + m2 = r2[1]/r1[1]; m3 = r3[1]/r1[1]; + r2[2] -= m2 * r1[2]; r3[2] -= m3 * r1[2]; + r2[3] -= m2 * r1[3]; r3[3] -= m3 * r1[3]; + s = r1[4]; if (0.0 != s) { r2[4] -= m2 * s; r3[4] -= m3 * s; } + s = r1[5]; if (0.0 != s) { r2[5] -= m2 * s; r3[5] -= m3 * s; } + s = r1[6]; if (0.0 != s) { r2[6] -= m2 * s; r3[6] -= m3 * s; } + s = r1[7]; if (0.0 != s) { r2[7] -= m2 * s; r3[7] -= m3 * s; } + + /* choose pivot - or die */ + if (fabs(r3[2])>fabs(r2[2])) SWAP_ROWS(r3, r2); + if (0.0 == r2[2]) { + return GL_FALSE; + } + + /* eliminate third variable */ + m3 = r3[2]/r2[2]; + r3[3] -= m3 * r2[3], r3[4] -= m3 * r2[4], + r3[5] -= m3 * r2[5], r3[6] -= m3 * r2[6], + r3[7] -= m3 * r2[7]; + + /* last check */ + if (0.0 == r3[3]) { + return GL_FALSE; + } + + s = 1.0/r3[3]; /* now back substitute row 3 */ + r3[4] *= s; r3[5] *= s; r3[6] *= s; r3[7] *= s; + + m2 = r2[3]; /* now back substitute row 2 */ + s = 1.0/r2[2]; + r2[4] = s * (r2[4] - r3[4] * m2), r2[5] = s * (r2[5] - r3[5] * m2), + r2[6] = s * (r2[6] - r3[6] * m2), r2[7] = s * (r2[7] - r3[7] * m2); + m1 = r1[3]; + r1[4] -= r3[4] * m1, r1[5] -= r3[5] * m1, + r1[6] -= r3[6] * m1, r1[7] -= r3[7] * m1; + m0 = r0[3]; + r0[4] -= r3[4] * m0, r0[5] -= r3[5] * m0, + r0[6] -= r3[6] * m0, r0[7] -= r3[7] * m0; + + m1 = r1[2]; /* now back substitute row 1 */ + s = 1.0/r1[1]; + r1[4] = s * (r1[4] - r2[4] * m1), r1[5] = s * (r1[5] - r2[5] * m1), + r1[6] = s * (r1[6] - r2[6] * m1), r1[7] = s * (r1[7] - r2[7] * m1); + m0 = r0[2]; + r0[4] -= r2[4] * m0, r0[5] -= r2[5] * m0, + r0[6] -= r2[6] * m0, r0[7] -= r2[7] * m0; + + m0 = r0[1]; /* now back substitute row 0 */ + s = 1.0/r0[0]; + r0[4] = s * (r0[4] - r1[4] * m0), r0[5] = s * (r0[5] - r1[5] * m0), + r0[6] = s * (r0[6] - r1[6] * m0), r0[7] = s * (r0[7] - r1[7] * m0); + + MAT(out,0,0) = r0[4]; MAT(out,0,1) = r0[5], + MAT(out,0,2) = r0[6]; MAT(out,0,3) = r0[7], + MAT(out,1,0) = r1[4]; MAT(out,1,1) = r1[5], + MAT(out,1,2) = r1[6]; MAT(out,1,3) = r1[7], + MAT(out,2,0) = r2[4]; MAT(out,2,1) = r2[5], + MAT(out,2,2) = r2[6]; MAT(out,2,3) = r2[7], + MAT(out,3,0) = r3[4]; MAT(out,3,1) = r3[5], + MAT(out,3,2) = r3[6]; MAT(out,3,3) = r3[7]; + + return GL_TRUE; + +#undef MAT +#undef SWAP_ROWS +} + +/* Transform "in" vector by "m" transform to compute "out" vector. */ +void +transformPosition(TB_Vector *out, TB_Vector *in, float m[4][4]) +{ + float w; + + w = in->x * m[0][3] + in->y * m[1][3] + in->z * m[2][3] + m[3][3]; + out->x = (in->x * m[0][0] + in->y * m[1][0] + in->z * m[2][0] + m[3][0])/w; + out->y = (in->x * m[0][1] + in->y * m[1][1] + in->z * m[2][1] + m[3][1])/w; + out->z = (in->x * m[0][2] + in->y * m[1][2] + in->z * m[2][2] + m[3][2])/w; +} + +/* dst = transpose(src) */ +void +transposeMatrix(GLdouble dst[16], GLdouble src[16]) +{ + dst[0] = src[0]; + dst[1] = src[4]; + dst[2] = src[8]; + dst[3] = src[12]; + + dst[4] = src[1]; + dst[5] = src[5]; + dst[6] = src[9]; + dst[7] = src[13]; + + dst[8] = src[2]; + dst[9] = src[6]; + dst[10] = src[10]; + dst[11] = src[14]; + + dst[12] = src[3]; + dst[13] = src[7]; + dst[14] = src[11]; + dst[15] = src[15]; +} + +/* dst = a + b */ +void +addMatrices(GLdouble dst[16], GLdouble a[16], GLdouble b[16]) +{ + dst[0] = a[0] + b[0]; + dst[1] = a[1] + b[1]; + dst[2] = a[2] + b[2]; + dst[3] = a[3] + b[3]; + + dst[4] = a[4] + b[4]; + dst[5] = a[5] + b[5]; + dst[6] = a[6] + b[6]; + dst[7] = a[7] + b[7]; + + dst[8] = a[8] + b[8]; + dst[9] = a[9] + b[9]; + dst[10] = a[10] + b[10]; + dst[11] = a[11] + b[11]; + + dst[12] = a[12] + b[12]; + dst[13] = a[13] + b[13]; + dst[14] = a[14] + b[14]; + dst[15] = a[15] + b[15]; +} + +/* Build a 4x4 matrix transform based on the parameters for gluLookAt. + * Code lifted from Brian Paul's MesaGLU. + */ +void +buildLookAtMatrix(GLdouble eyex, GLdouble eyey, GLdouble eyez, + GLdouble centerx, GLdouble centery, GLdouble centerz, + GLdouble upx, GLdouble upy, GLdouble upz, GLdouble m[16]) +{ + GLdouble x[3], y[3], z[3]; + GLdouble mag; + + /* Make rotation matrix */ + + /* Z vector */ + z[0] = eyex - centerx; + z[1] = eyey - centery; + z[2] = eyez - centerz; + mag = sqrt( z[0]*z[0] + z[1]*z[1] + z[2]*z[2] ); + if (mag) { /* mpichler, 19950515 */ + z[0] /= mag; + z[1] /= mag; + z[2] /= mag; + } + + /* Y vector */ + y[0] = upx; + y[1] = upy; + y[2] = upz; + + /* X vector = Y cross Z */ + x[0] = y[1]*z[2] - y[2]*z[1]; + x[1] = -y[0]*z[2] + y[2]*z[0]; + x[2] = y[0]*z[1] - y[1]*z[0]; + + /* Recompute Y = Z cross X */ + y[0] = z[1]*x[2] - z[2]*x[1]; + y[1] = -z[0]*x[2] + z[2]*x[0]; + y[2] = z[0]*x[1] - z[1]*x[0]; + + /* mpichler, 19950515 */ + /* cross product gives area of parallelogram, which is < 1.0 for + * non-perpendicular unit-length vectors; so normalize x, y here + */ + + mag = sqrt( x[0]*x[0] + x[1]*x[1] + x[2]*x[2] ); + if (mag) { + x[0] /= mag; + x[1] /= mag; + x[2] /= mag; + } + + mag = sqrt( y[0]*y[0] + y[1]*y[1] + y[2]*y[2] ); + if (mag) { + y[0] /= mag; + y[1] /= mag; + y[2] /= mag; + } + +#define M(row,col) m[col*4+row] + M(0,0) = x[0]; M(0,1) = x[1]; M(0,2) = x[2]; M(0,3) = -x[0]*eyex + -x[1]*eyey + -x[2]*eyez; + M(1,0) = y[0]; M(1,1) = y[1]; M(1,2) = y[2]; M(1,3) = -y[0]*eyex + -y[1]*eyey + -y[2]*eyez; + M(2,0) = z[0]; M(2,1) = z[1]; M(2,2) = z[2]; M(2,3) = -z[0]*eyex + -z[1]*eyey + -z[2]*eyez; + M(3,0) = 0.0; M(3,1) = 0.0; M(3,2) = 0.0; M(3,3) = 1.0; +#undef M +} + +/*** FAST INVERSE SQUARE ROOT ***/ + +/* From "Graphics Gems V", Alan Paeth (Editor) + * ISBN 0125434553/9649-1547332-306386 + * Published by Ap Profession, 1995 + */ + +/* Compute the Inverse Square Root + * of an IEEE Single Precision Floating-Point number. + * + * Written by Ken Turkowski. + */ + +/* Specified parameters */ +#define LOOKUP_BITS 6 /* Number of mantissa bits for lookup */ +#define EXP_POS 23 /* Position of the exponent */ +#define EXP_BIAS 127 /* Bias of exponent */ +/* The mantissa is assumed to be just down from the exponent */ + +/* Derived parameters */ +#define LOOKUP_POS (EXP_POS-LOOKUP_BITS) /* Position of mantissa lookup */ +#define SEED_POS (EXP_POS-8) /* Position of mantissa seed */ +#define TABLE_SIZE (2 << LOOKUP_BITS) /* Number of entries in table */ +#define LOOKUP_MASK (TABLE_SIZE - 1) /* Mask for table input */ +#define GET_EXP(a) (((a) >> EXP_POS) & 0xFF) /* Extract exponent */ +#define SET_EXP(a) ((a) << EXP_POS) /* Set exponent */ +#define GET_EMANT(a) (((a) >> LOOKUP_POS) & LOOKUP_MASK) /* Extended mantissa + * MSB's */ +#define SET_MANTSEED(a) (((unsigned long)(a)) << SEED_POS) /* Set mantissa + * 8 MSB's */ + +static unsigned char iSqrt[TABLE_SIZE]; + +union _flint { + unsigned long i; + float f; +} _fi, _fo; + +void makeInverseSqrtLookupTable() +{ + register long f; + register unsigned char *h; + union _flint fi, fo; + + h = iSqrt; + for (f = 0, h = iSqrt; f < TABLE_SIZE; f++) { + fi.i = ((EXP_BIAS-1) << EXP_POS) | (f << LOOKUP_POS); + fo.f = (float) (1.0 / sqrt(fi.f)); + *h++ = (unsigned char) + (((fo.i + (1<<(SEED_POS-2))) >> SEED_POS) & 0xFF); /* rounding */ + } + iSqrt[TABLE_SIZE / 2] = 0xFF; /* Special case for 1.0 */ +} + +/* The following returns the inverse square root. */ +static float invSqrt(float x) +{ + unsigned long a = ((union _flint*)(&x))->i; + float arg = x; + union _flint seed; + float r; + + seed.i = SET_EXP(((3*EXP_BIAS-1) - GET_EXP(a)) >> 1) + | SET_MANTSEED(iSqrt[GET_EMANT(a)]); + + /* Seed: accurate to LOOKUP_BITS */ + r = seed.f; + + /* First iteration: accurate to 2*LOOKUP_BITS */ + r = (float) ((3.0 - r * r * arg) * r * 0.5); + +#if 0 /* Wow! We don't need this much precision! */ + /* Second iteration: accurate to 4*LOOKUP_BITS */ + r = (float) ((3.0 - r * r * arg) * r * 0.5); +#endif + + return r; +} + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/trackball.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/trackball.h.svn-base new file mode 100644 index 0000000..edc242d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/.svn/text-base/trackball.h.svn-base @@ -0,0 +1,104 @@ +/* + * (c) Copyright 1993, 1994, Silicon Graphics, Inc. + * ALL RIGHTS RESERVED + * Permission to use, copy, modify, and distribute this software for + * any purpose and without fee is hereby granted, provided that the above + * copyright notice appear in all copies and that both the copyright notice + * and this permission notice appear in supporting documentation, and that + * the name of Silicon Graphics, Inc. not be used in advertising + * or publicity pertaining to distribution of the software without specific, + * written prior permission. + * + * THE MATERIAL EMBODIED ON THIS SOFTWARE IS PROVIDED TO YOU "AS-IS" + * AND WITHOUT WARRANTY OF ANY KIND, EXPRESS, IMPLIED OR OTHERWISE, + * INCLUDING WITHOUT LIMITATION, ANY WARRANTY OF MERCHANTABILITY OR + * FITNESS FOR A PARTICULAR PURPOSE. IN NO EVENT SHALL SILICON + * GRAPHICS, INC. BE LIABLE TO YOU OR ANYONE ELSE FOR ANY DIRECT, + * SPECIAL, INCIDENTAL, INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY + * KIND, OR ANY DAMAGES WHATSOEVER, INCLUDING WITHOUT LIMITATION, + * LOSS OF PROFIT, LOSS OF USE, SAVINGS OR REVENUE, OR THE CLAIMS OF + * THIRD PARTIES, WHETHER OR NOT SILICON GRAPHICS, INC. HAS BEEN + * ADVISED OF THE POSSIBILITY OF SUCH LOSS, HOWEVER CAUSED AND ON + * ANY THEORY OF LIABILITY, ARISING OUT OF OR IN CONNECTION WITH THE + * POSSESSION, USE OR PERFORMANCE OF THIS SOFTWARE. + * + * US Government Users Restricted Rights + * Use, duplication, or disclosure by the Government is subject to + * restrictions set forth in FAR 52.227.19(c)(2) or subparagraph + * (c)(1)(ii) of the Rights in Technical Data and Computer Software + * clause at DFARS 252.227-7013 and/or in similar or successor + * clauses in the FAR or the DOD or NASA FAR Supplement. + * Unpublished-- rights reserved under the copyright laws of the + * United States. Contractor/manufacturer is Silicon Graphics, + * Inc., 2011 N. Shoreline Blvd., Mountain View, CA 94039-7311. + * + * OpenGL(TM) is a trademark of Silicon Graphics, Inc. + */ +/* + * trackball.h + * A virtual trackball implementation + * Written by Gavin Bell for Silicon Graphics, November 1988. + */ + +#include + +typedef struct { + GLfloat x; + GLfloat y; + GLfloat z; +} TB_Vector; + +typedef struct { + TB_Vector position; + TB_Vector tangentSpaceLightVector; + TB_Vector tangentSpaceHalfAngleVector; + GLshort s, t; +} TB_Vertex; + +/* + * Pass the x and y coordinates of the last and current positions of + * the mouse, scaled so they are from (-1.0 ... 1.0). + * + * The resulting rotation is returned as a quaternion rotation in the + * first paramater. + */ +void +trackball(float q[4], float p1x, float p1y, float p2x, float p2y); + +void +negate_quat(float *q, float *qn); + +/* + * Given two quaternions, add them together to get a third quaternion. + * Adding quaternions to get a compound rotation is analagous to adding + * translations to get a compound translation. When incrementally + * adding rotations, the first argument here should be the new + * rotation, the second and third the total rotation (which will be + * over-written with the resulting new total rotation). + */ +void +add_quats(float *q1, float *q2, float *dest); + +/* + * A useful function, builds a rotation matrix in Matrix based on + * given quaternion. + */ +void build_rotmatrix(float m[4][4], float q[4]); + +/* + * This function computes a quaternion based on an axis (defined by + * the given vector) and an angle about which to rotate. The angle is + * expressed in radians. The result is put into the third argument. + */ +void axis_to_quat(float a[3], float phi, float q[4]); + + +void transformPosition(TB_Vector *out, TB_Vector *in, float m[4][4]); +void transposeMatrix(GLdouble dst[16], GLdouble src[16]); +void addMatrices(GLdouble dst[16], GLdouble a[16], GLdouble b[16]); +void buildLookAtMatrix(GLdouble eyex, GLdouble eyey, GLdouble eyez, + GLdouble centerx, GLdouble centery, GLdouble centerz, + GLdouble upx, GLdouble upy, GLdouble upz, GLdouble m[16]); +GLboolean invertMatrixf(GLfloat *out, const GLfloat *m); +void makeInverseSqrtLookupTable(void); +float invSqrt(float x); diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_ASELoader.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_ASELoader.cpp new file mode 100644 index 0000000..6fbb181 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_ASELoader.cpp @@ -0,0 +1,395 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_ASELoader.cpp + * \brief Definition of class \c GW_ASELoader + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_ASELoader.cpp(c) Gabriel Peyré 2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_ASELoader.h" + +using namespace GW; + +const char *GW_ASELoader::mNumVertex = "*MESH_NUMVERTEX"; +const char *GW_ASELoader::mNumFaces = "*MESH_NUMFACES"; +const char *GW_ASELoader::mNumTVertex = "*MESH_NUMTVERTEX"; +const char *GW_ASELoader::mNumTFaces = "*MESH_NUMTVFACES"; +const char *GW_ASELoader::mVertexList = "*MESH_VERTEX_LIST"; +const char *GW_ASELoader::mVertex = "*MESH_VERTEX"; +const char *GW_ASELoader::mFaceList = "*MESH_FACE_LIST"; +const char *GW_ASELoader::mFace = "*MESH_FACE"; +const char *GW_ASELoader::mNormals = "*MESH_NORMALS"; +const char *GW_ASELoader::mFaceNormal = "*MESH_FACENORMAL"; +const char *GW_ASELoader::mNVertex = "*MESH_VERTEXNORMAL"; +const char *GW_ASELoader::mTVert = "*MESH_TVERT"; +const char *GW_ASELoader::mTFace = "*MESH_TFACE"; +const char *GW_ASELoader::mTexture = "*BITMAP"; +const char *GW_ASELoader::mUTile = "*UVW_U_TILING"; +const char *GW_ASELoader::mVTile = "*UVW_V_TILING"; +const char *GW_ASELoader::mUOffset = "*UVW_U_OFFSET"; +const char *GW_ASELoader::mVOffset = "*UVW_V_OFFSET"; + +void GW_ASELoader::Allocate() +{ + verts = new GW_Real32[numVerts * 3]; + faces = new GW_U32[numFaces * 3]; + + if (want & kTexCoord) + { + texVerts = new GW_Real32[numTexVerts * 2]; + texFaces = new GW_U32[numTexFaces * 3]; + } +} + +void GW_ASELoader::Delete() +{ + delete [] verts; + delete [] texVerts; + delete [] vertNorms; + delete [] faces; + delete [] texFaces; + + verts = texVerts = vertNorms = 0; + faces = texFaces = 0; +} + +void GW_ASELoader::GetData(FILE *strm) +{ + char data[255]; + + rewind(strm); + + while (!feof (strm)) + { + fscanf(strm, "%s", &data); + + if (!strcmp(data, mVertex)) + GetVertex(strm); + else if (want & kTexCoord && !strcmp(data, mTVert)) + GetTVertex (strm); + else if (!strcmp(data, mFace)) + GetFace(strm); + else if (want & kTexCoord && !strcmp(data, mTFace)) + GetTFace(strm); + else if (!strcmp(data, mUTile)) + texUTile = GetFloatVal(strm); + else if (!strcmp(data, mVTile)) + texVTile = GetFloatVal(strm); + else if (!strcmp(data, mUOffset)) + texUOffset = GetFloatVal(strm); + else if (!strcmp (data, mVOffset)) + texVOffset = GetFloatVal(strm); + else fgets(data, 255, strm); + } +} + +void GW_ASELoader::GetInfo(FILE *strm) +{ + char data[255]; + + rewind(strm); + + while (!feof(strm)) + { + fscanf(strm, "%s", &data); + + if (!strcmp(data, mNumVertex)) + fscanf(strm, "%d", &numVerts); + else if (!strcmp(data, mNumFaces)) + fscanf(strm, "%d", &numFaces); + else if (!strcmp(data, mNumTVertex)) + fscanf(strm, "%d", &numTexVerts); + else if (!strcmp(data, mNumTFaces)) + fscanf(strm, "%d", &numTexFaces); + else fgets(data, 255, strm); + } + + if (want & kTexCoord && !numTexVerts) + want &= ~kTexCoord; +} + +void GW_ASELoader::GetVertex(FILE *strm) +{ + GW_I32 index; + + fscanf(strm, "%d", &index); + // swap y and z cause 3dsm likes too + fscanf(strm, "%f %f %f", &verts[index * 3 + 0], &verts[index * 3 + 2], + &verts[index * 3 + 1]); + + // in 3dsm negative z goes out of the screen, we want it to go in + verts[3 * index + 2] = -verts[3 * index + 2]; +} + +void GW_ASELoader::GetFace(FILE *strm) +{ + GW_I32 index; + + fscanf(strm, "%d:", &index); + + fscanf(strm, "\tA:\t%d B:\t%d C:\t%d", &faces[3 * index + 0], + &faces[3 * index + 1], &faces[3 * index + 2]); +} + +void GW_ASELoader::GetTFace(FILE *strm) +{ + GW_I32 index; + + fscanf(strm, "%d", &index); + + fscanf(strm, "%d %d %d", &texFaces[index * 3 + 0], &texFaces[3 * index + 1], + &texFaces[3 * index + 2]); +} + +void GW_ASELoader::GetTVertex(FILE *strm) +{ + GW_I32 index; + + // we ignore the z value, no idea what it does + fscanf(strm, "%d", &index); + fscanf(strm, "%f %f", &texVerts[2 * index + 0], &texVerts[2 * index +1]); + + if (texUTile) + texVerts[2 * index + 0] *= texUTile; + + if (texVTile) + texVerts[2 * index + 1] *= texVTile; +} + +GW_Real32 GW_ASELoader::GetFloatVal(FILE *strm) +{ + GW_Real32 v; + + fscanf (strm, " %f", &v); + + return v; +} + +void GW_ASELoader::Align() +{ + GW_U32 *pFace = faces; + GW_U32 *pTex = texFaces; + GW_Real32 *newVerts; + GW_Real32 *newNorms; + + numVerts = numTexVerts; + newVerts = new GW_Real32[numVerts * 3]; + + if (want & kNormals) + newNorms = new GW_Real32[numVerts * 3]; + + for (GW_I32 cnt = 0; cnt < numFaces * 3; cnt++, pFace++, pTex++) + { + newVerts[3 * pTex[0] + 0] = verts[3 * pFace[0] + 0]; + newVerts[3 * pTex[0] + 1] = verts[3 * pFace[0] + 1]; + newVerts[3 * pTex[0] + 2] = verts[3 * pFace[0] + 2]; + + if (want & kNormals) + { + newNorms[3 * pTex[0] + 0] = vertNorms[3 * pFace[0] + 0]; + newNorms[3 * pTex[0] + 1] = vertNorms[3 * pFace[0] + 1]; + newNorms[3 * pTex[0] + 2] = vertNorms[3 * pFace[0] + 2]; + } + } + + if (faces) + delete [] faces; + if (verts) + delete [] verts; + + faces = texFaces; + verts = newVerts; + texFaces = 0; + + if (want & kNormals && vertNorms) + { + GW_DELETEARRAY( vertNorms ); + vertNorms = newNorms; + } +} + +void GW_ASELoader::MakeNormals() +{ + GW_Vector3D *fNorms = NULL; + GW_Real32 *vNorms = NULL; + GW_Vector3D a, b, c, p, q; + GW_Vector3D sum(0, 0, 0); + GW_Real32 *pt1 = NULL, *pt2 = NULL, *pt3 = NULL; + GW_U32 *pFace; + GW_I32 cnt, pos; + GW_I32 incident = 0; + + fNorms = new GW_Vector3D[numFaces]; + vNorms = new GW_Real32[3*numVerts]; + + // find face normals for our model, used to find vert normals + for (cnt = 0; cnt < numFaces; cnt++) + { + pt1 = verts + faces[cnt * 3 + 0] * 3; + pt2 = verts + faces[cnt * 3 + 1] * 3; + pt3 = verts + faces[cnt * 3 + 2] * 3; + a.SetCoord(pt1[0], pt1[1], pt1[2]); + b.SetCoord(pt2[0], pt2[1], pt2[2]); + c.SetCoord(pt3[0], pt3[1], pt3[2]); + + p = b - a; + q = c - a; + + fNorms[cnt] = p ^ q; + fNorms[cnt].Normalize(); + } + + // find vertex normals + for (cnt = 0; cnt < numVerts; cnt++) + { + for(pos = 0; pos < numFaces; pos++) + { + pFace = faces + pos * 3; + + if(pFace[0] == (GW_U32) cnt || pFace[1] == (GW_U32) cnt || + pFace[2] == (GW_U32) cnt) + { + incident++; + sum += fNorms[pos]; + } + } + + sum = - sum / ((GW_Real32) incident); + sum.Normalize(); + vNorms[3*cnt] = (GW_Real32) sum[0]; + vNorms[3*cnt+1] = (GW_Real32) sum[1]; + vNorms[3*cnt+2] = (GW_Real32) sum[2]; + sum.SetCoord(0,0,0); + incident = 0; + } + + GW_DELETEARRAY( fNorms ); + + vertNorms = (GW_Real32 *) vNorms; +} + +GW_ASELoader::GW_ASELoader() +{ + want = numVerts = numFaces = numTexFaces = numTexVerts = numIndex = 0; + verts = texVerts = vertNorms = 0; + faces = texFaces = 0; + texUTile = texVTile = texUOffset = texVOffset = 0; +} + +GW_ASELoader::~GW_ASELoader() +{ + Delete(); +} + +void GW_ASELoader::Release() +{ + Delete(); + want = numVerts = numFaces = numTexFaces = numTexVerts = numIndex = 0; + texUTile = texVTile = texUOffset = texVOffset = 0; +} + +GW_I32 GW_ASELoader::Load(GW_Mesh& Mesh, const char *name, GW_I32 bits) +{ + FILE *strm = fopen(name, "r"); + + if (!strm) + return GW_Error_Opening_File; + + Release(); + + want = bits; + + GetInfo(strm); + Allocate(); + GetData(strm); + + fclose(strm); + + if (want & kNormals) + MakeNormals(); + + if (want & kTexCoord && numTexVerts) + Align(); + else if (want & kTexCoord && !numTexVerts) + return 0; + + numIndex = numFaces * 3; + + /* retrieve information */ + Mesh.SetNbrVertex( this->GetNumVerts() ); + Mesh.SetNbrFace( this->GetNumFaces() ); + GW_U32* pFace = this->GetFaces(); + GW_Real32* pVert = this->GetVerts(); + GW_Real32* pNormal = this->GetVertNormals(); + GW_Real32* pTexture = this->GetTexture(); + GW_Vertex* pCurVert = NULL; + GW_Vector3D Pos, Normal; + + std::map VertCorrespondance; + + /* load vertex */ + for( GW_I32 i=0; iGetNumVerts(); ++i ) + { + Pos = GW_Vector3D( pVert[3*i], pVert[3*i+1], pVert[3*i+2] ); + /* this is to avoid an annoying problem of vertex duplication */ + for( GW_I32 j=0; jSetPosition( Pos ); + pCurVert->SetNormal( Normal ); + if( want & kTexCoord ) + { + for( GW_U32 s=0; s<1; ++s ) + { + if( pTexture[2*i+s]<0 ) + pTexture[2*i+s] += 1; + if( pTexture[2*i+s]>1 ) + pTexture[2*i+s] -= 1; + } + pCurVert->SetTexCoords( pTexture[2*i+0], pTexture[2*i+1] ); + } + Mesh.SetVertex( i, pCurVert ); + } + /* load faces */ + GW_Face* pCurFace = NULL; + for( GW_I32 i=0; iGetNumFaces(); ++i ) + { + pCurFace = &Mesh.CreateNewFace(); + GW_U32 FaceNumber[3]; + for( GW_U32 s=0; s<3; ++s ) + { + FaceNumber[s] = pFace[3*i+s]; + if( VertCorrespondance.find(FaceNumber[s])!=VertCorrespondance.end() ) + FaceNumber[s] = VertCorrespondance[FaceNumber[s]]; + } + + pCurFace->SetVertex( *Mesh.GetVertex(FaceNumber[0]), + *Mesh.GetVertex(FaceNumber[1]), + *Mesh.GetVertex(FaceNumber[2]) ); + Mesh.SetFace( i, pCurFace ); + } + + return GW_OK; +} + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_ASELoader.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_ASELoader.h new file mode 100644 index 0000000..26dc308 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_ASELoader.h @@ -0,0 +1,123 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_ASELoader.h + * \brief Definition of class \c GW_ASELoader + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef __GW_ASELoader__ +#define __GW_ASELoader__ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Mesh.h" + +GW_BEGIN_NAMESPACE + +class GW_ASELoader +{ +public: + + GW_ASELoader(); + virtual ~GW_ASELoader(); + + GW_I32 Load(GW_Mesh& Mesh, const char *name, GW_I32 bits = kTexCoord | kNormals); + +protected: + + class aseFace_t + { + public: + aseFace_t(GW_I32 n1, GW_I32 n2, GW_I32 n3) : ndx1(n1), ndx2(n2), ndx3(n3) {} + GW_I32 ndx1, ndx2, ndx3; + }; + + + void Release(); + + GW_Real32 *GetVerts() const {return verts;} + GW_U32 *GetFaces() const {return faces;} + GW_Real32 *GetVertNormals() const {return vertNorms;} + GW_Real32 *GetTexture() const {return texVerts;} + GW_I32 GetNumFaces() const {return numFaces;} + GW_I32 GetNumVerts() const {return numVerts;} + + aseFace_t GetFace(GW_I32 num) const + { + return aseFace_t(3 * num + 0, 3 * num + 1, 3 * num + 2); + } + + GW_Vector3D GetVertex(GW_I32 num) const + { + return GW_Vector3D(verts[3 * num + 0], verts[3 * num + 1], verts[3 * num + 2]); + } + + GW_I32 GetNumIndex() {return numIndex;} + + enum T_LoadingFlag + { + kTexCoord = 0x01, + kNormals = 0x02 + }; + + void Allocate(); + void Delete(); + void GetData (FILE *strm); + void GetInfo(FILE *strm); + void GetVertex(FILE *strm); + void GetFace(FILE *strm); + void GetTFace(FILE *strm); + void GetTVertex (FILE *strm); + GW_Real32 GetFloatVal (FILE *strm); + void Align(); + void MakeNormals(); + + static const char *mNumVertex; + static const char *mNumFaces; + static const char *mNumTVertex; + static const char *mNumTFaces; + static const char *mVertexList; + static const char *mVertex; + static const char *mFaceList; + static const char *mFace; + static const char *mNormals; + static const char *mFaceNormal; + static const char *mNVertex; + static const char *mTVert; + static const char *mTFace; + static const char *mTexture; + static const char *mUTile; + static const char *mVTile; + static const char *mUOffset; + static const char *mVOffset; + + GW_I32 want; + GW_I32 numVerts; + GW_I32 numFaces; + GW_I32 numTexFaces; + GW_I32 numTexVerts; + GW_I32 numIndex; + GW_Real32 *verts; + GW_Real32 *texVerts; + GW_Real32 *vertNorms; + GW_U32 *faces; + GW_U32 *texFaces; + + GW_Real32 texUTile; + GW_Real32 texVTile; + GW_Real32 texUOffset; + GW_Real32 texVOffset; +}; + +GW_END_NAMESPACE + +#endif // #ifdef __GW_ASELoader__ + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_BasicDisplayer.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_BasicDisplayer.cpp new file mode 100644 index 0000000..5dfe6dd --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_BasicDisplayer.cpp @@ -0,0 +1,413 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_BasicDisplayer.cpp + * \brief Definition of class \c GW_BasicDisplayer + * \author Gabriel Peyré + * \date 3-28-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_BasicDisplayer.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_BasicDisplayer.h" + +#ifndef GW_USE_INLINE + #include "GW_BasicDisplayer.inl" +#endif + +using namespace GW; + +/*------------------------------------------------------------------------------*/ +// Name : GW_BasicDisplayer::DisplayMesh +/** + * \param Mesh [GW_Mesh&] The mesh. + * \author Gabriel Peyré + * \date 3-28-2003 + * + * Basic display of a whole mesh. + */ +/*------------------------------------------------------------------------------*/ +#include +void GW_BasicDisplayer::DisplayMesh(GW_Mesh& Mesh) +{ + GW_Face* pFace = NULL; + GW_Vertex* pVert = NULL; + GW_Vector3D* vect = NULL; + GW_Vector3D TempVect; + if( bProrieties[kLighting] && !bProrieties[kForceMonoColor] ) + glEnable(GL_LIGHTING); + else + glDisable(GL_LIGHTING); + glColorMaterial( GL_FRONT_AND_BACK, GL_AMBIENT_AND_DIFFUSE ); + glEnable( GL_COLOR_MATERIAL ); + if( !bProrieties[kUseFlatLighting] ) + { + #define SPECULAR_COLOR 1 + GLfloat aSpecular[4] = {SPECULAR_COLOR,SPECULAR_COLOR,SPECULAR_COLOR,1}; + glMaterialfv(GL_FRONT_AND_BACK, GL_SPECULAR, (GLfloat*) aSpecular); + glMaterialf(GL_FRONT_AND_BACK, GL_SHININESS, 100); + if( VertexArray_!=NULL && FaceArray_!=NULL ) + { + /* flush vertex array */ +#if 1 + if( !bProrieties[kForceMonoColor] ) + glInterleavedArrays( GL_T2F_C4F_N3F_V3F, 0, VertexArray_ ); + else + { + glVertexPointer( 3, GL_FLOAT, VCN_OFFSET*sizeof(GLfloat), &VertexArray_[V_OFFSET] ); + glNormalPointer( GL_FLOAT, VCN_OFFSET*sizeof(GLfloat), &VertexArray_[N_OFFSET] ); + glTexCoordPointer( 2, GL_FLOAT, VCN_OFFSET*sizeof(GLfloat), &VertexArray_[T_OFFSET] ); + glEnableClientState( GL_VERTEX_ARRAY ); + glEnableClientState( GL_NORMAL_ARRAY ); + glEnableClientState( GL_TEXTURE_COORD_ARRAY ); + glDisableClientState( GL_COLOR_ARRAY ); + } + glDrawElements( GL_TRIANGLES, 3*nNbrFace_, GL_UNSIGNED_INT, FaceArray_ ); +#else // zap long edge + + glInterleavedArrays( GL_T2F_C4F_N3F_V3F, 0, VertexArray_ ); + for( GW_U32 i=0; iComputeNormal(); + GW_Float l = ~( pFace->GetVertex(0)->GetPosition()-pFace->GetVertex(1)->GetPosition() ); + l = GW_MAX( l, ~( pFace->GetVertex(0)->GetPosition()-pFace->GetVertex(2)->GetPosition() ) ); + l = GW_MAX( l, ~( pFace->GetVertex(1)->GetPosition()-pFace->GetVertex(2)->GetPosition() ) ); + if( l<1.2 ) + glDrawElements( GL_TRIANGLES, 3, GL_UNSIGNED_INT, FaceArray_+3*i ); + } + + // buggy code ??? + /* glBegin(GL_TRIANGLES); + for( GW_U32 i=0; iComputeNormal(); + GW_Float l = ~( pFace->GetVertex(0)->GetPosition()-pFace->GetVertex(1)->GetPosition() ); + l = GW_MAX( l, ~( pFace->GetVertex(0)->GetPosition()-pFace->GetVertex(2)->GetPosition() ) ); + l = GW_MAX( l, ~( pFace->GetVertex(1)->GetPosition()-pFace->GetVertex(2)->GetPosition() ) ); + if( l<1.2 ) + { + float color[4]; + for( GW_U32 k=0; k<3; ++k ) + { + ComputeColor( *pFace->GetVertex(k), (float*) color ); + glColor3fv( (float*) color); + glNormal( *pFace->GetVertex(k) ); + glTexCoord2d( pFace->GetVertex(k)->GetTexCoordU(), pFace->GetVertex(k)->GetTexCoordV() ); + // glTexCoord( *pFace->GetVertex(0) ); + glVertex( *pFace->GetVertex(k) ); + } + } + } + glEnd(); */ +#endif + } + } + else + { + if( !bProrieties[kForceMonoColor] ) + glColor(GW_Vector3D(1,1,1)); + glBegin(GL_TRIANGLES); + for( GW_U32 i=0; iComputeNormal(); + glNormal(n); + glVertex( *pFace->GetVertex(0) ); + glNormal(n); + glVertex( *pFace->GetVertex(1) ); + glNormal(n); + glVertex( *pFace->GetVertex(2) ); + } + glEnd(); + } + + /* display the edges */ + if( bProrieties[kBoundaries] ) + { + GW_Bool bIsTextureOn = glIsEnabled( GL_TEXTURE_2D ); + glDisable( GL_TEXTURE_2D ); + + glDisable( GL_LIGHTING ); + glColor3f( 1,0,0 ); + glLineWidth( 3 ); + glBegin( GL_LINES ); + for( GW_U32 i = 0; iGetFaceNeighbor(s)==NULL ) + { + GW_Vertex* pVert1 = pFace->GetVertex((s+1)%3); GW_ASSERT( pVert1!=NULL ); + GW_Vertex* pVert2 = pFace->GetVertex((s+2)%3); GW_ASSERT( pVert2!=NULL ); + if( ~(pVert1->GetPosition()-pVert2->GetPosition())<0.2 ) + { + glVertex( pVert1->GetPosition() ); + glVertex( pVert2->GetPosition() ); + } + } + } + } + glEnd(); + glEnable( GL_LIGHTING ); + if( bIsTextureOn ) + glEnable( GL_TEXTURE_2D ); + } + + /* draw the normals and so on */ + if( bProrieties[kNormal] || bProrieties[kMinCurvDirection] || bProrieties[kMaxCurvDirection] ) + { + glDisable(GL_LIGHTING); + glBegin( GL_LINES ); + for( GW_U32 i = 0; iGetFace()!=NULL ) + { + if( bProrieties[kNormal] ) + { + glColor3f( 0,1,0 ); + glVertex( pVert->GetPosition() ); + glVertex( pVert->GetPosition() + pVert->GetNormal()*rVectorScaling_ ); + } + if( bProrieties[kMinCurvDirection] ) + { + glColor3f( 0,0,1 ); + glVertex( pVert->GetPosition() ); + glVertex( pVert->GetPosition() + pVert->GetMinCurvDirection()*rVectorScaling_ ); + } + if( bProrieties[kMaxCurvDirection] ) + { + glColor3f( 1,0,0 ); + glVertex( pVert->GetPosition() ); + glVertex( pVert->GetPosition() + pVert->GetMaxCurvDirection()*rVectorScaling_ ); + } + } + } + glEnd(); + glEnable(GL_LIGHTING); + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_BasicDisplayer::DisplayFace +/** + * \param Face [GW_Face&] The face. + * \author Gabriel Peyré + * \date 3-28-2003 + * + * Display a single face. + */ +/*------------------------------------------------------------------------------*/ +void GW_BasicDisplayer::DisplayFace(GW_Face& Face) +{ + GW_Vertex* pVert = NULL; + GW_Vector3D* vect = NULL; + + glBegin( GL_TRIANGLES ); + for( GW_U32 v=0; v<3; ++v ) + { + pVert = Face.GetVertex(v); + glNormal( *pVert ); + glVertex( *pVert ); + } + glEnd(); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_BasicDisplayer::ComputeColor +/** + * \param pVert [GW_Vertex&] The vertex. + * \param color [GLfloat*] The color. + * \author Gabriel Peyré + * \date 4-3-2003 + * + * Assign a color to a vertex according to it's curv info. + */ +/*------------------------------------------------------------------------------*/ +void GW_BasicDisplayer::ComputeColor( GW_Vertex& Vert, float* color ) +{ + color[0] = color[1] = color[2] = 0; + if( bProrieties[kMaxCurv] ) + color[0] = (float) GW_SCALE_01(Vert.GetMaxCurv(), aMinValue_[kMaxCurv], aMaxValue_[kMaxCurv]); + if( bProrieties[kGaussianCurv] ) + color[1] = (float) GW_SCALE_01(Vert.GetGaussianCurv(), aMinValue_[kGaussianCurv], aMaxValue_[kGaussianCurv]); + if( bProrieties[kMeanCurv] ) + color[1] = (float) GW_SCALE_01(Vert.GetMeanCurv(), aMinValue_[kMeanCurv], aMaxValue_[kMeanCurv]); + if( bProrieties[kMinCurv] ) + color[2] = (float) 1-GW_SCALE_01(Vert.GetMinCurv(), aMinValue_[kMinCurv], aMaxValue_[kMinCurv]); + if( bProrieties[kMaxAbsCurv] ) + color[0] = color[1] = color[2] = (float) GW_SCALE_01( GW_MAX(GW_ABS(Vert.GetMinCurv()),GW_ABS(Vert.GetMaxCurv())), aMinValue_[kMaxAbsCurv], aMaxValue_[kMaxAbsCurv]); + if( !bProrieties[kMaxCurv] && !bProrieties[kGaussianCurv] && + !bProrieties[kMeanCurv] && !bProrieties[kMinCurv] && !bProrieties[kMaxAbsCurv] ) + color[0] = color[1] = color[2] = 1; + if( pComputeColorCallback_ ) + pComputeColorCallback_(Vert, color); +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_BasicDisplayer::SetUpDraw +/** + * \param Mesh [GW_Mesh&] Mesh to draw. + * \author Gabriel Peyré + * \date 4-3-2003 + * + * Compute the scaling factors for each propriety. + */ +/*------------------------------------------------------------------------------*/ +void GW_BasicDisplayer::SetUpDraw(GW_Mesh& Mesh) +{ +#if 1 + for( GW_U32 i=0; iGetMinCurv(); + aMaxValue_[kMaxCurv] += pVert->GetMaxCurv(); + aMaxValue_[kGaussianCurv] += pVert->GetGaussianCurv(); + aMaxValue_[kMeanCurv] += pVert->GetMeanCurv(); + aMaxValue_[kMaxAbsCurv] += pVert->GetMaxAbsCurv(); + } + aMaxValue_[kMinCurv] /= Mesh.GetNbrVertex(); + aMaxValue_[kMaxCurv] /= Mesh.GetNbrVertex(); + aMaxValue_[kGaussianCurv] /= Mesh.GetNbrVertex(); + aMaxValue_[kMeanCurv] /= Mesh.GetNbrVertex(); + aMaxValue_[kMaxAbsCurv] /= Mesh.GetNbrVertex(); + + /* comute mean deviation and store it in aMinValue_ */ + for( GW_U32 i = 0; iGetMinCurv()-aMaxValue_[kMinCurv])*(pVert->GetMinCurv()-aMaxValue_[kMinCurv]); + aMinValue_[kMaxCurv] += (pVert->GetMaxCurv()-aMaxValue_[kMaxCurv])*(pVert->GetMaxCurv()-aMaxValue_[kMaxCurv]); + aMinValue_[kGaussianCurv] += (pVert->GetGaussianCurv()-aMaxValue_[kGaussianCurv])*(pVert->GetGaussianCurv()-aMaxValue_[kGaussianCurv]); + aMinValue_[kMeanCurv] += (pVert->GetMeanCurv()-aMaxValue_[kMeanCurv])*(pVert->GetMeanCurv()-aMaxValue_[kMeanCurv]); + aMinValue_[kMaxAbsCurv] += (pVert->GetMaxAbsCurv()-aMaxValue_[kMaxAbsCurv])*(pVert->GetMaxAbsCurv()-aMaxValue_[kMaxAbsCurv]); + } + + for( GW_U32 i=0; iGet##name()>aMinValue_[k##name] ) aMinValue_[k##name] = pVert->Get##name(); \ + if( pVert->Get##name()Get##name(); + + for( GW_U32 i = 0; iGetPosition()[0]; + VertexArray_[VCN_OFFSET*i+1+V_OFFSET] = (GLfloat) pVert->GetPosition()[1]; + VertexArray_[VCN_OFFSET*i+2+V_OFFSET] = (GLfloat) pVert->GetPosition()[2]; + VertexArray_[VCN_OFFSET*i+0+N_OFFSET] = (GLfloat) pVert->GetNormal()[0]; + VertexArray_[VCN_OFFSET*i+1+N_OFFSET] = (GLfloat) pVert->GetNormal()[1]; + VertexArray_[VCN_OFFSET*i+2+N_OFFSET] = (GLfloat) pVert->GetNormal()[2]; + VertexArray_[VCN_OFFSET*i+0+T_OFFSET] = (GLfloat) pVert->GetTexCoordU(); + VertexArray_[VCN_OFFSET*i+1+T_OFFSET] = (GLfloat) pVert->GetTexCoordV(); + } + for( GW_U32 i=0; iGetVertex(j); + GW_ASSERT( pVert!=NULL ); + FaceArray_[3*i+j] = pVert->GetID(); + } + } + + this->BuildColorArray( Mesh ); +} + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_BasicDisplayer.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_BasicDisplayer.h new file mode 100644 index 0000000..45bb1d6 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_BasicDisplayer.h @@ -0,0 +1,137 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_BasicDisplayer.h + * \brief Definition of class \c GW_BasicDisplayer + * \author Gabriel Peyré + * \date 3-28-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_BASICDISPLAYER_H_ +#define _GW_BASICDISPLAYER_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Mesh.h" +#include "GW_OpenGLHelper.h" +#include + + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_BasicDisplayer + * \brief Basic display of a mesh. Can be overloaded. + * \author Gabriel Peyré + * \date 3-28-2003 + * + * Just flush faces to OpenGL. + */ +/*------------------------------------------------------------------------------*/ + +class GW_BasicDisplayer +{ + +public: + + GW_BasicDisplayer(); + virtual ~GW_BasicDisplayer(); + + virtual void DisplayMesh(GW_Mesh& Mesh); + virtual void DisplayFace(GW_Face& Face); + virtual void ComputeColor( GW_Vertex& pVert, float* color ); + virtual void SetUpDraw(GW_Mesh& Mesh); + + #define GW_DISPLAYER_NBR_PTIES 17 + enum T_DisplayerProprieties + { + kNormal, + kMinCurvDirection, + kMaxCurvDirection, + kMinCurv, + kMaxCurv, + kMeanCurv, + kGaussianCurv, + kMaxAbsCurv, + kLighting, + kGeodesicDistance, + kBoundaries, + kMarchingState, + kForceMonoColor, + kVertexParametrization, + kStoppingVertex, + kUseFlatLighting, + kGeodesicDistanceStreamColor, + }; + + GW_Bool GetPropriety( T_DisplayerProprieties Pty ); + + void SetDraw( T_DisplayerProprieties Pty, GW_Bool bVal ); + void EnableDraw( T_DisplayerProprieties Pty ); + void DisableDraw( T_DisplayerProprieties Pty ); + void ToggleDraw( T_DisplayerProprieties Pty ); + + void SetVectorScaling(GW_Float rVectorScaling); + GW_Float GetVectorScaling(); + + void MultiplyContrast( T_DisplayerProprieties Pty, GW_Float Factor ); + void IncreaseContrast( T_DisplayerProprieties Pty, GW_Float Factor = 1.0/1.1f ); + void DecreaseContrast( T_DisplayerProprieties Pty, GW_Float Factor = 1.1f ); + + typedef void (*T_ComputeColorCallback)( GW_Vertex& pVert, float* color ); + void RegisterComputeColorCallback(T_ComputeColorCallback pFunc); + + //------------------------------------------------------------------------- + /** \name Vertex array management. */ + //------------------------------------------------------------------------- + //@{ + void BuildVertexArray( GW_Mesh& Mesh ); + void BuildColorArray( GW_Mesh& Mesh ); + //@} + + +protected: + + /** the OpenGL interleaved array is GL_T2F_C4F_N3F_V3F */ + #define T_OFFSET 0 // texture coords offset + #define C_OFFSET 2 // color offset + #define N_OFFSET 6 // texture offset + #define V_OFFSET 9 // vertex offset + #define VCN_OFFSET 12 // total size + + GW_Bool bProrieties[GW_DISPLAYER_NBR_PTIES]; + + GW_Float aMinValue_[GW_DISPLAYER_NBR_PTIES]; + GW_Float aMaxValue_[GW_DISPLAYER_NBR_PTIES]; + + GW_Float rVectorScaling_; + + /** OpenGL vertex arrays management */ + GLfloat* VertexArray_; + GLuint* FaceArray_; + GW_U32 nNbrVertex_; + GW_U32 nNbrFace_; + + /** a callback for vertex color display */ + T_ComputeColorCallback pComputeColorCallback_; + +}; + + + +} // End namespace GW + + +#ifdef GW_USE_INLINE + #include "GW_BasicDisplayer.inl" +#endif + +#endif // _GW_BASICDISPLAYER_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_BasicDisplayer.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_BasicDisplayer.inl new file mode 100644 index 0000000..142bd4f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_BasicDisplayer.inl @@ -0,0 +1,253 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_BasicDisplayer.inl + * \brief Inlined methods for \c GW_BasicDisplayer + * \author Gabriel Peyré + * \date 4-6-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_BasicDisplayer.h" + +namespace GW { + + +/*------------------------------------------------------------------------------*/ +// Name : GW_BasicDisplayer constructor +/** +* \author Gabriel Peyré +* \date 4-3-2003 +* +* Constructor. +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +GW_BasicDisplayer::GW_BasicDisplayer() +: rVectorScaling_ ( 0.1f ), + VertexArray_ ( NULL ), + FaceArray_ ( NULL ), + pComputeColorCallback_ ( NULL ) +{ + for( GW_U32 i=0; iMultiplyContrast( Pty, Factor ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_BasicDisplayer::MultiplyContrast +/** +* \param Pty [T_DisplayerProprieties] The propriety. +* \param Factor [GW_Float] The scaling factor. +* \author Gabriel Peyré +* \date 4-6-2003 +* +* Multiply the contrast of a given display propriety +*/ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_BasicDisplayer::DecreaseContrast( T_DisplayerProprieties Pty, GW_Float Factor ) +{ + this->MultiplyContrast( Pty, Factor ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_BasicDisplayer::RegisterComputeColorCallback +/** + * \param pFunc [T_ComputeColorCallback] User function. + * \author Gabriel Peyré + * \date 5-20-2003 + * + * The user can override the color computations of the vertex. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_BasicDisplayer::RegisterComputeColorCallback(T_ComputeColorCallback pFunc) +{ + pComputeColorCallback_ = pFunc; +} + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_CSVLoader.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_CSVLoader.h new file mode 100644 index 0000000..233e98e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_CSVLoader.h @@ -0,0 +1,108 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_CSVLoader.h + * \brief Definition of class \c GW_CSVLoader + * \author Gabriel Peyré + * \date 6-26-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_CSVLOADER_H_ +#define _GW_CSVLOADER_H_ + +#include "../gw_core/GW_Config.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_CSVLoader + * \brief A comma separating file loader. + * \author Gabriel Peyré + * \date 6-26-2003 + * + * Store the vertex and the faces in different files. + */ +/*------------------------------------------------------------------------------*/ + +class GW_CSVLoader +{ + +public: + + static GW_I32 LoadVertex( GW_Mesh& Mesh, const char *name ) + { + FILE* pFile = NULL; + + pFile = fopen( "test.txt", "rt" ); + float Vect[3]; + fscanf(pFile, "%f", &Vect[0] ); + + pFile = fopen( name, "rt" ); + if( pFile ==NULL ) + return GW_Error_Opening_File; + + GW_U32 nNbrVertex = 0; + + while( !feof(pFile) ) + { + nNbrVertex++; + fscanf(pFile, "%f,%f,%f", &Vect[0], &Vect[1], &Vect[2] ); + } + fclose( pFile ); + pFile = fopen( name, "rt" ); + if( pFile ==NULL ) + return GW_Error_Opening_File; + if( nNbrVertex!=Mesh.GetNbrVertex() ) + Mesh.SetNbrVertex( nNbrVertex ); + for( GW_U32 i=0; iSetPosition( GW_Vector3D((float) Vect[0], (float) Vect[1], (float) Vect[2]) ); + } + + fclose( pFile ); + + return GW_OK; + } + + static GW_I32 SaveVertex( GW_Mesh& Mesh, const char *name ) + { + FILE* pFile = NULL; + pFile = fopen( name, "wt" ); + if( pFile ==NULL ) + return GW_Error_Opening_File; + + for( GW_U32 i=0; iGetPosition(); + fprintf(pFile, " %f,%f,%f", Pos[0], Pos[1], Pos[2] ); + if( i!=Mesh.GetNbrVertex() ) + fprintf(pFile, " \n"); + } + + fclose( pFile ); + + return GW_OK; + } + +private: + +}; + +} // End namespace GW + + +#endif // _GW_CSVLOADER_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_GeodesicDisplayer.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_GeodesicDisplayer.cpp new file mode 100644 index 0000000..33c6817 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_GeodesicDisplayer.cpp @@ -0,0 +1,422 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicDisplayer.cpp + * \brief Definition of class \c GW_GeodesicDisplayer + * \author Gabriel Peyré + * \date 4-10-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_GeodesicDisplayer.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_GeodesicDisplayer.h" +#include + +#ifndef GW_USE_INLINE + #include "GW_GeodesicDisplayer.inl" +#endif + +#include "GW_Toolkit.h" + +using namespace GW; + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicDisplayer constructor +/** + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_GeodesicDisplayer::GW_GeodesicDisplayer() +: rColorStreamFixedRadius_ (-1) +{ + /* init the color stream */ + for( GW_U32 i=0; iGetDistance()GetDistance()GetDistance(); + if( pVert->GetDistance()>aMaxValue_[kGeodesicDistance] ) + aMaxValue_[kGeodesicDistance] = pVert->GetDistance(); + } + } +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicDisplayer::AddFrontColor +/** + * \param VertFront [GW_Vertex&] The vertex from wich the front started. + * \param Color [GW_Vector3D&] The color. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Add a color to display a given front. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicDisplayer::AddFrontColor( GW_Vertex& VertFront, GW_Vector3D& Color ) +{ + GW_U32 nID = VertFront.GetID(); + VertexColorMap_[nID] = Color; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicDisplayer::RemoveFrontColor +/** + * \param VertFront [GW_Vertex&] The front. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Remove a colorization. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicDisplayer::RemoveFrontColor( GW_Vertex& VertFront ) +{ + VertexColorMap_.erase( VertFront.GetID() ); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicDisplayer::ResetFrontColor +/** + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Remove all colors. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicDisplayer::ResetFrontColor() +{ + VertexColorMap_.clear(); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicDisplayer::ComputeColor +/** +* \param pVert [GW_Vertex&] The vertex. +* \param color [GLfloat*] The color. +* \author Gabriel Peyré +* \date 4-3-2003 +* +* Assign a color to a vertex according to it's curv info. +*/ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicDisplayer::ComputeColor( GW_Vertex& Vert, float* color ) +{ + GW_GeodesicVertex& GeoVert = (GW_GeodesicVertex&) Vert; + GW_BasicDisplayer::ComputeColor( Vert, color ); + if( bProrieties[kGeodesicDistance] ) + { + if( GeoVert.GetDistance()GetID(); + if( VertexColorMap_.find(nID)!=VertexColorMap_.end() ) + { + GW_Vector3D colvect = VertexColorMap_[nID]; + color[0] = (GLfloat) colvect[0]*(1-dist); + color[1] = (GLfloat) colvect[1]*(1-dist); + color[2] = (GLfloat) colvect[2]*(1-dist); + } + else + { + /* no colorisation was provided for this front */ + color[0] = color[1] = color[2] = 1-dist; + } + if( bProrieties[kGeodesicDistanceStreamColor] ) + { + GW_Float max = aMaxValue_[kGeodesicDistance]; + if( rColorStreamFixedRadius_>0 ) + max = rColorStreamFixedRadius_; + GW_Vector3D colvect = this->GetStreamColor( GeoVert.GetDistance(), max ); + color[0] = (GLfloat) colvect[0]; + color[1] = (GLfloat) colvect[1]; + color[2] = (GLfloat) colvect[2]; + } + } + } + if( bProrieties[kMarchingState] ) + { + + if( GeoVert.GetState()==GW_GeodesicVertex::kAlive ) + { + GW_Vector3D TheColor(1,0,0); // default color = red + GW_ASSERT(GeoVert.GetFront()!=NULL); + GW_U32 nID = GeoVert.GetFront()->GetID(); + if( VertexColorMap_.find(nID)!=VertexColorMap_.end() ) + TheColor = VertexColorMap_[nID]; + color[0] = (float) TheColor[0]*0.5f; + color[1] = (float) TheColor[1]*0.5f; + color[2] = (float) TheColor[2]*0.5f; + } + if( GeoVert.GetState()==GW_GeodesicVertex::kDead ) + { + GW_Vector3D TheColor(1,0,0); // default color = red + GW_ASSERT(GeoVert.GetFront()!=NULL); + GW_U32 nID = GeoVert.GetFront()->GetID(); + if( VertexColorMap_.find(nID)!=VertexColorMap_.end() ) + TheColor = VertexColorMap_[nID]; + color[0] = (float) TheColor[0]; + color[1] = (float) TheColor[1]; + color[2] = (float) TheColor[2]; + } + } + if( bProrieties[kVertexParametrization] ) + { +#if 1 + GW_U32 nNbrParameter = 0; + GW_Vector3D Color; + for( GW_U32 i=0; i<3; ++i ) + { + GW_Float rParam = 0; + GW_VoronoiVertex* pParamVert = GeoVert.GetParameterVertex( i, rParam ); + if( pParamVert!=NULL ) + { + GW_U32 nID = pParamVert->GetBaseVertex()->GetID(); + if( VertexColorMap_.find(nID)!=VertexColorMap_.end() ) + { + Color += VertexColorMap_[nID]*rParam; + nNbrParameter++; + } + } + } + color[0] = (float) Color[0]; + color[1] = (float) Color[1]; + color[2] = (float) Color[2]; + Color /= nNbrParameter; +#else + for( GW_U32 i=0; i<3; ++i ) + { + GW_Float rParam; + GW_VoronoiVertex* pParamVert = GeoVert.GetParameterVertex( i, rParam ); + if( pParamVert!=NULL ) + color[i] = (float) rParam; + else + color[i] = 0; + } +#endif + } + if( bProrieties[kStoppingVertex] && GeoVert.GetIsStoppingVertex() ) + { + color[0] = color[2] = 0; + color[1] = 1; + } + +#if 0 // just for debugging + T_GeodesicVertexList& VertList = GW_Toolkit::GetStartVertex(); + if( !VertList.empty() ) + { + GW_GeodesicVertex* pVert = VertList.front(); + GW_Float rDist = ~(pVert->GetPosition() - GeoVert.GetPosition()); + rDist = GW_ABS( rDist - GeoVert.GetDistance() ); + color[0] = color[1] = color[2] = rDist*5; + } +#endif +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicDisplayer::DisplayPath +/** + * \param CurPath [GW_GeodesicPath&] The path. + * \param Color [GW_Vertex&] The color. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Display a path. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicDisplayer::DisplayPath( GW_GeodesicPath& CurPath, GW_Vector3D& Color, GW_Float rLineWidth ) +{ + glLineWidth( (GLfloat) rLineWidth ); + glPointSize( (GLfloat) rLineWidth ); + T_GeodesicPointList& PointList = CurPath.GetPointList(); + glDisable( GL_LIGHTING ); + glColor( Color ); + glBegin( GL_LINE_STRIP ); + for( IT_GeodesicPointList it = PointList.begin(); it!=PointList.end(); ++it ) + { + GW_GeodesicPoint* pPoint = *it; + GW_ASSERT( pPoint->GetVertex1()!=NULL ); + GW_ASSERT( pPoint->GetVertex2()!=NULL ); + GW_Vector3D Pos = pPoint->GetVertex1()->GetPosition()*pPoint->GetCoord() + + pPoint->GetVertex2()->GetPosition()*(1-pPoint->GetCoord()); + glColor( Color ); + glVertex( Pos ); + GW_GeodesicFace* pFace = pPoint->GetCurFace(); + GW_ASSERT( pFace!=NULL ); + T_SubPointVector& SubPointVector = pPoint->GetSubPointVector(); + GW_Vector3D& v0 = pPoint->GetVertex1()->GetPosition(); + GW_Vector3D& v1 = pPoint->GetVertex2()->GetPosition(); + GW_Vertex* pLastVert = pFace->GetVertex( *pPoint->GetVertex1(), *pPoint->GetVertex2() ); + GW_ASSERT( pLastVert!=NULL ); + GW_Vector3D& v2 = pLastVert->GetPosition(); + for( IT_SubPointVector it=SubPointVector.begin(); it!=SubPointVector.end(); ++it ) + { + GW_Vector3D& coord = *it; + Pos = v0*coord[0] + v1*coord[1] + v2*coord[2]; + glVertex( Pos ); + } + } + glEnd(); +#if 0 + glColor3f( 0,0,0 ); + glPointSize(4); + glBegin( GL_POINTS ); + for( IT_GeodesicPointList it = PointList.begin(); it!=PointList.end(); ++it ) + { + GW_GeodesicPoint* pPoint = *it; + GW_ASSERT( pPoint->GetVertex1()!=NULL ); + GW_ASSERT( pPoint->GetVertex2()!=NULL ); + GW_Vector3D Pos = pPoint->GetVertex1()->GetPosition()*pPoint->GetCoord() + + pPoint->GetVertex2()->GetPosition()*(1-pPoint->GetCoord()); + glVertex( Pos ); + GW_GeodesicFace* pFace = pPoint->GetCurFace(); + GW_ASSERT( pFace!=NULL ); + T_SubPointVector& SubPointVector = pPoint->GetSubPointVector(); + GW_Vector3D& v0 = pPoint->GetVertex1()->GetPosition(); + GW_Vector3D& v1 = pPoint->GetVertex2()->GetPosition(); + GW_Vertex* pLastVert = pFace->GetVertex( *pPoint->GetVertex1(), *pPoint->GetVertex2() ); + GW_ASSERT( pLastVert!=NULL ); + GW_Vector3D& v2 = pLastVert->GetPosition(); + for( IT_SubPointVector it=SubPointVector.begin(); it!=SubPointVector.end(); ++it ) + { + GW_Vector3D& coord = *it; + Pos = v0*coord[0] + v1*coord[1] + v2*coord[2]; + glVertex( Pos ); + } + } + glEnd(); + + glEnable( GL_LIGHTING ); + glLineWidth( 1 ); +#endif +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicDisplayer::DisplayGeodesicBoundaries +/** + * \param VoronoiMesh [GW_VoronoiMesh&] The mesh. + * \param Color [GW_Vector3D&] The color. + * \param rLineWidth [GW_Float] Width of the lines. + * \author Gabriel Peyré + * \date 4-23-2003 + * + * Display each boundaries of the voronoi mesh. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicDisplayer::DisplayGeodesicBoundaries( GW_VoronoiMesh& VoronoiMesh, GW_Vector3D& Color, GW_Float rLineWidth ) +{ + glLineWidth( (GLfloat) rLineWidth ); + T_VertexPathMap& BoundariesMap = VoronoiMesh.GetGeodesicBoundariesMap(); + for( IT_VertexPathMap it=BoundariesMap.begin(); it!=BoundariesMap.end(); ++it ) + { + T_GeodesicVertexList* pList = it->second; + GW_ASSERT( pList!=NULL ); + glDisable( GL_LIGHTING ); + glColor( Color ); + glBegin( GL_LINE_STRIP ); + for( IT_GeodesicVertexList VertIt = pList->begin(); VertIt!=pList->end(); ++VertIt ) + { + GW_GeodesicVertex* pVert = *VertIt; + GW_ASSERT( pVert!=NULL ); + glVertex( *pVert ); + } + glEnd(); + glEnable( GL_LIGHTING ); + } + glLineWidth( 1 ); +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicDisplayer::DisplayVoronoiPoints +/** + * \param VoronoiMesh [GW_VoronoiMeshBuilder&] The mesh builder. + * \author Gabriel Peyré + * \date 4-12-2003 + * + * Display the set of points of the builder. + */ +/*------------------------------------------------------------------------------*/ +void GW_GeodesicDisplayer::DisplayVoronoiPoints( GW_VoronoiMesh& VoronoiMesh, GW_Vector3D& Color, GW_Float rPointSize ) +{ + GW_Bool bIsTextureOn = glIsEnabled( GL_TEXTURE_2D ); + glDisable( GL_TEXTURE_2D ); + + T_GeodesicVertexList BaseVertexList = VoronoiMesh.GetBaseVertexList(); + glPointSize( (GLfloat) rPointSize ); + glColor( Color ); + glDisable( GL_LIGHTING ); + glBegin( GL_POINTS ); + for( IT_GeodesicVertexList it = BaseVertexList.begin(); it!=BaseVertexList.end(); ++it ) + { + GW_GeodesicVertex* pVert = *it; + glVertex( pVert->GetPosition() ); + } + glEnd(); + glEnable( GL_LIGHTING ); + + if( bIsTextureOn ) + glEnable( GL_TEXTURE_2D ); +} + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_GeodesicDisplayer.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_GeodesicDisplayer.h new file mode 100644 index 0000000..161f808 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_GeodesicDisplayer.h @@ -0,0 +1,101 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicDisplayer.h + * \brief Definition of class \c GW_GeodesicDisplayer + * \author Gabriel Peyré + * \date 4-10-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_GEODESICDISPLAYER_H_ +#define _GW_GEODESICDISPLAYER_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_geodesic/GW_GeodesicMesh.h" +#include "../gw_geodesic/GW_GeodesicPath.h" +#include "GW_BasicDisplayer.h" +#include "../gw_geodesic/GW_VoronoiMesh.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** \name a map of GW_Vector3D */ +/*------------------------------------------------------------------------------*/ +//@{ +typedef std::map T_VertexColorMap; +typedef T_VertexColorMap::iterator IT_VertexColorMap; +typedef T_VertexColorMap::reverse_iterator RIT_VertexColorMap; +typedef T_VertexColorMap::const_iterator CIT_VertexColorMap; +typedef T_VertexColorMap::const_reverse_iterator CRIT_VertexColorMap; +//@} + + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_GeodesicDisplayer + * \brief Display information about geodesic computations. + * \author Gabriel Peyré + * \date 4-10-2003 + * + * Use geodesic value to draw the mesh. + */ +/*------------------------------------------------------------------------------*/ + +class GW_GeodesicDisplayer: public GW_BasicDisplayer +{ + +public: + + /*------------------------------------------------------------------------------*/ + /** \name Constructor and destructor */ + /*------------------------------------------------------------------------------*/ + //@{ + GW_GeodesicDisplayer(); + //@} + + virtual void ComputeColor( GW_Vertex& pVert, float* color ); + virtual void SetUpDraw(GW_Mesh& Mesh); + + void DisplayPath( GW_GeodesicPath& CurPath, GW_Vector3D& Color = GW_Vector3D(1,1,1), GW_Float rLineWidth = 2.0f ); + void DisplayVoronoiPoints( GW_VoronoiMesh& MeshBuilder, GW_Vector3D& Color = GW_Vector3D(0,0,0), GW_Float rPointSize = 6.0f ); + void DisplayGeodesicBoundaries( GW_VoronoiMesh& VoronoiMesh, GW_Vector3D& Color = GW_Vector3D(0,0,0), GW_Float rLineWidth = 2.0f ); + + void AddFrontColor( GW_Vertex& VertFront, GW_Vector3D& Color ); + void RemoveFrontColor( GW_Vertex& VertFront ); + void ResetFrontColor(); + + GW_Vector3D GetStreamColor( GW_Float val, GW_Float max ); + void SetColorStreamFixedRadius( GW_Float val ); + GW_Float GetMaxGeodesicDistance() + { return aMaxValue_[kGeodesicDistance]; } + GW_Float GetColorStreamFixedRadius() + { return rColorStreamFixedRadius_; } + +private: + + T_VertexColorMap VertexColorMap_; + + + /** color strem management */ + #define COLOR_STREAM_SIZE 100 + GW_Vector3D ColorStream_[COLOR_STREAM_SIZE+1]; + GW_Float rColorStreamFixedRadius_; + +}; + +} // End namespace GW + +#ifdef GW_USE_INLINE + #include "GW_GeodesicDisplayer.inl" +#endif + + +#endif // _GW_GEODESICDISPLAYER_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_GeodesicDisplayer.inl b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_GeodesicDisplayer.inl new file mode 100644 index 0000000..d7ba072 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_GeodesicDisplayer.inl @@ -0,0 +1,39 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_GeodesicDisplayer.inl + * \brief Inlined methods for \c GW_GeodesicDisplayer + * \author Gabriel Peyré + * \date 4-10-2003 + */ +/*------------------------------------------------------------------------------*/ + +#include "GW_GeodesicDisplayer.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +// Name : GW_GeodesicDisplayer::SetColorStreamFixedRadius +/** + * \param val [GW_Float] <0 => scale the stream to the current distance map. + * \author Gabriel Peyré + * \date 9-29-2003 + * + * Set the length of the stream. + */ +/*------------------------------------------------------------------------------*/ +GW_INLINE +void GW_GeodesicDisplayer::SetColorStreamFixedRadius( GW_Float val ) +{ + rColorStreamFixedRadius_ = val; +} + + + +} // End namespace GW + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_InputOutput.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_InputOutput.cpp new file mode 100644 index 0000000..cb43bb1 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_InputOutput.cpp @@ -0,0 +1,50 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_InputOutput.cpp + * \brief Definition of class \c GW_InputOutput + * \author Gabriel Peyré + * \date 6-25-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + const char* sccsid = "@(#) GW_InputOutput.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_InputOutput.h" + +using namespace GW; + + +GW_Bool GW_InputOutput::bSpinning = GW_False; +GW_Bool GW_InputOutput::bMoving = GW_False; +GW_I32 GW_InputOutput::nBeginX; +GW_I32 GW_InputOutput::nBeginY; +GW_I32 GW_InputOutput::rWidth = 300; +GW_I32 GW_InputOutput::rHeight = 300; +GLdouble GW_InputOutput::rAspectRatio; +float GW_InputOutput::curquat[4]; +float GW_InputOutput::lastquat[4]; +TB_Vector GW_InputOutput::eyePos = { 0.0, 0.0, 3.0 }; +GW_Float GW_InputOutput::rZoom = 10; +GW_Bool GW_InputOutput::bZooming = GW_False; +GW_Bool GW_InputOutput::bTranslating = GW_False; +GW_I32 GW_InputOutput::nMouseY = 0; +GW_I32 GW_InputOutput::nMouseX = 0; +GW_U32 GW_InputOutput::ZOOM_MAX = 2000; +GW_Float GW_InputOutput::ZOOM_FACTOR = 0.2f; +GW_Float GW_InputOutput::ROT_SPEED = 0.3f; +GW_Float GW_InputOutput::BACKGROUND_COLOR = 1; +GW_Vector3D GW_InputOutput::TargetPosition_; +GW_Bool GW_InputOutput::bLeftButton_ = GW_False; +GW_Bool GW_InputOutput::bRightButton_ = GW_False; +GW_Float GW_InputOutput::TRANS_FACTOR = 0.00006; +GW_InputOutput::T_IdleFunc GW_InputOutput::IdleCallback_ = GW_InputOutput::DefaultIdle; + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_InputOutput.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_InputOutput.h new file mode 100644 index 0000000..0b9056c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_InputOutput.h @@ -0,0 +1,325 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_InputOutput.h + * \brief Definition of class \c GW_InputOutput + * \author Gabriel Peyré + * \date 6-25-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_INPUTOUTPUT_H_ +#define _GW_INPUTOUTPUT_H_ + +#include "../gw_core/GW_Config.h" +#include "trackball.h" +#include + +#ifdef GW_DEBUG + #pragma comment(lib, "glut32.lib") +#else + #pragma comment(lib, "glut32.lib") +#endif // GW_DEBUG + + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_InputOutput + * \brief A minimalistic helper that use \c GLUT. + * \author Gabriel Peyré + * \date 6-25-2003 + * + * Just handle mouse. + */ +/*------------------------------------------------------------------------------*/ + +class GW_InputOutput +{ + +public: + + typedef void (*T_IdleFunc)(); + static void DefaultIdle() + { + if( bSpinning ) + add_quats(lastquat, curquat, curquat); + glutPostRedisplay(); + } + + static void SetIdleCallback( T_IdleFunc NewFunc ) + { + IdleCallback_ = NewFunc; + } + + static void Reshape( int w, int h ) + { + if( h!=0 ) + { + glViewport( 0, 0, w, h ); + glMatrixMode( GL_PROJECTION ); + glLoadIdentity(); + gluPerspective(30,w/h,1.5,50000); + glMatrixMode( GL_MODELVIEW ); + glLoadIdentity(); + rWidth = w; + rHeight = h; + rAspectRatio = (GLdouble) rWidth/(GLdouble) rHeight; + } + } + + /*------------------------------------------------------------------------------*/ + // Name : mouse + /** + * \param x [GW::GW_I32] x position of the pointer. + * \param y [GW::GW_I32] y position of the pointer. + * \author Gabriel Peyré + * \date 11-24-2002 + * + * To handle mouse movements. + */ + /*------------------------------------------------------------------------------*/ + static void MouseMotion(int x, int y) + { + if( bTranslating ) + { + GW_Float rTranslationX = -rZoom*TRANS_FACTOR*( x-nMouseX ); + GW_Float rTranslationY = rZoom*TRANS_FACTOR*( y-nMouseY ); + GW_InputOutput::MoveTarget( rTranslationX, rTranslationY ); + } + else if( bMoving ) + { + trackball(lastquat, + ROT_SPEED*(2.0 * nBeginX - rWidth) / rWidth, + ROT_SPEED*(rHeight - 2.0 * nBeginY) / rHeight, + ROT_SPEED*(2.0 * x - rWidth) / rWidth, + ROT_SPEED*(rHeight - 2.0 * y) / rHeight + ); + nBeginX = x; + nBeginY = y; + bSpinning = 1; + glutIdleFunc(IdleCallback_); + } + else if( bZooming ) + { + rZoom += ZOOM_FACTOR*( y-nMouseY ); + if( rZoom<=0 ) + rZoom=0; + if( rZoom>=ZOOM_MAX ) + rZoom=ZOOM_MAX; + } + } + + static void MouseClick( int button , int state , int x , int y ) + { + bTranslating = GW_False; + if( button == GLUT_RIGHT_BUTTON && state == GLUT_DOWN ) + bRightButton_ = GW_True; + if( button == GLUT_RIGHT_BUTTON && state == GLUT_UP ) + bRightButton_ = GW_False; + if( button == GLUT_LEFT_BUTTON && state == GLUT_DOWN ) + bLeftButton_ = GW_True; + if( button == GLUT_LEFT_BUTTON && state == GLUT_UP ) + bLeftButton_ = GW_False; + + if( bLeftButton_ && bRightButton_ ) + bTranslating = GW_True; + else if( bRightButton_ ) + { + bTranslating = GW_False; + bSpinning = 0; + trackball(lastquat, 0, 0, 0, 0); + glutIdleFunc(NULL); + bMoving = 1; + nBeginX = x; + nBeginY = y; + } + else if( !bRightButton_ && !bLeftButton_) + { + bTranslating = GW_False; + bMoving = 0; + } + else if( bLeftButton_ ) + { + bTranslating = GW_False; + bZooming = GW_True; + } + else if( !bLeftButton_ ) + { + bTranslating = GW_False; + bZooming = GW_False; + } + nMouseY = y; + nMouseX = x; + } + + static void MousePassive( int x , int y ) + { + nMouseY = y; + nMouseX = x; + } + + + static void Init( int argc, char *argv[], GW_U32 nWindowsSize = 100, const char* windowsname = "GW -- Test application" ) + { + srand( (unsigned) time( NULL ) ); + /* init the fast sqrt table */ + makeInverseSqrtLookupTable(); + /* init the track ball */ + trackball(curquat, -0.5, 0.0, 0.0, 0.0); + + glutInit( &argc , argv ); + glutInitDisplayMode(GLUT_DOUBLE | GLUT_RGB | GLUT_DEPTH); + glutInitWindowSize( nWindowsSize, nWindowsSize ) ; + glutInitWindowPosition( 100, 100 ) ; + glutCreateWindow( windowsname ); + + glutMotionFunc( MouseMotion ); + glutMouseFunc( MouseClick ); + glutIdleFunc( IdleCallback_ ); + glutReshapeFunc( Reshape ); + + /* init opengl */ + glEnable( GL_DEPTH_TEST ); + glEnable( GL_CULL_FACE ); + glCullFace( GL_BACK ); + + /* load light */ + GLfloat light_color[4] = {0.3,0.3,0.3,1}; + glLightfv( GL_LIGHT0, GL_AMBIENT, light_color ); + glLightfv( GL_LIGHT0, GL_DIFFUSE, light_color ); + glLightfv( GL_LIGHT0, GL_SPECULAR, light_color ); + glEnable( GL_LIGHTING ); + glEnable( GL_LIGHT0 ); + glDisable( GL_NORMALIZE ); + + /* for line display */ + glEnable(GL_POLYGON_OFFSET_FILL); + glPolygonOffset(3,3); + + glClearColor( BACKGROUND_COLOR,BACKGROUND_COLOR,BACKGROUND_COLOR,BACKGROUND_COLOR ); + + } + + static void PrepareDisplay() + { + + glClear( GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT ); + glLoadIdentity(); + + GLfloat m[4][4]; + GLfloat invm[4][4]; + // TB_Vector objectSpaceLightPosition; + TB_Vector objectSpaceEyePosition; + + /* Given the current rotation quaternion, generate the matching rotation + matrix and combine it with the modelview matrix. */ + build_rotmatrix(m, curquat); + + /* Because we know that "m" is a rotation matrix, we could just + perform a tranpose here, but for an arbitrary matrix, we + need a full matrix inversion. */ + invertMatrixf(&invm[0][0], &m[0][0]); + + /* Transform the light position in world space into object space + using the inverse of the object space to world space transform. */ + transformPosition(&objectSpaceEyePosition, &eyePos, invm); + + /* Load a persepctive projection normally. */ + glMatrixMode(GL_PROJECTION); + glLoadIdentity(); + gluPerspective( /* field of view in degree */ 40.0, + /* aspect ratio */ rAspectRatio, + /* Z near */ 1.0, /* Z far */ 500.0f); + + GLdouble eyeLookAt[16]; + /* Compute a "look at" 4x4 matrix with the "eye" at the eye position. */ + buildLookAtMatrix(eyePos.x, eyePos.y, eyePos.z, 0,0,0, 0,1,0, eyeLookAt); + glMatrixMode(GL_MODELVIEW); + glTranslatef( -TargetPosition_[0], -TargetPosition_[1], -TargetPosition_[2] ); + glMultMatrixd(eyeLookAt); + + /* posit light */ + glTranslatef(0,0,-rZoom); + glMultMatrixf(&m[0][0]); + GLfloat light_position[4] = { 8,8,0,1 }; + glLightfv( GL_LIGHT0 , GL_POSITION, light_position ) ; + } + + static void TranslateTarget( GW_Vector3D& tr ) + { + TargetPosition_ += tr; + } + static void MoveTarget( GW_Float x, GW_Float y ) // moving in the "look at" plane + { + TargetPosition_[0] += x; + TargetPosition_[1] += y; + } + +#define CAM_FILE "param.svg" + static void SaveCameraSettings() + { + FILE* pFile = fopen( CAM_FILE, "wt" ); + if( pFile==NULL ) + return; + fprintf( pFile, "cur_quat=%f,%f,%f,%f\n", curquat[0], curquat[1], curquat[2], curquat[3] ); + fprintf( pFile, "eye_pos=%f,%f,%f\n", eyePos.x, eyePos.y, eyePos.z ); + fprintf( pFile, "zoom=%f\n", (float) rZoom ); + fclose( pFile ); + } + static void LoadCameraSettings() + { + FILE* pFile = fopen( CAM_FILE, "rt" ); + if( pFile==NULL ) + return; + fscanf( pFile, "cur_quat=%f,%f,%f,%f\n", & curquat[0], & curquat[1], & curquat[2], & curquat[3] ); + fscanf( pFile, "eye_pos=%f,%f,%f\n", & eyePos.x, & eyePos.y, & eyePos.z ); + float zoom; + fscanf( pFile, "zoom=%f\n", &zoom ); + rZoom = zoom; + fclose( pFile ); + } + + static void RotateView(GW_Float phi, float a[3]) + { + float q[4]; + axis_to_quat(a, phi, q); + add_quats(q, curquat, curquat); + } + +private: + + /** for the interface */ + static GW_Bool bLeftButton_, bRightButton_; + static GW_Bool bSpinning, bMoving; + static GW_I32 nBeginX, nBeginY; + static GW_I32 rWidth, rHeight; + static GLdouble rAspectRatio; + static float curquat[4]; + static float lastquat[4]; + static TB_Vector eyePos; + static GW_Float rZoom; + static GW_Bool bZooming, bTranslating; + static GW_I32 nMouseY, nMouseX; + static GW_U32 ZOOM_MAX; + static GW_Float TRANS_FACTOR; + static GW_Float ZOOM_FACTOR; + static GW_Float ROT_SPEED; + static GW_Float BACKGROUND_COLOR; + static GW_Vector3D TargetPosition_; + + static T_IdleFunc IdleCallback_; + +}; + +} // End namespace GW + + +#endif // _GW_INOUTOUTPUT_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_OBJLoader.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_OBJLoader.cpp new file mode 100644 index 0000000..eaaf5c8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_OBJLoader.cpp @@ -0,0 +1,223 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_OBJLoader.cpp + * \brief Definition of class \c GW_OBJLoader + * \author Gabriel Peyré + * \date 5-20-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_OBJLoader.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_OBJLoader.h" + + +using namespace GW; + + +/*------------------------------------------------------------------------------*/ +// Name : GW_OBJLoader::Load +/** +* \param Mesh [GW_Mesh&] Mash to load data to. +* \param name [char*] File name. +* \return [GW_I32] >0 : loading successful. +* \author Gabriel Peyré +* \date 4-1-2003 +* +* Load data from a .PLY file. +*/ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_OBJLoader::Load(GW_Mesh& Mesh, const char *name, const char* mode, GW_Bool bFlipFaces) +{ + FILE* pFile = NULL; + pFile = fopen( name, mode ); + if( pFile ==NULL ) + return GW_Error_Opening_File; + + char data[255]; + GW_U32 nTemp = 0; + + typedef std::list T_Vector3DList; + typedef T_Vector3DList::iterator IT_Vector3DList; + typedef GW_VectorStatic<3,GW_I32> T_U32Vector; + typedef std::list T_U32VectorList; + typedef T_U32VectorList::iterator IT_U32VectorList; + T_Vector3DList vertex_list; + T_Vector3DList normal_list; + T_Vector2DList texture_list; + T_U32VectorList face_list; + + float Vect[3]; + + GW_Bool bLoadingVertex = GW_False; + GW_I32 nVertOffset = 0; + GW_I32 nFutureOffset = 0; + + while( !feof(pFile) ) + { + fscanf(pFile, "%s", &data); + + if( strcmp(data, "v")==0 ) + { + if( !bLoadingVertex ) + nVertOffset = nFutureOffset; + bLoadingVertex = GW_True; + /* begin to read the data */ + fscanf(pFile, "%f %f %f", &Vect[0], &Vect[1], &Vect[2] ); + vertex_list.push_back( GW_Vector3D(Vect[0], Vect[1], Vect[2]) ); + } + else + { + // record offset + if( bLoadingVertex ) + { + bLoadingVertex = GW_False; + nFutureOffset = (GW_U32) vertex_list.size(); + } + } + + + if( strcmp(data, "vt")==0 ) + { + /* begin to read the data */ + fscanf(pFile, "%f %f", &Vect[0], &Vect[1] ); + texture_list.push_back( GW_Vector2D(Vect[0], Vect[1]) ); + } + else if( strcmp(data, "vn")==0 ) + { + /* begin to read the data */ + fscanf(pFile, "%f %f %f", &Vect[0], &Vect[1], &Vect[2] ); + normal_list.push_back( GW_Vector3D(Vect[0], Vect[1], Vect[2]) ); + } + else if( strcmp(data, "f")==0 ) + { + T_U32Vector f; + fscanf(pFile, "%u/%u/%u %u/%u/%u %u/%u/%u", &f[0], &nTemp, &nTemp, + &f[1], &nTemp, &nTemp, &f[2], &nTemp, &nTemp ); + /* f[0] += nVertOffset-1; + f[1] += nVertOffset-1; + f[2] += nVertOffset-1; */ + f[0] -= 1; + f[1] -= 1; + f[2] -= 1; + if( f[0]>=0 ) + face_list.push_back( f ); + } + else // swap the line + { + fgets(data, 100, pFile); + } + } + fclose(pFile); + + + GW_U32 nNbrVertex = (GW_U32) vertex_list.size(); + GW_U32 nNbrFace = (GW_U32) face_list.size(); + GW_Bool bUseTexture = GW_False; + if( texture_list.size()==nNbrVertex ) + bUseTexture = GW_True; + GW_Bool bUseNormal = GW_False; + if( normal_list.size()==nNbrVertex ) + bUseNormal = GW_True; + + Mesh.SetNbrVertex( nNbrVertex ); + Mesh.SetNbrFace( nNbrFace ); + + // set up vertices + IT_Vector3DList it_vertex = vertex_list.begin(); + IT_Vector2DList it_texture = texture_list.begin(); + IT_Vector3DList it_normal = normal_list.begin(); + GW_Vector2D texture; + GW_Vector3D pos; + GW_Vector3D normal; + GW_U32 num = 0; + while( it_vertex!=vertex_list.end() ) + { + pos = *it_vertex; + it_vertex++; + if( bUseTexture ) + { + texture = *it_texture; + it_texture++; + } + if( bUseNormal ) + { + normal = *it_normal; + it_normal++; + } + GW_Vertex& vert = Mesh.CreateNewVertex(); + Mesh.SetVertex( num, &vert ); + vert.SetPosition(pos); + vert.SetNormal(normal); + vert.SetTexCoords( texture[0], texture[1] ); + num++; + } + num = 0; + for( IT_U32VectorList it_face = face_list.begin(); it_face!=face_list.end(); ++it_face ) + { + T_U32Vector f = *it_face; + GW_Face& face = Mesh.CreateNewFace(); + Mesh.SetFace( num, &face ); + for( GW_U32 i=0; i<3; ++i ) + { + GW_Vertex* pVert = Mesh.GetVertex(f[i]); GW_ASSERT( pVert!=NULL ); + face.SetVertex( *pVert, i ); + } + num++; + } + + return GW_OK; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_OBJLoader::Save +/** + * \param Mesh [GW_Mesh&] The mesh. + * \param name [char*] The file name. + * \return [GW_I32] Was the saving successful ? + * \author Gabriel Peyré + * \date 5-27-2003 + * + * Save the mesh to a file. + */ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_OBJLoader::Save( GW_Mesh& Mesh, const char *name ) +{ + FILE* pFile = NULL; + pFile = fopen( name, "wt" ); + if( pFile ==NULL ) + return GW_Error_Opening_File; +#define WRITELN(str) fprintf( pFile, str "\n" ) + + WRITELN("OFF"); + fprintf( pFile, "%u %u 0\n", Mesh.GetNbrVertex(), Mesh.GetNbrFace() ); + + for( GW_U32 i=0; iGetPosition(); + fprintf(pFile, "%f %f %f,\n", Pos[0], Pos[1], Pos[2] ); + + } + for( GW_U32 i=0; iGetVertex(0)->GetID(), pFace->GetVertex(1)->GetID(), pFace->GetVertex(2)->GetID() ); + } + fclose(pFile); + + return GW_OK; +} + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_OBJLoader.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_OBJLoader.h new file mode 100644 index 0000000..0ca2aec --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_OBJLoader.h @@ -0,0 +1,37 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_OBJLoader.h + * \brief Definition of class \c GW_OBJLoader + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef __GW_OBJLoader__ +#define __GW_OBJLoader__ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Mesh.h" + +GW_BEGIN_NAMESPACE + +class GW_OBJLoader +{ +public: + + static GW_I32 Load(GW_Mesh& Mesh, const char *name, const char* mode = "rt", GW_Bool bFlipFaces = GW_False ); + static GW_I32 Save( GW_Mesh& Mesh, const char *name ); + +}; + +GW_END_NAMESPACE + +#endif // #ifdef __GW_OBJLoader__ + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_OFFLoader.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_OFFLoader.cpp new file mode 100644 index 0000000..35a2e9a --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_OFFLoader.cpp @@ -0,0 +1,156 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_OFFLoader.cpp + * \brief Definition of class \c GW_OFFLoader + * \author Gabriel Peyré + * \date 5-20-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_OFFLoader.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_OFFLoader.h" + + +using namespace GW; + + +/*------------------------------------------------------------------------------*/ +// Name : GW_OFFLoader::Load +/** +* \param Mesh [GW_Mesh&] Mash to load data to. +* \param name [char*] File name. +* \return [GW_I32] >0 : loading successful. +* \author Gabriel Peyré +* \date 4-1-2003 +* +* Load data from a .PLY file. +*/ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_OFFLoader::Load(GW_Mesh& Mesh, const char *name, const char* mode, GW_Bool bFlipFaces) +{ + FILE* pFile = NULL; + pFile = fopen( name, mode ); + if( pFile ==NULL ) + return GW_Error_Opening_File; + + char data[255]; + GW_U32 nNbrVertex = 0; + GW_U32 nNbrFace = 0; + GW_U32 nTemp = 0; + float Vect[3]; + GW_U32 nVertexNumber[3]; + GW_U32 nFaceValence = 0; + GW_Vertex* pVert = NULL; + GW_Face* pFace = NULL; + + T_FloatVector vX, vY, vZ; + + std::map VertCorrespondance; + GW_Bool bVertexDone = GW_False; + + while( !feof(pFile) ) + { + fscanf(pFile, "%s", &data); + + if( strcmp(data, "#")==0 ) + { + /* skip the whole line */ + } + else if( strcmp(data, "OFF")==0 ) + { + /* begin to read the data */ + fscanf(pFile, "%u %u %u", &nNbrVertex, &nNbrFace, &nTemp); + Mesh.SetNbrVertex( nNbrVertex ); + Mesh.SetNbrFace( nNbrFace ); + for( GW_U32 i=0; iSetPosition( Pos ); + Mesh.SetVertex( i, pVert ); + } + for( GW_U32 i=0; iSetVertex( *pVert, j ); + else + pFace->SetVertex( *pVert, 2-j ); + } + Mesh.SetFace( i, pFace ); + } + + fclose(pFile); + + return GW_OK; + } + } + + return GW_ERROR; + +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_OFFLoader::Save +/** + * \param Mesh [GW_Mesh&] The mesh. + * \param name [char*] The file name. + * \return [GW_I32] Was the saving successful ? + * \author Gabriel Peyré + * \date 5-27-2003 + * + * Save the mesh to a file. + */ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_OFFLoader::Save( GW_Mesh& Mesh, const char *name ) +{ + FILE* pFile = NULL; + pFile = fopen( name, "wt" ); + if( pFile ==NULL ) + return GW_Error_Opening_File; +#define WRITELN(str) fprintf( pFile, str "\n" ) + + WRITELN("OFF"); + fprintf( pFile, "%u %u 0\n", Mesh.GetNbrVertex(), Mesh.GetNbrFace() ); + + for( GW_U32 i=0; iGetPosition(); + fprintf(pFile, "%f %f %f,\n", Pos[0], Pos[1], Pos[2] ); + + } + for( GW_U32 i=0; iGetVertex(0)->GetID(), pFace->GetVertex(1)->GetID(), pFace->GetVertex(2)->GetID() ); + } + fclose(pFile); + + return GW_OK; +} + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_OFFLoader.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_OFFLoader.h new file mode 100644 index 0000000..fd6d115 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_OFFLoader.h @@ -0,0 +1,37 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_OFFLoader.h + * \brief Definition of class \c GW_OFFLoader + * \author Gabriel Peyré + * \date 4-9-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef __GW_OFFLoader__ +#define __GW_OFFLoader__ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Mesh.h" + +GW_BEGIN_NAMESPACE + +class GW_OFFLoader +{ +public: + + static GW_I32 Load(GW_Mesh& Mesh, const char *name, const char* mode = "rt", GW_Bool bFlipFaces = GW_False ); + static GW_I32 Save( GW_Mesh& Mesh, const char *name ); + +}; + +GW_END_NAMESPACE + +#endif // #ifdef __GW_OFFLoader__ + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_OpenGLHelper.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_OpenGLHelper.h new file mode 100644 index 0000000..5cd7fe2 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_OpenGLHelper.h @@ -0,0 +1,71 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_OpenGLHelper.h + * \brief Somme cool function for OpenGL linking + * \author Gabriel Peyré + * \date 5-30-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_OPENGLHELPER_H_ +#define _GW_OPENGLHELPER_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Vertex.h" +#include + +namespace GW { + + +/** some opengl cool linking features */ +inline +void glVertex( GW::GW_VectorStatic<3,GW_Float> &v ) +{ + glVertex3f( (GLfloat) v[0], (GLfloat) v[1], (GLfloat) v[2] ); +} + +inline +void glNormal( GW::GW_VectorStatic<3,GW_Float> &v ) +{ + glNormal3f( (GLfloat) v[0], (GLfloat) v[1], (GLfloat) v[2] ); +} + + +inline +void glColor( GW::GW_VectorStatic<3,GW_Float> &v ) +{ + glColor3f( (GLfloat) v[0], (GLfloat) v[1], (GLfloat) v[2] ); +} + +inline +void glVertex( GW::GW_Vertex &vert ) +{ + glVertex( vert.GetPosition() ); +} + +inline +void glNormal( GW::GW_Vertex &vert ) +{ + glNormal( vert.GetNormal() ); +} + +inline +void glTexCoord( GW::GW_Vertex &vert ) +{ + GLfloat u = (GLfloat) vert.GetTexCoordU(); + GLfloat v = (GLfloat) vert.GetTexCoordV(); + glTexCoord2f( u, v ); +} + + + +} // End namespace GW + +#endif // _GW_OPENGLHELPER_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_PLYLoader.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_PLYLoader.cpp new file mode 100644 index 0000000..047eab7 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_PLYLoader.cpp @@ -0,0 +1,369 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_PLYLoader.cpp + * \brief Definition of class \c GW_PLYLoader + * \author Gabriel Peyré + * \date 4-1-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_PLYLoader.cpp(c) Gabriel Peyré 2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_PLYLoader.h" + +using namespace GW; + +void big2littleendian(float& x) +{ + char* c = (char*) &x; + char t[4] = { c[3],c[2],c[1],c[0] }; + x = (float) (*t); +} +void big2littleendian(int& x) +{ + char* c = (char*) &x; + char t[4] = { c[3],c[2],c[1],c[0] }; + x = (int) (*t); +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_PLYLoader::Load +/** + * \param Mesh [GW_Mesh&] Mash to load data to. + * \param name [char*] File name. + * \return [GW_I32] >0 : loading successful. + * \author Gabriel Peyré + * \date 4-1-2003 + * + * Load data from a .PLY file. + */ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_PLYLoader::Load(GW_Mesh& Mesh, const char *name, const char* mode, GW_U32 nExtraVertexPad, GW_Bool bFlipFaces) +{ + + FILE* pFile = NULL; + pFile = fopen( name, mode ); + if( pFile ==NULL ) + return GW_Error_Opening_File; + + /* pass the file to ply reader */ + int nelems, num_elems, nprops; + char *elem_name; + PlyFile* in_ply = read_ply( pFile ); + if( in_ply==NULL ) + return GW_Error_Opening_File; + char** elist = get_element_list_ply( in_ply, &nelems ); + + /* are the data store using big endian ? */ + GW_Bool bConvertToLittleEndian = (in_ply->file_type==PLY_BINARY_BE); + + /* some temporary structures */ + struct plyVertex + { + /* the usual 3-space position of a vertex */ + float x; + float y; + float z; + /* the color */ + unsigned char red; + unsigned char green; + unsigned char blue; + }; + + struct plyFace + { + unsigned char red; + unsigned char green; + unsigned char blue; + unsigned char nverts; // number of vertex indices in list + int *verts; // vertex index list + }; + /* the proprieties we use to get back the data */ + PlyProperty vertProps[] = { + {"x", Float32, Float32, static_cast(offsetof(plyVertex,x)), + 0, 0, 0, 0}, + {"y", Float32, Float32, static_cast(offsetof(plyVertex,y)), + 0, 0, 0, 0}, + {"z", Float32, Float32, static_cast(offsetof(plyVertex,z)), + 0, 0, 0, 0}, + {"red", Uint8, Uint8, static_cast(offsetof(plyVertex,red)), 0, 0, 0, 0}, + {"green", Uint8, Uint8, static_cast(offsetof(plyVertex,green)), 0, 0, 0, 0}, + {"blue", Uint8, Uint8, static_cast(offsetof(plyVertex,blue)), 0, 0, 0, 0}, + }; + PlyProperty faceProps[] = { + {"vertex_indices", Int32, Int32, + static_cast(offsetof(plyFace,verts)), + 1, Uint8, Uint8, static_cast(offsetof(plyFace,nverts))}, + {"red", Uint8, Uint8, static_cast(offsetof(plyFace,red)), 0, 0, 0, 0}, + {"green", Uint8, Uint8, static_cast(offsetof(plyFace,green)), 0, 0, 0, 0}, + {"blue", Uint8, Uint8, static_cast(offsetof(plyFace,blue)), 0, 0, 0, 0}, + }; + + /* Check to make sure that we can read geometry */ + PlyElement *elem; + int index; + if( (elem = find_element (in_ply, "vertex")) == NULL || + find_property (elem, "x", &index) == NULL || + find_property (elem, "y", &index) == NULL || + find_property (elem, "z", &index) == NULL || + (elem = find_element (in_ply, "face")) == NULL || + find_property (elem, "vertex_indices", &index) == NULL ) + { + cerr << "Cannot read geometry." << endl; + close_ply(in_ply); + return GW_ERROR; + } + + /* Check for optional attribute data. We can handle the color red, green, blue. */ + GW_Bool bFaceColorAvailable = GW_False, bVertexColorAvailable = GW_False; + if( (elem = find_element (in_ply, "face")) != NULL && + find_property (elem, "red", &index) != NULL && + find_property (elem, "green", &index) != NULL && + find_property (elem, "blue", &index) != NULL ) + bFaceColorAvailable = GW_True; + + if( (elem = find_element( in_ply, "vertex" )) != NULL && + find_property (elem, "red", &index) != NULL && + find_property (elem, "green", &index) != NULL && + find_property (elem, "blue", &index) != NULL ) + bVertexColorAvailable = GW_True; + + /* Okay, now we can grab the data */ + for( GW_I32 i = 0; i < nelems; ++i ) + { + /* get the description of the first element */ + elem_name = elist[i]; + + get_element_description_ply(in_ply, elem_name, &num_elems, &nprops); +// old ply_get_element_description(in_ply, elem_name, &num_elems, &nprops); + + /* if we're on vertex elements, read them in */ + if( elem_name && strcmp("vertex", elem_name)==0 ) + { + GW_U32 nNbrVertex = num_elems; + /* set the number of vertex */ + Mesh.SetNbrVertex( nNbrVertex ); + + ply_get_property(in_ply, elem_name, &vertProps[0]); + ply_get_property(in_ply, elem_name, &vertProps[1]); + ply_get_property(in_ply, elem_name, &vertProps[2]); + + /* Setup to read the PLY elements */ + if( bVertexColorAvailable ) + { + ply_get_property(in_ply, elem_name, &vertProps[3]); + ply_get_property(in_ply, elem_name, &vertProps[4]); + ply_get_property(in_ply, elem_name, &vertProps[5]); + } + + /* read the vertices */ + plyVertex vertex; + for( GW_U32 j=0; j SetPosition( GW_Vector3D(vertex.x, vertex.y, vertex.z) ); + Mesh.SetVertex( j, pVert ); + if ( bVertexColorAvailable ) + { + // pVert->SetColor( GW_Vector3D(vertex.red, vertex.green, vertex.blue) ); + } + } + } //if vertex + else if( elem_name && !strcmp ("face", elem_name) ) + { + GW_U32 nNbrFace = num_elems; + Mesh.SetNbrFace( nNbrFace ); + + /* Setup to read the PLY elements */ + ply_get_property(in_ply, elem_name, &faceProps[0]); + if( bFaceColorAvailable ) + { + ply_get_property(in_ply, elem_name, &faceProps[1]); + ply_get_property(in_ply, elem_name, &faceProps[2]); + ply_get_property(in_ply, elem_name, &faceProps[3]); + } + /* grab all the face elements */ + for( GW_U32 j=0; j < nNbrFace; j++) + { + // grab and element from the file + plyFace face; + int verts[256]; // just 3 should be ok, but ... + face.verts = verts; + ply_get_element( in_ply, (void*) &face ); + // if( bConvertToLittleEndian ) + // big2littleendian(face.nverts); + /* GW_ASSERT( face.nverts==3 ); + if( face.nverts!=3 ) + { + cerr << "Face with more than 3 vertices are not supported." << endl; + return GW_ERROR; + }*/ + GW_Face* pFace = &Mesh.CreateNewFace(); + Mesh.SetFace( j, pFace ); + for( GW_U32 k=0; k<3; ++k) + { + if( bConvertToLittleEndian ) + big2littleendian(face.verts[k]); + GW_ASSERT( face.verts[k]>=0 ); + GW_Vertex* pVert = Mesh.GetVertex( face.verts[k] ); + GW_ASSERT( pVert!=NULL ); + if( !bFlipFaces ) + pFace->SetVertex( *pVert, k ); + else + pFace->SetVertex( *pVert, 2-k ); + } + if( bFaceColorAvailable ) + { + // pFace->SetColor( GW_Vector3D(face.red, face.green, face.blue) ); + } + } + } //if face + free(elist[i]); //allocated by ply_open_for_reading + } //for all elements of the PLY file + free(elist); //allocated by ply_open_for_reading + + /* close the PLY files */ + close_ply( in_ply ); + fclose( pFile ); + + return GW_OK; +} + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_PLYLoader::Save +/** + * \param Mesh [GW_Mesh&] The mesh. + * \param name [char*] The file name. + * \return [GW_I32] Was the saving successful ? + * \author Gabriel Peyré + * \date 5-27-2003 + * + * Save the mesh to a file. + */ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_PLYLoader::Save( GW_Mesh& Mesh, const char *name, GW_Bool bAscii ) +{ + + /* some temporary structures */ + struct plyVertex + { + /* the usual 3-space position of a vertex */ + float x; + float y; + float z; + }; + + struct plyFace + { + unsigned char nverts; // number of vertex indices in list + int *verts; // vertex index list + }; + /* the proprieties we use to get back the data */ + PlyProperty vertProps[] = { + {"x", Float32, Float32, static_cast(offsetof(plyVertex,x)), + 0, 0, 0, 0}, + {"y", Float32, Float32, static_cast(offsetof(plyVertex,y)), + 0, 0, 0, 0}, + {"z", Float32, Float32, static_cast(offsetof(plyVertex,z)), + 0, 0, 0, 0}, + }; + PlyProperty faceProps[] = { + {"vertex_indices", Int32, Int32, + static_cast(offsetof(plyFace,verts)), + 1, Uint8, Uint8, static_cast(offsetof(plyFace,nverts))}, + }; + + FILE* pFile = NULL; + pFile = fopen( name, "wt" ); + if( pFile ==NULL ) + return GW_Error_Opening_File; + + int file_type; + if( bAscii ) + file_type = PLY_ASCII; + else + file_type = PLY_BINARY_LE; + const char* elem_name[2] = {"vertex", "face"}; + PlyFile* out_ply = write_ply( pFile, 2, (char**) elem_name, file_type ); + + if( out_ply==NULL ) + return GW_Error_Opening_File; + + + + element_count_ply( out_ply, "vertex", Mesh.GetNbrVertex() ); + ply_describe_property( out_ply, "vertex", &vertProps[0]); + ply_describe_property( out_ply, "vertex", &vertProps[1]); + ply_describe_property( out_ply, "vertex", &vertProps[2]); + + + element_count_ply( out_ply, "face", Mesh.GetNbrFace() ); + ply_describe_property( out_ply, "face", &faceProps[0]); + + /* write a comment and an object information field */ + append_comment_ply( out_ply, "Generated by GeoWave -- http://nikopol0.altern.org/geowave/" ); + append_obj_info_ply( out_ply, "GeoWave: v1.0" ); + + /* complete the header */ + header_complete_ply( out_ply ); + + /* set up and write the vertex elements */ + plyVertex vert; + put_element_setup_ply( out_ply, "vertex" ); + + for( GW_U32 i=0; iGetPosition(); + vert.x = (float) Pos[0]; + vert.y = (float) Pos[1]; + vert.z = (float) Pos[2]; + put_element_ply( out_ply, (void*) &vert ); + } + + /* set up and write the face elements */ + plyFace face; + int verts[3]; + face.verts = verts; + put_element_setup_ply( out_ply, "face" ); + for( GW_U32 i=0; iGetVertex(j)!=NULL ); + face.verts[j] = (int) pFace->GetVertex(j)->GetID(); + } + face.nverts = 3; + put_element_ply( out_ply, (void*) &face ); + } + + put_element_ply( out_ply, (void*) &face ); + fclose(pFile); + + return GW_OK; +} + + + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_PLYLoader.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_PLYLoader.h new file mode 100644 index 0000000..6618427 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_PLYLoader.h @@ -0,0 +1,54 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_PLYLoader.h + * \brief Definition of class \c GW_PLYLoader + * \author Gabriel Peyré + * \date 4-1-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_PLYLOADER_H_ +#define _GW_PLYLOADER_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Mesh.h" +extern "C" { +#include "ply/ply.h" +} +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_PLYLoader + * \brief Loader for .ply polygon file. + * \author Gabriel Peyré + * \date 4-1-2003 + * + * PLY is a 3D standard from Stanford. + */ +/*------------------------------------------------------------------------------*/ + +class GW_PLYLoader +{ + +public: + + static GW_I32 Load(GW_Mesh& Mesh, const char *name, const char* mode = "rt", GW_U32 nExtraVertexPad = 2, GW_Bool bFlipFaces = GW_True ); + static GW_I32 Save( GW_Mesh& Mesh, const char *name, GW_Bool bAscii=GW_True ); + +private: + +}; + +} // End namespace GW + + +#endif // _GW_PLYLOADER_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_Toolkit.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_Toolkit.cpp new file mode 100644 index 0000000..a418a0a --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_Toolkit.cpp @@ -0,0 +1,574 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_Toolkit.cpp + * \brief Definition of class \c GW_Toolkit + * \author Gabriel Peyré + * \date 4-27-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_Toolkit.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_Toolkit.h" + +using namespace GW; + +T_GeodesicVertexList GW_Toolkit::StartVertexList_; + +const GW_Float GW_Toolkit::rRandomColor_[GW_TOOLKIT_NBR_COLOR][3] = +{ + {1.0, 0.0, 0.0}, + {0.0, 1.0, 0.0}, + {0.0, 0.0, 1.0}, + {0.0, 1.0, 1.0}, + {1.0, 0.0, 1.0}, + {1.0, 1.0, 0.0}, + {1.0, 0.5, 0.5}, + {0.5, 1.0, 0.5}, + {0.5, 0.5, 1.0}, + + + {1.0, 0.5, 0.0}, + {1.0, 0.0, 0.5}, + {0.5, 1.0, 0.0}, + {0.0, 1.0, 0.5}, + {0.5, 0.0, 1.0}, + {0.0, 0.5, 1.0}, + + {1.0, 1.0, 0.5}, + {1.0, 0.5, 1.0}, + {0.5, 1.0, 1.0}, +}; + + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Toolkit constructor +/** + * \author Gabriel Peyré + * \date 4-27-2003 + * + * Constructor. + */ +/*------------------------------------------------------------------------------*/ +GW_Toolkit::GW_Toolkit() +: nNbrStartVertex_( 1 ) +{ + Displayer_.EnableDraw( GW_BasicDisplayer::kGeodesicDistance ); + Displayer_.SetVectorScaling( GW_TOOLKIT_VECTOR_SCALING ); + CoarseDisplayer_.EnableDraw( GW_BasicDisplayer::kLighting ); +} + +const GW_Bool bResavePLY = GW_False; +const GW_Bool bResaveVRML = GW_False; +const GW_Bool bResaveGWM = GW_True; +const GW_Bool bResaveOFF = GW_True; +const GW_Bool bResaveOBJ = GW_True; + +/*------------------------------------------------------------------------------*/ +// Name : GW_Toolkit::LoadFile +/** +* \param file_name [char*] File name. +* \return [GW_I32] Was the loading successful ? +* \author Gabriel Peyré +* \date 4-2-2003 +* +* Load a file depending on it's extension. +*/ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_Toolkit::LoadFile(const char* file_name) +{ + StartVertexList_.clear(); + VoronoiMesh_.Reset(); + Mesh_.Reset(); + GeodesicPath_.ResetPath(); + pEndVertex_ = NULL; + /* analyse extension */ + string str(file_name); + string::size_type n = str.find_last_of( ".", str.length() ); + if( n!=string::npos ) + { + string ext = str.substr( n+1, str.size() ); + string base = str.substr( 0, n ); + if( ext=="ply" ) + { +#define MODE "rt" +#define EXTRA_PAD 8 +#define FLIP_FACES GW_True + GW_BasicDisplayer Displayer_; + cout << "Loading PLY file " << file_name << "... "; + GW_I32 nRet = GW_PLYLoader::Load( Mesh_, file_name, MODE, EXTRA_PAD, FLIP_FACES ); + if( nRet<0 ) + { + cout << endl << "Can't load file."; + return nRet; + } + cout << "done." << endl; + /* set up the connectivity */ + cout << "Building connectivity ... "; + Mesh_.BuildConnectivity(); + cout << "done." << endl; + /* rescaling */ + cout << "Rescaling vertex ... "; + Mesh_.TranslateVertex( -Mesh_.GetBarycenter() ); + Mesh_.ScaleVertex( 5/Mesh_.GetBoundingRadius() ); + cout << "done." << endl; + /* building normal AFTER connectivity */ + cout << "Building curvature informations ... "; + Mesh_.BuildCurvatureData(); + Mesh_.BuildRawNormal(); // todo : fix this. + cout << "done." << endl; + /* re-saving the file */ + if( bResaveGWM ) + { + cout << "Saving file in .gwm format ... "; + string base_gwm = base + ".gwm"; + GW_Ofstream file( base_gwm.c_str(), std::ofstream::out | std::ofstream::binary ); + file << Mesh_; + file.close(); + cout << "done." << endl; + } + /* resave in vrml format */ + if( bResaveVRML ) + { + cout << "Saving file in .wrl format ... "; + string base_wrl = base + ".wrl"; + GW_VRMLLoader::Save( Mesh_, base_wrl.c_str() ); + cout << "done." << endl; + } + + } + else if( ext=="ase" ) + { + GW_ASELoader ASELoader; + cout << "Loading ASE file " << file_name << " ... "; + GW_I32 nRet = ASELoader.Load( Mesh_, file_name ); + if( nRet<0 ) + { + cout << endl << "Can't load file."; + return nRet; + } + cout << "done." << endl; + /* set up the connectivity */ + cout << "Building connectivity ... "; + Mesh_.BuildConnectivity(); + cout << "done." << endl; + /* rescaling */ + cout << "Rescaling vertex ... "; + Mesh_.TranslateVertex( -Mesh_.GetBarycenter() ); + Mesh_.ScaleVertex( 5/Mesh_.GetBoundingRadius() ); + cout << "done." << endl; + /* building normal AFTER connectivity */ + cout << "Building curvature informations ... "; + Mesh_.BuildCurvatureData(); + Mesh_.BuildRawNormal(); // todo : fix this. + cout << "done." << endl; + /* re-saving the file */ + if( bResaveGWM ) + { + cout << "Saving file in .gwm format ... "; + string base_gwm = base + ".gwm"; + GW_Ofstream file( base_gwm.c_str(), std::ofstream::out | std::ofstream::binary ); + file << Mesh_; + file.close(); + cout << "done." << endl; + } + /* resave in OFF format */ + if( bResaveOFF ) + { + cout << "Saving file in .off format ... "; + string base_wrl = base + ".off"; + GW_OFFLoader::Save( Mesh_, base_wrl.c_str() ); + cout << "done." << endl; + } + /* resave in PLY format */ + if( bResavePLY ) + { + cout << "Saving file in .ply format ... "; + string base_wrl = base + ".ply"; + GW_PLYLoader::Save( Mesh_, base_wrl.c_str(), GW_False ); + cout << "done." << endl; + } + } + else if( ext=="wrl" ) + { + cout << "Loading VRML file " << file_name << " ... "; + GW_I32 nRet = GW_VRMLLoader::Load( Mesh_, file_name ); + if( nRet<0 ) + { + cout << endl << "Can't load file."; + return nRet; + } + cout << "done." << endl; + /* set up the connectivity */ + cout << "Building connectivity ... "; + Mesh_.BuildConnectivity(); + cout << "done." << endl; + /* rescaling */ + cout << "Rescaling vertex ... "; + Mesh_.TranslateVertex( -Mesh_.GetBarycenter() ); + GW_Float rRadius = Mesh_.GetBoundingRadius(); + GW_ASSERT( rRadius>0 ); + Mesh_.ScaleVertex( 5/(rRadius+0.001) ); + cout << "done." << endl; + /* building normal AFTER connectivity */ + cout << "Building curvature informations ... "; + Mesh_.BuildCurvatureData(); + Mesh_.BuildRawNormal(); // todo : fix this. + cout << "done." << endl; + /* re-saving the file */ + if( bResaveGWM ) + { + cout << "Saving file in .gwm format ... "; + string base_gwm = base + ".gwm"; + GW_Ofstream file( base_gwm.c_str(), std::ofstream::out | std::ofstream::binary ); + file << Mesh_; + file.close(); + cout << "done." << endl; + } + } + else if( ext=="off" ) + { + cout << "Loading OFF file " << file_name << " ... "; + GW_I32 nRet = GW_OFFLoader::Load( Mesh_, file_name ); + if( nRet<0 ) + { + cout << endl << "Can't load file."; + return nRet; + } + cout << "done." << endl; + /* set up the connectivity */ + cout << "Building connectivity ... "; + GW_Vertex* pVert = Mesh_.GetVertex(0); + Mesh_.GetVertex(10); + Mesh_.BuildConnectivity(); + pVert = Mesh_.GetVertex(0); + Mesh_.GetVertex(10); + cout << "done." << endl; + /* rescaling */ + cout << "Rescaling vertex ... "; + Mesh_.TranslateVertex( -Mesh_.GetBarycenter() ); + pVert = Mesh_.GetVertex(0); + Mesh_.GetVertex(10); + GW_Float rRadius = Mesh_.GetBoundingRadius(); + GW_ASSERT( rRadius>0 ); + Mesh_.ScaleVertex( 5/(rRadius+0.001) ); + cout << "done." << endl; + /* building normal AFTER connectivity */ + cout << "Building curvature informations ... "; + Mesh_.BuildCurvatureData(); + Mesh_.BuildRawNormal(); + cout << "done." << endl; + /* re-saving the file */ + if( bResaveOFF ) + { + cout << "Saving file in .gwm format ... "; + string base_gwm = base + ".gwm"; + GW_Ofstream file( base_gwm.c_str(), std::ofstream::out | std::ofstream::binary ); + file << Mesh_; + file.close(); + cout << "done." << endl; + } + } + + else if( ext=="obj" ) + { + cout << "Loading OBJ file " << file_name << " ... "; + GW_I32 nRet = GW_OBJLoader::Load( Mesh_, file_name ); + if( nRet<0 ) + { + cout << endl << "Can't load file."; + return nRet; + } + cout << "done." << endl; + /* set up the connectivity */ + cout << "Building connectivity ... "; + GW_Vertex* pVert = Mesh_.GetVertex(0); + Mesh_.GetVertex(10); + Mesh_.BuildConnectivity(); + pVert = Mesh_.GetVertex(0); + Mesh_.GetVertex(10); + cout << "done." << endl; + /* rescaling */ + cout << "Rescaling vertex ... "; + Mesh_.TranslateVertex( -Mesh_.GetBarycenter() ); + pVert = Mesh_.GetVertex(0); + Mesh_.GetVertex(10); + GW_Float rRadius = Mesh_.GetBoundingRadius(); + GW_ASSERT( rRadius>0 ); + Mesh_.ScaleVertex( 5/(rRadius+0.001) ); + cout << "done." << endl; + /* building normal AFTER connectivity */ + cout << "Building curvature informations ... "; + Mesh_.BuildCurvatureData(); + Mesh_.BuildRawNormal(); + cout << "done." << endl; + /* re-saving the file */ + if( bResaveOBJ ) + { + cout << "Saving file in .gwm format ... "; + string base_gwm = base + ".gwm"; + GW_Ofstream file( base_gwm.c_str(), std::ofstream::out | std::ofstream::binary ); + file << Mesh_; + file.close(); + cout << "done." << endl; + } + } + else if( ext=="gwm" ) + { + cout << "Loading GWM file " << file_name << " ... "; + GW_Ifstream file( file_name, std::ios_base::in | std::ios_base::binary); + file >> Mesh_; + file.close(); + cout << "done." << endl; + /* building normal */ + cout << "Building curvature informations ... "; + Mesh_.BuildCurvatureData(); + Mesh_.BuildRawNormal(); // todo : fix this. + cout << "done." << endl; + } + else + { + cerr << "load_file: " << file_name << " is not a supported file name." << endl; + return GW_Error_File_Not_Supported; + } + } + else + { + cerr << "load_file: " << file_name << " is not a supported file name." << endl; + return GW_Error_File_Not_Supported; + } + + char s[100]; + sprintf( s, "Number of vertices : %d", Mesh_.GetNbrVertex() ); + GW_OutputComment( s ); + sprintf( s, "Number of faces : %d", Mesh_.GetNbrFace() ); + GW_OutputComment( s ); + + Displayer_.SetUpDraw( Mesh_ ); + Displayer_.BuildVertexArray( Mesh_ ); + this->SetUpMarching(); + + return GW_OK; +} + +void GW_Toolkit::SetUpMarching( GW_GeodesicVertex* pUserStart ) +{ + StartVertexList_.clear(); + GW_GeodesicVertex* pStartVertex = NULL; + Mesh_.ResetGeodesicMesh(); + /* find start vertex */ + for( GW_U32 i=0; i=0 if success. + * \author Gabriel Peyré + * \date 5-5-2003 + * + * Load a list of file. + */ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_Toolkit::LoadFileList( const char* file, T_StringList& FileList ) +{ + /* load the file listing */ + FILE* pFile = fopen( file, "rt" ); + if( pFile==NULL ) + return -1; + char data[255]; + while( !feof(pFile) ) + { + fscanf(pFile, "%s", &data); + if( data[0]=='#' ) + { + // skip line + char c = 0; + while( !feof(pFile) && !(c=='\n') ) + c = fgetc( pFile ); + } + else + FileList.push_back( string(data) ); + } + fclose( pFile ); + + return 0; +} + + +/*------------------------------------------------------------------------------*/ +// Name : GW_Toolkit::Display +/** + * \param gc [GW_GeometryCell&] The cell + * \author Gabriel Peyré + * \date 2-4-2004 + * + * Display a gometry cell. + */ +/*------------------------------------------------------------------------------*/ +void GW_Toolkit::Display( GW_GeometryCell& gc, GW_Float boundary_thick, GW_Float half_boundary_thick, + GW_Vector3D boundary_color, GW_Vector3D half_boundary_color, GW_Vector3D fill_color ) +{ + glColor( fill_color ); + glLineWidth(1); + for( GW_U32 j=0; j<(gc.GetWidth()-1); ++j ) + { + glBegin(GL_QUAD_STRIP); + for( GW_U32 i=0; i0 ) + { + glColor( half_boundary_color ); + glLineWidth(half_boundary_thick); + glBegin(GL_LINE_STRIP); + for( GW_U32 i=0; i0 ) + { + glColor( boundary_color ); + glLineWidth(boundary_thick); + glBegin(GL_LINE_STRIP); + for( GW_I32 i=0; i0 ) nNbrStartVertex_--; return nNbrStartVertex_; } + + GW_GeodesicVertex* GetEndVertex() + { return pEndVertex_; } + static T_GeodesicVertexList& GetStartVertex() + { return StartVertexList_; } + + static GW_Vector3D GetRandomColor(); + + /** geometry cells helpers */ + static void Display( GW_GeometryCell& gc, GW_Float boundary_thick = 0, GW_Float half_boundary_thick = 0, + GW_Vector3D boundary_color = GW_Vector3D(0,0,0), GW_Vector3D half_boundary_color = GW_Vector3D(1,0,0), GW_Vector3D fill_color = GW_Vector3D(0.5f,0.5f,0.5f) ); + static void Display( GW_GeometryAtlas& ga, GW_Float boundary_thick = 0, GW_Float half_boundary_thick = 0, + GW_Vector3D boundary_color = GW_Vector3D(0,0,0), GW_Vector3D half_boundary_color = GW_Vector3D(1,0,0), GW_Vector3D fill_color = GW_Vector3D(0.5f,0.5f,0.5f) ); + +private: + + GW_GeodesicMesh Mesh_; + GW_VoronoiMesh VoronoiMesh_; + + GW_GeodesicDisplayer Displayer_; + GW_BasicDisplayer CoarseDisplayer_; + + GW_GeodesicPath GeodesicPath_; + + GW_GeodesicVertex* pEndVertex_; + static T_GeodesicVertexList StartVertexList_; + + GW_U32 nNbrStartVertex_; + + + #define GW_TOOLKIT_NBR_COLOR 18 + static const GW_Float rRandomColor_[GW_TOOLKIT_NBR_COLOR][3]; + +}; + +} // End namespace GW + + +#endif // _GW_TOOLKIT_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_VRMLLoader.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_VRMLLoader.cpp new file mode 100644 index 0000000..0092a80 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_VRMLLoader.cpp @@ -0,0 +1,194 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VRMLLoader.cpp + * \brief Definition of class \c GW_VRMLLoader + * \author Gabriel Peyré + * \date 5-20-2003 + */ +/*------------------------------------------------------------------------------*/ + + +#ifdef GW_SCCSID + static const char* sccsid = "@(#) GW_VRMLLoader.cpp(c) Gabriel Peyré2003"; +#endif // GW_SCCSID + +#include "stdafx.h" +#include "GW_VRMLLoader.h" + + +using namespace GW; + + +/*------------------------------------------------------------------------------*/ +// Name : GW_VRMLLoader::Load +/** +* \param Mesh [GW_Mesh&] Mash to load data to. +* \param name [char*] File name. +* \return [GW_I32] >0 : loading successful. +* \author Gabriel Peyré +* \date 4-1-2003 +* +* Load data from a .PLY file. +*/ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_VRMLLoader::Load(GW_Mesh& Mesh, const char *name, const char* mode, GW_U32 nExtraVertexPad, GW_Bool bFlipFaces) +{ + FILE* pFile = NULL; + pFile = fopen( name, mode ); + if( pFile ==NULL ) + return GW_Error_Opening_File; + + char data[255]; + GW_U32 nNbrVertex = 0; + GW_U32 nNbrFace = 0; + float Vect[3]; + GW_U32 nVertexNumber[3]; + GW_U32 nFaceValence = 0; + GW_Vertex* pVert = NULL; + GW_Face* pFace = NULL; + + T_FloatVector vX, vY, vZ; + + std::map VertCorrespondance; + GW_Bool bVertexDone = GW_False; + + while( !feof(pFile) ) + { + fscanf(pFile, "%s", &data); + + if( strcmp(data, "vertex")==0 ) + { + fscanf(pFile, "%u", &nNbrVertex); + Mesh.SetNbrVertex( nNbrVertex ); + } + else if( strcmp(data, "face")==0 ) + { + fscanf(pFile, "%u", &nNbrFace); + Mesh.SetNbrFace( nNbrFace ); + } + else if( strcmp( data, "point[" )==0 && !bVertexDone ) + { + bVertexDone = GW_True; + for( GW_U32 i=0; iSetPosition( Pos ); + Mesh.SetVertex( i, pVert ); +#if 0 + /* this is to avoid an annoying problem of vertex duplication */ + for( GW_U32 j=0; jGetPosition(); + if( (Pos-Pos1).Norm()SetVertex( *pVert, j ); + else + pFace->SetVertex( *pVert, 2-j ); + } + Mesh.SetFace( i, pFace ); + } + } + else if( strcmp( data, "point[" )==0 && bVertexDone ) + { + /* texture coords */ + float u=0,v=0; + for( GW_U32 i=0; iSetTexCoords( u,v ); + } + } + } + + fclose(pFile); + + return GW_OK; +} + +/*------------------------------------------------------------------------------*/ +// Name : GW_VRMLLoader::Save +/** + * \param Mesh [GW_Mesh&] The mesh. + * \param name [char*] The file name. + * \return [GW_I32] Was the saving successful ? + * \author Gabriel Peyré + * \date 5-27-2003 + * + * Save the mesh to a file. + */ +/*------------------------------------------------------------------------------*/ +GW_I32 GW_VRMLLoader::Save( GW_Mesh& Mesh, const char *name ) +{ + FILE* pFile = NULL; + pFile = fopen( name, "wt" ); + if( pFile ==NULL ) + return GW_Error_Opening_File; +#define WRITELN(str) fprintf( pFile, str "\n" ) + + WRITELN("#VRML V2.0 utf8"); + WRITELN("Group {"); + WRITELN("children ["); + WRITELN("Shape {"); + WRITELN("geometry IndexedFaceSet {"); + WRITELN("coord Coordinate {"); + WRITELN("point["); + + for( GW_U32 i=0; iGetPosition(); + fprintf(pFile, " %f %f %f,\n", Pos[0], Pos[1], Pos[2] ); + + } + + WRITELN("]"); + WRITELN("}"); + WRITELN("coordIndex["); + + for( GW_U32 i=0; iGetVertex(0)->GetID(), pFace->GetVertex(1)->GetID(), pFace->GetVertex(2)->GetID() ); + } + + WRITELN("]"); + WRITELN("}"); // geometry + WRITELN("}"); // shape + WRITELN("]"); // children + WRITELN("}"); // group + + fclose(pFile); + + return GW_OK; +} + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_VRMLLoader.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_VRMLLoader.h new file mode 100644 index 0000000..ec8a6f6 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/GW_VRMLLoader.h @@ -0,0 +1,51 @@ + +/*------------------------------------------------------------------------------*/ +/** + * \file GW_VRMLLoader.h + * \brief Definition of class \c GW_VRMLLoader + * \author Gabriel Peyré + * \date 5-20-2003 + */ +/*------------------------------------------------------------------------------*/ + +#ifndef _GW_VRMLLOADER_H_ +#define _GW_VRMLLOADER_H_ + +#include "../gw_core/GW_Config.h" +#include "../gw_core/GW_Mesh.h" + +namespace GW { + +/*------------------------------------------------------------------------------*/ +/** + * \class GW_VRMLLoader + * \brief Load data from a VRML file. + * \author Gabriel Peyré + * \date 5-20-2003 + * + * Very simple loader. + */ +/*------------------------------------------------------------------------------*/ + +class GW_VRMLLoader +{ + +public: + + static GW_I32 Load(GW_Mesh& Mesh, const char *name, const char* mode = "rt", GW_U32 nExtraVertexPad = 2, GW_Bool bFlipFaces = GW_False ); + static GW_I32 Save( GW_Mesh& Mesh, const char *name ); +private: + +}; + +} // End namespace GW + + +#endif // _GW_VRMLLOADER_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/gw_toolkit.vcproj b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/gw_toolkit.vcproj new file mode 100644 index 0000000..3e15dde --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/gw_toolkit.vcproj @@ -0,0 +1,258 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/all-wcprops b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/all-wcprops new file mode 100644 index 0000000..69c45e1 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/all-wcprops @@ -0,0 +1,35 @@ +K 25 +svn:wc:ra_dav:version-url +V 87 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_toolkit/ply +END +ply.c +K 25 +svn:wc:ra_dav:version-url +V 93 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_toolkit/ply/ply.c +END +plyfile.cpp +K 25 +svn:wc:ra_dav:version-url +V 99 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_toolkit/ply/plyfile.cpp +END +plytest.c +K 25 +svn:wc:ra_dav:version-url +V 97 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_toolkit/ply/plytest.c +END +ply.h +K 25 +svn:wc:ra_dav:version-url +V 93 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_toolkit/ply/ply.h +END +ply_docs +K 25 +svn:wc:ra_dav:version-url +V 96 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/mex/gw/gw_toolkit/ply/ply_docs +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/entries b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/entries new file mode 100644 index 0000000..846fdc8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/entries @@ -0,0 +1,93 @@ +8 + +dir +12 +https://matlabcompanion.svn.sourceforge.net/svnroot/matlabcompanion/toolbox/toolbox_fast_marching/mex/gw/gw_toolkit/ply +https://matlabcompanion.svn.sourceforge.net/svnroot/matlabcompanion + + + +2008-08-16T12:32:42.608947Z +1 +nikopol0 + + +svn:special svn:externals svn:needs-lock + + + + + + + + + + + +0211462f-4f08-4595-aba7-0193070202b6 + +ply.c +file + + + + +2008-08-16T13:43:20.000000Z +266ab4e2b895a3d1b136fe363f899036 +2008-08-16T12:32:42.608947Z +1 +nikopol0 +has-props + +plyfile.cpp +file + + + + +2008-08-16T13:43:20.000000Z +e54822094b1985776efda7d10d78b4e6 +2008-08-16T12:32:42.608947Z +1 +nikopol0 +has-props + +plytest.c +file + + + + +2008-08-16T13:43:20.000000Z +ce829e4cb085da0002c71fb59728ae21 +2008-08-16T12:32:42.608947Z +1 +nikopol0 +has-props + +ply.h +file + + + + +2008-08-16T13:43:20.000000Z +4bf0f777805547167c45dff521d69998 +2008-08-16T12:32:42.608947Z +1 +nikopol0 +has-props + +ply_docs +file + + + + +2008-08-16T13:43:20.000000Z +3518add69bb6d6964740a8687a8dee32 +2008-08-16T12:32:42.608947Z +1 +nikopol0 +has-props + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/format b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/format new file mode 100644 index 0000000..45a4fb7 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/format @@ -0,0 +1 @@ +8 diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/prop-base/ply.c.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/prop-base/ply.c.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/prop-base/ply.c.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/prop-base/ply.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/prop-base/ply.h.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/prop-base/ply.h.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/prop-base/ply_docs.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/prop-base/ply_docs.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/prop-base/ply_docs.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/prop-base/plyfile.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/prop-base/plyfile.cpp.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/prop-base/plyfile.cpp.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/prop-base/plytest.c.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/prop-base/plytest.c.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/prop-base/plytest.c.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/text-base/ply.c.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/text-base/ply.c.svn-base new file mode 100644 index 0000000..d034f5b --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/text-base/ply.c.svn-base @@ -0,0 +1,3313 @@ +/* + +The interface routines for reading and writing PLY polygon files. + +Greg Turk + +--------------------------------------------------------------- + +A PLY file contains a single polygonal _object_. + +An object is composed of lists of _elements_. Typical elements are +vertices, faces, edges and materials. + +Each type of element for a given object has one or more _properties_ +associated with the element type. For instance, a vertex element may +have as properties the floating-point values x,y,z and the three unsigned +chars representing red, green and blue. + +----------------------------------------------------------------------- + +Copyright (c) 1998 Georgia Institute of Technology. All rights reserved. + +Permission to use, copy, modify and distribute this software and its +documentation for any purpose is hereby granted without fee, provided +that the above copyright notice and this permission notice appear in +all copies of this software and that you do not sell the software. + +THE SOFTWARE IS PROVIDED "AS IS" AND WITHOUT WARRANTY OF ANY KIND, +EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY +WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. + +*/ + +#include +#include +#include +#include +#include "ply.h" + +char *type_names[] = { /* names of scalar types */ +"invalid", +"int8", "int16", "int32", "uint8", "uint16", "uint32", "float32", "float64", +}; + +char *old_type_names[] = { /* old names of types for backward compatability */ +"invalid", +"char", "short", "int", "uchar", "ushort", "uint", "float", "double", +}; + +int ply_type_size[] = { + 0, 1, 2, 4, 1, 2, 4, 4, 8 +}; + +#define NO_OTHER_PROPS -1 + +#define DONT_STORE_PROP 0 +#define STORE_PROP 1 + +#define OTHER_PROP 0 +#define NAMED_PROP 1 + +/* returns 1 if strings are equal, 0 if not */ +int equal_strings(char *, char *); + +/* find an element in a plyfile's list */ +PlyElement *find_element(PlyFile *, char *); + +/* find a property in an element's list */ +PlyProperty *find_property(PlyElement *, char *, int *); + +/* write to a file the word describing a PLY file data type */ +void write_scalar_type (FILE *, int); + +/* read a line from a file and break it up into separate words */ +char **get_words(FILE *, int *, char **); + +/* write an item to a file */ +void write_binary_item(FILE *, int, unsigned int, double, int); +void write_ascii_item(FILE *, int, unsigned int, double, int); + +/* add information to a PLY file descriptor */ +void add_element(PlyFile *, char **, int); +void add_property(PlyFile *, char **, int); +void add_comment(PlyFile *, char *); +void add_obj_info(PlyFile *, char *); + +/* copy a property */ +void copy_property(PlyProperty *, PlyProperty *); + +/* store a value into where a pointer and a type specify */ +void store_item(char *, int, int, unsigned int, double); + +/* return the value of a stored item */ +void get_stored_item( void *, int, int *, unsigned int *, double *); + +/* return the value stored in an item, given ptr to it and its type */ +double get_item_value(char *, int); + +/* get binary or ascii item and store it according to ptr and type */ +void get_ascii_item(char *, int, int *, unsigned int *, double *); +void get_binary_item(FILE *, int, int *, unsigned int *, double *); + +/* get a bunch of elements from a file */ +void ascii_get_element(PlyFile *, char *); +void binary_get_element(PlyFile *, char *); + +/* memory allocation */ +static char *my_alloc(int, int, char *); + + +/*************/ +/* Writing */ +/*************/ + + +/****************************************************************************** +Given a file pointer, get ready to write PLY data to the file. + +Entry: + fp - the given file pointer + nelems - number of elements in object + elem_names - list of element names + file_type - file type, either ascii or binary + +Exit: + returns a pointer to a PlyFile, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *ply_write( + FILE *fp, + int nelems, + char **elem_names, + int file_type +) +{ + int i; + PlyFile *plyfile; + PlyElement *elem; + + /* check for NULL file pointer */ + if (fp == NULL) + return (NULL); + + /* create a record for this object */ + + plyfile = (PlyFile *) myalloc (sizeof (PlyFile)); + plyfile->file_type = file_type; + plyfile->num_comments = 0; + plyfile->num_obj_info = 0; + plyfile->num_elem_types = nelems; + plyfile->version = 1.0; + plyfile->fp = fp; + plyfile->other_elems = NULL; + + /* tuck aside the names of the elements */ + + plyfile->elems = (PlyElement **) myalloc (sizeof (PlyElement *) * nelems); + for (i = 0; i < nelems; i++) { + elem = (PlyElement *) myalloc (sizeof (PlyElement)); + plyfile->elems[i] = elem; + elem->name = strdup (elem_names[i]); + elem->num = 0; + elem->nprops = 0; + } + + /* return pointer to the file descriptor */ + return (plyfile); +} + + +/****************************************************************************** +Open a polygon file for writing. + +Entry: + filename - name of file to read from + nelems - number of elements in object + elem_names - list of element names + file_type - file type, either ascii or binary + +Exit: + returns a file identifier, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *open_for_writing_ply( + char *filename, + int nelems, + char **elem_names, + int file_type +) +{ + int i; + PlyFile *plyfile; + PlyElement *elem; + char *name; + FILE *fp; + + /* tack on the extension .ply, if necessary */ + + name = (char *) myalloc (sizeof (char) * (strlen (filename) + 5)); + strcpy (name, filename); + if (strlen (name) < 4 || + strcmp (name + strlen (name) - 4, ".ply") != 0) + strcat (name, ".ply"); + + /* open the file for writing */ + + fp = fopen (name, "w"); + if (fp == NULL) { + return (NULL); + } + + /* create the actual PlyFile structure */ + + plyfile = ply_write (fp, nelems, elem_names, file_type); + if (plyfile == NULL) + return (NULL); + + /* return pointer to the file descriptor */ + return (plyfile); +} + + +/****************************************************************************** +Describe an element, including its properties and how many will be written +to the file. + +Entry: + plyfile - file identifier + elem_name - name of element that information is being specified about + nelems - number of elements of this type to be written + nprops - number of properties contained in the element + prop_list - list of properties +******************************************************************************/ + +void element_layout_ply( + PlyFile *plyfile, + char *elem_name, + int nelems, + int nprops, + PlyProperty *prop_list +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + + /* look for appropriate element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf(stderr,"element_layout_ply: can't find element '%s'\n",elem_name); + exit (-1); + } + + elem->num = nelems; + + /* copy the list of properties */ + + elem->nprops = nprops; + elem->props = (PlyProperty **) myalloc (sizeof (PlyProperty *) * nprops); + elem->store_prop = (char *) myalloc (sizeof (char) * nprops); + + for (i = 0; i < nprops; i++) { + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + elem->props[i] = prop; + elem->store_prop[i] = NAMED_PROP; + copy_property (prop, &prop_list[i]); + } +} + + +/****************************************************************************** +Describe a property of an element. + +Entry: + plyfile - file identifier + elem_name - name of element that information is being specified about + prop - the new property +******************************************************************************/ + +void ply_describe_property( + PlyFile *plyfile, + char *elem_name, + PlyProperty *prop +) +{ + PlyElement *elem; + PlyProperty *elem_prop; + + /* look for appropriate element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf(stderr, "ply_describe_property: can't find element '%s'\n", + elem_name); + return; + } + + /* create room for new property */ + + if (elem->nprops == 0) { + elem->props = (PlyProperty **) myalloc (sizeof (PlyProperty *)); + elem->store_prop = (char *) myalloc (sizeof (char)); + elem->nprops = 1; + } + else { + elem->nprops++; + elem->props = (PlyProperty **) + realloc (elem->props, sizeof (PlyProperty *) * elem->nprops); + elem->store_prop = (char *) + realloc (elem->store_prop, sizeof (char) * elem->nprops); + } + + /* copy the new property */ + + elem_prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + elem->props[elem->nprops - 1] = elem_prop; + elem->store_prop[elem->nprops - 1] = NAMED_PROP; + copy_property (elem_prop, prop); +} + + +/****************************************************************************** +State how many of a given element will be written. + +Entry: + plyfile - file identifier + elem_name - name of element that information is being specified about + nelems - number of elements of this type to be written +******************************************************************************/ + +void element_count_ply( + PlyFile *plyfile, + char *elem_name, + int nelems +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + + /* look for appropriate element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf(stderr,"element_count_ply: can't find element '%s'\n",elem_name); + exit (-1); + } + + elem->num = nelems; +} + + +/****************************************************************************** +Signal that we've described everything a PLY file's header and that the +header should be written to the file. + +Entry: + plyfile - file identifier +******************************************************************************/ + +void header_complete_ply(PlyFile *plyfile) +{ + int i,j; + FILE *fp = plyfile->fp; + PlyElement *elem; + PlyProperty *prop; + + fprintf (fp, "ply\n"); + + switch (plyfile->file_type) { + case PLY_ASCII: + fprintf (fp, "format ascii 1.0\n"); + break; + case PLY_BINARY_BE: + fprintf (fp, "format binary_big_endian 1.0\n"); + break; + case PLY_BINARY_LE: + fprintf (fp, "format binary_little_endian 1.0\n"); + break; + default: + fprintf (stderr, "ply_header_complete: bad file type = %d\n", + plyfile->file_type); + exit (-1); + } + + /* write out the comments */ + + for (i = 0; i < plyfile->num_comments; i++) + fprintf (fp, "comment %s\n", plyfile->comments[i]); + + /* write out object information */ + + for (i = 0; i < plyfile->num_obj_info; i++) + fprintf (fp, "obj_info %s\n", plyfile->obj_info[i]); + + /* write out information about each element */ + + for (i = 0; i < plyfile->num_elem_types; i++) { + + elem = plyfile->elems[i]; + fprintf (fp, "element %s %d\n", elem->name, elem->num); + + /* write out each property */ + for (j = 0; j < elem->nprops; j++) { + prop = elem->props[j]; + if (prop->is_list == PLY_LIST) { + fprintf (fp, "property list "); + write_scalar_type (fp, prop->count_external); + fprintf (fp, " "); + write_scalar_type (fp, prop->external_type); + fprintf (fp, " %s\n", prop->name); + } + else if (prop->is_list == PLY_STRING) { + fprintf (fp, "property string"); + fprintf (fp, " %s\n", prop->name); + } + else { + fprintf (fp, "property "); + write_scalar_type (fp, prop->external_type); + fprintf (fp, " %s\n", prop->name); + } + } + } + + fprintf (fp, "end_header\n"); +} + + +/****************************************************************************** +Specify which elements are going to be written. This should be called +before a call to the routine ply_put_element(). + +Entry: + plyfile - file identifier + elem_name - name of element we're talking about +******************************************************************************/ + +void put_element_setup_ply(PlyFile *plyfile, char *elem_name) +{ + PlyElement *elem; + + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf(stderr, "put_element_setup_ply: can't find element '%s'\n", elem_name); + exit (-1); + } + + plyfile->which_elem = elem; +} + + +/****************************************************************************** +Write an element to the file. This routine assumes that we're +writing the type of element specified in the last call to the routine +put_element_setup_ply(). + +Entry: + plyfile - file identifier + elem_ptr - pointer to the element +******************************************************************************/ + +void put_element_ply(PlyFile *plyfile, void *elem_ptr) +{ + int i,j,k; + FILE *fp = plyfile->fp; + PlyElement *elem; + PlyProperty *prop; + char *item; + char *elem_data; + char **item_ptr; + int list_count; + int item_size; + int int_val; + unsigned int uint_val; + double double_val; + char **other_ptr; + + elem = plyfile->which_elem; + elem_data = (char *) elem_ptr; + other_ptr = (char **) (((char *) elem_ptr) + elem->other_offset); + + /* write out either to an ascii or binary file */ + + if (plyfile->file_type == PLY_ASCII) { + + /* write an ascii file */ + + /* write out each property of the element */ + for (j = 0; j < elem->nprops; j++) { + + prop = elem->props[j]; + + if (elem->store_prop[j] == OTHER_PROP) + elem_data = *other_ptr; + else + elem_data = (char *) elem_ptr; + + if (prop->is_list == PLY_LIST) { /* list */ + item = elem_data + prop->count_offset; + get_stored_item ((void *) item, prop->count_internal, + &int_val, &uint_val, &double_val); + write_ascii_item (fp, int_val, uint_val, double_val, + prop->count_external); + list_count = uint_val; + item_ptr = (char **) (elem_data + prop->offset); + item = item_ptr[0]; + item_size = ply_type_size[prop->internal_type]; + for (k = 0; k < list_count; k++) { + get_stored_item ((void *) item, prop->internal_type, + &int_val, &uint_val, &double_val); + write_ascii_item (fp, int_val, uint_val, double_val, + prop->external_type); + item += item_size; + } + } + else if (prop->is_list == PLY_STRING) { /* string */ + char **str; + item = elem_data + prop->offset; + str = (char **) item; + fprintf (fp, "\"%s\"", *str); + } + else { /* scalar */ + item = elem_data + prop->offset; + get_stored_item ((void *) item, prop->internal_type, + &int_val, &uint_val, &double_val); + write_ascii_item (fp, int_val, uint_val, double_val, + prop->external_type); + } + } + + fprintf (fp, "\n"); + } + else { + + /* write a binary file */ + + /* write out each property of the element */ + for (j = 0; j < elem->nprops; j++) { + prop = elem->props[j]; + if (elem->store_prop[j] == OTHER_PROP) + elem_data = *other_ptr; + else + elem_data = (char *) elem_ptr; + if (prop->is_list == PLY_LIST) { /* list */ + item = elem_data + prop->count_offset; + item_size = ply_type_size[prop->count_internal]; + get_stored_item ((void *) item, prop->count_internal, + &int_val, &uint_val, &double_val); + write_binary_item (fp, int_val, uint_val, double_val, + prop->count_external); + list_count = uint_val; + item_ptr = (char **) (elem_data + prop->offset); + item = item_ptr[0]; + item_size = ply_type_size[prop->internal_type]; + for (k = 0; k < list_count; k++) { + get_stored_item ((void *) item, prop->internal_type, + &int_val, &uint_val, &double_val); + write_binary_item (fp, int_val, uint_val, double_val, + prop->external_type); + item += item_size; + } + } + else if (prop->is_list == PLY_STRING) { /* string */ + int len; + char **str; + item = elem_data + prop->offset; + str = (char **) item; + + /* write the length */ + len = strlen(*str) + 1; + fwrite (&len, sizeof(int), 1, fp); + + /* write the string, including the null character */ + fwrite (*str, len, 1, fp); + } + else { /* scalar */ + item = elem_data + prop->offset; + item_size = ply_type_size[prop->internal_type]; + get_stored_item ((void *) item, prop->internal_type, + &int_val, &uint_val, &double_val); + write_binary_item (fp, int_val, uint_val, double_val, + prop->external_type); + } + } + + } +} + + + + + + +/*************/ +/* Reading */ +/*************/ + + + +/****************************************************************************** +Given a file pointer, get ready to read PLY data from the file. + +Entry: + fp - the given file pointer + +Exit: + nelems - number of elements in object + elem_names - list of element names + returns a pointer to a PlyFile, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *ply_read(FILE *fp, int *nelems, char ***elem_names) +{ + int i,j; + PlyFile *plyfile; + int nwords; + char **words; + int found_format = 0; + char **elist; + PlyElement *elem; + char *orig_line; + + /* check for NULL file pointer */ + if (fp == NULL) + return (NULL); + + /* create record for this object */ + + plyfile = (PlyFile *) myalloc (sizeof (PlyFile)); + plyfile->num_elem_types = 0; + plyfile->comments = NULL; + plyfile->num_comments = 0; + plyfile->obj_info = NULL; + plyfile->num_obj_info = 0; + plyfile->fp = fp; + plyfile->other_elems = NULL; + plyfile->rule_list = NULL; + + /* read and parse the file's header */ + + words = get_words (plyfile->fp, &nwords, &orig_line); + if (!words || !equal_strings (words[0], "ply")) + return (NULL); + + while (words) { + + /* parse words */ + + if (equal_strings (words[0], "format")) { + if (nwords != 3) + return (NULL); + if (equal_strings (words[1], "ascii")) + plyfile->file_type = PLY_ASCII; + else if (equal_strings (words[1], "binary_big_endian")) + plyfile->file_type = PLY_BINARY_BE; + else if (equal_strings (words[1], "binary_little_endian")) + plyfile->file_type = PLY_BINARY_LE; + else + return (NULL); + plyfile->version = atof (words[2]); + found_format = 1; + } + else if (equal_strings (words[0], "element")) + add_element (plyfile, words, nwords); + else if (equal_strings (words[0], "property")) + add_property (plyfile, words, nwords); + else if (equal_strings (words[0], "comment")) + add_comment (plyfile, orig_line); + else if (equal_strings (words[0], "obj_info")) + add_obj_info (plyfile, orig_line); + else if (equal_strings (words[0], "end_header")) + break; + + /* free up words space */ + free (words); + + words = get_words (plyfile->fp, &nwords, &orig_line); + } + + /* create tags for each property of each element, to be used */ + /* later to say whether or not to store each property for the user */ + + for (i = 0; i < plyfile->num_elem_types; i++) { + elem = plyfile->elems[i]; + elem->store_prop = (char *) myalloc (sizeof (char) * elem->nprops); + for (j = 0; j < elem->nprops; j++) + elem->store_prop[j] = DONT_STORE_PROP; + elem->other_offset = NO_OTHER_PROPS; /* no "other" props by default */ + } + + /* set return values about the elements */ + + elist = (char **) myalloc (sizeof (char *) * plyfile->num_elem_types); + for (i = 0; i < plyfile->num_elem_types; i++) + elist[i] = strdup (plyfile->elems[i]->name); + + *elem_names = elist; + *nelems = plyfile->num_elem_types; + + /* return a pointer to the file's information */ + + return (plyfile); +} + + +/****************************************************************************** +Open a polygon file for reading. + +Entry: + filename - name of file to read from + +Exit: + nelems - number of elements in object + elem_names - list of element names + file_type - file type, either ascii or binary + version - version number of PLY file + returns a file identifier, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *ply_open_for_reading( + char *filename, + int *nelems, + char ***elem_names, + int *file_type, + float *version +) +{ + FILE *fp; + PlyFile *plyfile; + char *name; + + /* tack on the extension .ply, if necessary */ + + name = (char *) myalloc (sizeof (char) * (strlen (filename) + 5)); + strcpy (name, filename); + if (strlen (name) < 4 || + strcmp (name + strlen (name) - 4, ".ply") != 0) + strcat (name, ".ply"); + + /* open the file for reading */ + + fp = fopen (name, "r"); + if (fp == NULL) + return (NULL); + + /* create the PlyFile data structure */ + + plyfile = ply_read (fp, nelems, elem_names); + + /* determine the file type and version */ + + *file_type = plyfile->file_type; + *version = plyfile->version; + + /* return a pointer to the file's information */ + + return (plyfile); +} + + +/****************************************************************************** +Get information about a particular element. + +Entry: + plyfile - file identifier + elem_name - name of element to get information about + +Exit: + nelems - number of elements of this type in the file + nprops - number of properties + returns a list of properties, or NULL if the file doesn't contain that elem +******************************************************************************/ + +PlyProperty **get_element_description_ply( + PlyFile *plyfile, + char *elem_name, + int *nelems, + int *nprops +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + PlyProperty **prop_list; + + /* find information about the element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) + return (NULL); + + *nelems = elem->num; + *nprops = elem->nprops; + + /* make a copy of the element's property list */ + prop_list = (PlyProperty **) myalloc (sizeof (PlyProperty *) * elem->nprops); + for (i = 0; i < elem->nprops; i++) { + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + copy_property (prop, elem->props[i]); + prop_list[i] = prop; + } + + /* return this duplicate property list */ + return (prop_list); +} + + +/****************************************************************************** +Specify which properties of an element are to be returned. This should be +called before a call to the routine get_element_ply(). + +Entry: + plyfile - file identifier + elem_name - which element we're talking about + nprops - number of properties + prop_list - list of properties +******************************************************************************/ + +void get_element_setup_ply( + PlyFile *plyfile, + char *elem_name, + int nprops, + PlyProperty *prop_list +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + int index; + + /* find information about the element */ + elem = find_element (plyfile, elem_name); + plyfile->which_elem = elem; + + /* deposit the property information into the element's description */ + for (i = 0; i < nprops; i++) { + + /* look for actual property */ + prop = find_property (elem, prop_list[i].name, &index); + if (prop == NULL) { + fprintf (stderr, "Warning: Can't find property '%s' in element '%s'\n", + prop_list[i].name, elem_name); + continue; + } + + /* store its description */ + prop->internal_type = prop_list[i].internal_type; + prop->offset = prop_list[i].offset; + prop->count_internal = prop_list[i].count_internal; + prop->count_offset = prop_list[i].count_offset; + + /* specify that the user wants this property */ + elem->store_prop[index] = STORE_PROP; + } +} + + +/****************************************************************************** +Specify a property of an element that is to be returned. This should be +called (usually multiple times) before a call to the routine ply_get_element(). +This routine should be used in preference to the less flexible old routine +called ply_get_element_setup(). + +Entry: + plyfile - file identifier + elem_name - which element we're talking about + prop - property to add to those that will be returned +******************************************************************************/ + +void ply_get_property( + PlyFile *plyfile, + char *elem_name, + PlyProperty *prop +) +{ + PlyElement *elem; + PlyProperty *prop_ptr; + int index; + + /* find information about the element */ + elem = find_element (plyfile, elem_name); + plyfile->which_elem = elem; + + /* deposit the property information into the element's description */ + + prop_ptr = find_property (elem, prop->name, &index); + if (prop_ptr == NULL) { + fprintf (stderr, "Warning: Can't find property '%s' in element '%s'\n", + prop->name, elem_name); + return; + } + prop_ptr->internal_type = prop->internal_type; + prop_ptr->offset = prop->offset; + prop_ptr->count_internal = prop->count_internal; + prop_ptr->count_offset = prop->count_offset; + + /* specify that the user wants this property */ + elem->store_prop[index] = STORE_PROP; +} + + +/****************************************************************************** +Read one element from the file. This routine assumes that we're reading +the type of element specified in the last call to the routine +ply_get_element_setup(). + +Entry: + plyfile - file identifier + elem_ptr - pointer to location where the element information should be put +******************************************************************************/ + +void ply_get_element(PlyFile *plyfile, void *elem_ptr) +{ + if (plyfile->file_type == PLY_ASCII) + ascii_get_element (plyfile, (char *) elem_ptr); + else + binary_get_element (plyfile, (char *) elem_ptr); +} + + +/****************************************************************************** +Extract the comments from the header information of a PLY file. + +Entry: + plyfile - file identifier + +Exit: + num_comments - number of comments returned + returns a pointer to a list of comments +******************************************************************************/ + +char **get_comments_ply(PlyFile *plyfile, int *num_comments) +{ + *num_comments = plyfile->num_comments; + return (plyfile->comments); +} + + +/****************************************************************************** +Extract the object information (arbitrary text) from the header information +of a PLY file. + +Entry: + plyfile - file identifier + +Exit: + num_obj_info - number of lines of text information returned + returns a pointer to a list of object info lines +******************************************************************************/ + +char **get_obj_info_ply(PlyFile *plyfile, int *num_obj_info) +{ + *num_obj_info = plyfile->num_obj_info; + return (plyfile->obj_info); +} + + +/****************************************************************************** +Make ready for "other" properties of an element-- those properties that +the user has not explicitly asked for, but that are to be stashed away +in a special structure to be carried along with the element's other +information. + +Entry: + plyfile - file identifier + elem - element for which we want to save away other properties +******************************************************************************/ + +void setup_other_props(PlyFile *plyfile, PlyElement *elem) +{ + int i; + PlyProperty *prop; + int size = 0; + int type_size; + + /* Examine each property in decreasing order of size. */ + /* We do this so that all data types will be aligned by */ + /* word, half-word, or whatever within the structure. */ + + for (type_size = 8; type_size > 0; type_size /= 2) { + + /* add up the space taken by each property, and save this information */ + /* away in the property descriptor */ + + for (i = 0; i < elem->nprops; i++) { + + /* don't bother with properties we've been asked to store explicitly */ + if (elem->store_prop[i]) + continue; + + prop = elem->props[i]; + + /* internal types will be same as external */ + prop->internal_type = prop->external_type; + prop->count_internal = prop->count_external; + + /* list case */ + if (prop->is_list == PLY_LIST) { + + /* pointer to list */ + if (type_size == sizeof (void *)) { + prop->offset = size; + size += sizeof (void *); /* always use size of a pointer here */ + } + + /* count of number of list elements */ + if (type_size == ply_type_size[prop->count_external]) { + prop->count_offset = size; + size += ply_type_size[prop->count_external]; + } + } + /* string */ + else if (prop->is_list == PLY_STRING) { + /* pointer to string */ + if (type_size == sizeof (char *)) { + prop->offset = size; + size += sizeof (char *); + } + } + /* scalar */ + else if (type_size == ply_type_size[prop->external_type]) { + prop->offset = size; + size += ply_type_size[prop->external_type]; + } + } + + } + + /* save the size for the other_props structure */ + elem->other_size = size; +} + + +/****************************************************************************** +Specify that we want the "other" properties of an element to be tucked +away within the user's structure. + +Entry: + plyfile - file identifier + elem - the element that we want to store other_props in + offset - offset to where other_props will be stored inside user's structure + +Exit: + returns pointer to structure containing description of other_props +******************************************************************************/ + +static PlyOtherProp *get_other_properties( + PlyFile *plyfile, + PlyElement *elem, + int offset +) +{ + int i; + PlyOtherProp *other; + PlyProperty *prop; + int nprops; + + /* remember that this is the "current" element */ + plyfile->which_elem = elem; + + /* save the offset to where to store the other_props */ + elem->other_offset = offset; + + /* place the appropriate pointers, etc. in the element's property list */ + setup_other_props (plyfile, elem); + + /* create structure for describing other_props */ + other = (PlyOtherProp *) myalloc (sizeof (PlyOtherProp)); + other->name = strdup (elem->name); +#if 0 + if (elem->other_offset == NO_OTHER_PROPS) { + other->size = 0; + other->props = NULL; + other->nprops = 0; + return (other); + } +#endif + other->size = elem->other_size; + other->props = (PlyProperty **) myalloc (sizeof(PlyProperty) * elem->nprops); + + /* save descriptions of each "other" property */ + nprops = 0; + for (i = 0; i < elem->nprops; i++) { + if (elem->store_prop[i]) + continue; + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + copy_property (prop, elem->props[i]); + other->props[nprops] = prop; + nprops++; + } + other->nprops = nprops; + + /* set other_offset pointer appropriately if there are NO other properties */ + if (other->nprops == 0) { + elem->other_offset = NO_OTHER_PROPS; + } + + /* return structure */ + return (other); +} + + +/****************************************************************************** +Specify that we want the "other" properties of an element to be tucked +away within the user's structure. The user needn't be concerned for how +these properties are stored. + +Entry: + plyfile - file identifier + elem_name - name of element that we want to store other_props in + offset - offset to where other_props will be stored inside user's structure + +Exit: + returns pointer to structure containing description of other_props +******************************************************************************/ + +PlyOtherProp *ply_get_other_properties( + PlyFile *plyfile, + char *elem_name, + int offset +) +{ + PlyElement *elem; + PlyOtherProp *other; + + /* find information about the element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf (stderr, "ply_get_other_properties: Can't find element '%s'\n", + elem_name); + return (NULL); + } + + other = get_other_properties (plyfile, elem, offset); + return (other); +} + + + + +/*************************/ +/* Other Element Stuff */ +/*************************/ + + + + + +/****************************************************************************** +Grab all the data for the current element that a user does not want to +explicitly read in. Stores this in the PLY object's data structure. + +Entry: + plyfile - pointer to file + +Exit: + returns pointer to ALL the "other" element data for this PLY file +******************************************************************************/ + +PlyOtherElems *get_other_element_ply (PlyFile *plyfile) +{ + int i; + PlyElement *elem; + char *elem_name; + int elem_count; + PlyOtherElems *other_elems; + OtherElem *other; + + elem = plyfile->which_elem; + elem_name = elem->name; + elem_count = elem->num; + + /* create room for the new "other" element, initializing the */ + /* other data structure if necessary */ + + if (plyfile->other_elems == NULL) { + plyfile->other_elems = (PlyOtherElems *) myalloc (sizeof (PlyOtherElems)); + other_elems = plyfile->other_elems; + other_elems->other_list = (OtherElem *) myalloc (sizeof (OtherElem)); + other = &(other_elems->other_list[0]); + other_elems->num_elems = 1; + } + else { + other_elems = plyfile->other_elems; + other_elems->other_list = (OtherElem *) realloc (other_elems->other_list, + sizeof (OtherElem) * other_elems->num_elems + 1); + other = &(other_elems->other_list[other_elems->num_elems]); + other_elems->num_elems++; + } + + /* count of element instances in file */ + other->elem_count = elem_count; + + /* save name of element */ + other->elem_name = strdup (elem_name); + + /* create a list to hold all the current elements */ + other->other_data = (OtherData **) + malloc (sizeof (OtherData *) * other->elem_count); + + /* set up for getting elements */ + other->other_props = ply_get_other_properties (plyfile, elem_name, + offsetof(OtherData,other_props)); + + /* grab all these elements */ + for (i = 0; i < other->elem_count; i++) { + /* grab and element from the file */ + other->other_data[i] = (OtherData *) malloc (sizeof (OtherData)); + ply_get_element (plyfile, (void *) other->other_data[i]); + } + + /* return pointer to the other elements data */ + return (other_elems); +} + + +/****************************************************************************** +Write out the "other" elements specified for this PLY file. + +Entry: + plyfile - pointer to PLY file to write out other elements for +******************************************************************************/ + +void put_other_elements_ply (PlyFile *plyfile) +{ + int i,j; + OtherElem *other; + + /* make sure we have other elements to write */ + if (plyfile->other_elems == NULL) + return; + + /* write out the data for each "other" element */ + + for (i = 0; i < plyfile->other_elems->num_elems; i++) { + + other = &(plyfile->other_elems->other_list[i]); + put_element_setup_ply (plyfile, other->elem_name); + + /* write out each instance of the current element */ + for (j = 0; j < other->elem_count; j++) + put_element_ply (plyfile, (void *) other->other_data[j]); + } +} + + +/****************************************************************************** +Free up storage used by an "other" elements data structure. + +Entry: + other_elems - data structure to free up +******************************************************************************/ + +void free_other_elements_ply (PlyOtherElems *other_elems) +{ + +} + + + +/*******************/ +/* Miscellaneous */ +/*******************/ + + + +/****************************************************************************** +Close a PLY file. + +Entry: + plyfile - identifier of file to close +******************************************************************************/ + +void ply_close(PlyFile *plyfile) +{ + fclose (plyfile->fp); + + /* free up memory associated with the PLY file */ + free (plyfile); +} + + +/****************************************************************************** +Get version number and file type of a PlyFile. + +Entry: + ply - pointer to PLY file + +Exit: + version - version of the file + file_type - PLY_ASCII, PLY_BINARY_BE, or PLY_BINARY_LE +******************************************************************************/ + +void get_info_ply(PlyFile *ply, float *version, int *file_type) +{ + if (ply == NULL) + return; + + *version = ply->version; + *file_type = ply->file_type; +} + + +/****************************************************************************** +Compare two strings. Returns 1 if they are the same, 0 if not. +******************************************************************************/ + +int equal_strings(char *s1, char *s2) +{ + int i; + + while (*s1 && *s2) + if (*s1++ != *s2++) + return (0); + + if (*s1 != *s2) + return (0); + else + return (1); +} + + +/****************************************************************************** +Re-create the command line that was used to invoke this program. + +Entry: + argc - number of words in argv + argv - array of words in command line +******************************************************************************/ + +char *recreate_command_line (int argc, char *argv[]) +{ + int i; + char *line; + int len = 0; + + /* count total number of characters needed, including separating spaces */ + for (i = 0; i < argc; i++) + len += strlen(argv[i]) + 1; + + /* create empty line */ + line = (char *) malloc (sizeof(char) * len); + line[0] = '\0'; + + /* repeatedly append argv */ + for (i = 0; i < argc; i++) { + strcat (line, argv[i]); + if (i != argc - 1) + strcat (line, " "); + } + + return (line); +} + + +/****************************************************************************** +Find an element from the element list of a given PLY object. + +Entry: + plyfile - file id for PLY file + element - name of element we're looking for + +Exit: + returns the element, or NULL if not found +******************************************************************************/ + +PlyElement *find_element(PlyFile *plyfile, char *element) +{ + int i; + + for (i = 0; i < plyfile->num_elem_types; i++) + if (equal_strings (element, plyfile->elems[i]->name)) + return (plyfile->elems[i]); + + return (NULL); +} + + +/****************************************************************************** +Find a property in the list of properties of a given element. + +Entry: + elem - pointer to element in which we want to find the property + prop_name - name of property to find + +Exit: + index - index to position in list + returns a pointer to the property, or NULL if not found +******************************************************************************/ + +PlyProperty *find_property(PlyElement *elem, char *prop_name, int *index) +{ + int i; + + for (i = 0; i < elem->nprops; i++) + if (equal_strings (prop_name, elem->props[i]->name)) { + *index = i; + return (elem->props[i]); + } + + *index = -1; + return (NULL); +} + + +/****************************************************************************** +Read an element from an ascii file. + +Entry: + plyfile - file identifier + elem_ptr - pointer to element +******************************************************************************/ + +void ascii_get_element(PlyFile *plyfile, char *elem_ptr) +{ + int i,j,k; + PlyElement *elem; + PlyProperty *prop; + char **words; + int nwords; + int which_word; + FILE *fp = plyfile->fp; + char *elem_data,*item; + char *item_ptr; + int item_size; + int int_val; + unsigned int uint_val; + double double_val; + int list_count; + int store_it; + char **store_array; + char *orig_line; + char *other_data; + int other_flag; + + /* the kind of element we're reading currently */ + elem = plyfile->which_elem; + + /* do we need to setup for other_props? */ + + if (elem->other_offset != NO_OTHER_PROPS) { + char **ptr; + other_flag = 1; + /* make room for other_props */ + other_data = (char *) myalloc (elem->other_size); + /* store pointer in user's structure to the other_props */ + ptr = (char **) (elem_ptr + elem->other_offset); + *ptr = other_data; + } + else + other_flag = 0; + + /* read in the element */ + + words = get_words (plyfile->fp, &nwords, &orig_line); + if (words == NULL) { + fprintf (stderr, "ply_get_element: unexpected end of file\n"); + exit (-1); + } + + which_word = 0; + + for (j = 0; j < elem->nprops; j++) { + + prop = elem->props[j]; + store_it = (elem->store_prop[j] | other_flag); + + /* store either in the user's structure or in other_props */ + if (elem->store_prop[j]) + elem_data = elem_ptr; + else + elem_data = other_data; + + if (prop->is_list == PLY_LIST) { /* a list */ + + /* get and store the number of items in the list */ + get_ascii_item (words[which_word++], prop->count_external, + &int_val, &uint_val, &double_val); + if (store_it) { + item = elem_data + prop->count_offset; + store_item(item, prop->count_internal, int_val, uint_val, double_val); + } + + /* allocate space for an array of items and store a ptr to the array */ + list_count = int_val; + item_size = ply_type_size[prop->internal_type]; + store_array = (char **) (elem_data + prop->offset); + + if (list_count == 0) { + if (store_it) + *store_array = NULL; + } + else { + if (store_it) { + item_ptr = (char *) myalloc (sizeof (char) * item_size * list_count); + item = item_ptr; + *store_array = item_ptr; + } + + /* read items and store them into the array */ + for (k = 0; k < list_count; k++) { + get_ascii_item (words[which_word++], prop->external_type, + &int_val, &uint_val, &double_val); + if (store_it) { + store_item (item, prop->internal_type, + int_val, uint_val, double_val); + item += item_size; + } + } + } + + } + else if (prop->is_list == PLY_STRING) { /* a string */ + if (store_it) { + char *str; + char **str_ptr; + str = strdup (words[which_word++]); + item = elem_data + prop->offset; + str_ptr = (char **) item; + *str_ptr = str; + } + else { + which_word++; + } + } + else { /* a scalar */ + get_ascii_item (words[which_word++], prop->external_type, + &int_val, &uint_val, &double_val); + if (store_it) { + item = elem_data + prop->offset; + store_item (item, prop->internal_type, int_val, uint_val, double_val); + } + } + + } + + free (words); +} + + +/****************************************************************************** +Read an element from a binary file. + +Entry: + plyfile - file identifier + elem_ptr - pointer to an element +******************************************************************************/ + +void binary_get_element(PlyFile *plyfile, char *elem_ptr) +{ + int i,j,k; + PlyElement *elem; + PlyProperty *prop; + FILE *fp = plyfile->fp; + char *elem_data; + char *item; + char *item_ptr; + int item_size; + int int_val; + unsigned int uint_val; + double double_val; + int list_count; + int store_it; + char **store_array; + char *other_data; + int other_flag; + + /* the kind of element we're reading currently */ + elem = plyfile->which_elem; + + /* do we need to setup for other_props? */ + + if (elem->other_offset != NO_OTHER_PROPS) { + char **ptr; + other_flag = 1; + /* make room for other_props */ + other_data = (char *) myalloc (elem->other_size); + /* store pointer in user's structure to the other_props */ + ptr = (char **) (elem_ptr + elem->other_offset); + *ptr = other_data; + } + else + other_flag = 0; + + /* read in a number of elements */ + + for (j = 0; j < elem->nprops; j++) { + + prop = elem->props[j]; + store_it = (elem->store_prop[j] | other_flag); + + /* store either in the user's structure or in other_props */ + if (elem->store_prop[j]) + elem_data = elem_ptr; + else + elem_data = other_data; + + if (prop->is_list == PLY_LIST) { /* list */ + + /* get and store the number of items in the list */ + get_binary_item (fp, prop->count_external, + &int_val, &uint_val, &double_val); + if (store_it) { + item = elem_data + prop->count_offset; + store_item(item, prop->count_internal, int_val, uint_val, double_val); + } + + /* allocate space for an array of items and store a ptr to the array */ + list_count = int_val; + item_size = ply_type_size[prop->internal_type]; + store_array = (char **) (elem_data + prop->offset); + if (list_count == 0) { + if (store_it) + *store_array = NULL; + } + else { + if (store_it) { + item_ptr = (char *) myalloc (sizeof (char) * item_size * list_count); + item = item_ptr; + *store_array = item_ptr; + } + + /* read items and store them into the array */ + for (k = 0; k < list_count; k++) { + get_binary_item (fp, prop->external_type, + &int_val, &uint_val, &double_val); + if (store_it) { + store_item (item, prop->internal_type, + int_val, uint_val, double_val); + item += item_size; + } + } + } + + } + else if (prop->is_list == PLY_STRING) { /* string */ + int len; + char *str; + fread (&len, sizeof(int), 1, fp); + str = (char *) myalloc (len); + fread (str, len, 1, fp); + if (store_it) { + char **str_ptr; + item = elem_data + prop->offset; + str_ptr = (char **) item; + *str_ptr = str; + } + } + else { /* scalar */ + get_binary_item (fp, prop->external_type, + &int_val, &uint_val, &double_val); + if (store_it) { + item = elem_data + prop->offset; + store_item (item, prop->internal_type, int_val, uint_val, double_val); + } + } + + } +} + + +/****************************************************************************** +Write to a file the word that represents a PLY data type. + +Entry: + fp - file pointer + code - code for type +******************************************************************************/ + +void write_scalar_type (FILE *fp, int code) +{ + /* make sure this is a valid code */ + + if (code <= StartType || code >= EndType) { + fprintf (stderr, "write_scalar_type: bad data code = %d\n", code); + exit (-1); + } + + /* write the code to a file */ + + fprintf (fp, "%s", type_names[code]); +} + + +/****************************************************************************** +Get a text line from a file and break it up into words. + +IMPORTANT: The calling routine should call "free" on the returned pointer once +finished with it. + +Entry: + fp - file to read from + +Exit: + nwords - number of words returned + orig_line - the original line of characters + returns a list of words from the line, or NULL if end-of-file +******************************************************************************/ + +char **get_words(FILE *fp, int *nwords, char **orig_line) +{ +#define BIG_STRING 4096 + int i,j; + static char str[BIG_STRING]; + static char str_copy[BIG_STRING]; + char **words; + int max_words = 10; + int num_words = 0; + char *ptr,*ptr2; + char *result; + + words = (char **) myalloc (sizeof (char *) * max_words); + + /* read in a line */ + result = fgets (str, BIG_STRING, fp); + if (result == NULL) { + *nwords = 0; + *orig_line = NULL; + return (NULL); + } + + /* convert line-feed and tabs into spaces */ + /* (this guarentees that there will be a space before the */ + /* null character at the end of the string) */ + + str[BIG_STRING-2] = ' '; + str[BIG_STRING-1] = '\0'; + + for (ptr = str, ptr2 = str_copy; *ptr != '\0'; ptr++, ptr2++) { + *ptr2 = *ptr; + if (*ptr == '\t') { + *ptr = ' '; + *ptr2 = ' '; + } + else if (*ptr == '\n') { + *ptr = ' '; + *ptr2 = '\0'; + break; + } + } + + /* find the words in the line */ + + ptr = str; + while (*ptr != '\0') { + + /* jump over leading spaces */ + while (*ptr == ' ') + ptr++; + + /* break if we reach the end */ + if (*ptr == '\0') + break; + + /* allocate more room for words if necessary */ + if (num_words >= max_words) { + max_words += 10; + words = (char **) realloc (words, sizeof (char *) * max_words); + } + + if (*ptr == '\"') { /* a quote indidicates that we have a string */ + + /* skip over leading quote */ + ptr++; + + /* save pointer to beginning of word */ + words[num_words++] = ptr; + + /* find trailing quote or end of line */ + while (*ptr != '\"' && *ptr != '\0') + ptr++; + + /* replace quote with a null character to mark the end of the word */ + /* if we are not already at the end of the line */ + if (*ptr != '\0') + *ptr++ = '\0'; + } + else { /* non-string */ + + /* save pointer to beginning of word */ + words[num_words++] = ptr; + + /* jump over non-spaces */ + while (*ptr != ' ') + ptr++; + + /* place a null character here to mark the end of the word */ + *ptr++ = '\0'; + } + } + + /* return the list of words */ + *nwords = num_words; + *orig_line = str_copy; + return (words); +} + + +/****************************************************************************** +Return the value of an item, given a pointer to it and its type. + +Entry: + item - pointer to item + type - data type that "item" points to + +Exit: + returns a double-precision float that contains the value of the item +******************************************************************************/ + +double get_item_value(char *item, int type) +{ + unsigned char *puchar; + char *pchar; + short int *pshort; + unsigned short int *pushort; + int *pint; + unsigned int *puint; + float *pfloat; + double *pdouble; + int int_value; + unsigned int uint_value; + double double_value; + + switch (type) { + case Int8: + pchar = (char *) item; + int_value = *pchar; + return ((double) int_value); + case Uint8: + puchar = (unsigned char *) item; + int_value = *puchar; + return ((double) int_value); + case Int16: + pshort = (short int *) item; + int_value = *pshort; + return ((double) int_value); + case Uint16: + pushort = (unsigned short int *) item; + int_value = *pushort; + return ((double) int_value); + case Int32: + pint = (int *) item; + int_value = *pint; + return ((double) int_value); + case Uint32: + puint = (unsigned int *) item; + uint_value = *puint; + return ((double) uint_value); + case Float32: + pfloat = (float *) item; + double_value = *pfloat; + return (double_value); + case Float64: + pdouble = (double *) item; + double_value = *pdouble; + return (double_value); + default: + fprintf (stderr, "get_item_value: bad type = %d\n", type); + exit (-1); + } + + return (0.0); /* never actually gets here */ +} + + +/****************************************************************************** +Write out an item to a file as raw binary bytes. + +Entry: + fp - file to write to + int_val - integer version of item + uint_val - unsigned integer version of item + double_val - double-precision float version of item + type - data type to write out +******************************************************************************/ + +void write_binary_item( + FILE *fp, + int int_val, + unsigned int uint_val, + double double_val, + int type +) +{ + unsigned char uchar_val; + char char_val; + unsigned short ushort_val; + short short_val; + float float_val; + + switch (type) { + case Int8: + char_val = int_val; + fwrite (&char_val, 1, 1, fp); + break; + case Int16: + short_val = int_val; + fwrite (&short_val, 2, 1, fp); + break; + case Int32: + fwrite (&int_val, 4, 1, fp); + break; + case Uint8: + uchar_val = uint_val; + fwrite (&uchar_val, 1, 1, fp); + break; + case Uint16: + ushort_val = uint_val; + fwrite (&ushort_val, 2, 1, fp); + break; + case Uint32: + fwrite (&uint_val, 4, 1, fp); + break; + case Float32: + float_val = double_val; + fwrite (&float_val, 4, 1, fp); + break; + case Float64: + fwrite (&double_val, 8, 1, fp); + break; + default: + fprintf (stderr, "write_binary_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Write out an item to a file as ascii characters. + +Entry: + fp - file to write to + int_val - integer version of item + uint_val - unsigned integer version of item + double_val - double-precision float version of item + type - data type to write out +******************************************************************************/ + +void write_ascii_item( + FILE *fp, + int int_val, + unsigned int uint_val, + double double_val, + int type +) +{ + switch (type) { + case Int8: + case Int16: + case Int32: + fprintf (fp, "%d ", int_val); + break; + case Uint8: + case Uint16: + case Uint32: + fprintf (fp, "%u ", uint_val); + break; + case Float32: + case Float64: + fprintf (fp, "%g ", double_val); + break; + default: + fprintf (stderr, "write_ascii_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Get the value of an item that is in memory, and place the result +into an integer, an unsigned integer and a double. + +Entry: + ptr - pointer to the item + type - data type supposedly in the item + +Exit: + int_val - integer value + uint_val - unsigned integer value + double_val - double-precision floating point value +******************************************************************************/ + +void get_stored_item( + void *ptr, + int type, + int *int_val, + unsigned int *uint_val, + double *double_val +) +{ + switch (type) { + case Int8: + *int_val = *((char *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case Uint8: + *uint_val = *((unsigned char *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case Int16: + *int_val = *((short int *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case Uint16: + *uint_val = *((unsigned short int *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case Int32: + *int_val = *((int *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case Uint32: + *uint_val = *((unsigned int *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case Float32: + *double_val = *((float *) ptr); + *int_val = *double_val; + *uint_val = *double_val; + break; + case Float64: + *double_val = *((double *) ptr); + *int_val = *double_val; + *uint_val = *double_val; + break; + default: + fprintf (stderr, "get_stored_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Get the value of an item from a binary file, and place the result +into an integer, an unsigned integer and a double. + +Entry: + fp - file to get item from + type - data type supposedly in the word + +Exit: + int_val - integer value + uint_val - unsigned integer value + double_val - double-precision floating point value +******************************************************************************/ + +void get_binary_item( + FILE *fp, + int type, + int *int_val, + unsigned int *uint_val, + double *double_val +) +{ + char c[8]; + void *ptr; + + ptr = (void *) c; + + switch (type) { + case Int8: + fread (ptr, 1, 1, fp); + *int_val = *((char *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case Uint8: + fread (ptr, 1, 1, fp); + *uint_val = *((unsigned char *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case Int16: + fread (ptr, 2, 1, fp); + *int_val = *((short int *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case Uint16: + fread (ptr, 2, 1, fp); + *uint_val = *((unsigned short int *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case Int32: + fread (ptr, 4, 1, fp); + *int_val = *((int *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case Uint32: + fread (ptr, 4, 1, fp); + *uint_val = *((unsigned int *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case Float32: + fread (ptr, 4, 1, fp); + *double_val = *((float *) ptr); + *int_val = *double_val; + *uint_val = *double_val; + break; + case Float64: + fread (ptr, 8, 1, fp); + *double_val = *((double *) ptr); + *int_val = *double_val; + *uint_val = *double_val; + break; + default: + fprintf (stderr, "get_binary_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Extract the value of an item from an ascii word, and place the result +into an integer, an unsigned integer and a double. + +Entry: + word - word to extract value from + type - data type supposedly in the word + +Exit: + int_val - integer value + uint_val - unsigned integer value + double_val - double-precision floating point value +******************************************************************************/ + +void get_ascii_item( + char *word, + int type, + int *int_val, + unsigned int *uint_val, + double *double_val +) +{ + switch (type) { + case Int8: + case Uint8: + case Int16: + case Uint16: + case Int32: + *int_val = atoi (word); + *uint_val = *int_val; + *double_val = *int_val; + break; + + case Uint32: + *uint_val = strtoul (word, (char **) NULL, 10); + *int_val = *uint_val; + *double_val = *uint_val; + break; + + case Float32: + case Float64: + *double_val = atof (word); + *int_val = (int) *double_val; + *uint_val = (unsigned int) *double_val; + break; + + default: + fprintf (stderr, "get_ascii_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Store a value into a place being pointed to, guided by a data type. + +Entry: + item - place to store value + type - data type + int_val - integer version of value + uint_val - unsigned integer version of value + double_val - double version of value + +Exit: + item - pointer to stored value +******************************************************************************/ + +void store_item ( + char *item, + int type, + int int_val, + unsigned int uint_val, + double double_val +) +{ + unsigned char *puchar; + short int *pshort; + unsigned short int *pushort; + int *pint; + unsigned int *puint; + float *pfloat; + double *pdouble; + + switch (type) { + case Int8: + *item = int_val; + break; + case Uint8: + puchar = (unsigned char *) item; + *puchar = uint_val; + break; + case Int16: + pshort = (short *) item; + *pshort = int_val; + break; + case Uint16: + pushort = (unsigned short *) item; + *pushort = uint_val; + break; + case Int32: + pint = (int *) item; + *pint = int_val; + break; + case Uint32: + puint = (unsigned int *) item; + *puint = uint_val; + break; + case Float32: + pfloat = (float *) item; + *pfloat = double_val; + break; + case Float64: + pdouble = (double *) item; + *pdouble = double_val; + break; + default: + fprintf (stderr, "store_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Add an element to a PLY file descriptor. + +Entry: + plyfile - PLY file descriptor + words - list of words describing the element + nwords - number of words in the list +******************************************************************************/ + +void add_element (PlyFile *plyfile, char **words, int nwords) +{ + PlyElement *elem; + + /* create the new element */ + elem = (PlyElement *) myalloc (sizeof (PlyElement)); + elem->name = strdup (words[1]); + elem->num = atoi (words[2]); + elem->nprops = 0; + + /* make room for new element in the object's list of elements */ + if (plyfile->num_elem_types == 0) + plyfile->elems = (PlyElement **) myalloc (sizeof (PlyElement *)); + else + plyfile->elems = (PlyElement **) realloc (plyfile->elems, + sizeof (PlyElement *) * (plyfile->num_elem_types + 1)); + + /* add the new element to the object's list */ + plyfile->elems[plyfile->num_elem_types] = elem; + plyfile->num_elem_types++; +} + + +/****************************************************************************** +Return the type of a property, given the name of the property. + +Entry: + name - name of property type + +Exit: + returns integer code for property, or 0 if not found +******************************************************************************/ + +int get_prop_type(char *type_name) +{ + int i; + + /* try to match the type name */ + for (i = StartType + 1; i < EndType; i++) + if (equal_strings (type_name, type_names[i])) + return (i); + + /* see if we can match an old type name */ + for (i = StartType + 1; i < EndType; i++) + if (equal_strings (type_name, old_type_names[i])) + return (i); + + /* if we get here, we didn't find the type */ + return (0); +} + + +/****************************************************************************** +Add a property to a PLY file descriptor. + +Entry: + plyfile - PLY file descriptor + words - list of words describing the property + nwords - number of words in the list +******************************************************************************/ + +void add_property (PlyFile *plyfile, char **words, int nwords) +{ + int prop_type; + int count_type; + PlyProperty *prop; + PlyElement *elem; + + /* create the new property */ + + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + + if (equal_strings (words[1], "list")) { /* list */ + prop->count_external = get_prop_type (words[2]); + prop->external_type = get_prop_type (words[3]); + prop->name = strdup (words[4]); + prop->is_list = PLY_LIST; + } + else if (equal_strings (words[1], "string")) { /* string */ + prop->count_external = Int8; + prop->external_type = Int8; + prop->name = strdup (words[2]); + prop->is_list = PLY_STRING; + } + else { /* scalar */ + prop->external_type = get_prop_type (words[1]); + prop->name = strdup (words[2]); + prop->is_list = PLY_SCALAR; + } + + /* add this property to the list of properties of the current element */ + + elem = plyfile->elems[plyfile->num_elem_types - 1]; + + if (elem->nprops == 0) + elem->props = (PlyProperty **) myalloc (sizeof (PlyProperty *)); + else + elem->props = (PlyProperty **) realloc (elem->props, + sizeof (PlyProperty *) * (elem->nprops + 1)); + + elem->props[elem->nprops] = prop; + elem->nprops++; +} + + +/****************************************************************************** +Add a comment to a PLY file descriptor. + +Entry: + plyfile - PLY file descriptor + line - line containing comment +******************************************************************************/ + +void add_comment (PlyFile *plyfile, char *line) +{ + int i; + + /* skip over "comment" and leading spaces and tabs */ + i = 7; + while (line[i] == ' ' || line[i] == '\t') + i++; + + append_comment_ply (plyfile, &line[i]); +} + + +/****************************************************************************** +Add a some object information to a PLY file descriptor. + +Entry: + plyfile - PLY file descriptor + line - line containing text info +******************************************************************************/ + +void add_obj_info (PlyFile *plyfile, char *line) +{ + int i; + + /* skip over "obj_info" and leading spaces and tabs */ + i = 8; + while (line[i] == ' ' || line[i] == '\t') + i++; + + append_obj_info_ply (plyfile, &line[i]); +} + + +/****************************************************************************** +Copy a property. +******************************************************************************/ + +void copy_property(PlyProperty *dest, PlyProperty *src) +{ + dest->name = strdup (src->name); + dest->external_type = src->external_type; + dest->internal_type = src->internal_type; + dest->offset = src->offset; + + dest->is_list = src->is_list; + dest->count_external = src->count_external; + dest->count_internal = src->count_internal; + dest->count_offset = src->count_offset; +} + + +/****************************************************************************** +Allocate some memory. + +Entry: + size - amount of memory requested (in bytes) + lnum - line number from which memory was requested + fname - file name from which memory was requested +******************************************************************************/ + +static char *my_alloc(int size, int lnum, char *fname) +{ + char *ptr; + + ptr = (char *) malloc (size); + + if (ptr == 0) { + fprintf(stderr, "Memory allocation bombed on line %d in %s\n", lnum, fname); + } + + return (ptr); +} + + +/**** NEW STUFF ****/ +/**** NEW STUFF ****/ +/**** NEW STUFF ****/ +/**** NEW STUFF ****/ + + + +/****************************************************************************** +Given a file pointer, get ready to read PLY data from the file. + +Entry: + fp - the given file pointer + +Exit: + nelems - number of elements in object + elem_names - list of element names + returns a pointer to a PlyFile, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *read_ply(FILE *fp) +{ + PlyFile *ply; + int num_elems; + char **elem_names; + + ply = ply_read (fp, &num_elems, &elem_names); + + return (ply); +} + + +/****************************************************************************** +Given a file pointer, get ready to write PLY data to the file. + +Entry: + fp - the given file pointer + nelems - number of elements in object + elem_names - list of element names + file_type - file type, either ascii or binary + +Exit: + returns a pointer to a PlyFile, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *write_ply( + FILE *fp, + int nelems, + char **elem_names, + int file_type +) +{ + PlyFile *ply; + + ply = ply_write (fp, nelems, elem_names, file_type); + + return (ply); +} + + +/****************************************************************************** +Return a list of the names of the elements in a particular PLY file. + +Entry: + ply - PLY file whose element name list we want + +Exit: + num_elems - the number of element names in the list + returns the list of names +******************************************************************************/ + +char **get_element_list_ply(PlyFile *ply, int *num_elems) +{ + int i; + char **elist; + + /* create the list of element names */ + + elist = (char **) myalloc (sizeof (char *) * ply->num_elem_types); + for (i = 0; i < ply->num_elem_types; i++) + elist[i] = strdup (ply->elems[i]->name); + + /* return the number of elements and the list of element names */ + *num_elems = ply->num_elem_types; + return (elist); +} + + +/****************************************************************************** +Append a comment to a PLY file. + +Entry: + ply - file to append comment to + comment - the comment to append +******************************************************************************/ + +void append_comment_ply(PlyFile *ply, char *comment) +{ + /* (re)allocate space for new comment */ + if (ply->num_comments == 0) + ply->comments = (char **) myalloc (sizeof (char *)); + else + ply->comments = (char **) realloc (ply->comments, + sizeof (char *) * (ply->num_comments + 1)); + + /* add comment to list */ + ply->comments[ply->num_comments] = strdup (comment); + ply->num_comments++; +} + + +/****************************************************************************** +Copy the comments from one PLY file to another. + +Entry: + out_ply - destination file to copy comments to + in_ply - the source of the comments +******************************************************************************/ + +void copy_comments_ply(PlyFile *out_ply, PlyFile *in_ply) +{ + int i; + + for (i = 0; i < in_ply->num_comments; i++) + append_comment_ply (out_ply, in_ply->comments[i]); +} + + +/****************************************************************************** +Append object information (arbitrary text) to a PLY file. + +Entry: + ply - file to append object info to + obj_info - the object info to append +******************************************************************************/ + +void append_obj_info_ply(PlyFile *ply, char *obj_info) +{ + /* (re)allocate space for new info */ + if (ply->num_obj_info == 0) + ply->obj_info = (char **) myalloc (sizeof (char *)); + else + ply->obj_info = (char **) realloc (ply->obj_info, + sizeof (char *) * (ply->num_obj_info + 1)); + + /* add info to list */ + ply->obj_info[ply->num_obj_info] = strdup (obj_info); + ply->num_obj_info++; +} + + +/****************************************************************************** +Copy the object information from one PLY file to another. + +Entry: + out_ply - destination file to copy object information to + in_ply - the source of the object information +******************************************************************************/ + +void copy_obj_info_ply(PlyFile *out_ply, PlyFile *in_ply) +{ + int i; + + for (i = 0; i < in_ply->num_obj_info; i++) + append_obj_info_ply (out_ply, in_ply->obj_info[i]); +} + + +/****************************************************************************** +Close a PLY file. + +Entry: + plyfile - identifier of file to close +******************************************************************************/ + +void close_ply(PlyFile *plyfile) +{ + fclose (plyfile->fp); +} + + +/****************************************************************************** +Free the memory used by a PLY file. + +Entry: + plyfile - identifier of file +******************************************************************************/ + +void free_ply(PlyFile *plyfile) +{ + /* free up memory associated with the PLY file */ + free (plyfile); +} + + +/****************************************************************************** +Specify the index of the next element to be read in from a PLY file. + +Entry: + ply - file to read from + index - index of the element to be read + +Exit: + elem_count - the number of elements in the file + returns pointer to the name of this next element +******************************************************************************/ + +char *setup_element_read_ply (PlyFile *ply, int index, int *elem_count) +{ + PlyElement *elem; + + if (index < 0 || index > ply->num_elem_types) { + fprintf (stderr, "Warning: No element with index %d\n", index); + return (0); + } + + elem = ply->elems[index]; + + /* set this to be the current element */ + ply->which_elem = elem; + + /* return the number of such elements in the file and the element's name */ + *elem_count = elem->num; + return (elem->name); +} + + +/****************************************************************************** +Read one element from the file. This routine assumes that we're reading +the type of element specified in the last call to the routine +setup_element_read_ply(). + +Entry: + plyfile - file identifier + elem_ptr - pointer to location where the element information should be put +******************************************************************************/ + +void get_element_ply (PlyFile *plyfile, void *elem_ptr) +{ + if (plyfile->file_type == PLY_ASCII) + ascii_get_element (plyfile, (char *) elem_ptr); + else + binary_get_element (plyfile, (char *) elem_ptr); +} + + +/****************************************************************************** +Specify one of several properties of the current element that is to be +read from a file. This should be called (usually multiple times) before a +call to the routine get_element_ply(). + +Entry: + plyfile - file identifier + prop - property to add to those that will be returned +******************************************************************************/ + +void setup_property_ply( + PlyFile *plyfile, + PlyProperty *prop +) +{ + PlyElement *elem; + PlyProperty *prop_ptr; + int index; + + elem = plyfile->which_elem; + + /* deposit the property information into the element's description */ + + prop_ptr = find_property (elem, prop->name, &index); + if (prop_ptr == NULL) { + fprintf (stderr, "Warning: Can't find property '%s' in element '%s'\n", + prop->name, elem->name); + return; + } + prop_ptr->internal_type = prop->internal_type; + prop_ptr->offset = prop->offset; + prop_ptr->count_internal = prop->count_internal; + prop_ptr->count_offset = prop->count_offset; + + /* specify that the user wants this property */ + elem->store_prop[index] = STORE_PROP; +} + + +/****************************************************************************** +Specify that we want the "other" properties of the current element to be tucked +away within the user's structure. + +Entry: + plyfile - file identifier + offset - offset to where other_props will be stored inside user's structure + +Exit: + returns pointer to structure containing description of other_props +******************************************************************************/ + +PlyOtherProp *get_other_properties_ply( + PlyFile *plyfile, + int offset +) +{ + PlyOtherProp *other; + + other = get_other_properties (plyfile, plyfile->which_elem, offset); + return (other); +} + + +/****************************************************************************** +Describe which element is to be written next and state how many of them will +be written. + +Entry: + plyfile - file identifier + elem_name - name of element that information is being described + nelems - number of elements of this type to be written +******************************************************************************/ + +void describe_element_ply( + PlyFile *plyfile, + char *elem_name, + int nelems +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + + /* look for appropriate element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf(stderr,"describe_element_ply: can't find element '%s'\n",elem_name); + exit (-1); + } + + elem->num = nelems; + + /* now this element is the current element */ + plyfile->which_elem = elem; +} + + +/****************************************************************************** +Describe a property of an element. + +Entry: + plyfile - file identifier + prop - the new property +******************************************************************************/ + +void describe_property_ply( + PlyFile *plyfile, + PlyProperty *prop +) +{ + PlyElement *elem; + PlyProperty *elem_prop; + + elem = plyfile->which_elem; + + /* create room for new property */ + + if (elem->nprops == 0) { + elem->props = (PlyProperty **) myalloc (sizeof (PlyProperty *)); + elem->store_prop = (char *) myalloc (sizeof (char)); + elem->nprops = 1; + } + else { + elem->nprops++; + elem->props = (PlyProperty **) + realloc (elem->props, sizeof (PlyProperty *) * elem->nprops); + elem->store_prop = (char *) + realloc (elem->store_prop, sizeof (char) * elem->nprops); + } + + /* copy the new property */ + + elem_prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + elem->props[elem->nprops - 1] = elem_prop; + elem->store_prop[elem->nprops - 1] = NAMED_PROP; + copy_property (elem_prop, prop); +} + + +/****************************************************************************** +Describe what the "other" properties are that are to be stored, and where +they are in an element. +******************************************************************************/ + +void describe_other_properties_ply( + PlyFile *plyfile, + PlyOtherProp *other, + int offset +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + + /* look for appropriate element */ + elem = find_element (plyfile, other->name); + if (elem == NULL) { + fprintf(stderr, "describe_other_properties_ply: can't find element '%s'\n", + other->name); + return; + } + + /* create room for other properties */ + + if (elem->nprops == 0) { + elem->props = (PlyProperty **) + myalloc (sizeof (PlyProperty *) * other->nprops); + elem->store_prop = (char *) myalloc (sizeof (char) * other->nprops); + elem->nprops = 0; + } + else { + int newsize; + newsize = elem->nprops + other->nprops; + elem->props = (PlyProperty **) + realloc (elem->props, sizeof (PlyProperty *) * newsize); + elem->store_prop = (char *) + realloc (elem->store_prop, sizeof (char) * newsize); + } + + /* copy the other properties */ + + for (i = 0; i < other->nprops; i++) { + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + copy_property (prop, other->props[i]); + elem->props[elem->nprops] = prop; + elem->store_prop[elem->nprops] = OTHER_PROP; + elem->nprops++; + } + + /* save other info about other properties */ + elem->other_size = other->size; + elem->other_offset = offset; +} + + +/****************************************************************************** +Pass along a pointer to "other" elements that we want to save in a given +PLY file. These other elements were presumably read from another PLY file. + +Entry: + plyfile - file pointer in which to store this other element info + other_elems - info about other elements that we want to store +******************************************************************************/ + +void describe_other_elements_ply ( + PlyFile *plyfile, + PlyOtherElems *other_elems +) +{ + int i; + OtherElem *other; + + /* ignore this call if there is no other element */ + if (other_elems == NULL) + return; + + /* save pointer to this information */ + plyfile->other_elems = other_elems; + + /* describe the other properties of this element */ + + for (i = 0; i < other_elems->num_elems; i++) { + other = &(other_elems->other_list[i]); + element_count_ply (plyfile, other->elem_name, other->elem_count); + describe_other_properties_ply (plyfile, other->other_props, + offsetof(OtherData,other_props)); + } +} + + + +/**** Property Propagation Rules ****/ + + +typedef struct RuleName { + int code; + char *name; +} RuleName; + +RuleName rule_name_list[] = { + AVERAGE_RULE, "avg", + RANDOM_RULE, "rnd", + MINIMUM_RULE, "max", + MAXIMUM_RULE, "min", + MAJORITY_RULE, "major", + SAME_RULE, "same", + -1, "end_marker", +}; + + + +/****************************************************************************** +Initialize the property propagation rules for an element. Default is to +use averaging (AVERAGE_RULE) for creating all new properties. + +Entry: + ply - PLY object that this is for + elem_name - name of the element that we're making the rules for + +Exit: + returns pointer to the default rules +******************************************************************************/ + +PlyPropRules *init_rule_ply (PlyFile *ply, char *elem_name) +{ + int i,j; + PlyElement *elem; + PlyPropRules *rules; + PlyRuleList *list; + int found_prop; + + elem = find_element (ply, elem_name); + if (elem == NULL) { + fprintf (stderr, "init_rule_ply: Can't find element '%s'\n", elem_name); + exit (-1); + } + + rules = (PlyPropRules *) myalloc (sizeof (PlyPropRules)); + rules->elem = elem; + rules->rule_list = (int *) myalloc (sizeof(int) * elem->nprops); + rules->max_props = 0; + rules->nprops = 0; + + /* default is to use averaging rule */ + for (i = 0; i < elem->nprops; i++) + rules->rule_list[i] = AVERAGE_RULE; + + /* see if there are other rules we should use */ + + if (ply->rule_list == NULL) + return (rules); + + /* try to match the element, property and rule name */ + + for (list = ply->rule_list; list != NULL; list = list->next) { + + if (!equal_strings (list->element, elem->name)) + continue; + + found_prop = 0; + + for (i = 0; i < elem->nprops; i++) + if (equal_strings (list->property, elem->props[i]->name)) { + + found_prop = 1; + + /* look for matching rule name */ + for (j = 0; rule_name_list[j].code != -1; j++) + if (equal_strings (list->name, rule_name_list[j].name)) { + rules->rule_list[i] = rule_name_list[j].code; + break; + } + } + + if (!found_prop) { + fprintf (stderr, "Can't find property '%s' for rule '%s'\n", + list->property, list->name); + continue; + } + } + + return (rules); +} + + +/****************************************************************************** +Modify a property propagation rule. + +Entry: + rules - rules for the element + prop_name - name of the property whose rule we're modifying + rule_type - type of rule (MAXIMUM_RULE, MINIMUM_RULE, MAJORITY_RULE, etc.) +******************************************************************************/ + +void modify_rule_ply (PlyPropRules *rules, char *prop_name, int rule_type) +{ + int i; + PlyElement *elem = rules->elem; + + /* find the property and modify its rule type */ + + for (i = 0; i < elem->nprops; i++) + if (equal_strings (elem->props[i]->name, prop_name)) { + rules->rule_list[i] = rule_type; + return; + } + + /* we didn't find the property if we get here */ + fprintf (stderr, "modify_rule_ply: Can't find property '%s'\n", prop_name); + exit (-1); +} + + +/****************************************************************************** +Begin to create a set of properties from a set of propagation rules. + +Entry: + ply - PLY object whose rules we're preparing to use + rules - rules for the element +******************************************************************************/ + +void start_props_ply (PlyFile *ply, PlyPropRules *rules) +{ + int i; + int count; + PlyElement *elem = rules->elem; + + /* save pointer to the rules in the PLY object */ + ply->current_rules = rules; + + /* get ready for new sets of properties to combine */ + rules->nprops = 0; +} + + +/****************************************************************************** +Remember a set of properties and their weights for creating a new set of +properties. + +Entry: + weight - weights for this set of properties + other_props - the properties to use +******************************************************************************/ + +void weight_props_ply (PlyFile *ply, float weight, void *other_props) +{ + PlyPropRules *rules = ply->current_rules; + + /* allocate space for properties and weights, if necessary */ + if (rules->max_props == 0) { + rules->max_props = 6; + rules->props = (void **) myalloc (sizeof (void *) * rules->max_props); + rules->weights = (float *) myalloc (sizeof (float) * rules->max_props); + } + if (rules->nprops == rules->max_props) { + rules->max_props *= 2; + rules->props = (void **) realloc (rules->props, + sizeof (void *) * rules->max_props); + rules->weights = (float *) realloc (rules->weights, + sizeof (float) * rules->max_props); + } + + /* remember these new properties and their weights */ + + rules->props[rules->nprops] = other_props; + rules->weights[rules->nprops] = weight; + rules->nprops++; +} + + +/****************************************************************************** +Return a pointer to a new set of properties that have been created using +a specified set of property combination rules and a given collection of +"other" properties. + +Exit: + returns a pointer to the new properties +******************************************************************************/ + +void *get_new_props_ply(PlyFile *ply) +{ + int i,j; + static double *vals; + static int max_vals = 0; + PlyPropRules *rules = ply->current_rules; + PlyElement *elem = rules->elem; + PlyProperty *prop; + char *data; + char *new_data; + void *ptr; + int offset; + int type; + double double_val; + int int_val; + unsigned int uint_val; + int random_pick; + + /* return NULL if we've got no "other" properties */ + if (elem->other_size == 0) { + return (NULL); + } + + /* create room for combined other properties */ + new_data = (char *) myalloc (sizeof (char) * elem->other_size); + + /* make sure there is enough room to store values we're to combine */ + + if (max_vals == 0) { + max_vals = rules->nprops; + vals = (double *) myalloc (sizeof (double) * rules->nprops); + } + if (rules->nprops >= max_vals) { + max_vals = rules->nprops; + vals = (double *) realloc (vals, sizeof (double) * rules->nprops); + } + + /* in case we need a random choice */ + random_pick = (int) floor (rules->nprops * rand()); + + /* calculate the combination for each "other" property of the element */ + + for (i = 0; i < elem->nprops; i++) { + + /* don't bother with properties we've been asked to store explicitly */ + if (elem->store_prop[i]) + continue; + + prop = elem->props[i]; + offset = prop->offset; + type = prop->external_type; + + /* collect together all the values we're to combine */ + + for (j = 0; j < rules->nprops; j++) { + data = (char *) rules->props[j]; + ptr = (void *) (data + offset); + get_stored_item ((void *) ptr, type, &int_val, &uint_val, &double_val); + vals[j] = double_val; + } + + /* calculate the combined value */ + + switch (rules->rule_list[i]) { + case AVERAGE_RULE: { + double sum = 0; + double weight_sum = 0; + for (j = 0; j < rules->nprops; j++) { + sum += vals[j] * rules->weights[j]; + weight_sum += rules->weights[j]; + } + double_val = sum / weight_sum; + break; + } + case MINIMUM_RULE: { + double_val = vals[0]; + for (j = 1; j < rules->nprops; j++) + if (double_val > vals[j]) + double_val = vals[j]; + break; + } + case MAXIMUM_RULE: { + double_val = vals[0]; + for (j = 1; j < rules->nprops; j++) + if (double_val < vals[j]) + double_val = vals[j]; + break; + } + case RANDOM_RULE: { + double_val = vals[random_pick]; + break; + } + case SAME_RULE: { + double_val = vals[0]; + for (j = 1; j < rules->nprops; j++) + if (double_val != vals[j]) { + fprintf (stderr, + "get_new_props_ply: Error combining properties that should be the same.\n"); + exit (-1); + } + break; + } + default: + fprintf (stderr, "get_new_props_ply: Bad rule = %d\n", + rules->rule_list[i]); + exit (-1); + } + + /* store the combined value */ + + int_val = (int) double_val; + uint_val = (unsigned int) double_val; + ptr = (void *) (new_data + offset); + store_item ((char *) ptr, type, int_val, uint_val, double_val); + } + + return ((void *) new_data); +} + + +/****************************************************************************** +Set the list of user-specified property combination rules. +******************************************************************************/ + +void set_prop_rules_ply (PlyFile *ply, PlyRuleList *prop_rules) +{ + ply->rule_list = prop_rules; +} + + +/****************************************************************************** +Append a property rule to a growing list of user-specified rules. + +Entry: + rule_list - current rule list + name - name of property combination rule + property - "element.property" says which property the rule affects + +Exit: + returns pointer to the new rule list +******************************************************************************/ + +PlyRuleList *append_prop_rule ( + PlyRuleList *rule_list, + char *name, + char *property +) +{ + PlyRuleList *rule; + PlyRuleList *rule_ptr; + char *str,*str2; + char *ptr; + + /* find . */ + str = strdup (property); + for (ptr = str; *ptr != '\0' && *ptr != '.'; ptr++) ; + + /* split string at . */ + if (*ptr == '.') { + *ptr = '\0'; + str2 = ptr + 1; + } + else { + fprintf (stderr, "Can't find property '%s' for rule '%s'\n", + property, name); + return (rule_list); + } + + rule = (PlyRuleList *) malloc (sizeof (PlyRuleList)); + rule->name = name; + rule->element = str; + rule->property = str2; + rule->next = NULL; + + /* either start rule list or append to it */ + + if (rule_list == NULL) + rule_list = rule; + else { /* append new rule to current list */ + rule_ptr = rule_list; + while (rule_ptr->next != NULL) + rule_ptr = rule_ptr->next; + rule_ptr->next = rule; + } + + /* return pointer to list */ + + return (rule_list); +} + + +/****************************************************************************** +See if a name matches the name of any property combination rules. + +Entry: + name - name of rule we're trying to match + +Exit: + returns 1 if we find a match, 0 if not +******************************************************************************/ + +int matches_rule_name (char *name) +{ + int i; + + for (i = 0; rule_name_list[i].code != -1; i++) + if (equal_strings (rule_name_list[i].name, name)) + return (1); + + return (0); +} + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/text-base/ply.h.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/text-base/ply.h.svn-base new file mode 100644 index 0000000..c5a5090 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/text-base/ply.h.svn-base @@ -0,0 +1,235 @@ +/* + +Header for PLY polygon files. + +- Greg Turk + +A PLY file contains a single polygonal _object_. + +An object is composed of lists of _elements_. Typical elements are +vertices, faces, edges and materials. + +Each type of element for a given object has one or more _properties_ +associated with the element type. For instance, a vertex element may +have as properties three floating-point values x,y,z and three unsigned +chars for red, green and blue. + +----------------------------------------------------------------------- + +Copyright (c) 1998 Georgia Institute of Technology. All rights reserved. + +Permission to use, copy, modify and distribute this software and its +documentation for any purpose is hereby granted without fee, provided +that the above copyright notice and this permission notice appear in +all copies of this software and that you do not sell the software. + +THE SOFTWARE IS PROVIDED "AS IS" AND WITHOUT WARRANTY OF ANY KIND, +EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY +WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. + +*/ + +#ifndef __PLY_H__ +#define __PLY_H__ + +#ifdef __cplusplus +extern "C" { +#endif + +#include +#include + +#define PLY_ASCII 1 /* ascii PLY file */ +#define PLY_BINARY_BE 2 /* binary PLY file, big endian */ +#define PLY_BINARY_LE 3 /* binary PLY file, little endian */ + +#define PLY_OKAY 0 /* ply routine worked okay */ +#define PLY_ERROR -1 /* error in ply routine */ + +/* scalar data types supported by PLY format */ + +#define StartType 0 +#define Int8 1 +#define Int16 2 +#define Int32 3 +#define Uint8 4 +#define Uint16 5 +#define Uint32 6 +#define Float32 7 +#define Float64 8 +#define EndType 9 + +#define PLY_SCALAR 0 +#define PLY_LIST 1 +#define PLY_STRING 2 + + +typedef struct PlyProperty { /* description of a property */ + + char *name; /* property name */ + int external_type; /* file's data type */ + int internal_type; /* program's data type */ + int offset; /* offset bytes of prop in a struct */ + + int is_list; /* 0 = scalar, 1 = list, 2 = char string */ + int count_external; /* file's count type */ + int count_internal; /* program's count type */ + int count_offset; /* offset byte for list count */ + +} PlyProperty; + +typedef struct PlyElement { /* description of an element */ + char *name; /* element name */ + int num; /* number of elements in this object */ + int size; /* size of element (bytes) or -1 if variable */ + int nprops; /* number of properties for this element */ + PlyProperty **props; /* list of properties in the file */ + char *store_prop; /* flags: property wanted by user? */ + int other_offset; /* offset to un-asked-for props, or -1 if none*/ + int other_size; /* size of other_props structure */ +} PlyElement; + +typedef struct PlyOtherProp { /* describes other properties in an element */ + char *name; /* element name */ + int size; /* size of other_props */ + int nprops; /* number of properties in other_props */ + PlyProperty **props; /* list of properties in other_props */ +} PlyOtherProp; + +typedef struct OtherData { /* for storing other_props for an other element */ + void *other_props; +} OtherData; + +typedef struct OtherElem { /* data for one "other" element */ + char *elem_name; /* names of other elements */ + int elem_count; /* count of instances of each element */ + OtherData **other_data; /* actual property data for the elements */ + PlyOtherProp *other_props; /* description of the property data */ +} OtherElem; + +typedef struct PlyOtherElems { /* "other" elements, not interpreted by user */ + int num_elems; /* number of other elements */ + OtherElem *other_list; /* list of data for other elements */ +} PlyOtherElems; + +#define AVERAGE_RULE 1 +#define MAJORITY_RULE 2 +#define MINIMUM_RULE 3 +#define MAXIMUM_RULE 4 +#define SAME_RULE 5 +#define RANDOM_RULE 6 + +typedef struct PlyPropRules { /* rules for combining "other" properties */ + PlyElement *elem; /* element whose rules we are making */ + int *rule_list; /* types of rules (AVERAGE_PLY, MAJORITY_PLY, etc.) */ + int nprops; /* number of properties we're combining so far */ + int max_props; /* maximum number of properties we have room for now */ + void **props; /* list of properties we're combining */ + float *weights; /* list of weights of the properties */ +} PlyPropRules; + +typedef struct PlyRuleList { + char *name; /* name of the rule */ + char *element; /* name of element that rule applies to */ + char *property; /* name of property that rule applies to */ + struct PlyRuleList *next; /* pointer for linked list of rules */ +} PlyRuleList; + +typedef struct PlyFile { /* description of PLY file */ + FILE *fp; /* file pointer */ + int file_type; /* ascii or binary */ + float version; /* version number of file */ + int num_elem_types; /* number of element types of object */ + PlyElement **elems; /* list of elements */ + int num_comments; /* number of comments */ + char **comments; /* list of comments */ + int num_obj_info; /* number of items of object information */ + char **obj_info; /* list of object info items */ + PlyElement *which_elem; /* element we're currently reading or writing */ + PlyOtherElems *other_elems; /* "other" elements from a PLY file */ + PlyPropRules *current_rules; /* current propagation rules */ + PlyRuleList *rule_list; /* rule list from user */ +} PlyFile; + +/* memory allocation */ +/* +extern char *my_alloc(); +*/ +#define myalloc(mem_size) my_alloc((mem_size), __LINE__, __FILE__) + + +/* old routines */ + +#if 0 +extern PlyFile *ply_write(FILE *, int, char **, int); +extern PlyFile *ply_read(FILE *, int *, char ***); +extern PlyFile *ply_open_for_reading( char *, int *, char ***, int *, float *); +extern void ply_close(PlyFile *); +extern PlyOtherProp *ply_get_other_properties(PlyFile *, char *, int); +#endif + +extern void ply_describe_property(PlyFile *, char *, PlyProperty *); +extern void ply_get_property(PlyFile *, char *, PlyProperty *); +extern void ply_get_element(PlyFile *, void *); + +extern PlyElement *find_element(PlyFile *, char *); +extern PlyProperty *find_property(PlyElement *, char *, int *); + +/*** delcaration of routines ***/ + +PlyOtherElems *get_other_element_ply (PlyFile *); + +PlyFile *read_ply(FILE *); +PlyFile *write_ply(FILE *, int, char **, int); +extern PlyFile *open_for_writing_ply(char *, int, char **, int); +void close_ply(PlyFile *); +void free_ply(PlyFile *); + +void get_info_ply(PlyFile *, float *, int *); +void free_other_elements_ply (PlyOtherElems *); + +void append_comment_ply(PlyFile *, char *); +void append_obj_info_ply(PlyFile *, char *); +void copy_comments_ply(PlyFile *, PlyFile *); +void copy_obj_info_ply(PlyFile *, PlyFile *); +char **get_comments_ply(PlyFile *, int *); +char **get_obj_info_ply(PlyFile *, int *); + +char **get_element_list_ply(PlyFile *, int *); +void setup_property_ply(PlyFile *, PlyProperty *); +void get_element_ply (PlyFile *, void *); +char *setup_element_read_ply (PlyFile *, int, int *); +PlyOtherProp *get_other_properties_ply(PlyFile *, int); + +void element_count_ply(PlyFile *, char *, int); +void describe_element_ply(PlyFile *, char *, int); +void describe_property_ply(PlyFile *, PlyProperty *); +void describe_other_properties_ply(PlyFile *, PlyOtherProp *, int); +void describe_other_elements_ply ( PlyFile *, PlyOtherElems *); +void get_element_setup_ply(PlyFile *, char *, int, PlyProperty *); +PlyProperty **get_element_description_ply(PlyFile *, char *, int*, int*); +void element_layout_ply(PlyFile *, char *, int, int, PlyProperty *); + +void header_complete_ply(PlyFile *); +void put_element_setup_ply(PlyFile *, char *); +void put_element_ply(PlyFile *, void *); +void put_other_elements_ply(PlyFile *); + +PlyPropRules *init_rule_ply (PlyFile *, char *); +void modify_rule_ply (PlyPropRules *, char *, int); +void start_props_ply (PlyFile *, PlyPropRules *); +void weight_props_ply (PlyFile *, float, void *); +void *get_new_props_ply(PlyFile *); +void set_prop_rules_ply (PlyFile *, PlyRuleList *); +PlyRuleList *append_prop_rule (PlyRuleList *, char *, char *); +int matches_rule_name (char *); + +int equal_strings(char *, char *); +char *recreate_command_line (int, char *argv[]); + + +#ifdef __cplusplus +} +#endif +#endif /* !__PLY_H__ */ + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/text-base/ply_docs.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/text-base/ply_docs.svn-base new file mode 100644 index 0000000..1319200 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/text-base/ply_docs.svn-base @@ -0,0 +1,232 @@ +/*************/ +/* Writing */ +/*************/ + + +/****************************************************************************** +Open a polygon file for writing. + +Entry: + filename - name of file to read from + nelems - number of elements in object + elem_names - list of element names + file_type - file type, either ascii or binary + +Exit: + version - version number of PLY file + returns a file identifier, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *ply_open_for_writing( + char *filename, + int nelems, + char **elem_names, + int file_type, + float *version +) + +/****************************************************************************** +Describe an element, including its properties and how many will be written +to the file. + +Entry: + plyfile - file identifier + elem_name - name of element that information is being specified about + nelems - number of elements of this type to be written + nprops - number of properties contained in the element + prop_list - list of properties +******************************************************************************/ + +void ply_describe_element( + PlyFile *plyfile, + char *elem_name, + int nelems, + int nprops, + PlyProperty *prop_list +) + +/****************************************************************************** +Signal that we've described everything a PLY file's header and that the +header should be written to the file. + +Entry: + plyfile - file identifier +******************************************************************************/ + +void ply_header_complete(PlyFile *plyfile) + +/****************************************************************************** +Specify which elements are going to be written. This should be called +before a call to the routine ply_put_elements(). + +Entry: + plyfile - file identifier + elem_name - name of element we're talking about +******************************************************************************/ + +void ply_put_elements_setup(PlyFile *plyfile, char *elem_name) + +/****************************************************************************** +Write an element to the file. This routine assumes that we're +writing the type of element specified in the last call to the routine +ply_put_element_setup(). + +Entry: + plyfile - file identifier + elem_ptr - pointer to the element +******************************************************************************/ + +void ply_put_element(PlyFile *plyfile, void *elem_ptr) + +/****************************************************************************** +Specify a comment that will be written in the header. + +Entry: + plyfile - file identifier + comment - the comment to be written +******************************************************************************/ + +void ply_put_comment(PlyFile *plyfile, char *comment) + +/****************************************************************************** +Specify a piece of object information (arbitrary text) that will be written +in the header. + +Entry: + plyfile - file identifier + obj_info - the text information to be written +******************************************************************************/ + +void ply_put_obj_info(PlyFile *plyfile, char *obj_info) + + + + +/*************/ +/* Reading */ +/*************/ + + + +/****************************************************************************** +Open a polygon file for reading. + +Entry: + filename - name of file to read from + +Exit: + nelems - number of elements in object + elem_names - list of element names + file_type - file type, either ascii or binary + version - version number of PLY file + returns a file identifier, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *ply_open_for_reading( + char *filename, + int *nelems, + char ***elem_names, + int *file_type, + float *version +) + +/****************************************************************************** +Get information about a particular element. + +Entry: + plyfile - file identifier + elem_name - name of element to get information about + +Exit: + nelems - number of elements of this type in the file + nprops - number of properties + returns a list of properties +******************************************************************************/ + +PlyProperty **ply_get_element_description( + PlyFile *plyfile, + char *elem_name, + int *nelems, + int *nprops +) + +/****************************************************************************** +Specify which properties of an element are to be returned. This should be +called before a call to the routine ply_get_elements(). + +Entry: + plyfile - file identifier + elem_name - which element we're talking about + nprops - number of properties + prop_list - list of properties +******************************************************************************/ + +void ply_get_element_setup( + PlyFile *plyfile, + char *elem_name, + int nprops, + PlyProperty *prop_list +) + +/****************************************************************************** +Read one element from the file. This routine assumes that we're reading +the type of element specified in the last call to the routine +ply_get_element_setup(). + +Entry: + plyfile - file identifier + elem_ptr - pointer to location where the element information should be put +******************************************************************************/ + +ply_get_element(PlyFile *plyfile, void *elem_ptr) + +/****************************************************************************** +Extract the comments from the header information of a PLY file. + +Entry: + plyfile - file identifier + +Exit: + num_comments - number of comments returned + returns a pointer to a list of comments +******************************************************************************/ + +char **ply_get_comments(PlyFile *plyfile, int *num_comments) + +/****************************************************************************** +Extract the object information (arbitrary text) from the header information +of a PLY file. + +Entry: + plyfile - file identifier + +Exit: + num_obj_info - number of lines of text information returned + returns a pointer to a list of object info lines +******************************************************************************/ + +char **ply_get_obj_info(PlyFile *plyfile, int *num_obj_info) + + + +/*******************/ +/* Miscellaneous */ +/*******************/ + + + +/****************************************************************************** +Close a PLY file. + +Entry: + plyfile - identifier of file to close +******************************************************************************/ + +void ply_close(PlyFile *plyfile) + +/****************************************************************************** +Compare two strings. Returns 1 if they are the same, 0 if not. +******************************************************************************/ + +int equal_strings(char *s1, char *s2) + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/text-base/plyfile.cpp.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/text-base/plyfile.cpp.svn-base new file mode 100644 index 0000000..b4bb9d5 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/text-base/plyfile.cpp.svn-base @@ -0,0 +1,2514 @@ +/* + +The interface routines for reading and writing PLY polygon files. + +Greg Turk, February 1994 + +--------------------------------------------------------------- + +A PLY file contains a single polygonal _object_. + +An object is composed of lists of _elements_. Typical elements are +vertices, faces, edges and materials. + +Each type of element for a given object has one or more _properties_ +associated with the element type. For instance, a vertex element may +have as properties the floating-point values x,y,z and the three unsigned +chars representing red, green and blue. + +--------------------------------------------------------------- + +Copyright (c) 1994 The Board of Trustees of The Leland Stanford +Junior University. All rights reserved. + +Permission to use, copy, modify and distribute this software and its +documentation for any purpose is hereby granted without fee, provided +that the above copyright notice and this permission notice appear in +all copies of this software and that you do not sell the software. + +THE SOFTWARE IS PROVIDED "AS IS" AND WITHOUT WARRANTY OF ANY KIND, +EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY +WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. + +*/ + +#include "../stdafx.h" +#include +#include +#include +#include +#include "ply.h" + +char *type_names[] = { +"invalid", +"char", "short", "int", +"uchar", "ushort", "uint", +"float", "double", +}; + +int ply_type_size[] = { + 0, 1, 2, 4, 1, 2, 4, 4, 8 +}; + +#define NO_OTHER_PROPS -1 + +#define DONT_STORE_PROP 0 +#define STORE_PROP 1 + +#define OTHER_PROP 0 +#define NAMED_PROP 1 + + +/* returns 1 if strings are equal, 0 if not */ +int equal_strings(char *, char *); + +/* find an element in a plyfile's list */ +PlyElement *find_element(PlyFile *, char *); + +/* find a property in an element's list */ +PlyProperty *find_property(PlyElement *, char *, int *); + +/* write to a file the word describing a PLY file data type */ +void write_scalar_type (FILE *, int); + +/* read a line from a file and break it up into separate words */ +char **get_words(FILE *, int *, char **); +char **old_get_words(FILE *, int *); + +/* write an item to a file */ +void write_binary_item(FILE *, int, unsigned int, double, int); +void write_ascii_item(FILE *, int, unsigned int, double, int); +double old_write_ascii_item(FILE *, char *, int); + +/* add information to a PLY file descriptor */ +void add_element(PlyFile *, char **, int); +void add_property(PlyFile *, char **, int); +void add_comment(PlyFile *, char *); +void add_obj_info(PlyFile *, char *); + +/* copy a property */ +void copy_property(PlyProperty *, PlyProperty *); + +/* store a value into where a pointer and a type specify */ +void store_item(char *, int, int, unsigned int, double); + +/* return the value of a stored item */ +void get_stored_item( void *, int, int *, unsigned int *, double *); + +/* return the value stored in an item, given ptr to it and its type */ +double get_item_value(char *, int); + +/* get binary or ascii item and store it according to ptr and type */ +void get_ascii_item(char *, int, int *, unsigned int *, double *); +void get_binary_item(FILE *, int, int *, unsigned int *, double *); + +/* get a bunch of elements from a file */ +void ascii_get_element(PlyFile *, char *); +void binary_get_element(PlyFile *, char *); + +/* memory allocation */ +char *my_alloc(int, int, char *); + + +/*************/ +/* Writing */ +/*************/ + + +/****************************************************************************** +Given a file pointer, get ready to write PLY data to the file. + +Entry: + fp - the given file pointer + nelems - number of elements in object + elem_names - list of element names + file_type - file type, either ascii or binary + +Exit: + returns a pointer to a PlyFile, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *ply_write( + FILE *fp, + int nelems, + char **elem_names, + int file_type +) +{ + int i; + PlyFile *plyfile; + PlyElement *elem; + + /* check for NULL file pointer */ + if (fp == NULL) + return (NULL); + + /* create a record for this object */ + + plyfile = (PlyFile *) myalloc (sizeof (PlyFile)); + plyfile->file_type = file_type; + plyfile->num_comments = 0; + plyfile->num_obj_info = 0; + plyfile->nelems = nelems; + plyfile->version = 1.0; + plyfile->fp = fp; + plyfile->other_elems = NULL; + + /* tuck aside the names of the elements */ + + plyfile->elems = (PlyElement **) myalloc (sizeof (PlyElement *) * nelems); + for (i = 0; i < nelems; i++) { + elem = (PlyElement *) myalloc (sizeof (PlyElement)); + plyfile->elems[i] = elem; + elem->name = strdup (elem_names[i]); + elem->num = 0; + elem->nprops = 0; + } + + /* return pointer to the file descriptor */ + return (plyfile); +} + + +/****************************************************************************** +Open a polygon file for writing. + +Entry: + filename - name of file to read from + nelems - number of elements in object + elem_names - list of element names + file_type - file type, either ascii or binary + +Exit: + version - version number of PLY file + returns a file identifier, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *ply_open_for_writing( + char *filename, + int nelems, + char **elem_names, + int file_type, + float *version +) +{ + int i; + PlyFile *plyfile; + PlyElement *elem; + char *name; + FILE *fp; + + /* tack on the extension .ply, if necessary */ + + name = (char *) myalloc (sizeof (char) * (strlen (filename) + 5)); + strcpy (name, filename); + if (strlen (name) < 4 || + strcmp (name + strlen (name) - 4, ".ply") != 0) + strcat (name, ".ply"); + + /* open the file for writing */ + + fp = fopen (name, "w"); + if (fp == NULL) { + return (NULL); + } + + /* create the actual PlyFile structure */ + + plyfile = ply_write (fp, nelems, elem_names, file_type); + if (plyfile == NULL) + return (NULL); + + /* say what PLY file version number we're writing */ + *version = plyfile->version; + + /* return pointer to the file descriptor */ + return (plyfile); +} + + +/****************************************************************************** +Describe an element, including its properties and how many will be written +to the file. + +Entry: + plyfile - file identifier + elem_name - name of element that information is being specified about + nelems - number of elements of this type to be written + nprops - number of properties contained in the element + prop_list - list of properties +******************************************************************************/ + +void ply_describe_element( + PlyFile *plyfile, + char *elem_name, + int nelems, + int nprops, + PlyProperty *prop_list +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + + /* look for appropriate element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf(stderr,"ply_describe_element: can't find element '%s'\n",elem_name); + exit (-1); + } + + elem->num = nelems; + + /* copy the list of properties */ + + elem->nprops = nprops; + elem->props = (PlyProperty **) myalloc (sizeof (PlyProperty *) * nprops); + elem->store_prop = (char *) myalloc (sizeof (char) * nprops); + + for (i = 0; i < nprops; i++) { + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + elem->props[i] = prop; + elem->store_prop[i] = NAMED_PROP; + copy_property (prop, &prop_list[i]); + } +} + + +/****************************************************************************** +Describe a property of an element. + +Entry: + plyfile - file identifier + elem_name - name of element that information is being specified about + prop - the new property +******************************************************************************/ + +void ply_describe_property( + PlyFile *plyfile, + char *elem_name, + PlyProperty *prop +) +{ + PlyElement *elem; + PlyProperty *elem_prop; + + /* look for appropriate element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf(stderr, "ply_describe_property: can't find element '%s'\n", + elem_name); + return; + } + + /* create room for new property */ + + if (elem->nprops == 0) { + elem->props = (PlyProperty **) myalloc (sizeof (PlyProperty *)); + elem->store_prop = (char *) myalloc (sizeof (char)); + elem->nprops = 1; + } + else { + elem->nprops++; + elem->props = (PlyProperty **) + realloc (elem->props, sizeof (PlyProperty *) * elem->nprops); + elem->store_prop = (char *) + realloc (elem->store_prop, sizeof (char) * elem->nprops); + } + + /* copy the new property */ + + elem_prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + elem->props[elem->nprops - 1] = elem_prop; + elem->store_prop[elem->nprops - 1] = NAMED_PROP; + copy_property (elem_prop, prop); +} + + +/****************************************************************************** +Describe what the "other" properties are that are to be stored, and where +they are in an element. +******************************************************************************/ + +void ply_describe_other_properties( + PlyFile *plyfile, + PlyOtherProp *other, + int offset +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + + /* look for appropriate element */ + elem = find_element (plyfile, other->name); + if (elem == NULL) { + fprintf(stderr, "ply_describe_other_properties: can't find element '%s'\n", + other->name); + return; + } + + /* create room for other properties */ + + if (elem->nprops == 0) { + elem->props = (PlyProperty **) + myalloc (sizeof (PlyProperty *) * other->nprops); + elem->store_prop = (char *) myalloc (sizeof (char) * other->nprops); + elem->nprops = 0; + } + else { + int newsize; + newsize = elem->nprops + other->nprops; + elem->props = (PlyProperty **) + realloc (elem->props, sizeof (PlyProperty *) * newsize); + elem->store_prop = (char *) + realloc (elem->store_prop, sizeof (char) * newsize); + } + + /* copy the other properties */ + + for (i = 0; i < other->nprops; i++) { + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + copy_property (prop, other->props[i]); + elem->props[elem->nprops] = prop; + elem->store_prop[elem->nprops] = OTHER_PROP; + elem->nprops++; + } + + /* save other info about other properties */ + elem->other_size = other->size; + elem->other_offset = offset; +} + + +/****************************************************************************** +State how many of a given element will be written. + +Entry: + plyfile - file identifier + elem_name - name of element that information is being specified about + nelems - number of elements of this type to be written +******************************************************************************/ + +void ply_element_count( + PlyFile *plyfile, + char *elem_name, + int nelems +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + + /* look for appropriate element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf(stderr,"ply_element_count: can't find element '%s'\n",elem_name); + exit (-1); + } + + elem->num = nelems; +} + + +/****************************************************************************** +Signal that we've described everything a PLY file's header and that the +header should be written to the file. + +Entry: + plyfile - file identifier +******************************************************************************/ + +void ply_header_complete(PlyFile *plyfile) +{ + int i,j; + FILE *fp = plyfile->fp; + PlyElement *elem; + PlyProperty *prop; + + fprintf (fp, "ply\n"); + + switch (plyfile->file_type) { + case PLY_ASCII: + fprintf (fp, "format ascii 1.0\n"); + break; + case PLY_BINARY_BE: + fprintf (fp, "format binary_big_endian 1.0\n"); + break; + case PLY_BINARY_LE: + fprintf (fp, "format binary_little_endian 1.0\n"); + break; + default: + fprintf (stderr, "ply_header_complete: bad file type = %d\n", + plyfile->file_type); + exit (-1); + } + + /* write out the comments */ + + for (i = 0; i < plyfile->num_comments; i++) + fprintf (fp, "comment %s\n", plyfile->comments[i]); + + /* write out object information */ + + for (i = 0; i < plyfile->num_obj_info; i++) + fprintf (fp, "obj_info %s\n", plyfile->obj_info[i]); + + /* write out information about each element */ + + for (i = 0; i < plyfile->nelems; i++) { + + elem = plyfile->elems[i]; + fprintf (fp, "element %s %d\n", elem->name, elem->num); + + /* write out each property */ + for (j = 0; j < elem->nprops; j++) { + prop = elem->props[j]; + if (prop->is_list) { + fprintf (fp, "property list "); + write_scalar_type (fp, prop->count_external); + fprintf (fp, " "); + write_scalar_type (fp, prop->external_type); + fprintf (fp, " %s\n", prop->name); + } + else { + fprintf (fp, "property "); + write_scalar_type (fp, prop->external_type); + fprintf (fp, " %s\n", prop->name); + } + } + } + + fprintf (fp, "end_header\n"); +} + + +/****************************************************************************** +Specify which elements are going to be written. This should be called +before a call to the routine ply_put_element(). + +Entry: + plyfile - file identifier + elem_name - name of element we're talking about +******************************************************************************/ + +void ply_put_element_setup(PlyFile *plyfile, char *elem_name) +{ + PlyElement *elem; + + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf(stderr, "ply_elements_setup: can't find element '%s'\n", elem_name); + exit (-1); + } + + plyfile->which_elem = elem; +} + + +/****************************************************************************** +Write an element to the file. This routine assumes that we're +writing the type of element specified in the last call to the routine +ply_put_element_setup(). + +Entry: + plyfile - file identifier + elem_ptr - pointer to the element +******************************************************************************/ + +void ply_put_element(PlyFile *plyfile, void *elem_ptr) +{ + int i,j,k; + FILE *fp = plyfile->fp; + PlyElement *elem; + PlyProperty *prop; + char *elem_data,*item; + char **item_ptr; + int list_count; + int item_size; + int int_val; + unsigned int uint_val; + double double_val; + char **other_ptr; + + elem = plyfile->which_elem; + elem_data = (char*) elem_ptr; + other_ptr = (char **) (((char *) elem_ptr) + elem->other_offset); + + /* write out either to an ascii or binary file */ + + if (plyfile->file_type == PLY_ASCII) { + + /* write an ascii file */ + + /* write out each property of the element */ + for (j = 0; j < elem->nprops; j++) { + prop = elem->props[j]; + if (elem->store_prop[j] == OTHER_PROP) + elem_data = *other_ptr; + else + elem_data = (char*) elem_ptr; + if (prop->is_list) { + item = elem_data + prop->count_offset; + get_stored_item ((void *) item, prop->count_internal, + &int_val, &uint_val, &double_val); + write_ascii_item (fp, int_val, uint_val, double_val, + prop->count_external); + list_count = uint_val; + item_ptr = (char **) (elem_data + prop->offset); + item = item_ptr[0]; + item_size = ply_type_size[prop->internal_type]; + for (k = 0; k < list_count; k++) { + get_stored_item ((void *) item, prop->internal_type, + &int_val, &uint_val, &double_val); + write_ascii_item (fp, int_val, uint_val, double_val, + prop->external_type); + item += item_size; + } + } + else { + item = elem_data + prop->offset; + get_stored_item ((void *) item, prop->internal_type, + &int_val, &uint_val, &double_val); + write_ascii_item (fp, int_val, uint_val, double_val, + prop->external_type); + } + } + + fprintf (fp, "\n"); + } + else { + + /* write a binary file */ + + /* write out each property of the element */ + for (j = 0; j < elem->nprops; j++) { + prop = elem->props[j]; + if (elem->store_prop[j] == OTHER_PROP) + elem_data = *other_ptr; + else + elem_data = (char*) elem_ptr; + if (prop->is_list) { + item = elem_data + prop->count_offset; + item_size = ply_type_size[prop->count_internal]; + get_stored_item ((void *) item, prop->count_internal, + &int_val, &uint_val, &double_val); + write_binary_item (fp, int_val, uint_val, double_val, + prop->count_external); + list_count = uint_val; + item_ptr = (char **) (elem_data + prop->offset); + item = item_ptr[0]; + item_size = ply_type_size[prop->internal_type]; + for (k = 0; k < list_count; k++) { + get_stored_item ((void *) item, prop->internal_type, + &int_val, &uint_val, &double_val); + write_binary_item (fp, int_val, uint_val, double_val, + prop->external_type); + item += item_size; + } + } + else { + item = elem_data + prop->offset; + item_size = ply_type_size[prop->internal_type]; + get_stored_item ((void *) item, prop->internal_type, + &int_val, &uint_val, &double_val); + write_binary_item (fp, int_val, uint_val, double_val, + prop->external_type); + } + } + + } +} + + +/****************************************************************************** +Specify a comment that will be written in the header. + +Entry: + plyfile - file identifier + comment - the comment to be written +******************************************************************************/ + +void ply_put_comment(PlyFile *plyfile, char *comment) +{ + /* (re)allocate space for new comment */ + if (plyfile->num_comments == 0) + plyfile->comments = (char **) myalloc (sizeof (char *)); + else + plyfile->comments = (char **) realloc (plyfile->comments, + sizeof (char *) * (plyfile->num_comments + 1)); + + /* add comment to list */ + plyfile->comments[plyfile->num_comments] = strdup (comment); + plyfile->num_comments++; +} + + +/****************************************************************************** +Specify a piece of object information (arbitrary text) that will be written +in the header. + +Entry: + plyfile - file identifier + obj_info - the text information to be written +******************************************************************************/ + +void ply_put_obj_info(PlyFile *plyfile, char *obj_info) +{ + /* (re)allocate space for new info */ + if (plyfile->num_obj_info == 0) + plyfile->obj_info = (char **) myalloc (sizeof (char *)); + else + plyfile->obj_info = (char **) realloc (plyfile->obj_info, + sizeof (char *) * (plyfile->num_obj_info + 1)); + + /* add info to list */ + plyfile->obj_info[plyfile->num_obj_info] = strdup (obj_info); + plyfile->num_obj_info++; +} + + + + + + + +/*************/ +/* Reading */ +/*************/ + + + +/****************************************************************************** +Given a file pointer, get ready to read PLY data from the file. + +Entry: + fp - the given file pointer + +Exit: + nelems - number of elements in object + elem_names - list of element names + returns a pointer to a PlyFile, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *ply_read(FILE *fp, int *nelems, char ***elem_names) +{ + int i,j; + PlyFile *plyfile; + int nwords; + char **words; + int found_format = 0; + char **elist; + PlyElement *elem; + char *orig_line; + + /* check for NULL file pointer */ + if (fp == NULL) + return (NULL); + + /* create record for this object */ + + plyfile = (PlyFile *) myalloc (sizeof (PlyFile)); + plyfile->nelems = 0; + plyfile->comments = NULL; + plyfile->num_comments = 0; + plyfile->obj_info = NULL; + plyfile->num_obj_info = 0; + plyfile->fp = fp; + plyfile->other_elems = NULL; + + /* read and parse the file's header */ + + words = get_words (plyfile->fp, &nwords, &orig_line); + if (!words || !equal_strings (words[0], "ply")) + return (NULL); + + while (words) { + + /* parse words */ + + if (equal_strings (words[0], "format")) { + if (nwords != 3) + return (NULL); + if (equal_strings (words[1], "ascii")) + plyfile->file_type = PLY_ASCII; + else if (equal_strings (words[1], "binary_big_endian")) + plyfile->file_type = PLY_BINARY_BE; + else if (equal_strings (words[1], "binary_little_endian")) + plyfile->file_type = PLY_BINARY_LE; + else + return (NULL); + plyfile->version = atof (words[2]); + found_format = 1; + } + else if (equal_strings (words[0], "element")) + add_element (plyfile, words, nwords); + else if (equal_strings (words[0], "property")) + add_property (plyfile, words, nwords); + else if (equal_strings (words[0], "comment")) + add_comment (plyfile, orig_line); + else if (equal_strings (words[0], "obj_info")) + add_obj_info (plyfile, orig_line); + else if (equal_strings (words[0], "end_header")) + break; + + /* free up words space */ + free (words); + + words = get_words (plyfile->fp, &nwords, &orig_line); + } + + /* create tags for each property of each element, to be used */ + /* later to say whether or not to store each property for the user */ + + for (i = 0; i < plyfile->nelems; i++) { + elem = plyfile->elems[i]; + elem->store_prop = (char *) myalloc (sizeof (char) * elem->nprops); + for (j = 0; j < elem->nprops; j++) + elem->store_prop[j] = DONT_STORE_PROP; + elem->other_offset = NO_OTHER_PROPS; /* no "other" props by default */ + } + + /* set return values about the elements */ + + elist = (char **) myalloc (sizeof (char *) * plyfile->nelems); + for (i = 0; i < plyfile->nelems; i++) + elist[i] = strdup (plyfile->elems[i]->name); + + *elem_names = elist; + *nelems = plyfile->nelems; + + /* return a pointer to the file's information */ + + return (plyfile); +} + + +/****************************************************************************** +Open a polygon file for reading. + +Entry: + filename - name of file to read from + +Exit: + nelems - number of elements in object + elem_names - list of element names + file_type - file type, either ascii or binary + version - version number of PLY file + returns a file identifier, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *ply_open_for_reading( + char *filename, + int *nelems, + char ***elem_names, + int *file_type, + float *version +) +{ + FILE *fp; + PlyFile *plyfile; + char *name; + + /* tack on the extension .ply, if necessary */ + + name = (char *) myalloc (sizeof (char) * (strlen (filename) + 5)); + strcpy (name, filename); + if (strlen (name) < 4 || + strcmp (name + strlen (name) - 4, ".ply") != 0) + strcat (name, ".ply"); + + /* open the file for reading */ + + fp = fopen (name, "r"); + if (fp == NULL) + return (NULL); + + /* create the PlyFile data structure */ + + plyfile = ply_read (fp, nelems, elem_names); + + /* determine the file type and version */ + + *file_type = plyfile->file_type; + *version = plyfile->version; + + /* return a pointer to the file's information */ + + return (plyfile); +} + + +/****************************************************************************** +Get information about a particular element. + +Entry: + plyfile - file identifier + elem_name - name of element to get information about + +Exit: + nelems - number of elements of this type in the file + nprops - number of properties + returns a list of properties, or NULL if the file doesn't contain that elem +******************************************************************************/ + +PlyProperty **ply_get_element_description( + PlyFile *plyfile, + char *elem_name, + int *nelems, + int *nprops +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + PlyProperty **prop_list; + + /* find information about the element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) + return (NULL); + + *nelems = elem->num; + *nprops = elem->nprops; + + /* make a copy of the element's property list */ + prop_list = (PlyProperty **) myalloc (sizeof (PlyProperty *) * elem->nprops); + for (i = 0; i < elem->nprops; i++) { + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + copy_property (prop, elem->props[i]); + prop_list[i] = prop; + } + + /* return this duplicate property list */ + return (prop_list); +} + + +/****************************************************************************** +Specify which properties of an element are to be returned. This should be +called before a call to the routine ply_get_element(). + +Entry: + plyfile - file identifier + elem_name - which element we're talking about + nprops - number of properties + prop_list - list of properties +******************************************************************************/ + +void ply_get_element_setup( + PlyFile *plyfile, + char *elem_name, + int nprops, + PlyProperty *prop_list +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + int index; + + /* find information about the element */ + elem = find_element (plyfile, elem_name); + plyfile->which_elem = elem; + + /* deposit the property information into the element's description */ + for (i = 0; i < nprops; i++) { + + /* look for actual property */ + prop = find_property (elem, prop_list[i].name, &index); + if (prop == NULL) { + fprintf (stderr, "Warning: Can't find property '%s' in element '%s'\n", + prop_list[i].name, elem_name); + continue; + } + + /* store its description */ + prop->internal_type = prop_list[i].internal_type; + prop->offset = prop_list[i].offset; + prop->count_internal = prop_list[i].count_internal; + prop->count_offset = prop_list[i].count_offset; + + /* specify that the user wants this property */ + elem->store_prop[index] = STORE_PROP; + } +} + + +/****************************************************************************** +Specify a property of an element that is to be returned. This should be +called (usually multiple times) before a call to the routine ply_get_element(). +This routine should be used in preference to the less flexible old routine +called ply_get_element_setup(). + +Entry: + plyfile - file identifier + elem_name - which element we're talking about + prop - property to add to those that will be returned +******************************************************************************/ + +void ply_get_property( + PlyFile *plyfile, + char *elem_name, + PlyProperty *prop +) +{ + PlyElement *elem; + PlyProperty *prop_ptr; + int index; + + /* find information about the element */ + elem = find_element (plyfile, elem_name); + plyfile->which_elem = elem; + + /* deposit the property information into the element's description */ + + prop_ptr = find_property (elem, prop->name, &index); + if (prop_ptr == NULL) { + fprintf (stderr, "Warning: Can't find property '%s' in element '%s'\n", + prop->name, elem_name); + return; + } + prop_ptr->internal_type = prop->internal_type; + prop_ptr->offset = prop->offset; + prop_ptr->count_internal = prop->count_internal; + prop_ptr->count_offset = prop->count_offset; + + /* specify that the user wants this property */ + elem->store_prop[index] = STORE_PROP; +} + + +/****************************************************************************** +Read one element from the file. This routine assumes that we're reading +the type of element specified in the last call to the routine +ply_get_element_setup(). + +Entry: + plyfile - file identifier + elem_ptr - pointer to location where the element information should be put +******************************************************************************/ + +ply_get_element(PlyFile *plyfile, void *elem_ptr) +{ + if (plyfile->file_type == PLY_ASCII) + ascii_get_element (plyfile, (char *) elem_ptr); + else + binary_get_element (plyfile, (char *) elem_ptr); +} + + +/****************************************************************************** +Extract the comments from the header information of a PLY file. + +Entry: + plyfile - file identifier + +Exit: + num_comments - number of comments returned + returns a pointer to a list of comments +******************************************************************************/ + +char **ply_get_comments(PlyFile *plyfile, int *num_comments) +{ + *num_comments = plyfile->num_comments; + return (plyfile->comments); +} + + +/****************************************************************************** +Extract the object information (arbitrary text) from the header information +of a PLY file. + +Entry: + plyfile - file identifier + +Exit: + num_obj_info - number of lines of text information returned + returns a pointer to a list of object info lines +******************************************************************************/ + +char **ply_get_obj_info(PlyFile *plyfile, int *num_obj_info) +{ + *num_obj_info = plyfile->num_obj_info; + return (plyfile->obj_info); +} + + +/****************************************************************************** +Make ready for "other" properties of an element-- those properties that +the user has not explicitly asked for, but that are to be stashed away +in a special structure to be carried along with the element's other +information. + +Entry: + plyfile - file identifier + elem - element for which we want to save away other properties +******************************************************************************/ + +void setup_other_props(PlyFile *plyfile, PlyElement *elem) +{ + int i; + PlyProperty *prop; + int size = 0; + int type_size; + + /* Examine each property in decreasing order of size. */ + /* We do this so that all data types will be aligned by */ + /* word, half-word, or whatever within the structure. */ + + for (type_size = 8; type_size > 0; type_size /= 2) { + + /* add up the space taken by each property, and save this information */ + /* away in the property descriptor */ + + for (i = 0; i < elem->nprops; i++) { + + /* don't bother with properties we've been asked to store explicitly */ + if (elem->store_prop[i]) + continue; + + prop = elem->props[i]; + + /* internal types will be same as external */ + prop->internal_type = prop->external_type; + prop->count_internal = prop->count_external; + + /* check list case */ + if (prop->is_list) { + + /* pointer to list */ + if (type_size == sizeof (void *)) { + prop->offset = size; + size += sizeof (void *); /* always use size of a pointer here */ + } + + /* count of number of list elements */ + if (type_size == ply_type_size[prop->count_external]) { + prop->count_offset = size; + size += ply_type_size[prop->count_external]; + } + } + /* not list */ + else if (type_size == ply_type_size[prop->external_type]) { + prop->offset = size; + size += ply_type_size[prop->external_type]; + } + } + + } + + /* save the size for the other_props structure */ + elem->other_size = size; +} + + +/****************************************************************************** +Specify that we want the "other" properties of an element to be tucked +away within the user's structure. The user needn't be concerned for how +these properties are stored. + +Entry: + plyfile - file identifier + elem_name - name of element that we want to store other_props in + offset - offset to where other_props will be stored inside user's structure + +Exit: + returns pointer to structure containing description of other_props +******************************************************************************/ + +PlyOtherProp *ply_get_other_properties( + PlyFile *plyfile, + char *elem_name, + int offset +) +{ + int i; + PlyElement *elem; + PlyOtherProp *other; + PlyProperty *prop; + int nprops; + + /* find information about the element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf (stderr, "ply_get_other_properties: Can't find element '%s'\n", + elem_name); + return (NULL); + } + + /* remember that this is the "current" element */ + plyfile->which_elem = elem; + + /* save the offset to where to store the other_props */ + elem->other_offset = offset; + + /* place the appropriate pointers, etc. in the element's property list */ + setup_other_props (plyfile, elem); + + /* create structure for describing other_props */ + other = (PlyOtherProp *) myalloc (sizeof (PlyOtherProp)); + other->name = strdup (elem_name); +#if 0 + if (elem->other_offset == NO_OTHER_PROPS) { + other->size = 0; + other->props = NULL; + other->nprops = 0; + return (other); + } +#endif + other->size = elem->other_size; + other->props = (PlyProperty **) myalloc (sizeof(PlyProperty) * elem->nprops); + + /* save descriptions of each "other" property */ + nprops = 0; + for (i = 0; i < elem->nprops; i++) { + if (elem->store_prop[i]) + continue; + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + copy_property (prop, elem->props[i]); + other->props[nprops] = prop; + nprops++; + } + other->nprops = nprops; + +#if 1 + /* set other_offset pointer appropriately if there are NO other properties */ + if (other->nprops == 0) { + elem->other_offset = NO_OTHER_PROPS; + } +#endif + + /* return structure */ + return (other); +} + + + + +/*************************/ +/* Other Element Stuff */ +/*************************/ + + + + +/****************************************************************************** +Grab all the data for an element that a user does not want to explicitly +read in. + +Entry: + plyfile - pointer to file + elem_name - name of element whose data is to be read in + elem_count - number of instances of this element stored in the file + +Exit: + returns pointer to ALL the "other" element data for this PLY file +******************************************************************************/ + +PlyOtherElems *ply_get_other_element ( + PlyFile *plyfile, + char *elem_name, + int elem_count +) +{ + int i; + PlyElement *elem; + PlyOtherElems *other_elems; + OtherElem *other; + int num_elems; + + /* look for appropriate element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf (stderr, + "ply_get_other_element: can't find element '%s'\n", elem_name); + exit (-1); + } + + /* create room for the new "other" element, initializing the */ + /* other data structure if necessary */ + + if (plyfile->other_elems == NULL) { + plyfile->other_elems = (PlyOtherElems *) myalloc (sizeof (PlyOtherElems)); + other_elems = plyfile->other_elems; + other_elems->other_list = (OtherElem *) myalloc (sizeof (OtherElem)); + other = &(other_elems->other_list[0]); + other_elems->num_elems = 1; + } + else { + other_elems = plyfile->other_elems; + other_elems->other_list = (OtherElem *) realloc (other_elems->other_list, + sizeof (OtherElem) * other_elems->num_elems + 1); + other = &(other_elems->other_list[other_elems->num_elems]); + other_elems->num_elems++; + } + + /* count of element instances in file */ + other->elem_count = elem_count; + + /* save name of element */ + other->elem_name = strdup (elem_name); + + /* create a list to hold all the current elements */ + other->other_data = (OtherData **) + malloc (sizeof (OtherData *) * other->elem_count); + + /* set up for getting elements */ + other->other_props = ply_get_other_properties (plyfile, elem_name, + offsetof(OtherData,other_props)); + + /* grab all these elements */ + for (i = 0; i < other->elem_count; i++) { + /* grab and element from the file */ + other->other_data[i] = (OtherData *) malloc (sizeof (OtherData)); + ply_get_element (plyfile, (void *) other->other_data[i]); + } + + /* return pointer to the other elements data */ + return (other_elems); +} + + +/****************************************************************************** +Pass along a pointer to "other" elements that we want to save in a given +PLY file. These other elements were presumably read from another PLY file. + +Entry: + plyfile - file pointer in which to store this other element info + other_elems - info about other elements that we want to store +******************************************************************************/ + +void ply_describe_other_elements ( + PlyFile *plyfile, + PlyOtherElems *other_elems +) +{ + int i; + OtherElem *other; + + /* ignore this call if there is no other element */ + if (other_elems == NULL) + return; + + /* save pointer to this information */ + plyfile->other_elems = other_elems; + + /* describe the other properties of this element */ + + for (i = 0; i < other_elems->num_elems; i++) { + other = &(other_elems->other_list[i]); + ply_element_count (plyfile, other->elem_name, other->elem_count); + ply_describe_other_properties (plyfile, other->other_props, + offsetof(OtherData,other_props)); + } +} + + +/****************************************************************************** +Write out the "other" elements specified for this PLY file. + +Entry: + plyfile - pointer to PLY file to write out other elements for +******************************************************************************/ + +void ply_put_other_elements (PlyFile *plyfile) +{ + int i,j; + OtherElem *other; + + /* make sure we have other elements to write */ + if (plyfile->other_elems == NULL) + return; + + /* write out the data for each "other" element */ + + for (i = 0; i < plyfile->other_elems->num_elems; i++) { + + other = &(plyfile->other_elems->other_list[i]); + ply_put_element_setup (plyfile, other->elem_name); + + /* write out each instance of the current element */ + for (j = 0; j < other->elem_count; j++) + ply_put_element (plyfile, (void *) other->other_data[j]); + } +} + + +/****************************************************************************** +Free up storage used by an "other" elements data structure. + +Entry: + other_elems - data structure to free up +******************************************************************************/ + +void ply_free_other_elements (PlyOtherElems *other_elems) +{ + +} + + + +/*******************/ +/* Miscellaneous */ +/*******************/ + + + +/****************************************************************************** +Close a PLY file. + +Entry: + plyfile - identifier of file to close +******************************************************************************/ + +void ply_close(PlyFile *plyfile) +{ + fclose (plyfile->fp); + + /* free up memory associated with the PLY file */ + free (plyfile); +} + + +/****************************************************************************** +Get version number and file type of a PlyFile. + +Entry: + ply - pointer to PLY file + +Exit: + version - version of the file + file_type - PLY_ASCII, PLY_BINARY_BE, or PLY_BINARY_LE +******************************************************************************/ + +void ply_get_info(PlyFile *ply, float *version, int *file_type) +{ + if (ply == NULL) + return; + + *version = ply->version; + *file_type = ply->file_type; +} + + +/****************************************************************************** +Compare two strings. Returns 1 if they are the same, 0 if not. +******************************************************************************/ + +int equal_strings(char *s1, char *s2) +{ + int i; + + while (*s1 && *s2) + if (*s1++ != *s2++) + return (0); + + if (*s1 != *s2) + return (0); + else + return (1); +} + + +/****************************************************************************** +Find an element from the element list of a given PLY object. + +Entry: + plyfile - file id for PLY file + element - name of element we're looking for + +Exit: + returns the element, or NULL if not found +******************************************************************************/ + +PlyElement *find_element(PlyFile *plyfile, char *element) +{ + int i; + + for (i = 0; i < plyfile->nelems; i++) + if (equal_strings (element, plyfile->elems[i]->name)) + return (plyfile->elems[i]); + + return (NULL); +} + + +/****************************************************************************** +Find a property in the list of properties of a given element. + +Entry: + elem - pointer to element in which we want to find the property + prop_name - name of property to find + +Exit: + index - index to position in list + returns a pointer to the property, or NULL if not found +******************************************************************************/ + +PlyProperty *find_property(PlyElement *elem, char *prop_name, int *index) +{ + int i; + + for (i = 0; i < elem->nprops; i++) + if (equal_strings (prop_name, elem->props[i]->name)) { + *index = i; + return (elem->props[i]); + } + + *index = -1; + return (NULL); +} + + +/****************************************************************************** +Read an element from an ascii file. + +Entry: + plyfile - file identifier + elem_ptr - pointer to element +******************************************************************************/ + +void ascii_get_element(PlyFile *plyfile, char *elem_ptr) +{ + int i,j,k; + PlyElement *elem; + PlyProperty *prop; + char **words; + int nwords; + int which_word; + FILE *fp = plyfile->fp; + char *elem_data,*item; + char *item_ptr; + int item_size; + int int_val; + unsigned int uint_val; + double double_val; + int list_count; + int store_it; + char **store_array; + char *orig_line; + char *other_data; + int other_flag; + + /* the kind of element we're reading currently */ + elem = plyfile->which_elem; + + /* do we need to setup for other_props? */ + + if (elem->other_offset != NO_OTHER_PROPS) { + char **ptr; + other_flag = 1; + /* make room for other_props */ + other_data = (char *) myalloc (elem->other_size); + /* store pointer in user's structure to the other_props */ + ptr = (char **) (elem_ptr + elem->other_offset); + *ptr = other_data; + } + else + other_flag = 0; + + /* read in the element */ + + words = get_words (plyfile->fp, &nwords, &orig_line); + if (words == NULL) { + fprintf (stderr, "ply_get_element: unexpected end of file\n"); + exit (-1); + } + + which_word = 0; + + for (j = 0; j < elem->nprops; j++) { + + prop = elem->props[j]; + store_it = (elem->store_prop[j] | other_flag); + + /* store either in the user's structure or in other_props */ + if (elem->store_prop[j]) + elem_data = elem_ptr; + else + elem_data = other_data; + + if (prop->is_list) { /* a list */ + + /* get and store the number of items in the list */ + get_ascii_item (words[which_word++], prop->count_external, + &int_val, &uint_val, &double_val); + if (store_it) { + item = elem_data + prop->count_offset; + store_item(item, prop->count_internal, int_val, uint_val, double_val); + } + + /* allocate space for an array of items and store a ptr to the array */ + list_count = int_val; + item_size = ply_type_size[prop->internal_type]; + store_array = (char **) (elem_data + prop->offset); + + if (list_count == 0) { + if (store_it) + *store_array = NULL; + } + else { + if (store_it) { + item_ptr = (char *) myalloc (sizeof (char) * item_size * list_count); + item = item_ptr; + *store_array = item_ptr; + } + + /* read items and store them into the array */ + for (k = 0; k < list_count; k++) { + get_ascii_item (words[which_word++], prop->external_type, + &int_val, &uint_val, &double_val); + if (store_it) { + store_item (item, prop->internal_type, + int_val, uint_val, double_val); + item += item_size; + } + } + } + + } + else { /* not a list */ + get_ascii_item (words[which_word++], prop->external_type, + &int_val, &uint_val, &double_val); + if (store_it) { + item = elem_data + prop->offset; + store_item (item, prop->internal_type, int_val, uint_val, double_val); + } + } + + } + + free (words); +} + + +/****************************************************************************** +Read an element from a binary file. + +Entry: + plyfile - file identifier + elem_ptr - pointer to an element +******************************************************************************/ + +void binary_get_element(PlyFile *plyfile, char *elem_ptr) +{ + int i,j,k; + PlyElement *elem; + PlyProperty *prop; + FILE *fp = plyfile->fp; + char *elem_data,*item; + char *item_ptr; + int item_size; + int int_val; + unsigned int uint_val; + double double_val; + int list_count; + int store_it; + char **store_array; + char *other_data; + int other_flag; + + /* the kind of element we're reading currently */ + elem = plyfile->which_elem; + + /* do we need to setup for other_props? */ + + if (elem->other_offset != NO_OTHER_PROPS) { + char **ptr; + other_flag = 1; + /* make room for other_props */ + other_data = (char *) myalloc (elem->other_size); + /* store pointer in user's structure to the other_props */ + ptr = (char **) (elem_ptr + elem->other_offset); + *ptr = other_data; + } + else + other_flag = 0; + + /* read in a number of elements */ + + for (j = 0; j < elem->nprops; j++) { + + prop = elem->props[j]; + store_it = (elem->store_prop[j] | other_flag); + + /* store either in the user's structure or in other_props */ + if (elem->store_prop[j]) + elem_data = elem_ptr; + else + elem_data = other_data; + + if (prop->is_list) { /* a list */ + + /* get and store the number of items in the list */ + get_binary_item (fp, prop->count_external, + &int_val, &uint_val, &double_val); + if (store_it) { + item = elem_data + prop->count_offset; + store_item(item, prop->count_internal, int_val, uint_val, double_val); + } + + /* allocate space for an array of items and store a ptr to the array */ + list_count = int_val; + /* The "if" was added by Afra Zomorodian 8/22/95 + * so that zipper won't crash reading plies that have additional + * properties. + */ + if (store_it) { + item_size = ply_type_size[prop->internal_type]; + } + store_array = (char **) (elem_data + prop->offset); + if (list_count == 0) { + if (store_it) + *store_array = NULL; + } + else { + if (store_it) { + item_ptr = (char *) myalloc (sizeof (char) * item_size * list_count); + item = item_ptr; + *store_array = item_ptr; + } + + /* read items and store them into the array */ + for (k = 0; k < list_count; k++) { + get_binary_item (fp, prop->external_type, + &int_val, &uint_val, &double_val); + if (store_it) { + store_item (item, prop->internal_type, + int_val, uint_val, double_val); + item += item_size; + } + } + } + + } + else { /* not a list */ + get_binary_item (fp, prop->external_type, + &int_val, &uint_val, &double_val); + if (store_it) { + item = elem_data + prop->offset; + store_item (item, prop->internal_type, int_val, uint_val, double_val); + } + } + + } +} + + +/****************************************************************************** +Write to a file the word that represents a PLY data type. + +Entry: + fp - file pointer + code - code for type +******************************************************************************/ + +void write_scalar_type (FILE *fp, int code) +{ + /* make sure this is a valid code */ + + if (code <= PLY_START_TYPE || code >= PLY_END_TYPE) { + fprintf (stderr, "write_scalar_type: bad data code = %d\n", code); + exit (-1); + } + + /* write the code to a file */ + + fprintf (fp, "%s", type_names[code]); +} + + +/****************************************************************************** +Get a text line from a file and break it up into words. + +IMPORTANT: The calling routine call "free" on the returned pointer once +finished with it. + +Entry: + fp - file to read from + +Exit: + nwords - number of words returned + orig_line - the original line of characters + returns a list of words from the line, or NULL if end-of-file +******************************************************************************/ + +char **get_words(FILE *fp, int *nwords, char **orig_line) +{ +#define BIG_STRING 4096 + int i,j; + static char str[BIG_STRING]; + static char str_copy[BIG_STRING]; + char **words; + int max_words = 10; + int num_words = 0; + char *ptr,*ptr2; + char *result; + + words = (char **) myalloc (sizeof (char *) * max_words); + + /* read in a line */ + result = fgets (str, BIG_STRING, fp); + if (result == NULL) { + *nwords = 0; + *orig_line = NULL; + return (NULL); + } + + /* convert line-feed and tabs into spaces */ + /* (this guarentees that there will be a space before the */ + /* null character at the end of the string) */ + + str[BIG_STRING-2] = ' '; + str[BIG_STRING-1] = '\0'; + + for (ptr = str, ptr2 = str_copy; *ptr != '\0'; ptr++, ptr2++) { + *ptr2 = *ptr; + if (*ptr == '\t') { + *ptr = ' '; + *ptr2 = ' '; + } + else if (*ptr == '\n') { + *ptr = ' '; + *ptr2 = '\0'; + break; + } + } + + /* find the words in the line */ + + ptr = str; + while (*ptr != '\0') { + + /* jump over leading spaces */ + while (*ptr == ' ') + ptr++; + + /* break if we reach the end */ + if (*ptr == '\0') + break; + + /* save pointer to beginning of word */ + if (num_words >= max_words) { + max_words += 10; + words = (char **) realloc (words, sizeof (char *) * max_words); + } + words[num_words++] = ptr; + + /* jump over non-spaces */ + while (*ptr != ' ') + ptr++; + + /* place a null character here to mark the end of the word */ + *ptr++ = '\0'; + } + + /* return the list of words */ + *nwords = num_words; + *orig_line = str_copy; + return (words); +} + + +/****************************************************************************** +Return the value of an item, given a pointer to it and its type. + +Entry: + item - pointer to item + type - data type that "item" points to + +Exit: + returns a double-precision float that contains the value of the item +******************************************************************************/ + +double get_item_value(char *item, int type) +{ + unsigned char *puchar; + char *pchar; + short int *pshort; + unsigned short int *pushort; + int *pint; + unsigned int *puint; + float *pfloat; + double *pdouble; + int int_value; + unsigned int uint_value; + double double_value; + + switch (type) { + case PLY_CHAR: + pchar = (char *) item; + int_value = *pchar; + return ((double) int_value); + case PLY_UCHAR: + puchar = (unsigned char *) item; + int_value = *puchar; + return ((double) int_value); + case PLY_SHORT: + pshort = (short int *) item; + int_value = *pshort; + return ((double) int_value); + case PLY_USHORT: + pushort = (unsigned short int *) item; + int_value = *pushort; + return ((double) int_value); + case PLY_INT: + pint = (int *) item; + int_value = *pint; + return ((double) int_value); + case PLY_UINT: + puint = (unsigned int *) item; + uint_value = *puint; + return ((double) uint_value); + case PLY_FLOAT: + pfloat = (float *) item; + double_value = *pfloat; + return (double_value); + case PLY_DOUBLE: + pdouble = (double *) item; + double_value = *pdouble; + return (double_value); + default: + fprintf (stderr, "get_item_value: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Write out an item to a file as raw binary bytes. + +Entry: + fp - file to write to + int_val - integer version of item + uint_val - unsigned integer version of item + double_val - double-precision float version of item + type - data type to write out +******************************************************************************/ + +void write_binary_item( + FILE *fp, + int int_val, + unsigned int uint_val, + double double_val, + int type +) +{ + unsigned char uchar_val; + char char_val; + unsigned short ushort_val; + short short_val; + float float_val; + + switch (type) { + case PLY_CHAR: + char_val = int_val; + fwrite (&char_val, 1, 1, fp); + break; + case PLY_SHORT: + short_val = int_val; + fwrite (&short_val, 2, 1, fp); + break; + case PLY_INT: + fwrite (&int_val, 4, 1, fp); + break; + case PLY_UCHAR: + uchar_val = uint_val; + fwrite (&uchar_val, 1, 1, fp); + break; + case PLY_USHORT: + ushort_val = uint_val; + fwrite (&ushort_val, 2, 1, fp); + break; + case PLY_UINT: + fwrite (&uint_val, 4, 1, fp); + break; + case PLY_FLOAT: + float_val = double_val; + fwrite (&float_val, 4, 1, fp); + break; + case PLY_DOUBLE: + fwrite (&double_val, 8, 1, fp); + break; + default: + fprintf (stderr, "write_binary_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Write out an item to a file as ascii characters. + +Entry: + fp - file to write to + int_val - integer version of item + uint_val - unsigned integer version of item + double_val - double-precision float version of item + type - data type to write out +******************************************************************************/ + +void write_ascii_item( + FILE *fp, + int int_val, + unsigned int uint_val, + double double_val, + int type +) +{ + switch (type) { + case PLY_CHAR: + case PLY_SHORT: + case PLY_INT: + fprintf (fp, "%d ", int_val); + break; + case PLY_UCHAR: + case PLY_USHORT: + case PLY_UINT: + fprintf (fp, "%u ", uint_val); + break; + case PLY_FLOAT: + case PLY_DOUBLE: + fprintf (fp, "%g ", double_val); + break; + default: + fprintf (stderr, "write_ascii_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Write out an item to a file as ascii characters. + +Entry: + fp - file to write to + item - pointer to item to write + type - data type that "item" points to + +Exit: + returns a double-precision float that contains the value of the written item +******************************************************************************/ + +double old_write_ascii_item(FILE *fp, char *item, int type) +{ + unsigned char *puchar; + char *pchar; + short int *pshort; + unsigned short int *pushort; + int *pint; + unsigned int *puint; + float *pfloat; + double *pdouble; + int int_value; + unsigned int uint_value; + double double_value; + + switch (type) { + case PLY_CHAR: + pchar = (char *) item; + int_value = *pchar; + fprintf (fp, "%d ", int_value); + return ((double) int_value); + case PLY_UCHAR: + puchar = (unsigned char *) item; + int_value = *puchar; + fprintf (fp, "%d ", int_value); + return ((double) int_value); + case PLY_SHORT: + pshort = (short int *) item; + int_value = *pshort; + fprintf (fp, "%d ", int_value); + return ((double) int_value); + case PLY_USHORT: + pushort = (unsigned short int *) item; + int_value = *pushort; + fprintf (fp, "%d ", int_value); + return ((double) int_value); + case PLY_INT: + pint = (int *) item; + int_value = *pint; + fprintf (fp, "%d ", int_value); + return ((double) int_value); + case PLY_UINT: + puint = (unsigned int *) item; + uint_value = *puint; + fprintf (fp, "%u ", uint_value); + return ((double) uint_value); + case PLY_FLOAT: + pfloat = (float *) item; + double_value = *pfloat; + fprintf (fp, "%g ", double_value); + return (double_value); + case PLY_DOUBLE: + pdouble = (double *) item; + double_value = *pdouble; + fprintf (fp, "%g ", double_value); + return (double_value); + default: + fprintf (stderr, "old_write_ascii_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Get the value of an item that is in memory, and place the result +into an integer, an unsigned integer and a double. + +Entry: + ptr - pointer to the item + type - data type supposedly in the item + +Exit: + int_val - integer value + uint_val - unsigned integer value + double_val - double-precision floating point value +******************************************************************************/ + +void get_stored_item( + void *ptr, + int type, + int *int_val, + unsigned int *uint_val, + double *double_val +) +{ + switch (type) { + case PLY_CHAR: + *int_val = *((char *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case PLY_UCHAR: + *uint_val = *((unsigned char *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case PLY_SHORT: + *int_val = *((short int *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case PLY_USHORT: + *uint_val = *((unsigned short int *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case PLY_INT: + *int_val = *((int *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case PLY_UINT: + *uint_val = *((unsigned int *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case PLY_FLOAT: + *double_val = *((float *) ptr); + *int_val = *double_val; + *uint_val = *double_val; + break; + case PLY_DOUBLE: + *double_val = *((double *) ptr); + *int_val = *double_val; + *uint_val = *double_val; + break; + default: + fprintf (stderr, "get_stored_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Get the value of an item from a binary file, and place the result +into an integer, an unsigned integer and a double. + +Entry: + fp - file to get item from + type - data type supposedly in the word + +Exit: + int_val - integer value + uint_val - unsigned integer value + double_val - double-precision floating point value +******************************************************************************/ + +void get_binary_item( + FILE *fp, + int type, + int *int_val, + unsigned int *uint_val, + double *double_val +) +{ + char c[8]; + void *ptr; + + ptr = (void *) c; + + switch (type) { + case PLY_CHAR: + fread (ptr, 1, 1, fp); + *int_val = *((char *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case PLY_UCHAR: + fread (ptr, 1, 1, fp); + *uint_val = *((unsigned char *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case PLY_SHORT: + fread (ptr, 2, 1, fp); + *int_val = *((short int *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case PLY_USHORT: + fread (ptr, 2, 1, fp); + *uint_val = *((unsigned short int *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case PLY_INT: + fread (ptr, 4, 1, fp); + *int_val = *((int *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case PLY_UINT: + fread (ptr, 4, 1, fp); + *uint_val = *((unsigned int *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case PLY_FLOAT: + fread (ptr, 4, 1, fp); + *double_val = *((float *) ptr); + *int_val = *double_val; + *uint_val = *double_val; + break; + case PLY_DOUBLE: + fread (ptr, 8, 1, fp); + *double_val = *((double *) ptr); + *int_val = *double_val; + *uint_val = *double_val; + break; + default: + fprintf (stderr, "get_binary_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Extract the value of an item from an ascii word, and place the result +into an integer, an unsigned integer and a double. + +Entry: + word - word to extract value from + type - data type supposedly in the word + +Exit: + int_val - integer value + uint_val - unsigned integer value + double_val - double-precision floating point value +******************************************************************************/ + +void get_ascii_item( + char *word, + int type, + int *int_val, + unsigned int *uint_val, + double *double_val +) +{ + switch (type) { + case PLY_CHAR: + case PLY_UCHAR: + case PLY_SHORT: + case PLY_USHORT: + case PLY_INT: + *int_val = atoi (word); + *uint_val = *int_val; + *double_val = *int_val; + break; + + case PLY_UINT: + *uint_val = strtoul (word, (char **) NULL, 10); + *int_val = *uint_val; + *double_val = *uint_val; + break; + + case PLY_FLOAT: + case PLY_DOUBLE: + *double_val = atof (word); + *int_val = (int) *double_val; + *uint_val = (unsigned int) *double_val; + break; + + default: + fprintf (stderr, "get_ascii_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Store a value into a place being pointed to, guided by a data type. + +Entry: + item - place to store value + type - data type + int_val - integer version of value + uint_val - unsigned integer version of value + double_val - double version of value + +Exit: + item - pointer to stored value +******************************************************************************/ + +void store_item ( + char *item, + int type, + int int_val, + unsigned int uint_val, + double double_val +) +{ + unsigned char *puchar; + short int *pshort; + unsigned short int *pushort; + int *pint; + unsigned int *puint; + float *pfloat; + double *pdouble; + + switch (type) { + case PLY_CHAR: + *item = int_val; + break; + case PLY_UCHAR: + puchar = (unsigned char *) item; + *puchar = uint_val; + break; + case PLY_SHORT: + pshort = (short *) item; + *pshort = int_val; + break; + case PLY_USHORT: + pushort = (unsigned short *) item; + *pushort = uint_val; + break; + case PLY_INT: + pint = (int *) item; + *pint = int_val; + break; + case PLY_UINT: + puint = (unsigned int *) item; + *puint = uint_val; + break; + case PLY_FLOAT: + pfloat = (float *) item; + *pfloat = double_val; + break; + case PLY_DOUBLE: + pdouble = (double *) item; + *pdouble = double_val; + break; + default: + fprintf (stderr, "store_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Add an element to a PLY file descriptor. + +Entry: + plyfile - PLY file descriptor + words - list of words describing the element + nwords - number of words in the list +******************************************************************************/ + +void add_element (PlyFile *plyfile, char **words, int nwords) +{ + PlyElement *elem; + + /* create the new element */ + elem = (PlyElement *) myalloc (sizeof (PlyElement)); + elem->name = strdup (words[1]); + elem->num = atoi (words[2]); + elem->nprops = 0; + + /* make room for new element in the object's list of elements */ + if (plyfile->nelems == 0) + plyfile->elems = (PlyElement **) myalloc (sizeof (PlyElement *)); + else + plyfile->elems = (PlyElement **) realloc (plyfile->elems, + sizeof (PlyElement *) * (plyfile->nelems + 1)); + + /* add the new element to the object's list */ + plyfile->elems[plyfile->nelems] = elem; + plyfile->nelems++; +} + + +/****************************************************************************** +Return the type of a property, given the name of the property. + +Entry: + name - name of property type + +Exit: + returns integer code for property, or 0 if not found +******************************************************************************/ + +int get_prop_type(char *type_name) +{ + int i; + + for (i = PLY_START_TYPE + 1; i < PLY_END_TYPE; i++) + if (equal_strings (type_name, type_names[i])) + return (i); + + /* if we get here, we didn't find the type */ + return (0); +} + + +/****************************************************************************** +Add a property to a PLY file descriptor. + +Entry: + plyfile - PLY file descriptor + words - list of words describing the property + nwords - number of words in the list +******************************************************************************/ + +void add_property (PlyFile *plyfile, char **words, int nwords) +{ + int prop_type; + int count_type; + PlyProperty *prop; + PlyElement *elem; + + /* create the new property */ + + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + + if (equal_strings (words[1], "list")) { /* is a list */ + prop->count_external = get_prop_type (words[2]); + prop->external_type = get_prop_type (words[3]); + prop->name = strdup (words[4]); + prop->is_list = 1; + } + else { /* not a list */ + prop->external_type = get_prop_type (words[1]); + prop->name = strdup (words[2]); + prop->is_list = 0; + } + + /* add this property to the list of properties of the current element */ + + elem = plyfile->elems[plyfile->nelems - 1]; + + if (elem->nprops == 0) + elem->props = (PlyProperty **) myalloc (sizeof (PlyProperty *)); + else + elem->props = (PlyProperty **) realloc (elem->props, + sizeof (PlyProperty *) * (elem->nprops + 1)); + + elem->props[elem->nprops] = prop; + elem->nprops++; +} + + +/****************************************************************************** +Add a comment to a PLY file descriptor. + +Entry: + plyfile - PLY file descriptor + line - line containing comment +******************************************************************************/ + +void add_comment (PlyFile *plyfile, char *line) +{ + int i; + + /* skip over "comment" and leading spaces and tabs */ + i = 7; + while (line[i] == ' ' || line[i] == '\t') + i++; + + ply_put_comment (plyfile, &line[i]); +} + + +/****************************************************************************** +Add a some object information to a PLY file descriptor. + +Entry: + plyfile - PLY file descriptor + line - line containing text info +******************************************************************************/ + +void add_obj_info (PlyFile *plyfile, char *line) +{ + int i; + + /* skip over "obj_info" and leading spaces and tabs */ + i = 8; + while (line[i] == ' ' || line[i] == '\t') + i++; + + ply_put_obj_info (plyfile, &line[i]); +} + + +/****************************************************************************** +Copy a property. +******************************************************************************/ + +void copy_property(PlyProperty *dest, PlyProperty *src) +{ + dest->name = strdup (src->name); + dest->external_type = src->external_type; + dest->internal_type = src->internal_type; + dest->offset = src->offset; + + dest->is_list = src->is_list; + dest->count_external = src->count_external; + dest->count_internal = src->count_internal; + dest->count_offset = src->count_offset; +} + + +/****************************************************************************** +Allocate some memory. + +Entry: + size - amount of memory requested (in bytes) + lnum - line number from which memory was requested + fname - file name from which memory was requested +******************************************************************************/ + +static char *my_alloc(int size, int lnum, char *fname) +{ + char *ptr; + + ptr = (char *) malloc (size); + + if (ptr == 0) { + fprintf(stderr, "Memory allocation bombed on line %d in %s\n", lnum, fname); + } + + return (ptr); +} + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/text-base/plytest.c.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/text-base/plytest.c.svn-base new file mode 100644 index 0000000..2c9f282 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/.svn/text-base/plytest.c.svn-base @@ -0,0 +1,272 @@ +/* + +Sample code showing how to read and write PLY polygon files. + +Greg Turk, March 1994 + +*/ + +#include +#include +#include + +/* user's vertex and face definitions for a polygonal object */ + +typedef struct Vertex { + float x,y,z; /* the usual 3-space position of a vertex */ +} Vertex; + +typedef struct Face { + unsigned char intensity; /* this user attaches intensity to faces */ + unsigned char nverts; /* number of vertex indices in list */ + int *verts; /* vertex index list */ +} Face; + +/* polygon description of an object (a cube) */ + +Vertex verts[] = { /* vertices */ + { 0.0, 0.0, 0.0}, + { 1.0, 0.0, 0.0}, + { 1.0, 1.0, 0.0}, + { 0.0, 1.0, 0.0}, + { 0.0, 0.0, 1.0}, + { 1.0, 0.0, 1.0}, + { 1.0, 1.0, 1.0}, + { 0.0, 1.0, 1.0}, +}; + +Face faces[] = { /* faces */ + { '\001', 4, NULL }, /* intensity, vertex list count, vertex list (empty) */ + { '\004', 4, NULL }, + { '\010', 4, NULL }, + { '\020', 4, NULL }, + { '\144', 4, NULL }, + { '\377', 4, NULL }, +}; + +/* list of vertices for each face */ +/* (notice that indices begin at zero) */ + +typedef int Vertex_Indices[4]; +Vertex_Indices vert_ptrs[] = { + { 0, 1, 2, 3 }, + { 7, 6, 5, 4 }, + { 0, 4, 5, 1 }, + { 1, 5, 6, 2 }, + { 2, 6, 7, 3 }, + { 3, 7, 4, 0 }, +}; + +/* information needed to describe the user's data to the PLY routines */ + +char *elem_names[] = { /* list of the kinds of elements in the user's object */ + "vertex", "face" +}; + +PlyProperty vert_props[] = { /* list of property information for a vertex */ + {"x", PLY_FLOAT, PLY_FLOAT, offsetof(Vertex,x), 0, 0, 0, 0}, + {"y", PLY_FLOAT, PLY_FLOAT, offsetof(Vertex,y), 0, 0, 0, 0}, + {"z", PLY_FLOAT, PLY_FLOAT, offsetof(Vertex,z), 0, 0, 0, 0}, +}; + +PlyProperty face_props[] = { /* list of property information for a vertex */ + {"intensity", PLY_UCHAR, PLY_UCHAR, offsetof(Face,intensity), 0, 0, 0, 0}, + {"vertex_indices", PLY_INT, PLY_INT, offsetof(Face,verts), + 1, PLY_UCHAR, PLY_UCHAR, offsetof(Face,nverts)}, +}; + + + +/****************************************************************************** +The main routine just creates and then reads a PLY file. +******************************************************************************/ + +main() +{ + +#if 1 + /* write a PLY file */ + write_test(); +#endif + +#if 1 + /* read a PLY file */ + read_test(); +#endif + +} + + +/****************************************************************************** +Write out a PLY file. +******************************************************************************/ + +write_test() +{ + int i,j; + PlyFile *ply; + int nelems; + char **elist; + int file_type; + float version; + int nverts = sizeof (verts) / sizeof (Vertex); + int nfaces = sizeof (faces) / sizeof (Face); + + /* create the vertex index lists for the faces */ + for (i = 0; i < nfaces; i++) + faces[i].verts = vert_ptrs[i]; + + /* open either a binary or ascii PLY file for writing */ + /* (the file will be called "test.ply" because the routines */ + /* enforce the .ply filename extension) */ + +#if 1 + ply = ply_open_for_writing("test", 2, elem_names, PLY_ASCII, &version); +#else + ply = ply_open_for_writing("test", 2, elem_names, PLY_BINARY_BE, &version); +#endif + + /* describe what properties go into the vertex and face elements */ + + ply_element_count (ply, "vertex", nverts); + ply_describe_property (ply, "vertex", &vert_props[0]); + ply_describe_property (ply, "vertex", &vert_props[1]); + ply_describe_property (ply, "vertex", &vert_props[2]); + + ply_element_count (ply, "face", nfaces); + ply_describe_property (ply, "face", &face_props[0]); + ply_describe_property (ply, "face", &face_props[1]); + + /* write a comment and an object information field */ + ply_put_comment (ply, "author: Greg Turk"); + ply_put_obj_info (ply, "random information"); + + /* we have described exactly what we will put in the file, so */ + /* we are now done with the header info */ + ply_header_complete (ply); + + /* set up and write the vertex elements */ + ply_put_element_setup (ply, "vertex"); + for (i = 0; i < nverts; i++) + ply_put_element (ply, (void *) &verts[i]); + + /* set up and write the face elements */ + ply_put_element_setup (ply, "face"); + for (i = 0; i < nfaces; i++) + ply_put_element (ply, (void *) &faces[i]); + + /* close the PLY file */ + ply_close (ply); +} + + +/****************************************************************************** +Read in a PLY file. +******************************************************************************/ + +read_test() +{ + int i,j,k; + PlyFile *ply; + int nelems; + char **elist; + int file_type; + float version; + int nprops; + int num_elems; + PlyProperty **plist; + Vertex **vlist; + Face **flist; + char *elem_name; + int num_comments; + char **comments; + int num_obj_info; + char **obj_info; + + /* open a PLY file for reading */ + ply = ply_open_for_reading("test", &nelems, &elist, &file_type, &version); + + /* print what we found out about the file */ + printf ("version %f\n", version); + printf ("type %d\n", file_type); + + /* go through each kind of element that we learned is in the file */ + /* and read them */ + + for (i = 0; i < nelems; i++) { + + /* get the description of the first element */ + elem_name = elist[i]; + plist = ply_get_element_description (ply, elem_name, &num_elems, &nprops); + + /* print the name of the element, for debugging */ + printf ("element %s %d\n", elem_name, num_elems); + + /* if we're on vertex elements, read them in */ + if (equal_strings ("vertex", elem_name)) { + + /* create a vertex list to hold all the vertices */ + vlist = (Vertex **) malloc (sizeof (Vertex *) * num_elems); + + /* set up for getting vertex elements */ + ply_get_property (ply, elem_name, &vert_props[0]); + ply_get_property (ply, elem_name, &vert_props[1]); + ply_get_property (ply, elem_name, &vert_props[2]); + + /* grab all the vertex elements */ + for (j = 0; j < num_elems; j++) { + + /* grab and element from the file */ + vlist[j] = (Vertex *) malloc (sizeof (Vertex)); + ply_get_element (ply, (void *) vlist[j]); + + /* print out vertex x,y,z for debugging */ + printf ("vertex: %g %g %g\n", vlist[j]->x, vlist[j]->y, vlist[j]->z); + } + } + + /* if we're on face elements, read them in */ + if (equal_strings ("face", elem_name)) { + + /* create a list to hold all the face elements */ + flist = (Face **) malloc (sizeof (Face *) * num_elems); + + /* set up for getting face elements */ + + ply_get_property (ply, elem_name, &face_props[0]); + ply_get_property (ply, elem_name, &face_props[1]); + + /* grab all the face elements */ + for (j = 0; j < num_elems; j++) { + + /* grab and element from the file */ + flist[j] = (Face *) malloc (sizeof (Face)); + ply_get_element (ply, (void *) flist[j]); + + /* print out face info, for debugging */ + printf ("face: %d, list = ", flist[j]->intensity); + for (k = 0; k < flist[j]->nverts; k++) + printf ("%d ", flist[j]->verts[k]); + printf ("\n"); + } + } + + /* print out the properties we got, for debugging */ + for (j = 0; j < nprops; j++) + printf ("property %s\n", plist[j]->name); + } + + /* grab and print out the comments in the file */ + comments = ply_get_comments (ply, &num_comments); + for (i = 0; i < num_comments; i++) + printf ("comment = '%s'\n", comments[i]); + + /* grab and print out the object information */ + obj_info = ply_get_obj_info (ply, &num_obj_info); + for (i = 0; i < num_obj_info; i++) + printf ("obj_info = '%s'\n", obj_info[i]); + + /* close the PLY file */ + ply_close (ply); +} + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/ply.c b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/ply.c new file mode 100644 index 0000000..d034f5b --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/ply.c @@ -0,0 +1,3313 @@ +/* + +The interface routines for reading and writing PLY polygon files. + +Greg Turk + +--------------------------------------------------------------- + +A PLY file contains a single polygonal _object_. + +An object is composed of lists of _elements_. Typical elements are +vertices, faces, edges and materials. + +Each type of element for a given object has one or more _properties_ +associated with the element type. For instance, a vertex element may +have as properties the floating-point values x,y,z and the three unsigned +chars representing red, green and blue. + +----------------------------------------------------------------------- + +Copyright (c) 1998 Georgia Institute of Technology. All rights reserved. + +Permission to use, copy, modify and distribute this software and its +documentation for any purpose is hereby granted without fee, provided +that the above copyright notice and this permission notice appear in +all copies of this software and that you do not sell the software. + +THE SOFTWARE IS PROVIDED "AS IS" AND WITHOUT WARRANTY OF ANY KIND, +EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY +WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. + +*/ + +#include +#include +#include +#include +#include "ply.h" + +char *type_names[] = { /* names of scalar types */ +"invalid", +"int8", "int16", "int32", "uint8", "uint16", "uint32", "float32", "float64", +}; + +char *old_type_names[] = { /* old names of types for backward compatability */ +"invalid", +"char", "short", "int", "uchar", "ushort", "uint", "float", "double", +}; + +int ply_type_size[] = { + 0, 1, 2, 4, 1, 2, 4, 4, 8 +}; + +#define NO_OTHER_PROPS -1 + +#define DONT_STORE_PROP 0 +#define STORE_PROP 1 + +#define OTHER_PROP 0 +#define NAMED_PROP 1 + +/* returns 1 if strings are equal, 0 if not */ +int equal_strings(char *, char *); + +/* find an element in a plyfile's list */ +PlyElement *find_element(PlyFile *, char *); + +/* find a property in an element's list */ +PlyProperty *find_property(PlyElement *, char *, int *); + +/* write to a file the word describing a PLY file data type */ +void write_scalar_type (FILE *, int); + +/* read a line from a file and break it up into separate words */ +char **get_words(FILE *, int *, char **); + +/* write an item to a file */ +void write_binary_item(FILE *, int, unsigned int, double, int); +void write_ascii_item(FILE *, int, unsigned int, double, int); + +/* add information to a PLY file descriptor */ +void add_element(PlyFile *, char **, int); +void add_property(PlyFile *, char **, int); +void add_comment(PlyFile *, char *); +void add_obj_info(PlyFile *, char *); + +/* copy a property */ +void copy_property(PlyProperty *, PlyProperty *); + +/* store a value into where a pointer and a type specify */ +void store_item(char *, int, int, unsigned int, double); + +/* return the value of a stored item */ +void get_stored_item( void *, int, int *, unsigned int *, double *); + +/* return the value stored in an item, given ptr to it and its type */ +double get_item_value(char *, int); + +/* get binary or ascii item and store it according to ptr and type */ +void get_ascii_item(char *, int, int *, unsigned int *, double *); +void get_binary_item(FILE *, int, int *, unsigned int *, double *); + +/* get a bunch of elements from a file */ +void ascii_get_element(PlyFile *, char *); +void binary_get_element(PlyFile *, char *); + +/* memory allocation */ +static char *my_alloc(int, int, char *); + + +/*************/ +/* Writing */ +/*************/ + + +/****************************************************************************** +Given a file pointer, get ready to write PLY data to the file. + +Entry: + fp - the given file pointer + nelems - number of elements in object + elem_names - list of element names + file_type - file type, either ascii or binary + +Exit: + returns a pointer to a PlyFile, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *ply_write( + FILE *fp, + int nelems, + char **elem_names, + int file_type +) +{ + int i; + PlyFile *plyfile; + PlyElement *elem; + + /* check for NULL file pointer */ + if (fp == NULL) + return (NULL); + + /* create a record for this object */ + + plyfile = (PlyFile *) myalloc (sizeof (PlyFile)); + plyfile->file_type = file_type; + plyfile->num_comments = 0; + plyfile->num_obj_info = 0; + plyfile->num_elem_types = nelems; + plyfile->version = 1.0; + plyfile->fp = fp; + plyfile->other_elems = NULL; + + /* tuck aside the names of the elements */ + + plyfile->elems = (PlyElement **) myalloc (sizeof (PlyElement *) * nelems); + for (i = 0; i < nelems; i++) { + elem = (PlyElement *) myalloc (sizeof (PlyElement)); + plyfile->elems[i] = elem; + elem->name = strdup (elem_names[i]); + elem->num = 0; + elem->nprops = 0; + } + + /* return pointer to the file descriptor */ + return (plyfile); +} + + +/****************************************************************************** +Open a polygon file for writing. + +Entry: + filename - name of file to read from + nelems - number of elements in object + elem_names - list of element names + file_type - file type, either ascii or binary + +Exit: + returns a file identifier, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *open_for_writing_ply( + char *filename, + int nelems, + char **elem_names, + int file_type +) +{ + int i; + PlyFile *plyfile; + PlyElement *elem; + char *name; + FILE *fp; + + /* tack on the extension .ply, if necessary */ + + name = (char *) myalloc (sizeof (char) * (strlen (filename) + 5)); + strcpy (name, filename); + if (strlen (name) < 4 || + strcmp (name + strlen (name) - 4, ".ply") != 0) + strcat (name, ".ply"); + + /* open the file for writing */ + + fp = fopen (name, "w"); + if (fp == NULL) { + return (NULL); + } + + /* create the actual PlyFile structure */ + + plyfile = ply_write (fp, nelems, elem_names, file_type); + if (plyfile == NULL) + return (NULL); + + /* return pointer to the file descriptor */ + return (plyfile); +} + + +/****************************************************************************** +Describe an element, including its properties and how many will be written +to the file. + +Entry: + plyfile - file identifier + elem_name - name of element that information is being specified about + nelems - number of elements of this type to be written + nprops - number of properties contained in the element + prop_list - list of properties +******************************************************************************/ + +void element_layout_ply( + PlyFile *plyfile, + char *elem_name, + int nelems, + int nprops, + PlyProperty *prop_list +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + + /* look for appropriate element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf(stderr,"element_layout_ply: can't find element '%s'\n",elem_name); + exit (-1); + } + + elem->num = nelems; + + /* copy the list of properties */ + + elem->nprops = nprops; + elem->props = (PlyProperty **) myalloc (sizeof (PlyProperty *) * nprops); + elem->store_prop = (char *) myalloc (sizeof (char) * nprops); + + for (i = 0; i < nprops; i++) { + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + elem->props[i] = prop; + elem->store_prop[i] = NAMED_PROP; + copy_property (prop, &prop_list[i]); + } +} + + +/****************************************************************************** +Describe a property of an element. + +Entry: + plyfile - file identifier + elem_name - name of element that information is being specified about + prop - the new property +******************************************************************************/ + +void ply_describe_property( + PlyFile *plyfile, + char *elem_name, + PlyProperty *prop +) +{ + PlyElement *elem; + PlyProperty *elem_prop; + + /* look for appropriate element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf(stderr, "ply_describe_property: can't find element '%s'\n", + elem_name); + return; + } + + /* create room for new property */ + + if (elem->nprops == 0) { + elem->props = (PlyProperty **) myalloc (sizeof (PlyProperty *)); + elem->store_prop = (char *) myalloc (sizeof (char)); + elem->nprops = 1; + } + else { + elem->nprops++; + elem->props = (PlyProperty **) + realloc (elem->props, sizeof (PlyProperty *) * elem->nprops); + elem->store_prop = (char *) + realloc (elem->store_prop, sizeof (char) * elem->nprops); + } + + /* copy the new property */ + + elem_prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + elem->props[elem->nprops - 1] = elem_prop; + elem->store_prop[elem->nprops - 1] = NAMED_PROP; + copy_property (elem_prop, prop); +} + + +/****************************************************************************** +State how many of a given element will be written. + +Entry: + plyfile - file identifier + elem_name - name of element that information is being specified about + nelems - number of elements of this type to be written +******************************************************************************/ + +void element_count_ply( + PlyFile *plyfile, + char *elem_name, + int nelems +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + + /* look for appropriate element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf(stderr,"element_count_ply: can't find element '%s'\n",elem_name); + exit (-1); + } + + elem->num = nelems; +} + + +/****************************************************************************** +Signal that we've described everything a PLY file's header and that the +header should be written to the file. + +Entry: + plyfile - file identifier +******************************************************************************/ + +void header_complete_ply(PlyFile *plyfile) +{ + int i,j; + FILE *fp = plyfile->fp; + PlyElement *elem; + PlyProperty *prop; + + fprintf (fp, "ply\n"); + + switch (plyfile->file_type) { + case PLY_ASCII: + fprintf (fp, "format ascii 1.0\n"); + break; + case PLY_BINARY_BE: + fprintf (fp, "format binary_big_endian 1.0\n"); + break; + case PLY_BINARY_LE: + fprintf (fp, "format binary_little_endian 1.0\n"); + break; + default: + fprintf (stderr, "ply_header_complete: bad file type = %d\n", + plyfile->file_type); + exit (-1); + } + + /* write out the comments */ + + for (i = 0; i < plyfile->num_comments; i++) + fprintf (fp, "comment %s\n", plyfile->comments[i]); + + /* write out object information */ + + for (i = 0; i < plyfile->num_obj_info; i++) + fprintf (fp, "obj_info %s\n", plyfile->obj_info[i]); + + /* write out information about each element */ + + for (i = 0; i < plyfile->num_elem_types; i++) { + + elem = plyfile->elems[i]; + fprintf (fp, "element %s %d\n", elem->name, elem->num); + + /* write out each property */ + for (j = 0; j < elem->nprops; j++) { + prop = elem->props[j]; + if (prop->is_list == PLY_LIST) { + fprintf (fp, "property list "); + write_scalar_type (fp, prop->count_external); + fprintf (fp, " "); + write_scalar_type (fp, prop->external_type); + fprintf (fp, " %s\n", prop->name); + } + else if (prop->is_list == PLY_STRING) { + fprintf (fp, "property string"); + fprintf (fp, " %s\n", prop->name); + } + else { + fprintf (fp, "property "); + write_scalar_type (fp, prop->external_type); + fprintf (fp, " %s\n", prop->name); + } + } + } + + fprintf (fp, "end_header\n"); +} + + +/****************************************************************************** +Specify which elements are going to be written. This should be called +before a call to the routine ply_put_element(). + +Entry: + plyfile - file identifier + elem_name - name of element we're talking about +******************************************************************************/ + +void put_element_setup_ply(PlyFile *plyfile, char *elem_name) +{ + PlyElement *elem; + + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf(stderr, "put_element_setup_ply: can't find element '%s'\n", elem_name); + exit (-1); + } + + plyfile->which_elem = elem; +} + + +/****************************************************************************** +Write an element to the file. This routine assumes that we're +writing the type of element specified in the last call to the routine +put_element_setup_ply(). + +Entry: + plyfile - file identifier + elem_ptr - pointer to the element +******************************************************************************/ + +void put_element_ply(PlyFile *plyfile, void *elem_ptr) +{ + int i,j,k; + FILE *fp = plyfile->fp; + PlyElement *elem; + PlyProperty *prop; + char *item; + char *elem_data; + char **item_ptr; + int list_count; + int item_size; + int int_val; + unsigned int uint_val; + double double_val; + char **other_ptr; + + elem = plyfile->which_elem; + elem_data = (char *) elem_ptr; + other_ptr = (char **) (((char *) elem_ptr) + elem->other_offset); + + /* write out either to an ascii or binary file */ + + if (plyfile->file_type == PLY_ASCII) { + + /* write an ascii file */ + + /* write out each property of the element */ + for (j = 0; j < elem->nprops; j++) { + + prop = elem->props[j]; + + if (elem->store_prop[j] == OTHER_PROP) + elem_data = *other_ptr; + else + elem_data = (char *) elem_ptr; + + if (prop->is_list == PLY_LIST) { /* list */ + item = elem_data + prop->count_offset; + get_stored_item ((void *) item, prop->count_internal, + &int_val, &uint_val, &double_val); + write_ascii_item (fp, int_val, uint_val, double_val, + prop->count_external); + list_count = uint_val; + item_ptr = (char **) (elem_data + prop->offset); + item = item_ptr[0]; + item_size = ply_type_size[prop->internal_type]; + for (k = 0; k < list_count; k++) { + get_stored_item ((void *) item, prop->internal_type, + &int_val, &uint_val, &double_val); + write_ascii_item (fp, int_val, uint_val, double_val, + prop->external_type); + item += item_size; + } + } + else if (prop->is_list == PLY_STRING) { /* string */ + char **str; + item = elem_data + prop->offset; + str = (char **) item; + fprintf (fp, "\"%s\"", *str); + } + else { /* scalar */ + item = elem_data + prop->offset; + get_stored_item ((void *) item, prop->internal_type, + &int_val, &uint_val, &double_val); + write_ascii_item (fp, int_val, uint_val, double_val, + prop->external_type); + } + } + + fprintf (fp, "\n"); + } + else { + + /* write a binary file */ + + /* write out each property of the element */ + for (j = 0; j < elem->nprops; j++) { + prop = elem->props[j]; + if (elem->store_prop[j] == OTHER_PROP) + elem_data = *other_ptr; + else + elem_data = (char *) elem_ptr; + if (prop->is_list == PLY_LIST) { /* list */ + item = elem_data + prop->count_offset; + item_size = ply_type_size[prop->count_internal]; + get_stored_item ((void *) item, prop->count_internal, + &int_val, &uint_val, &double_val); + write_binary_item (fp, int_val, uint_val, double_val, + prop->count_external); + list_count = uint_val; + item_ptr = (char **) (elem_data + prop->offset); + item = item_ptr[0]; + item_size = ply_type_size[prop->internal_type]; + for (k = 0; k < list_count; k++) { + get_stored_item ((void *) item, prop->internal_type, + &int_val, &uint_val, &double_val); + write_binary_item (fp, int_val, uint_val, double_val, + prop->external_type); + item += item_size; + } + } + else if (prop->is_list == PLY_STRING) { /* string */ + int len; + char **str; + item = elem_data + prop->offset; + str = (char **) item; + + /* write the length */ + len = strlen(*str) + 1; + fwrite (&len, sizeof(int), 1, fp); + + /* write the string, including the null character */ + fwrite (*str, len, 1, fp); + } + else { /* scalar */ + item = elem_data + prop->offset; + item_size = ply_type_size[prop->internal_type]; + get_stored_item ((void *) item, prop->internal_type, + &int_val, &uint_val, &double_val); + write_binary_item (fp, int_val, uint_val, double_val, + prop->external_type); + } + } + + } +} + + + + + + +/*************/ +/* Reading */ +/*************/ + + + +/****************************************************************************** +Given a file pointer, get ready to read PLY data from the file. + +Entry: + fp - the given file pointer + +Exit: + nelems - number of elements in object + elem_names - list of element names + returns a pointer to a PlyFile, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *ply_read(FILE *fp, int *nelems, char ***elem_names) +{ + int i,j; + PlyFile *plyfile; + int nwords; + char **words; + int found_format = 0; + char **elist; + PlyElement *elem; + char *orig_line; + + /* check for NULL file pointer */ + if (fp == NULL) + return (NULL); + + /* create record for this object */ + + plyfile = (PlyFile *) myalloc (sizeof (PlyFile)); + plyfile->num_elem_types = 0; + plyfile->comments = NULL; + plyfile->num_comments = 0; + plyfile->obj_info = NULL; + plyfile->num_obj_info = 0; + plyfile->fp = fp; + plyfile->other_elems = NULL; + plyfile->rule_list = NULL; + + /* read and parse the file's header */ + + words = get_words (plyfile->fp, &nwords, &orig_line); + if (!words || !equal_strings (words[0], "ply")) + return (NULL); + + while (words) { + + /* parse words */ + + if (equal_strings (words[0], "format")) { + if (nwords != 3) + return (NULL); + if (equal_strings (words[1], "ascii")) + plyfile->file_type = PLY_ASCII; + else if (equal_strings (words[1], "binary_big_endian")) + plyfile->file_type = PLY_BINARY_BE; + else if (equal_strings (words[1], "binary_little_endian")) + plyfile->file_type = PLY_BINARY_LE; + else + return (NULL); + plyfile->version = atof (words[2]); + found_format = 1; + } + else if (equal_strings (words[0], "element")) + add_element (plyfile, words, nwords); + else if (equal_strings (words[0], "property")) + add_property (plyfile, words, nwords); + else if (equal_strings (words[0], "comment")) + add_comment (plyfile, orig_line); + else if (equal_strings (words[0], "obj_info")) + add_obj_info (plyfile, orig_line); + else if (equal_strings (words[0], "end_header")) + break; + + /* free up words space */ + free (words); + + words = get_words (plyfile->fp, &nwords, &orig_line); + } + + /* create tags for each property of each element, to be used */ + /* later to say whether or not to store each property for the user */ + + for (i = 0; i < plyfile->num_elem_types; i++) { + elem = plyfile->elems[i]; + elem->store_prop = (char *) myalloc (sizeof (char) * elem->nprops); + for (j = 0; j < elem->nprops; j++) + elem->store_prop[j] = DONT_STORE_PROP; + elem->other_offset = NO_OTHER_PROPS; /* no "other" props by default */ + } + + /* set return values about the elements */ + + elist = (char **) myalloc (sizeof (char *) * plyfile->num_elem_types); + for (i = 0; i < plyfile->num_elem_types; i++) + elist[i] = strdup (plyfile->elems[i]->name); + + *elem_names = elist; + *nelems = plyfile->num_elem_types; + + /* return a pointer to the file's information */ + + return (plyfile); +} + + +/****************************************************************************** +Open a polygon file for reading. + +Entry: + filename - name of file to read from + +Exit: + nelems - number of elements in object + elem_names - list of element names + file_type - file type, either ascii or binary + version - version number of PLY file + returns a file identifier, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *ply_open_for_reading( + char *filename, + int *nelems, + char ***elem_names, + int *file_type, + float *version +) +{ + FILE *fp; + PlyFile *plyfile; + char *name; + + /* tack on the extension .ply, if necessary */ + + name = (char *) myalloc (sizeof (char) * (strlen (filename) + 5)); + strcpy (name, filename); + if (strlen (name) < 4 || + strcmp (name + strlen (name) - 4, ".ply") != 0) + strcat (name, ".ply"); + + /* open the file for reading */ + + fp = fopen (name, "r"); + if (fp == NULL) + return (NULL); + + /* create the PlyFile data structure */ + + plyfile = ply_read (fp, nelems, elem_names); + + /* determine the file type and version */ + + *file_type = plyfile->file_type; + *version = plyfile->version; + + /* return a pointer to the file's information */ + + return (plyfile); +} + + +/****************************************************************************** +Get information about a particular element. + +Entry: + plyfile - file identifier + elem_name - name of element to get information about + +Exit: + nelems - number of elements of this type in the file + nprops - number of properties + returns a list of properties, or NULL if the file doesn't contain that elem +******************************************************************************/ + +PlyProperty **get_element_description_ply( + PlyFile *plyfile, + char *elem_name, + int *nelems, + int *nprops +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + PlyProperty **prop_list; + + /* find information about the element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) + return (NULL); + + *nelems = elem->num; + *nprops = elem->nprops; + + /* make a copy of the element's property list */ + prop_list = (PlyProperty **) myalloc (sizeof (PlyProperty *) * elem->nprops); + for (i = 0; i < elem->nprops; i++) { + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + copy_property (prop, elem->props[i]); + prop_list[i] = prop; + } + + /* return this duplicate property list */ + return (prop_list); +} + + +/****************************************************************************** +Specify which properties of an element are to be returned. This should be +called before a call to the routine get_element_ply(). + +Entry: + plyfile - file identifier + elem_name - which element we're talking about + nprops - number of properties + prop_list - list of properties +******************************************************************************/ + +void get_element_setup_ply( + PlyFile *plyfile, + char *elem_name, + int nprops, + PlyProperty *prop_list +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + int index; + + /* find information about the element */ + elem = find_element (plyfile, elem_name); + plyfile->which_elem = elem; + + /* deposit the property information into the element's description */ + for (i = 0; i < nprops; i++) { + + /* look for actual property */ + prop = find_property (elem, prop_list[i].name, &index); + if (prop == NULL) { + fprintf (stderr, "Warning: Can't find property '%s' in element '%s'\n", + prop_list[i].name, elem_name); + continue; + } + + /* store its description */ + prop->internal_type = prop_list[i].internal_type; + prop->offset = prop_list[i].offset; + prop->count_internal = prop_list[i].count_internal; + prop->count_offset = prop_list[i].count_offset; + + /* specify that the user wants this property */ + elem->store_prop[index] = STORE_PROP; + } +} + + +/****************************************************************************** +Specify a property of an element that is to be returned. This should be +called (usually multiple times) before a call to the routine ply_get_element(). +This routine should be used in preference to the less flexible old routine +called ply_get_element_setup(). + +Entry: + plyfile - file identifier + elem_name - which element we're talking about + prop - property to add to those that will be returned +******************************************************************************/ + +void ply_get_property( + PlyFile *plyfile, + char *elem_name, + PlyProperty *prop +) +{ + PlyElement *elem; + PlyProperty *prop_ptr; + int index; + + /* find information about the element */ + elem = find_element (plyfile, elem_name); + plyfile->which_elem = elem; + + /* deposit the property information into the element's description */ + + prop_ptr = find_property (elem, prop->name, &index); + if (prop_ptr == NULL) { + fprintf (stderr, "Warning: Can't find property '%s' in element '%s'\n", + prop->name, elem_name); + return; + } + prop_ptr->internal_type = prop->internal_type; + prop_ptr->offset = prop->offset; + prop_ptr->count_internal = prop->count_internal; + prop_ptr->count_offset = prop->count_offset; + + /* specify that the user wants this property */ + elem->store_prop[index] = STORE_PROP; +} + + +/****************************************************************************** +Read one element from the file. This routine assumes that we're reading +the type of element specified in the last call to the routine +ply_get_element_setup(). + +Entry: + plyfile - file identifier + elem_ptr - pointer to location where the element information should be put +******************************************************************************/ + +void ply_get_element(PlyFile *plyfile, void *elem_ptr) +{ + if (plyfile->file_type == PLY_ASCII) + ascii_get_element (plyfile, (char *) elem_ptr); + else + binary_get_element (plyfile, (char *) elem_ptr); +} + + +/****************************************************************************** +Extract the comments from the header information of a PLY file. + +Entry: + plyfile - file identifier + +Exit: + num_comments - number of comments returned + returns a pointer to a list of comments +******************************************************************************/ + +char **get_comments_ply(PlyFile *plyfile, int *num_comments) +{ + *num_comments = plyfile->num_comments; + return (plyfile->comments); +} + + +/****************************************************************************** +Extract the object information (arbitrary text) from the header information +of a PLY file. + +Entry: + plyfile - file identifier + +Exit: + num_obj_info - number of lines of text information returned + returns a pointer to a list of object info lines +******************************************************************************/ + +char **get_obj_info_ply(PlyFile *plyfile, int *num_obj_info) +{ + *num_obj_info = plyfile->num_obj_info; + return (plyfile->obj_info); +} + + +/****************************************************************************** +Make ready for "other" properties of an element-- those properties that +the user has not explicitly asked for, but that are to be stashed away +in a special structure to be carried along with the element's other +information. + +Entry: + plyfile - file identifier + elem - element for which we want to save away other properties +******************************************************************************/ + +void setup_other_props(PlyFile *plyfile, PlyElement *elem) +{ + int i; + PlyProperty *prop; + int size = 0; + int type_size; + + /* Examine each property in decreasing order of size. */ + /* We do this so that all data types will be aligned by */ + /* word, half-word, or whatever within the structure. */ + + for (type_size = 8; type_size > 0; type_size /= 2) { + + /* add up the space taken by each property, and save this information */ + /* away in the property descriptor */ + + for (i = 0; i < elem->nprops; i++) { + + /* don't bother with properties we've been asked to store explicitly */ + if (elem->store_prop[i]) + continue; + + prop = elem->props[i]; + + /* internal types will be same as external */ + prop->internal_type = prop->external_type; + prop->count_internal = prop->count_external; + + /* list case */ + if (prop->is_list == PLY_LIST) { + + /* pointer to list */ + if (type_size == sizeof (void *)) { + prop->offset = size; + size += sizeof (void *); /* always use size of a pointer here */ + } + + /* count of number of list elements */ + if (type_size == ply_type_size[prop->count_external]) { + prop->count_offset = size; + size += ply_type_size[prop->count_external]; + } + } + /* string */ + else if (prop->is_list == PLY_STRING) { + /* pointer to string */ + if (type_size == sizeof (char *)) { + prop->offset = size; + size += sizeof (char *); + } + } + /* scalar */ + else if (type_size == ply_type_size[prop->external_type]) { + prop->offset = size; + size += ply_type_size[prop->external_type]; + } + } + + } + + /* save the size for the other_props structure */ + elem->other_size = size; +} + + +/****************************************************************************** +Specify that we want the "other" properties of an element to be tucked +away within the user's structure. + +Entry: + plyfile - file identifier + elem - the element that we want to store other_props in + offset - offset to where other_props will be stored inside user's structure + +Exit: + returns pointer to structure containing description of other_props +******************************************************************************/ + +static PlyOtherProp *get_other_properties( + PlyFile *plyfile, + PlyElement *elem, + int offset +) +{ + int i; + PlyOtherProp *other; + PlyProperty *prop; + int nprops; + + /* remember that this is the "current" element */ + plyfile->which_elem = elem; + + /* save the offset to where to store the other_props */ + elem->other_offset = offset; + + /* place the appropriate pointers, etc. in the element's property list */ + setup_other_props (plyfile, elem); + + /* create structure for describing other_props */ + other = (PlyOtherProp *) myalloc (sizeof (PlyOtherProp)); + other->name = strdup (elem->name); +#if 0 + if (elem->other_offset == NO_OTHER_PROPS) { + other->size = 0; + other->props = NULL; + other->nprops = 0; + return (other); + } +#endif + other->size = elem->other_size; + other->props = (PlyProperty **) myalloc (sizeof(PlyProperty) * elem->nprops); + + /* save descriptions of each "other" property */ + nprops = 0; + for (i = 0; i < elem->nprops; i++) { + if (elem->store_prop[i]) + continue; + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + copy_property (prop, elem->props[i]); + other->props[nprops] = prop; + nprops++; + } + other->nprops = nprops; + + /* set other_offset pointer appropriately if there are NO other properties */ + if (other->nprops == 0) { + elem->other_offset = NO_OTHER_PROPS; + } + + /* return structure */ + return (other); +} + + +/****************************************************************************** +Specify that we want the "other" properties of an element to be tucked +away within the user's structure. The user needn't be concerned for how +these properties are stored. + +Entry: + plyfile - file identifier + elem_name - name of element that we want to store other_props in + offset - offset to where other_props will be stored inside user's structure + +Exit: + returns pointer to structure containing description of other_props +******************************************************************************/ + +PlyOtherProp *ply_get_other_properties( + PlyFile *plyfile, + char *elem_name, + int offset +) +{ + PlyElement *elem; + PlyOtherProp *other; + + /* find information about the element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf (stderr, "ply_get_other_properties: Can't find element '%s'\n", + elem_name); + return (NULL); + } + + other = get_other_properties (plyfile, elem, offset); + return (other); +} + + + + +/*************************/ +/* Other Element Stuff */ +/*************************/ + + + + + +/****************************************************************************** +Grab all the data for the current element that a user does not want to +explicitly read in. Stores this in the PLY object's data structure. + +Entry: + plyfile - pointer to file + +Exit: + returns pointer to ALL the "other" element data for this PLY file +******************************************************************************/ + +PlyOtherElems *get_other_element_ply (PlyFile *plyfile) +{ + int i; + PlyElement *elem; + char *elem_name; + int elem_count; + PlyOtherElems *other_elems; + OtherElem *other; + + elem = plyfile->which_elem; + elem_name = elem->name; + elem_count = elem->num; + + /* create room for the new "other" element, initializing the */ + /* other data structure if necessary */ + + if (plyfile->other_elems == NULL) { + plyfile->other_elems = (PlyOtherElems *) myalloc (sizeof (PlyOtherElems)); + other_elems = plyfile->other_elems; + other_elems->other_list = (OtherElem *) myalloc (sizeof (OtherElem)); + other = &(other_elems->other_list[0]); + other_elems->num_elems = 1; + } + else { + other_elems = plyfile->other_elems; + other_elems->other_list = (OtherElem *) realloc (other_elems->other_list, + sizeof (OtherElem) * other_elems->num_elems + 1); + other = &(other_elems->other_list[other_elems->num_elems]); + other_elems->num_elems++; + } + + /* count of element instances in file */ + other->elem_count = elem_count; + + /* save name of element */ + other->elem_name = strdup (elem_name); + + /* create a list to hold all the current elements */ + other->other_data = (OtherData **) + malloc (sizeof (OtherData *) * other->elem_count); + + /* set up for getting elements */ + other->other_props = ply_get_other_properties (plyfile, elem_name, + offsetof(OtherData,other_props)); + + /* grab all these elements */ + for (i = 0; i < other->elem_count; i++) { + /* grab and element from the file */ + other->other_data[i] = (OtherData *) malloc (sizeof (OtherData)); + ply_get_element (plyfile, (void *) other->other_data[i]); + } + + /* return pointer to the other elements data */ + return (other_elems); +} + + +/****************************************************************************** +Write out the "other" elements specified for this PLY file. + +Entry: + plyfile - pointer to PLY file to write out other elements for +******************************************************************************/ + +void put_other_elements_ply (PlyFile *plyfile) +{ + int i,j; + OtherElem *other; + + /* make sure we have other elements to write */ + if (plyfile->other_elems == NULL) + return; + + /* write out the data for each "other" element */ + + for (i = 0; i < plyfile->other_elems->num_elems; i++) { + + other = &(plyfile->other_elems->other_list[i]); + put_element_setup_ply (plyfile, other->elem_name); + + /* write out each instance of the current element */ + for (j = 0; j < other->elem_count; j++) + put_element_ply (plyfile, (void *) other->other_data[j]); + } +} + + +/****************************************************************************** +Free up storage used by an "other" elements data structure. + +Entry: + other_elems - data structure to free up +******************************************************************************/ + +void free_other_elements_ply (PlyOtherElems *other_elems) +{ + +} + + + +/*******************/ +/* Miscellaneous */ +/*******************/ + + + +/****************************************************************************** +Close a PLY file. + +Entry: + plyfile - identifier of file to close +******************************************************************************/ + +void ply_close(PlyFile *plyfile) +{ + fclose (plyfile->fp); + + /* free up memory associated with the PLY file */ + free (plyfile); +} + + +/****************************************************************************** +Get version number and file type of a PlyFile. + +Entry: + ply - pointer to PLY file + +Exit: + version - version of the file + file_type - PLY_ASCII, PLY_BINARY_BE, or PLY_BINARY_LE +******************************************************************************/ + +void get_info_ply(PlyFile *ply, float *version, int *file_type) +{ + if (ply == NULL) + return; + + *version = ply->version; + *file_type = ply->file_type; +} + + +/****************************************************************************** +Compare two strings. Returns 1 if they are the same, 0 if not. +******************************************************************************/ + +int equal_strings(char *s1, char *s2) +{ + int i; + + while (*s1 && *s2) + if (*s1++ != *s2++) + return (0); + + if (*s1 != *s2) + return (0); + else + return (1); +} + + +/****************************************************************************** +Re-create the command line that was used to invoke this program. + +Entry: + argc - number of words in argv + argv - array of words in command line +******************************************************************************/ + +char *recreate_command_line (int argc, char *argv[]) +{ + int i; + char *line; + int len = 0; + + /* count total number of characters needed, including separating spaces */ + for (i = 0; i < argc; i++) + len += strlen(argv[i]) + 1; + + /* create empty line */ + line = (char *) malloc (sizeof(char) * len); + line[0] = '\0'; + + /* repeatedly append argv */ + for (i = 0; i < argc; i++) { + strcat (line, argv[i]); + if (i != argc - 1) + strcat (line, " "); + } + + return (line); +} + + +/****************************************************************************** +Find an element from the element list of a given PLY object. + +Entry: + plyfile - file id for PLY file + element - name of element we're looking for + +Exit: + returns the element, or NULL if not found +******************************************************************************/ + +PlyElement *find_element(PlyFile *plyfile, char *element) +{ + int i; + + for (i = 0; i < plyfile->num_elem_types; i++) + if (equal_strings (element, plyfile->elems[i]->name)) + return (plyfile->elems[i]); + + return (NULL); +} + + +/****************************************************************************** +Find a property in the list of properties of a given element. + +Entry: + elem - pointer to element in which we want to find the property + prop_name - name of property to find + +Exit: + index - index to position in list + returns a pointer to the property, or NULL if not found +******************************************************************************/ + +PlyProperty *find_property(PlyElement *elem, char *prop_name, int *index) +{ + int i; + + for (i = 0; i < elem->nprops; i++) + if (equal_strings (prop_name, elem->props[i]->name)) { + *index = i; + return (elem->props[i]); + } + + *index = -1; + return (NULL); +} + + +/****************************************************************************** +Read an element from an ascii file. + +Entry: + plyfile - file identifier + elem_ptr - pointer to element +******************************************************************************/ + +void ascii_get_element(PlyFile *plyfile, char *elem_ptr) +{ + int i,j,k; + PlyElement *elem; + PlyProperty *prop; + char **words; + int nwords; + int which_word; + FILE *fp = plyfile->fp; + char *elem_data,*item; + char *item_ptr; + int item_size; + int int_val; + unsigned int uint_val; + double double_val; + int list_count; + int store_it; + char **store_array; + char *orig_line; + char *other_data; + int other_flag; + + /* the kind of element we're reading currently */ + elem = plyfile->which_elem; + + /* do we need to setup for other_props? */ + + if (elem->other_offset != NO_OTHER_PROPS) { + char **ptr; + other_flag = 1; + /* make room for other_props */ + other_data = (char *) myalloc (elem->other_size); + /* store pointer in user's structure to the other_props */ + ptr = (char **) (elem_ptr + elem->other_offset); + *ptr = other_data; + } + else + other_flag = 0; + + /* read in the element */ + + words = get_words (plyfile->fp, &nwords, &orig_line); + if (words == NULL) { + fprintf (stderr, "ply_get_element: unexpected end of file\n"); + exit (-1); + } + + which_word = 0; + + for (j = 0; j < elem->nprops; j++) { + + prop = elem->props[j]; + store_it = (elem->store_prop[j] | other_flag); + + /* store either in the user's structure or in other_props */ + if (elem->store_prop[j]) + elem_data = elem_ptr; + else + elem_data = other_data; + + if (prop->is_list == PLY_LIST) { /* a list */ + + /* get and store the number of items in the list */ + get_ascii_item (words[which_word++], prop->count_external, + &int_val, &uint_val, &double_val); + if (store_it) { + item = elem_data + prop->count_offset; + store_item(item, prop->count_internal, int_val, uint_val, double_val); + } + + /* allocate space for an array of items and store a ptr to the array */ + list_count = int_val; + item_size = ply_type_size[prop->internal_type]; + store_array = (char **) (elem_data + prop->offset); + + if (list_count == 0) { + if (store_it) + *store_array = NULL; + } + else { + if (store_it) { + item_ptr = (char *) myalloc (sizeof (char) * item_size * list_count); + item = item_ptr; + *store_array = item_ptr; + } + + /* read items and store them into the array */ + for (k = 0; k < list_count; k++) { + get_ascii_item (words[which_word++], prop->external_type, + &int_val, &uint_val, &double_val); + if (store_it) { + store_item (item, prop->internal_type, + int_val, uint_val, double_val); + item += item_size; + } + } + } + + } + else if (prop->is_list == PLY_STRING) { /* a string */ + if (store_it) { + char *str; + char **str_ptr; + str = strdup (words[which_word++]); + item = elem_data + prop->offset; + str_ptr = (char **) item; + *str_ptr = str; + } + else { + which_word++; + } + } + else { /* a scalar */ + get_ascii_item (words[which_word++], prop->external_type, + &int_val, &uint_val, &double_val); + if (store_it) { + item = elem_data + prop->offset; + store_item (item, prop->internal_type, int_val, uint_val, double_val); + } + } + + } + + free (words); +} + + +/****************************************************************************** +Read an element from a binary file. + +Entry: + plyfile - file identifier + elem_ptr - pointer to an element +******************************************************************************/ + +void binary_get_element(PlyFile *plyfile, char *elem_ptr) +{ + int i,j,k; + PlyElement *elem; + PlyProperty *prop; + FILE *fp = plyfile->fp; + char *elem_data; + char *item; + char *item_ptr; + int item_size; + int int_val; + unsigned int uint_val; + double double_val; + int list_count; + int store_it; + char **store_array; + char *other_data; + int other_flag; + + /* the kind of element we're reading currently */ + elem = plyfile->which_elem; + + /* do we need to setup for other_props? */ + + if (elem->other_offset != NO_OTHER_PROPS) { + char **ptr; + other_flag = 1; + /* make room for other_props */ + other_data = (char *) myalloc (elem->other_size); + /* store pointer in user's structure to the other_props */ + ptr = (char **) (elem_ptr + elem->other_offset); + *ptr = other_data; + } + else + other_flag = 0; + + /* read in a number of elements */ + + for (j = 0; j < elem->nprops; j++) { + + prop = elem->props[j]; + store_it = (elem->store_prop[j] | other_flag); + + /* store either in the user's structure or in other_props */ + if (elem->store_prop[j]) + elem_data = elem_ptr; + else + elem_data = other_data; + + if (prop->is_list == PLY_LIST) { /* list */ + + /* get and store the number of items in the list */ + get_binary_item (fp, prop->count_external, + &int_val, &uint_val, &double_val); + if (store_it) { + item = elem_data + prop->count_offset; + store_item(item, prop->count_internal, int_val, uint_val, double_val); + } + + /* allocate space for an array of items and store a ptr to the array */ + list_count = int_val; + item_size = ply_type_size[prop->internal_type]; + store_array = (char **) (elem_data + prop->offset); + if (list_count == 0) { + if (store_it) + *store_array = NULL; + } + else { + if (store_it) { + item_ptr = (char *) myalloc (sizeof (char) * item_size * list_count); + item = item_ptr; + *store_array = item_ptr; + } + + /* read items and store them into the array */ + for (k = 0; k < list_count; k++) { + get_binary_item (fp, prop->external_type, + &int_val, &uint_val, &double_val); + if (store_it) { + store_item (item, prop->internal_type, + int_val, uint_val, double_val); + item += item_size; + } + } + } + + } + else if (prop->is_list == PLY_STRING) { /* string */ + int len; + char *str; + fread (&len, sizeof(int), 1, fp); + str = (char *) myalloc (len); + fread (str, len, 1, fp); + if (store_it) { + char **str_ptr; + item = elem_data + prop->offset; + str_ptr = (char **) item; + *str_ptr = str; + } + } + else { /* scalar */ + get_binary_item (fp, prop->external_type, + &int_val, &uint_val, &double_val); + if (store_it) { + item = elem_data + prop->offset; + store_item (item, prop->internal_type, int_val, uint_val, double_val); + } + } + + } +} + + +/****************************************************************************** +Write to a file the word that represents a PLY data type. + +Entry: + fp - file pointer + code - code for type +******************************************************************************/ + +void write_scalar_type (FILE *fp, int code) +{ + /* make sure this is a valid code */ + + if (code <= StartType || code >= EndType) { + fprintf (stderr, "write_scalar_type: bad data code = %d\n", code); + exit (-1); + } + + /* write the code to a file */ + + fprintf (fp, "%s", type_names[code]); +} + + +/****************************************************************************** +Get a text line from a file and break it up into words. + +IMPORTANT: The calling routine should call "free" on the returned pointer once +finished with it. + +Entry: + fp - file to read from + +Exit: + nwords - number of words returned + orig_line - the original line of characters + returns a list of words from the line, or NULL if end-of-file +******************************************************************************/ + +char **get_words(FILE *fp, int *nwords, char **orig_line) +{ +#define BIG_STRING 4096 + int i,j; + static char str[BIG_STRING]; + static char str_copy[BIG_STRING]; + char **words; + int max_words = 10; + int num_words = 0; + char *ptr,*ptr2; + char *result; + + words = (char **) myalloc (sizeof (char *) * max_words); + + /* read in a line */ + result = fgets (str, BIG_STRING, fp); + if (result == NULL) { + *nwords = 0; + *orig_line = NULL; + return (NULL); + } + + /* convert line-feed and tabs into spaces */ + /* (this guarentees that there will be a space before the */ + /* null character at the end of the string) */ + + str[BIG_STRING-2] = ' '; + str[BIG_STRING-1] = '\0'; + + for (ptr = str, ptr2 = str_copy; *ptr != '\0'; ptr++, ptr2++) { + *ptr2 = *ptr; + if (*ptr == '\t') { + *ptr = ' '; + *ptr2 = ' '; + } + else if (*ptr == '\n') { + *ptr = ' '; + *ptr2 = '\0'; + break; + } + } + + /* find the words in the line */ + + ptr = str; + while (*ptr != '\0') { + + /* jump over leading spaces */ + while (*ptr == ' ') + ptr++; + + /* break if we reach the end */ + if (*ptr == '\0') + break; + + /* allocate more room for words if necessary */ + if (num_words >= max_words) { + max_words += 10; + words = (char **) realloc (words, sizeof (char *) * max_words); + } + + if (*ptr == '\"') { /* a quote indidicates that we have a string */ + + /* skip over leading quote */ + ptr++; + + /* save pointer to beginning of word */ + words[num_words++] = ptr; + + /* find trailing quote or end of line */ + while (*ptr != '\"' && *ptr != '\0') + ptr++; + + /* replace quote with a null character to mark the end of the word */ + /* if we are not already at the end of the line */ + if (*ptr != '\0') + *ptr++ = '\0'; + } + else { /* non-string */ + + /* save pointer to beginning of word */ + words[num_words++] = ptr; + + /* jump over non-spaces */ + while (*ptr != ' ') + ptr++; + + /* place a null character here to mark the end of the word */ + *ptr++ = '\0'; + } + } + + /* return the list of words */ + *nwords = num_words; + *orig_line = str_copy; + return (words); +} + + +/****************************************************************************** +Return the value of an item, given a pointer to it and its type. + +Entry: + item - pointer to item + type - data type that "item" points to + +Exit: + returns a double-precision float that contains the value of the item +******************************************************************************/ + +double get_item_value(char *item, int type) +{ + unsigned char *puchar; + char *pchar; + short int *pshort; + unsigned short int *pushort; + int *pint; + unsigned int *puint; + float *pfloat; + double *pdouble; + int int_value; + unsigned int uint_value; + double double_value; + + switch (type) { + case Int8: + pchar = (char *) item; + int_value = *pchar; + return ((double) int_value); + case Uint8: + puchar = (unsigned char *) item; + int_value = *puchar; + return ((double) int_value); + case Int16: + pshort = (short int *) item; + int_value = *pshort; + return ((double) int_value); + case Uint16: + pushort = (unsigned short int *) item; + int_value = *pushort; + return ((double) int_value); + case Int32: + pint = (int *) item; + int_value = *pint; + return ((double) int_value); + case Uint32: + puint = (unsigned int *) item; + uint_value = *puint; + return ((double) uint_value); + case Float32: + pfloat = (float *) item; + double_value = *pfloat; + return (double_value); + case Float64: + pdouble = (double *) item; + double_value = *pdouble; + return (double_value); + default: + fprintf (stderr, "get_item_value: bad type = %d\n", type); + exit (-1); + } + + return (0.0); /* never actually gets here */ +} + + +/****************************************************************************** +Write out an item to a file as raw binary bytes. + +Entry: + fp - file to write to + int_val - integer version of item + uint_val - unsigned integer version of item + double_val - double-precision float version of item + type - data type to write out +******************************************************************************/ + +void write_binary_item( + FILE *fp, + int int_val, + unsigned int uint_val, + double double_val, + int type +) +{ + unsigned char uchar_val; + char char_val; + unsigned short ushort_val; + short short_val; + float float_val; + + switch (type) { + case Int8: + char_val = int_val; + fwrite (&char_val, 1, 1, fp); + break; + case Int16: + short_val = int_val; + fwrite (&short_val, 2, 1, fp); + break; + case Int32: + fwrite (&int_val, 4, 1, fp); + break; + case Uint8: + uchar_val = uint_val; + fwrite (&uchar_val, 1, 1, fp); + break; + case Uint16: + ushort_val = uint_val; + fwrite (&ushort_val, 2, 1, fp); + break; + case Uint32: + fwrite (&uint_val, 4, 1, fp); + break; + case Float32: + float_val = double_val; + fwrite (&float_val, 4, 1, fp); + break; + case Float64: + fwrite (&double_val, 8, 1, fp); + break; + default: + fprintf (stderr, "write_binary_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Write out an item to a file as ascii characters. + +Entry: + fp - file to write to + int_val - integer version of item + uint_val - unsigned integer version of item + double_val - double-precision float version of item + type - data type to write out +******************************************************************************/ + +void write_ascii_item( + FILE *fp, + int int_val, + unsigned int uint_val, + double double_val, + int type +) +{ + switch (type) { + case Int8: + case Int16: + case Int32: + fprintf (fp, "%d ", int_val); + break; + case Uint8: + case Uint16: + case Uint32: + fprintf (fp, "%u ", uint_val); + break; + case Float32: + case Float64: + fprintf (fp, "%g ", double_val); + break; + default: + fprintf (stderr, "write_ascii_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Get the value of an item that is in memory, and place the result +into an integer, an unsigned integer and a double. + +Entry: + ptr - pointer to the item + type - data type supposedly in the item + +Exit: + int_val - integer value + uint_val - unsigned integer value + double_val - double-precision floating point value +******************************************************************************/ + +void get_stored_item( + void *ptr, + int type, + int *int_val, + unsigned int *uint_val, + double *double_val +) +{ + switch (type) { + case Int8: + *int_val = *((char *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case Uint8: + *uint_val = *((unsigned char *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case Int16: + *int_val = *((short int *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case Uint16: + *uint_val = *((unsigned short int *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case Int32: + *int_val = *((int *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case Uint32: + *uint_val = *((unsigned int *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case Float32: + *double_val = *((float *) ptr); + *int_val = *double_val; + *uint_val = *double_val; + break; + case Float64: + *double_val = *((double *) ptr); + *int_val = *double_val; + *uint_val = *double_val; + break; + default: + fprintf (stderr, "get_stored_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Get the value of an item from a binary file, and place the result +into an integer, an unsigned integer and a double. + +Entry: + fp - file to get item from + type - data type supposedly in the word + +Exit: + int_val - integer value + uint_val - unsigned integer value + double_val - double-precision floating point value +******************************************************************************/ + +void get_binary_item( + FILE *fp, + int type, + int *int_val, + unsigned int *uint_val, + double *double_val +) +{ + char c[8]; + void *ptr; + + ptr = (void *) c; + + switch (type) { + case Int8: + fread (ptr, 1, 1, fp); + *int_val = *((char *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case Uint8: + fread (ptr, 1, 1, fp); + *uint_val = *((unsigned char *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case Int16: + fread (ptr, 2, 1, fp); + *int_val = *((short int *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case Uint16: + fread (ptr, 2, 1, fp); + *uint_val = *((unsigned short int *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case Int32: + fread (ptr, 4, 1, fp); + *int_val = *((int *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case Uint32: + fread (ptr, 4, 1, fp); + *uint_val = *((unsigned int *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case Float32: + fread (ptr, 4, 1, fp); + *double_val = *((float *) ptr); + *int_val = *double_val; + *uint_val = *double_val; + break; + case Float64: + fread (ptr, 8, 1, fp); + *double_val = *((double *) ptr); + *int_val = *double_val; + *uint_val = *double_val; + break; + default: + fprintf (stderr, "get_binary_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Extract the value of an item from an ascii word, and place the result +into an integer, an unsigned integer and a double. + +Entry: + word - word to extract value from + type - data type supposedly in the word + +Exit: + int_val - integer value + uint_val - unsigned integer value + double_val - double-precision floating point value +******************************************************************************/ + +void get_ascii_item( + char *word, + int type, + int *int_val, + unsigned int *uint_val, + double *double_val +) +{ + switch (type) { + case Int8: + case Uint8: + case Int16: + case Uint16: + case Int32: + *int_val = atoi (word); + *uint_val = *int_val; + *double_val = *int_val; + break; + + case Uint32: + *uint_val = strtoul (word, (char **) NULL, 10); + *int_val = *uint_val; + *double_val = *uint_val; + break; + + case Float32: + case Float64: + *double_val = atof (word); + *int_val = (int) *double_val; + *uint_val = (unsigned int) *double_val; + break; + + default: + fprintf (stderr, "get_ascii_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Store a value into a place being pointed to, guided by a data type. + +Entry: + item - place to store value + type - data type + int_val - integer version of value + uint_val - unsigned integer version of value + double_val - double version of value + +Exit: + item - pointer to stored value +******************************************************************************/ + +void store_item ( + char *item, + int type, + int int_val, + unsigned int uint_val, + double double_val +) +{ + unsigned char *puchar; + short int *pshort; + unsigned short int *pushort; + int *pint; + unsigned int *puint; + float *pfloat; + double *pdouble; + + switch (type) { + case Int8: + *item = int_val; + break; + case Uint8: + puchar = (unsigned char *) item; + *puchar = uint_val; + break; + case Int16: + pshort = (short *) item; + *pshort = int_val; + break; + case Uint16: + pushort = (unsigned short *) item; + *pushort = uint_val; + break; + case Int32: + pint = (int *) item; + *pint = int_val; + break; + case Uint32: + puint = (unsigned int *) item; + *puint = uint_val; + break; + case Float32: + pfloat = (float *) item; + *pfloat = double_val; + break; + case Float64: + pdouble = (double *) item; + *pdouble = double_val; + break; + default: + fprintf (stderr, "store_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Add an element to a PLY file descriptor. + +Entry: + plyfile - PLY file descriptor + words - list of words describing the element + nwords - number of words in the list +******************************************************************************/ + +void add_element (PlyFile *plyfile, char **words, int nwords) +{ + PlyElement *elem; + + /* create the new element */ + elem = (PlyElement *) myalloc (sizeof (PlyElement)); + elem->name = strdup (words[1]); + elem->num = atoi (words[2]); + elem->nprops = 0; + + /* make room for new element in the object's list of elements */ + if (plyfile->num_elem_types == 0) + plyfile->elems = (PlyElement **) myalloc (sizeof (PlyElement *)); + else + plyfile->elems = (PlyElement **) realloc (plyfile->elems, + sizeof (PlyElement *) * (plyfile->num_elem_types + 1)); + + /* add the new element to the object's list */ + plyfile->elems[plyfile->num_elem_types] = elem; + plyfile->num_elem_types++; +} + + +/****************************************************************************** +Return the type of a property, given the name of the property. + +Entry: + name - name of property type + +Exit: + returns integer code for property, or 0 if not found +******************************************************************************/ + +int get_prop_type(char *type_name) +{ + int i; + + /* try to match the type name */ + for (i = StartType + 1; i < EndType; i++) + if (equal_strings (type_name, type_names[i])) + return (i); + + /* see if we can match an old type name */ + for (i = StartType + 1; i < EndType; i++) + if (equal_strings (type_name, old_type_names[i])) + return (i); + + /* if we get here, we didn't find the type */ + return (0); +} + + +/****************************************************************************** +Add a property to a PLY file descriptor. + +Entry: + plyfile - PLY file descriptor + words - list of words describing the property + nwords - number of words in the list +******************************************************************************/ + +void add_property (PlyFile *plyfile, char **words, int nwords) +{ + int prop_type; + int count_type; + PlyProperty *prop; + PlyElement *elem; + + /* create the new property */ + + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + + if (equal_strings (words[1], "list")) { /* list */ + prop->count_external = get_prop_type (words[2]); + prop->external_type = get_prop_type (words[3]); + prop->name = strdup (words[4]); + prop->is_list = PLY_LIST; + } + else if (equal_strings (words[1], "string")) { /* string */ + prop->count_external = Int8; + prop->external_type = Int8; + prop->name = strdup (words[2]); + prop->is_list = PLY_STRING; + } + else { /* scalar */ + prop->external_type = get_prop_type (words[1]); + prop->name = strdup (words[2]); + prop->is_list = PLY_SCALAR; + } + + /* add this property to the list of properties of the current element */ + + elem = plyfile->elems[plyfile->num_elem_types - 1]; + + if (elem->nprops == 0) + elem->props = (PlyProperty **) myalloc (sizeof (PlyProperty *)); + else + elem->props = (PlyProperty **) realloc (elem->props, + sizeof (PlyProperty *) * (elem->nprops + 1)); + + elem->props[elem->nprops] = prop; + elem->nprops++; +} + + +/****************************************************************************** +Add a comment to a PLY file descriptor. + +Entry: + plyfile - PLY file descriptor + line - line containing comment +******************************************************************************/ + +void add_comment (PlyFile *plyfile, char *line) +{ + int i; + + /* skip over "comment" and leading spaces and tabs */ + i = 7; + while (line[i] == ' ' || line[i] == '\t') + i++; + + append_comment_ply (plyfile, &line[i]); +} + + +/****************************************************************************** +Add a some object information to a PLY file descriptor. + +Entry: + plyfile - PLY file descriptor + line - line containing text info +******************************************************************************/ + +void add_obj_info (PlyFile *plyfile, char *line) +{ + int i; + + /* skip over "obj_info" and leading spaces and tabs */ + i = 8; + while (line[i] == ' ' || line[i] == '\t') + i++; + + append_obj_info_ply (plyfile, &line[i]); +} + + +/****************************************************************************** +Copy a property. +******************************************************************************/ + +void copy_property(PlyProperty *dest, PlyProperty *src) +{ + dest->name = strdup (src->name); + dest->external_type = src->external_type; + dest->internal_type = src->internal_type; + dest->offset = src->offset; + + dest->is_list = src->is_list; + dest->count_external = src->count_external; + dest->count_internal = src->count_internal; + dest->count_offset = src->count_offset; +} + + +/****************************************************************************** +Allocate some memory. + +Entry: + size - amount of memory requested (in bytes) + lnum - line number from which memory was requested + fname - file name from which memory was requested +******************************************************************************/ + +static char *my_alloc(int size, int lnum, char *fname) +{ + char *ptr; + + ptr = (char *) malloc (size); + + if (ptr == 0) { + fprintf(stderr, "Memory allocation bombed on line %d in %s\n", lnum, fname); + } + + return (ptr); +} + + +/**** NEW STUFF ****/ +/**** NEW STUFF ****/ +/**** NEW STUFF ****/ +/**** NEW STUFF ****/ + + + +/****************************************************************************** +Given a file pointer, get ready to read PLY data from the file. + +Entry: + fp - the given file pointer + +Exit: + nelems - number of elements in object + elem_names - list of element names + returns a pointer to a PlyFile, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *read_ply(FILE *fp) +{ + PlyFile *ply; + int num_elems; + char **elem_names; + + ply = ply_read (fp, &num_elems, &elem_names); + + return (ply); +} + + +/****************************************************************************** +Given a file pointer, get ready to write PLY data to the file. + +Entry: + fp - the given file pointer + nelems - number of elements in object + elem_names - list of element names + file_type - file type, either ascii or binary + +Exit: + returns a pointer to a PlyFile, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *write_ply( + FILE *fp, + int nelems, + char **elem_names, + int file_type +) +{ + PlyFile *ply; + + ply = ply_write (fp, nelems, elem_names, file_type); + + return (ply); +} + + +/****************************************************************************** +Return a list of the names of the elements in a particular PLY file. + +Entry: + ply - PLY file whose element name list we want + +Exit: + num_elems - the number of element names in the list + returns the list of names +******************************************************************************/ + +char **get_element_list_ply(PlyFile *ply, int *num_elems) +{ + int i; + char **elist; + + /* create the list of element names */ + + elist = (char **) myalloc (sizeof (char *) * ply->num_elem_types); + for (i = 0; i < ply->num_elem_types; i++) + elist[i] = strdup (ply->elems[i]->name); + + /* return the number of elements and the list of element names */ + *num_elems = ply->num_elem_types; + return (elist); +} + + +/****************************************************************************** +Append a comment to a PLY file. + +Entry: + ply - file to append comment to + comment - the comment to append +******************************************************************************/ + +void append_comment_ply(PlyFile *ply, char *comment) +{ + /* (re)allocate space for new comment */ + if (ply->num_comments == 0) + ply->comments = (char **) myalloc (sizeof (char *)); + else + ply->comments = (char **) realloc (ply->comments, + sizeof (char *) * (ply->num_comments + 1)); + + /* add comment to list */ + ply->comments[ply->num_comments] = strdup (comment); + ply->num_comments++; +} + + +/****************************************************************************** +Copy the comments from one PLY file to another. + +Entry: + out_ply - destination file to copy comments to + in_ply - the source of the comments +******************************************************************************/ + +void copy_comments_ply(PlyFile *out_ply, PlyFile *in_ply) +{ + int i; + + for (i = 0; i < in_ply->num_comments; i++) + append_comment_ply (out_ply, in_ply->comments[i]); +} + + +/****************************************************************************** +Append object information (arbitrary text) to a PLY file. + +Entry: + ply - file to append object info to + obj_info - the object info to append +******************************************************************************/ + +void append_obj_info_ply(PlyFile *ply, char *obj_info) +{ + /* (re)allocate space for new info */ + if (ply->num_obj_info == 0) + ply->obj_info = (char **) myalloc (sizeof (char *)); + else + ply->obj_info = (char **) realloc (ply->obj_info, + sizeof (char *) * (ply->num_obj_info + 1)); + + /* add info to list */ + ply->obj_info[ply->num_obj_info] = strdup (obj_info); + ply->num_obj_info++; +} + + +/****************************************************************************** +Copy the object information from one PLY file to another. + +Entry: + out_ply - destination file to copy object information to + in_ply - the source of the object information +******************************************************************************/ + +void copy_obj_info_ply(PlyFile *out_ply, PlyFile *in_ply) +{ + int i; + + for (i = 0; i < in_ply->num_obj_info; i++) + append_obj_info_ply (out_ply, in_ply->obj_info[i]); +} + + +/****************************************************************************** +Close a PLY file. + +Entry: + plyfile - identifier of file to close +******************************************************************************/ + +void close_ply(PlyFile *plyfile) +{ + fclose (plyfile->fp); +} + + +/****************************************************************************** +Free the memory used by a PLY file. + +Entry: + plyfile - identifier of file +******************************************************************************/ + +void free_ply(PlyFile *plyfile) +{ + /* free up memory associated with the PLY file */ + free (plyfile); +} + + +/****************************************************************************** +Specify the index of the next element to be read in from a PLY file. + +Entry: + ply - file to read from + index - index of the element to be read + +Exit: + elem_count - the number of elements in the file + returns pointer to the name of this next element +******************************************************************************/ + +char *setup_element_read_ply (PlyFile *ply, int index, int *elem_count) +{ + PlyElement *elem; + + if (index < 0 || index > ply->num_elem_types) { + fprintf (stderr, "Warning: No element with index %d\n", index); + return (0); + } + + elem = ply->elems[index]; + + /* set this to be the current element */ + ply->which_elem = elem; + + /* return the number of such elements in the file and the element's name */ + *elem_count = elem->num; + return (elem->name); +} + + +/****************************************************************************** +Read one element from the file. This routine assumes that we're reading +the type of element specified in the last call to the routine +setup_element_read_ply(). + +Entry: + plyfile - file identifier + elem_ptr - pointer to location where the element information should be put +******************************************************************************/ + +void get_element_ply (PlyFile *plyfile, void *elem_ptr) +{ + if (plyfile->file_type == PLY_ASCII) + ascii_get_element (plyfile, (char *) elem_ptr); + else + binary_get_element (plyfile, (char *) elem_ptr); +} + + +/****************************************************************************** +Specify one of several properties of the current element that is to be +read from a file. This should be called (usually multiple times) before a +call to the routine get_element_ply(). + +Entry: + plyfile - file identifier + prop - property to add to those that will be returned +******************************************************************************/ + +void setup_property_ply( + PlyFile *plyfile, + PlyProperty *prop +) +{ + PlyElement *elem; + PlyProperty *prop_ptr; + int index; + + elem = plyfile->which_elem; + + /* deposit the property information into the element's description */ + + prop_ptr = find_property (elem, prop->name, &index); + if (prop_ptr == NULL) { + fprintf (stderr, "Warning: Can't find property '%s' in element '%s'\n", + prop->name, elem->name); + return; + } + prop_ptr->internal_type = prop->internal_type; + prop_ptr->offset = prop->offset; + prop_ptr->count_internal = prop->count_internal; + prop_ptr->count_offset = prop->count_offset; + + /* specify that the user wants this property */ + elem->store_prop[index] = STORE_PROP; +} + + +/****************************************************************************** +Specify that we want the "other" properties of the current element to be tucked +away within the user's structure. + +Entry: + plyfile - file identifier + offset - offset to where other_props will be stored inside user's structure + +Exit: + returns pointer to structure containing description of other_props +******************************************************************************/ + +PlyOtherProp *get_other_properties_ply( + PlyFile *plyfile, + int offset +) +{ + PlyOtherProp *other; + + other = get_other_properties (plyfile, plyfile->which_elem, offset); + return (other); +} + + +/****************************************************************************** +Describe which element is to be written next and state how many of them will +be written. + +Entry: + plyfile - file identifier + elem_name - name of element that information is being described + nelems - number of elements of this type to be written +******************************************************************************/ + +void describe_element_ply( + PlyFile *plyfile, + char *elem_name, + int nelems +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + + /* look for appropriate element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf(stderr,"describe_element_ply: can't find element '%s'\n",elem_name); + exit (-1); + } + + elem->num = nelems; + + /* now this element is the current element */ + plyfile->which_elem = elem; +} + + +/****************************************************************************** +Describe a property of an element. + +Entry: + plyfile - file identifier + prop - the new property +******************************************************************************/ + +void describe_property_ply( + PlyFile *plyfile, + PlyProperty *prop +) +{ + PlyElement *elem; + PlyProperty *elem_prop; + + elem = plyfile->which_elem; + + /* create room for new property */ + + if (elem->nprops == 0) { + elem->props = (PlyProperty **) myalloc (sizeof (PlyProperty *)); + elem->store_prop = (char *) myalloc (sizeof (char)); + elem->nprops = 1; + } + else { + elem->nprops++; + elem->props = (PlyProperty **) + realloc (elem->props, sizeof (PlyProperty *) * elem->nprops); + elem->store_prop = (char *) + realloc (elem->store_prop, sizeof (char) * elem->nprops); + } + + /* copy the new property */ + + elem_prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + elem->props[elem->nprops - 1] = elem_prop; + elem->store_prop[elem->nprops - 1] = NAMED_PROP; + copy_property (elem_prop, prop); +} + + +/****************************************************************************** +Describe what the "other" properties are that are to be stored, and where +they are in an element. +******************************************************************************/ + +void describe_other_properties_ply( + PlyFile *plyfile, + PlyOtherProp *other, + int offset +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + + /* look for appropriate element */ + elem = find_element (plyfile, other->name); + if (elem == NULL) { + fprintf(stderr, "describe_other_properties_ply: can't find element '%s'\n", + other->name); + return; + } + + /* create room for other properties */ + + if (elem->nprops == 0) { + elem->props = (PlyProperty **) + myalloc (sizeof (PlyProperty *) * other->nprops); + elem->store_prop = (char *) myalloc (sizeof (char) * other->nprops); + elem->nprops = 0; + } + else { + int newsize; + newsize = elem->nprops + other->nprops; + elem->props = (PlyProperty **) + realloc (elem->props, sizeof (PlyProperty *) * newsize); + elem->store_prop = (char *) + realloc (elem->store_prop, sizeof (char) * newsize); + } + + /* copy the other properties */ + + for (i = 0; i < other->nprops; i++) { + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + copy_property (prop, other->props[i]); + elem->props[elem->nprops] = prop; + elem->store_prop[elem->nprops] = OTHER_PROP; + elem->nprops++; + } + + /* save other info about other properties */ + elem->other_size = other->size; + elem->other_offset = offset; +} + + +/****************************************************************************** +Pass along a pointer to "other" elements that we want to save in a given +PLY file. These other elements were presumably read from another PLY file. + +Entry: + plyfile - file pointer in which to store this other element info + other_elems - info about other elements that we want to store +******************************************************************************/ + +void describe_other_elements_ply ( + PlyFile *plyfile, + PlyOtherElems *other_elems +) +{ + int i; + OtherElem *other; + + /* ignore this call if there is no other element */ + if (other_elems == NULL) + return; + + /* save pointer to this information */ + plyfile->other_elems = other_elems; + + /* describe the other properties of this element */ + + for (i = 0; i < other_elems->num_elems; i++) { + other = &(other_elems->other_list[i]); + element_count_ply (plyfile, other->elem_name, other->elem_count); + describe_other_properties_ply (plyfile, other->other_props, + offsetof(OtherData,other_props)); + } +} + + + +/**** Property Propagation Rules ****/ + + +typedef struct RuleName { + int code; + char *name; +} RuleName; + +RuleName rule_name_list[] = { + AVERAGE_RULE, "avg", + RANDOM_RULE, "rnd", + MINIMUM_RULE, "max", + MAXIMUM_RULE, "min", + MAJORITY_RULE, "major", + SAME_RULE, "same", + -1, "end_marker", +}; + + + +/****************************************************************************** +Initialize the property propagation rules for an element. Default is to +use averaging (AVERAGE_RULE) for creating all new properties. + +Entry: + ply - PLY object that this is for + elem_name - name of the element that we're making the rules for + +Exit: + returns pointer to the default rules +******************************************************************************/ + +PlyPropRules *init_rule_ply (PlyFile *ply, char *elem_name) +{ + int i,j; + PlyElement *elem; + PlyPropRules *rules; + PlyRuleList *list; + int found_prop; + + elem = find_element (ply, elem_name); + if (elem == NULL) { + fprintf (stderr, "init_rule_ply: Can't find element '%s'\n", elem_name); + exit (-1); + } + + rules = (PlyPropRules *) myalloc (sizeof (PlyPropRules)); + rules->elem = elem; + rules->rule_list = (int *) myalloc (sizeof(int) * elem->nprops); + rules->max_props = 0; + rules->nprops = 0; + + /* default is to use averaging rule */ + for (i = 0; i < elem->nprops; i++) + rules->rule_list[i] = AVERAGE_RULE; + + /* see if there are other rules we should use */ + + if (ply->rule_list == NULL) + return (rules); + + /* try to match the element, property and rule name */ + + for (list = ply->rule_list; list != NULL; list = list->next) { + + if (!equal_strings (list->element, elem->name)) + continue; + + found_prop = 0; + + for (i = 0; i < elem->nprops; i++) + if (equal_strings (list->property, elem->props[i]->name)) { + + found_prop = 1; + + /* look for matching rule name */ + for (j = 0; rule_name_list[j].code != -1; j++) + if (equal_strings (list->name, rule_name_list[j].name)) { + rules->rule_list[i] = rule_name_list[j].code; + break; + } + } + + if (!found_prop) { + fprintf (stderr, "Can't find property '%s' for rule '%s'\n", + list->property, list->name); + continue; + } + } + + return (rules); +} + + +/****************************************************************************** +Modify a property propagation rule. + +Entry: + rules - rules for the element + prop_name - name of the property whose rule we're modifying + rule_type - type of rule (MAXIMUM_RULE, MINIMUM_RULE, MAJORITY_RULE, etc.) +******************************************************************************/ + +void modify_rule_ply (PlyPropRules *rules, char *prop_name, int rule_type) +{ + int i; + PlyElement *elem = rules->elem; + + /* find the property and modify its rule type */ + + for (i = 0; i < elem->nprops; i++) + if (equal_strings (elem->props[i]->name, prop_name)) { + rules->rule_list[i] = rule_type; + return; + } + + /* we didn't find the property if we get here */ + fprintf (stderr, "modify_rule_ply: Can't find property '%s'\n", prop_name); + exit (-1); +} + + +/****************************************************************************** +Begin to create a set of properties from a set of propagation rules. + +Entry: + ply - PLY object whose rules we're preparing to use + rules - rules for the element +******************************************************************************/ + +void start_props_ply (PlyFile *ply, PlyPropRules *rules) +{ + int i; + int count; + PlyElement *elem = rules->elem; + + /* save pointer to the rules in the PLY object */ + ply->current_rules = rules; + + /* get ready for new sets of properties to combine */ + rules->nprops = 0; +} + + +/****************************************************************************** +Remember a set of properties and their weights for creating a new set of +properties. + +Entry: + weight - weights for this set of properties + other_props - the properties to use +******************************************************************************/ + +void weight_props_ply (PlyFile *ply, float weight, void *other_props) +{ + PlyPropRules *rules = ply->current_rules; + + /* allocate space for properties and weights, if necessary */ + if (rules->max_props == 0) { + rules->max_props = 6; + rules->props = (void **) myalloc (sizeof (void *) * rules->max_props); + rules->weights = (float *) myalloc (sizeof (float) * rules->max_props); + } + if (rules->nprops == rules->max_props) { + rules->max_props *= 2; + rules->props = (void **) realloc (rules->props, + sizeof (void *) * rules->max_props); + rules->weights = (float *) realloc (rules->weights, + sizeof (float) * rules->max_props); + } + + /* remember these new properties and their weights */ + + rules->props[rules->nprops] = other_props; + rules->weights[rules->nprops] = weight; + rules->nprops++; +} + + +/****************************************************************************** +Return a pointer to a new set of properties that have been created using +a specified set of property combination rules and a given collection of +"other" properties. + +Exit: + returns a pointer to the new properties +******************************************************************************/ + +void *get_new_props_ply(PlyFile *ply) +{ + int i,j; + static double *vals; + static int max_vals = 0; + PlyPropRules *rules = ply->current_rules; + PlyElement *elem = rules->elem; + PlyProperty *prop; + char *data; + char *new_data; + void *ptr; + int offset; + int type; + double double_val; + int int_val; + unsigned int uint_val; + int random_pick; + + /* return NULL if we've got no "other" properties */ + if (elem->other_size == 0) { + return (NULL); + } + + /* create room for combined other properties */ + new_data = (char *) myalloc (sizeof (char) * elem->other_size); + + /* make sure there is enough room to store values we're to combine */ + + if (max_vals == 0) { + max_vals = rules->nprops; + vals = (double *) myalloc (sizeof (double) * rules->nprops); + } + if (rules->nprops >= max_vals) { + max_vals = rules->nprops; + vals = (double *) realloc (vals, sizeof (double) * rules->nprops); + } + + /* in case we need a random choice */ + random_pick = (int) floor (rules->nprops * rand()); + + /* calculate the combination for each "other" property of the element */ + + for (i = 0; i < elem->nprops; i++) { + + /* don't bother with properties we've been asked to store explicitly */ + if (elem->store_prop[i]) + continue; + + prop = elem->props[i]; + offset = prop->offset; + type = prop->external_type; + + /* collect together all the values we're to combine */ + + for (j = 0; j < rules->nprops; j++) { + data = (char *) rules->props[j]; + ptr = (void *) (data + offset); + get_stored_item ((void *) ptr, type, &int_val, &uint_val, &double_val); + vals[j] = double_val; + } + + /* calculate the combined value */ + + switch (rules->rule_list[i]) { + case AVERAGE_RULE: { + double sum = 0; + double weight_sum = 0; + for (j = 0; j < rules->nprops; j++) { + sum += vals[j] * rules->weights[j]; + weight_sum += rules->weights[j]; + } + double_val = sum / weight_sum; + break; + } + case MINIMUM_RULE: { + double_val = vals[0]; + for (j = 1; j < rules->nprops; j++) + if (double_val > vals[j]) + double_val = vals[j]; + break; + } + case MAXIMUM_RULE: { + double_val = vals[0]; + for (j = 1; j < rules->nprops; j++) + if (double_val < vals[j]) + double_val = vals[j]; + break; + } + case RANDOM_RULE: { + double_val = vals[random_pick]; + break; + } + case SAME_RULE: { + double_val = vals[0]; + for (j = 1; j < rules->nprops; j++) + if (double_val != vals[j]) { + fprintf (stderr, + "get_new_props_ply: Error combining properties that should be the same.\n"); + exit (-1); + } + break; + } + default: + fprintf (stderr, "get_new_props_ply: Bad rule = %d\n", + rules->rule_list[i]); + exit (-1); + } + + /* store the combined value */ + + int_val = (int) double_val; + uint_val = (unsigned int) double_val; + ptr = (void *) (new_data + offset); + store_item ((char *) ptr, type, int_val, uint_val, double_val); + } + + return ((void *) new_data); +} + + +/****************************************************************************** +Set the list of user-specified property combination rules. +******************************************************************************/ + +void set_prop_rules_ply (PlyFile *ply, PlyRuleList *prop_rules) +{ + ply->rule_list = prop_rules; +} + + +/****************************************************************************** +Append a property rule to a growing list of user-specified rules. + +Entry: + rule_list - current rule list + name - name of property combination rule + property - "element.property" says which property the rule affects + +Exit: + returns pointer to the new rule list +******************************************************************************/ + +PlyRuleList *append_prop_rule ( + PlyRuleList *rule_list, + char *name, + char *property +) +{ + PlyRuleList *rule; + PlyRuleList *rule_ptr; + char *str,*str2; + char *ptr; + + /* find . */ + str = strdup (property); + for (ptr = str; *ptr != '\0' && *ptr != '.'; ptr++) ; + + /* split string at . */ + if (*ptr == '.') { + *ptr = '\0'; + str2 = ptr + 1; + } + else { + fprintf (stderr, "Can't find property '%s' for rule '%s'\n", + property, name); + return (rule_list); + } + + rule = (PlyRuleList *) malloc (sizeof (PlyRuleList)); + rule->name = name; + rule->element = str; + rule->property = str2; + rule->next = NULL; + + /* either start rule list or append to it */ + + if (rule_list == NULL) + rule_list = rule; + else { /* append new rule to current list */ + rule_ptr = rule_list; + while (rule_ptr->next != NULL) + rule_ptr = rule_ptr->next; + rule_ptr->next = rule; + } + + /* return pointer to list */ + + return (rule_list); +} + + +/****************************************************************************** +See if a name matches the name of any property combination rules. + +Entry: + name - name of rule we're trying to match + +Exit: + returns 1 if we find a match, 0 if not +******************************************************************************/ + +int matches_rule_name (char *name) +{ + int i; + + for (i = 0; rule_name_list[i].code != -1; i++) + if (equal_strings (rule_name_list[i].name, name)) + return (1); + + return (0); +} + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/ply.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/ply.h new file mode 100644 index 0000000..c5a5090 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/ply.h @@ -0,0 +1,235 @@ +/* + +Header for PLY polygon files. + +- Greg Turk + +A PLY file contains a single polygonal _object_. + +An object is composed of lists of _elements_. Typical elements are +vertices, faces, edges and materials. + +Each type of element for a given object has one or more _properties_ +associated with the element type. For instance, a vertex element may +have as properties three floating-point values x,y,z and three unsigned +chars for red, green and blue. + +----------------------------------------------------------------------- + +Copyright (c) 1998 Georgia Institute of Technology. All rights reserved. + +Permission to use, copy, modify and distribute this software and its +documentation for any purpose is hereby granted without fee, provided +that the above copyright notice and this permission notice appear in +all copies of this software and that you do not sell the software. + +THE SOFTWARE IS PROVIDED "AS IS" AND WITHOUT WARRANTY OF ANY KIND, +EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY +WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. + +*/ + +#ifndef __PLY_H__ +#define __PLY_H__ + +#ifdef __cplusplus +extern "C" { +#endif + +#include +#include + +#define PLY_ASCII 1 /* ascii PLY file */ +#define PLY_BINARY_BE 2 /* binary PLY file, big endian */ +#define PLY_BINARY_LE 3 /* binary PLY file, little endian */ + +#define PLY_OKAY 0 /* ply routine worked okay */ +#define PLY_ERROR -1 /* error in ply routine */ + +/* scalar data types supported by PLY format */ + +#define StartType 0 +#define Int8 1 +#define Int16 2 +#define Int32 3 +#define Uint8 4 +#define Uint16 5 +#define Uint32 6 +#define Float32 7 +#define Float64 8 +#define EndType 9 + +#define PLY_SCALAR 0 +#define PLY_LIST 1 +#define PLY_STRING 2 + + +typedef struct PlyProperty { /* description of a property */ + + char *name; /* property name */ + int external_type; /* file's data type */ + int internal_type; /* program's data type */ + int offset; /* offset bytes of prop in a struct */ + + int is_list; /* 0 = scalar, 1 = list, 2 = char string */ + int count_external; /* file's count type */ + int count_internal; /* program's count type */ + int count_offset; /* offset byte for list count */ + +} PlyProperty; + +typedef struct PlyElement { /* description of an element */ + char *name; /* element name */ + int num; /* number of elements in this object */ + int size; /* size of element (bytes) or -1 if variable */ + int nprops; /* number of properties for this element */ + PlyProperty **props; /* list of properties in the file */ + char *store_prop; /* flags: property wanted by user? */ + int other_offset; /* offset to un-asked-for props, or -1 if none*/ + int other_size; /* size of other_props structure */ +} PlyElement; + +typedef struct PlyOtherProp { /* describes other properties in an element */ + char *name; /* element name */ + int size; /* size of other_props */ + int nprops; /* number of properties in other_props */ + PlyProperty **props; /* list of properties in other_props */ +} PlyOtherProp; + +typedef struct OtherData { /* for storing other_props for an other element */ + void *other_props; +} OtherData; + +typedef struct OtherElem { /* data for one "other" element */ + char *elem_name; /* names of other elements */ + int elem_count; /* count of instances of each element */ + OtherData **other_data; /* actual property data for the elements */ + PlyOtherProp *other_props; /* description of the property data */ +} OtherElem; + +typedef struct PlyOtherElems { /* "other" elements, not interpreted by user */ + int num_elems; /* number of other elements */ + OtherElem *other_list; /* list of data for other elements */ +} PlyOtherElems; + +#define AVERAGE_RULE 1 +#define MAJORITY_RULE 2 +#define MINIMUM_RULE 3 +#define MAXIMUM_RULE 4 +#define SAME_RULE 5 +#define RANDOM_RULE 6 + +typedef struct PlyPropRules { /* rules for combining "other" properties */ + PlyElement *elem; /* element whose rules we are making */ + int *rule_list; /* types of rules (AVERAGE_PLY, MAJORITY_PLY, etc.) */ + int nprops; /* number of properties we're combining so far */ + int max_props; /* maximum number of properties we have room for now */ + void **props; /* list of properties we're combining */ + float *weights; /* list of weights of the properties */ +} PlyPropRules; + +typedef struct PlyRuleList { + char *name; /* name of the rule */ + char *element; /* name of element that rule applies to */ + char *property; /* name of property that rule applies to */ + struct PlyRuleList *next; /* pointer for linked list of rules */ +} PlyRuleList; + +typedef struct PlyFile { /* description of PLY file */ + FILE *fp; /* file pointer */ + int file_type; /* ascii or binary */ + float version; /* version number of file */ + int num_elem_types; /* number of element types of object */ + PlyElement **elems; /* list of elements */ + int num_comments; /* number of comments */ + char **comments; /* list of comments */ + int num_obj_info; /* number of items of object information */ + char **obj_info; /* list of object info items */ + PlyElement *which_elem; /* element we're currently reading or writing */ + PlyOtherElems *other_elems; /* "other" elements from a PLY file */ + PlyPropRules *current_rules; /* current propagation rules */ + PlyRuleList *rule_list; /* rule list from user */ +} PlyFile; + +/* memory allocation */ +/* +extern char *my_alloc(); +*/ +#define myalloc(mem_size) my_alloc((mem_size), __LINE__, __FILE__) + + +/* old routines */ + +#if 0 +extern PlyFile *ply_write(FILE *, int, char **, int); +extern PlyFile *ply_read(FILE *, int *, char ***); +extern PlyFile *ply_open_for_reading( char *, int *, char ***, int *, float *); +extern void ply_close(PlyFile *); +extern PlyOtherProp *ply_get_other_properties(PlyFile *, char *, int); +#endif + +extern void ply_describe_property(PlyFile *, char *, PlyProperty *); +extern void ply_get_property(PlyFile *, char *, PlyProperty *); +extern void ply_get_element(PlyFile *, void *); + +extern PlyElement *find_element(PlyFile *, char *); +extern PlyProperty *find_property(PlyElement *, char *, int *); + +/*** delcaration of routines ***/ + +PlyOtherElems *get_other_element_ply (PlyFile *); + +PlyFile *read_ply(FILE *); +PlyFile *write_ply(FILE *, int, char **, int); +extern PlyFile *open_for_writing_ply(char *, int, char **, int); +void close_ply(PlyFile *); +void free_ply(PlyFile *); + +void get_info_ply(PlyFile *, float *, int *); +void free_other_elements_ply (PlyOtherElems *); + +void append_comment_ply(PlyFile *, char *); +void append_obj_info_ply(PlyFile *, char *); +void copy_comments_ply(PlyFile *, PlyFile *); +void copy_obj_info_ply(PlyFile *, PlyFile *); +char **get_comments_ply(PlyFile *, int *); +char **get_obj_info_ply(PlyFile *, int *); + +char **get_element_list_ply(PlyFile *, int *); +void setup_property_ply(PlyFile *, PlyProperty *); +void get_element_ply (PlyFile *, void *); +char *setup_element_read_ply (PlyFile *, int, int *); +PlyOtherProp *get_other_properties_ply(PlyFile *, int); + +void element_count_ply(PlyFile *, char *, int); +void describe_element_ply(PlyFile *, char *, int); +void describe_property_ply(PlyFile *, PlyProperty *); +void describe_other_properties_ply(PlyFile *, PlyOtherProp *, int); +void describe_other_elements_ply ( PlyFile *, PlyOtherElems *); +void get_element_setup_ply(PlyFile *, char *, int, PlyProperty *); +PlyProperty **get_element_description_ply(PlyFile *, char *, int*, int*); +void element_layout_ply(PlyFile *, char *, int, int, PlyProperty *); + +void header_complete_ply(PlyFile *); +void put_element_setup_ply(PlyFile *, char *); +void put_element_ply(PlyFile *, void *); +void put_other_elements_ply(PlyFile *); + +PlyPropRules *init_rule_ply (PlyFile *, char *); +void modify_rule_ply (PlyPropRules *, char *, int); +void start_props_ply (PlyFile *, PlyPropRules *); +void weight_props_ply (PlyFile *, float, void *); +void *get_new_props_ply(PlyFile *); +void set_prop_rules_ply (PlyFile *, PlyRuleList *); +PlyRuleList *append_prop_rule (PlyRuleList *, char *, char *); +int matches_rule_name (char *); + +int equal_strings(char *, char *); +char *recreate_command_line (int, char *argv[]); + + +#ifdef __cplusplus +} +#endif +#endif /* !__PLY_H__ */ + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/ply_docs b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/ply_docs new file mode 100644 index 0000000..1319200 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/ply_docs @@ -0,0 +1,232 @@ +/*************/ +/* Writing */ +/*************/ + + +/****************************************************************************** +Open a polygon file for writing. + +Entry: + filename - name of file to read from + nelems - number of elements in object + elem_names - list of element names + file_type - file type, either ascii or binary + +Exit: + version - version number of PLY file + returns a file identifier, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *ply_open_for_writing( + char *filename, + int nelems, + char **elem_names, + int file_type, + float *version +) + +/****************************************************************************** +Describe an element, including its properties and how many will be written +to the file. + +Entry: + plyfile - file identifier + elem_name - name of element that information is being specified about + nelems - number of elements of this type to be written + nprops - number of properties contained in the element + prop_list - list of properties +******************************************************************************/ + +void ply_describe_element( + PlyFile *plyfile, + char *elem_name, + int nelems, + int nprops, + PlyProperty *prop_list +) + +/****************************************************************************** +Signal that we've described everything a PLY file's header and that the +header should be written to the file. + +Entry: + plyfile - file identifier +******************************************************************************/ + +void ply_header_complete(PlyFile *plyfile) + +/****************************************************************************** +Specify which elements are going to be written. This should be called +before a call to the routine ply_put_elements(). + +Entry: + plyfile - file identifier + elem_name - name of element we're talking about +******************************************************************************/ + +void ply_put_elements_setup(PlyFile *plyfile, char *elem_name) + +/****************************************************************************** +Write an element to the file. This routine assumes that we're +writing the type of element specified in the last call to the routine +ply_put_element_setup(). + +Entry: + plyfile - file identifier + elem_ptr - pointer to the element +******************************************************************************/ + +void ply_put_element(PlyFile *plyfile, void *elem_ptr) + +/****************************************************************************** +Specify a comment that will be written in the header. + +Entry: + plyfile - file identifier + comment - the comment to be written +******************************************************************************/ + +void ply_put_comment(PlyFile *plyfile, char *comment) + +/****************************************************************************** +Specify a piece of object information (arbitrary text) that will be written +in the header. + +Entry: + plyfile - file identifier + obj_info - the text information to be written +******************************************************************************/ + +void ply_put_obj_info(PlyFile *plyfile, char *obj_info) + + + + +/*************/ +/* Reading */ +/*************/ + + + +/****************************************************************************** +Open a polygon file for reading. + +Entry: + filename - name of file to read from + +Exit: + nelems - number of elements in object + elem_names - list of element names + file_type - file type, either ascii or binary + version - version number of PLY file + returns a file identifier, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *ply_open_for_reading( + char *filename, + int *nelems, + char ***elem_names, + int *file_type, + float *version +) + +/****************************************************************************** +Get information about a particular element. + +Entry: + plyfile - file identifier + elem_name - name of element to get information about + +Exit: + nelems - number of elements of this type in the file + nprops - number of properties + returns a list of properties +******************************************************************************/ + +PlyProperty **ply_get_element_description( + PlyFile *plyfile, + char *elem_name, + int *nelems, + int *nprops +) + +/****************************************************************************** +Specify which properties of an element are to be returned. This should be +called before a call to the routine ply_get_elements(). + +Entry: + plyfile - file identifier + elem_name - which element we're talking about + nprops - number of properties + prop_list - list of properties +******************************************************************************/ + +void ply_get_element_setup( + PlyFile *plyfile, + char *elem_name, + int nprops, + PlyProperty *prop_list +) + +/****************************************************************************** +Read one element from the file. This routine assumes that we're reading +the type of element specified in the last call to the routine +ply_get_element_setup(). + +Entry: + plyfile - file identifier + elem_ptr - pointer to location where the element information should be put +******************************************************************************/ + +ply_get_element(PlyFile *plyfile, void *elem_ptr) + +/****************************************************************************** +Extract the comments from the header information of a PLY file. + +Entry: + plyfile - file identifier + +Exit: + num_comments - number of comments returned + returns a pointer to a list of comments +******************************************************************************/ + +char **ply_get_comments(PlyFile *plyfile, int *num_comments) + +/****************************************************************************** +Extract the object information (arbitrary text) from the header information +of a PLY file. + +Entry: + plyfile - file identifier + +Exit: + num_obj_info - number of lines of text information returned + returns a pointer to a list of object info lines +******************************************************************************/ + +char **ply_get_obj_info(PlyFile *plyfile, int *num_obj_info) + + + +/*******************/ +/* Miscellaneous */ +/*******************/ + + + +/****************************************************************************** +Close a PLY file. + +Entry: + plyfile - identifier of file to close +******************************************************************************/ + +void ply_close(PlyFile *plyfile) + +/****************************************************************************** +Compare two strings. Returns 1 if they are the same, 0 if not. +******************************************************************************/ + +int equal_strings(char *s1, char *s2) + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/plyfile.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/plyfile.cpp new file mode 100644 index 0000000..b4bb9d5 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/plyfile.cpp @@ -0,0 +1,2514 @@ +/* + +The interface routines for reading and writing PLY polygon files. + +Greg Turk, February 1994 + +--------------------------------------------------------------- + +A PLY file contains a single polygonal _object_. + +An object is composed of lists of _elements_. Typical elements are +vertices, faces, edges and materials. + +Each type of element for a given object has one or more _properties_ +associated with the element type. For instance, a vertex element may +have as properties the floating-point values x,y,z and the three unsigned +chars representing red, green and blue. + +--------------------------------------------------------------- + +Copyright (c) 1994 The Board of Trustees of The Leland Stanford +Junior University. All rights reserved. + +Permission to use, copy, modify and distribute this software and its +documentation for any purpose is hereby granted without fee, provided +that the above copyright notice and this permission notice appear in +all copies of this software and that you do not sell the software. + +THE SOFTWARE IS PROVIDED "AS IS" AND WITHOUT WARRANTY OF ANY KIND, +EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY +WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. + +*/ + +#include "../stdafx.h" +#include +#include +#include +#include +#include "ply.h" + +char *type_names[] = { +"invalid", +"char", "short", "int", +"uchar", "ushort", "uint", +"float", "double", +}; + +int ply_type_size[] = { + 0, 1, 2, 4, 1, 2, 4, 4, 8 +}; + +#define NO_OTHER_PROPS -1 + +#define DONT_STORE_PROP 0 +#define STORE_PROP 1 + +#define OTHER_PROP 0 +#define NAMED_PROP 1 + + +/* returns 1 if strings are equal, 0 if not */ +int equal_strings(char *, char *); + +/* find an element in a plyfile's list */ +PlyElement *find_element(PlyFile *, char *); + +/* find a property in an element's list */ +PlyProperty *find_property(PlyElement *, char *, int *); + +/* write to a file the word describing a PLY file data type */ +void write_scalar_type (FILE *, int); + +/* read a line from a file and break it up into separate words */ +char **get_words(FILE *, int *, char **); +char **old_get_words(FILE *, int *); + +/* write an item to a file */ +void write_binary_item(FILE *, int, unsigned int, double, int); +void write_ascii_item(FILE *, int, unsigned int, double, int); +double old_write_ascii_item(FILE *, char *, int); + +/* add information to a PLY file descriptor */ +void add_element(PlyFile *, char **, int); +void add_property(PlyFile *, char **, int); +void add_comment(PlyFile *, char *); +void add_obj_info(PlyFile *, char *); + +/* copy a property */ +void copy_property(PlyProperty *, PlyProperty *); + +/* store a value into where a pointer and a type specify */ +void store_item(char *, int, int, unsigned int, double); + +/* return the value of a stored item */ +void get_stored_item( void *, int, int *, unsigned int *, double *); + +/* return the value stored in an item, given ptr to it and its type */ +double get_item_value(char *, int); + +/* get binary or ascii item and store it according to ptr and type */ +void get_ascii_item(char *, int, int *, unsigned int *, double *); +void get_binary_item(FILE *, int, int *, unsigned int *, double *); + +/* get a bunch of elements from a file */ +void ascii_get_element(PlyFile *, char *); +void binary_get_element(PlyFile *, char *); + +/* memory allocation */ +char *my_alloc(int, int, char *); + + +/*************/ +/* Writing */ +/*************/ + + +/****************************************************************************** +Given a file pointer, get ready to write PLY data to the file. + +Entry: + fp - the given file pointer + nelems - number of elements in object + elem_names - list of element names + file_type - file type, either ascii or binary + +Exit: + returns a pointer to a PlyFile, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *ply_write( + FILE *fp, + int nelems, + char **elem_names, + int file_type +) +{ + int i; + PlyFile *plyfile; + PlyElement *elem; + + /* check for NULL file pointer */ + if (fp == NULL) + return (NULL); + + /* create a record for this object */ + + plyfile = (PlyFile *) myalloc (sizeof (PlyFile)); + plyfile->file_type = file_type; + plyfile->num_comments = 0; + plyfile->num_obj_info = 0; + plyfile->nelems = nelems; + plyfile->version = 1.0; + plyfile->fp = fp; + plyfile->other_elems = NULL; + + /* tuck aside the names of the elements */ + + plyfile->elems = (PlyElement **) myalloc (sizeof (PlyElement *) * nelems); + for (i = 0; i < nelems; i++) { + elem = (PlyElement *) myalloc (sizeof (PlyElement)); + plyfile->elems[i] = elem; + elem->name = strdup (elem_names[i]); + elem->num = 0; + elem->nprops = 0; + } + + /* return pointer to the file descriptor */ + return (plyfile); +} + + +/****************************************************************************** +Open a polygon file for writing. + +Entry: + filename - name of file to read from + nelems - number of elements in object + elem_names - list of element names + file_type - file type, either ascii or binary + +Exit: + version - version number of PLY file + returns a file identifier, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *ply_open_for_writing( + char *filename, + int nelems, + char **elem_names, + int file_type, + float *version +) +{ + int i; + PlyFile *plyfile; + PlyElement *elem; + char *name; + FILE *fp; + + /* tack on the extension .ply, if necessary */ + + name = (char *) myalloc (sizeof (char) * (strlen (filename) + 5)); + strcpy (name, filename); + if (strlen (name) < 4 || + strcmp (name + strlen (name) - 4, ".ply") != 0) + strcat (name, ".ply"); + + /* open the file for writing */ + + fp = fopen (name, "w"); + if (fp == NULL) { + return (NULL); + } + + /* create the actual PlyFile structure */ + + plyfile = ply_write (fp, nelems, elem_names, file_type); + if (plyfile == NULL) + return (NULL); + + /* say what PLY file version number we're writing */ + *version = plyfile->version; + + /* return pointer to the file descriptor */ + return (plyfile); +} + + +/****************************************************************************** +Describe an element, including its properties and how many will be written +to the file. + +Entry: + plyfile - file identifier + elem_name - name of element that information is being specified about + nelems - number of elements of this type to be written + nprops - number of properties contained in the element + prop_list - list of properties +******************************************************************************/ + +void ply_describe_element( + PlyFile *plyfile, + char *elem_name, + int nelems, + int nprops, + PlyProperty *prop_list +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + + /* look for appropriate element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf(stderr,"ply_describe_element: can't find element '%s'\n",elem_name); + exit (-1); + } + + elem->num = nelems; + + /* copy the list of properties */ + + elem->nprops = nprops; + elem->props = (PlyProperty **) myalloc (sizeof (PlyProperty *) * nprops); + elem->store_prop = (char *) myalloc (sizeof (char) * nprops); + + for (i = 0; i < nprops; i++) { + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + elem->props[i] = prop; + elem->store_prop[i] = NAMED_PROP; + copy_property (prop, &prop_list[i]); + } +} + + +/****************************************************************************** +Describe a property of an element. + +Entry: + plyfile - file identifier + elem_name - name of element that information is being specified about + prop - the new property +******************************************************************************/ + +void ply_describe_property( + PlyFile *plyfile, + char *elem_name, + PlyProperty *prop +) +{ + PlyElement *elem; + PlyProperty *elem_prop; + + /* look for appropriate element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf(stderr, "ply_describe_property: can't find element '%s'\n", + elem_name); + return; + } + + /* create room for new property */ + + if (elem->nprops == 0) { + elem->props = (PlyProperty **) myalloc (sizeof (PlyProperty *)); + elem->store_prop = (char *) myalloc (sizeof (char)); + elem->nprops = 1; + } + else { + elem->nprops++; + elem->props = (PlyProperty **) + realloc (elem->props, sizeof (PlyProperty *) * elem->nprops); + elem->store_prop = (char *) + realloc (elem->store_prop, sizeof (char) * elem->nprops); + } + + /* copy the new property */ + + elem_prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + elem->props[elem->nprops - 1] = elem_prop; + elem->store_prop[elem->nprops - 1] = NAMED_PROP; + copy_property (elem_prop, prop); +} + + +/****************************************************************************** +Describe what the "other" properties are that are to be stored, and where +they are in an element. +******************************************************************************/ + +void ply_describe_other_properties( + PlyFile *plyfile, + PlyOtherProp *other, + int offset +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + + /* look for appropriate element */ + elem = find_element (plyfile, other->name); + if (elem == NULL) { + fprintf(stderr, "ply_describe_other_properties: can't find element '%s'\n", + other->name); + return; + } + + /* create room for other properties */ + + if (elem->nprops == 0) { + elem->props = (PlyProperty **) + myalloc (sizeof (PlyProperty *) * other->nprops); + elem->store_prop = (char *) myalloc (sizeof (char) * other->nprops); + elem->nprops = 0; + } + else { + int newsize; + newsize = elem->nprops + other->nprops; + elem->props = (PlyProperty **) + realloc (elem->props, sizeof (PlyProperty *) * newsize); + elem->store_prop = (char *) + realloc (elem->store_prop, sizeof (char) * newsize); + } + + /* copy the other properties */ + + for (i = 0; i < other->nprops; i++) { + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + copy_property (prop, other->props[i]); + elem->props[elem->nprops] = prop; + elem->store_prop[elem->nprops] = OTHER_PROP; + elem->nprops++; + } + + /* save other info about other properties */ + elem->other_size = other->size; + elem->other_offset = offset; +} + + +/****************************************************************************** +State how many of a given element will be written. + +Entry: + plyfile - file identifier + elem_name - name of element that information is being specified about + nelems - number of elements of this type to be written +******************************************************************************/ + +void ply_element_count( + PlyFile *plyfile, + char *elem_name, + int nelems +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + + /* look for appropriate element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf(stderr,"ply_element_count: can't find element '%s'\n",elem_name); + exit (-1); + } + + elem->num = nelems; +} + + +/****************************************************************************** +Signal that we've described everything a PLY file's header and that the +header should be written to the file. + +Entry: + plyfile - file identifier +******************************************************************************/ + +void ply_header_complete(PlyFile *plyfile) +{ + int i,j; + FILE *fp = plyfile->fp; + PlyElement *elem; + PlyProperty *prop; + + fprintf (fp, "ply\n"); + + switch (plyfile->file_type) { + case PLY_ASCII: + fprintf (fp, "format ascii 1.0\n"); + break; + case PLY_BINARY_BE: + fprintf (fp, "format binary_big_endian 1.0\n"); + break; + case PLY_BINARY_LE: + fprintf (fp, "format binary_little_endian 1.0\n"); + break; + default: + fprintf (stderr, "ply_header_complete: bad file type = %d\n", + plyfile->file_type); + exit (-1); + } + + /* write out the comments */ + + for (i = 0; i < plyfile->num_comments; i++) + fprintf (fp, "comment %s\n", plyfile->comments[i]); + + /* write out object information */ + + for (i = 0; i < plyfile->num_obj_info; i++) + fprintf (fp, "obj_info %s\n", plyfile->obj_info[i]); + + /* write out information about each element */ + + for (i = 0; i < plyfile->nelems; i++) { + + elem = plyfile->elems[i]; + fprintf (fp, "element %s %d\n", elem->name, elem->num); + + /* write out each property */ + for (j = 0; j < elem->nprops; j++) { + prop = elem->props[j]; + if (prop->is_list) { + fprintf (fp, "property list "); + write_scalar_type (fp, prop->count_external); + fprintf (fp, " "); + write_scalar_type (fp, prop->external_type); + fprintf (fp, " %s\n", prop->name); + } + else { + fprintf (fp, "property "); + write_scalar_type (fp, prop->external_type); + fprintf (fp, " %s\n", prop->name); + } + } + } + + fprintf (fp, "end_header\n"); +} + + +/****************************************************************************** +Specify which elements are going to be written. This should be called +before a call to the routine ply_put_element(). + +Entry: + plyfile - file identifier + elem_name - name of element we're talking about +******************************************************************************/ + +void ply_put_element_setup(PlyFile *plyfile, char *elem_name) +{ + PlyElement *elem; + + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf(stderr, "ply_elements_setup: can't find element '%s'\n", elem_name); + exit (-1); + } + + plyfile->which_elem = elem; +} + + +/****************************************************************************** +Write an element to the file. This routine assumes that we're +writing the type of element specified in the last call to the routine +ply_put_element_setup(). + +Entry: + plyfile - file identifier + elem_ptr - pointer to the element +******************************************************************************/ + +void ply_put_element(PlyFile *plyfile, void *elem_ptr) +{ + int i,j,k; + FILE *fp = plyfile->fp; + PlyElement *elem; + PlyProperty *prop; + char *elem_data,*item; + char **item_ptr; + int list_count; + int item_size; + int int_val; + unsigned int uint_val; + double double_val; + char **other_ptr; + + elem = plyfile->which_elem; + elem_data = (char*) elem_ptr; + other_ptr = (char **) (((char *) elem_ptr) + elem->other_offset); + + /* write out either to an ascii or binary file */ + + if (plyfile->file_type == PLY_ASCII) { + + /* write an ascii file */ + + /* write out each property of the element */ + for (j = 0; j < elem->nprops; j++) { + prop = elem->props[j]; + if (elem->store_prop[j] == OTHER_PROP) + elem_data = *other_ptr; + else + elem_data = (char*) elem_ptr; + if (prop->is_list) { + item = elem_data + prop->count_offset; + get_stored_item ((void *) item, prop->count_internal, + &int_val, &uint_val, &double_val); + write_ascii_item (fp, int_val, uint_val, double_val, + prop->count_external); + list_count = uint_val; + item_ptr = (char **) (elem_data + prop->offset); + item = item_ptr[0]; + item_size = ply_type_size[prop->internal_type]; + for (k = 0; k < list_count; k++) { + get_stored_item ((void *) item, prop->internal_type, + &int_val, &uint_val, &double_val); + write_ascii_item (fp, int_val, uint_val, double_val, + prop->external_type); + item += item_size; + } + } + else { + item = elem_data + prop->offset; + get_stored_item ((void *) item, prop->internal_type, + &int_val, &uint_val, &double_val); + write_ascii_item (fp, int_val, uint_val, double_val, + prop->external_type); + } + } + + fprintf (fp, "\n"); + } + else { + + /* write a binary file */ + + /* write out each property of the element */ + for (j = 0; j < elem->nprops; j++) { + prop = elem->props[j]; + if (elem->store_prop[j] == OTHER_PROP) + elem_data = *other_ptr; + else + elem_data = (char*) elem_ptr; + if (prop->is_list) { + item = elem_data + prop->count_offset; + item_size = ply_type_size[prop->count_internal]; + get_stored_item ((void *) item, prop->count_internal, + &int_val, &uint_val, &double_val); + write_binary_item (fp, int_val, uint_val, double_val, + prop->count_external); + list_count = uint_val; + item_ptr = (char **) (elem_data + prop->offset); + item = item_ptr[0]; + item_size = ply_type_size[prop->internal_type]; + for (k = 0; k < list_count; k++) { + get_stored_item ((void *) item, prop->internal_type, + &int_val, &uint_val, &double_val); + write_binary_item (fp, int_val, uint_val, double_val, + prop->external_type); + item += item_size; + } + } + else { + item = elem_data + prop->offset; + item_size = ply_type_size[prop->internal_type]; + get_stored_item ((void *) item, prop->internal_type, + &int_val, &uint_val, &double_val); + write_binary_item (fp, int_val, uint_val, double_val, + prop->external_type); + } + } + + } +} + + +/****************************************************************************** +Specify a comment that will be written in the header. + +Entry: + plyfile - file identifier + comment - the comment to be written +******************************************************************************/ + +void ply_put_comment(PlyFile *plyfile, char *comment) +{ + /* (re)allocate space for new comment */ + if (plyfile->num_comments == 0) + plyfile->comments = (char **) myalloc (sizeof (char *)); + else + plyfile->comments = (char **) realloc (plyfile->comments, + sizeof (char *) * (plyfile->num_comments + 1)); + + /* add comment to list */ + plyfile->comments[plyfile->num_comments] = strdup (comment); + plyfile->num_comments++; +} + + +/****************************************************************************** +Specify a piece of object information (arbitrary text) that will be written +in the header. + +Entry: + plyfile - file identifier + obj_info - the text information to be written +******************************************************************************/ + +void ply_put_obj_info(PlyFile *plyfile, char *obj_info) +{ + /* (re)allocate space for new info */ + if (plyfile->num_obj_info == 0) + plyfile->obj_info = (char **) myalloc (sizeof (char *)); + else + plyfile->obj_info = (char **) realloc (plyfile->obj_info, + sizeof (char *) * (plyfile->num_obj_info + 1)); + + /* add info to list */ + plyfile->obj_info[plyfile->num_obj_info] = strdup (obj_info); + plyfile->num_obj_info++; +} + + + + + + + +/*************/ +/* Reading */ +/*************/ + + + +/****************************************************************************** +Given a file pointer, get ready to read PLY data from the file. + +Entry: + fp - the given file pointer + +Exit: + nelems - number of elements in object + elem_names - list of element names + returns a pointer to a PlyFile, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *ply_read(FILE *fp, int *nelems, char ***elem_names) +{ + int i,j; + PlyFile *plyfile; + int nwords; + char **words; + int found_format = 0; + char **elist; + PlyElement *elem; + char *orig_line; + + /* check for NULL file pointer */ + if (fp == NULL) + return (NULL); + + /* create record for this object */ + + plyfile = (PlyFile *) myalloc (sizeof (PlyFile)); + plyfile->nelems = 0; + plyfile->comments = NULL; + plyfile->num_comments = 0; + plyfile->obj_info = NULL; + plyfile->num_obj_info = 0; + plyfile->fp = fp; + plyfile->other_elems = NULL; + + /* read and parse the file's header */ + + words = get_words (plyfile->fp, &nwords, &orig_line); + if (!words || !equal_strings (words[0], "ply")) + return (NULL); + + while (words) { + + /* parse words */ + + if (equal_strings (words[0], "format")) { + if (nwords != 3) + return (NULL); + if (equal_strings (words[1], "ascii")) + plyfile->file_type = PLY_ASCII; + else if (equal_strings (words[1], "binary_big_endian")) + plyfile->file_type = PLY_BINARY_BE; + else if (equal_strings (words[1], "binary_little_endian")) + plyfile->file_type = PLY_BINARY_LE; + else + return (NULL); + plyfile->version = atof (words[2]); + found_format = 1; + } + else if (equal_strings (words[0], "element")) + add_element (plyfile, words, nwords); + else if (equal_strings (words[0], "property")) + add_property (plyfile, words, nwords); + else if (equal_strings (words[0], "comment")) + add_comment (plyfile, orig_line); + else if (equal_strings (words[0], "obj_info")) + add_obj_info (plyfile, orig_line); + else if (equal_strings (words[0], "end_header")) + break; + + /* free up words space */ + free (words); + + words = get_words (plyfile->fp, &nwords, &orig_line); + } + + /* create tags for each property of each element, to be used */ + /* later to say whether or not to store each property for the user */ + + for (i = 0; i < plyfile->nelems; i++) { + elem = plyfile->elems[i]; + elem->store_prop = (char *) myalloc (sizeof (char) * elem->nprops); + for (j = 0; j < elem->nprops; j++) + elem->store_prop[j] = DONT_STORE_PROP; + elem->other_offset = NO_OTHER_PROPS; /* no "other" props by default */ + } + + /* set return values about the elements */ + + elist = (char **) myalloc (sizeof (char *) * plyfile->nelems); + for (i = 0; i < plyfile->nelems; i++) + elist[i] = strdup (plyfile->elems[i]->name); + + *elem_names = elist; + *nelems = plyfile->nelems; + + /* return a pointer to the file's information */ + + return (plyfile); +} + + +/****************************************************************************** +Open a polygon file for reading. + +Entry: + filename - name of file to read from + +Exit: + nelems - number of elements in object + elem_names - list of element names + file_type - file type, either ascii or binary + version - version number of PLY file + returns a file identifier, used to refer to this file, or NULL if error +******************************************************************************/ + +PlyFile *ply_open_for_reading( + char *filename, + int *nelems, + char ***elem_names, + int *file_type, + float *version +) +{ + FILE *fp; + PlyFile *plyfile; + char *name; + + /* tack on the extension .ply, if necessary */ + + name = (char *) myalloc (sizeof (char) * (strlen (filename) + 5)); + strcpy (name, filename); + if (strlen (name) < 4 || + strcmp (name + strlen (name) - 4, ".ply") != 0) + strcat (name, ".ply"); + + /* open the file for reading */ + + fp = fopen (name, "r"); + if (fp == NULL) + return (NULL); + + /* create the PlyFile data structure */ + + plyfile = ply_read (fp, nelems, elem_names); + + /* determine the file type and version */ + + *file_type = plyfile->file_type; + *version = plyfile->version; + + /* return a pointer to the file's information */ + + return (plyfile); +} + + +/****************************************************************************** +Get information about a particular element. + +Entry: + plyfile - file identifier + elem_name - name of element to get information about + +Exit: + nelems - number of elements of this type in the file + nprops - number of properties + returns a list of properties, or NULL if the file doesn't contain that elem +******************************************************************************/ + +PlyProperty **ply_get_element_description( + PlyFile *plyfile, + char *elem_name, + int *nelems, + int *nprops +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + PlyProperty **prop_list; + + /* find information about the element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) + return (NULL); + + *nelems = elem->num; + *nprops = elem->nprops; + + /* make a copy of the element's property list */ + prop_list = (PlyProperty **) myalloc (sizeof (PlyProperty *) * elem->nprops); + for (i = 0; i < elem->nprops; i++) { + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + copy_property (prop, elem->props[i]); + prop_list[i] = prop; + } + + /* return this duplicate property list */ + return (prop_list); +} + + +/****************************************************************************** +Specify which properties of an element are to be returned. This should be +called before a call to the routine ply_get_element(). + +Entry: + plyfile - file identifier + elem_name - which element we're talking about + nprops - number of properties + prop_list - list of properties +******************************************************************************/ + +void ply_get_element_setup( + PlyFile *plyfile, + char *elem_name, + int nprops, + PlyProperty *prop_list +) +{ + int i; + PlyElement *elem; + PlyProperty *prop; + int index; + + /* find information about the element */ + elem = find_element (plyfile, elem_name); + plyfile->which_elem = elem; + + /* deposit the property information into the element's description */ + for (i = 0; i < nprops; i++) { + + /* look for actual property */ + prop = find_property (elem, prop_list[i].name, &index); + if (prop == NULL) { + fprintf (stderr, "Warning: Can't find property '%s' in element '%s'\n", + prop_list[i].name, elem_name); + continue; + } + + /* store its description */ + prop->internal_type = prop_list[i].internal_type; + prop->offset = prop_list[i].offset; + prop->count_internal = prop_list[i].count_internal; + prop->count_offset = prop_list[i].count_offset; + + /* specify that the user wants this property */ + elem->store_prop[index] = STORE_PROP; + } +} + + +/****************************************************************************** +Specify a property of an element that is to be returned. This should be +called (usually multiple times) before a call to the routine ply_get_element(). +This routine should be used in preference to the less flexible old routine +called ply_get_element_setup(). + +Entry: + plyfile - file identifier + elem_name - which element we're talking about + prop - property to add to those that will be returned +******************************************************************************/ + +void ply_get_property( + PlyFile *plyfile, + char *elem_name, + PlyProperty *prop +) +{ + PlyElement *elem; + PlyProperty *prop_ptr; + int index; + + /* find information about the element */ + elem = find_element (plyfile, elem_name); + plyfile->which_elem = elem; + + /* deposit the property information into the element's description */ + + prop_ptr = find_property (elem, prop->name, &index); + if (prop_ptr == NULL) { + fprintf (stderr, "Warning: Can't find property '%s' in element '%s'\n", + prop->name, elem_name); + return; + } + prop_ptr->internal_type = prop->internal_type; + prop_ptr->offset = prop->offset; + prop_ptr->count_internal = prop->count_internal; + prop_ptr->count_offset = prop->count_offset; + + /* specify that the user wants this property */ + elem->store_prop[index] = STORE_PROP; +} + + +/****************************************************************************** +Read one element from the file. This routine assumes that we're reading +the type of element specified in the last call to the routine +ply_get_element_setup(). + +Entry: + plyfile - file identifier + elem_ptr - pointer to location where the element information should be put +******************************************************************************/ + +ply_get_element(PlyFile *plyfile, void *elem_ptr) +{ + if (plyfile->file_type == PLY_ASCII) + ascii_get_element (plyfile, (char *) elem_ptr); + else + binary_get_element (plyfile, (char *) elem_ptr); +} + + +/****************************************************************************** +Extract the comments from the header information of a PLY file. + +Entry: + plyfile - file identifier + +Exit: + num_comments - number of comments returned + returns a pointer to a list of comments +******************************************************************************/ + +char **ply_get_comments(PlyFile *plyfile, int *num_comments) +{ + *num_comments = plyfile->num_comments; + return (plyfile->comments); +} + + +/****************************************************************************** +Extract the object information (arbitrary text) from the header information +of a PLY file. + +Entry: + plyfile - file identifier + +Exit: + num_obj_info - number of lines of text information returned + returns a pointer to a list of object info lines +******************************************************************************/ + +char **ply_get_obj_info(PlyFile *plyfile, int *num_obj_info) +{ + *num_obj_info = plyfile->num_obj_info; + return (plyfile->obj_info); +} + + +/****************************************************************************** +Make ready for "other" properties of an element-- those properties that +the user has not explicitly asked for, but that are to be stashed away +in a special structure to be carried along with the element's other +information. + +Entry: + plyfile - file identifier + elem - element for which we want to save away other properties +******************************************************************************/ + +void setup_other_props(PlyFile *plyfile, PlyElement *elem) +{ + int i; + PlyProperty *prop; + int size = 0; + int type_size; + + /* Examine each property in decreasing order of size. */ + /* We do this so that all data types will be aligned by */ + /* word, half-word, or whatever within the structure. */ + + for (type_size = 8; type_size > 0; type_size /= 2) { + + /* add up the space taken by each property, and save this information */ + /* away in the property descriptor */ + + for (i = 0; i < elem->nprops; i++) { + + /* don't bother with properties we've been asked to store explicitly */ + if (elem->store_prop[i]) + continue; + + prop = elem->props[i]; + + /* internal types will be same as external */ + prop->internal_type = prop->external_type; + prop->count_internal = prop->count_external; + + /* check list case */ + if (prop->is_list) { + + /* pointer to list */ + if (type_size == sizeof (void *)) { + prop->offset = size; + size += sizeof (void *); /* always use size of a pointer here */ + } + + /* count of number of list elements */ + if (type_size == ply_type_size[prop->count_external]) { + prop->count_offset = size; + size += ply_type_size[prop->count_external]; + } + } + /* not list */ + else if (type_size == ply_type_size[prop->external_type]) { + prop->offset = size; + size += ply_type_size[prop->external_type]; + } + } + + } + + /* save the size for the other_props structure */ + elem->other_size = size; +} + + +/****************************************************************************** +Specify that we want the "other" properties of an element to be tucked +away within the user's structure. The user needn't be concerned for how +these properties are stored. + +Entry: + plyfile - file identifier + elem_name - name of element that we want to store other_props in + offset - offset to where other_props will be stored inside user's structure + +Exit: + returns pointer to structure containing description of other_props +******************************************************************************/ + +PlyOtherProp *ply_get_other_properties( + PlyFile *plyfile, + char *elem_name, + int offset +) +{ + int i; + PlyElement *elem; + PlyOtherProp *other; + PlyProperty *prop; + int nprops; + + /* find information about the element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf (stderr, "ply_get_other_properties: Can't find element '%s'\n", + elem_name); + return (NULL); + } + + /* remember that this is the "current" element */ + plyfile->which_elem = elem; + + /* save the offset to where to store the other_props */ + elem->other_offset = offset; + + /* place the appropriate pointers, etc. in the element's property list */ + setup_other_props (plyfile, elem); + + /* create structure for describing other_props */ + other = (PlyOtherProp *) myalloc (sizeof (PlyOtherProp)); + other->name = strdup (elem_name); +#if 0 + if (elem->other_offset == NO_OTHER_PROPS) { + other->size = 0; + other->props = NULL; + other->nprops = 0; + return (other); + } +#endif + other->size = elem->other_size; + other->props = (PlyProperty **) myalloc (sizeof(PlyProperty) * elem->nprops); + + /* save descriptions of each "other" property */ + nprops = 0; + for (i = 0; i < elem->nprops; i++) { + if (elem->store_prop[i]) + continue; + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + copy_property (prop, elem->props[i]); + other->props[nprops] = prop; + nprops++; + } + other->nprops = nprops; + +#if 1 + /* set other_offset pointer appropriately if there are NO other properties */ + if (other->nprops == 0) { + elem->other_offset = NO_OTHER_PROPS; + } +#endif + + /* return structure */ + return (other); +} + + + + +/*************************/ +/* Other Element Stuff */ +/*************************/ + + + + +/****************************************************************************** +Grab all the data for an element that a user does not want to explicitly +read in. + +Entry: + plyfile - pointer to file + elem_name - name of element whose data is to be read in + elem_count - number of instances of this element stored in the file + +Exit: + returns pointer to ALL the "other" element data for this PLY file +******************************************************************************/ + +PlyOtherElems *ply_get_other_element ( + PlyFile *plyfile, + char *elem_name, + int elem_count +) +{ + int i; + PlyElement *elem; + PlyOtherElems *other_elems; + OtherElem *other; + int num_elems; + + /* look for appropriate element */ + elem = find_element (plyfile, elem_name); + if (elem == NULL) { + fprintf (stderr, + "ply_get_other_element: can't find element '%s'\n", elem_name); + exit (-1); + } + + /* create room for the new "other" element, initializing the */ + /* other data structure if necessary */ + + if (plyfile->other_elems == NULL) { + plyfile->other_elems = (PlyOtherElems *) myalloc (sizeof (PlyOtherElems)); + other_elems = plyfile->other_elems; + other_elems->other_list = (OtherElem *) myalloc (sizeof (OtherElem)); + other = &(other_elems->other_list[0]); + other_elems->num_elems = 1; + } + else { + other_elems = plyfile->other_elems; + other_elems->other_list = (OtherElem *) realloc (other_elems->other_list, + sizeof (OtherElem) * other_elems->num_elems + 1); + other = &(other_elems->other_list[other_elems->num_elems]); + other_elems->num_elems++; + } + + /* count of element instances in file */ + other->elem_count = elem_count; + + /* save name of element */ + other->elem_name = strdup (elem_name); + + /* create a list to hold all the current elements */ + other->other_data = (OtherData **) + malloc (sizeof (OtherData *) * other->elem_count); + + /* set up for getting elements */ + other->other_props = ply_get_other_properties (plyfile, elem_name, + offsetof(OtherData,other_props)); + + /* grab all these elements */ + for (i = 0; i < other->elem_count; i++) { + /* grab and element from the file */ + other->other_data[i] = (OtherData *) malloc (sizeof (OtherData)); + ply_get_element (plyfile, (void *) other->other_data[i]); + } + + /* return pointer to the other elements data */ + return (other_elems); +} + + +/****************************************************************************** +Pass along a pointer to "other" elements that we want to save in a given +PLY file. These other elements were presumably read from another PLY file. + +Entry: + plyfile - file pointer in which to store this other element info + other_elems - info about other elements that we want to store +******************************************************************************/ + +void ply_describe_other_elements ( + PlyFile *plyfile, + PlyOtherElems *other_elems +) +{ + int i; + OtherElem *other; + + /* ignore this call if there is no other element */ + if (other_elems == NULL) + return; + + /* save pointer to this information */ + plyfile->other_elems = other_elems; + + /* describe the other properties of this element */ + + for (i = 0; i < other_elems->num_elems; i++) { + other = &(other_elems->other_list[i]); + ply_element_count (plyfile, other->elem_name, other->elem_count); + ply_describe_other_properties (plyfile, other->other_props, + offsetof(OtherData,other_props)); + } +} + + +/****************************************************************************** +Write out the "other" elements specified for this PLY file. + +Entry: + plyfile - pointer to PLY file to write out other elements for +******************************************************************************/ + +void ply_put_other_elements (PlyFile *plyfile) +{ + int i,j; + OtherElem *other; + + /* make sure we have other elements to write */ + if (plyfile->other_elems == NULL) + return; + + /* write out the data for each "other" element */ + + for (i = 0; i < plyfile->other_elems->num_elems; i++) { + + other = &(plyfile->other_elems->other_list[i]); + ply_put_element_setup (plyfile, other->elem_name); + + /* write out each instance of the current element */ + for (j = 0; j < other->elem_count; j++) + ply_put_element (plyfile, (void *) other->other_data[j]); + } +} + + +/****************************************************************************** +Free up storage used by an "other" elements data structure. + +Entry: + other_elems - data structure to free up +******************************************************************************/ + +void ply_free_other_elements (PlyOtherElems *other_elems) +{ + +} + + + +/*******************/ +/* Miscellaneous */ +/*******************/ + + + +/****************************************************************************** +Close a PLY file. + +Entry: + plyfile - identifier of file to close +******************************************************************************/ + +void ply_close(PlyFile *plyfile) +{ + fclose (plyfile->fp); + + /* free up memory associated with the PLY file */ + free (plyfile); +} + + +/****************************************************************************** +Get version number and file type of a PlyFile. + +Entry: + ply - pointer to PLY file + +Exit: + version - version of the file + file_type - PLY_ASCII, PLY_BINARY_BE, or PLY_BINARY_LE +******************************************************************************/ + +void ply_get_info(PlyFile *ply, float *version, int *file_type) +{ + if (ply == NULL) + return; + + *version = ply->version; + *file_type = ply->file_type; +} + + +/****************************************************************************** +Compare two strings. Returns 1 if they are the same, 0 if not. +******************************************************************************/ + +int equal_strings(char *s1, char *s2) +{ + int i; + + while (*s1 && *s2) + if (*s1++ != *s2++) + return (0); + + if (*s1 != *s2) + return (0); + else + return (1); +} + + +/****************************************************************************** +Find an element from the element list of a given PLY object. + +Entry: + plyfile - file id for PLY file + element - name of element we're looking for + +Exit: + returns the element, or NULL if not found +******************************************************************************/ + +PlyElement *find_element(PlyFile *plyfile, char *element) +{ + int i; + + for (i = 0; i < plyfile->nelems; i++) + if (equal_strings (element, plyfile->elems[i]->name)) + return (plyfile->elems[i]); + + return (NULL); +} + + +/****************************************************************************** +Find a property in the list of properties of a given element. + +Entry: + elem - pointer to element in which we want to find the property + prop_name - name of property to find + +Exit: + index - index to position in list + returns a pointer to the property, or NULL if not found +******************************************************************************/ + +PlyProperty *find_property(PlyElement *elem, char *prop_name, int *index) +{ + int i; + + for (i = 0; i < elem->nprops; i++) + if (equal_strings (prop_name, elem->props[i]->name)) { + *index = i; + return (elem->props[i]); + } + + *index = -1; + return (NULL); +} + + +/****************************************************************************** +Read an element from an ascii file. + +Entry: + plyfile - file identifier + elem_ptr - pointer to element +******************************************************************************/ + +void ascii_get_element(PlyFile *plyfile, char *elem_ptr) +{ + int i,j,k; + PlyElement *elem; + PlyProperty *prop; + char **words; + int nwords; + int which_word; + FILE *fp = plyfile->fp; + char *elem_data,*item; + char *item_ptr; + int item_size; + int int_val; + unsigned int uint_val; + double double_val; + int list_count; + int store_it; + char **store_array; + char *orig_line; + char *other_data; + int other_flag; + + /* the kind of element we're reading currently */ + elem = plyfile->which_elem; + + /* do we need to setup for other_props? */ + + if (elem->other_offset != NO_OTHER_PROPS) { + char **ptr; + other_flag = 1; + /* make room for other_props */ + other_data = (char *) myalloc (elem->other_size); + /* store pointer in user's structure to the other_props */ + ptr = (char **) (elem_ptr + elem->other_offset); + *ptr = other_data; + } + else + other_flag = 0; + + /* read in the element */ + + words = get_words (plyfile->fp, &nwords, &orig_line); + if (words == NULL) { + fprintf (stderr, "ply_get_element: unexpected end of file\n"); + exit (-1); + } + + which_word = 0; + + for (j = 0; j < elem->nprops; j++) { + + prop = elem->props[j]; + store_it = (elem->store_prop[j] | other_flag); + + /* store either in the user's structure or in other_props */ + if (elem->store_prop[j]) + elem_data = elem_ptr; + else + elem_data = other_data; + + if (prop->is_list) { /* a list */ + + /* get and store the number of items in the list */ + get_ascii_item (words[which_word++], prop->count_external, + &int_val, &uint_val, &double_val); + if (store_it) { + item = elem_data + prop->count_offset; + store_item(item, prop->count_internal, int_val, uint_val, double_val); + } + + /* allocate space for an array of items and store a ptr to the array */ + list_count = int_val; + item_size = ply_type_size[prop->internal_type]; + store_array = (char **) (elem_data + prop->offset); + + if (list_count == 0) { + if (store_it) + *store_array = NULL; + } + else { + if (store_it) { + item_ptr = (char *) myalloc (sizeof (char) * item_size * list_count); + item = item_ptr; + *store_array = item_ptr; + } + + /* read items and store them into the array */ + for (k = 0; k < list_count; k++) { + get_ascii_item (words[which_word++], prop->external_type, + &int_val, &uint_val, &double_val); + if (store_it) { + store_item (item, prop->internal_type, + int_val, uint_val, double_val); + item += item_size; + } + } + } + + } + else { /* not a list */ + get_ascii_item (words[which_word++], prop->external_type, + &int_val, &uint_val, &double_val); + if (store_it) { + item = elem_data + prop->offset; + store_item (item, prop->internal_type, int_val, uint_val, double_val); + } + } + + } + + free (words); +} + + +/****************************************************************************** +Read an element from a binary file. + +Entry: + plyfile - file identifier + elem_ptr - pointer to an element +******************************************************************************/ + +void binary_get_element(PlyFile *plyfile, char *elem_ptr) +{ + int i,j,k; + PlyElement *elem; + PlyProperty *prop; + FILE *fp = plyfile->fp; + char *elem_data,*item; + char *item_ptr; + int item_size; + int int_val; + unsigned int uint_val; + double double_val; + int list_count; + int store_it; + char **store_array; + char *other_data; + int other_flag; + + /* the kind of element we're reading currently */ + elem = plyfile->which_elem; + + /* do we need to setup for other_props? */ + + if (elem->other_offset != NO_OTHER_PROPS) { + char **ptr; + other_flag = 1; + /* make room for other_props */ + other_data = (char *) myalloc (elem->other_size); + /* store pointer in user's structure to the other_props */ + ptr = (char **) (elem_ptr + elem->other_offset); + *ptr = other_data; + } + else + other_flag = 0; + + /* read in a number of elements */ + + for (j = 0; j < elem->nprops; j++) { + + prop = elem->props[j]; + store_it = (elem->store_prop[j] | other_flag); + + /* store either in the user's structure or in other_props */ + if (elem->store_prop[j]) + elem_data = elem_ptr; + else + elem_data = other_data; + + if (prop->is_list) { /* a list */ + + /* get and store the number of items in the list */ + get_binary_item (fp, prop->count_external, + &int_val, &uint_val, &double_val); + if (store_it) { + item = elem_data + prop->count_offset; + store_item(item, prop->count_internal, int_val, uint_val, double_val); + } + + /* allocate space for an array of items and store a ptr to the array */ + list_count = int_val; + /* The "if" was added by Afra Zomorodian 8/22/95 + * so that zipper won't crash reading plies that have additional + * properties. + */ + if (store_it) { + item_size = ply_type_size[prop->internal_type]; + } + store_array = (char **) (elem_data + prop->offset); + if (list_count == 0) { + if (store_it) + *store_array = NULL; + } + else { + if (store_it) { + item_ptr = (char *) myalloc (sizeof (char) * item_size * list_count); + item = item_ptr; + *store_array = item_ptr; + } + + /* read items and store them into the array */ + for (k = 0; k < list_count; k++) { + get_binary_item (fp, prop->external_type, + &int_val, &uint_val, &double_val); + if (store_it) { + store_item (item, prop->internal_type, + int_val, uint_val, double_val); + item += item_size; + } + } + } + + } + else { /* not a list */ + get_binary_item (fp, prop->external_type, + &int_val, &uint_val, &double_val); + if (store_it) { + item = elem_data + prop->offset; + store_item (item, prop->internal_type, int_val, uint_val, double_val); + } + } + + } +} + + +/****************************************************************************** +Write to a file the word that represents a PLY data type. + +Entry: + fp - file pointer + code - code for type +******************************************************************************/ + +void write_scalar_type (FILE *fp, int code) +{ + /* make sure this is a valid code */ + + if (code <= PLY_START_TYPE || code >= PLY_END_TYPE) { + fprintf (stderr, "write_scalar_type: bad data code = %d\n", code); + exit (-1); + } + + /* write the code to a file */ + + fprintf (fp, "%s", type_names[code]); +} + + +/****************************************************************************** +Get a text line from a file and break it up into words. + +IMPORTANT: The calling routine call "free" on the returned pointer once +finished with it. + +Entry: + fp - file to read from + +Exit: + nwords - number of words returned + orig_line - the original line of characters + returns a list of words from the line, or NULL if end-of-file +******************************************************************************/ + +char **get_words(FILE *fp, int *nwords, char **orig_line) +{ +#define BIG_STRING 4096 + int i,j; + static char str[BIG_STRING]; + static char str_copy[BIG_STRING]; + char **words; + int max_words = 10; + int num_words = 0; + char *ptr,*ptr2; + char *result; + + words = (char **) myalloc (sizeof (char *) * max_words); + + /* read in a line */ + result = fgets (str, BIG_STRING, fp); + if (result == NULL) { + *nwords = 0; + *orig_line = NULL; + return (NULL); + } + + /* convert line-feed and tabs into spaces */ + /* (this guarentees that there will be a space before the */ + /* null character at the end of the string) */ + + str[BIG_STRING-2] = ' '; + str[BIG_STRING-1] = '\0'; + + for (ptr = str, ptr2 = str_copy; *ptr != '\0'; ptr++, ptr2++) { + *ptr2 = *ptr; + if (*ptr == '\t') { + *ptr = ' '; + *ptr2 = ' '; + } + else if (*ptr == '\n') { + *ptr = ' '; + *ptr2 = '\0'; + break; + } + } + + /* find the words in the line */ + + ptr = str; + while (*ptr != '\0') { + + /* jump over leading spaces */ + while (*ptr == ' ') + ptr++; + + /* break if we reach the end */ + if (*ptr == '\0') + break; + + /* save pointer to beginning of word */ + if (num_words >= max_words) { + max_words += 10; + words = (char **) realloc (words, sizeof (char *) * max_words); + } + words[num_words++] = ptr; + + /* jump over non-spaces */ + while (*ptr != ' ') + ptr++; + + /* place a null character here to mark the end of the word */ + *ptr++ = '\0'; + } + + /* return the list of words */ + *nwords = num_words; + *orig_line = str_copy; + return (words); +} + + +/****************************************************************************** +Return the value of an item, given a pointer to it and its type. + +Entry: + item - pointer to item + type - data type that "item" points to + +Exit: + returns a double-precision float that contains the value of the item +******************************************************************************/ + +double get_item_value(char *item, int type) +{ + unsigned char *puchar; + char *pchar; + short int *pshort; + unsigned short int *pushort; + int *pint; + unsigned int *puint; + float *pfloat; + double *pdouble; + int int_value; + unsigned int uint_value; + double double_value; + + switch (type) { + case PLY_CHAR: + pchar = (char *) item; + int_value = *pchar; + return ((double) int_value); + case PLY_UCHAR: + puchar = (unsigned char *) item; + int_value = *puchar; + return ((double) int_value); + case PLY_SHORT: + pshort = (short int *) item; + int_value = *pshort; + return ((double) int_value); + case PLY_USHORT: + pushort = (unsigned short int *) item; + int_value = *pushort; + return ((double) int_value); + case PLY_INT: + pint = (int *) item; + int_value = *pint; + return ((double) int_value); + case PLY_UINT: + puint = (unsigned int *) item; + uint_value = *puint; + return ((double) uint_value); + case PLY_FLOAT: + pfloat = (float *) item; + double_value = *pfloat; + return (double_value); + case PLY_DOUBLE: + pdouble = (double *) item; + double_value = *pdouble; + return (double_value); + default: + fprintf (stderr, "get_item_value: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Write out an item to a file as raw binary bytes. + +Entry: + fp - file to write to + int_val - integer version of item + uint_val - unsigned integer version of item + double_val - double-precision float version of item + type - data type to write out +******************************************************************************/ + +void write_binary_item( + FILE *fp, + int int_val, + unsigned int uint_val, + double double_val, + int type +) +{ + unsigned char uchar_val; + char char_val; + unsigned short ushort_val; + short short_val; + float float_val; + + switch (type) { + case PLY_CHAR: + char_val = int_val; + fwrite (&char_val, 1, 1, fp); + break; + case PLY_SHORT: + short_val = int_val; + fwrite (&short_val, 2, 1, fp); + break; + case PLY_INT: + fwrite (&int_val, 4, 1, fp); + break; + case PLY_UCHAR: + uchar_val = uint_val; + fwrite (&uchar_val, 1, 1, fp); + break; + case PLY_USHORT: + ushort_val = uint_val; + fwrite (&ushort_val, 2, 1, fp); + break; + case PLY_UINT: + fwrite (&uint_val, 4, 1, fp); + break; + case PLY_FLOAT: + float_val = double_val; + fwrite (&float_val, 4, 1, fp); + break; + case PLY_DOUBLE: + fwrite (&double_val, 8, 1, fp); + break; + default: + fprintf (stderr, "write_binary_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Write out an item to a file as ascii characters. + +Entry: + fp - file to write to + int_val - integer version of item + uint_val - unsigned integer version of item + double_val - double-precision float version of item + type - data type to write out +******************************************************************************/ + +void write_ascii_item( + FILE *fp, + int int_val, + unsigned int uint_val, + double double_val, + int type +) +{ + switch (type) { + case PLY_CHAR: + case PLY_SHORT: + case PLY_INT: + fprintf (fp, "%d ", int_val); + break; + case PLY_UCHAR: + case PLY_USHORT: + case PLY_UINT: + fprintf (fp, "%u ", uint_val); + break; + case PLY_FLOAT: + case PLY_DOUBLE: + fprintf (fp, "%g ", double_val); + break; + default: + fprintf (stderr, "write_ascii_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Write out an item to a file as ascii characters. + +Entry: + fp - file to write to + item - pointer to item to write + type - data type that "item" points to + +Exit: + returns a double-precision float that contains the value of the written item +******************************************************************************/ + +double old_write_ascii_item(FILE *fp, char *item, int type) +{ + unsigned char *puchar; + char *pchar; + short int *pshort; + unsigned short int *pushort; + int *pint; + unsigned int *puint; + float *pfloat; + double *pdouble; + int int_value; + unsigned int uint_value; + double double_value; + + switch (type) { + case PLY_CHAR: + pchar = (char *) item; + int_value = *pchar; + fprintf (fp, "%d ", int_value); + return ((double) int_value); + case PLY_UCHAR: + puchar = (unsigned char *) item; + int_value = *puchar; + fprintf (fp, "%d ", int_value); + return ((double) int_value); + case PLY_SHORT: + pshort = (short int *) item; + int_value = *pshort; + fprintf (fp, "%d ", int_value); + return ((double) int_value); + case PLY_USHORT: + pushort = (unsigned short int *) item; + int_value = *pushort; + fprintf (fp, "%d ", int_value); + return ((double) int_value); + case PLY_INT: + pint = (int *) item; + int_value = *pint; + fprintf (fp, "%d ", int_value); + return ((double) int_value); + case PLY_UINT: + puint = (unsigned int *) item; + uint_value = *puint; + fprintf (fp, "%u ", uint_value); + return ((double) uint_value); + case PLY_FLOAT: + pfloat = (float *) item; + double_value = *pfloat; + fprintf (fp, "%g ", double_value); + return (double_value); + case PLY_DOUBLE: + pdouble = (double *) item; + double_value = *pdouble; + fprintf (fp, "%g ", double_value); + return (double_value); + default: + fprintf (stderr, "old_write_ascii_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Get the value of an item that is in memory, and place the result +into an integer, an unsigned integer and a double. + +Entry: + ptr - pointer to the item + type - data type supposedly in the item + +Exit: + int_val - integer value + uint_val - unsigned integer value + double_val - double-precision floating point value +******************************************************************************/ + +void get_stored_item( + void *ptr, + int type, + int *int_val, + unsigned int *uint_val, + double *double_val +) +{ + switch (type) { + case PLY_CHAR: + *int_val = *((char *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case PLY_UCHAR: + *uint_val = *((unsigned char *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case PLY_SHORT: + *int_val = *((short int *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case PLY_USHORT: + *uint_val = *((unsigned short int *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case PLY_INT: + *int_val = *((int *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case PLY_UINT: + *uint_val = *((unsigned int *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case PLY_FLOAT: + *double_val = *((float *) ptr); + *int_val = *double_val; + *uint_val = *double_val; + break; + case PLY_DOUBLE: + *double_val = *((double *) ptr); + *int_val = *double_val; + *uint_val = *double_val; + break; + default: + fprintf (stderr, "get_stored_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Get the value of an item from a binary file, and place the result +into an integer, an unsigned integer and a double. + +Entry: + fp - file to get item from + type - data type supposedly in the word + +Exit: + int_val - integer value + uint_val - unsigned integer value + double_val - double-precision floating point value +******************************************************************************/ + +void get_binary_item( + FILE *fp, + int type, + int *int_val, + unsigned int *uint_val, + double *double_val +) +{ + char c[8]; + void *ptr; + + ptr = (void *) c; + + switch (type) { + case PLY_CHAR: + fread (ptr, 1, 1, fp); + *int_val = *((char *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case PLY_UCHAR: + fread (ptr, 1, 1, fp); + *uint_val = *((unsigned char *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case PLY_SHORT: + fread (ptr, 2, 1, fp); + *int_val = *((short int *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case PLY_USHORT: + fread (ptr, 2, 1, fp); + *uint_val = *((unsigned short int *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case PLY_INT: + fread (ptr, 4, 1, fp); + *int_val = *((int *) ptr); + *uint_val = *int_val; + *double_val = *int_val; + break; + case PLY_UINT: + fread (ptr, 4, 1, fp); + *uint_val = *((unsigned int *) ptr); + *int_val = *uint_val; + *double_val = *uint_val; + break; + case PLY_FLOAT: + fread (ptr, 4, 1, fp); + *double_val = *((float *) ptr); + *int_val = *double_val; + *uint_val = *double_val; + break; + case PLY_DOUBLE: + fread (ptr, 8, 1, fp); + *double_val = *((double *) ptr); + *int_val = *double_val; + *uint_val = *double_val; + break; + default: + fprintf (stderr, "get_binary_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Extract the value of an item from an ascii word, and place the result +into an integer, an unsigned integer and a double. + +Entry: + word - word to extract value from + type - data type supposedly in the word + +Exit: + int_val - integer value + uint_val - unsigned integer value + double_val - double-precision floating point value +******************************************************************************/ + +void get_ascii_item( + char *word, + int type, + int *int_val, + unsigned int *uint_val, + double *double_val +) +{ + switch (type) { + case PLY_CHAR: + case PLY_UCHAR: + case PLY_SHORT: + case PLY_USHORT: + case PLY_INT: + *int_val = atoi (word); + *uint_val = *int_val; + *double_val = *int_val; + break; + + case PLY_UINT: + *uint_val = strtoul (word, (char **) NULL, 10); + *int_val = *uint_val; + *double_val = *uint_val; + break; + + case PLY_FLOAT: + case PLY_DOUBLE: + *double_val = atof (word); + *int_val = (int) *double_val; + *uint_val = (unsigned int) *double_val; + break; + + default: + fprintf (stderr, "get_ascii_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Store a value into a place being pointed to, guided by a data type. + +Entry: + item - place to store value + type - data type + int_val - integer version of value + uint_val - unsigned integer version of value + double_val - double version of value + +Exit: + item - pointer to stored value +******************************************************************************/ + +void store_item ( + char *item, + int type, + int int_val, + unsigned int uint_val, + double double_val +) +{ + unsigned char *puchar; + short int *pshort; + unsigned short int *pushort; + int *pint; + unsigned int *puint; + float *pfloat; + double *pdouble; + + switch (type) { + case PLY_CHAR: + *item = int_val; + break; + case PLY_UCHAR: + puchar = (unsigned char *) item; + *puchar = uint_val; + break; + case PLY_SHORT: + pshort = (short *) item; + *pshort = int_val; + break; + case PLY_USHORT: + pushort = (unsigned short *) item; + *pushort = uint_val; + break; + case PLY_INT: + pint = (int *) item; + *pint = int_val; + break; + case PLY_UINT: + puint = (unsigned int *) item; + *puint = uint_val; + break; + case PLY_FLOAT: + pfloat = (float *) item; + *pfloat = double_val; + break; + case PLY_DOUBLE: + pdouble = (double *) item; + *pdouble = double_val; + break; + default: + fprintf (stderr, "store_item: bad type = %d\n", type); + exit (-1); + } +} + + +/****************************************************************************** +Add an element to a PLY file descriptor. + +Entry: + plyfile - PLY file descriptor + words - list of words describing the element + nwords - number of words in the list +******************************************************************************/ + +void add_element (PlyFile *plyfile, char **words, int nwords) +{ + PlyElement *elem; + + /* create the new element */ + elem = (PlyElement *) myalloc (sizeof (PlyElement)); + elem->name = strdup (words[1]); + elem->num = atoi (words[2]); + elem->nprops = 0; + + /* make room for new element in the object's list of elements */ + if (plyfile->nelems == 0) + plyfile->elems = (PlyElement **) myalloc (sizeof (PlyElement *)); + else + plyfile->elems = (PlyElement **) realloc (plyfile->elems, + sizeof (PlyElement *) * (plyfile->nelems + 1)); + + /* add the new element to the object's list */ + plyfile->elems[plyfile->nelems] = elem; + plyfile->nelems++; +} + + +/****************************************************************************** +Return the type of a property, given the name of the property. + +Entry: + name - name of property type + +Exit: + returns integer code for property, or 0 if not found +******************************************************************************/ + +int get_prop_type(char *type_name) +{ + int i; + + for (i = PLY_START_TYPE + 1; i < PLY_END_TYPE; i++) + if (equal_strings (type_name, type_names[i])) + return (i); + + /* if we get here, we didn't find the type */ + return (0); +} + + +/****************************************************************************** +Add a property to a PLY file descriptor. + +Entry: + plyfile - PLY file descriptor + words - list of words describing the property + nwords - number of words in the list +******************************************************************************/ + +void add_property (PlyFile *plyfile, char **words, int nwords) +{ + int prop_type; + int count_type; + PlyProperty *prop; + PlyElement *elem; + + /* create the new property */ + + prop = (PlyProperty *) myalloc (sizeof (PlyProperty)); + + if (equal_strings (words[1], "list")) { /* is a list */ + prop->count_external = get_prop_type (words[2]); + prop->external_type = get_prop_type (words[3]); + prop->name = strdup (words[4]); + prop->is_list = 1; + } + else { /* not a list */ + prop->external_type = get_prop_type (words[1]); + prop->name = strdup (words[2]); + prop->is_list = 0; + } + + /* add this property to the list of properties of the current element */ + + elem = plyfile->elems[plyfile->nelems - 1]; + + if (elem->nprops == 0) + elem->props = (PlyProperty **) myalloc (sizeof (PlyProperty *)); + else + elem->props = (PlyProperty **) realloc (elem->props, + sizeof (PlyProperty *) * (elem->nprops + 1)); + + elem->props[elem->nprops] = prop; + elem->nprops++; +} + + +/****************************************************************************** +Add a comment to a PLY file descriptor. + +Entry: + plyfile - PLY file descriptor + line - line containing comment +******************************************************************************/ + +void add_comment (PlyFile *plyfile, char *line) +{ + int i; + + /* skip over "comment" and leading spaces and tabs */ + i = 7; + while (line[i] == ' ' || line[i] == '\t') + i++; + + ply_put_comment (plyfile, &line[i]); +} + + +/****************************************************************************** +Add a some object information to a PLY file descriptor. + +Entry: + plyfile - PLY file descriptor + line - line containing text info +******************************************************************************/ + +void add_obj_info (PlyFile *plyfile, char *line) +{ + int i; + + /* skip over "obj_info" and leading spaces and tabs */ + i = 8; + while (line[i] == ' ' || line[i] == '\t') + i++; + + ply_put_obj_info (plyfile, &line[i]); +} + + +/****************************************************************************** +Copy a property. +******************************************************************************/ + +void copy_property(PlyProperty *dest, PlyProperty *src) +{ + dest->name = strdup (src->name); + dest->external_type = src->external_type; + dest->internal_type = src->internal_type; + dest->offset = src->offset; + + dest->is_list = src->is_list; + dest->count_external = src->count_external; + dest->count_internal = src->count_internal; + dest->count_offset = src->count_offset; +} + + +/****************************************************************************** +Allocate some memory. + +Entry: + size - amount of memory requested (in bytes) + lnum - line number from which memory was requested + fname - file name from which memory was requested +******************************************************************************/ + +static char *my_alloc(int size, int lnum, char *fname) +{ + char *ptr; + + ptr = (char *) malloc (size); + + if (ptr == 0) { + fprintf(stderr, "Memory allocation bombed on line %d in %s\n", lnum, fname); + } + + return (ptr); +} + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/plytest.c b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/plytest.c new file mode 100644 index 0000000..2c9f282 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/ply/plytest.c @@ -0,0 +1,272 @@ +/* + +Sample code showing how to read and write PLY polygon files. + +Greg Turk, March 1994 + +*/ + +#include +#include +#include + +/* user's vertex and face definitions for a polygonal object */ + +typedef struct Vertex { + float x,y,z; /* the usual 3-space position of a vertex */ +} Vertex; + +typedef struct Face { + unsigned char intensity; /* this user attaches intensity to faces */ + unsigned char nverts; /* number of vertex indices in list */ + int *verts; /* vertex index list */ +} Face; + +/* polygon description of an object (a cube) */ + +Vertex verts[] = { /* vertices */ + { 0.0, 0.0, 0.0}, + { 1.0, 0.0, 0.0}, + { 1.0, 1.0, 0.0}, + { 0.0, 1.0, 0.0}, + { 0.0, 0.0, 1.0}, + { 1.0, 0.0, 1.0}, + { 1.0, 1.0, 1.0}, + { 0.0, 1.0, 1.0}, +}; + +Face faces[] = { /* faces */ + { '\001', 4, NULL }, /* intensity, vertex list count, vertex list (empty) */ + { '\004', 4, NULL }, + { '\010', 4, NULL }, + { '\020', 4, NULL }, + { '\144', 4, NULL }, + { '\377', 4, NULL }, +}; + +/* list of vertices for each face */ +/* (notice that indices begin at zero) */ + +typedef int Vertex_Indices[4]; +Vertex_Indices vert_ptrs[] = { + { 0, 1, 2, 3 }, + { 7, 6, 5, 4 }, + { 0, 4, 5, 1 }, + { 1, 5, 6, 2 }, + { 2, 6, 7, 3 }, + { 3, 7, 4, 0 }, +}; + +/* information needed to describe the user's data to the PLY routines */ + +char *elem_names[] = { /* list of the kinds of elements in the user's object */ + "vertex", "face" +}; + +PlyProperty vert_props[] = { /* list of property information for a vertex */ + {"x", PLY_FLOAT, PLY_FLOAT, offsetof(Vertex,x), 0, 0, 0, 0}, + {"y", PLY_FLOAT, PLY_FLOAT, offsetof(Vertex,y), 0, 0, 0, 0}, + {"z", PLY_FLOAT, PLY_FLOAT, offsetof(Vertex,z), 0, 0, 0, 0}, +}; + +PlyProperty face_props[] = { /* list of property information for a vertex */ + {"intensity", PLY_UCHAR, PLY_UCHAR, offsetof(Face,intensity), 0, 0, 0, 0}, + {"vertex_indices", PLY_INT, PLY_INT, offsetof(Face,verts), + 1, PLY_UCHAR, PLY_UCHAR, offsetof(Face,nverts)}, +}; + + + +/****************************************************************************** +The main routine just creates and then reads a PLY file. +******************************************************************************/ + +main() +{ + +#if 1 + /* write a PLY file */ + write_test(); +#endif + +#if 1 + /* read a PLY file */ + read_test(); +#endif + +} + + +/****************************************************************************** +Write out a PLY file. +******************************************************************************/ + +write_test() +{ + int i,j; + PlyFile *ply; + int nelems; + char **elist; + int file_type; + float version; + int nverts = sizeof (verts) / sizeof (Vertex); + int nfaces = sizeof (faces) / sizeof (Face); + + /* create the vertex index lists for the faces */ + for (i = 0; i < nfaces; i++) + faces[i].verts = vert_ptrs[i]; + + /* open either a binary or ascii PLY file for writing */ + /* (the file will be called "test.ply" because the routines */ + /* enforce the .ply filename extension) */ + +#if 1 + ply = ply_open_for_writing("test", 2, elem_names, PLY_ASCII, &version); +#else + ply = ply_open_for_writing("test", 2, elem_names, PLY_BINARY_BE, &version); +#endif + + /* describe what properties go into the vertex and face elements */ + + ply_element_count (ply, "vertex", nverts); + ply_describe_property (ply, "vertex", &vert_props[0]); + ply_describe_property (ply, "vertex", &vert_props[1]); + ply_describe_property (ply, "vertex", &vert_props[2]); + + ply_element_count (ply, "face", nfaces); + ply_describe_property (ply, "face", &face_props[0]); + ply_describe_property (ply, "face", &face_props[1]); + + /* write a comment and an object information field */ + ply_put_comment (ply, "author: Greg Turk"); + ply_put_obj_info (ply, "random information"); + + /* we have described exactly what we will put in the file, so */ + /* we are now done with the header info */ + ply_header_complete (ply); + + /* set up and write the vertex elements */ + ply_put_element_setup (ply, "vertex"); + for (i = 0; i < nverts; i++) + ply_put_element (ply, (void *) &verts[i]); + + /* set up and write the face elements */ + ply_put_element_setup (ply, "face"); + for (i = 0; i < nfaces; i++) + ply_put_element (ply, (void *) &faces[i]); + + /* close the PLY file */ + ply_close (ply); +} + + +/****************************************************************************** +Read in a PLY file. +******************************************************************************/ + +read_test() +{ + int i,j,k; + PlyFile *ply; + int nelems; + char **elist; + int file_type; + float version; + int nprops; + int num_elems; + PlyProperty **plist; + Vertex **vlist; + Face **flist; + char *elem_name; + int num_comments; + char **comments; + int num_obj_info; + char **obj_info; + + /* open a PLY file for reading */ + ply = ply_open_for_reading("test", &nelems, &elist, &file_type, &version); + + /* print what we found out about the file */ + printf ("version %f\n", version); + printf ("type %d\n", file_type); + + /* go through each kind of element that we learned is in the file */ + /* and read them */ + + for (i = 0; i < nelems; i++) { + + /* get the description of the first element */ + elem_name = elist[i]; + plist = ply_get_element_description (ply, elem_name, &num_elems, &nprops); + + /* print the name of the element, for debugging */ + printf ("element %s %d\n", elem_name, num_elems); + + /* if we're on vertex elements, read them in */ + if (equal_strings ("vertex", elem_name)) { + + /* create a vertex list to hold all the vertices */ + vlist = (Vertex **) malloc (sizeof (Vertex *) * num_elems); + + /* set up for getting vertex elements */ + ply_get_property (ply, elem_name, &vert_props[0]); + ply_get_property (ply, elem_name, &vert_props[1]); + ply_get_property (ply, elem_name, &vert_props[2]); + + /* grab all the vertex elements */ + for (j = 0; j < num_elems; j++) { + + /* grab and element from the file */ + vlist[j] = (Vertex *) malloc (sizeof (Vertex)); + ply_get_element (ply, (void *) vlist[j]); + + /* print out vertex x,y,z for debugging */ + printf ("vertex: %g %g %g\n", vlist[j]->x, vlist[j]->y, vlist[j]->z); + } + } + + /* if we're on face elements, read them in */ + if (equal_strings ("face", elem_name)) { + + /* create a list to hold all the face elements */ + flist = (Face **) malloc (sizeof (Face *) * num_elems); + + /* set up for getting face elements */ + + ply_get_property (ply, elem_name, &face_props[0]); + ply_get_property (ply, elem_name, &face_props[1]); + + /* grab all the face elements */ + for (j = 0; j < num_elems; j++) { + + /* grab and element from the file */ + flist[j] = (Face *) malloc (sizeof (Face)); + ply_get_element (ply, (void *) flist[j]); + + /* print out face info, for debugging */ + printf ("face: %d, list = ", flist[j]->intensity); + for (k = 0; k < flist[j]->nverts; k++) + printf ("%d ", flist[j]->verts[k]); + printf ("\n"); + } + } + + /* print out the properties we got, for debugging */ + for (j = 0; j < nprops; j++) + printf ("property %s\n", plist[j]->name); + } + + /* grab and print out the comments in the file */ + comments = ply_get_comments (ply, &num_comments); + for (i = 0; i < num_comments; i++) + printf ("comment = '%s'\n", comments[i]); + + /* grab and print out the object information */ + obj_info = ply_get_obj_info (ply, &num_obj_info); + for (i = 0; i < num_obj_info; i++) + printf ("obj_info = '%s'\n", obj_info[i]); + + /* close the PLY file */ + ply_close (ply); +} + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/stdafx.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/stdafx.cpp new file mode 100644 index 0000000..509cef4 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/stdafx.cpp @@ -0,0 +1,5 @@ +// stdafx.cpp : source file that includes just the standard includes +// gw_core.pch will be the pre-compiled header +// stdafx.obj will contain the pre-compiled type information + +#include "stdafx.h" diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/stdafx.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/stdafx.h new file mode 100644 index 0000000..7b5de5f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/stdafx.h @@ -0,0 +1,76 @@ +/*------------------------------------------------------------------------------*/ +/** + * \file Stdafx.h + * \brief Include for precompiled header. + * \author Gabriel Peyré + * \date 10-26-2002 + */ +/*------------------------------------------------------------------------------*/ +#ifndef _GW_TOOLKIT_STDAFX_H_ +#define _GW_TOOLKIT_STDAFX_H_ + +#pragma once + +/* 'identifier' : identifier was truncated to 'number' characters in the debug information */ +#pragma warning( disable : 4786 ) + +//------------------------------------------------------------------------- +/** \name C++ STL */ +//------------------------------------------------------------------------- +//@{ +#include +#include +#include +#include +#include +#include +#include +using std::string; +using std::cerr; +using std::cout; +using std::endl; +//@} + +//------------------------------------------------------------------------- +/** \name classical ANSI c libraries */ +//------------------------------------------------------------------------- +//@{ +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +//#include +#include +#include +#include +//@} + + + +/*----------------------------------------------------------------------*/ +/* win32 #include */ +/*----------------------------------------------------------------------*/ + +#ifdef WIN32 + #define WIN32_LEAN_AND_MEAN + /** main win32 header */ + #include +#endif // _USE_WIN32_ + +#include "../gw_core/GW_MathsWrapper.h" + +#endif // _STDAFX_H_ + + +/////////////////////////////////////////////////////////////////////////////// +// Copyright (c) Gabriel Peyré +/////////////////////////////////////////////////////////////////////////////// +// END OF FILE // +/////////////////////////////////////////////////////////////////////////////// diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/trackball.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/trackball.cpp new file mode 100644 index 0000000..43c6e11 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/trackball.cpp @@ -0,0 +1,692 @@ +/* + * (c) Copyright 1993, 1994, Silicon Graphics, Inc. + * ALL RIGHTS RESERVED + * Permission to use, copy, modify, and distribute this software for + * any purpose and without fee is hereby granted, provided that the above + * copyright notice appear in all copies and that both the copyright notice + * and this permission notice appear in supporting documentation, and that + * the name of Silicon Graphics, Inc. not be used in advertising + * or publicity pertaining to distribution of the software without specific, + * written prior permission. + * + * THE MATERIAL EMBODIED ON THIS SOFTWARE IS PROVIDED TO YOU "AS-IS" + * AND WITHOUT WARRANTY OF ANY KIND, EXPRESS, IMPLIED OR OTHERWISE, + * INCLUDING WITHOUT LIMITATION, ANY WARRANTY OF MERCHANTABILITY OR + * FITNESS FOR A PARTICULAR PURPOSE. IN NO EVENT SHALL SILICON + * GRAPHICS, INC. BE LIABLE TO YOU OR ANYONE ELSE FOR ANY DIRECT, + * SPECIAL, INCIDENTAL, INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY + * KIND, OR ANY DAMAGES WHATSOEVER, INCLUDING WITHOUT LIMITATION, + * LOSS OF PROFIT, LOSS OF USE, SAVINGS OR REVENUE, OR THE CLAIMS OF + * THIRD PARTIES, WHETHER OR NOT SILICON GRAPHICS, INC. HAS BEEN + * ADVISED OF THE POSSIBILITY OF SUCH LOSS, HOWEVER CAUSED AND ON + * ANY THEORY OF LIABILITY, ARISING OUT OF OR IN CONNECTION WITH THE + * POSSESSION, USE OR PERFORMANCE OF THIS SOFTWARE. + * + * US Government Users Restricted Rights + * Use, duplication, or disclosure by the Government is subject to + * restrictions set forth in FAR 52.227.19(c)(2) or subparagraph + * (c)(1)(ii) of the Rights in Technical Data and Computer Software + * clause at DFARS 252.227-7013 and/or in similar or successor + * clauses in the FAR or the DOD or NASA FAR Supplement. + * Unpublished-- rights reserved under the copyright laws of the + * United States. Contractor/manufacturer is Silicon Graphics, + * Inc., 2011 N. Shoreline Blvd., Mountain View, CA 94039-7311. + * + * OpenGL(TM) is a trademark of Silicon Graphics, Inc. + */ +/* + * Trackball code: + * + * Implementation of a virtual trackball. + * Implemented by Gavin Bell, lots of ideas from Thant Tessman and + * the August '88 issue of Siggraph's "Computer Graphics," pp. 121-129. + * + * TB_Vector manip code: + * + * Original code from: + * David M. Ciemiewicz, Mark Grossman, Henry Moreton, and Paul Haeberli + * + * Much mucking with by: + * Gavin Bell + */ + + +#include "stdafx.h" + +#if defined(_WIN32) +#pragma warning (disable:4244) /* disable bogus conversion warnings */ +#endif +#include +#include +#include "trackball.h" + +/* + * This size should really be based on the distance from the center of + * rotation to the point on the object underneath the mouse. That + * point would then track the mouse as closely as possible. This is a + * simple example, though, so that is left as an Exercise for the + * Programmer. + */ +#define TRACKBALLSIZE (0.8f) + +/* + * Local function prototypes (not defined in trackball.h) + */ +static float tb_project_to_sphere(float, float, float); +static void normalize_quat(float [4]); + +void +vzero(float *v) +{ + v[0] = 0.0; + v[1] = 0.0; + v[2] = 0.0; +} + +void +vset(float *v, float x, float y, float z) +{ + v[0] = x; + v[1] = y; + v[2] = z; +} + +void +vsub(const float *src1, const float *src2, float *dst) +{ + dst[0] = src1[0] - src2[0]; + dst[1] = src1[1] - src2[1]; + dst[2] = src1[2] - src2[2]; +} + +void +vcopy(const float *v1, float *v2) +{ + register int i; + for (i = 0 ; i < 3 ; i++) + v2[i] = v1[i]; +} + +void +vcross(const float *v1, const float *v2, float *cross) +{ + float temp[3]; + + temp[0] = (v1[1] * v2[2]) - (v1[2] * v2[1]); + temp[1] = (v1[2] * v2[0]) - (v1[0] * v2[2]); + temp[2] = (v1[0] * v2[1]) - (v1[1] * v2[0]); + vcopy(temp, cross); +} + +float +vlength(const float *v) +{ + return sqrt(v[0] * v[0] + v[1] * v[1] + v[2] * v[2]); +} + +void +vscale(float *v, float div) +{ + v[0] *= div; + v[1] *= div; + v[2] *= div; +} + +void +vnormal(float *v) +{ + vscale(v,1.0/vlength(v)); +} + +float +vdot(const float *v1, const float *v2) +{ + return v1[0]*v2[0] + v1[1]*v2[1] + v1[2]*v2[2]; +} + +void +vadd(const float *src1, const float *src2, float *dst) +{ + dst[0] = src1[0] + src2[0]; + dst[1] = src1[1] + src2[1]; + dst[2] = src1[2] + src2[2]; +} + +/* + * Ok, simulate a track-ball. Project the points onto the virtual + * trackball, then figure out the axis of rotation, which is the cross + * product of P1 P2 and O P1 (O is the center of the ball, 0,0,0) + * Note: This is a deformed trackball-- is a trackball in the center, + * but is deformed into a hyperbolic sheet of rotation away from the + * center. This particular function was chosen after trying out + * several variations. + * + * It is assumed that the arguments to this routine are in the range + * (-1.0 ... 1.0) + */ +void +trackball(float q[4], float p1x, float p1y, float p2x, float p2y) +{ + float a[3]; /* Axis of rotation */ + float phi; /* how much to rotate about axis */ + float p1[3], p2[3], d[3]; + float t; + + if (p1x == p2x && p1y == p2y) { + /* Zero rotation */ + vzero(q); + q[3] = 1.0; + return; + } + + /* + * First, figure out z-coordinates for projection of P1 and P2 to + * deformed sphere + */ + vset(p1,p1x,p1y,tb_project_to_sphere(TRACKBALLSIZE,p1x,p1y)); + vset(p2,p2x,p2y,tb_project_to_sphere(TRACKBALLSIZE,p2x,p2y)); + + /* + * Now, we want the cross product of P1 and P2 + */ + vcross(p2,p1,a); + + /* + * Figure out how much to rotate around that axis. + */ + vsub(p1,p2,d); + t = vlength(d) / (2.0*TRACKBALLSIZE); + + /* + * Avoid problems with out-of-control values... + */ + if (t > 1.0) t = 1.0; + if (t < -1.0) t = -1.0; + phi = 2.0 * asin(t); + + axis_to_quat(a,phi,q); +} + +/* + * Given an axis and angle, compute quaternion. + */ +void +axis_to_quat(float a[3], float phi, float q[4]) +{ + vnormal(a); + vcopy(a,q); + vscale(q,sin(phi/2.0)); + q[3] = cos(phi/2.0); +} + +/* + * Project an x,y pair onto a sphere of radius r OR a hyperbolic sheet + * if we are away from the center of the sphere. + */ +static float +tb_project_to_sphere(float r, float x, float y) +{ + float d, t, z; + + d = sqrt(x*x + y*y); + if (d < r * 0.70710678118654752440) { /* Inside sphere */ + z = sqrt(r*r - d*d); + } else { /* On hyperbola */ + t = r / 1.41421356237309504880; + z = t*t / d; + } + return z; +} + +/* + * Given two rotations, e1 and e2, expressed as quaternion rotations, + * figure out the equivalent single rotation and stuff it into dest. + * + * This routine also normalizes the result every RENORMCOUNT times it is + * called, to keep error from creeping in. + * + * NOTE: This routine is written so that q1 or q2 may be the same + * as dest (or each other). + */ + +#define RENORMCOUNT 97 + +void +negate_quat(float q[4], float nq[4]) +{ + nq[0] = -q[0]; + nq[1] = -q[1]; + nq[2] = -q[2]; + nq[3] = q[3]; +} + +void +add_quats(float q1[4], float q2[4], float dest[4]) +{ + static int count=0; + float t1[4], t2[4], t3[4]; + float tf[4]; + +#if 0 +printf("q1 = %f %f %f %f\n", q1[0], q1[1], q1[2], q1[3]); +printf("q2 = %f %f %f %f\n", q2[0], q2[1], q2[2], q2[3]); +#endif + + vcopy(q1,t1); + vscale(t1,q2[3]); + + vcopy(q2,t2); + vscale(t2,q1[3]); + + vcross(q2,q1,t3); + vadd(t1,t2,tf); + vadd(t3,tf,tf); + tf[3] = q1[3] * q2[3] - vdot(q1,q2); + +#if 0 +printf("tf = %f %f %f %f\n", tf[0], tf[1], tf[2], tf[3]); +#endif + + dest[0] = tf[0]; + dest[1] = tf[1]; + dest[2] = tf[2]; + dest[3] = tf[3]; + + if (++count > RENORMCOUNT) { + count = 0; + normalize_quat(dest); + } +} + +/* + * Quaternions always obey: a^2 + b^2 + c^2 + d^2 = 1.0 + * If they don't add up to 1.0, dividing by their magnitued will + * renormalize them. + * + * Note: See the following for more information on quaternions: + * + * - Shoemake, K., Animating rotation with quaternion curves, Computer + * Graphics 19, No 3 (Proc. SIGGRAPH'85), 245-254, 1985. + * - Pletinckx, D., Quaternion calculus as a basic tool in computer + * graphics, The Visual Computer 5, 2-13, 1989. + */ +static void +normalize_quat(float q[4]) +{ + int i; + float mag; + + mag = sqrt(q[0]*q[0] + q[1]*q[1] + q[2]*q[2] + q[3]*q[3]); + for (i = 0; i < 4; i++) q[i] /= mag; +} + +/* + * Build a rotation matrix, given a quaternion rotation. + * + */ +void +build_rotmatrix(float m[4][4], float q[4]) +{ + m[0][0] = 1.0 - 2.0 * (q[1] * q[1] + q[2] * q[2]); + m[0][1] = 2.0 * (q[0] * q[1] - q[2] * q[3]); + m[0][2] = 2.0 * (q[2] * q[0] + q[1] * q[3]); + m[0][3] = 0.0; + + m[1][0] = 2.0 * (q[0] * q[1] + q[2] * q[3]); + m[1][1]= 1.0 - 2.0 * (q[2] * q[2] + q[0] * q[0]); + m[1][2] = 2.0 * (q[1] * q[2] - q[0] * q[3]); + m[1][3] = 0.0; + + m[2][0] = 2.0 * (q[2] * q[0] - q[1] * q[3]); + m[2][1] = 2.0 * (q[1] * q[2] + q[0] * q[3]); + m[2][2] = 1.0 - 2.0 * (q[1] * q[1] + q[0] * q[0]); + m[2][3] = 0.0; + + m[3][0] = 0.0; + m[3][1] = 0.0; + m[3][2] = 0.0; + m[3][3] = 1.0; +} + + + +/* + * Compute inverse of 4x4 transformation SINGLE-PRECISION matrix. + * Code contributed by Jacques Leroy + * Code lifted from Brian Paul's Mesa freeware OpenGL implementation. + * Return GL_TRUE for success, GL_FALSE for failure (singular matrix) + */ +GLboolean invertMatrixf(GLfloat *out, const GLfloat *m) +{ +/* NB. OpenGL Matrices are COLUMN major. */ +#define SWAP_ROWS(a, b) { GLdouble *_tmp = a; (a)=(b); (b)=_tmp; } +#define MAT(m,r,c) (m)[(c)*4+(r)] + + GLdouble wtmp[4][8]; + GLdouble m0, m1, m2, m3, s; + GLdouble *r0, *r1, *r2, *r3; + + r0 = wtmp[0], r1 = wtmp[1], r2 = wtmp[2], r3 = wtmp[3]; + + r0[0] = MAT(m,0,0), r0[1] = MAT(m,0,1), + r0[2] = MAT(m,0,2), r0[3] = MAT(m,0,3), + r0[4] = 1.0, r0[5] = r0[6] = r0[7] = 0.0, + + r1[0] = MAT(m,1,0), r1[1] = MAT(m,1,1), + r1[2] = MAT(m,1,2), r1[3] = MAT(m,1,3), + r1[5] = 1.0, r1[4] = r1[6] = r1[7] = 0.0, + + r2[0] = MAT(m,2,0), r2[1] = MAT(m,2,1), + r2[2] = MAT(m,2,2), r2[3] = MAT(m,2,3), + r2[6] = 1.0, r2[4] = r2[5] = r2[7] = 0.0, + + r3[0] = MAT(m,3,0), r3[1] = MAT(m,3,1), + r3[2] = MAT(m,3,2), r3[3] = MAT(m,3,3), + r3[7] = 1.0, r3[4] = r3[5] = r3[6] = 0.0; + + /* choose pivot - or die */ + if (fabs(r3[0])>fabs(r2[0])) SWAP_ROWS(r3, r2); + if (fabs(r2[0])>fabs(r1[0])) SWAP_ROWS(r2, r1); + if (fabs(r1[0])>fabs(r0[0])) SWAP_ROWS(r1, r0); + if (0.0 == r0[0]) { + return GL_FALSE; + } + + /* eliminate first variable */ + m1 = r1[0]/r0[0]; m2 = r2[0]/r0[0]; m3 = r3[0]/r0[0]; + s = r0[1]; r1[1] -= m1 * s; r2[1] -= m2 * s; r3[1] -= m3 * s; + s = r0[2]; r1[2] -= m1 * s; r2[2] -= m2 * s; r3[2] -= m3 * s; + s = r0[3]; r1[3] -= m1 * s; r2[3] -= m2 * s; r3[3] -= m3 * s; + s = r0[4]; + if (s != 0.0) { r1[4] -= m1 * s; r2[4] -= m2 * s; r3[4] -= m3 * s; } + s = r0[5]; + if (s != 0.0) { r1[5] -= m1 * s; r2[5] -= m2 * s; r3[5] -= m3 * s; } + s = r0[6]; + if (s != 0.0) { r1[6] -= m1 * s; r2[6] -= m2 * s; r3[6] -= m3 * s; } + s = r0[7]; + if (s != 0.0) { r1[7] -= m1 * s; r2[7] -= m2 * s; r3[7] -= m3 * s; } + + /* choose pivot - or die */ + if (fabs(r3[1])>fabs(r2[1])) SWAP_ROWS(r3, r2); + if (fabs(r2[1])>fabs(r1[1])) SWAP_ROWS(r2, r1); + if (0.0 == r1[1]) { + return GL_FALSE; + } + + /* eliminate second variable */ + m2 = r2[1]/r1[1]; m3 = r3[1]/r1[1]; + r2[2] -= m2 * r1[2]; r3[2] -= m3 * r1[2]; + r2[3] -= m2 * r1[3]; r3[3] -= m3 * r1[3]; + s = r1[4]; if (0.0 != s) { r2[4] -= m2 * s; r3[4] -= m3 * s; } + s = r1[5]; if (0.0 != s) { r2[5] -= m2 * s; r3[5] -= m3 * s; } + s = r1[6]; if (0.0 != s) { r2[6] -= m2 * s; r3[6] -= m3 * s; } + s = r1[7]; if (0.0 != s) { r2[7] -= m2 * s; r3[7] -= m3 * s; } + + /* choose pivot - or die */ + if (fabs(r3[2])>fabs(r2[2])) SWAP_ROWS(r3, r2); + if (0.0 == r2[2]) { + return GL_FALSE; + } + + /* eliminate third variable */ + m3 = r3[2]/r2[2]; + r3[3] -= m3 * r2[3], r3[4] -= m3 * r2[4], + r3[5] -= m3 * r2[5], r3[6] -= m3 * r2[6], + r3[7] -= m3 * r2[7]; + + /* last check */ + if (0.0 == r3[3]) { + return GL_FALSE; + } + + s = 1.0/r3[3]; /* now back substitute row 3 */ + r3[4] *= s; r3[5] *= s; r3[6] *= s; r3[7] *= s; + + m2 = r2[3]; /* now back substitute row 2 */ + s = 1.0/r2[2]; + r2[4] = s * (r2[4] - r3[4] * m2), r2[5] = s * (r2[5] - r3[5] * m2), + r2[6] = s * (r2[6] - r3[6] * m2), r2[7] = s * (r2[7] - r3[7] * m2); + m1 = r1[3]; + r1[4] -= r3[4] * m1, r1[5] -= r3[5] * m1, + r1[6] -= r3[6] * m1, r1[7] -= r3[7] * m1; + m0 = r0[3]; + r0[4] -= r3[4] * m0, r0[5] -= r3[5] * m0, + r0[6] -= r3[6] * m0, r0[7] -= r3[7] * m0; + + m1 = r1[2]; /* now back substitute row 1 */ + s = 1.0/r1[1]; + r1[4] = s * (r1[4] - r2[4] * m1), r1[5] = s * (r1[5] - r2[5] * m1), + r1[6] = s * (r1[6] - r2[6] * m1), r1[7] = s * (r1[7] - r2[7] * m1); + m0 = r0[2]; + r0[4] -= r2[4] * m0, r0[5] -= r2[5] * m0, + r0[6] -= r2[6] * m0, r0[7] -= r2[7] * m0; + + m0 = r0[1]; /* now back substitute row 0 */ + s = 1.0/r0[0]; + r0[4] = s * (r0[4] - r1[4] * m0), r0[5] = s * (r0[5] - r1[5] * m0), + r0[6] = s * (r0[6] - r1[6] * m0), r0[7] = s * (r0[7] - r1[7] * m0); + + MAT(out,0,0) = r0[4]; MAT(out,0,1) = r0[5], + MAT(out,0,2) = r0[6]; MAT(out,0,3) = r0[7], + MAT(out,1,0) = r1[4]; MAT(out,1,1) = r1[5], + MAT(out,1,2) = r1[6]; MAT(out,1,3) = r1[7], + MAT(out,2,0) = r2[4]; MAT(out,2,1) = r2[5], + MAT(out,2,2) = r2[6]; MAT(out,2,3) = r2[7], + MAT(out,3,0) = r3[4]; MAT(out,3,1) = r3[5], + MAT(out,3,2) = r3[6]; MAT(out,3,3) = r3[7]; + + return GL_TRUE; + +#undef MAT +#undef SWAP_ROWS +} + +/* Transform "in" vector by "m" transform to compute "out" vector. */ +void +transformPosition(TB_Vector *out, TB_Vector *in, float m[4][4]) +{ + float w; + + w = in->x * m[0][3] + in->y * m[1][3] + in->z * m[2][3] + m[3][3]; + out->x = (in->x * m[0][0] + in->y * m[1][0] + in->z * m[2][0] + m[3][0])/w; + out->y = (in->x * m[0][1] + in->y * m[1][1] + in->z * m[2][1] + m[3][1])/w; + out->z = (in->x * m[0][2] + in->y * m[1][2] + in->z * m[2][2] + m[3][2])/w; +} + +/* dst = transpose(src) */ +void +transposeMatrix(GLdouble dst[16], GLdouble src[16]) +{ + dst[0] = src[0]; + dst[1] = src[4]; + dst[2] = src[8]; + dst[3] = src[12]; + + dst[4] = src[1]; + dst[5] = src[5]; + dst[6] = src[9]; + dst[7] = src[13]; + + dst[8] = src[2]; + dst[9] = src[6]; + dst[10] = src[10]; + dst[11] = src[14]; + + dst[12] = src[3]; + dst[13] = src[7]; + dst[14] = src[11]; + dst[15] = src[15]; +} + +/* dst = a + b */ +void +addMatrices(GLdouble dst[16], GLdouble a[16], GLdouble b[16]) +{ + dst[0] = a[0] + b[0]; + dst[1] = a[1] + b[1]; + dst[2] = a[2] + b[2]; + dst[3] = a[3] + b[3]; + + dst[4] = a[4] + b[4]; + dst[5] = a[5] + b[5]; + dst[6] = a[6] + b[6]; + dst[7] = a[7] + b[7]; + + dst[8] = a[8] + b[8]; + dst[9] = a[9] + b[9]; + dst[10] = a[10] + b[10]; + dst[11] = a[11] + b[11]; + + dst[12] = a[12] + b[12]; + dst[13] = a[13] + b[13]; + dst[14] = a[14] + b[14]; + dst[15] = a[15] + b[15]; +} + +/* Build a 4x4 matrix transform based on the parameters for gluLookAt. + * Code lifted from Brian Paul's MesaGLU. + */ +void +buildLookAtMatrix(GLdouble eyex, GLdouble eyey, GLdouble eyez, + GLdouble centerx, GLdouble centery, GLdouble centerz, + GLdouble upx, GLdouble upy, GLdouble upz, GLdouble m[16]) +{ + GLdouble x[3], y[3], z[3]; + GLdouble mag; + + /* Make rotation matrix */ + + /* Z vector */ + z[0] = eyex - centerx; + z[1] = eyey - centery; + z[2] = eyez - centerz; + mag = sqrt( z[0]*z[0] + z[1]*z[1] + z[2]*z[2] ); + if (mag) { /* mpichler, 19950515 */ + z[0] /= mag; + z[1] /= mag; + z[2] /= mag; + } + + /* Y vector */ + y[0] = upx; + y[1] = upy; + y[2] = upz; + + /* X vector = Y cross Z */ + x[0] = y[1]*z[2] - y[2]*z[1]; + x[1] = -y[0]*z[2] + y[2]*z[0]; + x[2] = y[0]*z[1] - y[1]*z[0]; + + /* Recompute Y = Z cross X */ + y[0] = z[1]*x[2] - z[2]*x[1]; + y[1] = -z[0]*x[2] + z[2]*x[0]; + y[2] = z[0]*x[1] - z[1]*x[0]; + + /* mpichler, 19950515 */ + /* cross product gives area of parallelogram, which is < 1.0 for + * non-perpendicular unit-length vectors; so normalize x, y here + */ + + mag = sqrt( x[0]*x[0] + x[1]*x[1] + x[2]*x[2] ); + if (mag) { + x[0] /= mag; + x[1] /= mag; + x[2] /= mag; + } + + mag = sqrt( y[0]*y[0] + y[1]*y[1] + y[2]*y[2] ); + if (mag) { + y[0] /= mag; + y[1] /= mag; + y[2] /= mag; + } + +#define M(row,col) m[col*4+row] + M(0,0) = x[0]; M(0,1) = x[1]; M(0,2) = x[2]; M(0,3) = -x[0]*eyex + -x[1]*eyey + -x[2]*eyez; + M(1,0) = y[0]; M(1,1) = y[1]; M(1,2) = y[2]; M(1,3) = -y[0]*eyex + -y[1]*eyey + -y[2]*eyez; + M(2,0) = z[0]; M(2,1) = z[1]; M(2,2) = z[2]; M(2,3) = -z[0]*eyex + -z[1]*eyey + -z[2]*eyez; + M(3,0) = 0.0; M(3,1) = 0.0; M(3,2) = 0.0; M(3,3) = 1.0; +#undef M +} + +/*** FAST INVERSE SQUARE ROOT ***/ + +/* From "Graphics Gems V", Alan Paeth (Editor) + * ISBN 0125434553/9649-1547332-306386 + * Published by Ap Profession, 1995 + */ + +/* Compute the Inverse Square Root + * of an IEEE Single Precision Floating-Point number. + * + * Written by Ken Turkowski. + */ + +/* Specified parameters */ +#define LOOKUP_BITS 6 /* Number of mantissa bits for lookup */ +#define EXP_POS 23 /* Position of the exponent */ +#define EXP_BIAS 127 /* Bias of exponent */ +/* The mantissa is assumed to be just down from the exponent */ + +/* Derived parameters */ +#define LOOKUP_POS (EXP_POS-LOOKUP_BITS) /* Position of mantissa lookup */ +#define SEED_POS (EXP_POS-8) /* Position of mantissa seed */ +#define TABLE_SIZE (2 << LOOKUP_BITS) /* Number of entries in table */ +#define LOOKUP_MASK (TABLE_SIZE - 1) /* Mask for table input */ +#define GET_EXP(a) (((a) >> EXP_POS) & 0xFF) /* Extract exponent */ +#define SET_EXP(a) ((a) << EXP_POS) /* Set exponent */ +#define GET_EMANT(a) (((a) >> LOOKUP_POS) & LOOKUP_MASK) /* Extended mantissa + * MSB's */ +#define SET_MANTSEED(a) (((unsigned long)(a)) << SEED_POS) /* Set mantissa + * 8 MSB's */ + +static unsigned char iSqrt[TABLE_SIZE]; + +union _flint { + unsigned long i; + float f; +} _fi, _fo; + +void makeInverseSqrtLookupTable() +{ + register long f; + register unsigned char *h; + union _flint fi, fo; + + h = iSqrt; + for (f = 0, h = iSqrt; f < TABLE_SIZE; f++) { + fi.i = ((EXP_BIAS-1) << EXP_POS) | (f << LOOKUP_POS); + fo.f = (float) (1.0 / sqrt(fi.f)); + *h++ = (unsigned char) + (((fo.i + (1<<(SEED_POS-2))) >> SEED_POS) & 0xFF); /* rounding */ + } + iSqrt[TABLE_SIZE / 2] = 0xFF; /* Special case for 1.0 */ +} + +/* The following returns the inverse square root. */ +static float invSqrt(float x) +{ + unsigned long a = ((union _flint*)(&x))->i; + float arg = x; + union _flint seed; + float r; + + seed.i = SET_EXP(((3*EXP_BIAS-1) - GET_EXP(a)) >> 1) + | SET_MANTSEED(iSqrt[GET_EMANT(a)]); + + /* Seed: accurate to LOOKUP_BITS */ + r = seed.f; + + /* First iteration: accurate to 2*LOOKUP_BITS */ + r = (float) ((3.0 - r * r * arg) * r * 0.5); + +#if 0 /* Wow! We don't need this much precision! */ + /* Second iteration: accurate to 4*LOOKUP_BITS */ + r = (float) ((3.0 - r * r * arg) * r * 0.5); +#endif + + return r; +} + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/trackball.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/trackball.h new file mode 100644 index 0000000..edc242d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/gw/gw_toolkit/trackball.h @@ -0,0 +1,104 @@ +/* + * (c) Copyright 1993, 1994, Silicon Graphics, Inc. + * ALL RIGHTS RESERVED + * Permission to use, copy, modify, and distribute this software for + * any purpose and without fee is hereby granted, provided that the above + * copyright notice appear in all copies and that both the copyright notice + * and this permission notice appear in supporting documentation, and that + * the name of Silicon Graphics, Inc. not be used in advertising + * or publicity pertaining to distribution of the software without specific, + * written prior permission. + * + * THE MATERIAL EMBODIED ON THIS SOFTWARE IS PROVIDED TO YOU "AS-IS" + * AND WITHOUT WARRANTY OF ANY KIND, EXPRESS, IMPLIED OR OTHERWISE, + * INCLUDING WITHOUT LIMITATION, ANY WARRANTY OF MERCHANTABILITY OR + * FITNESS FOR A PARTICULAR PURPOSE. IN NO EVENT SHALL SILICON + * GRAPHICS, INC. BE LIABLE TO YOU OR ANYONE ELSE FOR ANY DIRECT, + * SPECIAL, INCIDENTAL, INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY + * KIND, OR ANY DAMAGES WHATSOEVER, INCLUDING WITHOUT LIMITATION, + * LOSS OF PROFIT, LOSS OF USE, SAVINGS OR REVENUE, OR THE CLAIMS OF + * THIRD PARTIES, WHETHER OR NOT SILICON GRAPHICS, INC. HAS BEEN + * ADVISED OF THE POSSIBILITY OF SUCH LOSS, HOWEVER CAUSED AND ON + * ANY THEORY OF LIABILITY, ARISING OUT OF OR IN CONNECTION WITH THE + * POSSESSION, USE OR PERFORMANCE OF THIS SOFTWARE. + * + * US Government Users Restricted Rights + * Use, duplication, or disclosure by the Government is subject to + * restrictions set forth in FAR 52.227.19(c)(2) or subparagraph + * (c)(1)(ii) of the Rights in Technical Data and Computer Software + * clause at DFARS 252.227-7013 and/or in similar or successor + * clauses in the FAR or the DOD or NASA FAR Supplement. + * Unpublished-- rights reserved under the copyright laws of the + * United States. Contractor/manufacturer is Silicon Graphics, + * Inc., 2011 N. Shoreline Blvd., Mountain View, CA 94039-7311. + * + * OpenGL(TM) is a trademark of Silicon Graphics, Inc. + */ +/* + * trackball.h + * A virtual trackball implementation + * Written by Gavin Bell for Silicon Graphics, November 1988. + */ + +#include + +typedef struct { + GLfloat x; + GLfloat y; + GLfloat z; +} TB_Vector; + +typedef struct { + TB_Vector position; + TB_Vector tangentSpaceLightVector; + TB_Vector tangentSpaceHalfAngleVector; + GLshort s, t; +} TB_Vertex; + +/* + * Pass the x and y coordinates of the last and current positions of + * the mouse, scaled so they are from (-1.0 ... 1.0). + * + * The resulting rotation is returned as a quaternion rotation in the + * first paramater. + */ +void +trackball(float q[4], float p1x, float p1y, float p2x, float p2y); + +void +negate_quat(float *q, float *qn); + +/* + * Given two quaternions, add them together to get a third quaternion. + * Adding quaternions to get a compound rotation is analagous to adding + * translations to get a compound translation. When incrementally + * adding rotations, the first argument here should be the new + * rotation, the second and third the total rotation (which will be + * over-written with the resulting new total rotation). + */ +void +add_quats(float *q1, float *q2, float *dest); + +/* + * A useful function, builds a rotation matrix in Matrix based on + * given quaternion. + */ +void build_rotmatrix(float m[4][4], float q[4]); + +/* + * This function computes a quaternion based on an axis (defined by + * the given vector) and an angle about which to rotate. The angle is + * expressed in radians. The result is put into the third argument. + */ +void axis_to_quat(float a[3], float phi, float q[4]); + + +void transformPosition(TB_Vector *out, TB_Vector *in, float m[4][4]); +void transposeMatrix(GLdouble dst[16], GLdouble src[16]); +void addMatrices(GLdouble dst[16], GLdouble a[16], GLdouble b[16]); +void buildLookAtMatrix(GLdouble eyex, GLdouble eyey, GLdouble eyez, + GLdouble centerx, GLdouble centery, GLdouble centerz, + GLdouble upx, GLdouble upy, GLdouble upz, GLdouble m[16]); +GLboolean invertMatrixf(GLfloat *out, const GLfloat *m); +void makeInverseSqrtLookupTable(void); +float invSqrt(float x); diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_circular_front_propagation_2d.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_circular_front_propagation_2d.cpp new file mode 100644 index 0000000..fdb2ab1 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_circular_front_propagation_2d.cpp @@ -0,0 +1,95 @@ +/*================================================================= +% perform_circular_front_propagation_2d - perform a Fast Marching front propagation. +% +% [D,S] = perform_circular_front_propagation_2d(W,start_points,end_points,center_point,nb_iter_max,H); +% +% 'D' is a 2D array containing the value of the distance function to seed. +% 'S' is a 2D array containing the state of each point : +% -1 : dead, distance have been computed. +% 0 : open, distance is being computed but not set. +% 1 : far, distance not already computed. +% 'W' is the weight matrix (inverse of the speed). +% 'start_points' is a 2 x num_start_points matrix where k is the number of starting points. +% 'H' is an heuristic (distance that remains to goal). This is a 2D matrix. +% +% Copyright (c) 2004 Gabriel Peyré +*=================================================================*/ + +#include "mex.h" +#include "perform_front_propagation_2d.h" + +double* center_point = NULL; + +bool callback_intert_node(int i, int j, int ii, int jj) +{ + // point must be on the right of the center + if( i>=center_point[0] && ii>=(int)center_point[0] ) + { + if( j>=center_point[1] && jj<(int)center_point[1] ) + return false; + if( j=(int)center_point[1] ) + return false; + } + return true; +} + +void mexFunction( int nlhs, mxArray *plhs[], + int nrhs, const mxArray*prhs[] ) +{ + /* retrive arguments */ + if( nrhs<5 ) + mexErrMsgTxt("5 or 6 input arguments are required."); + if( nlhs<1 ) + mexErrMsgTxt("1 or 2 output arguments are required."); + + // first argument : weight list + n = mxGetM(prhs[0]); + p = mxGetN(prhs[0]); + W = mxGetPr(prhs[0]); + // second argument : start_points + start_points = mxGetPr(prhs[1]); + int tmp = mxGetM(prhs[1]); + nb_start_points = mxGetN(prhs[1]); + if( nb_start_points==0 || tmp!=2 ) + mexErrMsgTxt("start_points must be of size 2 x nb_start_poins."); + // third argument : end_points + end_points = mxGetPr(prhs[2]); + tmp = mxGetM(prhs[2]); + nb_end_points = mxGetN(prhs[2]); + if( nb_end_points!=0 && tmp!=2 ) + mexErrMsgTxt("end_points must be of size 2 x nb_end_poins."); + // fourth argument : center_point + center_point = mxGetPr(prhs[3]); + // fifth argument : nb_iter_max + nb_iter_max = (int) *mxGetPr(prhs[4]); + // sixth argument : heuristic + if( nrhs==6 ) + { + H = mxGetPr(prhs[5]); + if( mxGetM(prhs[5])!=n || mxGetN(prhs[5])!=p ) + mexErrMsgTxt("H must be of size n x p."); + } + else + H = NULL; + + // first ouput : distance + plhs[0] = mxCreateDoubleMatrix(n, p, mxREAL); + D = mxGetPr(plhs[0]); + // second output : state + if( nlhs>=2 ) + { + plhs[1] = mxCreateDoubleMatrix(n, p, mxREAL); + S = mxGetPr(plhs[1]); + } + else + { + S = new double[n*p]; + } + + // launch the propagation + perform_front_propagation_2d(callback_intert_node); + + if( nlhs<2 ) + GW_DELETEARRAY(S); + return; +} diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_circular_front_propagation_2d.def b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_circular_front_propagation_2d.def new file mode 100644 index 0000000..b6e6f4d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_circular_front_propagation_2d.def @@ -0,0 +1,3 @@ +LIBRARY perform_circular_front_propagation_2d.dll +EXPORTS + mexFunction \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_circular_front_propagation_2d.vcproj b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_circular_front_propagation_2d.vcproj new file mode 100644 index 0000000..e2c144c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_circular_front_propagation_2d.vcproj @@ -0,0 +1,240 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation.sln b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation.sln new file mode 100644 index 0000000..b75a433 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation.sln @@ -0,0 +1,33 @@ +Microsoft Visual Studio Solution File, Format Version 9.00 +# Visual Studio 2005 +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "perform_front_propagation_2d", "perform_front_propagation_2d.vcproj", "{E4A823A7-267F-494F-87CF-BB933886F90D}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "perform_front_propagation_3d", "perform_front_propagation_3d.vcproj", "{44920EEA-EA60-4A6E-8695-0133BBB93332}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "perform_circular_front_propagation_2d", "perform_circular_front_propagation_2d.vcproj", "{3E2E583E-2CAB-4420-B4EE-7CCCB4719694}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "perform_front_propagation_mesh", "perform_front_propagation_mesh.vcproj", "{E4A823A7-267F-494F-87CF-BB933986F90D}" +EndProject +Global + GlobalSection(SolutionConfigurationPlatforms) = preSolution + Debug|Win32 = Debug|Win32 + Release|Win32 = Release|Win32 + EndGlobalSection + GlobalSection(ProjectConfigurationPlatforms) = postSolution + {E4A823A7-267F-494F-87CF-BB933886F90D}.Debug|Win32.ActiveCfg = Debug|Win32 + {E4A823A7-267F-494F-87CF-BB933886F90D}.Debug|Win32.Build.0 = Debug|Win32 + {E4A823A7-267F-494F-87CF-BB933886F90D}.Release|Win32.ActiveCfg = Release|Win32 + {E4A823A7-267F-494F-87CF-BB933886F90D}.Release|Win32.Build.0 = Release|Win32 + {44920EEA-EA60-4A6E-8695-0133BBB93332}.Debug|Win32.ActiveCfg = Debug|Win32 + {44920EEA-EA60-4A6E-8695-0133BBB93332}.Release|Win32.ActiveCfg = Release|Win32 + {3E2E583E-2CAB-4420-B4EE-7CCCB4719694}.Debug|Win32.ActiveCfg = Debug|Win32 + {3E2E583E-2CAB-4420-B4EE-7CCCB4719694}.Release|Win32.ActiveCfg = Release|Win32 + {E4A823A7-267F-494F-87CF-BB933986F90D}.Debug|Win32.ActiveCfg = Debug|Win32 + {E4A823A7-267F-494F-87CF-BB933986F90D}.Debug|Win32.Build.0 = Debug|Win32 + {E4A823A7-267F-494F-87CF-BB933986F90D}.Release|Win32.ActiveCfg = Release|Win32 + {E4A823A7-267F-494F-87CF-BB933986F90D}.Release|Win32.Build.0 = Release|Win32 + EndGlobalSection + GlobalSection(SolutionProperties) = preSolution + HideSolutionNode = FALSE + EndGlobalSection +EndGlobal diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_2d.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_2d.cpp new file mode 100644 index 0000000..d1d7b79 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_2d.cpp @@ -0,0 +1,348 @@ +/*================================================================= +% perform_front_propagation_2d - perform a Fast Marching front propagation. +% +% [D,S,Q] = perform_front_propagation_2d(W,start_points,end_points,nb_iter_max, H, L, values); +% +% 'D' is a 2D array containing the value of the distance function to seed. +% 'S' is a 2D array containing the state of each point : +% -1 : dead, distance have been computed. +% 0 : open, distance is being computed but not set. +% 1 : far, distance not already computed. +% 'W' is the weight matrix (inverse of the speed). +% 'start_points' is a 2 x num_start_points matrix where k is the number of starting points. +% 'H' is an heuristic (distance that remains to goal). This is a 2D matrix. +% +% Copyright (c) 2004 Gabriel Peyr� +*=================================================================*/ + +// select to test or not to test (debug purpose) +// #define CHECK_HEAP check_heap(i,j,k); +#ifndef CHECK_HEAP + #define CHECK_HEAP +#endif +// error display +// #define ERROR_MSG(a) mexErrMsgTxt(a) +#ifndef ERROR_MSG + #define ERROR_MSG(a) +#endif +// #define WARN_MSG(a) mexWarnMsgTxt(a) +#ifndef WARN_MSG + #define WARN_MSG(a) +#endif + +#include "perform_front_propagation_2d.h" +#include "fheap/fib.h" +#include "fheap/fibpriv.h" + +#define kDead -1 +#define kOpen 0 +#define kFar 1 + +/* Global variables */ +int n; // width +int p; // height +double* D = NULL; +double* S = NULL; +double* W = NULL; +double* Q = NULL; +double* start_points = NULL; +double* end_points = NULL; +double* values = NULL; +double* H = NULL; +double* L = NULL; +int nb_iter_max = 100000; +int nb_start_points = 0; +int nb_end_points = 0; +fibheap_el** heap_pool = NULL; + +#define ACCESS_ARRAY(a,i,j) a[(i)+n*(j)] +#define D_(i,j) ACCESS_ARRAY(D,i,j) +#define S_(i,j) ACCESS_ARRAY(S,i,j) +#define W_(i,j) ACCESS_ARRAY(W,i,j) +#define H_(i,j) ACCESS_ARRAY(H,i,j) +#define Q_(i,j) ACCESS_ARRAY(Q,i,j) +#define L_(i,j) ACCESS_ARRAY(L,i,j) +#define heap_pool_(i,j) ACCESS_ARRAY(heap_pool,i,j) +#define start_points_(i,k) start_points[(i)+2*(k)] +#define end_points_(i,k) end_points[(i)+2*(k)] + +struct point +{ + point( int ii, int jj ) + { i = ii; j = jj; } + int i,j; +}; +typedef std::vector point_list; + +inline +bool end_points_reached(const int i, const int j ) +{ + for( int k=0; kfhe_data; + if( H==NULL ) + { + if( D_(i,j)>D_(pt.i,pt.j) ) + ERROR_MSG("Problem with heap.\n"); + } + else + { + if( D_(i,j)+H_(i,j)>D_(pt.i,pt.j)+H_(pt.i,pt.j) ) + ERROR_MSG("Problem with heap.\n"); + } + } + } +} + + + +void perform_front_propagation_2d(T_callback_intert_node callback_insert_node) +{ + // create the Fibonacci heap + struct fibheap* open_heap = fh_makeheap(); + fh_setcmp(open_heap, compare_points); + + double h = 1.0/n; + + // initialize points + for( int i=0; i=0 && jj>=0 && ii0 ) + { + bool bParticipate = true; + if( callback_insert_node!=NULL ) + bParticipate = callback_insert_node(ii,jj,ii-1,jj); + if( bParticipate ) + { + if( D_(ii-1,jj)0 ) + { + bool bParticipate = true; + if( callback_insert_node!=NULL ) + bParticipate = callback_insert_node(ii,jj,ii,jj-1); + if( bParticipate ) + { + if( D_(ii,jj-1)a2 ) // swap so that a1= a2 >= a1. + double A1 = 0; + if( P*P > (a2-a1)*(a2-a1) ) + { + double delta = 2*P*P-(a2-a1)*(a2-a1); + A1 = (a1+a2+sqrt(delta))/2.0; + } + else + A1 = a1 + P; + if( ((int) S_(ii,jj)) == kDead ) + { + // check if action has change. Should not happen for FM + // if( A1=0 ) + Q_(ii,jj) = k1; + //else + // Q_(ii,jj) = k2; + //Q_(ii,jj) = Q_(i,j); + } +#endif + } + else if( ((int) S_(ii,jj)) == kOpen ) + { + // check if action has change. + if( A1=0 ) + Q_(ii,jj) = k1; + //else + // Q_(ii,jj) = k2; + //Q_(ii,jj) = Q_(i,j); + // Modify the value in the heap + fibheap_el* cur_el = heap_pool_(ii,jj); + if( cur_el!=NULL ) + fh_replacedata( open_heap, cur_el, cur_el->fhe_data ); // use same data for update + else + ERROR_MSG("Error in heap pool allocation."); + } + } + else if( ((int) S_(ii,jj)) == kFar ) + { + if( D_(ii,jj)!=GW_INFINITE ) + ERROR_MSG("Distance must be initialized to Inf"); + if( L==NULL || A1<=L_(ii,jj) ) + { + S_(ii,jj) = kOpen; + // distance must have change. + D_(ii,jj) = A1; + // update the value of the closest starting point + //if( GW_ABS(a1-A1)=0 ) + Q_(ii,jj) = k1; + //else + // Q_(ii,jj) = k2; + //Q_(ii,jj) = Q_(i,j); + // add to open list + point* pt = new point(ii,jj); + existing_points.push_back( pt ); + heap_pool_(ii,jj) = fh_insert( open_heap, pt ); // add to heap + } + } + else + ERROR_MSG("Unkwnown state."); + + } // end switch + } // end for + } // end while + +// char msg[200]; +// sprintf(msg, "Cool %f", Q_(100,100) ); +// WARN_MSG( msg ); + + // free heap + fh_deleteheap(open_heap); + // free point pool + for( point_list::iterator it = existing_points.begin(); it!=existing_points.end(); ++it ) + GW_DELETE( *it ); + // free fibheap pool + GW_DELETEARRAY(heap_pool); +} \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_2d.def b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_2d.def new file mode 100644 index 0000000..e8b2870 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_2d.def @@ -0,0 +1,3 @@ +LIBRARY perform_front_propagation_2d.dll +EXPORTS + mexFunction \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_2d.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_2d.h new file mode 100644 index 0000000..c659f3e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_2d.h @@ -0,0 +1,32 @@ +#ifndef _PERFORM_FRONT_PROPAGATION_2D_H_ +#define _PERFORM_FRONT_PROPAGATION_2D_H_ + +#include +#include "config.h" +#include +#include +#include +#include + +// some global variables +extern int n; // width +extern int p; // height +extern double* D; +extern double* S; +extern double* W; +extern double* Q; +extern double* L; +extern double* start_points; +extern double* end_points; +extern double* H; +extern double* values; +extern int nb_iter_max; +extern int nb_start_points; +extern int nb_end_points; + +typedef bool (*T_callback_intert_node)(int i, int j, int ii, int jj); + +// main function +void perform_front_propagation_2d(T_callback_intert_node callback_insert_node = NULL); + +#endif // _PERFORM_FRONT_PROPAGATION_2D_H_ \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_2d.vcproj b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_2d.vcproj new file mode 100644 index 0000000..71e1372 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_2d.vcproj @@ -0,0 +1,244 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_2d_mex.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_2d_mex.cpp new file mode 100644 index 0000000..ec1081f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_2d_mex.cpp @@ -0,0 +1,117 @@ +/*================================================================= +% perform_front_propagation_2d - perform a Fast Marching front propagation. +% +% [D,S,Q] = perform_front_propagation_2d(W,start_points,end_points,nb_iter_max,H,L,values); +% +% 'D' is a 2D array containing the value of the distance function to seed. +% 'S' is a 2D array containing the state of each point : +% -1 : dead, distance have been computed. +% 0 : open, distance is being computed but not set. +% 1 : far, distance not already computed. +% Q is the index of the closest point. +% 'W' is the weight matrix (inverse of the speed). +% 'start_points' is a 2 x num_start_points matrix where k is the number of starting points. +% 'H' is an heuristic (distance that remains to goal). This is a 2D matrix. +% L is a constraint matrix, points will be considered only if their current distance is less than L. +% +% Copyright (c) 2004 Gabriel Peyré +*=================================================================*/ + +#include "perform_front_propagation_2d.h" +#include "mex.h" + +void mexFunction( int nlhs, mxArray *plhs[], + int nrhs, const mxArray*prhs[] ) +{ + /* retrive arguments */ + if( nrhs<4 ) + mexErrMsgTxt("4 - 7 input arguments are required."); + if( nlhs<1 ) + mexErrMsgTxt("1, 2 or 3 output arguments are required."); + + // first argument : weight list + n = mxGetM(prhs[0]); + p = mxGetN(prhs[0]); + W = mxGetPr(prhs[0]); + // second argument : start_points + start_points = mxGetPr(prhs[1]); + int tmp = mxGetM(prhs[1]); + nb_start_points = mxGetN(prhs[1]); + if( nb_start_points==0 || tmp!=2 ) + mexErrMsgTxt("start_points must be of size 2 x nb_start_poins."); + // third argument : end_points + end_points = mxGetPr(prhs[2]); + tmp = mxGetM(prhs[2]); + nb_end_points = mxGetN(prhs[2]); + if( nb_end_points!=0 && tmp!=2 ) + mexErrMsgTxt("end_points must be of size 2 x nb_end_poins."); + // argument 4: nb_iter_max + nb_iter_max = (int) *mxGetPr(prhs[3]); + // argument 5: heuristic + if( nrhs>=5 ) + { + H = mxGetPr(prhs[4]); + if( mxGetM(prhs[4])==0 && mxGetN(prhs[4])==0 ) + H=NULL; + if( H!=NULL && (mxGetM(prhs[4])!=n || mxGetN(prhs[4])!=p) ) + mexErrMsgTxt("H must be of size n x p."); + } + else + H = NULL; + // argument 6: constraint map + if( nrhs>=6 ) + { + L = mxGetPr(prhs[5]); + if( mxGetM(prhs[5])==0 && mxGetN(prhs[5])==0 ) + H=NULL; + if( L!=NULL && (mxGetM(prhs[5])!=n || mxGetN(prhs[5])!=p) ) + mexErrMsgTxt("L must be of size n x p."); + } + else + L = NULL; + // argument 7: value list + if( nrhs>=7 ) + { + values = mxGetPr(prhs[6]); + if( mxGetM(prhs[6])==0 && mxGetN(prhs[6])==0 ) + values=NULL; + if( values!=NULL && (mxGetM(prhs[6])!=nb_start_points || mxGetN(prhs[6])!=1) ) + mexErrMsgTxt("values must be of size nb_start_points x 1."); + } + else + values = NULL; + + + // first ouput : distance + plhs[0] = mxCreateDoubleMatrix(n, p, mxREAL); + D = mxGetPr(plhs[0]); + // second output : state + if( nlhs>=2 ) + { + plhs[1] = mxCreateDoubleMatrix(n, p, mxREAL); + S = mxGetPr(plhs[1]); + } + else + { + S = new double[n*p]; + } + // third output : index + if( nlhs>=3 ) + { + plhs[2] = mxCreateDoubleMatrix(n, p, mxREAL); + Q = mxGetPr(plhs[2]); + } + else + { + Q = new double[n*p]; + } + + // launch the propagation + perform_front_propagation_2d(); + + if( nlhs<2 ) + GW_DELETEARRAY(S); + if( nlhs<3 ) + GW_DELETEARRAY(Q); + return; +} diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_3d.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_3d.cpp new file mode 100644 index 0000000..88c3251 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_3d.cpp @@ -0,0 +1,307 @@ +/*================================================================= +% perform_front_propagation_3d - perform a Fast Marching front propagation. +% +% OLD : [D,S] = perform_front_propagation_2d(W,start_points,end_points,nb_iter_max,H); +% [D,S,Q] = perform_front_propagation_3d(W,start_points,end_points,nb_iter_max, H, L); +% +% 'D' is a 2D array containing the value of the distance function to seed. +% 'S' is a 2D array containing the state of each point : +% -1 : dead, distance have been computed. +% 0 : open, distance is being computed but not set. +% 1 : far, distance not already computed. +% 'W' is the weight matrix (inverse of the speed). +% 'start_points' is a 3 x num_start_points matrix where k is the number of starting points. +% 'H' is an heuristic (distance that remains to goal). This is a 2D matrix. +% +% Copyright (c) 2004 Gabriel Peyré +*=================================================================*/ + +// select to test or not to test (debug purpose) +// #define CHECK_HEAP check_heap(i,j,k); +#ifndef CHECK_HEAP + #define CHECK_HEAP +#endif +// error display +// #define ERROR_MSG(a) mexErrMsgTxt(a) +#ifndef ERROR_MSG + #define ERROR_MSG(a) +#endif +// #define WARN_MSG(a) mexWarnMsgTxt(a) +#ifndef WARN_MSG + #define WARN_MSG(a) +#endif + + +#include "perform_front_propagation_3d.h" +#include "fheap/fib.h" +#include "fheap/fibpriv.h" + +#define kDead -1 +#define kOpen 0 +#define kFar 1 + +#define ACCESS_ARRAY(a,i,j,k) a[(i)+n*(j)+n*p*(k)] +#define D_(i,j,k) ACCESS_ARRAY(D,i,j,k) +#define S_(i,j,k) ACCESS_ARRAY(S,i,j,k) +#define W_(i,j,k) ACCESS_ARRAY(W,i,j,k) +#define H_(i,j,k) ACCESS_ARRAY(H,i,j,k) +#define L_(i,j,k) ACCESS_ARRAY(L,i,j,k) +#define Q_(i,j,k) ACCESS_ARRAY(Q,i,j,k) +#define heap_pool_(i,j,k) ACCESS_ARRAY(heap_pool,i,j,k) +#define start_points_(i,s) start_points[(i)+3*(s)] +#define end_points_(i,s) end_points[(i)+3*(s)] + +/* Global variables */ +int n; // size on X +int p; // size on Y +int q; // size on Z +double* D = NULL; +double* S = NULL; +double* W = NULL; +double* Q = NULL; +double* values = NULL; +double* start_points = NULL; +double* end_points = NULL; +double* H = NULL; +double* L = NULL; +int nb_iter_max = 100000; +int nb_start_points = 0; +int nb_end_points = 0; +fibheap_el** heap_pool = NULL; + +struct point +{ + point( int ii, int jj, int kk ) + { i = ii; j = jj; k = kk; } + int i,j,k; +}; +typedef std::vector point_list; + +inline bool end_points_reached(const int i, const int j, const int k ) +{ + for( int s=0; sfhe_data ); + if( H==NULL ) + { + if( D_(i,j,k)>D_(pt.i,pt.j,pt.k) ) + ERROR_MSG("Problem with heap.\n"); + } + else + { + if( D_(i,j,k)+H_(i,j,k)>D_(pt.i,pt.j,pt.k)+H_(pt.i,pt.j,pt.k) ) + ERROR_MSG("Problem with heap.\n"); + } + } + } +} + +void perform_front_propagation_3d( T_callback_intert_node callback_insert_node ) +{ + // create the Fibonacci heap + struct fibheap* open_heap = fh_makeheap(); + fh_setcmp(open_heap, compare_points); + + double h = 1.0/n; + + // initialize points + for( int i=0; i=0 && jj>=0 && ii=0 && kk0 ) + a1 = GW_MIN( a1, D_(ii-1,jj,kk) ); + double a2 = GW_INFINITE; + if( jj0 ) + a2 = GW_MIN( a2, D_(ii,jj-1,kk) ); + double a3 = GW_INFINITE; + if( kk0 ) + a3 = GW_MIN( a3, D_(ii,jj,kk-1) ); + // order so that a1b) { SWAP(a,b); } + SWAPIF(a2,a3) + SWAPIF(a1,a2) + SWAPIF(a2,a3) + // update its distance + // now the equation is (a-a1)^2+(a-a2)^2+(a-a3)^2 - P^2 = 0, with a >= a3 >= a2 >= a1. + // => 3*a^2 - 2*(a2+a1+a3)*a - P^2 + a1^2 + a3^2 + a2^2 + // => delta = (a2+a1+a3)^2 - 3*(a1^2 + a3^2 + a2^2 - P^2) + double delta = (a2+a1+a3)*(a2+a1+a3) - 3*(a1*a1 + a2*a2 + a3*a3 - P*P); + double A1 = 0; + if( delta>=0 ) + A1 = ( a2+a1+a3 + sqrt(delta) )/3.0; + if( A1<=a3 ) + { + // at least a3 is too large, so we have + // a >= a2 >= a1 and a 2*a^2 - 2*(a1+a2)*a + a1^2+a2^2-P^2 + // delta = (a2+a1)^2 - 2*(a1^2 + a2^2 - P^2) + delta = (a2+a1)*(a2+a1) - 2*(a1*a1 + a2*a2 - P*P); + A1 = 0; + if( delta>=0 ) + A1 = 0.5 * ( a2+a1 +sqrt(delta) ); + if( A1<=a2 ) + A1 = a1 + P; + } + // update the value + if( ((int) S_(ii,jj,kk)) == kDead ) + { + // check if action has change. Should not appen for FM + // if( A1fhe_data ); // use same data for update + else + ERROR_MSG("Error in heap pool allocation."); + } + } + else if( ((int) S_(ii,jj,kk)) == kFar ) + { + if( D_(ii,jj,kk)!=GW_INFINITE ) + WARN_MSG("Distance must be initialized to Inf"); + if( L==NULL || A1<=L_(ii,jj,kk) ) + { + S_(ii,jj,kk) = kOpen; + // distance must have change. + D_(ii,jj,kk) = A1; + Q_(ii,jj,kk) = Q_(i,j,k); + // add to open list + point* pt = new point(ii,jj,kk); + existing_points.push_back( pt ); + heap_pool_(ii,jj,kk) = fh_insert( open_heap, pt ); // add to heap + } + } + else + WARN_MSG("Unkwnown state."); + } // end swich + } // end for + } // end while + + // free heap + fh_deleteheap(open_heap); + // free point pool + for( point_list::iterator it = existing_points.begin(); it!=existing_points.end(); ++it ) + GW_DELETE( *it ); + // free fibheap pool + GW_DELETEARRAY(heap_pool); + + return; +} \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_3d.def b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_3d.def new file mode 100644 index 0000000..dc88594 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_3d.def @@ -0,0 +1,3 @@ +LIBRARY perform_front_propagation_3d.dll +EXPORTS + mexFunction \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_3d.h b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_3d.h new file mode 100644 index 0000000..acd39f6 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_3d.h @@ -0,0 +1,33 @@ +#ifndef _PERFORM_FRONT_PROPAGATION_3D_H_ +#define _PERFORM_FRONT_PROPAGATION_3D_H_ + +#include +#include "config.h" +#include +#include +#include +#include + +// some global variables +extern int n; // width +extern int p; // height +extern int q; // height +extern double* D; +extern double* S; +extern double* W; +extern double* Q; +extern double* L; +extern double* start_points; +extern double* end_points; +extern double* H; +extern double* values; +extern int nb_iter_max; +extern int nb_start_points; +extern int nb_end_points; + +typedef bool (*T_callback_intert_node)(int i, int j, int k, int ii, int jj, int kk); + +// main function +void perform_front_propagation_3d(T_callback_intert_node callback_insert_node = NULL); + +#endif // _PERFORM_FRONT_PROPAGATION_3D_H_ \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_3d.vcproj b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_3d.vcproj new file mode 100644 index 0000000..447e229 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_3d.vcproj @@ -0,0 +1,220 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_3d_mex.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_3d_mex.cpp new file mode 100644 index 0000000..9612a8c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_3d_mex.cpp @@ -0,0 +1,120 @@ +/*================================================================= +% perform_front_propagation_3d - perform a Fast Marching front propagation. +% +% OLD : [D,S] = perform_front_propagation_2d(W,start_points,end_points,nb_iter_max,H); +% [D,S,Q] = perform_front_propagation_3d(W,start_points,end_points,nb_iter_max, H, L); +% +% 'D' is a 2D array containing the value of the distance function to seed. +% 'S' is a 2D array containing the state of each point : +% -1 : dead, distance have been computed. +% 0 : open, distance is being computed but not set. +% 1 : far, distance not already computed. +% 'W' is the weight matrix (inverse of the speed). +% 'start_points' is a 3 x num_start_points matrix where k is the number of starting points. +% 'H' is an heuristic (distance that remains to goal). This is a 2D matrix. +% +% Copyright (c) 2004 Gabriel Peyré +*=================================================================*/ + +#include "perform_front_propagation_3d.h" +#include "mex.h" + + +void mexFunction( int nlhs, mxArray *plhs[], + int nrhs, const mxArray*prhs[] ) +{ + /* retrive arguments */ + if( nrhs<4 ) + mexErrMsgTxt("4 - 7 input arguments are required."); + if( nlhs<1 ) + mexErrMsgTxt("1, 2 or 3 output arguments are required."); + + // first argument : weight list + if( mxGetNumberOfDimensions(prhs[0])!= 3 ) + mexErrMsgTxt("W must be a 3D array."); + n = mxGetDimensions(prhs[0])[0]; + p = mxGetDimensions(prhs[0])[1]; + q = mxGetDimensions(prhs[0])[2]; + W = mxGetPr(prhs[0]); + // second argument : start_points + start_points = mxGetPr(prhs[1]); + int tmp = mxGetM(prhs[1]); + nb_start_points = mxGetN(prhs[1]); + if( nb_start_points==0 || tmp!=3 ) + mexErrMsgTxt("start_points must be of size 3 x nb_start_poins."); + // third argument : end_points + end_points = mxGetPr(prhs[2]); + tmp = mxGetM(prhs[2]); + nb_end_points = mxGetN(prhs[2]); + if( nb_end_points!=0 && tmp!=3 ) + mexErrMsgTxt("end_points must be of size 3 x nb_end_poins."); + // argument 4 : nb_iter_max + nb_iter_max = (int) *mxGetPr(prhs[3]); + // argument 5 : heuristic + if( nrhs>=5 ) + { + H = mxGetPr(prhs[4]); + if( mxGetM(prhs[4])==0 && mxGetN(prhs[4])==0 ) + H=NULL; + if( H!=NULL && (mxGetDimensions(prhs[4])[0]!=n || mxGetDimensions(prhs[4])[1]!=p || mxGetDimensions(prhs[4])[2]!=q) ) + mexErrMsgTxt("H must be of size n x p x q."); + } + else + H = NULL; + // argument 6 : constraint map + if( nrhs>=6 ) + { + L = mxGetPr(prhs[5]); + if( L!=NULL && (mxGetDimensions(prhs[5])[0]!=n || mxGetDimensions(prhs[5])[1]!=p || mxGetDimensions(prhs[5])[2]!=q) ) + mexErrMsgTxt("L must be of size n x p x q."); + } + else + L = NULL; + // argument 7: value list + if( nrhs>=7 ) + { + values = mxGetPr(prhs[6]); + if( mxGetM(prhs[6])==0 && mxGetN(prhs[6])==0 ) + values=NULL; + if( values!=NULL && (mxGetM(prhs[6])!=nb_start_points || mxGetN(prhs[6])!=1) ) + mexErrMsgTxt("values must be of size nb_start_points x 1."); + } + else + values = NULL; + + // first ouput : distance + int dims[3] = {n,p,q}; + plhs[0] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL ); + D = mxGetPr(plhs[0]); + // second output : state + if( nlhs>=2 ) + { + plhs[1] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL ); + S = mxGetPr(plhs[1]); + } + else + { + S = new double[n*p*q]; + } + // third output : index + if( nlhs>=3 ) + { + plhs[2] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL ); + Q = mxGetPr(plhs[2]); + } + else + { + Q = new double[n*p*q]; + } + + + // launch the propagation + perform_front_propagation_3d(); + + if( nlhs<2 ) + GW_DELETEARRAY(S); + if( nlhs<3 ) + GW_DELETEARRAY(Q); + + return; +} \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_anisotropic.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_anisotropic.cpp new file mode 100644 index 0000000..0d247e2 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_anisotropic.cpp @@ -0,0 +1,88 @@ +#include "mex.h" +#include "anisotropic-fm/AnisotropicTensorDistance.h" +#include "anisotropic-fm/AnisotropicTensorDistanceConfidence.h" + +using namespace std; +using namespace FastLevelSet; + +#define start_points_(i,j) start_points[i+j*3] + +// D = perform_front_propagation_anisotropic(tensor_data, mask, alpha, start_points, dmax); + +void mexFunction(int nlhs, mxArray *plhs[], + int nrhs, const mxArray*prhs[] ) +{ + if( nrhs!=5 ) + mexErrMsgTxt("5 needed input : tensor, mask, alpha, start_points, dmax"); + if( nlhs!=2 ) + mexErrMsgTxt("2 output arguments are required."); + + if( mxGetNumberOfDimensions(prhs[0])!= 4 ) + mexErrMsgTxt("tensor_data must be a 4D array."); + if( mxGetNumberOfDimensions(prhs[1])!= 3 ) + mexErrMsgTxt("tensor must be a 3D array."); + + // input + double *tensor_data = mxGetPr(prhs[0]); // tensor field + double *mask_data = mxGetPr(prhs[1]); // mask field + double alpha = mxGetScalar(prhs[2]); // alpha + double* start_points = mxGetPr(prhs[3]); // starting points + int nstart = mxGetN(prhs[3]); // number of starting points + double dmax = mxGetScalar(prhs[4]); // starting points + + if( mxGetM(prhs[3])!=3 ) + mexErrMsgTxt("start_points should be of size (3,p)."); + + // width, height, depth + int w = mxGetDimensions(prhs[0])[0]; + int h = mxGetDimensions(prhs[0])[1]; + int d = mxGetDimensions(prhs[0])[2]; + + // number of dimensions for tensor field + const int ndims = 6; + + // output + int dims[3] = {w, h, d}; + // distance map + plhs[0] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL); + double *dist_data = mxGetPr(plhs[0]); + // Voronoi diagram (labels map) + plhs[1] = mxCreateNumericArray(3, dims, mxDOUBLE_CLASS, mxREAL); + double *voro = mxGetPr(plhs[1]); + + int size = w*h*d; + for(int i=0; i (malloc(size*ndims*sizeof(double))); + for(int i=0; i march(dist_data, + w,h,d, + mask_data, + tensor_data, + NULL, // tensor_power_data, + alpha, + voro); + int pos; + // set up starting points + double labels = 1, nstartd = (double)nstart; + for( int i=0; i +#include "config.h" +#include +#include +#include +#include +#include +#include +#include +#include +using std::string; +using std::cerr; +using std::cout; +using std::endl; + +#include "mex.h" +#include "gw/gw_core/GW_Config.h" +#include "gw/gw_core/GW_MathsWrapper.h" +#include "gw/gw_geodesic/GW_GeodesicMesh.h" +using namespace GW; + + +inline void display_message(const char* mess, int v) +{ + char str[128]; + sprintf(str, mess, v); + mexWarnMsgTxt(str); +} + + + +double* vertex = NULL; +int nverts = -1; +double* faces = NULL; +int nfaces = -1; +double* start_points = NULL; +int nstart = -1; +double* end_points = NULL; +int nend = -1; +double* H = NULL; // heuristic +double* L = NULL; // bound on current distance +double* Ww = NULL; // weight +int niter_max = -1; +double dmax = 1e9; +double* values = NULL; +// outputs +double* D = NULL; // distance +double* S = NULL; // state +double* Q = NULL; // nearest neighbor + +#define faces_(k,i) faces[k+3*i] +#define vertex_(k,i) vertex[k+3*i] + + +GW_Float WeightCallback(GW_GeodesicVertex& Vert) +{ + GW_U32 i = Vert.GetID(); + return Ww[i]; +} + +GW_Bool StopMarchingCallback( GW_GeodesicVertex& Vert ) +{ + // check if the end point has been reached + GW_U32 i = Vert.GetID(); +// display_message("ind %d",i ); +// display_message("dist %f",Vert.GetDistance() ); + if( Vert.GetDistance()>dmax ) + return true; + for( int k=0; k=7 ) + { + H = mxGetPr(prhs[6]); + int m =mxGetM(prhs[6]); + if( m>0 && m!=nverts ) + mexErrMsgTxt("H must be of size nverts."); + if( m==0 ) + H = NULL; + } + else + { + H = NULL; + } + // arg8 : L + if( nrhs>=8 ) + { + L = mxGetPr(prhs[7]); + int m =mxGetM(prhs[7]); + if( m>0 && mxGetM(prhs[7])!=nverts ) + mexErrMsgTxt("L must be of size nverts."); + if( m==0 ) + L = NULL; + } + else + L = NULL; + + // argument 9: value list + if( nrhs>=9 ) + { + values = mxGetPr(prhs[8]); + if( mxGetM(prhs[8])==0 && mxGetN(prhs[8])==0 ) + values=NULL; + if( values!=NULL && (mxGetM(prhs[8])!=nstart || mxGetN(prhs[8])!=1) ) + mexErrMsgTxt("values must be of size nb_start_points x 1."); + } + else + values = NULL; + // argument 10: dmax + if( nrhs>=9 ) + dmax = *mxGetPr(prhs[9]); + else + dmax = 1e9; + + + // first ouput : distance + plhs[0] = mxCreateDoubleMatrix(nverts, 1, mxREAL); + D = mxGetPr(plhs[0]); + // second output : state + plhs[1] = mxCreateDoubleMatrix(nverts, 1, mxREAL); + S = mxGetPr(plhs[1]); + // second output : segmentation + plhs[2] = mxCreateDoubleMatrix(nverts, 1, mxREAL); + Q = mxGetPr(plhs[2]); + + // create the mesh + GW_GeodesicMesh Mesh; + Mesh.SetNbrVertex(nverts); + for( int i=0; iSetDistance( values[i] ); + } + + // perform fast marching +// display_message("itermax=%d", niter_max); + Mesh.PerformFastMarching(); + + // output result + for( int i=0; iGetDistance(); + S[i] = v->GetState(); + GW_GeodesicVertex* v1 = v->GetFront(); + if( v1==NULL ) + Q[i] = -1; + else + Q[i] = v1->GetID(); + } + + + return; +} diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_mesh.def b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_mesh.def new file mode 100644 index 0000000..fcdd5ec --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_mesh.def @@ -0,0 +1,3 @@ +LIBRARY perform_front_propagation_mesh.dll +EXPORTS + mexFunction \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_mesh.vcproj b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_mesh.vcproj new file mode 100644 index 0000000..ece4702 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/perform_front_propagation_mesh.vcproj @@ -0,0 +1,477 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/skeleton.cpp b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/skeleton.cpp new file mode 100644 index 0000000..625e3ae --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/mex/skeleton.cpp @@ -0,0 +1,430 @@ +//*************************************************************************** +// +// Matlab C routine file: skelgrad.cpp +// +// Written 8/04 by N. Howe +// +// Input: +// img: binary silhouette image +// +// Output: +// skg: skeleton gradient transform +// skr: skeleton radius +// +//*************************************************************************** + +#include "mex.h" + +//*************************************************************************** + +#define SQR(x) (x)*(x) +#define MIN(x,y) (((x) < (y)) ? (x):(y)) +#define MAX(x,y) (((x) > (y)) ? (x):(y)) +#define ABS(x) (((x) < 0) ? (-(x)):(x)) +#define errCheck(a,b) if (!(a)) mexErrMsgTxt((b)); +#define cutBounds(i) (((i)>0) ? (((i) 8) { + int pivot; + int pivid; + int lo = 1; // everything to the left of lo is smaller than pivot + int hi = n-1; // everything to the right of hi is larger than the pivot + int tmp; + + pivid = rand()%n; + mxAssert((pivid >= 0),"Randomness too small"); + mxAssert((pivid < n),"Randomness too big"); + tmp = arr[0]; + arr[0] = arr[pivid]; + arr[pivid] = tmp; + pivot = arr[0]; // store value for convenience + while (hi != lo-1) { // keep going until everything has been categorized. + if (arr[lo] < pivot) { + // smaller than pivot, so stays here + lo++; + } else { + // larger than pivot, so moves to the other end + tmp = arr[hi]; + arr[hi] = arr[lo]; + arr[lo] = tmp; + hi--; + } + } + tmp = arr[hi]; + arr[hi] = arr[0]; + arr[0] = tmp; + quicksort(arr,hi); // sort smaller side of array + quicksort(arr+lo,n-lo); // sort bigger side of array + } else { + // use insertion sort + int i, j; + int tmp; + + for (i = 0; i < n; i++) { + for (j = i; (j > 0)&&(arr[j] < arr[j-1]); j--) { + tmp = arr[j]; + arr[j] = arr[j-1]; + arr[j-1] = tmp; + } + } + } +} +// end of quicksort() + +//**************************************************************************** +// +// joint_neighborhood() returns a byte value representing the immediate +// neighborhood of the specified joint in bit form, clockwise from NW. +// +// R/O arr: binary pixel array +// R/O i,j: coordinates of point +// R/O nrow, ncol: dimensions of binary image +// Returns: bit representation of 8-neighbors +// + +template +inline int joint_neighborhood(T *arr, int i, int j, int nrow, int ncol) { + int p = i+j*nrow; + int condition = 8*(i <= 0)+4*(j <= 0)+2*(i >= nrow)+(j >= ncol); + + switch (condition) { + case 0: // all points valid + return (arr[p-nrow-1]?1:0)+(arr[p-1]?2:0)+(arr[p]?4:0)+(arr[p-nrow]?8:0); + case 1: // right side not valid + return (arr[p-nrow-1]?1:0)+(arr[p-nrow]?8:0); + case 2: // bottom not valid + return (arr[p-nrow-1]?1:0)+(arr[p-1]?2:0); + case 3: // bottom and right not valid + return (arr[p-nrow-1]?1:0); + case 4: // left side not valid + return (arr[p-1]?2:0)+(arr[p]?4:0); + case 5: // left and right sides not valid + return 0; + case 6: // left and bottom sides not valid + return (arr[p-1]?2:0); + case 7: // left, bottom, and right sides not valid + return 0; + case 8: // top side not valid + return (arr[p]?4:0)+(arr[p-nrow]?8:0); + case 9: // top and right not valid + return (arr[p-nrow]?8:0); + case 10: // top and bottom not valid + case 11: // top, bottom and right not valid + return 0; + case 12: // top and left not valid + return (arr[p]?4:0); + case 13: // top, left and right sides not valid + case 14: // top, left and bottom sides not valid + case 15: // no sides valid + return 0; + default: + mexErrMsgTxt("Impossible condition.\n"); + return -1; + } +} + +//*************************************************************************** +// +// compute_skeleton_gradient() does the main computation. +// Written as a template to support multiple image types. +// +// R/O img: the image +// R/O nrow, ncol: image dimensions +// R/O nlhs: number of arguments to return +// W/O plhs: array of return arguments (0 = gradient, 1 = radius) +// + +template void +compute_skeleton_gradient(T *img, int nrow, int ncol, int nlhs, + mxArray **plhs) { + int i, j, ei, ej, inear; + int ijunc, iedge, iseq, lastdir, mind, minjunc, pspan; + int jnrow = nrow+1, jncol = ncol+1; + int njunc, jhood, nedge, nnear; + int *jx, *jy, *edgej, *seqj, *edgelen; + int *dNE, *dNW, *dSE, *dSW, *nearj; + bool *seenj; + double *skg, *rad; + + // count junctions + njunc = 0; + for (j = 0; j < jncol; j++) { + for (i = 0; i < jnrow; i++) { + jhood = joint_neighborhood(img,i,j,nrow,ncol); + if ((jhood != 0)&&(jhood != 15)) { + njunc++; + } + } + } + //mexPrintf("Counted %d junctions.\n",njunc); + + // allocate scratch space + jx = (int*)mxMalloc(njunc*sizeof(int)); + jy = (int*)mxMalloc(njunc*sizeof(int)); + seqj = (int*)mxMalloc(njunc*sizeof(int)); + edgej = (int*)mxMalloc(njunc*sizeof(int)); + seenj = (bool*)mxMalloc(jnrow*jncol*sizeof(bool)); + dNE = (int*)mxMalloc(njunc*sizeof(int)); + dNW = (int*)mxMalloc(njunc*sizeof(int)); + dSE = (int*)mxMalloc(njunc*sizeof(int)); + dSW = (int*)mxMalloc(njunc*sizeof(int)); + nearj = (int*)mxMalloc(njunc*sizeof(int)); + for (i = 0; i < jnrow*jncol; i++) { + seenj[i] = false; + } + //mexPrintf("Space allocated\n"); + + // register junctions + ijunc = 0; + nedge = 0; + for (j = 0; j < jncol; j++) { + for (i = 0; i < jnrow; i++) { + jhood = joint_neighborhood(img,i,j,nrow,ncol); + //mexPrintf("(%d,%d) neighborhood: %d.\n",i,j,jhood); + mxAssert(i+j*jnrow>=0&&i+j*jnrow=0)&&(ijunc=0)&&(ej>=0)&&(ei 1) { + plhs[1] = mxCreateNumericMatrix(nrow,ncol,mxDOUBLE_CLASS,mxREAL); + rad = mxGetPr(plhs[1]); + } + for (j = 0; j < ncol; j++) { + for (i = 0; i < nrow; i++) { + if (img[i+j*nrow]) { + // compute distance to all junction points + // keeping track of minimum + mind = SQR(jnrow+jncol); + minjunc = -1; + for (ijunc = 0; ijunc < njunc; ijunc++) { + dNE[ijunc] = SQR(i-jy[ijunc])+SQR(j-jx[ijunc]); + dNW[ijunc] = SQR(i-jy[ijunc])+SQR(j+1-jx[ijunc]); + dSE[ijunc] = SQR(i+1-jy[ijunc])+SQR(j-jx[ijunc]); + dSW[ijunc] = SQR(i+1-jy[ijunc])+SQR(j+1-jx[ijunc]); + if (dNE[ijunc] < mind) { + mind = dNE[ijunc]; + minjunc = ijunc; + } + if (dNW[ijunc] < mind) { + mind = dNW[ijunc]; + minjunc = ijunc; + } + if (dSE[ijunc] < mind) { + mind = dSE[ijunc]; + minjunc = ijunc; + } + if (dSW[ijunc] < mind) { + mind = dSW[ijunc]; + minjunc = ijunc; + } + } + //mexPrintf("Point (%d,%d): junction %d.\n",i,j,minjunc); + mxAssert((minjunc >=0)&&(minjunc=0)&&(edgej[minjunc] 1) { + rad[i+j*nrow] = mind; + } + + // find all other junction points at minimal distance + nnear = pspan = 0; + for (ijunc = 0; ijunc < njunc; ijunc++) { + if ((dNE[ijunc] <= dNE[minjunc])||(dNW[ijunc] <= dNW[minjunc])|| + (dSE[ijunc] <= dSE[minjunc])||(dSW[ijunc] <= dSW[minjunc])) { + // we have a candidate junction + if (edgej[ijunc] != edgej[minjunc]) { + pspan = -1; + break; + } else { + nearj[nnear] = seqj[ijunc]; + nnear++; + } + } + } + + if (pspan >= 0){ + // compute perimeter span -- find largest gap and take remainder + quicksort(nearj,nnear); + //mexPrintf("Positions: "); + //for (inear = 0; inear < nnear; inear++) { + // mexPrintf("%d ",nearj[inear]); + //} + pspan = nearj[0]-nearj[nnear-1]+edgelen[edgej[minjunc]]; + //mexPrintf("\nDifferences: %d ",pspan); + for (inear = 1; inear < nnear; inear++) { + if (pspan < nearj[inear]-nearj[inear-1]) { + pspan = nearj[inear]-nearj[inear-1]; + } + //mexPrintf("%d ",nearj[inear]-nearj[inear-1]); + } + //mexPrintf(" => Result: %d (from %d; ep = %d).\n", + // edgelen[edgej[minjunc]]-pspan,pspan, + // edgelen[edgej[minjunc]]); + pspan = edgelen[edgej[minjunc]]-pspan; + skg[i+j*nrow] = pspan; + } else { + skg[i+j*nrow] = mxGetInf(); + } + + //mexPrintf("Final span: %g.\n",pspan); + } else { + skg[i+j*nrow] = 0; + if (nlhs > 1) { + rad[i+j*nrow] = 0; + } + } + } + } + + // free space + mxFree(jx); + mxFree(jy); + mxFree(seqj); + mxFree(edgej); + mxFree(seenj); + mxFree(dNE); + mxFree(dNW); + mxFree(dSE); + mxFree(dSW); + mxFree(nearj); +} +// end of compute_skeleton_gradient() + +//*************************************************************************** +// +// Gateway driver to call the calculation from Matlab. +// +// This is the Matlab entry point. +// + +void +mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) { + int nrow, ncol; + double *img; + + // check for proper number of arguments + errCheck(nrhs == 1,"Exactly one input argument required."); + errCheck(nlhs <= 2,"Too many output arguments."); + + // check format of arguments + errCheck(mxIsUint8(prhs[0])||mxIsLogical(prhs[0])||mxIsDouble(prhs[0]), + "Input must be double binary image."); + nrow = mxGetM(prhs[0]); + ncol = mxGetN(prhs[0]); + img = mxGetPr(prhs[0]); + + // process image + if (mxIsDouble(prhs[0])) { + compute_skeleton_gradient(img,nrow,ncol,nlhs,plhs); + } else { + compute_skeleton_gradient((unsigned char *)img,nrow,ncol,nlhs,plhs); + } +} +// end of mexFunction() diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_active_contour.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_active_contour.m new file mode 100644 index 0000000..0c0780d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_active_contour.m @@ -0,0 +1,203 @@ +function D = perform_active_contour(D0, motion, options) + +% perform_active_contour - perform active contour resolution +% +% D = perform_active_contour(D0, motion, options); +% +% Level set implementation of various active contour, all related to +% motion by mean curvature. +% +% The resolution is done by an explicit euler, the time sep is options.dt +% and should be quite small for stability. The maximum time is +% options.Tmax. +% +% In the following, one denotes the curvature of the level sets of D as +% Curv(D) = div(grad(D)/|grad(D)|) +% and D' = d(D)/dt the time derivative. +% +% motion can be: +% 'mean': D' = |grad(D)| * Curv(D) +% 'affine': D' = |grad(D)| * Curv(D)^(1/3) +% 'errosion': D' = |grad(D)| * max(Curv(D),0)^(1/3) +% 'snakes': D' = E * |grad(D)| * Curv(D) + +% 'chan-vese': D' = |grad(D)| * ( Curv(D) - lambda*(D-c1)^2 + lambda*(D-c2)^2 ) +% +% You can provide the parameters in options.E, options.c1, options.c2, +% options.lambda. You can turn on the automatic update of c1/c2 using +% options.update_c. +% +% The distance function D is redistanced every options.redistance_freq +% iterations. +% +% To turn off the display, options.do_display=0. You can provide a +% background image in options.M. +% +% See also: display_segmentation. +% +% Copyright (c) 2007 Gabriel eyre + +dt = getoptions(options, 'dt', 1000); +Tmax = getoptions(options, 'Tmax', 1000); +do_display = getoptions(options, 'display', 1); +display_freq = getoptions(options, 'display_freq', 20); +redistance_freq = getoptions(options, 'redistance_freq', 30); +lambda = getoptions(options, 'lambda', 0.8); +update_c = getoptions(options, 'update_c', 1); +c1 = getoptions(options, 'c1', 0.1); +c2 = getoptions(options, 'c2', 0.8); +nb_svg = getoptions(options, 'nb_svg', 0); +solver = getoptions(options, 'solver', 'cg'); +svg_path = getoptions(options, 'svg_path', ''); % ['results/active-contour/' motion '/']); +if strcmp(motion,'chan-vese') || strcmp(motion, 'snake') || strcmp(motion, 'chan-vese-user') + E = getoptions(options, 'E', 0, 1); +else + E = []; +end +M = getoptions(options, 'M', E(:,:,1)); +options.bound = 'per'; + +if not(isempty(svg_path)) && not(exist(svg_path)) + mkdir(svg_path); +end + +nb_phase = 1; +if not(isempty(E)) + nb_phase = 2 - (size(E,3)==1); +end + +if strcmp(motion, 'snake') + % pre compute gradient of the energy + dE = divgrad(E,options); +end + +D = D0; +n = size(D0,1); +epsilon = 1e-3; +niter = round(Tmax/dt); + +if nb_svg>0 + % distribute more svg at the begining of the iterations + svg_list = round( 1 + linspace(0,1,nb_svg+2).^3*niter ); svg_list(1) = []; + % delta_svg = niter/nb_svg; + if not(exist(svg_path)) + mkdir(svg_path); + end +else + delta_svg = Inf; +end +next_svg = 0; +nb = 0; + + +for i=1:niter + progressbar(i,niter); + for k=1:nb_phase + g0(:,:,:,k) = divgrad(D(:,:,k),options); + d(:,:,k) = max(epsilon, sqrt(sum(g0(:,:,:,k).^2,3)) ); + g(:,:,:,k) = g0(:,:,:,k) ./ repmat( d(:,:,k), [1 1 2] ); + end + + if strcmp(solver, 'grad') + %%%% gradient %%%% + switch lower(motion) + case 'mean' + dD = d .* divgrad( g,options ); + case 'affine' + gg = divgrad(g,options); + dD = d .* sign(gg) .* abs(gg).^(1/3); + case 'errosion' + dD = d .* max(divgrad(g,options),0).^(1/3); + case 'snake' + dD = E .* d .* divgrad( g,options ) + sum(dE.*g0, 3); + case 'chan-vese' + % compute the inner / outer constant + if update_c + c1 = mean( E(D>=0) ); + c2 = mean( E(D<0) ); + end + dD = d .* ( divgrad( g,options ) - lambda*(E-c1).^2 + lambda*(E-c2).^2 ); + case 'chan-vese-user' + if nb_phase==1 + % single phase + dD = d .* ( divgrad( g,options ) + E ); + else + for k=1:nb_phase + dG = divgrad( g(:,:,:,k),options ); + dD(:,:,k) = d(:,:,k) .* ( dG - E(:,:,2*k-1).*(D(:,:,3-k)>0) - E(:,:,2*k).*(D(:,:,3-k)<=0) ); + end + end + otherwise + error('Unknown motion'); + end + D = D + dt*dD; + else + options.E = []; + switch lower(motion) + case 'mean' + C = zeros(n); + case 'snake' + options.E = E; + C = sum(dE.*g0, 3); + case 'chan-vese' + % compute the inner / outer constant + if update_c + c1 = mean( E(D>=0) ); + c2 = mean( E(D<0) ); + end + C = - lambda*(E-c1).^2 + lambda*(E-c2).^2; + case 'chan-vese-user' + C = E; + otherwise + error('Unknown motion'); + end + %%%% conjugate gradient %%%% + % right hand side + y = D + dt*C; + options.d = d; + options.dt = dt; + options.n = n; options.ncols = n^2; + options.niter_max = 20; + ptions.epsilon = 1e-8; + options.x = D(:); + [D,err,k] = perform_conjugate_gradient(@callback_active_contour,y(:),options); + D = reshape(D,n,n); + end + + if mod(i,redistance_freq)==0 + for k=1:nb_phase + D(:,:,k) = perform_redistancing(D(:,:,k), options); + end + end + if do_display && ( mod(i,display_freq)==1 || i>=next_svg ) + A = prod(D,3); + if strcmp(motion, 'snake') || strcmp(motion, 'chan-vese') || strcmp(motion, 'chan-vese-user') + A = M; + end + clf; + display_segmentation(D,A); + drawnow; + + if 0 + clf; + hold on; + if strcmp(motion, 'snake') || strcmp(motion, 'chan-vese') || strcmp(motion, 'chan-vese-user') + imagesc(M); axis image; axis off; axis([1 n 1 n]); + else + imagesc(D); axis image; axis off; axis([1 n 1 n]); + end +% h = plot(c(1,:), c(2,:), 'r'); + [c,h] = contour(D,[0 0], 'r'); + set(h, 'LineWidth', 2); + drawnow; + hold off; + colormap gray(256); + end + + if i>=next_svg + nb = nb+1; + % save image + saveas(gcf, [svg_path motion '-' num2string_fixeddigit(nb, 2) '.png'], 'png'); + next_svg = svg_list(nb); % next_svg+delta_svg; + end + end +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_circular_fast_marching_2d.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_circular_fast_marching_2d.m new file mode 100644 index 0000000..5dffafb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_circular_fast_marching_2d.m @@ -0,0 +1,67 @@ +function [D,S] = perform_circular_fast_marching_2d(W, start_points, center_point, options, H) + +% perform_circular_fast_marching_2d - launch the Fast Marching algorithm for circular propagation. +% +% [D,S] = perform_circular_fast_marching_2d(W, start_points,center_point,options, H); +% +% 'W' is the weight matrix (the highest, the slowest the front will move). +% 'start_points' is a 2 x k array, start_points(:,i) is the ith starting point . +% 'center_point' is a 2 x k array, it is the center around the flow will turn. +% +% Optional: +% - You can provide special conditions for stop in options : +% 'options.end_points' : stop when these points are reached +% 'options.nb_iter_max' : stop when a given number of iterations is +% reached. +% - You can provide an heuristic (typically that try to guess the distance +% that remains from a given node to a given target). +% This is an array of same size as W. +% +% Copyright (c) 2004 Gabriel Peyré + + +if nargin<4 + options.null = 0; +end + +if isfield(options,'end_points') + end_points = options.end_points; +else + end_points = []; +end + +if isfield(options,'end_points') + end_points = options.end_points; +else + end_points = []; +end + +if isfield(options,'verbose') + verbose = options.verbose; +else + verbose = 1; +end + +if isfield(options,'nb_iter_max') + nb_iter_max = options.nb_iter_max; +else + nb_iter_max = Inf; +end + +nb_iter_max = min(nb_iter_max, 1.2*max(size(W))^2); + + +% use fast C-coded version if possible +if exist('perform_front_propagation_2d')~=0 + if nargin<5 + [D,S] = perform_circular_front_propagation_2d(W,start_points-1,end_points-1,center_point-1,nb_iter_max); + else + [D,S] = perform_circular_front_propagation_2d(W,start_points-1,end_points-1,center_point-1,nb_iter_max, H); + end +else + error('You must compile the mex files.'); +end + +% replace C 'Inf' value (1e9) by Matlab Inf value. +I = find( D>10000 ); +D(I) = Inf; diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_farthest_landmark_sampling.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_farthest_landmark_sampling.m new file mode 100644 index 0000000..d046f60 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_farthest_landmark_sampling.m @@ -0,0 +1,51 @@ +function landmark = perform_farthest_landmark_sampling( W, landmark, DL_landmark, base_points, DL_base, nbr_points ) + +% perform_farthest_landmark_sampling - samples landmark using least error seeding strategy +% +% points = perform_farthest_landmark_sampling( W, points, nbr_points, DL, base_points ); +% +% points can be [] +% DL is the distance map to base_points, wich is a 2 x p matrix +% +% Copyright (c) 2005 Gabriel Peyré + +if size(base_points,1)~=2 + base_points = base_points'; +end +if size(landmark,1)~=2 + landmark = landmark'; +end +if size(base_points,1)~=2 + error('base_points and landmark should be of size 2xp'); +end + +n = size(W,1); +nbr_bp = size(base_points,2); +nbr_lm = size(landmark,2); +% number of seeded point for each trial +nbr_trial = 50; + + +for i=1:nbr_points + % new potential location at random + trial = floor( rand(2,nbr_trial)*n ) + 1; + err = []; + for k=1:nbr_trial + % compute distance to trial + D = perform_fast_marching(W, trial(:,k)); + % new list of distance + DL = cat(3, DL_landmark, D); + % compute cummulative error with this new point distance + e = 0; + for s=1:nbr_bp + D1 = compute_distance_landmark(base_points(:,s),DL,landmark,'align'); + m = D1-DL_base(:,:,s); + e = e + sum( m(:).^2 ); + end + err = [err, e]; + end + % retrieve best match + [tmp,I] = min(err); + % add it to list + landmark = [ landmark, trial(:,I) ]; +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_farthest_point_sampling.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_farthest_point_sampling.m new file mode 100644 index 0000000..f27b23b --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_farthest_point_sampling.m @@ -0,0 +1,130 @@ +function [points,D] = perform_farthest_point_sampling( W, points, npoints, options ) + +% perform_farthest_point_sampling - samples points using farthest seeding strategy +% +% points = perform_farthest_point_sampling( W, points, npoints ); +% +% points can be [] or can be a (2,npts) matrix of already computed +% sampling locations. +% +% Copyright (c) 2005 Gabriel Peyre + +options.null = 0; +if nargin<3 + npoints = 1; +end +if nargin<2 + points = []; +end +n = size(W,1); + +aniso = 0; +d = nb_dims(W); +if d==4 + aniso = 1; + d = 2; % tensor field +elseif d==5 + aniso = 1; + d = 3; % tensor field +end +s = size(W); +s = s(1:d); + +% domain constraints (for shape meshing) +L1 = getoptions(options, 'constraint_map', zeros(s) + Inf ); +verb = getoptions(options, 'verb', 1); +mask = not(L1==-Inf); + +if isempty(points) + % initialize farthest points at random + points = round(rand(d,1)*(n-1))+1; + % replace by farthest point + [points,L] = perform_farthest_point_sampling( W, points, 1 ); + Q = ones(size(W)); + points = points(:,end); + npoints = npoints-1; +else + % initial distance map + [L,Q] = my_eval_distance(W, points, options); +% L = min(zeros(s) + Inf, L1); +% Q = zeros(s); +end + +for i=1:npoints + if npoints>5 && verb==1 + progressbar(i,npoints); + end + options.nb_iter_max = Inf; + options.Tmax = Inf; % sum(size(W)); + % [D,S] = perform_fast_marching(W, points, options); + options.constraint_map = L; + pts = points; + if not(aniso) + pts = pts(:,end); + end + D = my_eval_distance(W, pts, options); + Dold = D; + D = min(D,L); % known distance map to lanmarks + L = min(D,L1); % cropp with other constraints + if not(isempty(Q)) + % update Voronoi + Q(Dold==D) = size(points,2); + end + % remove away data + D(D==Inf) = 0; + if isempty(Q) + % compute farthest points + [tmp,I] = max(D(:)); + [a,b,c] = ind2sub(size(W),I(1)); + else + % compute farthest steiner point + [pts,faces] = compute_saddle_points(Q,D,mask); + a = pts(1,1); b = pts(2,1); c = []; + if d==3 + c = pts(3,1); + end + end + if d==2 % 2D + points = [points,[a;b]]; + else % 3D + points = [points,[a;b;c]]; + end +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function [D,Q] = my_eval_distance(W, x, options) + +% D is distance +% Q is voronoi segmentation + +options.null = 0; +n = size(W,1); +d = nb_dims(W); + +if std(W(:))1 + D = zeros(n)+Inf; + Q = zeros(n); + for i=1:size(x,2) + Dold = D; Qold = Q; + D = min(Dold, my_eval_distance(W,x(:,i))); + % update voronoi segmentation + Q(:) = i; + Q(D==Dold) = Qold(D==Dold); + end + return; + end + if d==2 + [Y,X] = meshgrid(1:n,1:n); + D = 1/W(1) * sqrt( (X-x(1)).^2 + (Y-x(2)).^2 ); + else + [X,Y,Z] = ndgrid(1:n,1:n,1:n); + D = 1/W(1) * sqrt( (X-x(1)).^2 + (Y-x(2)).^2 + (Z-x(3)).^2 ); + end + Q = D*0+1; +else + [D,S,Q] = perform_fast_marching(W, x, options); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_farthest_point_sampling_boundary.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_farthest_point_sampling_boundary.m new file mode 100644 index 0000000..26c8c15 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_farthest_point_sampling_boundary.m @@ -0,0 +1,50 @@ +function points = perform_farthest_point_sampling_boundary( W, points, nbr_pts, method ) + +% perform_farthest_point_sampling - samples points using farthest seeding strategy +% +% points = perform_farthest_point_sampling( W, points, nbr_points ); +% +% points can be [] +% +% Copyright (c) 2005 Gabriel Peyré + +if nbr_pts>1 + for i=1:nbr_pts + points = perform_farthest_point_sampling_boundary( W, points, 1 ); + end + return; +end + +if isempty(points) + points = [1;1]; + return; +end + +if size(points,1)~=2 + points = points'; +end +n = size(W,1); + +if nargin<4 + method = 'boundary'; +end + +if strcmp(method, 'boundary') + t = 1:n; + it = 1:n; + a = 0*t+1; + b = 0*t+n; + trial = [ [t;a] [b;t] [it;b] [a;it] ]; +else + x = round( linspace(1,n,64) ); + [Y,X] = meshgrid(1:n,1:n); + trial = [X(:)'; Y(:)']; +end + +D = compute_distance_to_points(points,trial); + +d = min(D,[],2); + +[tmp,I] = max(d); + +points = [points, trial(:,I)]; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_farthest_point_sampling_mesh.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_farthest_point_sampling_mesh.m new file mode 100644 index 0000000..54716d7 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_farthest_point_sampling_mesh.m @@ -0,0 +1,65 @@ +function [points,D] = perform_farthest_point_sampling_mesh( vertex,faces, points, nbr_iter, options ) + +% perform_farthest_point_sampling - samples points using farthest seeding strategy +% +% [points,D] = perform_farthest_point_sampling_mesh( vertex,faces, points, nbr_iter, options ); +% +% points can be [] or can be a (nb.points,1) matrix of already computed +% sampling locations. +% +% See also: perform_fast_marching_mesh. +% +% Copyright (c) 2007 Gabriel Peyre + +options.null = 0; +if nargin<3 + nb_iter = 1; +end + +[vertex,faces] = check_face_vertex(vertex,faces); + +n = size(vertex,2); + +L1 = getoptions(options, 'constraint_map', zeros(n,1) + Inf ); + +if nargin<2 || isempty(points) + % initialize farthest points at random + points = round(rand(1,1)*(n-1))+1; + % replace by farthest point + [points,L] = perform_farthest_point_sampling_mesh( vertex,faces, points, 1, options ); + points = points(end); + nbr_iter = nbr_iter-1; +else + % initial distance map + L = min(zeros(n,1) + Inf, L1); +end +for i=1:nbr_iter + if nbr_iter>5 + progressbar( i, nbr_iter ); + end + options.nb_iter_max = Inf; + options.constraint_map = L; + D = my_eval_distance(vertex,faces, points(end), options); + D = min(D,L); % known distance map to lanmarks + L = min(D,L1); % cropp with other constraints + % remove away data + D(D==Inf) = 0; + % compute farhtest points + [tmp,I] = max(D(:)); + points = [points,I(1)]; +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function D = my_eval_distance(vertex,faces,x, options) + +options.null = 0; + +if length(x)>1 + D = zeros(n)+Inf; + for i=1:length(x) + D = min(D, my_eval_distance(vertex,faces,x(i))); + end + return; +end +[D,Z,Q] = perform_fast_marching_mesh(vertex, faces, x, options); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_fast_marching.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_fast_marching.m new file mode 100644 index 0000000..7449f5a --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_fast_marching.m @@ -0,0 +1,126 @@ +function [D,S,Q] = perform_fast_marching(W, start_points, options) + +% perform_fast_marching - launch the Fast Marching algorithm, in 2D or 3D. +% +% [D,S,Q] = perform_fast_marching(W, start_points, options) +% +% W is an (n,n) (for 2D, d=2) or (n,n,n) (for 3D, d=3) +% weight matrix. The geodesics will follow regions where W is large. +% W must be > 0. +% 'start_points' is a d x k array, start_points(:,i) is the ith starting point . +% +% D is the distance function to the set of starting points. +% S is the final state of the points : -1 for dead (ie the distance +% has been computed), 0 for open (ie the distance is only a temporary +% value), 1 for far (ie point not already computed). Distance function +% for far points is Inf. +% Q is the index of the closest point. Q is set to 0 for far points. +% Q provide a Voronoi decomposition of the domain. +% +% Optional: +% - You can provide special conditions for stop in options : +% 'options.end_points' : stop when these points are reached +% 'options.nb_iter_max' : stop when a given number of iterations is +% reached. +% - You can provide an heuristic in options.heuristic (typically that try to guess the distance +% that remains from a given node to a given target). +% This is an array of same size as W. +% - You can provide a map L=options.constraint_map that reduce the set of +% explored points. Only points with current distance smaller than L +% will be expanded. Set some entries of L to -Inf to avoid any +% exploration of these points. +% - options.values set the initial distance value for starting points +% (default value is 0). +% +% See also: perform_fast_marching_3d. +% +% Copyright (c) 2007 Gabriel Peyre + + +options.null = 0; + +end_points = getoptions(options, 'end_points', []); +verbose = getoptions(options, 'verbose', 1); +nb_iter_max = getoptions(options, 'nb_iter_max', Inf); +values = getoptions(options, 'values', []); +L = getoptions(options, 'constraint_map', []); +H = getoptions(options, 'heuristic', []); +dmax = getoptions(options, 'dmax', Inf); + +d = nb_dims(W); + +if (d==4 && size(W,3)==2 && size(W,4)==2) || (d==4 && size(W,4)==6) || (d==5 && size(W,4)==3 && size(W,5)==3) + % anisotropic fast marching + if d==4 && size(W,3)==2 && size(W,4)==2 + % 2D vector field -> 3D field + W1 = zeros(size(W,1), size(W,2), 3, 3); + W1(:,:,1:2,1:2) = W; + W1(:,:,3,3) = 1; + W = reshape(W1, [size(W,1) size(W,2), 1 3 3]); + % convert to correct size + W = cat(4, W(:,:,:,1,1), W(:,:,:,1,2), W(:,:,:,1,3), W(:,:,:,2,2), W(:,:,:,2,3), W(:,:,:,3,3) ); + end + if d==5 + % convert to correct size + W = cat(4, W(:,:,:,1,1), W(:,:,:,1,2), W(:,:,:,1,3), W(:,:,:,2,2), W(:,:,:,2,3), W(:,:,:,3,3) ); + end + + if size(start_points,1)==2 + start_points(end+1,:) = 1; + end + if size(start_points,1)~=3 + error('start_points should be of size (3,n)'); + end + + % padd to avoid boundary problem + W = cat(1, W(1,:,:,:), W, W(end,:,:,:)); + W = cat(2, W(:,1,:,:), W, W(:,end,:,:)); + W = cat(3, W(:,:,1,:), W, W(:,:,end,:)); + +% if isempty(L) + L = ones(size(W,1), size(W,2), size(W,3)); + % end + + if dmax==Inf + dmax = 1e15; + end + +% start_points = start_points-1; + alpha = 0; + [D,Q] = perform_front_propagation_anisotropic(W, L, alpha, start_points,dmax); + + % remove boundary problems + D = D(2:end-1,2:end-1,2:end-1); + Q = Q(2:end-1,2:end-1,2:end-1); + S = []; + D(D>1e20) = Inf; + return; +end + + +if d~=2 && d~=3 + error('Works only in 2D and 3D.'); +end +if size(start_points,1)~=d + error('start_points should be (d,k) dimensional with k=2 or 3.'); +end + +L(L==-Inf)=-1e9; +L(L==Inf)=1e9; +nb_iter_max = min(nb_iter_max, 1.2*max(size(W))^d); + +% use fast C-coded version if possible +if d==2 + if exist('perform_front_propagation_2d')~=0 + [D,S,Q] = perform_front_propagation_2d(W,start_points-1,end_points-1,nb_iter_max, H, L, values); + else + [D,S] = perform_front_propagation_2d_slow(W,start_points,end_points,nb_iter_max, H); + Q = []; + end +elseif d==3 + [D,S,Q] = perform_front_propagation_3d(W,start_points-1,end_points-1,nb_iter_max, H, L, values); +end +Q = Q+1; + +% replace C 'Inf' value (1e9) by Matlab Inf value. +D(D>1e8) = Inf; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_fast_marching_mesh.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_fast_marching_mesh.m new file mode 100644 index 0000000..b1a1594 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_fast_marching_mesh.m @@ -0,0 +1,71 @@ +function [D,S,Q] = perform_fast_marching_mesh(vertex, faces, start_points, options) + +% perform_fast_marching_mesh - launch the Fast Marching algorithm on a 3D mesh. +% +% [D,S,Q] = perform_fast_marching_mesh(vertex, faces, start_points, options) +% +% vertex, faces: a 3D mesh +% start_points(i) is the index of the ith starting point . +% +% D is the distance function to the set of starting points. +% S is the final state of the points : -1 for dead (ie the distance +% has been computed), 0 for open (ie the distance is only a temporary +% value), 1 for far (ie point not already computed). Distance function +% for far points is Inf. +% Q is the index of the closest point. Q is set to 0 for far points. +% Q provide a Voronoi decomposition of the domain. +% +% Optional: +% - You can provide non-uniform speed in options.W. +% - You can provide special conditions for stop in options : +% 'options.end_points' : stop when these points are reached +% 'options.nb_iter_max' : stop when a given number of iterations is +% reached. +% - You can provide an heuristic in options.heuristic (typically that try to guess the distance +% that remains from a given node to a given target). +% This is an array of same size as W. +% - You can provide a map L=options.constraint_map that reduce the set of +% explored points. Only points with current distance smaller than L +% will be expanded. Set some entries of L to -Inf to avoid any +% exploration of these points. +% +% Copyright (c) 2004-2006 Gabriel Peyr? + + +options.null = 0; +nverts = max(size(vertex)); + +end_points = getoptions(options, 'end_points', []); +verbose = getoptions(options, 'verbose', 1); +nb_iter_max = getoptions(options, 'nb_iter_max', Inf); +W = getoptions(options, 'W', ones(nverts,1) ); +L = getoptions(options, 'constraint_map', []); +H = getoptions(options, 'heuristic', []); +values = getoptions(options, 'values', []); +dmax = getoptions(options, 'dmax', 1e9); + +I = find(L==-Inf); L(I)=-1e9; +I = find(L==Inf); L(I)=1e9; + +nb_iter_max = min(nb_iter_max, 1.2*max(size(W))); + +if size(vertex,1)>size(vertex,2) + vertex = vertex'; +end +if size(faces,1)>size(faces,2) + faces = faces'; +end +start_points = start_points(:); +end_points = end_points(:); + +% use fast C-coded version if possible +if exist('perform_front_propagation_2d')~=0 + [D,S,Q] = perform_front_propagation_mesh(vertex, faces-1, W,start_points-1,end_points-1, nb_iter_max, H, L, values, dmax); + Q = Q+1; +else + error('You have to run compiler_mex before.'); +end + +% replace C 'Inf' value (1e9) by Matlab Inf value. +I = find( D>1e8 ); +D(I) = Inf; diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_fast_marching_old.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_fast_marching_old.m new file mode 100644 index 0000000..b485891 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_fast_marching_old.m @@ -0,0 +1,119 @@ +function [D,S,Q] = perform_fast_marching(W, start_points, options) + +% perform_fast_marching - launch the Fast Marching algorithm, in 2D or 3D. +% +% [D,S,Q] = perform_fast_marching(W, start_points, options) +% +% W is an (n,n) (for 2D, d=2) or (n,n,n) (for 3D, d=3) +% weight matrix. The geodesics will follow regions where W is large. +% W must be > 0. +% 'start_points' is a d x k array, start_points(:,i) is the ith starting point . +% +% D is the distance function to the set of starting points. +% S is the final state of the points : -1 for dead (ie the distance +% has been computed), 0 for open (ie the distance is only a temporary +% value), 1 for far (ie point not already computed). Distance function +% for far points is Inf. +% Q is the index of the closest point. Q is set to 0 for far points. +% Q provide a Voronoi decomposition of the domain. +% +% Optional: +% - You can provide special conditions for stop in options : +% 'options.end_points' : stop when these points are reached +% 'options.nb_iter_max' : stop when a given number of iterations is +% reached. +% - You can provide an heuristic in options.heuristic (typically that try to guess the distance +% that remains from a given node to a given target). +% This is an array of same size as W. +% - You can provide a map L=options.constraint_map that reduce the set of +% explored points. Only points with current distance smaller than L +% will be expanded. Set some entries of L to -Inf to avoid any +% exploration of these points. +% - options.values set the initial distance value for starting points +% (default value is 0). +% +% See also: perform_fast_marching_3d. +% +% Copyright (c) 2007 Gabriel Peyre + + +options.null = 0; + +end_points = getoptions(options, 'end_points', []); +verbose = getoptions(options, 'verbose', 1); +nb_iter_max = getoptions(options, 'nb_iter_max', Inf); +values = getoptions(options, 'values', []); +L = getoptions(options, 'constraint_map', []); +H = getoptions(options, 'heuristic', []); + +d = nb_dims(W); + +if (d==4 && size(W,3)==2 && size(W,4)==2) || (d==4 && size(W,4)==6) || (d==5 && size(W,4)==3 && size(W,5)==3) + % anisotropic fast marching + if d==4 && size(W,3)==2 && size(W,4)==2 + % 2D vector field -> 3D field + W1 = zeros(size(W,1), size(W,2), 3, 3); + W1(:,:,1:2,1:2) = W; + W1(:,:,3,3) = 1; + W = reshape(W1, [size(W,1) size(W,2), 1 3 3]); + % convert to correct size + W = cat(4, W(:,:,:,1,1), W(:,:,:,1,2), W(:,:,:,1,3), W(:,:,:,2,2), W(:,:,:,2,3), W(:,:,:,3,3) ); + end + if d==5 + % convert to correct size + W = cat(4, W(:,:,:,1,1), W(:,:,:,1,2), W(:,:,:,1,3), W(:,:,:,2,2), W(:,:,:,2,3), W(:,:,:,3,3) ); + end + + if size(start_points,1)==2 + start_points(end+1,:) = 1; + end + if size(start_points,1)~=3 + error('start_points should be of size (3,n)'); + end + + % padd to avoid boundary problem + W = cat(1, W(1,:,:,:), W, W(end,:,:,:)); + W = cat(2, W(:,1,:,:), W, W(:,end,:,:)); + W = cat(3, W(:,:,1,:), W, W(:,:,end,:)); + +% if isempty(L) + L = ones(size(W,1), size(W,2), size(W,3)); + % end + +% start_points = start_points-1; + alpha = 0; + D = perform_front_propagation_anisotropic(W, L, alpha, start_points); + + % remove boundary problems + D = D(2:end-1,2:end-1,2:end-1); + S = []; Q = []; + return; +end + + +if d~=2 && d~=3 + error('Works only in 2D and 3D.'); +end +if size(start_points,1)~=d + error('start_points should be (d,k) dimensional with k=2 or 3.'); +end + +L(L==-Inf)=-1e9; +L(L==Inf)=1e9; +nb_iter_max = min(nb_iter_max, 1.2*max(size(W))^d); + +% use fast C-coded version if possible +if d==2 + if exist('perform_front_propagation_2d')~=0 + [D,S,Q] = perform_front_propagation_2d(W,start_points-1,end_points-1,nb_iter_max, H, L, values); + else + [D,S] = perform_front_propagation_2d_slow(W,start_points,end_points,nb_iter_max, H); + Q = []; + end +elseif d==3 + [D,S,Q] = perform_front_propagation_3d(W,start_points-1,end_points-1,nb_iter_max, H, L, values); +end +Q = Q+1; + +% replace C 'Inf' value (1e9) by Matlab Inf value. +D(D>1e8) = Inf; diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_fmstar_2d.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_fmstar_2d.m new file mode 100644 index 0000000..4d5f16b --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_fmstar_2d.m @@ -0,0 +1,86 @@ +function [D,S] = perform_fmstar_2d(W, start_points,end_points, options) + +% perform_fmstar_2d - launch the Fast Marching* algorithm. +% +% [D,S] = perform_fmstar_2d(W, start_points,end_points, options) +% +% 'W' is the weight matrix (the highest, the slowest the front will move). +% 'start_points' is a 2 x k array, start_points(:,i) is the ith starting point . +% 'end_points' is a 2 x 1 array, it is the goal. +% +% 'options' is a structure that can contains the following fields: +% * 'heuristic': the value for the 'distance to goal' heuristic +% (should be of the same size as W) +% * 'heuristic_type': if you do not provide explicitly the heuristic, +% it can be computed automatically, and the way to compute +% it are set by 'heuristic_type' (either 'multiresolution' +% or 'landmarks') +% 'reduc_factor' is the reduction factor for the coarse scale +% computation (eg. 0.5 will perform the heuristic computation +% on a grid of half size). +% +% Copyright (c) 2004 Gabriel Peyré + +options.null = 0; +if isfield(options, 'weight') + weight = options.weight; +else + weight = 0.6; +end + +if isfield(options, 'propagation_type') + propagation_type = options.propagation_type; +else + propagation_type = 'normal'; +end +if strcmp(propagation_type, 'circular') + if isfield(options, 'center_point') + center_point = options.center_point; + else + warning('For circula mode, you must provide options.center_point: switching to normal mode.'); + propagation_type = 'normal'; + end +end + +if isfield(options, 'heuristic') + H = options.heuristic; +else + if isfield(options, 'heuristic_type') + heuristic_type = options.heuristic_type; + else + heuristic_type = 'multiresolution'; + end + switch lower(heuristic_type) + case 'multiresolution' + H = compute_heuristic_multiresolution( W, end_points, options ); + case 'landmark' + if isfield( options, 'distance_to_landmarks' ) + DL = options.distance_to_landmarks; + elseif isfield( options, 'landmarks' ) + landmarks = options.landmarks; + nbr_landmarks = size(nbr_landmarks, 2); + % compute distance to landmark points + DL = zeros(n,n,nbr_landmarks); + opt.nb_iter_max = Inf; opt.Tmax = sum(size(W)); + for i=1:nbr_landmarks + [DL(:,:,i),S] = perform_fast_marching(W, landmarks(:,i), opt); + end + else + error('For landmark heuristic, you should provide either the landmark points or the distance to them.'); + end + H = compute_heuristic_landmark( DL, end_points ); + otherwise + error('Unkwnown heuristic_type.'); + end +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% compute the full FM +clear options; +options.nb_iter_max = Inf; +options.end_points = end_points; +if strcmp(propagation_type, 'normal') + [D,S] = perform_fast_marching(W, start_points, options, H*weight); +else + [D,S] = perform_circular_fast_marching_2d(W, start_points, center_point, options, H*weight); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_fmstar_3d.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_fmstar_3d.m new file mode 100644 index 0000000..8b76f64 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_fmstar_3d.m @@ -0,0 +1,55 @@ +function [D,S] = perform_fmstar_3d(W, start_points,end_points, options) + +% perform_fmstar_3d - launch the Fast Marching* algorithm in 3D. +% +% [D,S] = perform_fmstar_2d(W, start_points,end_points, options) +% +% 'W' is the 3D weight matrix (the highest, the slowest the front will move). +% 'start_points' is a 3 x k array, start_points(:,i) is the ith starting point . +% 'end_points' is a 3 x 1 array, it is the goal. +% +% 'reduc_factor' is the reduction factor for the coarse scale +% computation (eg. 0.5 will perform the heuristic computation +% on a grid of half size). +% +% Copyright (c) 2004 Gabriel Peyré + +options.null = 0; +if isfield(options, 'weight') + weight = options.weight; +else + weight = 0.6; +end +if isfield(options, 'reduc_factor') + reduc_factor = options.reduc_factor; +else + reduc_factor = 0.3; +end + +if reduc_factor~=1 + Ws = image_3d_resize(W,round(size(W)*reduc_factor)); +else + Ws = W; +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% compute the heuristic map +clear options; +options.nb_iter_max = 10000000; +start_points_small = round( end_points*reduc_factor ); +[Hs,S] = perform_fast_marching(Ws, start_points_small, options); +% extrapolate the heuristic +if reduc_factor~=1 + H = image_3d_resize(Hs,size(W)); +else + H = Hs; +end + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% compute the full FM +clear options; +options.nb_iter_max = 10000000; +options.end_points = end_points; +[D,S] = perform_fast_marching(W, start_points, options, H*weight); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_front_propagation_2d.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_front_propagation_2d.m new file mode 100644 index 0000000..e94b666 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_front_propagation_2d.m @@ -0,0 +1,12 @@ +% [D,S] = perform_front_propagation_2d(W,start_points,end_points,nb_iter_max,H); +% +% 'D' is a 2D array containing the value of the distance function to seed. +% 'S' is a 2D array containing the state of each point : +% -1 : dead, distance have been computed. +% 0 : open, distance is being computed but not set. +% 1 : far, distance not already computed. +% 'W' is the weight matrix (inverse of the speed). +% 'start_points' is a 2 x num_start_points matrix where k is the number of starting points. +% 'H' is an heuristic (distance that remains to goal). This is a 2D matrix. +% +% Copyright (c) 2004 Gabriel Peyré \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_front_propagation_2d_slow.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_front_propagation_2d_slow.m new file mode 100644 index 0000000..041c71d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_front_propagation_2d_slow.m @@ -0,0 +1,199 @@ +function [D,S,father] = perform_front_propagation_2d_slow(W,start_points,end_points,nb_iter_max,H) + +% [D,S] = perform_front_propagation_2d_slow(W,start_points,end_points,nb_iter_max,H); +% +% [The mex function is perform_front_propagation_2d] +% +% 'D' is a 2D array containing the value of the distance function to seed. +% 'S' is a 2D array containing the state of each point : +% -1 : dead, distance have been computed. +% 0 : open, distance is being computed but not set. +% 1 : far, distance not already computed. +% 'W' is the weight matrix (inverse of the speed). +% 'start_points' is a 2 x num_start_points matrix where k is the number of starting points. +% 'H' is an heuristic (distance that remains to goal). This is a 2D matrix. +% +% Copyright (c) 2004 Gabriel Peyré + +data.D = W.*0 + Inf; % action +start_ind = sub2ind(size(W), start_points(1,:), start_points(2,:)); +data.D( start_ind ) = 0; +data.O = start_points; +% S=1 : far, S=0 : open, S=-1 : close +data.S = ones(size(W)); +data.S( start_ind ) = 0; +data.W = W; +data.father = zeros( [size(W),2] ); + +verbose = 1; + +if nargin<3 + end_points = []; +end +if nargin<4 + nb_iter_max = round( 1.2*size(W,1)^2 ); +end +if nargin<5 + data.H = W.*0; +else + data.H = H; +end + +if ~isempty(end_points) + end_ind = sub2ind(size(W), end_points(1,:), end_points(2,:)); +else + end_ind = []; +end + +str = 'Performing Fast Marching algorithm.'; +if verbose + h = waitbar(0,str); +end + +i = 0; +while i0 && jj>0 && ii<=n && jj<=p + + f = [0 0]; % current father + + %%% update the action using Upwind resolution + P = h/W(ii,jj); + % neighbors values + a1 = Inf; + if ii1 && D( ii-1,jj )1 && D( ii,jj-1 )a2 % swap to reorder + tmp = a1; a1 = a2; a2 = tmp; + f = f([2 1]); + end + % now the equation is (a-a1)^2+(a-a2)^2 = P, with a >= a2 >= a1. + if P^2 > (a2-a1)^2 + delta = 2*P^2-(a2-a1)^2; + A1 = (a1+a2+sqrt(delta))/2; + else + A1 = a1 + P; + f(2) = 0; + end + + switch S(ii,jj) + case kClose + % check if action has change. Should not appen for FM + if A1size(vertex,2) + vertex = vertex'; +end +if size(faces,1)>size(faces,2) + faces = faces'; +end + +niter_lloyd = getoptions(options, 'niter_lloyd', 1); +if niter_lloyd>1 + for i=1:niter_lloyd + start_points = perform_lloyd_mesh(vertex,faces, start_points, options) + options.lambda = []; % enfore recomputing + end + return; +end + +lambda = getoptions(options, 'lambda', []); +edges_id = getoptions(options, 'edges_id', []); +Q = getoptions(options, 'Q', []); +if isempty(lambda) || isempty(edges_id) || isempty(Q) + % update voronoi + [Q,DQ, ve, edges_id, lambda] = compute_voronoi_mesh(vertex,faces, start_points, options); +end + +% compute distances for start +ne = length(lambda); +n = size(vertex,2); +% compute edge length +d = diff( reshape(vertex(:,edges_id'), [3 ne 2]), 1, 3 ); +d = sqrt( sum(d.^2,1) ); +d1 = (1-lambda).*d; +d2 = lambda.*d; +% compute initial values for FM +values = zeros(n,1); cnt = zeros(n,1); +for i=1:ne + values(edges_id(1,i)) = values(edges_id(1,i)) + d1(i); + cnt(edges_id(1,i)) = cnt(edges_id(1,i)) + 1; + values(edges_id(2,i)) = values(edges_id(2,i)) + d1(i); + cnt(edges_id(2,i)) = cnt(edges_id(2,i)) + 1; +end +values = values./cnt; +% perform FM from edge points +pts = unique( edges_id(:) ); +options.values = values(pts); +options.values = []; +D = perform_fast_marching_mesh(vertex, faces, pts, options); + +% seed new locations +nstart = length(start_points); +for i=1:nstart + I = find(Q(:,1)==i); + [v,k] = max(D(I)); + start_points(i) = I(k); +end +start_points = start_points(:); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_redistancing.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_redistancing.m new file mode 100644 index 0000000..50a0440 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/perform_redistancing.m @@ -0,0 +1,57 @@ +function D1 = perform_redistancing(D, options) + +% perform_redistancing - redistance a function +% +% D1 = perform_redistancing(D, options); +% +% Compute a signed distance function D1 that have the same 0 level set as D. +% You can turn off interpolation by using options.use_interpolation=0. +% +% Note that the distance function is computed with 1 pixel = distance of +% 1, so the overall image range over a 1...n=size(D,1) +% +% Copyright (c) 2007 Gabriel Peyre + +options.null = 0; +use_interpolation = getoptions(options, 'use_interpolation', 1); + +n = size(D,1); + +% horizontal +P1 = D(1:end-1,:); P2 = D(2:end,:); +P = (P1.*P2)<0; +d = abs(P1-P2); d(d0; +Vh = max([v1; zeros(1,n)], [zeros(1,n); v2]); +% vertical +P1 = D(:,1:end-1); P2 = D(:,2:end); +P = (P1.*P2)<0; +d = abs(P1-P2); d(d0; +Vv = max([v1, zeros(n,1)],[zeros(n,1), v2]); + +V = zeros(n); +I = find(Ah>0); +V(I) = Vh(I); +I = find(Av>0); +V(I) = max(V(I),Vv(I)); + +I = find(V~=0); +[x,y] = ind2sub(size(D),I); +start_points = [x(:)'; y(:)']; +vals = V(I); + +% with interpolation +options.nb_iter_max = Inf; +if use_interpolation + options.values = vals/n; +else + options.values = []; +end +D1 = perform_fast_marching(ones(n), start_points, options); +D1 = D1*n; +D1(D<0) = -D1(D<0); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/pick_curves.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/pick_curves.m new file mode 100644 index 0000000..8db1ea7 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/pick_curves.m @@ -0,0 +1,40 @@ +function sk = pick_curves(mask) + +% pick_curves - ask for the user to build a set of curves +% +% sk = pick_curves(mask); +% +% mask is a background image (should be in [0,1] approx). +% +% The user right-click on a set of point which create a curve. +% Left click stop a curve. +% Another left click stop the process. +% +% Copyright (c) 2007 Gabriel Peyr? + + +n = size(mask,1); + +sk = zeros(n); + +b = 1; +while b(end)==1 + % draw a line + clf; + imagesc(mask+sk); axis image; axis off; + colormap gray(256); + [y1,x1,b] = ginput(1); + while b==1 + clf; + imagesc(mask+sk); axis image; axis off; + [y2,x2,c] = ginput(1); + if c~=1 + break; + end + t = linspace(0,1,1000); + x = round( x1*t+x2*(1-t) ); + y = round( y1*t+y2*(1-t) ); + sk( x+(y-1)*n ) = 1; + x1 = x2; y1 = y2; + end +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/pick_start_end_point.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/pick_start_end_point.m new file mode 100644 index 0000000..c130de8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/pick_start_end_point.m @@ -0,0 +1,65 @@ +function [start_point,end_point,center_point] = pick_start_end_point(M, no_end_point, do_rounding) + +% pick_start_end_point - pick start/end points for front propagation. +% +% [start_point,end_point,center_point] = pick_start_end_point(M); +% +% Copyright (c) 2005 Gabriel Peyré + +if nargin<2 + no_end_point = 0; +end +if nargin<3 + do_rounding = 1; +end + +clf; +hold on; +if ~isempty(M) +imagesc(M'); +axis image; +axis off; +colormap gray(256); +end + +m = size(M); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% pick center point +if nargout>2 + disp('Pick center point.'); + center_point = round( ginput(1) )'; + plot( [center_point(1),m(1)], [center_point(2) center_point(2)] ); + plot( center_point(1), center_point(2), 'ro' ); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% pick starting point +disp('Pick starting point.'); +start_point = ginput(1)'; +if do_rounding + start_point = round(start_point); +end +if nargout>2 + start_point(2) = center_point(2); % project +end +plot( start_point(1), start_point(2), 'rx' ); + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% pick ending point +if nargout>1 + if no_end_point + end_point = start_point; + end_point(2) = end_point(2)-3; + else + disp('Pick end point.'); + end_point = ginput(1)'; + if do_rounding + end_point = round(end_point); + end + plot( end_point(1), end_point(2), 'rs' ); + end +end + +hold off; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/plot_constrained_path_planing.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/plot_constrained_path_planing.m new file mode 100644 index 0000000..fc0189d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/plot_constrained_path_planing.m @@ -0,0 +1,57 @@ +function plot_constrained_path_planing(M,path,obj,nb_s,options) + +% plot_constrained_path_planing - plot the result of the fast marching. +% +% plot_constrained_path_planing(M,path,obj); +% +% Copyright (c) 2004 Gabriel Peyré + +options.null = 1; +if nargin<4 + nb_s = 20; +end +if isfield(options, 'box_width') + box_width = options.box_width; +else + box_width = 2; +end + +n = size(M,1); + + +hold on; +imagesc(1-M'); +colormap gray; +axis image; +axis square; +set(gca,'box','on'); +if nargin>=3 +% plot(path(:,1), path(:,2), '-'); +end + +% resample the path evenly +path1 = perform_curve_resampling(path, nb_s, 'nbpts')'; + +% plot tiny red boxes +for i=1:size(path1,1) + plot_box( path1(i,1:2), obj*n, path1(i,3), 'r', box_width ); +end + +set(gca, 'XTick', []); +set(gca, 'YTick', []); +set(gca,'box','on'); +hold off; + +function plot_box(c,obj,theta, str, box_width) + +v = [cos(theta),sin(theta)]*obj(1)/2; +w = [-sin(theta),cos(theta)]*obj(2)/2; +plot_line( c+v+w, c-v+w, str, box_width ); +plot_line( c-v+w, c-v-w, str, box_width ); +plot_line( c-v-w, c+v-w, str, box_width ); +plot_line( c+v-w, c+v+w, str, box_width ); + +function plot_line(a,b, str, box_width) + +h = line([a(1) b(1)], [a(2) b(2)], 'LineWidth', box_width); +set(h,'Color','r'); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/plot_fast_marching_2d.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/plot_fast_marching_2d.m new file mode 100644 index 0000000..e165544 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/plot_fast_marching_2d.m @@ -0,0 +1,99 @@ +function plot_fast_marching_2d(W,S,path,start_points,end_points, options) + +% plot_fast_marching_2d - plot the result of the fast marching. +% +% plot_fast_marching_2d(W,S,path,start_points,end_points, options); +% +% Copyright (c) 2004 Gabriel Peyré + + +n = size(W,1); + +options.null = 0; + +path_width = getoptions(options, 'path_width', 3); +point_size = getoptions(options, 'point_size', 12); + + +if isfield(options, 'start_point_style') + start_point_style = options.start_point_style; +else + start_point_style = 'rx'; +end +if isfield(options, 'end_point_style') + end_point_style = options.end_point_style; +else + end_point_style = 'k*'; +end + +if ~iscell(end_point_style) + end_point_style = {end_point_style, 'k.'}; +end +if ~iscell(point_size) + point_size = {point_size, 20}; +end + +if size(W,3)==1 + Z = repmat(W',[1,1,3]); +else + Z = permute(W,[2 1 3]); +end +S1 = repmat(S',[1,1,3]); +S1(:,:,1) = Inf; +open_list = find( S1==0 ); +close_list = find( S1==-1 ); + +set(gca,'box','on'); + +hold on; +% Z(open_list) = 0; +Z(close_list) = 0; +imagesc( rescale(Z) ); +axis image; +axis off; + +c_list = perform_curve_extraction(S,0); +for k=1:length(c_list); + c_list{k} = c_list{k}*(n-1)+1; +end +for i=1:length(c_list) + plot(c_list{i}(1,:), c_list{i}(2,:), 'r-', 'LineWidth', 2); +end + +if nargin>=3 + if ~iscell(path) + path = {path}; + end + for i=1:length(path) + p = path{i}; + if size(p,1)>size(p,2) + p = p'; + end + plot(p(1,:), p(2,:), '-', 'LineWidth', path_width); + end +end + +% axis square; +if nargin>=4 & ~isempty(start_points) + if size(start_points,1)~=2 + start_points = start_points'; + end + if size(start_points,1)~=2 + error('start_points must be of size 2xk'); + end + for i=1:size(start_points,2) + plot(start_points(1,i), start_points(2,i), start_point_style, 'MarkerSize', point_size{1}); + end +end +if nargin>=5 & ~isempty(end_points) + if size(end_points,1)~=2 + end_points = end_points'; + end + if size(end_points,1)~=2 + error('end_points must be of size 2xk'); + end + for i=1:size(end_points,2) + plot(end_points(1,i), end_points(2,i), end_point_style{1 + (i>1)}, 'MarkerSize', point_size{1 + (i>1)}); + end +end +hold off; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/plot_fast_marching_3d.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/plot_fast_marching_3d.m new file mode 100644 index 0000000..71e1105 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/plot_fast_marching_3d.m @@ -0,0 +1,118 @@ +function plot_fast_marching_3d(W,S,path,start_points,end_points, options) + +% plot_fast_marching_3d - plot the result of the fast marching. +% +% plot_fast_marching_3d(W,S,path [,start_points,end_points, options] ); +% +% If you provide W, path is assumed to lie in [1,n]^3 where n=length(W). +% Path can be a cell array of 3D curves or a single 3D curve. +% +% Copyright (c) 2004 Gabriel Peyré + +options.null = 0; +if isfield(options, 'plot_isosurface') + plot_isosurface = options.plot_isosurface; +else + plot_isosurface = 1; +end +if isfield(options, 'plot_planes') + plot_planes = options.plot_planes; +else + plot_planes = 1; +end +if isfield(options, 'path_width') + path_width = options.path_width; +else + path_width = 5; +end +if isfield(options, 'point_size') + point_size = options.point_size; +else + point_size = 16; +end + + +[n,p,q] = size(W); + +hold on; + +if ~isempty(W) && plot_planes + if 0 + open_list = find( S==0 ); + close_list = find( S==-1 ); + W(open_list) = 0; + W(close_list) = W(close_list) - 0.2; + end + plot_volumetric_data(W); +end + +if nargin>=4 && ~isempty(start_points) + if size(start_points,1)~=3 + start_points = start_points'; + end + if size(start_points,1)~=3 + error('start_points must be of size 3xk'); + end +% start_points = (start_points-1)/(n-1); + start_points = shift_array(start_points); + h = plot3(start_points(1), start_points(2), start_points(3), 'o', 'MarkerSize', point_size, ... + 'MarkerEdgeColor','k', 'MarkerFaceColor','b'); +end + +if nargin>=5 && ~isempty(end_points) + if size(end_points,1)~=3 + start_points = start_points'; + end + if size(end_points,1)~=3 + error('start_points must be of size 2xk'); + end + end_points = shift_array(end_points); +% end_points = (end_points-1)/(n-1); + plot3(end_points(1), end_points(2), end_points(3), 'o', 'MarkerSize', point_size, ... + 'MarkerEdgeColor','k', 'MarkerFaceColor','r'); +end + +if nargin>=3 && ~isempty(path) + if ~iscell(path) + path = {path}; + end + for i=1:length(path) + path1 = path{i}; + if size(path1,2)~=3 + path1 = path1'; + end + path1 = shift_array(path1); + plot3(path1(:,1), path1(:,2), path1(:,3), '-', 'LineWidth', path_width); + end +end + +if plot_isosurface + S = smooth3(S,'gaussian',5,1); + F = isosurface( S,0.5 ); + p = patch(F); + isonormals( S,p ); + set(p, 'FaceColor', 'red', 'EdgeColor', 'none'); +end + +box on; +set(gca, 'XTick', []); +set(gca, 'YTick', []); +set(gca, 'ZTick', []); +lighting phong; +alpha(0.7); +camproj('perspective'); +view(3); +axis equal; +axis([1 size(W,1) 1 size(W,2) 1 size(W,3)]); +daspect([1 1 1]); +% cameramenu; +camlight; + +hold off; + +function path1 = shift_array(path) +if( size(path, 2)==1 ) + path1 = path( [2:-1:1 end] ); +else + path1 = path( :, [2:-1:1 end] ); +end diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/plot_fast_marching_mesh.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/plot_fast_marching_mesh.m new file mode 100644 index 0000000..3adac3c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/plot_fast_marching_mesh.m @@ -0,0 +1,78 @@ +function plot_fast_marching_mesh(vertex,faces, D, paths, options) + +% plot_fast_marching_mesh - plot the result of the fast marching on a mesh. +% +% plot_fast_marching_mesh(vertex,faces, D, paths, options); +% +% paths can be a cell array of path (to display multiple geodesics). +% paths should be computed with compute_geodesic_mesh. +% +% options.voronoi_edges is a list of voronoi edges computed with +% compute_voronoi_mesh. +% +% See also perform_fast_marching_mesh, compute_geodesic_mesh, compute_voronoi_mesh. +% +% You can force color equalization using options.colorfx = 'equalize' +% options.start_points is a set of start points (in red), for instance the center of geodesic cells. +% +% Copyright (c) 2007 Gabriel Peyre + +options.null = 0; +if not(iscell(paths)) + paths = {paths}; +end + +col = D; +col(col==Inf) = 0; + +start_points = getoptions(options, 'start_points', []); +ve = getoptions(options, 'voronoi_edges', []); +ms = getoptions(options, 'ms', 25); +lw = getoptions(options, 'lw', 3); + +colorfx = getoptions(options, 'colorfx', 'none'); +if strcmp(colorfx, 'wrapping') + num = 20; + col = rescale(col); + col = mod(col*num,2); col(col>1) = 2-col(col>1); +end +if strcmp(colorfx, 'equalize') + col = perform_histogram_equalization(col, linspace(0,1,length(col))); +end + +options.face_vertex_color = col; +clf; +hold on; +plot_mesh(vertex, faces, options); +for i=1:length(paths) + path = paths{i}; + if not(isempty(path)) + end_point = path(:,1); + start_point = path(:,end); + % display starting points + h = plot3( start_point(1),start_point(2), start_point(3), 'r.'); + set(h, 'MarkerSize', ms); + % display endding points + h = plot3( end_point(1), end_point(2), end_point(3), 'b.'); + set(h, 'MarkerSize', ms); + % display geodesic + h = plot3(path(1,:), path(2,:),path(3,:), 'k'); + set(h,'LineWidth', lw); + end +end +% display starting points +for i=1:length(start_points) + start_point = vertex(:,start_points(i)); + h = plot3( start_point(1),start_point(2), start_point(3), 'r.'); + set(h, 'MarkerSize', ms); +end +% display voronoi +for i=1:size(ve,2) + h = plot3( [ve(1,i) ve(4,i)], ... + [ve(2,i) ve(5,i)], ... + [ve(3,i) ve(6,i)], 'r'); + set(h, 'LineWidth', lw); +end +hold off; +colormap jet(256); +camlight; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/plot_volumetric_data.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/plot_volumetric_data.m new file mode 100644 index 0000000..d48d811 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/plot_volumetric_data.m @@ -0,0 +1,32 @@ +function plot_volumetric_data(W, nb_colors) + +% plot_volumetric_data - plot a cube of data. +% +% plot_volumetric_data(W, nb_colors); +% +% Copyright (c) 2005 Gabriel Peyré + +if nargin<2 + nb_colors = 256; +end + +[n,p,q] = size(W); +h = slice(W,p/2,n/2,q/2); +set(h,'FaceColor','interp','EdgeColor','none'); + +box on; +set(gca, 'XTick', []); +set(gca, 'YTick', []); +set(gca, 'ZTick', []); + +colormap( jet(nb_colors) ); + +lighting phong; +camlight infinite; +camproj('perspective'); + + +view(3); +axis tight; +axis equal; +% cameramenu; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/publish_html.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/publish_html.m new file mode 100644 index 0000000..9cba743 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/publish_html.m @@ -0,0 +1,25 @@ +function publish_html(filename, outputDir, stylesheet) + +% publish_html - publish a file to HTML format +% +% publish_html(filename, outputDir, stylesheet); +% +% Copyright (c) 2008 Gabriel Peyre + +if nargin<1 + filename = 'content'; +end +if nargin<2 + outputDir = 'html'; +end +if nargin<3 + stylesheet = [outputDir '/gpeyre.xsl']; +end + +opts.outputDir = outputDir; +if not(isempty(stylesheet)) + opts.stylesheet = stylesheet; +end +file = publish(filename,opts); + +web(file); diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/readme b/matlab/external/gptoolbox/external/toolbox_fast_marching/readme new file mode 100644 index 0000000..3be6e22 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/readme @@ -0,0 +1,72 @@ +WARNING: you have to add the files under toolbox/ in your Matlab path. + +The Fast Marching algorithm, introduced by Sethian (1996) is a +numerical algorithm that is able to catch the viscosity solution +of the Eikonal equation |grad(D)|=P. The level set {x \ F(x)=t} +can be seen as a front advancing with speed P(x). + +The resulting function D is a distance function, and if the speed +P is constant, it can be seen as the distance function to a set +of starting points. + +The Fast Marching is very similar to the Dijkstra algorithm that +finds shortest paths on graphs. Using a gradient descent of the +distance function D, one is able to extract a good approximation +of the shortest path (geodesic) in various settings (euclidean for +P constant, and a weighted riemanian manifold with P varying). + +The main reference about the Fast Marching algorithm is the book + Level Set Methods and Fast Marching Methods Evolving Interfaces + in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science + J.A. Sethian, Cambridge University Press, 1999 + Cambridge Monograph on Applied and Computational Mathematics + +A good review of the Fast Marching in 3D together with some applications +can be found in + Fast extraction of minimal paths in 3D images and application to virtual endoscopy. + T.Deschamps and L.D. Cohen. + September 2000. To appear in Medical Image Analysis. + +Basic features: +* The functions 'perform_fast_marching_2d' and 'perform_fast_marching_3d' + compute the distance function from a set of starting points. +* To extract the geodesics between these starting points and an + ending point, you can use 'extract_path_2d' and 'extract_path_3d'. +* There are also test applications 'test_fast_marching_2d' + and 'test_fast_marching_3d' so that you can easily + understand the use of the functions. + +Additional features: +* Circular path extraction : a callback function can be passed + to the C++ function 'perform_front_propagation_2d' to prevent + the front to passing though some area. The function + 'perform_circular_fast_marching_2d' implement a simple trick, + by prenventing the front to pass through an horizontal half line, + which in turn enable the extraction of circular paths. + The function 'test_circular_fast_marching_2d' shows + an application of this to cell segmentation. + For more information you can read the original paper: + Appleton, B., Talbot, H., + Globally Optimal Geodesic Active Contours, + Journal of Mathematical Imaging and Vision, to appear. +* Constraint path planing : the script 'test_path_planing' + shows the application of 3D fast marching to the extraction + of optimal path for a tiny rectangle. + The function 'generate_constrained_map' generate the 3D speed + function for a given 2D map (the 2D speed function that + should be used if the object to move was a point). + For more information see: + http://math.berkeley.edu/~sethian/Movies/Movierobotics.html + and read + Kimmel, R., and Sethian, J.A., + Fast Marching Methods for Robotic Navigation with Constraints + Center for Pure and Applied Mathematics Report, + Univ. of California, Berkeley, May 1996 + +The main computation are done in a mex file so it is very fast +(using a Fibonacci heap structure). To compile the mex files, +simply run 'compile_mex'. This should be ok if you have +set some C++ compiler (use 'mex -setup'). +Precompiled version (.dll) for Windows are provided. + +Copyright (c) 2004 Gabriel Peyré \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/skeleton.dll b/matlab/external/gptoolbox/external/toolbox_fast_marching/skeleton.dll new file mode 100644 index 0000000..b790ea9 Binary files /dev/null and b/matlab/external/gptoolbox/external/toolbox_fast_marching/skeleton.dll differ diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/all-wcprops b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/all-wcprops new file mode 100644 index 0000000..acbbb23 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/all-wcprops @@ -0,0 +1,275 @@ +K 25 +svn:wc:ra_dav:version-url +V 71 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests +END +test_eccentricity.m +K 25 +svn:wc:ra_dav:version-url +V 91 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_eccentricity.m +END +test_landmark.m +K 25 +svn:wc:ra_dav:version-url +V 87 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_landmark.m +END +test_anisotropic.m +K 25 +svn:wc:ra_dav:version-url +V 90 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_anisotropic.m +END +test_fast_marching_3d.m +K 25 +svn:wc:ra_dav:version-url +V 95 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_fast_marching_3d.m +END +test_voronoi_triangulation.m +K 25 +svn:wc:ra_dav:version-url +V 100 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_voronoi_triangulation.m +END +test_farthest_sampling_2d.m +K 25 +svn:wc:ra_dav:version-url +V 99 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_farthest_sampling_2d.m +END +test_propagation_mesh.m +K 25 +svn:wc:ra_dav:version-url +V 95 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_propagation_mesh.m +END +test_anisotropic_feth.m +K 25 +svn:wc:ra_dav:version-url +V 95 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_anisotropic_feth.m +END +test_landmark_error.m +K 25 +svn:wc:ra_dav:version-url +V 93 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_landmark_error.m +END +test_geodesic_vs_euclidean.m +K 25 +svn:wc:ra_dav:version-url +V 100 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_geodesic_vs_euclidean.m +END +test_bending_invariants.m +K 25 +svn:wc:ra_dav:version-url +V 97 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_bending_invariants.m +END +test_circular.m +K 25 +svn:wc:ra_dav:version-url +V 87 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_circular.m +END +test_distance_approximation.m +K 25 +svn:wc:ra_dav:version-url +V 101 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_distance_approximation.m +END +test_heuristic_mesh.m +K 25 +svn:wc:ra_dav:version-url +V 93 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_heuristic_mesh.m +END +test_eucldist.m +K 25 +svn:wc:ra_dav:version-url +V 87 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_eucldist.m +END +test_bug.m +K 25 +svn:wc:ra_dav:version-url +V 82 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_bug.m +END +test_circular_prior.m +K 25 +svn:wc:ra_dav:version-url +V 93 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_circular_prior.m +END +test_fmstar_path_planing.m +K 25 +svn:wc:ra_dav:version-url +V 98 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_fmstar_path_planing.m +END +test_multiple_paths_3d.m +K 25 +svn:wc:ra_dav:version-url +V 96 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_multiple_paths_3d.m +END +test_fmstar_2d.m +K 25 +svn:wc:ra_dav:version-url +V 88 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_fmstar_2d.m +END +test_farthest_sampling_mesh.m +K 25 +svn:wc:ra_dav:version-url +V 101 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_farthest_sampling_mesh.m +END +test_vol3d.m +K 25 +svn:wc:ra_dav:version-url +V 84 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_vol3d.m +END +test_fmstar_weight_2d.m +K 25 +svn:wc:ra_dav:version-url +V 95 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_fmstar_weight_2d.m +END +test_geodesic_interpolation.m +K 25 +svn:wc:ra_dav:version-url +V 101 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_geodesic_interpolation.m +END +test_fast_marching_2d.m +K 25 +svn:wc:ra_dav:version-url +V 95 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_fast_marching_2d.m +END +test_farthest_sampling_shape.m +K 25 +svn:wc:ra_dav:version-url +V 102 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_farthest_sampling_shape.m +END +test_segmentation.m +K 25 +svn:wc:ra_dav:version-url +V 91 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_segmentation.m +END +test_farthest_sampling_3d.m +K 25 +svn:wc:ra_dav:version-url +V 99 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_farthest_sampling_3d.m +END +test_propagation_shape.m +K 25 +svn:wc:ra_dav:version-url +V 96 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_propagation_shape.m +END +test_path_planing.m +K 25 +svn:wc:ra_dav:version-url +V 91 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_path_planing.m +END +test_fmstar_error.m +K 25 +svn:wc:ra_dav:version-url +V 91 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+/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_anisotropic_fm_old.m +END +test_redistancing.m +K 25 +svn:wc:ra_dav:version-url +V 91 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_redistancing.m +END +test_distance_compression.m +K 25 +svn:wc:ra_dav:version-url +V 99 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_distance_compression.m +END +test_anisotropic_fm.m +K 25 +svn:wc:ra_dav:version-url +V 93 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_anisotropic_fm.m +END +test_circular_fast_marching_2d.m +K 25 +svn:wc:ra_dav:version-url +V 104 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_circular_fast_marching_2d.m +END +test_multiple_paths_2d.m +K 25 +svn:wc:ra_dav:version-url +V 96 +/svnroot/matlabcompanion/!svn/ver/1/toolbox/toolbox_fast_marching/tests/test_multiple_paths_2d.m +END +test_fmstar_3d.m +K 25 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-0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_fmstar_error.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_fmstar_error.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_fmstar_error.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_fmstar_landmark.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_fmstar_landmark.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_fmstar_landmark.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_fmstar_path_planing.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_fmstar_path_planing.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_fmstar_path_planing.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_fmstar_weight_2d.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_fmstar_weight_2d.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_fmstar_weight_2d.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_influence.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_influence.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_influence.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_landmark.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_landmark.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_landmark.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_landmark_error.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_landmark_error.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_landmark_error.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_multiple_paths_2d.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_multiple_paths_2d.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_multiple_paths_2d.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_multiple_paths_3d.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_multiple_paths_3d.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_multiple_paths_3d.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_path_planing.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_path_planing.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_path_planing.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_propagation_2d.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_propagation_2d.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_propagation_2d.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_propagation_mesh.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_propagation_mesh.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_propagation_mesh.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_segmentation.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_segmentation.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/prop-base/test_segmentation.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_active_contour.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_active_contour.m.svn-base new file mode 100644 index 0000000..3fe15f7 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_active_contour.m.svn-base @@ -0,0 +1,89 @@ +% test for active contours +% +% Copyright (c) 2007 Gabriel Peyre + + +options.bound = 'per'; +n = 32; +d = ones(n); +d = rand(n); +d = repmat(d,[1 1 2]); +D = zeros(n^2); +for i=1:n^2 + a = zeros(n); a(i)=1; + a = divgrad(divgrad(a,options)./d,options); + D(:,i) = a(:); +end + +n = 150; + +path(path, 'data/'); +path(path, 'toolbox/'); + +motion = 'affine'; +motion = 'errosion'; +motion = 'chan-vese'; +motion = 'mean'; +motion = 'snake'; + +% load image for active contour +name = 'chan-vese'; +name = 'disk'; +name = 'brain'; +M = rescale( sum( load_image(name, n), 3) ); + + +options.solver = 'grad'; +options.solver = 'cg'; + +%% load original shape +options.null = 0; +if strcmp(motion, 'snake') + namec = 'square'; + options.width = 0.95*n; +elseif strcmp(motion, 'chan-vese') + namec = 'small-disks'; +else + namec = 'circlerect1'; + namec = 'square'; + namec = 'circlerect2'; +end +D0 = compute_levelset_shape(namec, n); + +options.center = [0.15 0.15]*n; +options.radius = 0.1*n; +D1 = compute_levelset_shape('circle', n,options); + + +%% set up the parameters +options.Tmax = 1000; +options.redistance_freq = 150; +options.M = M; +options.dt = 0.1; +options.dt = 3; +options.display_freq = 5; +options.nb_svg = 100; +if strcmp(motion, 'snake') + options.Tmax = 2000; + options.redistance_freq = 30; + options.dt = 1; + % compute edge-based energy + sigma = 4; % blurring size + G = divgrad( perform_blurring(M,sigma) ); + G = sum( G.^2, 3); + eta = 0.01; + E = 1 ./ (eta + G); + options.E = rescale(E, 0.7, 1); +elseif strcmp(motion, 'chan-vese') + options.redistance_freq = 30; + options.E = M; + options.lambda = 0.8; + options.update_c = 0; + options.c1 = 0; + options.c2 = 0.5; + options.dt = 0.2; + options.dt = 2; +end + + +D = perform_active_contour(D0, motion, options); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_anisotropic.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_anisotropic.m.svn-base new file mode 100644 index 0000000..bbff55b --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_anisotropic.m.svn-base @@ -0,0 +1,42 @@ +% test for anisotropic propagation in 2D + +name = 'fixed-2d'; +name = 'fixed-3d'; +name = 'varying-2d'; + +rep = 'results/anisotropic-remeshing/'; +if not(exist(rep)) + mkdir(rep); +end + +% spacially varying 2D field +n = 200; +% create 2D vector field +s = [n n 1]; +U = randn(n,n,2); +sigma = 30; +for it=1:10 + U = perform_vf_normalization( perform_blurring(U, sigma) ); +end +U = perform_vf_normalization( U ); + +% test for various degree of anisotropy +% aniso_list = [0.01 0.05 .1 .2 .5 1]; +aniso = .05; + +% 3D field +V = cat(3, -U(:,:,2), U(:,:,1)); % orthogonal vector +T = perform_tensor_recomp(U,V, ones(n),ones(n)*aniso ); +D = perform_fast_marching(T, start_points); + + +clf; +hold on; +options.sub = round(n/15); +options.color = 'k'; +plot_tensor_field(T1, D1, options); +h = plot(start_points(2,:),start_points(1,:), 'r.'); +set(h, 'MarkerSize', 20); +colormap jet(256); + +% saveas(gcf, [rep name '-aniso-' num2str(ianiso) '.png'], 'png'); diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_anisotropic_feth.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_anisotropic_feth.m.svn-base new file mode 100644 index 0000000..9f63039 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_anisotropic_feth.m.svn-base @@ -0,0 +1,60 @@ +% test for Fethalah code and Prados code +n = 500; + +rep = 'results/anisotropic-feth/'; +if not(exist(rep)) + mkdir(rep); +end + +%% compute random tensor field +randn('seed', 12345); +U = randn(n,n,2); +sigma = (n/200)*30; +options.bound = 'per'; +for it=1:10 + U = perform_vf_normalization( perform_blurring(U, sigma,options) ); +end +U = perform_vf_normalization( U ); + +aniso_list = [1 .5 .2 .1 .05 .01 .001]; + +p = 5; +x = round( n/(p*2):n/p:n-n/(p*2) ); +[Y,X] = meshgrid(x,x); +% start_points = round( start_points*(n-1)+1 ); +start_points = cat(1, X(:)', Y(:)'); + +s = randperm(size(start_points,2)); +for i=1:length(aniso_list) + + aniso = aniso_list(i); + V = cat(3, -U(:,:,2), U(:,:,1)); % orthogonal vector + T = perform_tensor_recomp(U,V, ones(n),ones(n)*aniso ); + Ti = perform_tensor_recomp(U,V, ones(n),ones(n)*1/aniso ); + + options.use_feth_code = 0; + tic; + [D,S,Q] = perform_fast_marching(T, start_points, options); + disp(['Prados: ' num2str(toc)]); + + hx = 1/n; hy = 1/n; + tic; + [D1,dUx,dUy, Vor, L] = fm2dAniso([hx;hy], Ti, start_points); + disp(['Feth: ' num2str(toc)]); + + imageplot(s(Q), 'Prados', 1,2,1); + imageplot(s(Vor+1), 'Feth', 1,2,2); + colormap jet(256); + saveas(gcf, [rep 'voronoi-' num2str(aniso) '.png'], 'png'); + + clf; + plot_tensor_field(T, perform_histogram_equalization(D, 'linear')); + colormap jet(256); + saveas(gcf, [rep 'distance-aniso-' num2str(aniso) '-prados.png'], 'png'); + + clf; + plot_tensor_field(T, perform_histogram_equalization(D1, 'linear')); + colormap jet(256); + saveas(gcf, [rep 'distance-' num2str(aniso) '-feth.png'], 'png'); + +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_anisotropic_fm.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_anisotropic_fm.m.svn-base new file mode 100644 index 0000000..f6c1fec --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_anisotropic_fm.m.svn-base @@ -0,0 +1,220 @@ +% test for a simple anisotropic metric +%name = 'fixed-2d'; +%name = 'fixed-3d'; +name = 'varying-2d'; + +rep = 'results/anisotropic-fm/'; +if not(exist(rep)) + mkdir(rep); +end + +% create the main direction of the field +switch name + case 'fixed-3d' % Fixed 3D tensor field + n = 20; + s = [n n n]; % size + % main direction of the tensor + u = [1 .1 .1]; + U = repmat( reshape(u,1,1,1,3),[n n n 1] ); + case 'fixed-2d' % Fixed 2D tensor field + n = 40; + s = [n n 1]; + % main direction of the tensor + u = [1 .1]; + U = repmat( reshape(u,1,1,2),[n n 1] ); + case 'varying-2d' % spacially varying 2D field + n = 200; + % create 2D vector field + s = [n n 1]; + randn('seed', 12345); + U = randn(n,n,2); + sigma = (n/200)*30; + options.bound = 'per'; + for it=1:10 + U = perform_vf_normalization( perform_blurring(U, sigma,options) ); + end + +end +U = perform_vf_normalization( U ); + +if exist('perform_lic') && size(U,4)==1 + % compute a cool 2D lic texture + options.isoriented = 0; + M0 = perform_blurring(randn(n),0); + M0 = perform_histogram_equalization( M0, 'linear'); + options.histogram = 'linear'; + options.dt = 0.8; options.M0 = M0; + options.verb = 1; options.flow_correction = 1; + options.niter_lic = 1; + w = 15; + w = 30; + M = perform_lic(U, w, options); + warning off; + imwrite( rescale(M), [rep name '-texture.png'], 'png' ); + warning on; +else + M = U; % background image +end + +% test for various degree of anisotropy +aniso_list = [.01 .05 .1 .2 .5 1]; + + +%% test for progressive propagation +aniso = .01; +V = cat(3, -U(:,:,2), U(:,:,1)); % orthogonal vector +T = perform_tensor_recomp(U,V, ones(n),ones(n)*aniso ); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% one starting point and many geodesics on the boundary +start_points = [n;n]/2; +% end points on the boundary +t = 1:n; +x = [t t*0+n t(end-1:-1:1) t*0+1]; +y = [t*0+1 t t*0+n t(end-1:-1:1)]; +npaths = 50; +s = round(linspace( 1,length(x), npaths+1) ); s(end) = []; +end_points = cat(1, x(s),y(s)); + +ms = 30; lw = 3; % display params +for ianiso = 1:length(aniso_list) + + % build the tensor field + aniso = aniso_list(ianiso); + V = cat(3, -U(:,:,2), U(:,:,1)); % orthogonal vector + T = perform_tensor_recomp(U,V, ones(n),ones(n)*aniso ); + % propagation + [D,S,Q] = perform_fast_marching(T, start_points); + % for sexy display + D1 = perform_histogram_equalization(D, linspace(0,1,n^2)); + % extract tons of geodesics + for i=1:npaths + paths{i} = compute_geodesic(D,end_points(:,i), options); + end + % display + clf; hold on; + imageplot(D1); axis image; axis off; colormap jet(256); + for i=1:npaths + end_point = end_points(:,i); + h = plot( paths{i}(2,:), paths{i}(1,:), 'k' ); + set(h, 'LineWidth', lw); + h = plot(end_point(2),end_point(1), '.b'); + set(h, 'MarkerSize', ms); + end + h = plot(start_points(2),start_points(1), '.r'); + set(h, 'MarkerSize', ms); + hold off; + colormap jet(256); + axis ij; + saveas(gcf, [rep name '-geodesics-' num2str(ianiso) '.png'], 'png'); + +end + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% many starting point and Voronoi diagrams +p = 3; +x = n/(p*2):n/p:n-n/(p*2); +[Y,X] = meshgrid(x,x); +start_points = round( start_points*(n-1)+1 ); +start_points = cat(1, X(:)', Y(:)'); + +%% progressive propagation +[D,S,Q] = perform_fast_marching(T, start_points ); +dmax_list = linspace( 0,max(D(:)), 15 ); +dmax_list(1) = []; % dmax_list(end) = Inf; +for i=1:length(dmax_list) + options.dmax = dmax_list(i); + [D,S,Q] = perform_fast_marching(T, start_points, options); + + I = find(D~=Inf); J = find(D==Inf); + D(I) = perform_histogram_equalization(D(I), linspace(0,1,length(I))); + D(J) = 0; + A = apply_colormap(D, 'jet'); + A(J) = M(J); A(J+n^2) = M(J); A(J+2*n^2) = M(J); + + warning off; + imwrite( A, [rep name '-propagation-' num2str(i) '.png'], 'png' ); + warning on; + imageplot(A); drawnow; +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% test for various anisotropy +nstart = 1; +nstart = 40; +if nstart==1 + start_points = [n/2;n/2]; +else + start_points = rand(2,nstart); + start_points(1,:) = rescale(start_points(1,:),.1,.9); + start_points(2,:) = rescale(start_points(2,:),.1,.9); + p = 8; + x = n/(p*2):n/p:n-n/(p*2); + [Y,X] = meshgrid(x,x); + start_points = round( start_points*(n-1)+1 ); + start_points = cat(1, X(:)', Y(:)'); + nstart = size(start_points,2); + start_points = start_points(:,randperm(nstart)); +end +if strcmp(name(end-1:end), '3d') + start_points(end/2) = ceil(s(end)/2); +end + +for ianiso = 1:length(aniso_list) + + aniso = aniso_list(ianiso); + + % use cross product to compute the 2 remaining orthogonal directions + if strcmp(name(end-1:end), '2d') + % 3D field + V = cat(3, -U(:,:,2), U(:,:,1)); % orthogonal vector + T = perform_tensor_recomp(U,V, ones(n),ones(n)*aniso ); + else + % 3D field + U = cat(5, U, randn(s(1),s(2),s(3),3,2)); + U(:,:,:,:,3) = cross( U(:,:,:,:,1),U(:,:,:,:,2), 4 ); + U(:,:,:,:,3) = perform_vf_normalization( U(:,:,:,:,3) ); + U(:,:,:,:,2) = cross( U(:,:,:,:,1),U(:,:,:,:,3), 4 ); + U(:,:,:,:,2) = perform_vf_normalization( U(:,:,:,:,2) ); + Lambda = ones(s(1),s(2),s(3),3); + Lambda(:,:,:,2:3) = aniso; + T = perform_tensor_decomp_3d(U,Lambda); + end + + [D,S,Q] = perform_fast_marching(T, start_points); + + D1 = D(:,:,ceil(s(end)/2)); + if strcmp(name(end-1:end),'3d') + T1 = T(:,:,ceil(s(end)/2), 1:2,1:2); + else + T1 = T; + end + + D1 = perform_histogram_equalization(D1, linspace(0,1,n^2)); + + warning off; + imwrite( apply_colormap(Q, 'jet'), [rep name '-aniso-' num2str(ianiso) '-voronoi.png'], 'png' ); + imwrite( apply_colormap(D1, 'jet'), [rep name '-aniso-' num2str(ianiso) '-distance.png'], 'png' ); + warning on; + + clf; + plot_tensor_field(T1,M); + saveas(gcf, [rep name '-aniso-' num2str(ianiso) '-tensors.png'], 'png'); + + clf; + %hold on; + options.sub = round(n/15); +% options.color = 'k'; +% plot_tensor_field(T1, D1, options); + imageplot(D1); + h = plot(start_points(2,:),start_points(1,:), 'w.'); + set(h, 'MarkerSize', 25); + colormap jet(256); + + % saveas(gcf, [rep name '-aniso-' num2str(ianiso) '.png'], 'png'); + +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_anisotropic_fm_old.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_anisotropic_fm_old.m.svn-base new file mode 100644 index 0000000..633cee3 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_anisotropic_fm_old.m.svn-base @@ -0,0 +1,101 @@ +% test for a simple anisotropic metric +name = 'fixed-2d'; +name = 'fixed-3d'; +name = 'varying-2d'; + +rep = 'results/anisotropic-fm/'; +if not(exist(rep)) + mkdir(rep); +end + +% create the main direction of the field +switch name + case 'fixed-3d' % Fixed 3D tensor field + n = 20; + s = [n n n]; % size + % main direction of the tensor + u = [1 .1 .1]; + U = repmat( reshape(u,1,1,1,3),[n n n 1] ); + case 'fixed-2d' % Fixed 2D tensor field + n = 40; + s = [n n 1]; + % main direction of the tensor + u = [1 .1]; + U = repmat( reshape(u,1,1,2),[n n 1] ); + case 'varying-2d' % spacially varying 2D field + n = 200; + % create 2D vector field + s = [n n 1]; + U = randn(n,n,2); + sigma = 30; + for it=1:10 + U = perform_vf_normalization( perform_blurring(U, sigma) ); + end + +end +U = perform_vf_normalization( U ); + + +% test for various degree of anisotropy +aniso_list = [0.01 0.05 .1 .2 .5 1]; + +nstart = 1; +nstart = 8; +if nstart==1 + start_points = [n/2 n/2]; +else + start_points = rand(2,nstart); + start_points(1,:) = rescale(start_points(1,:),.1,.9); + start_points(2,:) = rescale(start_points(2,:),.1,.9); + start_points = round( start_points*(n-1)+1 ); +end +if strcmp(name(end-1:end), '3d') + start_points(end/2) = ceil(s(end)/2); +end + +for ianiso = 1:length(aniso_list) + + aniso = aniso_list(ianiso); + + % use cross product to compute the 2 remaining orthogonal directions + if strcmp(name(end-1:end), '2d') + % 3D field + V = cat(3, -U(:,:,2), U(:,:,1)); % orthogonal vector + T = perform_tensor_recomp(U,V, ones(n),ones(n)*aniso ); + else + % 3D field + U = cat(5, U, randn(s(1),s(2),s(3),3,2)); + U(:,:,:,:,3) = cross( U(:,:,:,:,1),U(:,:,:,:,2), 4 ); + U(:,:,:,:,3) = perform_vf_normalization( U(:,:,:,:,3) ); + U(:,:,:,:,2) = cross( U(:,:,:,:,1),U(:,:,:,:,3), 4 ); + U(:,:,:,:,2) = perform_vf_normalization( U(:,:,:,:,2) ); + Lambda = ones(s(1),s(2),s(3),3); + Lambda(:,:,:,2:3) = aniso; + T = perform_tensor_decomp_3d(U,Lambda); + end + + D = perform_fast_marching(T, start_points); + + D1 = D(:,:,ceil(s(end)/2)); + if strcmp(name(end-1:end),'3d') + T1 = T(:,:,ceil(s(end)/2), 1:2,1:2); + else + T1 = T; + end + + clf; + imageplot(D1); + colormap jet(256); + + clf; + hold on; + options.sub = round(n/15); + options.color = 'k'; + plot_tensor_field(T1, D1, options); + h = plot(start_points(2,:),start_points(1,:), 'r.'); + set(h, 'MarkerSize', 20); + colormap jet(256); + + saveas(gcf, [rep name '-aniso-' num2str(ianiso) '.png'], 'png'); + +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_bending_invariants.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_bending_invariants.m.svn-base new file mode 100644 index 0000000..0642b8f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_bending_invariants.m.svn-base @@ -0,0 +1,51 @@ +% computation of bending invariants + + +path(path, 'toolbox/'); + + +disp('Loading mesh.'); +% [vertex,faces] = gen_base_mesh('ico',4); + +path(path, '../toolbox_graph_data/'); +path(path, '../toolbox_graph_data/off/'); + +name = 'fandisk'; +name = 'nefertiti'; +name = 'beetle'; +name = 'david50kf'; +name = 'gargoyle'; +name = 'horse'; +name = 'bunny'; +name = 'elephant-50kv'; +name = 'hand'; +[vertex,faces] = read_mesh(name); + + +options.nlandmarks = 200; +vertex1 = compute_bending_invariant(vertex,faces,options); + + +rep = ['results/bening-invariants/']; +if not(exist(rep)) + mkdir(rep); +end + +% display both the original mesh and the embedding +options.name = name; +clf; +plot_mesh(vertex, faces, options); +shading interp; camlight; +saveas(gcf, [rep name '-original.png'], 'png'); +if strcmp(name, 'david50kf') || strcmp(name, 'hand') + zoom(.9); +end + +clf; +plot_mesh(vertex1, faces, options); +shading interp; camlight; +saveas(gcf, [rep name '-invariant.png'], 'png'); +if strcmp(name, 'david50kf') || strcmp(name, 'hand') + zoom(.9); +end + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_bug.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_bug.m.svn-base new file mode 100644 index 0000000..9125868 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_bug.m.svn-base @@ -0,0 +1,50 @@ +% addpath(genpath('fm')); + +m = 10; +S = zeros(m,m,m); S(2:4,2:4,2:4)=1; + +options.null = 0; + +if 0 +options.constraint_map = S; +options.constraint_map(S==0) = -Inf; +options.constraint_map(S~=0) = +Inf; +end + + +% gaussian weight (path will avoid center of the cube) +x = -1:2/(m-1):1; +[X,Y,Z] = meshgrid(x,x,x); +sigma = 0.4; +W = 1./(1 + exp( -(X.^2+Y.^2+Z.^2)/sigma^2 ) ); + +% options.nb_iter_max = Inf; + +W = rescale(S,1e-5,1); +W = rand(m,m,m); +W = rescale(W,.5,1); + + +tic +[D,RS] = perform_fast_marching(W, [2; 2; 2], options); +fprintf(1,'m = %d, time = %f\n', m, toc); + + +return; + +for m=[10 20 50 100] + + S = zeros(m,m,m); S(2:4,2:4,2:4)=1; + + options.constraint_map = S; + options.constraint_map(S==0) = -Inf; + options.constraint_map(S~=0) = +Inf; + + W = rescale(S,1e-5,1); + + tic + [D,RS] = perform_fast_marching(W, [2; 2; 2], options); + fprintf(1,'m = %d, time = %f\n', m, toc); +end + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_circular.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_circular.m.svn-base new file mode 100644 index 0000000..4c38edf --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_circular.m.svn-base @@ -0,0 +1,85 @@ +% test for circular fast marching +% +% Copyright (c) 2004 Gabriel Peyré + +% some parameters +n = 400; +name = 'diatom'; +name = 'amibe'; +name = 'ellipse'; +name = 'surbiscbox'; +name = 'stephanodiscusniagarae'; + +% load test imges +if strcmp(name, 'ellipse') + [Y,X] = meshgrid( -1:2/(n-1):1, -1:2/(n-1):1 ); + ax = 0.8; ay = 0.6; + M = (X/ax).^2 + (Y/ay).^2<1; +else + file_name = ['data/', name, '.png']; + M_original = double( imread(file_name) ); + M_original = rescale(M_original); + M = M_original; +end + +% compute the speed function +epsi = 0.05; +s = 3; +W = compute_edge_energy(M,s,epsi); + +% resize +if 1 +m = n/max(size(M)); +m = round( size(M)*m ); +warning off; +M = perform_image_resize(M,m(1),m(2)); +W = perform_image_resize(W,m(1),m(2)); +warning on; +else + m = size(M); +end + +% pick start/end/center points +[start_points,end_points,center_point] = pick_start_end_point(M); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% scale the metric to avoid shrinkage near zeros +if 1 +[Y,X] = meshgrid(1:m(2), 1:m(1)); +d = sqrt( (X-center_point(1)).^2 + (Y-center_point(2)).^2 ); +d(center_point(1),center_point(2)) = 1e-9; +W = W.*d; +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% perform front propagation +clear options; +options.nb_iter_max = Inf; +options.end_points = end_points; +disp('Performing front propagation.'); +[D,S] = perform_circular_fast_marching_2d(W, start_points, center_point, options); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% extract the path +disp('Extracting path.'); +% end_points = start_points; end_points(2) = end_points(2)-4; +options.Tmax = sum(m)*2; +options.start_points = start_points; +path = compute_geodesic(D,end_points, options); + +% litle cleaning in the path ... +if 0 +d = (path(:,1)-start_points(1)).^2 + (path(:,2)-start_points(2)).^2; +p = length(d); +[tmp,I] = min(d(round(p/2):end)); +path = path(1:(p/2+I(1)), :); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% display +% scale the path so that it fits into the original image +path = (path-1)*size(M,1)/m(1)+1; +start_points = (start_points-1)*size(M,1)/m(1)+1; +end_points = (end_points-1)*size(M,1)/m(1)+1; +plot_fast_marching_2d(M,[],path,start_points,end_points); +colormap gray(256); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_circular_fast_marching_2d.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_circular_fast_marching_2d.m.svn-base new file mode 100644 index 0000000..042205f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_circular_fast_marching_2d.m.svn-base @@ -0,0 +1,57 @@ +% test for circular fast marching +% +% Copyright (c) 2004 Gabriel Peyré + +% some parameters +name = 'stephanodiscusniagarae'; + +% load test imges +file_name = ['data/', name, '.jpg']; +M = double( imread(file_name) ); +M = rescale(M); +m = size(M); + +% compute the speed function +W = compute_edge_energy(M); + +% pick start/end/center points +[start_points,end_points,center_point] = pick_start_end_point(M); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% scale the metric to avoid shrinkage near zeros +[Y,X] = meshgrid(1:m(2), 1:m(1)); +d = sqrt( (X-center_point(1)).^2 + (Y-center_point(2)).^2 ); +d(center_point(1),center_point(2)) = 1e-9; +W = W.*d; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% perform front propagation +clear options; +options.nb_iter_max = Inf; +options.end_points = end_points; +disp('Performing front propagation.'); +[D,S] = perform_circular_fast_marching_2d(W, start_points, center_point, options); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% extract the path +disp('Extracting path.'); +% end_points = start_points; end_points(2) = end_points(2)-4; +options.Tmax = sum(m)*2; +path = compute_geodesic(D,end_points, options); + +% litle cleaning in the path ... +if 0 +d = (path(:,1)-start_points(1)).^2 + (path(:,2)-start_points(2)).^2; +p = length(d); +[tmp,I] = min(d(round(p/2):end)); +path = path(1:(p/2+I(1)), :); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% display +% scale the path so that it fits into the original image +path = (path-1)*size(M,1)/m(1)+1; +start_points = (start_points-1)*size(M,1)/m(1)+1; +end_points = (end_points-1)*size(M,1)/m(1)+1; +plot_fast_marching_2d(M,[],path,start_points,end_points); +colormap gray(256); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_circular_prior.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_circular_prior.m.svn-base new file mode 100644 index 0000000..4591823 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_circular_prior.m.svn-base @@ -0,0 +1,80 @@ +% test for circular shape priors +% +% Copyright (c) 2004 Gabriel Peyré + +% some parameters +n = 400; +name = 'diatom'; +name = 'surbiscbox'; +name = 'stephanodiscusniagarae'; + +% load test imges +file_name = ['data/', name, '.png']; +M_original = double( imread(file_name) ); +M_original = rescale(M_original); +M = M_original; + +% compute the speed function +W = compute_edge_energy(M); + +% resize +m = n/max(size(M)); +m = round( size(M)*m ); +warning off; +M = perform_image_resize(M,m(1),m(2)); +W = perform_image_resize(W,m(1),m(2)); +warning on; + +% pick start/end/center points +[start_points,end_points,center_point] = pick_start_end_point(M, 1); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% scale the metric to avoid shrinkage near zeros +if 0 +[Y,X] = meshgrid(1:m(2), 1:m(1)); +d = sqrt( (X-center_point(1)).^2 + (Y-center_point(2)).^2 ); +d(center_point(1),center_point(2)) = 1e-9; +W = W.*d; +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% compute heuristic mapping +[Y,X] = meshgrid(1:m(1), 1:m(2)); +r = sqrt( (center_point(1)-start_points(1)).^2 + (center_point(2)-start_points(2)).^2 ); +s = sqrt( (X-start_points(1)).^2 + (Y-start_points(2)).^2 ); +I = find(s>2*r); +H = r*( 2*pi - 2*asin(s/(2*r)) ); +H(I) = pi*r; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% perform front propagation +clear options; +options.nb_iter_max = Inf; +options.end_points = end_points; +disp('Performing front propagation.'); +[D,S] = perform_circular_fast_marching_2d(W, start_points, center_point, options, H); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% extract the path +disp('Extracting path.'); +% end_points = start_points; end_points(2) = end_points(2)-4; +options.Tmax = sum(m)*2; +options.start_points = start_points; +path = compute_geodesic(D,end_points, options); + +% litle cleaning in the path ... +if 0 +d = (path(:,1)-start_points(1)).^2 + (path(:,2)-start_points(2)).^2; +p = length(d); +[tmp,I] = min(d(round(p/2):end)); +path = path(1:(p/2+I(1)), :); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% display +% scale the path so that it fits into the original image +path = (path-1)*size(M,1)/m(1)+1; +start_points = (start_points-1)*size(M,1)/m(1)+1; +end_points = (end_points-1)*size(M,1)/m(1)+1; +plot_fast_marching_2d(M,[],path,start_points,end_points); +colormap gray(256); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_constrained_map.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_constrained_map.m.svn-base new file mode 100644 index 0000000..8f148a5 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_constrained_map.m.svn-base @@ -0,0 +1,32 @@ +% test for propagation constrained to a sub-set of points + + +n = 300; +name = 'mountain'; +name = 'constant'; + +% number of points +p = 80; +start_points = floor(rand(2,p)*(n-1))+1; + +x = linspace(-1,1,n); +[Y,X] = meshgrid(x,x); +L = zeros(n)-Inf; +I = find(X.^2 + Y.^2 < 0.6^2); L(I) = Inf; +options.constraint_map = L; + +[M,W] = load_potential_map(name, n); + +[D,Z,Q] = perform_fast_marching(W, start_points, options); + +clf; +subplot(1,2,1); +hold on; +imagesc(Q'); axis image; axis off; +plot(start_points(1,:), start_points(2,:), 'k.'); +hold off; +subplot(1,2,2); +hold on; +imagesc(D'); axis image; axis off; +plot(start_points(1,:), start_points(2,:), 'k.'); +hold off; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_distance_approximation.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_distance_approximation.m.svn-base new file mode 100644 index 0000000..ddd2bc8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_distance_approximation.m.svn-base @@ -0,0 +1,233 @@ +% test for influence of sampling strategy on the +% decreasing of the error + +n = 80; + +rep = 'images/distance_approx/'; +rep_eps = [rep 'eps/']; +if exist(rep)~=7 + mkdir(rep); +end +if exist(rep_eps)~=7 + mkdir(rep_eps); +end + +marker_size = 20; +contour_width = 2; +nb_contours = 12; +save_image = 1; +save_image_eps = 0; + +if ~exist('name') + name = 'bump'; + name = 'map'; + name = 'stephanodiscusniagarae'; + name = 'cavern'; + name = 'gaussian'; + name = 'road2'; + name = 'mountain'; + name = 'constant'; +end + +[M,W] = load_potential_map(name, n); + +switch lower(name) + case 'road2' + A = [0.0352 0.7638; 0.5377 0.4271]; + case 'mountain' + A = [0.1005 0.8442; 0.6332 0.3116]; + case 'constant' + A = [0.1 0.1; 0.7 0.9]; +end + +% get two samples points +if exist('A') + start_points = round(A(:,1)*(n-1)+1); + end_points = round(A(:,2)*(n-1)+1); +else + [start_points,end_points] = pick_start_end_point(M); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% save real distance function +D = my_eval_distance(W, end_points); +clf; +hold on; +m = sort(D(:)); m = m(end-10); +imagesc(min(D,m)'); +contour(min(D,m)', nb_contours, 'k', 'LineWidth', contour_width); +axis tight; axis image; axis off; +plot(start_points(1,:), start_points(2,:), 'kx', 'MarkerSize', 10); +hold off; +colormap jet(256); +axis image; axis off; +% save to file +if save_image + str = [name '_original_distance']; + saveas(gcf, [rep str '.png'], 'png'); + if save_image_eps + saveas(gcf, [rep_eps str '.eps'], 'epsc'); + end +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%% base point for error computation %%%%%% +nbr_base_points = 50; +% base point position +base_points = floor( rand(2, nbr_base_points)*n ) + 1; +% record distances to landmarks +DL_base = zeros(n,n,nbr_base_points); +% compute real distance to these base ponts +fprintf('Compute distance to base points '); +for s=1:nbr_base_points + fprintf('.'); + DL_base(:,:,s) = my_eval_distance(W, base_points(:,s)); +end +fprintf('\n'); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%% error decreasing %%%%%% +err_list = {}; +% for recording error +nbr_landmark_list = [16:16:128]; +% for recording images +display_list = [16 32 64 128 256]; +landmark_init_list = {'rand', 'farthestboundary'}; +landmark_init_list = {'rand'}; % 'farthest' 'trialerror' 'farthestboundary' + +% performing test +err_list = {}; +err_list_abscice = {}; +lgd = {}; +k = 0; + +ldm_order_list = 0:5; +err = zeros(length(ldm_order_list), length(nbr_landmark_list)); + +for k=1:length(landmark_init_list) + + landmark_init = landmark_init_list{k}; + + % landmark position + landmark = []; + % record distances to landmarks + DL_landmark = []; + + for t=1:length(nbr_landmark_list) + nbr_landmarks = nbr_landmark_list(t); + + disp( ['Testing method with ' num2str(nbr_landmarks) ' landmarks'] ); + while size(landmark,2)0.5); + +% make sure pixels on the boundary are black +if M(1)==1 + M = 1-M; +end + +% compare the geodesic distance to the euclidean distance +clf; +imagesc(M); axis image; axis off; +title('click on a point inside the shape'); +% [y,x] = ginput(1); +x = 50; y = 50; +start_points = round([x y]'); +W = ones(n); +L = zeros(n)-Inf; L(M==1) = +Inf; +options.constraint_map = []; +[D0,S,Q] = perform_fast_marching(W, start_points, options); +options.constraint_map = L; +[D1,S,Q] = perform_fast_marching(W, start_points, options); +D0(M==0) = 0; D1(M==0) = 0; + +clf; +subplot(1,2,1); +hold on; +display_eccentricity(D0, 1); +h = plot(y,x, 'r.'); +set(h, 'MarkerSize', 20); +axis ij; +title('Euclidean distance'); +subplot(1,2,2); +hold on; +display_eccentricity(D1, 1); +h = plot(y,x, 'r.'); +set(h, 'MarkerSize', 20); +axis ij; +title('Geodesic distance'); + +% saveas(gcf, [rep name '-geodesic-dist.eps'], 'epsc'); + + +options.s = s; +options.nb_samples = 300; % subamples +[E,Ind] = compute_eccentricity_transform(M, options); + +clf; +subplot(1,2,1); +display_eccentricity(E, 1); +title('Eccentricity Transform'); + +if strcmp(method, 'ecc') + [ep,I,J] = unique( Ind(:) ); ep(ep==Inf) = []; + [eccx,eccy] = ind2sub([n n], ep); + J = reshape(J,n,n); + + subplot(1,2,2); + hold on; + imagesc(J); + h = plot(eccy,eccx,'r.'); + set(h, 'MarkerSize', 20); + hold off; + title('Eccentric points'); + axis image; axis off; axis ij; + + % saveas(gcf, [rep name '-' testname '.png'], 'png'); + % saveas(gcf, [rep name '-' testname '.eps'], 'epsc'); + + % subplot(2,2,3); + % display_eccentricity(E, 2); +end + + +% display the histograms +clf; +I = find(E>0); +v = rescale(E(I)); +hist(v, 60); +title('Histogram'); +axis tight; +% saveas(gcf, [rep name '-histogram.eps'], 'epsc'); +saveas(gcf, [rep name '-histogram-' method '.png'], 'png'); + +%% save as pretty images +[Y,X] = meshgrid(1:n,1:n); +r = 0.02*n; +% save shape +warning off; +imwrite( 1-M, [rep name '-shape.png'], 'png' ); +% save eccentricity +E0 = E; E0(M==0) = Inf; +E0 = convert_distance_color(E0); +% place a dot at the center +[tmp,i] = min(E(:) + (E(:)==0)*1e9); [x,y] = ind2sub([n n], i); +I = find( (X-x).^2 + (Y-y).^2 <= r^2 ); +for i=1:3 + A = E0(:,:,i); A(I) = i==1; + E0(:,:,i) = A; + A = E0(:,:,i); A(I) = i==1; + E0(:,:,i) = A; +end +imwrite( E0, [rep name '-shape-' method '.png'], 'png' ); +if strcmp(method, 'ecc') + % save eccentric points + E0 = Ind; + [tmp,a,E0] = unique(E0); E0 = reshape(E0,n,n); + E0(M==0) = Inf; + E0 = convert_distance_color(E0); + for k=1:length(eccx) + I = find( (X-eccx(k)).^2 + (Y-eccy(k)).^2 <= r^2 ); + for i=1:3 + A = E0(:,:,i); A(I) = i==1; + E0(:,:,i) = A; + A = E0(:,:,i); A(I) = i==1; + E0(:,:,i) = A; + end + end + imwrite( E0, [rep name '-shape-eccpoints.png'], 'png' ); + warning on; +end diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_eucldist.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_eucldist.m.svn-base new file mode 100644 index 0000000..a579069 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_eucldist.m.svn-base @@ -0,0 +1,5 @@ +% test for euclidean distance + +M = load_image('disk', 128); +M = logical(M); +[D,L] = eucdist2(M); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_farthest_sampling_2d.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_farthest_sampling_2d.m.svn-base new file mode 100644 index 0000000..6219c75 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_farthest_sampling_2d.m.svn-base @@ -0,0 +1,143 @@ +% test for farthest point sampling + +n = 300; + +name = 'bump'; +name = 'map'; +name = 'stephanodiscusniagarae'; +name = 'cavern'; +name = 'gaussian'; +name = 'road2'; +name = 'binary'; +name = 'constant'; +name = 'mountain'; +name = 'anisotropic'; + +mask_name = 'disk'; +mask_name = ''; +mask = ones(n); +if not(isempty(mask_name)) + options.radius = .48; + mask = rescale( load_image(mask_name,n,options) ); +end +options.constraint_map = mask; +options.constraint_map(mask>.5) = +Inf; +options.constraint_map(mask<=.5) = -Inf; + + +rep = ['results/farthest-sampling/' name '/']; +if exist(rep)~=7 + mkdir(rep); +end + +if strcmp(name, 'anisotropic') + % anisotropic tensor field + aniso_type = 'fixed'; + aniso_type = 'varying'; + if strcmp(aniso_type, 'fixed') + u = [1 .5]; + U = repmat( reshape(u,1,1,2),[n n 1] ); + elseif strcmp(aniso_type, 'varying') + U = randn(n,n,2); + sigma = 40*(n/200); + for it=1:10 + U = perform_vf_normalization( perform_blurring(U, sigma) ); + end + end + U = perform_vf_normalization( U ); + % 3D field + aniso = .01; + V = cat(3, -U(:,:,2), U(:,:,1)); % orthogonal vector + W = perform_tensor_recomp(U,V, ones(n),ones(n)*aniso ); + if exist('perform_lic') + % compute a cool 2D lic texture + options.isoriented = 0; + M0 = perform_blurring(randn(n),0); + M0 = perform_histogram_equalization( M0, 'linear'); + options.histogram = 'linear'; + options.dt = 0.4; options.M0 = M0; + options.verb = 1; options.flow_correction = 1; + options.niter_lic = 2; + w = 15; + w = 30; + M = perform_lic(U, w, options); + else + M = U; % background image + end + clf; + plot_tensor_field(W,M); + saveas(gcf, [rep name '-tensors.png'], 'png'); +elseif strcmp(name, 'binary') + W = rescale(W,0.5,1); M = W; + M(1) = min(M(:))-.3; M(2) = max(M(:))+.3; +else + [M,W] = load_potential_map(name, n); +end + +warning off; +imwrite(rescale(M), [rep name '-metric.png'], 'png'); +warning on; + + +% plot sampling location +ms = 12; lw = 1.5; +i = 0; + +I = find(mask==1); +[vx vy] = ind2sub(size(W), I(1)); +landmark = [vx;vy]; + + +for nbr_landmarks = [100 200 500 800 1200] % 10 20 40 + i = i+1; + disp('Perform farthest point sampling'); + landmark = perform_farthest_point_sampling( W, landmark, nbr_landmarks-size(landmark,2), options ); + + % compute the associated triangulation + [D,Z,Q] = perform_fast_marching(W, landmark); + + Q1 = zeros(n+2)-1; Q1(2:end-1,2:end-1) = Q; + faces = compute_voronoi_triangulation(Q1,landmark); + edges = compute_edges(faces); + I = find(edges(1,:)>0 & edges(2,:)>0 ); + edges = edges(:,I); + + sel = randperm(nbr_landmarks); % shuffle colors + Q = sel(Q); + + clf; + hold on; + imageplot(Q'); + plot(landmark(1,:), landmark(2,:), 'r.', 'MarkerSize', ms); + colormap jet(256); + hold off; + saveas(gcf, [rep name '-voronoi-' num2string_fixeddigit(nbr_landmarks,3) '.png'], 'png'); + + % display sampling + distance + D = perform_histogram_equalization(D,linspace(0,1,n^2)); + clf; + hold on; + imageplot(D'); + plot(landmark(1,:), landmark(2,:), 'r.', 'MarkerSize', ms); + hold off; + colormap jet(256); + saveas(gcf, [rep name '-sampling-' num2string_fixeddigit(nbr_landmarks,3) '.png'], 'png'); + + % display triangulation + clf; + hold on; + if strcmp(name, 'anisotropic') && ~exist('perform_lic') + plot_tensor_field(W, M); + else + imageplot( M'); + end + if not(isempty(edges)) + h = plot_edges(edges, landmark, 'b'); + set(h, 'LineWidth',lw); + end + plot(landmark(1,:), landmark(2,:), 'r.', 'MarkerSize', ms); + hold off; + axis tight; axis image; axis off; + colormap gray(256); + saveas(gcf, [rep name '-triangulation-' num2string_fixeddigit(nbr_landmarks,3) '.png'], 'png'); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_farthest_sampling_3d.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_farthest_sampling_3d.m.svn-base new file mode 100644 index 0000000..5672bd9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_farthest_sampling_3d.m.svn-base @@ -0,0 +1,97 @@ +% test for farthest point sampling for volumetric mesh + +n = 150; + +name = 'constant'; +name = 'central'; +name = 'sphere'; +name = 'medical'; + +rep = ['results/farthest-sampling-3d/' name '/']; +if exist(rep)~=7 + mkdir(rep); +end + +switch name + case 'constant' + W = ones(n,n,n); + case {'central' 'sphere'} + x = linspace(-1,1,n); + [X,Y,Z] = meshgrid(x, x, x); + W = sqrt( X.^2+Y.^2+Z.^2 ); + if strcmp(name, 'sphere') + r = .6; + W = rescale( -(W<=r) ); + end + W = rescale(W,.1,1); + case 'medical' + load brain1-crop-256.mat + M = crop(M,n); + W = rescale(-abs(M-median(M(:)))); + W = rescale( clamp(W,.6,1),.2,1); + otherwise + error('Unknown potential'); +end + +method = 'geodesic'; +method = 'delaunay'; + +% padd to treat correctly boundary +if strcmp(method, 'geodesic') + k = 10; + W1 = perform_image_extension(W,n+2*k, '2side'); +end + +% plot sampling location +ms = 20; lw = 3; +i = 0; +for npoints = [400 800 1600 3000 5000 10000] + i = i+1; + disp('Perform farthest point sampling'); + if i==1 + [x,y,z] = meshgrid([1 n], [1 n], [1 n]); + vertex = cat(1, x(:)', y(:)', z(:)'); + end + vertex = perform_farthest_point_sampling( W, vertex, npoints-size(vertex,2) ); + + % display sampling + clf; + hold on; + h = imageplot(W); + view(60,30); zoom(.8); camlight; + alphamap(linspace(0,.1,100)); vol3d(h); + h = plot3(vertex(1,:),vertex(2,:),vertex(3,:), '.'); + set(h, 'MarkerSize', ms); + hold off; + saveas(gcf, [rep name '-sampling-' num2string_fixeddigit(npoints,5) '.png'], 'png'); + + % compute the associated triangulation + if strcmp(method, 'delaunay') + faces = delaunay3(vertex(1,:),vertex(2,:),vertex(3,:))'; + else + vertex1 = vertex+k; + [D,Z,Q] = perform_fast_marching(W1, vertex1); + faces = compute_voronoi_triangulation(Q,vertex); + end + + + w = [1 1 1]; w = w(:)/sqrt(sum(w.^2)); + t = sum(vertex.*repmat(w,[1 size(vertex,2)])); + delta = max(t)-min(t); + offlist = linspace( min(t(:)) + .3*delta, max(t(:)) - .3*delta, 5 ); + for i=1:length(offlist) + options.cutting_plane = w; + options.cutting_offs = offlist(i); + clf; + hold on; + %h = imageplot(W); + %alphamap(linspace(0,.1,100)); + plot_mesh(vertex,faces, options); + % set(h{2}, 'Marker', 'r.'); + view(60,30); zoom(.8); camlight; + % vol3d(h); + hold off; + saveas(gcf, [rep name '-sampling-' num2string_fixeddigit(npoints,5) '-mesh-' num2str(i) '.png'], 'png'); + end + +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_farthest_sampling_mesh.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_farthest_sampling_mesh.m.svn-base new file mode 100644 index 0000000..cd59f0d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_farthest_sampling_mesh.m.svn-base @@ -0,0 +1,82 @@ +% test for farthest point sampling on 3D meshes + +n = 300; +repimg = 'results/farthest-sampling-mesh/'; +if exist(repimg)~=7 + mkdir(repimg); +end + + +path(path, '../toolbox_graph_data/off/'); +name = 'nefertiti'; +name = 'beetle'; +name = 'fandisk'; +name = 'david50kf'; +name = 'brain'; +name = 'pelvis'; +[vertex,faces] = read_mesh(name); +options.name = name; + +if size(vertex,1)>size(vertex,2) + vertex = vertex'; +end +if size(faces,1)>size(faces,2) + faces = faces'; +end + +if strcmp(name, 'brain') + % remove half of the vertices + [tmp,I] = sort(vertex(3,:), 2, 'descend'); + J = reverse_permutation(I); + vertex = vertex(:,I); + faces = J(faces); + n = size(vertex,2); n = round(n/2); + vertex = vertex(:,1:n); + faces = faces(:,sum(faces>n)==0); +end + + +save_images = 1; + +% plot sampling location +i = 0; +landmark = []; +for nbr_landmarks = [200 500 1000 2000 5000 10000] % 100:50:500 + i = i+1; + + disp('Perform farthest point sampling.'); + landmark = perform_farthest_point_sampling_mesh( vertex,faces, landmark, nbr_landmarks-length(landmark) ); + + % compute the associated triangulation + [D,Z,Q] = perform_fast_marching_mesh(vertex, faces, landmark); + [vertex_voronoi,faces_voronoi] = compute_voronoi_triangulation_mesh(Q,vertex,faces); + options.method = 'fast'; + options.method = 'slow'; + faces_voronoi = perform_faces_reorientation(vertex_voronoi,faces_voronoi, options); + + % display + col = D; col(col==Inf) = 0; +% options.face_vertex_color = col; + clf; + hold on; + plot_mesh(vertex, faces, options); + h = plot3(vertex_voronoi(1,:),vertex_voronoi(2,:),vertex_voronoi(3,:), 'r.'); + set(h, 'MarkerSize', 20); + hold off; + colormap gray(256); + shading interp; + camlight; + + if save_images + saveas(gcf, [repimg name '-sampling-' num2string_fixeddigit(nbr_landmarks,4) '.png'], 'png'); + end + + clf; + plot_mesh(vertex_voronoi,faces_voronoi, options); + shading faceted; lighting flat; + camlight; + + if save_images + saveas(gcf, [repimg name '-remeshing-' num2string_fixeddigit(nbr_landmarks,4) '.png'], 'png'); + end +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_farthest_sampling_shape.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_farthest_sampling_shape.m.svn-base new file mode 100644 index 0000000..3a89bb4 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_farthest_sampling_shape.m.svn-base @@ -0,0 +1,84 @@ +% test for meshing the inside of an object + +path(path,'toolbox/'); +path(path,'data/'); +name = 'mm'; +n = 400; +Ma = load_image(name,n-10); +Ma = rescale(abs(Ma)); + +% to avoid that the shape touches the boundary +M = zeros(n,n,3); +M(6:n-5,6:n-5,:) = Ma; + +repimg = 'results/meshing-shape/'; +if ~exist(repimg) + mkdir(repimg); +end + + +M1 = mean(M,3); +mask = 1-(M1==M1(1)); + + +boundary = compute_shape_boundary(mask)'; +Ibound = boundary(1,:) + (boundary(2,:)-1)*n; +for k=1:size(M,3) + Ma = M(:,:,k); + Ma(M1<=0) = 1; + Ma(Ibound) = 1; + M(:,:,k) = Ma; +end + +% number of samples for the mesh +if not(exist('p')) + p = 400; +end +% use an adaptive distance field +if not(exist('use_adaptive')) + use_adaptive = 1; +end + +if use_adaptive + % compute boundary points + boundary = compute_shape_boundary(mask)'; + % compute distance to boundary + [D,Z,Q] = perform_fast_marching(ones(n), boundary); + % set up a distancing field + R = 0.8; + D1 = min(rescale(D),R); + H = sqrt( R^2 - (D1-R).^2 ) * n; + W = rescale( D, 0.1,1 ); +else + W = ones(n); +end + + + +%% perform sampling using farthest point +L = zeros(n) - Inf; +I = find(mask); L(I) = Inf; +vertex = [n/2;n/2]; +options.constraint_map = L; +vertex = perform_farthest_point_sampling(W, vertex, p, options ); + +%% compute the associated triangulation +[D,Z,Q] = perform_fast_marching(W, vertex, options); +faces = compute_voronoi_triangulation(Q, vertex); + +%% display +clf; +hold on; +imagesc(rescale(M)); axis image; axis off; +plot_edges(compute_edges(faces), vertex(2:-1:1,:), 'r'); +plot(vertex(2,:), vertex(1,:), 'b.', 'MarkerSize', 8); +hold off; +axis tight; axis image; axis off; +colormap gray(256); +axis ij; + +str = [name '-mesh-' num2str(p)]; +if use_adaptive + str = [str '-adaptive']; +end +saveas(gcf, [repimg str '.png'], 'png'); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fast_marching_2d.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fast_marching_2d.m.svn-base new file mode 100644 index 0000000..b7ddec2 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fast_marching_2d.m.svn-base @@ -0,0 +1,56 @@ +% test for fast marching and geodesic extraction +% +% Copyright (c) 2004 Gabriel Peyré + +n = 600; +name = 'road2'; +name = 'constant'; +name = 'mountain'; +[M,W] = load_potential_map(name, n); + +rep = 'results/geodesic-2d/'; +if not(exist(rep)) + mkdir(rep); +end + +warning off; +imwrite(rescale(W), [rep name '-map.png'], 'png'); +warning on; + +% pick starting point +[start_points] = pick_start_end_point(M); + +options.nb_iter_max = Inf; +disp('Performing front propagation.'); +[D,S] = perform_fast_marching(W, start_points, options); + +npaths = 30; +end_points = floor( rand(npaths,2)*(n-1) )+1; + +disp('Extract paths'); +paths = {}; +for i=1:npaths + paths{i} = compute_geodesic(D,end_points(:,i)); + if length(paths{i}(:))==2 + paths{i} = paths{i-1}; + end +end + +ms = 30; lw = 3; +% display +A = convert_distance_color(D); +clf; hold on; +imageplot(A); axis image; axis off; +for i=1:npaths + end_point = end_points(:,i); + h = plot( paths{i}(2,:), paths{i}(1,:), 'k' ); + set(h, 'LineWidth', lw); + h = plot(end_point(2),end_point(1), '.b'); + set(h, 'MarkerSize', ms); +end +h = plot(start_points(2),start_points(1), '.r'); +set(h, 'MarkerSize', ms); +hold off; +colormap jet(256); +axis ij; +saveas(gcf, [rep name '-geodesics.png'], 'png'); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fast_marching_3d.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fast_marching_3d.m.svn-base new file mode 100644 index 0000000..707adc8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fast_marching_3d.m.svn-base @@ -0,0 +1,23 @@ +% test for fast marching +% +% Copyright (c) 2004 Gabriel Peyré + +n = 40; + +% gaussian weight (path will avoid center of the cube) +x = -1:2/(n-1):1; +[X,Y,Z] = meshgrid(x,x,x); +sigma = 0.4; +W = 1./(1 + exp( -(X.^2+Y.^2+Z.^2)/sigma^2 ) ); + +k = 5; +start_points = [n-k;k;k]; +end_points = [k;n-k;n-k]; + +options.nb_iter_max = Inf; + +[D,S] = perform_fast_marching(W, start_points, options); +path = compute_geodesic(D,end_points); + +% draw the path +plot_fast_marching_3d(D,S,path,start_points,end_points); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fmstar_2d.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fmstar_2d.m.svn-base new file mode 100644 index 0000000..ea078d7 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fmstar_2d.m.svn-base @@ -0,0 +1,123 @@ +% test for the heuristically driven +% Fast Marching algorithm, +% aka FM* +% +% Copyright (c) 2004 Gabriel Peyré + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% speed fonction W + +save_image = 1; + +n = 600; + +rep = 'images/multires/'; +if exist(rep)~=7 + mkdir(rep); +end +rep_eps = [rep 'eps/']; +if exist(rep_eps)~=7 + mkdir(rep_eps); +end + +% type = 'constant'; +energy_type = 'image'; +energy_type = 'edge'; + +propagation_type = 'normal'; +propagation_type = 'circular'; + +geodesic_type = 'group'; +geodesic_type = 'punctual'; +group_witdh = 40; % in pixels + +name = 'bump'; +name = 'cavern'; +name = 'map'; +name = 'mountain'; +name = 'gaussian'; +name = 'cavern'; +name = 'road2'; +name = 'stephanodiscusniagarae'; +name = 'diatom2'; + +[M,W] = load_potential_map(name, n); + + +% pick start/end/center points +if strcmp(propagation_type, 'normal') + [start_point,end_point] = pick_start_end_point(M); +else + [start_point,end_point,center_point] = pick_start_end_point(M); + options.center_point = center_point; +end + +if strcmp(geodesic_type, 'group') + start_points = repmat(start_point, 1, 2*group_witdh+1); + start_points = start_points + [-group_witdh:group_witdh; zeros(1,2*group_witdh+1)]; + + end_points = repmat(end_point, 1, 2*group_witdh+1); + end_points = end_points + [-group_witdh:group_witdh; zeros(1,2*group_witdh+1)]; +else + end_points = end_point; + start_points = start_point; +end + +s = 3; +epsi = 0.000001; +if strcmp(energy_type, 'edge') + if strcmp(propagation_type, 'normal') + W = compute_edge_energy(M, 5); + else + W = compute_edge_energy(M, s, epsi, center_point); + end +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% perform FM* algorithm +weight_list = [0,0.5,0.7,0.8,0.9]; +weight_list = [0,0.5,0.8,0.9,0.95, 1, 1.02, 1.05]; +reduc_factor = 0.8; +k = 0; + +options.propagation_type = propagation_type; +options.Tmax = sum(size(M))*1.2; +options.start_points = start_points; + +clf; +for weight = weight_list + k = k+1; + disp('Performing FM*'); + options.reduc_factor = reduc_factor; + options.weight = weight; + [D,S] = perform_fmstar_2d(W, start_points,end_points, options); + disp('Extracting Paths'); + + % find the end point with minimum action + d = []; + for i=1:size(end_points,2) + d = [d D(end_points(1,i),end_points(2,i))]; + end + [tmp,I] = min(d); + end_point_min = end_points(:,I(1)); + + opt.stepsize = 0.2; + path = compute_geodesic(D,end_point_min, opt); + % subplot(1, length(weight_list), k); + clf; + plot_fast_marching_2d(M,S,path,start_point,end_point_min); + % colormap gray(256); + + if save_image + numstr = sprintf('%.2f', weight); + str = ['fmstar_2d_', name, '_', propagation_type, '_', geodesic_type, '_', numstr]; + saveas(gcf, [rep_eps str '.eps'], 'epsc'); + saveas(gcf, [rep str '.png'], 'png'); + if 0 + warning off; + imwrite(rescale(S), [rep 'STATE_' str '.png'], 'png' ); + warning on; + end + end +end + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fmstar_3d.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fmstar_3d.m.svn-base new file mode 100644 index 0000000..7df8fd7 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fmstar_3d.m.svn-base @@ -0,0 +1,102 @@ +% test for the heuristically driven +% Fast Marching algorithm, +% aka FM* in 3D +% +% Copyright (c) 2004 Gabriel Peyré + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% speed fonction W + +save_image = 0; + +n = 100; + +type = 'heart'; +type = 'constant'; +type = 'gaussian'; + +reduc_factor = 0.5; + +if strcmp(type, 'constant') + W = ones(n,n,n); + W(1) = 0.99; + M = W; +elseif strcmp(type, 'gaussian') + x = -1:2/(n-1):1; + [X,Y,Z] = meshgrid(x,x,x); + sigma = 0.8; + W = 1./(1 + exp( -(X.^2+Y.^2+Z.^2)/sigma^2 ) ); + M = W; +elseif strcmp(type, 'heart') + load('heart1'); + a = [60, 40, 20]; + b = [180,160, 120]; + M = heart1(a(1):b(1),a(2):b(2),a(3):b(3)); + clear heart1; + M = perform_image_resize(M, n,n,n ); + epsi = 0.05; s = 3; + W = compute_edge_energy(M,s,epsi); +end + + +n = length(W); + +k = 5; +AZ = 125; +weight_list = [0,0.5,1,1.1]; +if strcmp(type, 'constant') + start_points = [n/2;n/2;n/2]; + end_points = [k;n-k;n-k]; + weight_list = [0,0.5,1,1.2]; +elseif strcmp(type, 'gaussian') + start_points = [n-k; k; k]; + end_points = [k;n-k;n-k]; + AZ = 125+180; + weight_list = [0,0.5,1,1.1,1.2]; +elseif strcmp(type, 'heart') + AZ = 156; + start_points = [52; 66; 72]; + end_points = [53; 53; 8]; +end + +% plot the data +plot_volumetric_data( M ); +view(AZ, 30); +colormap jet(256); +if save_image + saveas(gcf, ['fmstar_3d_',type, '_map'], 'png'); +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% perform FM* algorithm + +reduc_factor = 1; +clf; +k = 0; +for weight = weight_list + k = k+1; + disp('Performing FM*'); + [D,S] = perform_fmstar_3d(W, start_points,end_points, reduc_factor,weight); + + path = compute_geodesic(D,end_points); + + options.plot_planes = 0; + clf; + plot_fast_marching_3d(M,S,path, start_points, end_points, options); + colormap gray(256); + axis([1 n 1 n 1 n]); + camlight; + view(AZ, 30); + if strcmp(type, 'heart') + colormap jet(256); + end + + if save_image + saveas(gcf, ['fmstar_3d_',type, '_', num2str(k)], 'png'); + end +end + + +% saveas(gcf, ['fmstar_2d_',type], 'eps'); +% saveas(gcf, ['fmstar_2d_',type], 'png'); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fmstar_error.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fmstar_error.m.svn-base new file mode 100644 index 0000000..1999981 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fmstar_error.m.svn-base @@ -0,0 +1,63 @@ +% test for the heuristically driven +% Fast Marching algorithm, +% aka FM* +% +% Copyright (c) 2004 Gabriel Peyré + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% speed fonction W + +save_image = 1; + +n = 600; + +rep = 'images/fmstar_error/'; +if exist(rep)~=7 + mkdir(rep); +end +rep_eps = [rep 'eps/']; +if exist(rep_eps)~=7 + mkdir(rep_eps); +end + +name = 'bump'; +name = 'cavern'; +name = 'map'; +name = 'mountain'; +name = 'cavern'; +name = 'constant'; +name = 'gaussian'; +name = 'road2'; + +[M,W] = load_potential_map(name, n); + + +% pick start/end/center points +[start_points,end_points] = pick_start_end_point(M); +disp('Computing heuristic.'); +[H,S] = perform_fast_marching(W, end_points); +disp('Computing reference distance'); +[D,S] = perform_fast_marching(W, start_points); + + +weight_list = 0:0.1:1.1; + +err = []; +i = 0; +clf; +for w = weight_list + i = i+1; + disp( sprintf('Propagation with weigth %.2f.', w) ); + options.null = 0; + [D1,S] = perform_fast_marching(W, start_points, options, w*H); + err = [err; norme(D-D1) ]; + subplot(3,3,min(i,9)); + imagesc(D-D1); +end + +% plot error progression +clf; +plot( log10(weight_list(2:end)), log10(err(2:end))); +axis tight; +xlabel('log10(\lambda)'); +ylabel('log10(error)'); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fmstar_landmark.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fmstar_landmark.m.svn-base new file mode 100644 index 0000000..15a919c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fmstar_landmark.m.svn-base @@ -0,0 +1,150 @@ +% test for the heuristically driven +% Fast Marching algorithm, +% aka FM* with landmark points +% +% Copyright (c) 2004 Gabriel Peyré + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% speed fonction W + +rep = 'images/landmark_fmstar/'; +if exist(rep)~=7 + mkdir(rep); +end +rep_eps = [rep 'eps/']; +if exist(rep_eps)~=7 + mkdir(rep_eps); +end + +n = 300; + +save_image = 1; +test_type = 'landmarks'; +clear options; + +name = 'stephanodiscusniagarae'; +name = 'map'; +name = 'constant'; +name = 'bump'; +name = 'gaussian'; +name = 'cavern'; +name = 'road2'; +name = 'mountain'; + +[M,W] = load_potential_map(name, n); + + +% pick start/end/center points +nbr_start_points = 25; +if ~exist('start_points') || length(start_points)~=nbr_start_points + for i=1:nbr_start_points + [start_points{i},end_points{i}] = pick_start_end_point(M); + end +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% perform FM* algorithm +landmark_init = 'farthest'; +landmark_init = 'rand'; + +nbr_landmarks_list = [1:1:10, 12:2:20, 25:5:40]; +weight = 1; + +paths = {}; +paths_old = {}; +fronts = {}; + +nbr_paths = length(nbr_landmarks_list); + +options.point_size = 20; +options.end_point_style = 'b.'; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% extraction without heuristic +front_size = zeros(nbr_paths+1, 1); +for s=1:nbr_start_points + options.end_points = end_points{s}; + [D,S] = perform_fast_marching(W, start_points{s}, options); + path_0 = compute_geodesic(D,end_points{s},options); + plot_fast_marching_2d(M,S,path_0, start_points{s}, end_points{s}, options); + if s<=9 + str = [name '_' test_type '_00lanmarks_test' num2str(s)]; + saveas(gcf, [rep_eps str '.eps'], 'eps'); + saveas(gcf, [rep str '.png'], 'png'); + end + front_size(1) = front_size(1) + sum( S(:)<=0 ); +end +front_size(1) = front_size(1)/nbr_start_points; + + +clf; +S_accum = zeros(n); +landmark = []; DL = []; +for i = 1:nbr_paths + nbr_landmarks = nbr_landmarks_list(i); + % update the lanmarks point list + prev_nbr_landmarks = size(landmark,2); + m = nbr_landmarks - prev_nbr_landmarks; + landmark = [landmark, floor( rand(2, m)*(n-1) )+1]; + % update the distance maps + DL2 = DL; DL = zeros(n,n,nbr_landmarks); + if prev_nbr_landmarks>=1 + DL(:,:,1:prev_nbr_landmarks) = DL2; + end + for k = prev_nbr_landmarks+1:nbr_landmarks + DL(:,:,k) = perform_fast_marching(W, landmark(:,k)); + end + % perform the FM* + for s=1:nbr_start_points + options.weight = weight; + options.start_points = start_points{s}; + options.heuristic = compute_heuristic_landmark(DL,end_points{s}); + disp( sprintf('Performing FM*, weight=%d%%, nb.landmarks=%d.', round(100*weight), nbr_landmarks ) ); + [D,S] = perform_fmstar_2d(W, start_points{s},end_points{s}, options); + % size of the front + front_size(i+1) = front_size(i+1) + sum( S(:)<=0 ); + if s==1 + % extract path + path = compute_geodesic(D,end_points{s},options); + num_landmark_str = num2str(nbr_landmarks); + if nbr_landmarks<10 + num_landmark_str = ['0' num_landmark_str]; + end + if 1 % i<=5 + plot_fast_marching_2d(M,S,path, start_points{s}, [end_points{s},landmark], options); + str = [name '_' test_type '_' num_landmark_str 'landmarks']; + saveas(gcf, [rep_eps str '.eps'], 'eps'); + saveas(gcf, [rep str '.png'], 'png'); + end + end + end + front_size(i+1) = front_size(i+1)/nbr_start_points; +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% extraction with exact heuristic +options.heuristic = perform_fast_marching(W, end_points{1}); +options.start_points = start_points{1}; +options.end_points = end_points{1}; +[D,S] = perform_fmstar_2d(W, start_points{1},end_points{1}, options); +path_inf = compute_geodesic(D,end_points{1},options); +plot_fast_marching_2d(M,S,path_inf, start_points{1}, end_points{1}, options); +str = [name '_' test_type '_INFlanmarks']; +saveas(gcf, [rep_eps str '.eps'], 'eps'); +saveas(gcf, [rep str '.png'], 'png'); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% plot the speed up saving +% plot error +x = [0, nbr_landmarks_list]; +y = 100-front_size/front_size(1)*100; +sel = find(x>1 & x<=25); +plot(x(sel), y(sel)); +axis( [min(x(sel)) max(x(sel)), 70, 98] ); +xlabel('Nbr.landmarks'); +ylabel('Computation saving (in %)'); +if save_image + str = [name test_type '_computation_savings']; + saveas(gcf, [rep_eps str '.eps'], 'eps'); + saveas(gcf, [rep str '.png'], 'png'); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fmstar_path_planing.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fmstar_path_planing.m.svn-base new file mode 100644 index 0000000..4f68a2e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fmstar_path_planing.m.svn-base @@ -0,0 +1,80 @@ +% test for constrainted path planing using an heuristic. +% + +save_image = 0; + +name = 'room_big'; % warning : this is a *big* map, expect large computation time. +name = 'room'; % warning : this is a *big* map, expect large computation time. +name = 'room1'; % a small map +map_name = ['data/' name '.png']; + +rep = 'images/'; +rep_eps = 'images/eps/'; + +M = imread(map_name); +M = 1-rescale( double(M) ); +n = size(M,1); + +% number of direction sampled +ntheta = 41; +% size of the object +obj = [0.2,0.03]; + +M1 = generate_constrained_map(M,ntheta,obj,pi); +W = 1-M1+0.001; + +% pick start/end/center points +if ~exist('start_points') + [start_points,end_points] = pick_start_end_point(M); + start_theta = floor(ntheta*rand)+1; % (ntheta+1)/2 + end_theta = floor(ntheta*rand)+1; % (ntheta+1)/2 + start_theta = 1; + end_theta = 1; + start_points = [start_points;start_theta]; + end_points = [end_points;end_theta]; +end + +clear options; +options.nb_iter_max = Inf; +options.end_points = end_points; +disp('Performing 3D front propagation.'); +[D,S] = perform_fast_marching(W, start_points, options); +disp('Extracting shortest path.'); +path = compute_geodesic(D,end_points); +path1(:,3) = (path(:,3)-1)/ntheta*pi; + +clf; +plot_constrained_path_planing(M,path1,obj,40); + + +test_type = 'weight'; +if strcmp(test_type,'weight') + weight_list = [0 0.3 0.5 0.7 0.8 0.9 1 1.1]; + reduc_factor_list = 1 + weight_list*0; +else + reduc_factor_list = 0:0.05:1.1; + weight_list = 0.5 + reduc_factor_list*0; +end + + + + +clf; +nbr_paths = length(weight_list); +for i = 1:nbr_paths + options.reduc_factor = reduc_factor_list(i); + options.weight = weight_list(i); + options.start_points = start_points; + disp( sprintf('Performing FM*, weight=%d%%, resol=%d%%.', round(100*options.weight), round(100*options.reduc_factor)) ); + [D,S] = perform_fmstar_3d(W, start_points,end_points, options); + % extract path + disp('Extracting Paths'); + path = compute_geodesic(D,end_points); + clf; + options.plot_planes = 0; + plot_fast_marching_3d(W,S,path,start_points,end_points, options ); + if save_image + str = [rep name '_front_' num2str( round(weight_list(i)*100) )]; + saveas( gcf, [str '.png'], 'png' ); + end +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fmstar_weight_2d.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fmstar_weight_2d.m.svn-base new file mode 100644 index 0000000..6671e64 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_fmstar_weight_2d.m.svn-base @@ -0,0 +1,166 @@ +% test for the heuristically driven +% Fast Marching algorithm, +% aka FM* +% +% Copyright (c) 2004 Gabriel Peyré + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% speed fonction W + +n = 500; + + +rep = 'images/multires_weight/'; +if exist(rep)~=7 + mkdir(rep); +end +rep_eps = [rep 'eps/']; +if exist(rep_eps)~=7 + mkdir(rep_eps); +end + + +save_image = 1; +test_type = 'resolution'; +test_type = 'weight'; + +name = 'bump'; +name = 'stephanodiscusniagarae'; +name = 'map'; +name = 'cavern'; +name = 'road2'; +name = 'constant'; +name = 'gaussian'; +name = 'mountain'; + +[M,W] = load_potential_map(name, n); + +% pick start/end/center points +if ~exist('start_points') + [start_points,end_points] = pick_start_end_point(M); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% perform FM* algorithm +if strcmp(test_type,'weight') + weight_list = 0:0.05:1; % 1.1; + reduc_factor_list = 1 + weight_list*0; +else + reduc_factor_list = 0.05:0.05:1; + weight_list = 0.5 + reduc_factor_list*0; +end + +paths = {}; +paths_old = {}; +fronts = {}; + +nbr_paths = length(weight_list); + +clf; +S_accum = zeros(n); +front_size = zeros(nbr_paths, 1); +for i = 1:nbr_paths + options.reduc_factor = reduc_factor_list(i); + options.weight = weight_list(i); + options.start_points = start_points; + disp( sprintf('Performing FM*, weight=%d%%, resol=%d%%.', round(100*options.weight), round(100*options.reduc_factor)) ); + [D,S] = perform_fmstar_2d(W, start_points,end_points, options); + S_accum = S_accum + (S+1)/2; + % size of the front + front_size(i) = sum( S(:)<=0 ); + % extract path + disp('Extracting Paths'); + paths{i} = compute_geodesic(D,end_points,options); + if i==1 + plot_fast_marching_2d(M,S,paths{i}, start_points, end_points, options); + end + paths{i} = (paths{i}-1)/n; + % extract front + c_list = perform_curve_extraction(S,0); + fronts{i} = c_list{1}; +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% plot the level sets +clf; +hold on; +x = linspace(0,1,n); +imagesc(x,x,M'); +axis image; +axis off; +plot_curve(fronts, [], 'r', 1); +plot_curve(paths{end}, [], 'b', 2); +hold off; +colormap gray(256); +if 0 % save_image + str = [name '_' test_type '_fronts']; + saveas(gcf, [rep str '.png'], 'png'); + saveas(gcf, [rep_eps str '.eps'], 'epsc'); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% plot the geodesics +clf; +hold on; +x = linspace(0,1,n); +imagesc(x,x,M'); +axis image; +axis off; +plot_curve({paths{2:end}}, [], 'k', 1); +plot_curve(paths{1}, [], 'b', 2); +hold off; +colormap gray(256); +if save_image + str = [name '_' test_type '_paths']; + saveas(gcf, [rep str '.png'], 'png'); + saveas(gcf, [rep_eps str '.eps'], 'epsc'); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% compute the hausdorf distance +err_rms = zeros(nbr_paths, 1); +err_inf = zeros(nbr_paths, 1); +for i=1:nbr_paths + [err_rms(i), err_inf(i)] = compute_hausdorff_distance(paths{i}, paths{1}); +end +% normalize the RMS in % +err = {}; +err{1} = 100 * err_rms / norm( start_points - end_points, 'fro' ); +err{2} = 100 * err_inf / norm( start_points - end_points, 'fro' ); +str1 = {'rms', 'inf'}; +% plot error +for i=1:2 + if strcmp(test_type,'weight') + weight_max = 1; + I = find(weight_list<=weight_max); + plot( weight_list(I)*100, err{i}(I) ); + axis tight; + xlabel('Heuristic (in %)'); + ylabel( ['Hausdorff ' upper(str1{i}) ' (in % B.B.diag.)'] ); + else + plot( reduc_factor_list*100, err{i} ); + axis tight; + xlabel('% reduction'); + ylabel( ['Hausdorff ' upper(str1{i}) ' (in % B.B.diag.)'] ); + end + if save_image + str = [name '_' test_type '_error_' str1{i}]; + saveas(gcf, [rep_eps str '.eps'], 'epsc'); + saveas(gcf, [rep str '.png'], 'png'); + end +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% plot the memory saving +% plot error +if strcmp(test_type,'weight') + plot(weight_list*100, 100-front_size/front_size(1)*100); + axis( [0, max(weight_list*100), 0, 100] ); + xlabel('Heuristic (in %)'); + ylabel('Memory saving (in %)'); + if save_image + str = [name '_' test_type '_memory']; + saveas(gcf, [rep_eps str '.eps'], 'eps'); + saveas(gcf, [rep str '.png'], 'png'); + end +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_geodesic_interpolation.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_geodesic_interpolation.m.svn-base new file mode 100644 index 0000000..b3ea5eb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_geodesic_interpolation.m.svn-base @@ -0,0 +1,116 @@ +% test for data interpolation using geodesic distances + +rep = 'data/'; +rep = ''; + +name = 'mm'; +name = 'cavern'; +name = 'disk'; +name = 'toto'; +name = 'boat'; +name = 'cartoon'; + +clear options; +options.null = 0; + +%% compute a binary shape +n = 300; +if strcmp(name, 'toto') + M0 = load_image([rep name],n); + M = sum(M0,3); + M = 1-(M==M(1)); + % compute the constraint map + CM = zeros(n) + Inf; CM(M==0) = -Inf; + options.constraint_map = CM; % constraint the propagation inside the shape + W = ones(n); + mode = 'interpolation'; +else + n0 = []; + if strcmp(name, 'disk') + n0 = n; + end + if strcmp(name, 'cartoon') + n0 = 400; + end + M = load_image([rep name],n0); + M = rescale(crop(M,n)); M0 = M; + M = rescale(sum(M,3)); + W = compute_edge_energy(M, 1.2); + W = 1./rescale(W,0.001,1); + mode = 'colorization'; +end + +% RGB2COL matrix +CM = rand(3); CM(:,1) = 1; +[CM,R] = qr(CM); CM(:,1) = 1/3; CM = CM'; + +%% pick some points +b = 1; +points = []; +while b==1 + clf; + hold on; + imagesc(rescale(M)); axis image; axis off; + if not(isempty(points)) + plot_scattered(points(end:-1:1,:)); + end + colormap gray(256); axis ij; + hold off; + [y,x,b] = ginput(1); + if b==1 + points(:,end+1) = [x;y]; + end +end +npoints = size(points,2); +% random colors (sqrt to make it more colorfull +f = rand(3,npoints); +f = ( f ./ repmat(sum(f,1),[3, 1]) ).^(1); +% use fixed palette +fc = [1 0 0; 0 1 0; 0 0 1; 1 1 0; 1 0 1; 0 1 1; 0.2 0.7 1; 1 0.2 0.7; 0.7 1 0.2; 0.2 1 0.7]'; +sel = floor(rand(npoints,1)*6)+1; +f = fc(:,sel); + +if strcmp(mode, 'colorization') + % random CbCr + f = CM*f; f = f(2:end,:); +end + +%% perform interpolation +if strcmp(mode, 'colorization') + sigma_list = 0.001/n; + alpha_list = 3; +else + % the smaller, the more interpolation is performed + % the higher, the more diffusion it is + sigma_list = [25 25 25 0.01 0.01 0.01]/n; + % the higher, the more "voronoi"-like it is + alpha_list = [1 3 50 1 3 50]; +end + +nsigma = length(sigma_list); +nrows = 1; +if nsigma>3 + nrows = 2; +end + +clf; +for i=1:nsigma + options.sigma = sigma_list(i); + options.alpha = alpha_list(i); + [A,G] = perform_geodesic_interpolation(W,points,f,options); + + if strcmp(mode, 'colorization') + % cat the luminosity component + A = cat(3, M,A); + A = reshape(A, [n^2 3])'; + A = ( (CM^(-1)) * A )'; + A = reshape( A, [n n 3] ); + end + A = clamp(A); + subplot(nrows,ceil(nsigma/nrows), i); + hold on; + imagesc(rescale(A)); axis image; axis off; axis ij; + plot_scattered(points(end:-1:1,:)); + hold off; + title(['\alpha=' num2str(options.alpha) ', \sigma=' num2str(options.sigma)]); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_geodesic_vs_euclidean.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_geodesic_vs_euclidean.m.svn-base new file mode 100644 index 0000000..c3eb148 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_geodesic_vs_euclidean.m.svn-base @@ -0,0 +1,71 @@ +% compare geodesic with euclidean distance inside a 2D shape + + +rep = 'images/'; +name = 'bird'; +name = 'giraffe'; +name = 'camel'; +name = 'chicken'; + +test = 'meangeodesic'; +test = 'eccentricity'; + +% put s=-1 for Linf eccentricity +s = -1; + +repsrc = 'data/'; + +rep = 'results/geodesic-vs-euclidean/'; +if ~exist(rep) + mkdir(rep); +end + +n = 256; +M = rescale( load_image([repsrc name],n), 0,1 ); +M = double(M>0.5); + +% make sure pixels on the boundary are black +if M(1)==1 + M = 1-M; +end + +% compare the geodesic ditance to the euclidean distance +clf; +imagesc(M); axis image; axis off; +[y,x] = ginput(1); +start_points = round([x y]'); +W = ones(n); +L = zeros(n)-Inf; L(M==1) = +Inf; +options.constraint_map = []; +[D0,S,Q] = perform_fast_marching(W, start_points, options); +options.constraint_map = L; +[D1,S,Q] = perform_fast_marching(W, start_points, options); +D0(M==0) = Inf; D1(M==0) = Inf; + +% compute a nice color image +D0a = convert_distance_color(D0); +D1a = convert_distance_color(D1); + +% place a dot at the center +[Y,X] = meshgrid(1:n,1:n); +r = 0.02*n; +I = find( (X-x).^2 + (Y-y).^2 <= r^2 ); +for i=1:3 + A = D0a(:,:,i); A(I) = i==1; + D0a(:,:,i) = A; + A = D1a(:,:,i); A(I) = i==1; + D1a(:,:,i) = A; +end + + +% display +clf; +subplot(1,2,1) +imagesc(D0a); axis image; axis off; title('Euclidean'); +subplot(1,2,2) +imagesc(D1a); axis image; axis off; title('Geodesic'); + +warning off; +imwrite(rescale(D0a), [rep name '-euclidean.png' ], 'png'); +imwrite(rescale(D1a), [rep name '-geodesic.png' ], 'png'); +warning on; diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_heuristic_mesh.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_heuristic_mesh.m.svn-base new file mode 100644 index 0000000..49189cb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_heuristic_mesh.m.svn-base @@ -0,0 +1,58 @@ +% test for heuristically driven computations on meshes + +n = 300; +repimg = 'results/heuristic-mesh/'; +if exist(repimg)~=7 + mkdir(repimg); +end + + +path(path, '../toolbox_graph/off'); +rep = '../toolbox_graph/off/'; +name = 'nefertiti.off'; +name = 'beetle.off'; +name = 'fandisk.off'; +name = 'david50kf.off'; +name = 'skull.off'; +[vertex,faces] = read_mesh([rep name]); + +if size(vertex,1)>size(vertex,2) + vertex = vertex'; +end +if size(faces,1)>size(faces,2) + faces = faces'; +end + +save_images = 1; + +nverts = max(size(vertex)); +start_points = [1]; +end_points = [2000]; +start_points = start_points(:); + +% compute distance to starting point +[H,Z,Q] = perform_fast_marching_mesh(vertex, faces, end_points); + + +options.end_points = end_points(:); + +lambda = 1; +options.heuristic = lambda*H(:); +[D,Z,Q] = perform_fast_marching_mesh(vertex, faces, start_points, options); + +col = D; +col(col==Inf) = 0; +options.face_vertex_color = col; +clf; +hold on; +plot_mesh(vertex, faces, options); +h = plot3(vertex(1,start_points),vertex(2,start_points), vertex(3,start_points), 'r.'); +set(h, 'MarkerSize', 25); +h = plot3(vertex(1,end_points),vertex(2,end_points), vertex(3,end_points), 'b.'); +set(h, 'MarkerSize', 25); +hold off; +colormap jet(256); +view(0,0); +shading interp; +% lighting none; +camlight; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_influence.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_influence.m.svn-base new file mode 100644 index 0000000..816a66e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_influence.m.svn-base @@ -0,0 +1,37 @@ +% test for computation influence + +n = 30; +W = ones(n); + +x = -1:2/(n-1):1; +[Y,X] = meshgrid(x,x); +sigma = 0.4; +% W = 1./(1 + exp( -(X.^2+Y.^2)/sigma^2 ) ); + +start_points = [3;3]; +end_points = [n-3;7]; +nb_iter_max = Inf; + +[Y,X] = meshgrid(0:1/(n-1):1, 0:1/(n-1):1); +H = sqrt( ( X-X(end_points(1), end_points(2)) ).^2 + ( Y-Y(end_points(1), end_points(2)) ).^2 ); + +[D,S,father] = perform_front_propagation_2d_slow(W,start_points,end_points,nb_iter_max); + +% plot father relations +P = sub2ind(size(W), end_points(1), end_points(2)); +M = zeros(n); +while ~isempty(P) + % pop front + p = P(1); + [i,j] = ind2sub(size(W),p); + P(1) = []; + M(p) = 1; + % add father + f = father(i,j,:); + if f(1)>0 && M(f(1))==0 && isempty(find(P==f(1))) + P = [P,f(1)]; + end + if f(2)>0 && M(f(2))==0 && isempty(find(P==f(2))) + P = [P,f(2)]; + end +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_landmark.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_landmark.m.svn-base new file mode 100644 index 0000000..c2349f8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_landmark.m.svn-base @@ -0,0 +1,164 @@ +% test for landmark heuristic computation + +n = 300; + +rep = 'images/landmark_distance/'; +if exist(rep)~=7 + mkdir(rep); +end +rep_eps = [rep 'eps/']; +if exist(rep_eps)~=7 + mkdir(rep_eps); +end + +name = 'bump'; +name = 'map'; +name = 'mountain'; +name = 'stephanodiscusniagarae'; +name = 'cavern'; +name = 'gaussian'; +name = 'road2'; +name = 'constant'; + +save_images = 0; + +nbr_landmarks = 10; +landmark_init = 'rand'; +landmark_init = 'farthest'; + +[M,W] = load_potential_map(name, n); + +% just a string representing the number of landmarks points +num_str = num2string_fixeddigit(nbr_landmarks, 3); +marker_size = 20; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% pick starting point +if ~exist('start_points') + [start_points,end_points] = pick_start_end_point(M); +end + +disp('Performing front propagation.'); +[D,S] = perform_fast_marching(W, start_points); + +% compute landmark +disp('Initializing Landmarks'); +switch lower(landmark_init) + case 'rand' + landmark = floor( rand(2, nbr_landmarks)*(n-1) )+1; + case 'farthest' + landmark = perform_farthest_point_sampling( W, [], nbr_landmarks ); + case 'farthestboundary' + landmark = perform_farthest_point_sampling_boundary( W, landmark, 1 ); +end + +% compute distance to landmark +DL = zeros(n,n,nbr_landmarks); +for i=1:nbr_landmarks + disp('Performing front propagation.'); + [DL(:,:,i),S] = perform_fast_marching(W, landmark(:,i)); +end + +% compute the approximated distance +[D1,Z] = compute_heuristic_landmark(DL,start_points); + +clf; +if ~save_images + subplot(2,2,1); +end +hold on; +imagesc(W'); +plot_scattered(landmark); +axis tight; axis square; axis off; +hold off; +title('Potential with landmarks'); +colormap jet(256); +if save_images + axis image; axis off; + str = [name '_' num_str 'landmarks_' landmark_init '_potential']; + saveas(gcf, [rep str '.png'], 'png'); + saveas(gcf, [rep_eps str '.eps'], 'eps'); +end + +if ~save_images + subplot(2,2,3); +end +hold on; +imagesc(D'); +contour(D', 'k'); +axis tight; axis square; axis off; +plot(start_points(1,:), start_points(2,:), 'kx', 'MarkerSize', 10); +hold off; +title('Distance to point'); +colormap jet(256); +if save_images + axis image; axis off; + str = [name '_' num_str 'landmarks_' landmark_init '_realdist']; + saveas(gcf, [rep str '.png'], 'png'); + saveas(gcf, [rep_eps str '.eps'], 'eps'); +end + +if ~save_images + subplot(2,2,4); +end +hold on; +imagesc(D1'); +contour(D1', 'k'); +axis tight; axis square; axis off; +plot(start_points(1,:), start_points(2,:), 'kx', 'MarkerSize', 10); +plot(landmark(1,:), landmark(2,:), 'k.', 'MarkerSize', marker_size); +hold off; +title('Approximate distance to point'); +colormap jet(256); +if save_images + axis image; axis off; + str = [name '_' num_str 'landmarks_' landmark_init '_approxdist']; + saveas(gcf, [rep str '.png'], 'png'); + saveas(gcf, [rep_eps str '.eps'], 'eps'); +end + +% str = [rep name '_' num2str(nbr_landmarks) 'landmarks_' landmark_init]; +% saveas(gcf, [str '.png'], 'png'); + +return; + +% plot the influence zones +clf; +hold on; +imagesc(Z'); +plot_scattered(start_points); +axis off; +hold off; +title('Approximate distance to point'); +colormap jet(256); + + + +return; + + +%%% ANIMATION! %%% +r = 0.3; +nb = 200; +i = 0; +for theta = (0:1/nb:1-1/nb)*2*pi + i = i+1; + start_points = 0.5 + r * [cos(theta);sin(theta)]; + start_points = round( start_points*(n-1) )+1; + [D1,Z] = compute_distance_landmark(DL,start_points); + clf; + imagesc(Z); + axis image; + axis off; + colormap jet(256); + + num_str = num2str(i); + if i<10 + num_str = ['0' num_str]; + end + if i<100 + num_str = ['0' num_str]; + end + str = ['anim/' name '_' num_str]; + saveas(gcf, [str '.png'], 'png'); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_landmark_error.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_landmark_error.m.svn-base new file mode 100644 index 0000000..a2c11c3 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_landmark_error.m.svn-base @@ -0,0 +1,247 @@ +% test for influence of sampling strategy on the +% decreasing of the error + + +n = 100; + +rep = 'images/landmark_error/'; +rep_eps = [rep 'eps/']; +if exist(rep)~=7 + mkdir(rep); +end +if exist(rep_eps)~=7 + mkdir(rep_eps); +end + +marker_size = 20; +contour_width = 2; +nb_contours = 12; +save_image = 1; +save_image_eps = 0; + +if ~exist('name') + name = 'bump'; + name = 'map'; + name = 'stephanodiscusniagarae'; + name = 'cavern'; + name = 'gaussian'; + name = 'constant'; + name = 'road2'; + name = 'mountain'; +end + +[M,W] = load_potential_map(name, n); + +switch lower(name) + case 'road2' + A = [0.0352 0.7638; 0.5377 0.4271]; + case 'mountain' + A = [0.1005 0.8442; 0.6332 0.3116]; + case 'constant' + A = [0.1 0.1; 0.7 0.9]; +end + +% get two samples points +if exist('A') + start_points = round(A(:,1)*(n-1)+1); + end_points = round(A(:,2)*(n-1)+1); +else + [start_points,end_points] = pick_start_end_point(M); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% save real distance function +options.end_points = end_points; +[D,S] = perform_fast_marching(W, start_points, options); +path = compute_geodesic(D,end_points); +clf; +plot_fast_marching_2d(M,S,path, start_points, end_points); +% save to file +if save_image + str = [name '_original_path']; + saveas(gcf, [rep str '.png'], 'png'); + if save_image_eps + saveas(gcf, [rep_eps str '.eps'], 'epsc'); + end +end + +% plot distance function +[D,S] = perform_fast_marching(W, end_points); +clf; +hold on; +m = sort(D(:)); m = m(end-10); +imagesc(min(D,m)'); +contour(min(D,m)', nb_contours, 'k', 'LineWidth', contour_width); +axis tight; axis image; axis off; +plot(start_points(1,:), start_points(2,:), 'kx', 'MarkerSize', 10); +hold off; +colormap jet(256); +axis image; axis off; +% save to file +if save_image + str = [name '_original_distance']; + saveas(gcf, [rep str '.png'], 'png'); + if save_image_eps + saveas(gcf, [rep_eps str '.eps'], 'epsc'); + end +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%% base point for error computation %%%%%% +nbr_base_points = 200; +% base point position +base_points = floor( rand(2, nbr_base_points)*n ) + 1; +% record distances to landmarks +DL_base = zeros(n,n,nbr_base_points); +% compute real distance to these base ponts +fprintf('Compute distance to base points '); +for s=1:nbr_base_points + fprintf('.'); + [DL_base(:,:,s),Z] = perform_fast_marching(W, base_points(:,s)); +end +fprintf('\n'); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%% error decreasing %%%%%% +% landmark_init_list = {'farthestboundary','rand', 'farthest','trialerror'}; +landmark_method_list = {'proxy','align'}; +landmark_init_list{1} = {'rand'}; +landmark_init_list{1} = {}; +landmark_init_list{2} = {'rand', 'farthestboundary'}; % 'trialerror' 'farthestboundary' +err_list = {}; +% for recording error +nbr_landmark_list{1} = [5:10:128, 128:32:640]; +nbr_landmark_list{2} = [1, 2:2:32]; +% for recording images +display_list{1} = [65, 128, 256, 384, 512, 640]; +display_list{2} = [1, 2, 4, 8, 16, 32]; + +% performing test +err_list = {}; +err_list_abscice = {}; +lgd = {}; +k = 0; +for k1=1:length(landmark_method_list) +for k2=1:length(landmark_init_list{k1}) + landmark_method = landmark_method_list{k1}; + landmark_init = landmark_init_list{k1}{k2}; + lgd{end+1} = [landmark_method '+' landmark_init]; + + err = []; + % landmark poisition + landmark = []; + % record distances to landmarks + DL_landmark = []; + + for nbr_landmarks=nbr_landmark_list{k1} + + disp( ['Testing method with ' num2str(nbr_landmarks) ' landmarks'] ); + while size(landmark,2)0.5); + +% make sure pixels on the boundary are black +if M(1)==1 + M = 1-M; +end + +warning off; +imwrite(1-M, [rep name '-shape.png'], 'png'); +warning off; + +% compute geodesic distance +clf; +imagesc(M); axis image; axis off; +title('click on a point inside the shape'); +[y,x] = ginput(1); +start_points = round([x y]'); +W = ones(n); +L = zeros(n)-Inf; L(M==1) = +Inf; +options.constraint_map = L; +disp('Compute distance function'); +[D,S,Q] = perform_fast_marching(W, start_points, options); + + +bound = compute_shape_boundary(M); +nbound = size(bound,1); +npaths = 30; +sel = round(linspace(1,nbound+1,npaths+1)); sel(end) = []; +end_points = bound(sel,:); + +disp('Extract paths'); +paths = {}; +D1 = D; D1(M==0) = 1e9; +for i=1:npaths + paths{i} = compute_geodesic(D1,end_points(i,:)'); +% paths{i} = compute_discrete_geodesic(D1,end_points(i,:)')'; +end + +ms = 30; lw = 3; +% display +A = convert_distance_color(D); +clf; hold on; +imageplot(A); axis image; axis off; +for i=1:npaths + end_point = end_points(i,:); + h = plot( paths{i}(2,:), paths{i}(1,:), 'k' ); + set(h, 'LineWidth', lw); + h = plot(end_point(2),end_point(1), '.b'); + set(h, 'MarkerSize', ms); +end +h = plot(start_points(2),start_points(1), '.r'); +set(h, 'MarkerSize', ms); +hold off; +colormap jet(256); +axis ij; +saveas(gcf, [rep name '-geodesics.png'], 'png'); diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_redistancing.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_redistancing.m.svn-base new file mode 100644 index 0000000..0a43f11 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_redistancing.m.svn-base @@ -0,0 +1,34 @@ +% test for the re-distancing of a distance function +n = 256; + +name = 'circle'; +name = 'rectangle'; +name = 'circlerect1'; +name = 'circlerect2'; + +D0 = compute_levelset_shape(name, n); + + +% the modified distance function, should have the same 0 level set +D = (D0.^3) .* (X+n/3); + +options.use_interpolation = 1; +D1 = perform_redistancing(D, options); +options.use_interpolation = 0; +D2 = perform_redistancing(D, options); + +% original +c0 = perform_contour_extraction(D0, 0); +% interpolation +c1 = perform_contour_extraction(D1, 0); +% no interpolation +c2 = perform_contour_extraction(D2, 0); + +clf; +hold on; +plot(c0(1,:),c0(2,:), 'r'); +plot(c1(1,:),c1(2,:), 'g'); +plot(c2(1,:),c2(2,:), 'b'); +legend('Original', 'Interpolation', 'No interpolation'); +axis([0 1 0 1]); +hold off; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_segmentation.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_segmentation.m.svn-base new file mode 100644 index 0000000..8e8f1e9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_segmentation.m.svn-base @@ -0,0 +1,35 @@ +% test for segmentation using front propagation +% +% Copyright (c) 2006 Gabriel Peyré + +n = 200; +map_name = 'data/room.png'; +map_name = 'data/cavern.png'; + + +[W, cm] = imread(map_name); +W = rescale( double(W) ); +W = W.^0.2; % enhance contrast +W = W + 1e-6; % put low speed on background + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% pick starting point +start_points = pick_start_end_point(W); + +options.nb_iter_max = Inf; +options.Tmax = Inf; +disp('Performing front propagation.'); +[D,S] = perform_fast_marching(W, start_points, options); + +T = sum(size(W)); % threshold value +clf; +subplot(1,2,1); +imagesc(W); +title('Map'); +axis image; axis off; +subplot(1,2,2); +imagesc(D>T); +title('Segmented'); +axis image; axis off; +colormap gray(256); + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_skeleton.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_skeleton.m.svn-base new file mode 100644 index 0000000..d5b7202 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_skeleton.m.svn-base @@ -0,0 +1,49 @@ +% test for skeleton and distance transform + + +rep = 'data/'; +name = 'mm'; +name = 'cavern'; +name = 'toto'; + +%% compute a binary shape +n = 200; +Ma = load_image([rep name],n-10); +Ma = sum(Ma,3); +M = zeros(n); +M(6:n-5,6:n-5) = Ma; +mask = 1-(M==M(1)); + +%% compute the skeleton +[skg,rad] = skeleton(mask); +% the higher the threshold, the smaller the skeleton +sk1 = skg>20; + +sk2 = pick_curves(mask); + +sk = {sk1,sk2}; +nsk = length(sk); + +clf; +for i=1:nsk + %% compute euclidean distance to skeleton + [Dsk1,Qsk] = eucdist2(logical(sk{i})); + %% compute the geodesic distance, should not be exactly the same + % positions along the skeleton + [x,y] = ind2sub(size(mask),find(sk{i})); + skpoints = [x(:)';y(:)']; + CM = zeros(n) + Inf; CM(mask==0) = -Inf; + options.constraint_map = CM; % constraint the propagation inside the shape + [Dsk2,Z,Qsk] = perform_fast_marching(ones(n), skpoints, options); + % display + subplot(nsk,3,1+(i-1)*3); + imagesc(mask+sk{i}); axis image; axis off; + title('skeleton'); + subplot(nsk,3,2+(i-1)*3); + imagesc(Dsk1.*mask); axis image; axis off; + title('euclidean distance'); + subplot(nsk,3,3+(i-1)*3); + imagesc(Dsk2.*mask); axis image; axis off; + title('geodesic distance'); +end +colormap jet(256); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_vol3d.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_vol3d.m.svn-base new file mode 100644 index 0000000..0960f13 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_vol3d.m.svn-base @@ -0,0 +1,96 @@ +% volumetric data vizualization + +% load brain1-128.mat +% load brain1-256.mat +load brain1-crop-256.mat + + +rep = 'results/vol3d/'; +if not(exist(rep)) + mkdir(rep); +end + +% save some slices +ilist = round(linspace(1,size(M,3),10)); ilist([1 end]) = []; +warning off; +for i=1:length(ilist) + imwrite(rescale(M(:,:,ilist(i))), [rep 'brain-img-' num2str(i) '.png'], 'png'); +end +warning on; + + +% crop +n = 100; +M = crop(M,n); % (end-n+1:end,end-n+1:end,end-n+1:end); +M = rescale(M); + +clf; +h = vol3d('cdata',M,'texture','2D'); +view(3); axis off; + +center_list = .55;% % .1:.1:.9; +nc = length(center_list); +for i=1:nc + % set up alpha + options.center = center_list(i); + options.sigma = .08; + a = compute_alpha_map('gaussian', options); + colormap bone(256); + vol3d(h); +% saveas(gcf, [rep 'brain-vol3d-' num2str(i) '.png'], 'png'); +end + +n = size(M,1); +% perform fast marching +delta = 5; +clf; +imageplot(M(:,:,delta)); +axis image; axis off; +title('Pick starting point'); +start_point = round( ginput(1) ); +start_point = [start_point(2); start_point(1); delta]; + + +% compute the potential +c = M(start_point(1),start_point(2),start_point(3)); +sigma = .04; +W = exp( -(M-c).^2 / (2*sigma^2) ); +W = rescale(W,.001,1); +options.nb_iter_max = Inf; +fprintf('--> Perform Fast Marching ... '); +[D,S] = perform_fast_marching(W, start_point, options); +disp('done.'); + +% display the interface of the front +clf; +h = vol3d('cdata',rescale(D),'texture','2D'); +view(3); axis off; +vol3d(h); + +center_list = .1; % [.1 .05 .02 .01 .005 .001]; +options.sigma = 0.03; +nc = length(center_list); +for i=1:nc + % set up alpha + options.center = center_list(i); + options.cname = 'jet'; + [a,c] = compute_alpha_map('gaussian', options); + colormap(c); + vol3d(h); +end + +% find an end point +d = D(:,:,n-delta); +[tmp,I] = min(d(:)); +[x,y] = ind2sub(size(d),I); +end_point = [x;y;n-delta]; + +path = compute_discrete_geodesic(D,end_point); + +% draw the path +Dend = D(end_point(1),end_point(2),end_point(3)); +D1 = double( D<=Dend ); +clf; +plot_fast_marching_3d(M,D1,path,start_point,end_point); +view(3); camlight; + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_voronoi_segmentation.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_voronoi_segmentation.m.svn-base new file mode 100644 index 0000000..1a707a9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_voronoi_segmentation.m.svn-base @@ -0,0 +1,69 @@ +% test for precise Voronoi cell extraction on meshes, together with Lloyd relaxation + +clear options; +path(path, 'toolbox/'); +path(path, '../toolbox_graph_data/'); +path(path, '../toolbox_graph_data/off/'); + +% test lloyd algorithm or progressive seeding +test = 'voronoi'; +test = 'lloyd'; + +rep = ['results/' test '-mesh/']; +if not(exist(rep)) + mkdir(rep); +end + + +name = 'david50kf'; +name = 'hand'; +name = 'david_head'; +name = 'bunny'; +name = 'elephant-50kv'; + +options.name = name; +[vertex,faces] = read_mesh(name); + +n = size(vertex,2); + + +if strcmp(test, 'lloyd') + nstart = 100; + niter = 20; +else + nstart = 5; + niter = 8; + nadd = 15; + nmax = nstart + (niter-1)*nadd; +end +start_points = round(rand(nstart,1)*(n-1)+1); + +cm = rand(nmax,3); +cm = rgb2hsv(cm); +cm(:,2) = 1-(1-cm(:,2))/2; +cm = hsv2rgb(cm); + +for i=1:niter + [Q,DQ, ve, edges_id, lambda] = compute_voronoi_mesh(vertex,faces, start_points, options); + % display the sampling + options.voronoi_edges = ve; + options.colorfx = ''; + options.start_points = start_points; + col = Q(:,1); + if strcmp(test, 'voronoi') + col(1) = nmax; + end + plot_fast_marching_mesh(vertex,faces, col, [], options); + colormap(cm); + saveas(gcf, [rep name '-' test '-' num2string_fixeddigit(i,2) '.png'], 'png'); + % update positions + if strcmp(test, 'lloyd') + options.edges_id = edges_id; + options.lambda = lambda; + options.Q = Q; + start_points = perform_lloyd_mesh(vertex,faces, start_points, options); + else + % add new points + start_points = [start_points; round(rand(nadd,1)*(n-1)+1)]; + end +end diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_voronoi_triangulation.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_voronoi_triangulation.m.svn-base new file mode 100644 index 0000000..1663fa3 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/.svn/text-base/test_voronoi_triangulation.m.svn-base @@ -0,0 +1,34 @@ +% test for Voronoi cells extractions + + +n = 300; +name = 'mountain'; +name = 'constant'; + +% number of points +p = 80; +start_points = floor(rand(2,p)*(n-1))+1; + +[M,W] = load_potential_map(name, n); + +[D,Z,Q] = perform_fast_marching(W, start_points); + +clf; +subplot(1,2,1); +hold on; +imagesc(Q'); axis image; axis off; +plot(start_points(1,:), start_points(2,:), 'k.'); +hold off; +subplot(1,2,2); +hold on; +imagesc(D'); axis image; axis off; +plot(start_points(1,:), start_points(2,:), 'k.'); +hold off; + +faces = compute_voronoi_triangulation(Q, vertex); +edges = compute_edges(faces); + +hold on; +imagesc(Q'); axis image; axis off; +plot_edges(edges, start_points, 'k'); +hold off; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_active_contour.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_active_contour.m new file mode 100644 index 0000000..3fe15f7 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_active_contour.m @@ -0,0 +1,89 @@ +% test for active contours +% +% Copyright (c) 2007 Gabriel Peyre + + +options.bound = 'per'; +n = 32; +d = ones(n); +d = rand(n); +d = repmat(d,[1 1 2]); +D = zeros(n^2); +for i=1:n^2 + a = zeros(n); a(i)=1; + a = divgrad(divgrad(a,options)./d,options); + D(:,i) = a(:); +end + +n = 150; + +path(path, 'data/'); +path(path, 'toolbox/'); + +motion = 'affine'; +motion = 'errosion'; +motion = 'chan-vese'; +motion = 'mean'; +motion = 'snake'; + +% load image for active contour +name = 'chan-vese'; +name = 'disk'; +name = 'brain'; +M = rescale( sum( load_image(name, n), 3) ); + + +options.solver = 'grad'; +options.solver = 'cg'; + +%% load original shape +options.null = 0; +if strcmp(motion, 'snake') + namec = 'square'; + options.width = 0.95*n; +elseif strcmp(motion, 'chan-vese') + namec = 'small-disks'; +else + namec = 'circlerect1'; + namec = 'square'; + namec = 'circlerect2'; +end +D0 = compute_levelset_shape(namec, n); + +options.center = [0.15 0.15]*n; +options.radius = 0.1*n; +D1 = compute_levelset_shape('circle', n,options); + + +%% set up the parameters +options.Tmax = 1000; +options.redistance_freq = 150; +options.M = M; +options.dt = 0.1; +options.dt = 3; +options.display_freq = 5; +options.nb_svg = 100; +if strcmp(motion, 'snake') + options.Tmax = 2000; + options.redistance_freq = 30; + options.dt = 1; + % compute edge-based energy + sigma = 4; % blurring size + G = divgrad( perform_blurring(M,sigma) ); + G = sum( G.^2, 3); + eta = 0.01; + E = 1 ./ (eta + G); + options.E = rescale(E, 0.7, 1); +elseif strcmp(motion, 'chan-vese') + options.redistance_freq = 30; + options.E = M; + options.lambda = 0.8; + options.update_c = 0; + options.c1 = 0; + options.c2 = 0.5; + options.dt = 0.2; + options.dt = 2; +end + + +D = perform_active_contour(D0, motion, options); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_anisotropic.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_anisotropic.m new file mode 100644 index 0000000..bbff55b --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_anisotropic.m @@ -0,0 +1,42 @@ +% test for anisotropic propagation in 2D + +name = 'fixed-2d'; +name = 'fixed-3d'; +name = 'varying-2d'; + +rep = 'results/anisotropic-remeshing/'; +if not(exist(rep)) + mkdir(rep); +end + +% spacially varying 2D field +n = 200; +% create 2D vector field +s = [n n 1]; +U = randn(n,n,2); +sigma = 30; +for it=1:10 + U = perform_vf_normalization( perform_blurring(U, sigma) ); +end +U = perform_vf_normalization( U ); + +% test for various degree of anisotropy +% aniso_list = [0.01 0.05 .1 .2 .5 1]; +aniso = .05; + +% 3D field +V = cat(3, -U(:,:,2), U(:,:,1)); % orthogonal vector +T = perform_tensor_recomp(U,V, ones(n),ones(n)*aniso ); +D = perform_fast_marching(T, start_points); + + +clf; +hold on; +options.sub = round(n/15); +options.color = 'k'; +plot_tensor_field(T1, D1, options); +h = plot(start_points(2,:),start_points(1,:), 'r.'); +set(h, 'MarkerSize', 20); +colormap jet(256); + +% saveas(gcf, [rep name '-aniso-' num2str(ianiso) '.png'], 'png'); diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_anisotropic_feth.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_anisotropic_feth.m new file mode 100644 index 0000000..9f63039 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_anisotropic_feth.m @@ -0,0 +1,60 @@ +% test for Fethalah code and Prados code +n = 500; + +rep = 'results/anisotropic-feth/'; +if not(exist(rep)) + mkdir(rep); +end + +%% compute random tensor field +randn('seed', 12345); +U = randn(n,n,2); +sigma = (n/200)*30; +options.bound = 'per'; +for it=1:10 + U = perform_vf_normalization( perform_blurring(U, sigma,options) ); +end +U = perform_vf_normalization( U ); + +aniso_list = [1 .5 .2 .1 .05 .01 .001]; + +p = 5; +x = round( n/(p*2):n/p:n-n/(p*2) ); +[Y,X] = meshgrid(x,x); +% start_points = round( start_points*(n-1)+1 ); +start_points = cat(1, X(:)', Y(:)'); + +s = randperm(size(start_points,2)); +for i=1:length(aniso_list) + + aniso = aniso_list(i); + V = cat(3, -U(:,:,2), U(:,:,1)); % orthogonal vector + T = perform_tensor_recomp(U,V, ones(n),ones(n)*aniso ); + Ti = perform_tensor_recomp(U,V, ones(n),ones(n)*1/aniso ); + + options.use_feth_code = 0; + tic; + [D,S,Q] = perform_fast_marching(T, start_points, options); + disp(['Prados: ' num2str(toc)]); + + hx = 1/n; hy = 1/n; + tic; + [D1,dUx,dUy, Vor, L] = fm2dAniso([hx;hy], Ti, start_points); + disp(['Feth: ' num2str(toc)]); + + imageplot(s(Q), 'Prados', 1,2,1); + imageplot(s(Vor+1), 'Feth', 1,2,2); + colormap jet(256); + saveas(gcf, [rep 'voronoi-' num2str(aniso) '.png'], 'png'); + + clf; + plot_tensor_field(T, perform_histogram_equalization(D, 'linear')); + colormap jet(256); + saveas(gcf, [rep 'distance-aniso-' num2str(aniso) '-prados.png'], 'png'); + + clf; + plot_tensor_field(T, perform_histogram_equalization(D1, 'linear')); + colormap jet(256); + saveas(gcf, [rep 'distance-' num2str(aniso) '-feth.png'], 'png'); + +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_anisotropic_fm.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_anisotropic_fm.m new file mode 100644 index 0000000..f6c1fec --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_anisotropic_fm.m @@ -0,0 +1,220 @@ +% test for a simple anisotropic metric +%name = 'fixed-2d'; +%name = 'fixed-3d'; +name = 'varying-2d'; + +rep = 'results/anisotropic-fm/'; +if not(exist(rep)) + mkdir(rep); +end + +% create the main direction of the field +switch name + case 'fixed-3d' % Fixed 3D tensor field + n = 20; + s = [n n n]; % size + % main direction of the tensor + u = [1 .1 .1]; + U = repmat( reshape(u,1,1,1,3),[n n n 1] ); + case 'fixed-2d' % Fixed 2D tensor field + n = 40; + s = [n n 1]; + % main direction of the tensor + u = [1 .1]; + U = repmat( reshape(u,1,1,2),[n n 1] ); + case 'varying-2d' % spacially varying 2D field + n = 200; + % create 2D vector field + s = [n n 1]; + randn('seed', 12345); + U = randn(n,n,2); + sigma = (n/200)*30; + options.bound = 'per'; + for it=1:10 + U = perform_vf_normalization( perform_blurring(U, sigma,options) ); + end + +end +U = perform_vf_normalization( U ); + +if exist('perform_lic') && size(U,4)==1 + % compute a cool 2D lic texture + options.isoriented = 0; + M0 = perform_blurring(randn(n),0); + M0 = perform_histogram_equalization( M0, 'linear'); + options.histogram = 'linear'; + options.dt = 0.8; options.M0 = M0; + options.verb = 1; options.flow_correction = 1; + options.niter_lic = 1; + w = 15; + w = 30; + M = perform_lic(U, w, options); + warning off; + imwrite( rescale(M), [rep name '-texture.png'], 'png' ); + warning on; +else + M = U; % background image +end + +% test for various degree of anisotropy +aniso_list = [.01 .05 .1 .2 .5 1]; + + +%% test for progressive propagation +aniso = .01; +V = cat(3, -U(:,:,2), U(:,:,1)); % orthogonal vector +T = perform_tensor_recomp(U,V, ones(n),ones(n)*aniso ); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% one starting point and many geodesics on the boundary +start_points = [n;n]/2; +% end points on the boundary +t = 1:n; +x = [t t*0+n t(end-1:-1:1) t*0+1]; +y = [t*0+1 t t*0+n t(end-1:-1:1)]; +npaths = 50; +s = round(linspace( 1,length(x), npaths+1) ); s(end) = []; +end_points = cat(1, x(s),y(s)); + +ms = 30; lw = 3; % display params +for ianiso = 1:length(aniso_list) + + % build the tensor field + aniso = aniso_list(ianiso); + V = cat(3, -U(:,:,2), U(:,:,1)); % orthogonal vector + T = perform_tensor_recomp(U,V, ones(n),ones(n)*aniso ); + % propagation + [D,S,Q] = perform_fast_marching(T, start_points); + % for sexy display + D1 = perform_histogram_equalization(D, linspace(0,1,n^2)); + % extract tons of geodesics + for i=1:npaths + paths{i} = compute_geodesic(D,end_points(:,i), options); + end + % display + clf; hold on; + imageplot(D1); axis image; axis off; colormap jet(256); + for i=1:npaths + end_point = end_points(:,i); + h = plot( paths{i}(2,:), paths{i}(1,:), 'k' ); + set(h, 'LineWidth', lw); + h = plot(end_point(2),end_point(1), '.b'); + set(h, 'MarkerSize', ms); + end + h = plot(start_points(2),start_points(1), '.r'); + set(h, 'MarkerSize', ms); + hold off; + colormap jet(256); + axis ij; + saveas(gcf, [rep name '-geodesics-' num2str(ianiso) '.png'], 'png'); + +end + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% many starting point and Voronoi diagrams +p = 3; +x = n/(p*2):n/p:n-n/(p*2); +[Y,X] = meshgrid(x,x); +start_points = round( start_points*(n-1)+1 ); +start_points = cat(1, X(:)', Y(:)'); + +%% progressive propagation +[D,S,Q] = perform_fast_marching(T, start_points ); +dmax_list = linspace( 0,max(D(:)), 15 ); +dmax_list(1) = []; % dmax_list(end) = Inf; +for i=1:length(dmax_list) + options.dmax = dmax_list(i); + [D,S,Q] = perform_fast_marching(T, start_points, options); + + I = find(D~=Inf); J = find(D==Inf); + D(I) = perform_histogram_equalization(D(I), linspace(0,1,length(I))); + D(J) = 0; + A = apply_colormap(D, 'jet'); + A(J) = M(J); A(J+n^2) = M(J); A(J+2*n^2) = M(J); + + warning off; + imwrite( A, [rep name '-propagation-' num2str(i) '.png'], 'png' ); + warning on; + imageplot(A); drawnow; +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% test for various anisotropy +nstart = 1; +nstart = 40; +if nstart==1 + start_points = [n/2;n/2]; +else + start_points = rand(2,nstart); + start_points(1,:) = rescale(start_points(1,:),.1,.9); + start_points(2,:) = rescale(start_points(2,:),.1,.9); + p = 8; + x = n/(p*2):n/p:n-n/(p*2); + [Y,X] = meshgrid(x,x); + start_points = round( start_points*(n-1)+1 ); + start_points = cat(1, X(:)', Y(:)'); + nstart = size(start_points,2); + start_points = start_points(:,randperm(nstart)); +end +if strcmp(name(end-1:end), '3d') + start_points(end/2) = ceil(s(end)/2); +end + +for ianiso = 1:length(aniso_list) + + aniso = aniso_list(ianiso); + + % use cross product to compute the 2 remaining orthogonal directions + if strcmp(name(end-1:end), '2d') + % 3D field + V = cat(3, -U(:,:,2), U(:,:,1)); % orthogonal vector + T = perform_tensor_recomp(U,V, ones(n),ones(n)*aniso ); + else + % 3D field + U = cat(5, U, randn(s(1),s(2),s(3),3,2)); + U(:,:,:,:,3) = cross( U(:,:,:,:,1),U(:,:,:,:,2), 4 ); + U(:,:,:,:,3) = perform_vf_normalization( U(:,:,:,:,3) ); + U(:,:,:,:,2) = cross( U(:,:,:,:,1),U(:,:,:,:,3), 4 ); + U(:,:,:,:,2) = perform_vf_normalization( U(:,:,:,:,2) ); + Lambda = ones(s(1),s(2),s(3),3); + Lambda(:,:,:,2:3) = aniso; + T = perform_tensor_decomp_3d(U,Lambda); + end + + [D,S,Q] = perform_fast_marching(T, start_points); + + D1 = D(:,:,ceil(s(end)/2)); + if strcmp(name(end-1:end),'3d') + T1 = T(:,:,ceil(s(end)/2), 1:2,1:2); + else + T1 = T; + end + + D1 = perform_histogram_equalization(D1, linspace(0,1,n^2)); + + warning off; + imwrite( apply_colormap(Q, 'jet'), [rep name '-aniso-' num2str(ianiso) '-voronoi.png'], 'png' ); + imwrite( apply_colormap(D1, 'jet'), [rep name '-aniso-' num2str(ianiso) '-distance.png'], 'png' ); + warning on; + + clf; + plot_tensor_field(T1,M); + saveas(gcf, [rep name '-aniso-' num2str(ianiso) '-tensors.png'], 'png'); + + clf; + %hold on; + options.sub = round(n/15); +% options.color = 'k'; +% plot_tensor_field(T1, D1, options); + imageplot(D1); + h = plot(start_points(2,:),start_points(1,:), 'w.'); + set(h, 'MarkerSize', 25); + colormap jet(256); + + % saveas(gcf, [rep name '-aniso-' num2str(ianiso) '.png'], 'png'); + +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_anisotropic_fm_old.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_anisotropic_fm_old.m new file mode 100644 index 0000000..633cee3 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_anisotropic_fm_old.m @@ -0,0 +1,101 @@ +% test for a simple anisotropic metric +name = 'fixed-2d'; +name = 'fixed-3d'; +name = 'varying-2d'; + +rep = 'results/anisotropic-fm/'; +if not(exist(rep)) + mkdir(rep); +end + +% create the main direction of the field +switch name + case 'fixed-3d' % Fixed 3D tensor field + n = 20; + s = [n n n]; % size + % main direction of the tensor + u = [1 .1 .1]; + U = repmat( reshape(u,1,1,1,3),[n n n 1] ); + case 'fixed-2d' % Fixed 2D tensor field + n = 40; + s = [n n 1]; + % main direction of the tensor + u = [1 .1]; + U = repmat( reshape(u,1,1,2),[n n 1] ); + case 'varying-2d' % spacially varying 2D field + n = 200; + % create 2D vector field + s = [n n 1]; + U = randn(n,n,2); + sigma = 30; + for it=1:10 + U = perform_vf_normalization( perform_blurring(U, sigma) ); + end + +end +U = perform_vf_normalization( U ); + + +% test for various degree of anisotropy +aniso_list = [0.01 0.05 .1 .2 .5 1]; + +nstart = 1; +nstart = 8; +if nstart==1 + start_points = [n/2 n/2]; +else + start_points = rand(2,nstart); + start_points(1,:) = rescale(start_points(1,:),.1,.9); + start_points(2,:) = rescale(start_points(2,:),.1,.9); + start_points = round( start_points*(n-1)+1 ); +end +if strcmp(name(end-1:end), '3d') + start_points(end/2) = ceil(s(end)/2); +end + +for ianiso = 1:length(aniso_list) + + aniso = aniso_list(ianiso); + + % use cross product to compute the 2 remaining orthogonal directions + if strcmp(name(end-1:end), '2d') + % 3D field + V = cat(3, -U(:,:,2), U(:,:,1)); % orthogonal vector + T = perform_tensor_recomp(U,V, ones(n),ones(n)*aniso ); + else + % 3D field + U = cat(5, U, randn(s(1),s(2),s(3),3,2)); + U(:,:,:,:,3) = cross( U(:,:,:,:,1),U(:,:,:,:,2), 4 ); + U(:,:,:,:,3) = perform_vf_normalization( U(:,:,:,:,3) ); + U(:,:,:,:,2) = cross( U(:,:,:,:,1),U(:,:,:,:,3), 4 ); + U(:,:,:,:,2) = perform_vf_normalization( U(:,:,:,:,2) ); + Lambda = ones(s(1),s(2),s(3),3); + Lambda(:,:,:,2:3) = aniso; + T = perform_tensor_decomp_3d(U,Lambda); + end + + D = perform_fast_marching(T, start_points); + + D1 = D(:,:,ceil(s(end)/2)); + if strcmp(name(end-1:end),'3d') + T1 = T(:,:,ceil(s(end)/2), 1:2,1:2); + else + T1 = T; + end + + clf; + imageplot(D1); + colormap jet(256); + + clf; + hold on; + options.sub = round(n/15); + options.color = 'k'; + plot_tensor_field(T1, D1, options); + h = plot(start_points(2,:),start_points(1,:), 'r.'); + set(h, 'MarkerSize', 20); + colormap jet(256); + + saveas(gcf, [rep name '-aniso-' num2str(ianiso) '.png'], 'png'); + +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_bending_invariants.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_bending_invariants.m new file mode 100644 index 0000000..0642b8f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_bending_invariants.m @@ -0,0 +1,51 @@ +% computation of bending invariants + + +path(path, 'toolbox/'); + + +disp('Loading mesh.'); +% [vertex,faces] = gen_base_mesh('ico',4); + +path(path, '../toolbox_graph_data/'); +path(path, '../toolbox_graph_data/off/'); + +name = 'fandisk'; +name = 'nefertiti'; +name = 'beetle'; +name = 'david50kf'; +name = 'gargoyle'; +name = 'horse'; +name = 'bunny'; +name = 'elephant-50kv'; +name = 'hand'; +[vertex,faces] = read_mesh(name); + + +options.nlandmarks = 200; +vertex1 = compute_bending_invariant(vertex,faces,options); + + +rep = ['results/bening-invariants/']; +if not(exist(rep)) + mkdir(rep); +end + +% display both the original mesh and the embedding +options.name = name; +clf; +plot_mesh(vertex, faces, options); +shading interp; camlight; +saveas(gcf, [rep name '-original.png'], 'png'); +if strcmp(name, 'david50kf') || strcmp(name, 'hand') + zoom(.9); +end + +clf; +plot_mesh(vertex1, faces, options); +shading interp; camlight; +saveas(gcf, [rep name '-invariant.png'], 'png'); +if strcmp(name, 'david50kf') || strcmp(name, 'hand') + zoom(.9); +end + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_bug.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_bug.m new file mode 100644 index 0000000..9125868 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_bug.m @@ -0,0 +1,50 @@ +% addpath(genpath('fm')); + +m = 10; +S = zeros(m,m,m); S(2:4,2:4,2:4)=1; + +options.null = 0; + +if 0 +options.constraint_map = S; +options.constraint_map(S==0) = -Inf; +options.constraint_map(S~=0) = +Inf; +end + + +% gaussian weight (path will avoid center of the cube) +x = -1:2/(m-1):1; +[X,Y,Z] = meshgrid(x,x,x); +sigma = 0.4; +W = 1./(1 + exp( -(X.^2+Y.^2+Z.^2)/sigma^2 ) ); + +% options.nb_iter_max = Inf; + +W = rescale(S,1e-5,1); +W = rand(m,m,m); +W = rescale(W,.5,1); + + +tic +[D,RS] = perform_fast_marching(W, [2; 2; 2], options); +fprintf(1,'m = %d, time = %f\n', m, toc); + + +return; + +for m=[10 20 50 100] + + S = zeros(m,m,m); S(2:4,2:4,2:4)=1; + + options.constraint_map = S; + options.constraint_map(S==0) = -Inf; + options.constraint_map(S~=0) = +Inf; + + W = rescale(S,1e-5,1); + + tic + [D,RS] = perform_fast_marching(W, [2; 2; 2], options); + fprintf(1,'m = %d, time = %f\n', m, toc); +end + + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_circular.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_circular.m new file mode 100644 index 0000000..4c38edf --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_circular.m @@ -0,0 +1,85 @@ +% test for circular fast marching +% +% Copyright (c) 2004 Gabriel Peyré + +% some parameters +n = 400; +name = 'diatom'; +name = 'amibe'; +name = 'ellipse'; +name = 'surbiscbox'; +name = 'stephanodiscusniagarae'; + +% load test imges +if strcmp(name, 'ellipse') + [Y,X] = meshgrid( -1:2/(n-1):1, -1:2/(n-1):1 ); + ax = 0.8; ay = 0.6; + M = (X/ax).^2 + (Y/ay).^2<1; +else + file_name = ['data/', name, '.png']; + M_original = double( imread(file_name) ); + M_original = rescale(M_original); + M = M_original; +end + +% compute the speed function +epsi = 0.05; +s = 3; +W = compute_edge_energy(M,s,epsi); + +% resize +if 1 +m = n/max(size(M)); +m = round( size(M)*m ); +warning off; +M = perform_image_resize(M,m(1),m(2)); +W = perform_image_resize(W,m(1),m(2)); +warning on; +else + m = size(M); +end + +% pick start/end/center points +[start_points,end_points,center_point] = pick_start_end_point(M); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% scale the metric to avoid shrinkage near zeros +if 1 +[Y,X] = meshgrid(1:m(2), 1:m(1)); +d = sqrt( (X-center_point(1)).^2 + (Y-center_point(2)).^2 ); +d(center_point(1),center_point(2)) = 1e-9; +W = W.*d; +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% perform front propagation +clear options; +options.nb_iter_max = Inf; +options.end_points = end_points; +disp('Performing front propagation.'); +[D,S] = perform_circular_fast_marching_2d(W, start_points, center_point, options); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% extract the path +disp('Extracting path.'); +% end_points = start_points; end_points(2) = end_points(2)-4; +options.Tmax = sum(m)*2; +options.start_points = start_points; +path = compute_geodesic(D,end_points, options); + +% litle cleaning in the path ... +if 0 +d = (path(:,1)-start_points(1)).^2 + (path(:,2)-start_points(2)).^2; +p = length(d); +[tmp,I] = min(d(round(p/2):end)); +path = path(1:(p/2+I(1)), :); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% display +% scale the path so that it fits into the original image +path = (path-1)*size(M,1)/m(1)+1; +start_points = (start_points-1)*size(M,1)/m(1)+1; +end_points = (end_points-1)*size(M,1)/m(1)+1; +plot_fast_marching_2d(M,[],path,start_points,end_points); +colormap gray(256); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_circular_fast_marching_2d.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_circular_fast_marching_2d.m new file mode 100644 index 0000000..042205f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_circular_fast_marching_2d.m @@ -0,0 +1,57 @@ +% test for circular fast marching +% +% Copyright (c) 2004 Gabriel Peyré + +% some parameters +name = 'stephanodiscusniagarae'; + +% load test imges +file_name = ['data/', name, '.jpg']; +M = double( imread(file_name) ); +M = rescale(M); +m = size(M); + +% compute the speed function +W = compute_edge_energy(M); + +% pick start/end/center points +[start_points,end_points,center_point] = pick_start_end_point(M); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% scale the metric to avoid shrinkage near zeros +[Y,X] = meshgrid(1:m(2), 1:m(1)); +d = sqrt( (X-center_point(1)).^2 + (Y-center_point(2)).^2 ); +d(center_point(1),center_point(2)) = 1e-9; +W = W.*d; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% perform front propagation +clear options; +options.nb_iter_max = Inf; +options.end_points = end_points; +disp('Performing front propagation.'); +[D,S] = perform_circular_fast_marching_2d(W, start_points, center_point, options); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% extract the path +disp('Extracting path.'); +% end_points = start_points; end_points(2) = end_points(2)-4; +options.Tmax = sum(m)*2; +path = compute_geodesic(D,end_points, options); + +% litle cleaning in the path ... +if 0 +d = (path(:,1)-start_points(1)).^2 + (path(:,2)-start_points(2)).^2; +p = length(d); +[tmp,I] = min(d(round(p/2):end)); +path = path(1:(p/2+I(1)), :); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% display +% scale the path so that it fits into the original image +path = (path-1)*size(M,1)/m(1)+1; +start_points = (start_points-1)*size(M,1)/m(1)+1; +end_points = (end_points-1)*size(M,1)/m(1)+1; +plot_fast_marching_2d(M,[],path,start_points,end_points); +colormap gray(256); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_circular_prior.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_circular_prior.m new file mode 100644 index 0000000..4591823 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_circular_prior.m @@ -0,0 +1,80 @@ +% test for circular shape priors +% +% Copyright (c) 2004 Gabriel Peyré + +% some parameters +n = 400; +name = 'diatom'; +name = 'surbiscbox'; +name = 'stephanodiscusniagarae'; + +% load test imges +file_name = ['data/', name, '.png']; +M_original = double( imread(file_name) ); +M_original = rescale(M_original); +M = M_original; + +% compute the speed function +W = compute_edge_energy(M); + +% resize +m = n/max(size(M)); +m = round( size(M)*m ); +warning off; +M = perform_image_resize(M,m(1),m(2)); +W = perform_image_resize(W,m(1),m(2)); +warning on; + +% pick start/end/center points +[start_points,end_points,center_point] = pick_start_end_point(M, 1); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% scale the metric to avoid shrinkage near zeros +if 0 +[Y,X] = meshgrid(1:m(2), 1:m(1)); +d = sqrt( (X-center_point(1)).^2 + (Y-center_point(2)).^2 ); +d(center_point(1),center_point(2)) = 1e-9; +W = W.*d; +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% compute heuristic mapping +[Y,X] = meshgrid(1:m(1), 1:m(2)); +r = sqrt( (center_point(1)-start_points(1)).^2 + (center_point(2)-start_points(2)).^2 ); +s = sqrt( (X-start_points(1)).^2 + (Y-start_points(2)).^2 ); +I = find(s>2*r); +H = r*( 2*pi - 2*asin(s/(2*r)) ); +H(I) = pi*r; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% perform front propagation +clear options; +options.nb_iter_max = Inf; +options.end_points = end_points; +disp('Performing front propagation.'); +[D,S] = perform_circular_fast_marching_2d(W, start_points, center_point, options, H); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% extract the path +disp('Extracting path.'); +% end_points = start_points; end_points(2) = end_points(2)-4; +options.Tmax = sum(m)*2; +options.start_points = start_points; +path = compute_geodesic(D,end_points, options); + +% litle cleaning in the path ... +if 0 +d = (path(:,1)-start_points(1)).^2 + (path(:,2)-start_points(2)).^2; +p = length(d); +[tmp,I] = min(d(round(p/2):end)); +path = path(1:(p/2+I(1)), :); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% display +% scale the path so that it fits into the original image +path = (path-1)*size(M,1)/m(1)+1; +start_points = (start_points-1)*size(M,1)/m(1)+1; +end_points = (end_points-1)*size(M,1)/m(1)+1; +plot_fast_marching_2d(M,[],path,start_points,end_points); +colormap gray(256); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_constrained_map.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_constrained_map.m new file mode 100644 index 0000000..8f148a5 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_constrained_map.m @@ -0,0 +1,32 @@ +% test for propagation constrained to a sub-set of points + + +n = 300; +name = 'mountain'; +name = 'constant'; + +% number of points +p = 80; +start_points = floor(rand(2,p)*(n-1))+1; + +x = linspace(-1,1,n); +[Y,X] = meshgrid(x,x); +L = zeros(n)-Inf; +I = find(X.^2 + Y.^2 < 0.6^2); L(I) = Inf; +options.constraint_map = L; + +[M,W] = load_potential_map(name, n); + +[D,Z,Q] = perform_fast_marching(W, start_points, options); + +clf; +subplot(1,2,1); +hold on; +imagesc(Q'); axis image; axis off; +plot(start_points(1,:), start_points(2,:), 'k.'); +hold off; +subplot(1,2,2); +hold on; +imagesc(D'); axis image; axis off; +plot(start_points(1,:), start_points(2,:), 'k.'); +hold off; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_distance_approximation.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_distance_approximation.m new file mode 100644 index 0000000..ddd2bc8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_distance_approximation.m @@ -0,0 +1,233 @@ +% test for influence of sampling strategy on the +% decreasing of the error + +n = 80; + +rep = 'images/distance_approx/'; +rep_eps = [rep 'eps/']; +if exist(rep)~=7 + mkdir(rep); +end +if exist(rep_eps)~=7 + mkdir(rep_eps); +end + +marker_size = 20; +contour_width = 2; +nb_contours = 12; +save_image = 1; +save_image_eps = 0; + +if ~exist('name') + name = 'bump'; + name = 'map'; + name = 'stephanodiscusniagarae'; + name = 'cavern'; + name = 'gaussian'; + name = 'road2'; + name = 'mountain'; + name = 'constant'; +end + +[M,W] = load_potential_map(name, n); + +switch lower(name) + case 'road2' + A = [0.0352 0.7638; 0.5377 0.4271]; + case 'mountain' + A = [0.1005 0.8442; 0.6332 0.3116]; + case 'constant' + A = [0.1 0.1; 0.7 0.9]; +end + +% get two samples points +if exist('A') + start_points = round(A(:,1)*(n-1)+1); + end_points = round(A(:,2)*(n-1)+1); +else + [start_points,end_points] = pick_start_end_point(M); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% save real distance function +D = my_eval_distance(W, end_points); +clf; +hold on; +m = sort(D(:)); m = m(end-10); +imagesc(min(D,m)'); +contour(min(D,m)', nb_contours, 'k', 'LineWidth', contour_width); +axis tight; axis image; axis off; +plot(start_points(1,:), start_points(2,:), 'kx', 'MarkerSize', 10); +hold off; +colormap jet(256); +axis image; axis off; +% save to file +if save_image + str = [name '_original_distance']; + saveas(gcf, [rep str '.png'], 'png'); + if save_image_eps + saveas(gcf, [rep_eps str '.eps'], 'epsc'); + end +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%% base point for error computation %%%%%% +nbr_base_points = 50; +% base point position +base_points = floor( rand(2, nbr_base_points)*n ) + 1; +% record distances to landmarks +DL_base = zeros(n,n,nbr_base_points); +% compute real distance to these base ponts +fprintf('Compute distance to base points '); +for s=1:nbr_base_points + fprintf('.'); + DL_base(:,:,s) = my_eval_distance(W, base_points(:,s)); +end +fprintf('\n'); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%% error decreasing %%%%%% +err_list = {}; +% for recording error +nbr_landmark_list = [16:16:128]; +% for recording images +display_list = [16 32 64 128 256]; +landmark_init_list = {'rand', 'farthestboundary'}; +landmark_init_list = {'rand'}; % 'farthest' 'trialerror' 'farthestboundary' + +% performing test +err_list = {}; +err_list_abscice = {}; +lgd = {}; +k = 0; + +ldm_order_list = 0:5; +err = zeros(length(ldm_order_list), length(nbr_landmark_list)); + +for k=1:length(landmark_init_list) + + landmark_init = landmark_init_list{k}; + + % landmark position + landmark = []; + % record distances to landmarks + DL_landmark = []; + + for t=1:length(nbr_landmark_list) + nbr_landmarks = nbr_landmark_list(t); + + disp( ['Testing method with ' num2str(nbr_landmarks) ' landmarks'] ); + while size(landmark,2)0.5); + +% make sure pixels on the boundary are black +if M(1)==1 + M = 1-M; +end + +% compare the geodesic distance to the euclidean distance +clf; +imagesc(M); axis image; axis off; +title('click on a point inside the shape'); +% [y,x] = ginput(1); +x = 50; y = 50; +start_points = round([x y]'); +W = ones(n); +L = zeros(n)-Inf; L(M==1) = +Inf; +options.constraint_map = []; +[D0,S,Q] = perform_fast_marching(W, start_points, options); +options.constraint_map = L; +[D1,S,Q] = perform_fast_marching(W, start_points, options); +D0(M==0) = 0; D1(M==0) = 0; + +clf; +subplot(1,2,1); +hold on; +display_eccentricity(D0, 1); +h = plot(y,x, 'r.'); +set(h, 'MarkerSize', 20); +axis ij; +title('Euclidean distance'); +subplot(1,2,2); +hold on; +display_eccentricity(D1, 1); +h = plot(y,x, 'r.'); +set(h, 'MarkerSize', 20); +axis ij; +title('Geodesic distance'); + +% saveas(gcf, [rep name '-geodesic-dist.eps'], 'epsc'); + + +options.s = s; +options.nb_samples = 300; % subamples +[E,Ind] = compute_eccentricity_transform(M, options); + +clf; +subplot(1,2,1); +display_eccentricity(E, 1); +title('Eccentricity Transform'); + +if strcmp(method, 'ecc') + [ep,I,J] = unique( Ind(:) ); ep(ep==Inf) = []; + [eccx,eccy] = ind2sub([n n], ep); + J = reshape(J,n,n); + + subplot(1,2,2); + hold on; + imagesc(J); + h = plot(eccy,eccx,'r.'); + set(h, 'MarkerSize', 20); + hold off; + title('Eccentric points'); + axis image; axis off; axis ij; + + % saveas(gcf, [rep name '-' testname '.png'], 'png'); + % saveas(gcf, [rep name '-' testname '.eps'], 'epsc'); + + % subplot(2,2,3); + % display_eccentricity(E, 2); +end + + +% display the histograms +clf; +I = find(E>0); +v = rescale(E(I)); +hist(v, 60); +title('Histogram'); +axis tight; +% saveas(gcf, [rep name '-histogram.eps'], 'epsc'); +saveas(gcf, [rep name '-histogram-' method '.png'], 'png'); + +%% save as pretty images +[Y,X] = meshgrid(1:n,1:n); +r = 0.02*n; +% save shape +warning off; +imwrite( 1-M, [rep name '-shape.png'], 'png' ); +% save eccentricity +E0 = E; E0(M==0) = Inf; +E0 = convert_distance_color(E0); +% place a dot at the center +[tmp,i] = min(E(:) + (E(:)==0)*1e9); [x,y] = ind2sub([n n], i); +I = find( (X-x).^2 + (Y-y).^2 <= r^2 ); +for i=1:3 + A = E0(:,:,i); A(I) = i==1; + E0(:,:,i) = A; + A = E0(:,:,i); A(I) = i==1; + E0(:,:,i) = A; +end +imwrite( E0, [rep name '-shape-' method '.png'], 'png' ); +if strcmp(method, 'ecc') + % save eccentric points + E0 = Ind; + [tmp,a,E0] = unique(E0); E0 = reshape(E0,n,n); + E0(M==0) = Inf; + E0 = convert_distance_color(E0); + for k=1:length(eccx) + I = find( (X-eccx(k)).^2 + (Y-eccy(k)).^2 <= r^2 ); + for i=1:3 + A = E0(:,:,i); A(I) = i==1; + E0(:,:,i) = A; + A = E0(:,:,i); A(I) = i==1; + E0(:,:,i) = A; + end + end + imwrite( E0, [rep name '-shape-eccpoints.png'], 'png' ); + warning on; +end diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_eucldist.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_eucldist.m new file mode 100644 index 0000000..a579069 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_eucldist.m @@ -0,0 +1,5 @@ +% test for euclidean distance + +M = load_image('disk', 128); +M = logical(M); +[D,L] = eucdist2(M); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_farthest_sampling_2d.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_farthest_sampling_2d.m new file mode 100644 index 0000000..6219c75 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_farthest_sampling_2d.m @@ -0,0 +1,143 @@ +% test for farthest point sampling + +n = 300; + +name = 'bump'; +name = 'map'; +name = 'stephanodiscusniagarae'; +name = 'cavern'; +name = 'gaussian'; +name = 'road2'; +name = 'binary'; +name = 'constant'; +name = 'mountain'; +name = 'anisotropic'; + +mask_name = 'disk'; +mask_name = ''; +mask = ones(n); +if not(isempty(mask_name)) + options.radius = .48; + mask = rescale( load_image(mask_name,n,options) ); +end +options.constraint_map = mask; +options.constraint_map(mask>.5) = +Inf; +options.constraint_map(mask<=.5) = -Inf; + + +rep = ['results/farthest-sampling/' name '/']; +if exist(rep)~=7 + mkdir(rep); +end + +if strcmp(name, 'anisotropic') + % anisotropic tensor field + aniso_type = 'fixed'; + aniso_type = 'varying'; + if strcmp(aniso_type, 'fixed') + u = [1 .5]; + U = repmat( reshape(u,1,1,2),[n n 1] ); + elseif strcmp(aniso_type, 'varying') + U = randn(n,n,2); + sigma = 40*(n/200); + for it=1:10 + U = perform_vf_normalization( perform_blurring(U, sigma) ); + end + end + U = perform_vf_normalization( U ); + % 3D field + aniso = .01; + V = cat(3, -U(:,:,2), U(:,:,1)); % orthogonal vector + W = perform_tensor_recomp(U,V, ones(n),ones(n)*aniso ); + if exist('perform_lic') + % compute a cool 2D lic texture + options.isoriented = 0; + M0 = perform_blurring(randn(n),0); + M0 = perform_histogram_equalization( M0, 'linear'); + options.histogram = 'linear'; + options.dt = 0.4; options.M0 = M0; + options.verb = 1; options.flow_correction = 1; + options.niter_lic = 2; + w = 15; + w = 30; + M = perform_lic(U, w, options); + else + M = U; % background image + end + clf; + plot_tensor_field(W,M); + saveas(gcf, [rep name '-tensors.png'], 'png'); +elseif strcmp(name, 'binary') + W = rescale(W,0.5,1); M = W; + M(1) = min(M(:))-.3; M(2) = max(M(:))+.3; +else + [M,W] = load_potential_map(name, n); +end + +warning off; +imwrite(rescale(M), [rep name '-metric.png'], 'png'); +warning on; + + +% plot sampling location +ms = 12; lw = 1.5; +i = 0; + +I = find(mask==1); +[vx vy] = ind2sub(size(W), I(1)); +landmark = [vx;vy]; + + +for nbr_landmarks = [100 200 500 800 1200] % 10 20 40 + i = i+1; + disp('Perform farthest point sampling'); + landmark = perform_farthest_point_sampling( W, landmark, nbr_landmarks-size(landmark,2), options ); + + % compute the associated triangulation + [D,Z,Q] = perform_fast_marching(W, landmark); + + Q1 = zeros(n+2)-1; Q1(2:end-1,2:end-1) = Q; + faces = compute_voronoi_triangulation(Q1,landmark); + edges = compute_edges(faces); + I = find(edges(1,:)>0 & edges(2,:)>0 ); + edges = edges(:,I); + + sel = randperm(nbr_landmarks); % shuffle colors + Q = sel(Q); + + clf; + hold on; + imageplot(Q'); + plot(landmark(1,:), landmark(2,:), 'r.', 'MarkerSize', ms); + colormap jet(256); + hold off; + saveas(gcf, [rep name '-voronoi-' num2string_fixeddigit(nbr_landmarks,3) '.png'], 'png'); + + % display sampling + distance + D = perform_histogram_equalization(D,linspace(0,1,n^2)); + clf; + hold on; + imageplot(D'); + plot(landmark(1,:), landmark(2,:), 'r.', 'MarkerSize', ms); + hold off; + colormap jet(256); + saveas(gcf, [rep name '-sampling-' num2string_fixeddigit(nbr_landmarks,3) '.png'], 'png'); + + % display triangulation + clf; + hold on; + if strcmp(name, 'anisotropic') && ~exist('perform_lic') + plot_tensor_field(W, M); + else + imageplot( M'); + end + if not(isempty(edges)) + h = plot_edges(edges, landmark, 'b'); + set(h, 'LineWidth',lw); + end + plot(landmark(1,:), landmark(2,:), 'r.', 'MarkerSize', ms); + hold off; + axis tight; axis image; axis off; + colormap gray(256); + saveas(gcf, [rep name '-triangulation-' num2string_fixeddigit(nbr_landmarks,3) '.png'], 'png'); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_farthest_sampling_3d.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_farthest_sampling_3d.m new file mode 100644 index 0000000..5672bd9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_farthest_sampling_3d.m @@ -0,0 +1,97 @@ +% test for farthest point sampling for volumetric mesh + +n = 150; + +name = 'constant'; +name = 'central'; +name = 'sphere'; +name = 'medical'; + +rep = ['results/farthest-sampling-3d/' name '/']; +if exist(rep)~=7 + mkdir(rep); +end + +switch name + case 'constant' + W = ones(n,n,n); + case {'central' 'sphere'} + x = linspace(-1,1,n); + [X,Y,Z] = meshgrid(x, x, x); + W = sqrt( X.^2+Y.^2+Z.^2 ); + if strcmp(name, 'sphere') + r = .6; + W = rescale( -(W<=r) ); + end + W = rescale(W,.1,1); + case 'medical' + load brain1-crop-256.mat + M = crop(M,n); + W = rescale(-abs(M-median(M(:)))); + W = rescale( clamp(W,.6,1),.2,1); + otherwise + error('Unknown potential'); +end + +method = 'geodesic'; +method = 'delaunay'; + +% padd to treat correctly boundary +if strcmp(method, 'geodesic') + k = 10; + W1 = perform_image_extension(W,n+2*k, '2side'); +end + +% plot sampling location +ms = 20; lw = 3; +i = 0; +for npoints = [400 800 1600 3000 5000 10000] + i = i+1; + disp('Perform farthest point sampling'); + if i==1 + [x,y,z] = meshgrid([1 n], [1 n], [1 n]); + vertex = cat(1, x(:)', y(:)', z(:)'); + end + vertex = perform_farthest_point_sampling( W, vertex, npoints-size(vertex,2) ); + + % display sampling + clf; + hold on; + h = imageplot(W); + view(60,30); zoom(.8); camlight; + alphamap(linspace(0,.1,100)); vol3d(h); + h = plot3(vertex(1,:),vertex(2,:),vertex(3,:), '.'); + set(h, 'MarkerSize', ms); + hold off; + saveas(gcf, [rep name '-sampling-' num2string_fixeddigit(npoints,5) '.png'], 'png'); + + % compute the associated triangulation + if strcmp(method, 'delaunay') + faces = delaunay3(vertex(1,:),vertex(2,:),vertex(3,:))'; + else + vertex1 = vertex+k; + [D,Z,Q] = perform_fast_marching(W1, vertex1); + faces = compute_voronoi_triangulation(Q,vertex); + end + + + w = [1 1 1]; w = w(:)/sqrt(sum(w.^2)); + t = sum(vertex.*repmat(w,[1 size(vertex,2)])); + delta = max(t)-min(t); + offlist = linspace( min(t(:)) + .3*delta, max(t(:)) - .3*delta, 5 ); + for i=1:length(offlist) + options.cutting_plane = w; + options.cutting_offs = offlist(i); + clf; + hold on; + %h = imageplot(W); + %alphamap(linspace(0,.1,100)); + plot_mesh(vertex,faces, options); + % set(h{2}, 'Marker', 'r.'); + view(60,30); zoom(.8); camlight; + % vol3d(h); + hold off; + saveas(gcf, [rep name '-sampling-' num2string_fixeddigit(npoints,5) '-mesh-' num2str(i) '.png'], 'png'); + end + +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_farthest_sampling_mesh.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_farthest_sampling_mesh.m new file mode 100644 index 0000000..cd59f0d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_farthest_sampling_mesh.m @@ -0,0 +1,82 @@ +% test for farthest point sampling on 3D meshes + +n = 300; +repimg = 'results/farthest-sampling-mesh/'; +if exist(repimg)~=7 + mkdir(repimg); +end + + +path(path, '../toolbox_graph_data/off/'); +name = 'nefertiti'; +name = 'beetle'; +name = 'fandisk'; +name = 'david50kf'; +name = 'brain'; +name = 'pelvis'; +[vertex,faces] = read_mesh(name); +options.name = name; + +if size(vertex,1)>size(vertex,2) + vertex = vertex'; +end +if size(faces,1)>size(faces,2) + faces = faces'; +end + +if strcmp(name, 'brain') + % remove half of the vertices + [tmp,I] = sort(vertex(3,:), 2, 'descend'); + J = reverse_permutation(I); + vertex = vertex(:,I); + faces = J(faces); + n = size(vertex,2); n = round(n/2); + vertex = vertex(:,1:n); + faces = faces(:,sum(faces>n)==0); +end + + +save_images = 1; + +% plot sampling location +i = 0; +landmark = []; +for nbr_landmarks = [200 500 1000 2000 5000 10000] % 100:50:500 + i = i+1; + + disp('Perform farthest point sampling.'); + landmark = perform_farthest_point_sampling_mesh( vertex,faces, landmark, nbr_landmarks-length(landmark) ); + + % compute the associated triangulation + [D,Z,Q] = perform_fast_marching_mesh(vertex, faces, landmark); + [vertex_voronoi,faces_voronoi] = compute_voronoi_triangulation_mesh(Q,vertex,faces); + options.method = 'fast'; + options.method = 'slow'; + faces_voronoi = perform_faces_reorientation(vertex_voronoi,faces_voronoi, options); + + % display + col = D; col(col==Inf) = 0; +% options.face_vertex_color = col; + clf; + hold on; + plot_mesh(vertex, faces, options); + h = plot3(vertex_voronoi(1,:),vertex_voronoi(2,:),vertex_voronoi(3,:), 'r.'); + set(h, 'MarkerSize', 20); + hold off; + colormap gray(256); + shading interp; + camlight; + + if save_images + saveas(gcf, [repimg name '-sampling-' num2string_fixeddigit(nbr_landmarks,4) '.png'], 'png'); + end + + clf; + plot_mesh(vertex_voronoi,faces_voronoi, options); + shading faceted; lighting flat; + camlight; + + if save_images + saveas(gcf, [repimg name '-remeshing-' num2string_fixeddigit(nbr_landmarks,4) '.png'], 'png'); + end +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_farthest_sampling_shape.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_farthest_sampling_shape.m new file mode 100644 index 0000000..3a89bb4 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_farthest_sampling_shape.m @@ -0,0 +1,84 @@ +% test for meshing the inside of an object + +path(path,'toolbox/'); +path(path,'data/'); +name = 'mm'; +n = 400; +Ma = load_image(name,n-10); +Ma = rescale(abs(Ma)); + +% to avoid that the shape touches the boundary +M = zeros(n,n,3); +M(6:n-5,6:n-5,:) = Ma; + +repimg = 'results/meshing-shape/'; +if ~exist(repimg) + mkdir(repimg); +end + + +M1 = mean(M,3); +mask = 1-(M1==M1(1)); + + +boundary = compute_shape_boundary(mask)'; +Ibound = boundary(1,:) + (boundary(2,:)-1)*n; +for k=1:size(M,3) + Ma = M(:,:,k); + Ma(M1<=0) = 1; + Ma(Ibound) = 1; + M(:,:,k) = Ma; +end + +% number of samples for the mesh +if not(exist('p')) + p = 400; +end +% use an adaptive distance field +if not(exist('use_adaptive')) + use_adaptive = 1; +end + +if use_adaptive + % compute boundary points + boundary = compute_shape_boundary(mask)'; + % compute distance to boundary + [D,Z,Q] = perform_fast_marching(ones(n), boundary); + % set up a distancing field + R = 0.8; + D1 = min(rescale(D),R); + H = sqrt( R^2 - (D1-R).^2 ) * n; + W = rescale( D, 0.1,1 ); +else + W = ones(n); +end + + + +%% perform sampling using farthest point +L = zeros(n) - Inf; +I = find(mask); L(I) = Inf; +vertex = [n/2;n/2]; +options.constraint_map = L; +vertex = perform_farthest_point_sampling(W, vertex, p, options ); + +%% compute the associated triangulation +[D,Z,Q] = perform_fast_marching(W, vertex, options); +faces = compute_voronoi_triangulation(Q, vertex); + +%% display +clf; +hold on; +imagesc(rescale(M)); axis image; axis off; +plot_edges(compute_edges(faces), vertex(2:-1:1,:), 'r'); +plot(vertex(2,:), vertex(1,:), 'b.', 'MarkerSize', 8); +hold off; +axis tight; axis image; axis off; +colormap gray(256); +axis ij; + +str = [name '-mesh-' num2str(p)]; +if use_adaptive + str = [str '-adaptive']; +end +saveas(gcf, [repimg str '.png'], 'png'); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fast_marching_2d.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fast_marching_2d.m new file mode 100644 index 0000000..b7ddec2 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fast_marching_2d.m @@ -0,0 +1,56 @@ +% test for fast marching and geodesic extraction +% +% Copyright (c) 2004 Gabriel Peyré + +n = 600; +name = 'road2'; +name = 'constant'; +name = 'mountain'; +[M,W] = load_potential_map(name, n); + +rep = 'results/geodesic-2d/'; +if not(exist(rep)) + mkdir(rep); +end + +warning off; +imwrite(rescale(W), [rep name '-map.png'], 'png'); +warning on; + +% pick starting point +[start_points] = pick_start_end_point(M); + +options.nb_iter_max = Inf; +disp('Performing front propagation.'); +[D,S] = perform_fast_marching(W, start_points, options); + +npaths = 30; +end_points = floor( rand(npaths,2)*(n-1) )+1; + +disp('Extract paths'); +paths = {}; +for i=1:npaths + paths{i} = compute_geodesic(D,end_points(:,i)); + if length(paths{i}(:))==2 + paths{i} = paths{i-1}; + end +end + +ms = 30; lw = 3; +% display +A = convert_distance_color(D); +clf; hold on; +imageplot(A); axis image; axis off; +for i=1:npaths + end_point = end_points(:,i); + h = plot( paths{i}(2,:), paths{i}(1,:), 'k' ); + set(h, 'LineWidth', lw); + h = plot(end_point(2),end_point(1), '.b'); + set(h, 'MarkerSize', ms); +end +h = plot(start_points(2),start_points(1), '.r'); +set(h, 'MarkerSize', ms); +hold off; +colormap jet(256); +axis ij; +saveas(gcf, [rep name '-geodesics.png'], 'png'); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fast_marching_3d.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fast_marching_3d.m new file mode 100644 index 0000000..707adc8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fast_marching_3d.m @@ -0,0 +1,23 @@ +% test for fast marching +% +% Copyright (c) 2004 Gabriel Peyré + +n = 40; + +% gaussian weight (path will avoid center of the cube) +x = -1:2/(n-1):1; +[X,Y,Z] = meshgrid(x,x,x); +sigma = 0.4; +W = 1./(1 + exp( -(X.^2+Y.^2+Z.^2)/sigma^2 ) ); + +k = 5; +start_points = [n-k;k;k]; +end_points = [k;n-k;n-k]; + +options.nb_iter_max = Inf; + +[D,S] = perform_fast_marching(W, start_points, options); +path = compute_geodesic(D,end_points); + +% draw the path +plot_fast_marching_3d(D,S,path,start_points,end_points); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fmstar_2d.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fmstar_2d.m new file mode 100644 index 0000000..ea078d7 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fmstar_2d.m @@ -0,0 +1,123 @@ +% test for the heuristically driven +% Fast Marching algorithm, +% aka FM* +% +% Copyright (c) 2004 Gabriel Peyré + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% speed fonction W + +save_image = 1; + +n = 600; + +rep = 'images/multires/'; +if exist(rep)~=7 + mkdir(rep); +end +rep_eps = [rep 'eps/']; +if exist(rep_eps)~=7 + mkdir(rep_eps); +end + +% type = 'constant'; +energy_type = 'image'; +energy_type = 'edge'; + +propagation_type = 'normal'; +propagation_type = 'circular'; + +geodesic_type = 'group'; +geodesic_type = 'punctual'; +group_witdh = 40; % in pixels + +name = 'bump'; +name = 'cavern'; +name = 'map'; +name = 'mountain'; +name = 'gaussian'; +name = 'cavern'; +name = 'road2'; +name = 'stephanodiscusniagarae'; +name = 'diatom2'; + +[M,W] = load_potential_map(name, n); + + +% pick start/end/center points +if strcmp(propagation_type, 'normal') + [start_point,end_point] = pick_start_end_point(M); +else + [start_point,end_point,center_point] = pick_start_end_point(M); + options.center_point = center_point; +end + +if strcmp(geodesic_type, 'group') + start_points = repmat(start_point, 1, 2*group_witdh+1); + start_points = start_points + [-group_witdh:group_witdh; zeros(1,2*group_witdh+1)]; + + end_points = repmat(end_point, 1, 2*group_witdh+1); + end_points = end_points + [-group_witdh:group_witdh; zeros(1,2*group_witdh+1)]; +else + end_points = end_point; + start_points = start_point; +end + +s = 3; +epsi = 0.000001; +if strcmp(energy_type, 'edge') + if strcmp(propagation_type, 'normal') + W = compute_edge_energy(M, 5); + else + W = compute_edge_energy(M, s, epsi, center_point); + end +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% perform FM* algorithm +weight_list = [0,0.5,0.7,0.8,0.9]; +weight_list = [0,0.5,0.8,0.9,0.95, 1, 1.02, 1.05]; +reduc_factor = 0.8; +k = 0; + +options.propagation_type = propagation_type; +options.Tmax = sum(size(M))*1.2; +options.start_points = start_points; + +clf; +for weight = weight_list + k = k+1; + disp('Performing FM*'); + options.reduc_factor = reduc_factor; + options.weight = weight; + [D,S] = perform_fmstar_2d(W, start_points,end_points, options); + disp('Extracting Paths'); + + % find the end point with minimum action + d = []; + for i=1:size(end_points,2) + d = [d D(end_points(1,i),end_points(2,i))]; + end + [tmp,I] = min(d); + end_point_min = end_points(:,I(1)); + + opt.stepsize = 0.2; + path = compute_geodesic(D,end_point_min, opt); + % subplot(1, length(weight_list), k); + clf; + plot_fast_marching_2d(M,S,path,start_point,end_point_min); + % colormap gray(256); + + if save_image + numstr = sprintf('%.2f', weight); + str = ['fmstar_2d_', name, '_', propagation_type, '_', geodesic_type, '_', numstr]; + saveas(gcf, [rep_eps str '.eps'], 'epsc'); + saveas(gcf, [rep str '.png'], 'png'); + if 0 + warning off; + imwrite(rescale(S), [rep 'STATE_' str '.png'], 'png' ); + warning on; + end + end +end + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fmstar_3d.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fmstar_3d.m new file mode 100644 index 0000000..7df8fd7 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fmstar_3d.m @@ -0,0 +1,102 @@ +% test for the heuristically driven +% Fast Marching algorithm, +% aka FM* in 3D +% +% Copyright (c) 2004 Gabriel Peyré + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% speed fonction W + +save_image = 0; + +n = 100; + +type = 'heart'; +type = 'constant'; +type = 'gaussian'; + +reduc_factor = 0.5; + +if strcmp(type, 'constant') + W = ones(n,n,n); + W(1) = 0.99; + M = W; +elseif strcmp(type, 'gaussian') + x = -1:2/(n-1):1; + [X,Y,Z] = meshgrid(x,x,x); + sigma = 0.8; + W = 1./(1 + exp( -(X.^2+Y.^2+Z.^2)/sigma^2 ) ); + M = W; +elseif strcmp(type, 'heart') + load('heart1'); + a = [60, 40, 20]; + b = [180,160, 120]; + M = heart1(a(1):b(1),a(2):b(2),a(3):b(3)); + clear heart1; + M = perform_image_resize(M, n,n,n ); + epsi = 0.05; s = 3; + W = compute_edge_energy(M,s,epsi); +end + + +n = length(W); + +k = 5; +AZ = 125; +weight_list = [0,0.5,1,1.1]; +if strcmp(type, 'constant') + start_points = [n/2;n/2;n/2]; + end_points = [k;n-k;n-k]; + weight_list = [0,0.5,1,1.2]; +elseif strcmp(type, 'gaussian') + start_points = [n-k; k; k]; + end_points = [k;n-k;n-k]; + AZ = 125+180; + weight_list = [0,0.5,1,1.1,1.2]; +elseif strcmp(type, 'heart') + AZ = 156; + start_points = [52; 66; 72]; + end_points = [53; 53; 8]; +end + +% plot the data +plot_volumetric_data( M ); +view(AZ, 30); +colormap jet(256); +if save_image + saveas(gcf, ['fmstar_3d_',type, '_map'], 'png'); +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% perform FM* algorithm + +reduc_factor = 1; +clf; +k = 0; +for weight = weight_list + k = k+1; + disp('Performing FM*'); + [D,S] = perform_fmstar_3d(W, start_points,end_points, reduc_factor,weight); + + path = compute_geodesic(D,end_points); + + options.plot_planes = 0; + clf; + plot_fast_marching_3d(M,S,path, start_points, end_points, options); + colormap gray(256); + axis([1 n 1 n 1 n]); + camlight; + view(AZ, 30); + if strcmp(type, 'heart') + colormap jet(256); + end + + if save_image + saveas(gcf, ['fmstar_3d_',type, '_', num2str(k)], 'png'); + end +end + + +% saveas(gcf, ['fmstar_2d_',type], 'eps'); +% saveas(gcf, ['fmstar_2d_',type], 'png'); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fmstar_error.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fmstar_error.m new file mode 100644 index 0000000..1999981 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fmstar_error.m @@ -0,0 +1,63 @@ +% test for the heuristically driven +% Fast Marching algorithm, +% aka FM* +% +% Copyright (c) 2004 Gabriel Peyré + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% speed fonction W + +save_image = 1; + +n = 600; + +rep = 'images/fmstar_error/'; +if exist(rep)~=7 + mkdir(rep); +end +rep_eps = [rep 'eps/']; +if exist(rep_eps)~=7 + mkdir(rep_eps); +end + +name = 'bump'; +name = 'cavern'; +name = 'map'; +name = 'mountain'; +name = 'cavern'; +name = 'constant'; +name = 'gaussian'; +name = 'road2'; + +[M,W] = load_potential_map(name, n); + + +% pick start/end/center points +[start_points,end_points] = pick_start_end_point(M); +disp('Computing heuristic.'); +[H,S] = perform_fast_marching(W, end_points); +disp('Computing reference distance'); +[D,S] = perform_fast_marching(W, start_points); + + +weight_list = 0:0.1:1.1; + +err = []; +i = 0; +clf; +for w = weight_list + i = i+1; + disp( sprintf('Propagation with weigth %.2f.', w) ); + options.null = 0; + [D1,S] = perform_fast_marching(W, start_points, options, w*H); + err = [err; norme(D-D1) ]; + subplot(3,3,min(i,9)); + imagesc(D-D1); +end + +% plot error progression +clf; +plot( log10(weight_list(2:end)), log10(err(2:end))); +axis tight; +xlabel('log10(\lambda)'); +ylabel('log10(error)'); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fmstar_landmark.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fmstar_landmark.m new file mode 100644 index 0000000..15a919c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fmstar_landmark.m @@ -0,0 +1,150 @@ +% test for the heuristically driven +% Fast Marching algorithm, +% aka FM* with landmark points +% +% Copyright (c) 2004 Gabriel Peyré + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% speed fonction W + +rep = 'images/landmark_fmstar/'; +if exist(rep)~=7 + mkdir(rep); +end +rep_eps = [rep 'eps/']; +if exist(rep_eps)~=7 + mkdir(rep_eps); +end + +n = 300; + +save_image = 1; +test_type = 'landmarks'; +clear options; + +name = 'stephanodiscusniagarae'; +name = 'map'; +name = 'constant'; +name = 'bump'; +name = 'gaussian'; +name = 'cavern'; +name = 'road2'; +name = 'mountain'; + +[M,W] = load_potential_map(name, n); + + +% pick start/end/center points +nbr_start_points = 25; +if ~exist('start_points') || length(start_points)~=nbr_start_points + for i=1:nbr_start_points + [start_points{i},end_points{i}] = pick_start_end_point(M); + end +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% perform FM* algorithm +landmark_init = 'farthest'; +landmark_init = 'rand'; + +nbr_landmarks_list = [1:1:10, 12:2:20, 25:5:40]; +weight = 1; + +paths = {}; +paths_old = {}; +fronts = {}; + +nbr_paths = length(nbr_landmarks_list); + +options.point_size = 20; +options.end_point_style = 'b.'; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% extraction without heuristic +front_size = zeros(nbr_paths+1, 1); +for s=1:nbr_start_points + options.end_points = end_points{s}; + [D,S] = perform_fast_marching(W, start_points{s}, options); + path_0 = compute_geodesic(D,end_points{s},options); + plot_fast_marching_2d(M,S,path_0, start_points{s}, end_points{s}, options); + if s<=9 + str = [name '_' test_type '_00lanmarks_test' num2str(s)]; + saveas(gcf, [rep_eps str '.eps'], 'eps'); + saveas(gcf, [rep str '.png'], 'png'); + end + front_size(1) = front_size(1) + sum( S(:)<=0 ); +end +front_size(1) = front_size(1)/nbr_start_points; + + +clf; +S_accum = zeros(n); +landmark = []; DL = []; +for i = 1:nbr_paths + nbr_landmarks = nbr_landmarks_list(i); + % update the lanmarks point list + prev_nbr_landmarks = size(landmark,2); + m = nbr_landmarks - prev_nbr_landmarks; + landmark = [landmark, floor( rand(2, m)*(n-1) )+1]; + % update the distance maps + DL2 = DL; DL = zeros(n,n,nbr_landmarks); + if prev_nbr_landmarks>=1 + DL(:,:,1:prev_nbr_landmarks) = DL2; + end + for k = prev_nbr_landmarks+1:nbr_landmarks + DL(:,:,k) = perform_fast_marching(W, landmark(:,k)); + end + % perform the FM* + for s=1:nbr_start_points + options.weight = weight; + options.start_points = start_points{s}; + options.heuristic = compute_heuristic_landmark(DL,end_points{s}); + disp( sprintf('Performing FM*, weight=%d%%, nb.landmarks=%d.', round(100*weight), nbr_landmarks ) ); + [D,S] = perform_fmstar_2d(W, start_points{s},end_points{s}, options); + % size of the front + front_size(i+1) = front_size(i+1) + sum( S(:)<=0 ); + if s==1 + % extract path + path = compute_geodesic(D,end_points{s},options); + num_landmark_str = num2str(nbr_landmarks); + if nbr_landmarks<10 + num_landmark_str = ['0' num_landmark_str]; + end + if 1 % i<=5 + plot_fast_marching_2d(M,S,path, start_points{s}, [end_points{s},landmark], options); + str = [name '_' test_type '_' num_landmark_str 'landmarks']; + saveas(gcf, [rep_eps str '.eps'], 'eps'); + saveas(gcf, [rep str '.png'], 'png'); + end + end + end + front_size(i+1) = front_size(i+1)/nbr_start_points; +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% extraction with exact heuristic +options.heuristic = perform_fast_marching(W, end_points{1}); +options.start_points = start_points{1}; +options.end_points = end_points{1}; +[D,S] = perform_fmstar_2d(W, start_points{1},end_points{1}, options); +path_inf = compute_geodesic(D,end_points{1},options); +plot_fast_marching_2d(M,S,path_inf, start_points{1}, end_points{1}, options); +str = [name '_' test_type '_INFlanmarks']; +saveas(gcf, [rep_eps str '.eps'], 'eps'); +saveas(gcf, [rep str '.png'], 'png'); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% plot the speed up saving +% plot error +x = [0, nbr_landmarks_list]; +y = 100-front_size/front_size(1)*100; +sel = find(x>1 & x<=25); +plot(x(sel), y(sel)); +axis( [min(x(sel)) max(x(sel)), 70, 98] ); +xlabel('Nbr.landmarks'); +ylabel('Computation saving (in %)'); +if save_image + str = [name test_type '_computation_savings']; + saveas(gcf, [rep_eps str '.eps'], 'eps'); + saveas(gcf, [rep str '.png'], 'png'); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fmstar_path_planing.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fmstar_path_planing.m new file mode 100644 index 0000000..4f68a2e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fmstar_path_planing.m @@ -0,0 +1,80 @@ +% test for constrainted path planing using an heuristic. +% + +save_image = 0; + +name = 'room_big'; % warning : this is a *big* map, expect large computation time. +name = 'room'; % warning : this is a *big* map, expect large computation time. +name = 'room1'; % a small map +map_name = ['data/' name '.png']; + +rep = 'images/'; +rep_eps = 'images/eps/'; + +M = imread(map_name); +M = 1-rescale( double(M) ); +n = size(M,1); + +% number of direction sampled +ntheta = 41; +% size of the object +obj = [0.2,0.03]; + +M1 = generate_constrained_map(M,ntheta,obj,pi); +W = 1-M1+0.001; + +% pick start/end/center points +if ~exist('start_points') + [start_points,end_points] = pick_start_end_point(M); + start_theta = floor(ntheta*rand)+1; % (ntheta+1)/2 + end_theta = floor(ntheta*rand)+1; % (ntheta+1)/2 + start_theta = 1; + end_theta = 1; + start_points = [start_points;start_theta]; + end_points = [end_points;end_theta]; +end + +clear options; +options.nb_iter_max = Inf; +options.end_points = end_points; +disp('Performing 3D front propagation.'); +[D,S] = perform_fast_marching(W, start_points, options); +disp('Extracting shortest path.'); +path = compute_geodesic(D,end_points); +path1(:,3) = (path(:,3)-1)/ntheta*pi; + +clf; +plot_constrained_path_planing(M,path1,obj,40); + + +test_type = 'weight'; +if strcmp(test_type,'weight') + weight_list = [0 0.3 0.5 0.7 0.8 0.9 1 1.1]; + reduc_factor_list = 1 + weight_list*0; +else + reduc_factor_list = 0:0.05:1.1; + weight_list = 0.5 + reduc_factor_list*0; +end + + + + +clf; +nbr_paths = length(weight_list); +for i = 1:nbr_paths + options.reduc_factor = reduc_factor_list(i); + options.weight = weight_list(i); + options.start_points = start_points; + disp( sprintf('Performing FM*, weight=%d%%, resol=%d%%.', round(100*options.weight), round(100*options.reduc_factor)) ); + [D,S] = perform_fmstar_3d(W, start_points,end_points, options); + % extract path + disp('Extracting Paths'); + path = compute_geodesic(D,end_points); + clf; + options.plot_planes = 0; + plot_fast_marching_3d(W,S,path,start_points,end_points, options ); + if save_image + str = [rep name '_front_' num2str( round(weight_list(i)*100) )]; + saveas( gcf, [str '.png'], 'png' ); + end +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fmstar_weight_2d.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fmstar_weight_2d.m new file mode 100644 index 0000000..6671e64 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_fmstar_weight_2d.m @@ -0,0 +1,166 @@ +% test for the heuristically driven +% Fast Marching algorithm, +% aka FM* +% +% Copyright (c) 2004 Gabriel Peyré + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% speed fonction W + +n = 500; + + +rep = 'images/multires_weight/'; +if exist(rep)~=7 + mkdir(rep); +end +rep_eps = [rep 'eps/']; +if exist(rep_eps)~=7 + mkdir(rep_eps); +end + + +save_image = 1; +test_type = 'resolution'; +test_type = 'weight'; + +name = 'bump'; +name = 'stephanodiscusniagarae'; +name = 'map'; +name = 'cavern'; +name = 'road2'; +name = 'constant'; +name = 'gaussian'; +name = 'mountain'; + +[M,W] = load_potential_map(name, n); + +% pick start/end/center points +if ~exist('start_points') + [start_points,end_points] = pick_start_end_point(M); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% perform FM* algorithm +if strcmp(test_type,'weight') + weight_list = 0:0.05:1; % 1.1; + reduc_factor_list = 1 + weight_list*0; +else + reduc_factor_list = 0.05:0.05:1; + weight_list = 0.5 + reduc_factor_list*0; +end + +paths = {}; +paths_old = {}; +fronts = {}; + +nbr_paths = length(weight_list); + +clf; +S_accum = zeros(n); +front_size = zeros(nbr_paths, 1); +for i = 1:nbr_paths + options.reduc_factor = reduc_factor_list(i); + options.weight = weight_list(i); + options.start_points = start_points; + disp( sprintf('Performing FM*, weight=%d%%, resol=%d%%.', round(100*options.weight), round(100*options.reduc_factor)) ); + [D,S] = perform_fmstar_2d(W, start_points,end_points, options); + S_accum = S_accum + (S+1)/2; + % size of the front + front_size(i) = sum( S(:)<=0 ); + % extract path + disp('Extracting Paths'); + paths{i} = compute_geodesic(D,end_points,options); + if i==1 + plot_fast_marching_2d(M,S,paths{i}, start_points, end_points, options); + end + paths{i} = (paths{i}-1)/n; + % extract front + c_list = perform_curve_extraction(S,0); + fronts{i} = c_list{1}; +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% plot the level sets +clf; +hold on; +x = linspace(0,1,n); +imagesc(x,x,M'); +axis image; +axis off; +plot_curve(fronts, [], 'r', 1); +plot_curve(paths{end}, [], 'b', 2); +hold off; +colormap gray(256); +if 0 % save_image + str = [name '_' test_type '_fronts']; + saveas(gcf, [rep str '.png'], 'png'); + saveas(gcf, [rep_eps str '.eps'], 'epsc'); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% plot the geodesics +clf; +hold on; +x = linspace(0,1,n); +imagesc(x,x,M'); +axis image; +axis off; +plot_curve({paths{2:end}}, [], 'k', 1); +plot_curve(paths{1}, [], 'b', 2); +hold off; +colormap gray(256); +if save_image + str = [name '_' test_type '_paths']; + saveas(gcf, [rep str '.png'], 'png'); + saveas(gcf, [rep_eps str '.eps'], 'epsc'); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% compute the hausdorf distance +err_rms = zeros(nbr_paths, 1); +err_inf = zeros(nbr_paths, 1); +for i=1:nbr_paths + [err_rms(i), err_inf(i)] = compute_hausdorff_distance(paths{i}, paths{1}); +end +% normalize the RMS in % +err = {}; +err{1} = 100 * err_rms / norm( start_points - end_points, 'fro' ); +err{2} = 100 * err_inf / norm( start_points - end_points, 'fro' ); +str1 = {'rms', 'inf'}; +% plot error +for i=1:2 + if strcmp(test_type,'weight') + weight_max = 1; + I = find(weight_list<=weight_max); + plot( weight_list(I)*100, err{i}(I) ); + axis tight; + xlabel('Heuristic (in %)'); + ylabel( ['Hausdorff ' upper(str1{i}) ' (in % B.B.diag.)'] ); + else + plot( reduc_factor_list*100, err{i} ); + axis tight; + xlabel('% reduction'); + ylabel( ['Hausdorff ' upper(str1{i}) ' (in % B.B.diag.)'] ); + end + if save_image + str = [name '_' test_type '_error_' str1{i}]; + saveas(gcf, [rep_eps str '.eps'], 'epsc'); + saveas(gcf, [rep str '.png'], 'png'); + end +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% plot the memory saving +% plot error +if strcmp(test_type,'weight') + plot(weight_list*100, 100-front_size/front_size(1)*100); + axis( [0, max(weight_list*100), 0, 100] ); + xlabel('Heuristic (in %)'); + ylabel('Memory saving (in %)'); + if save_image + str = [name '_' test_type '_memory']; + saveas(gcf, [rep_eps str '.eps'], 'eps'); + saveas(gcf, [rep str '.png'], 'png'); + end +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_geodesic_interpolation.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_geodesic_interpolation.m new file mode 100644 index 0000000..b3ea5eb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_geodesic_interpolation.m @@ -0,0 +1,116 @@ +% test for data interpolation using geodesic distances + +rep = 'data/'; +rep = ''; + +name = 'mm'; +name = 'cavern'; +name = 'disk'; +name = 'toto'; +name = 'boat'; +name = 'cartoon'; + +clear options; +options.null = 0; + +%% compute a binary shape +n = 300; +if strcmp(name, 'toto') + M0 = load_image([rep name],n); + M = sum(M0,3); + M = 1-(M==M(1)); + % compute the constraint map + CM = zeros(n) + Inf; CM(M==0) = -Inf; + options.constraint_map = CM; % constraint the propagation inside the shape + W = ones(n); + mode = 'interpolation'; +else + n0 = []; + if strcmp(name, 'disk') + n0 = n; + end + if strcmp(name, 'cartoon') + n0 = 400; + end + M = load_image([rep name],n0); + M = rescale(crop(M,n)); M0 = M; + M = rescale(sum(M,3)); + W = compute_edge_energy(M, 1.2); + W = 1./rescale(W,0.001,1); + mode = 'colorization'; +end + +% RGB2COL matrix +CM = rand(3); CM(:,1) = 1; +[CM,R] = qr(CM); CM(:,1) = 1/3; CM = CM'; + +%% pick some points +b = 1; +points = []; +while b==1 + clf; + hold on; + imagesc(rescale(M)); axis image; axis off; + if not(isempty(points)) + plot_scattered(points(end:-1:1,:)); + end + colormap gray(256); axis ij; + hold off; + [y,x,b] = ginput(1); + if b==1 + points(:,end+1) = [x;y]; + end +end +npoints = size(points,2); +% random colors (sqrt to make it more colorfull +f = rand(3,npoints); +f = ( f ./ repmat(sum(f,1),[3, 1]) ).^(1); +% use fixed palette +fc = [1 0 0; 0 1 0; 0 0 1; 1 1 0; 1 0 1; 0 1 1; 0.2 0.7 1; 1 0.2 0.7; 0.7 1 0.2; 0.2 1 0.7]'; +sel = floor(rand(npoints,1)*6)+1; +f = fc(:,sel); + +if strcmp(mode, 'colorization') + % random CbCr + f = CM*f; f = f(2:end,:); +end + +%% perform interpolation +if strcmp(mode, 'colorization') + sigma_list = 0.001/n; + alpha_list = 3; +else + % the smaller, the more interpolation is performed + % the higher, the more diffusion it is + sigma_list = [25 25 25 0.01 0.01 0.01]/n; + % the higher, the more "voronoi"-like it is + alpha_list = [1 3 50 1 3 50]; +end + +nsigma = length(sigma_list); +nrows = 1; +if nsigma>3 + nrows = 2; +end + +clf; +for i=1:nsigma + options.sigma = sigma_list(i); + options.alpha = alpha_list(i); + [A,G] = perform_geodesic_interpolation(W,points,f,options); + + if strcmp(mode, 'colorization') + % cat the luminosity component + A = cat(3, M,A); + A = reshape(A, [n^2 3])'; + A = ( (CM^(-1)) * A )'; + A = reshape( A, [n n 3] ); + end + A = clamp(A); + subplot(nrows,ceil(nsigma/nrows), i); + hold on; + imagesc(rescale(A)); axis image; axis off; axis ij; + plot_scattered(points(end:-1:1,:)); + hold off; + title(['\alpha=' num2str(options.alpha) ', \sigma=' num2str(options.sigma)]); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_geodesic_vs_euclidean.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_geodesic_vs_euclidean.m new file mode 100644 index 0000000..c3eb148 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_geodesic_vs_euclidean.m @@ -0,0 +1,71 @@ +% compare geodesic with euclidean distance inside a 2D shape + + +rep = 'images/'; +name = 'bird'; +name = 'giraffe'; +name = 'camel'; +name = 'chicken'; + +test = 'meangeodesic'; +test = 'eccentricity'; + +% put s=-1 for Linf eccentricity +s = -1; + +repsrc = 'data/'; + +rep = 'results/geodesic-vs-euclidean/'; +if ~exist(rep) + mkdir(rep); +end + +n = 256; +M = rescale( load_image([repsrc name],n), 0,1 ); +M = double(M>0.5); + +% make sure pixels on the boundary are black +if M(1)==1 + M = 1-M; +end + +% compare the geodesic ditance to the euclidean distance +clf; +imagesc(M); axis image; axis off; +[y,x] = ginput(1); +start_points = round([x y]'); +W = ones(n); +L = zeros(n)-Inf; L(M==1) = +Inf; +options.constraint_map = []; +[D0,S,Q] = perform_fast_marching(W, start_points, options); +options.constraint_map = L; +[D1,S,Q] = perform_fast_marching(W, start_points, options); +D0(M==0) = Inf; D1(M==0) = Inf; + +% compute a nice color image +D0a = convert_distance_color(D0); +D1a = convert_distance_color(D1); + +% place a dot at the center +[Y,X] = meshgrid(1:n,1:n); +r = 0.02*n; +I = find( (X-x).^2 + (Y-y).^2 <= r^2 ); +for i=1:3 + A = D0a(:,:,i); A(I) = i==1; + D0a(:,:,i) = A; + A = D1a(:,:,i); A(I) = i==1; + D1a(:,:,i) = A; +end + + +% display +clf; +subplot(1,2,1) +imagesc(D0a); axis image; axis off; title('Euclidean'); +subplot(1,2,2) +imagesc(D1a); axis image; axis off; title('Geodesic'); + +warning off; +imwrite(rescale(D0a), [rep name '-euclidean.png' ], 'png'); +imwrite(rescale(D1a), [rep name '-geodesic.png' ], 'png'); +warning on; diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_heuristic_mesh.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_heuristic_mesh.m new file mode 100644 index 0000000..49189cb --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_heuristic_mesh.m @@ -0,0 +1,58 @@ +% test for heuristically driven computations on meshes + +n = 300; +repimg = 'results/heuristic-mesh/'; +if exist(repimg)~=7 + mkdir(repimg); +end + + +path(path, '../toolbox_graph/off'); +rep = '../toolbox_graph/off/'; +name = 'nefertiti.off'; +name = 'beetle.off'; +name = 'fandisk.off'; +name = 'david50kf.off'; +name = 'skull.off'; +[vertex,faces] = read_mesh([rep name]); + +if size(vertex,1)>size(vertex,2) + vertex = vertex'; +end +if size(faces,1)>size(faces,2) + faces = faces'; +end + +save_images = 1; + +nverts = max(size(vertex)); +start_points = [1]; +end_points = [2000]; +start_points = start_points(:); + +% compute distance to starting point +[H,Z,Q] = perform_fast_marching_mesh(vertex, faces, end_points); + + +options.end_points = end_points(:); + +lambda = 1; +options.heuristic = lambda*H(:); +[D,Z,Q] = perform_fast_marching_mesh(vertex, faces, start_points, options); + +col = D; +col(col==Inf) = 0; +options.face_vertex_color = col; +clf; +hold on; +plot_mesh(vertex, faces, options); +h = plot3(vertex(1,start_points),vertex(2,start_points), vertex(3,start_points), 'r.'); +set(h, 'MarkerSize', 25); +h = plot3(vertex(1,end_points),vertex(2,end_points), vertex(3,end_points), 'b.'); +set(h, 'MarkerSize', 25); +hold off; +colormap jet(256); +view(0,0); +shading interp; +% lighting none; +camlight; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_influence.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_influence.m new file mode 100644 index 0000000..816a66e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_influence.m @@ -0,0 +1,37 @@ +% test for computation influence + +n = 30; +W = ones(n); + +x = -1:2/(n-1):1; +[Y,X] = meshgrid(x,x); +sigma = 0.4; +% W = 1./(1 + exp( -(X.^2+Y.^2)/sigma^2 ) ); + +start_points = [3;3]; +end_points = [n-3;7]; +nb_iter_max = Inf; + +[Y,X] = meshgrid(0:1/(n-1):1, 0:1/(n-1):1); +H = sqrt( ( X-X(end_points(1), end_points(2)) ).^2 + ( Y-Y(end_points(1), end_points(2)) ).^2 ); + +[D,S,father] = perform_front_propagation_2d_slow(W,start_points,end_points,nb_iter_max); + +% plot father relations +P = sub2ind(size(W), end_points(1), end_points(2)); +M = zeros(n); +while ~isempty(P) + % pop front + p = P(1); + [i,j] = ind2sub(size(W),p); + P(1) = []; + M(p) = 1; + % add father + f = father(i,j,:); + if f(1)>0 && M(f(1))==0 && isempty(find(P==f(1))) + P = [P,f(1)]; + end + if f(2)>0 && M(f(2))==0 && isempty(find(P==f(2))) + P = [P,f(2)]; + end +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_landmark.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_landmark.m new file mode 100644 index 0000000..c2349f8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_landmark.m @@ -0,0 +1,164 @@ +% test for landmark heuristic computation + +n = 300; + +rep = 'images/landmark_distance/'; +if exist(rep)~=7 + mkdir(rep); +end +rep_eps = [rep 'eps/']; +if exist(rep_eps)~=7 + mkdir(rep_eps); +end + +name = 'bump'; +name = 'map'; +name = 'mountain'; +name = 'stephanodiscusniagarae'; +name = 'cavern'; +name = 'gaussian'; +name = 'road2'; +name = 'constant'; + +save_images = 0; + +nbr_landmarks = 10; +landmark_init = 'rand'; +landmark_init = 'farthest'; + +[M,W] = load_potential_map(name, n); + +% just a string representing the number of landmarks points +num_str = num2string_fixeddigit(nbr_landmarks, 3); +marker_size = 20; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% pick starting point +if ~exist('start_points') + [start_points,end_points] = pick_start_end_point(M); +end + +disp('Performing front propagation.'); +[D,S] = perform_fast_marching(W, start_points); + +% compute landmark +disp('Initializing Landmarks'); +switch lower(landmark_init) + case 'rand' + landmark = floor( rand(2, nbr_landmarks)*(n-1) )+1; + case 'farthest' + landmark = perform_farthest_point_sampling( W, [], nbr_landmarks ); + case 'farthestboundary' + landmark = perform_farthest_point_sampling_boundary( W, landmark, 1 ); +end + +% compute distance to landmark +DL = zeros(n,n,nbr_landmarks); +for i=1:nbr_landmarks + disp('Performing front propagation.'); + [DL(:,:,i),S] = perform_fast_marching(W, landmark(:,i)); +end + +% compute the approximated distance +[D1,Z] = compute_heuristic_landmark(DL,start_points); + +clf; +if ~save_images + subplot(2,2,1); +end +hold on; +imagesc(W'); +plot_scattered(landmark); +axis tight; axis square; axis off; +hold off; +title('Potential with landmarks'); +colormap jet(256); +if save_images + axis image; axis off; + str = [name '_' num_str 'landmarks_' landmark_init '_potential']; + saveas(gcf, [rep str '.png'], 'png'); + saveas(gcf, [rep_eps str '.eps'], 'eps'); +end + +if ~save_images + subplot(2,2,3); +end +hold on; +imagesc(D'); +contour(D', 'k'); +axis tight; axis square; axis off; +plot(start_points(1,:), start_points(2,:), 'kx', 'MarkerSize', 10); +hold off; +title('Distance to point'); +colormap jet(256); +if save_images + axis image; axis off; + str = [name '_' num_str 'landmarks_' landmark_init '_realdist']; + saveas(gcf, [rep str '.png'], 'png'); + saveas(gcf, [rep_eps str '.eps'], 'eps'); +end + +if ~save_images + subplot(2,2,4); +end +hold on; +imagesc(D1'); +contour(D1', 'k'); +axis tight; axis square; axis off; +plot(start_points(1,:), start_points(2,:), 'kx', 'MarkerSize', 10); +plot(landmark(1,:), landmark(2,:), 'k.', 'MarkerSize', marker_size); +hold off; +title('Approximate distance to point'); +colormap jet(256); +if save_images + axis image; axis off; + str = [name '_' num_str 'landmarks_' landmark_init '_approxdist']; + saveas(gcf, [rep str '.png'], 'png'); + saveas(gcf, [rep_eps str '.eps'], 'eps'); +end + +% str = [rep name '_' num2str(nbr_landmarks) 'landmarks_' landmark_init]; +% saveas(gcf, [str '.png'], 'png'); + +return; + +% plot the influence zones +clf; +hold on; +imagesc(Z'); +plot_scattered(start_points); +axis off; +hold off; +title('Approximate distance to point'); +colormap jet(256); + + + +return; + + +%%% ANIMATION! %%% +r = 0.3; +nb = 200; +i = 0; +for theta = (0:1/nb:1-1/nb)*2*pi + i = i+1; + start_points = 0.5 + r * [cos(theta);sin(theta)]; + start_points = round( start_points*(n-1) )+1; + [D1,Z] = compute_distance_landmark(DL,start_points); + clf; + imagesc(Z); + axis image; + axis off; + colormap jet(256); + + num_str = num2str(i); + if i<10 + num_str = ['0' num_str]; + end + if i<100 + num_str = ['0' num_str]; + end + str = ['anim/' name '_' num_str]; + saveas(gcf, [str '.png'], 'png'); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_landmark_error.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_landmark_error.m new file mode 100644 index 0000000..a2c11c3 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_landmark_error.m @@ -0,0 +1,247 @@ +% test for influence of sampling strategy on the +% decreasing of the error + + +n = 100; + +rep = 'images/landmark_error/'; +rep_eps = [rep 'eps/']; +if exist(rep)~=7 + mkdir(rep); +end +if exist(rep_eps)~=7 + mkdir(rep_eps); +end + +marker_size = 20; +contour_width = 2; +nb_contours = 12; +save_image = 1; +save_image_eps = 0; + +if ~exist('name') + name = 'bump'; + name = 'map'; + name = 'stephanodiscusniagarae'; + name = 'cavern'; + name = 'gaussian'; + name = 'constant'; + name = 'road2'; + name = 'mountain'; +end + +[M,W] = load_potential_map(name, n); + +switch lower(name) + case 'road2' + A = [0.0352 0.7638; 0.5377 0.4271]; + case 'mountain' + A = [0.1005 0.8442; 0.6332 0.3116]; + case 'constant' + A = [0.1 0.1; 0.7 0.9]; +end + +% get two samples points +if exist('A') + start_points = round(A(:,1)*(n-1)+1); + end_points = round(A(:,2)*(n-1)+1); +else + [start_points,end_points] = pick_start_end_point(M); +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% save real distance function +options.end_points = end_points; +[D,S] = perform_fast_marching(W, start_points, options); +path = compute_geodesic(D,end_points); +clf; +plot_fast_marching_2d(M,S,path, start_points, end_points); +% save to file +if save_image + str = [name '_original_path']; + saveas(gcf, [rep str '.png'], 'png'); + if save_image_eps + saveas(gcf, [rep_eps str '.eps'], 'epsc'); + end +end + +% plot distance function +[D,S] = perform_fast_marching(W, end_points); +clf; +hold on; +m = sort(D(:)); m = m(end-10); +imagesc(min(D,m)'); +contour(min(D,m)', nb_contours, 'k', 'LineWidth', contour_width); +axis tight; axis image; axis off; +plot(start_points(1,:), start_points(2,:), 'kx', 'MarkerSize', 10); +hold off; +colormap jet(256); +axis image; axis off; +% save to file +if save_image + str = [name '_original_distance']; + saveas(gcf, [rep str '.png'], 'png'); + if save_image_eps + saveas(gcf, [rep_eps str '.eps'], 'epsc'); + end +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%% base point for error computation %%%%%% +nbr_base_points = 200; +% base point position +base_points = floor( rand(2, nbr_base_points)*n ) + 1; +% record distances to landmarks +DL_base = zeros(n,n,nbr_base_points); +% compute real distance to these base ponts +fprintf('Compute distance to base points '); +for s=1:nbr_base_points + fprintf('.'); + [DL_base(:,:,s),Z] = perform_fast_marching(W, base_points(:,s)); +end +fprintf('\n'); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%% error decreasing %%%%%% +% landmark_init_list = {'farthestboundary','rand', 'farthest','trialerror'}; +landmark_method_list = {'proxy','align'}; +landmark_init_list{1} = {'rand'}; +landmark_init_list{1} = {}; +landmark_init_list{2} = {'rand', 'farthestboundary'}; % 'trialerror' 'farthestboundary' +err_list = {}; +% for recording error +nbr_landmark_list{1} = [5:10:128, 128:32:640]; +nbr_landmark_list{2} = [1, 2:2:32]; +% for recording images +display_list{1} = [65, 128, 256, 384, 512, 640]; +display_list{2} = [1, 2, 4, 8, 16, 32]; + +% performing test +err_list = {}; +err_list_abscice = {}; +lgd = {}; +k = 0; +for k1=1:length(landmark_method_list) +for k2=1:length(landmark_init_list{k1}) + landmark_method = landmark_method_list{k1}; + landmark_init = landmark_init_list{k1}{k2}; + lgd{end+1} = [landmark_method '+' landmark_init]; + + err = []; + % landmark poisition + landmark = []; + % record distances to landmarks + DL_landmark = []; + + for nbr_landmarks=nbr_landmark_list{k1} + + disp( ['Testing method with ' num2str(nbr_landmarks) ' landmarks'] ); + while size(landmark,2)0.5); + +% make sure pixels on the boundary are black +if M(1)==1 + M = 1-M; +end + +warning off; +imwrite(1-M, [rep name '-shape.png'], 'png'); +warning off; + +% compute geodesic distance +clf; +imagesc(M); axis image; axis off; +title('click on a point inside the shape'); +[y,x] = ginput(1); +start_points = round([x y]'); +W = ones(n); +L = zeros(n)-Inf; L(M==1) = +Inf; +options.constraint_map = L; +disp('Compute distance function'); +[D,S,Q] = perform_fast_marching(W, start_points, options); + + +bound = compute_shape_boundary(M); +nbound = size(bound,1); +npaths = 30; +sel = round(linspace(1,nbound+1,npaths+1)); sel(end) = []; +end_points = bound(sel,:); + +disp('Extract paths'); +paths = {}; +D1 = D; D1(M==0) = 1e9; +for i=1:npaths + paths{i} = compute_geodesic(D1,end_points(i,:)'); +% paths{i} = compute_discrete_geodesic(D1,end_points(i,:)')'; +end + +ms = 30; lw = 3; +% display +A = convert_distance_color(D); +clf; hold on; +imageplot(A); axis image; axis off; +for i=1:npaths + end_point = end_points(i,:); + h = plot( paths{i}(2,:), paths{i}(1,:), 'k' ); + set(h, 'LineWidth', lw); + h = plot(end_point(2),end_point(1), '.b'); + set(h, 'MarkerSize', ms); +end +h = plot(start_points(2),start_points(1), '.r'); +set(h, 'MarkerSize', ms); +hold off; +colormap jet(256); +axis ij; +saveas(gcf, [rep name '-geodesics.png'], 'png'); diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_redistancing.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_redistancing.m new file mode 100644 index 0000000..0a43f11 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_redistancing.m @@ -0,0 +1,34 @@ +% test for the re-distancing of a distance function +n = 256; + +name = 'circle'; +name = 'rectangle'; +name = 'circlerect1'; +name = 'circlerect2'; + +D0 = compute_levelset_shape(name, n); + + +% the modified distance function, should have the same 0 level set +D = (D0.^3) .* (X+n/3); + +options.use_interpolation = 1; +D1 = perform_redistancing(D, options); +options.use_interpolation = 0; +D2 = perform_redistancing(D, options); + +% original +c0 = perform_contour_extraction(D0, 0); +% interpolation +c1 = perform_contour_extraction(D1, 0); +% no interpolation +c2 = perform_contour_extraction(D2, 0); + +clf; +hold on; +plot(c0(1,:),c0(2,:), 'r'); +plot(c1(1,:),c1(2,:), 'g'); +plot(c2(1,:),c2(2,:), 'b'); +legend('Original', 'Interpolation', 'No interpolation'); +axis([0 1 0 1]); +hold off; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_segmentation.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_segmentation.m new file mode 100644 index 0000000..8e8f1e9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_segmentation.m @@ -0,0 +1,35 @@ +% test for segmentation using front propagation +% +% Copyright (c) 2006 Gabriel Peyré + +n = 200; +map_name = 'data/room.png'; +map_name = 'data/cavern.png'; + + +[W, cm] = imread(map_name); +W = rescale( double(W) ); +W = W.^0.2; % enhance contrast +W = W + 1e-6; % put low speed on background + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% pick starting point +start_points = pick_start_end_point(W); + +options.nb_iter_max = Inf; +options.Tmax = Inf; +disp('Performing front propagation.'); +[D,S] = perform_fast_marching(W, start_points, options); + +T = sum(size(W)); % threshold value +clf; +subplot(1,2,1); +imagesc(W); +title('Map'); +axis image; axis off; +subplot(1,2,2); +imagesc(D>T); +title('Segmented'); +axis image; axis off; +colormap gray(256); + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_skeleton.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_skeleton.m new file mode 100644 index 0000000..d5b7202 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_skeleton.m @@ -0,0 +1,49 @@ +% test for skeleton and distance transform + + +rep = 'data/'; +name = 'mm'; +name = 'cavern'; +name = 'toto'; + +%% compute a binary shape +n = 200; +Ma = load_image([rep name],n-10); +Ma = sum(Ma,3); +M = zeros(n); +M(6:n-5,6:n-5) = Ma; +mask = 1-(M==M(1)); + +%% compute the skeleton +[skg,rad] = skeleton(mask); +% the higher the threshold, the smaller the skeleton +sk1 = skg>20; + +sk2 = pick_curves(mask); + +sk = {sk1,sk2}; +nsk = length(sk); + +clf; +for i=1:nsk + %% compute euclidean distance to skeleton + [Dsk1,Qsk] = eucdist2(logical(sk{i})); + %% compute the geodesic distance, should not be exactly the same + % positions along the skeleton + [x,y] = ind2sub(size(mask),find(sk{i})); + skpoints = [x(:)';y(:)']; + CM = zeros(n) + Inf; CM(mask==0) = -Inf; + options.constraint_map = CM; % constraint the propagation inside the shape + [Dsk2,Z,Qsk] = perform_fast_marching(ones(n), skpoints, options); + % display + subplot(nsk,3,1+(i-1)*3); + imagesc(mask+sk{i}); axis image; axis off; + title('skeleton'); + subplot(nsk,3,2+(i-1)*3); + imagesc(Dsk1.*mask); axis image; axis off; + title('euclidean distance'); + subplot(nsk,3,3+(i-1)*3); + imagesc(Dsk2.*mask); axis image; axis off; + title('geodesic distance'); +end +colormap jet(256); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_vol3d.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_vol3d.m new file mode 100644 index 0000000..0960f13 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_vol3d.m @@ -0,0 +1,96 @@ +% volumetric data vizualization + +% load brain1-128.mat +% load brain1-256.mat +load brain1-crop-256.mat + + +rep = 'results/vol3d/'; +if not(exist(rep)) + mkdir(rep); +end + +% save some slices +ilist = round(linspace(1,size(M,3),10)); ilist([1 end]) = []; +warning off; +for i=1:length(ilist) + imwrite(rescale(M(:,:,ilist(i))), [rep 'brain-img-' num2str(i) '.png'], 'png'); +end +warning on; + + +% crop +n = 100; +M = crop(M,n); % (end-n+1:end,end-n+1:end,end-n+1:end); +M = rescale(M); + +clf; +h = vol3d('cdata',M,'texture','2D'); +view(3); axis off; + +center_list = .55;% % .1:.1:.9; +nc = length(center_list); +for i=1:nc + % set up alpha + options.center = center_list(i); + options.sigma = .08; + a = compute_alpha_map('gaussian', options); + colormap bone(256); + vol3d(h); +% saveas(gcf, [rep 'brain-vol3d-' num2str(i) '.png'], 'png'); +end + +n = size(M,1); +% perform fast marching +delta = 5; +clf; +imageplot(M(:,:,delta)); +axis image; axis off; +title('Pick starting point'); +start_point = round( ginput(1) ); +start_point = [start_point(2); start_point(1); delta]; + + +% compute the potential +c = M(start_point(1),start_point(2),start_point(3)); +sigma = .04; +W = exp( -(M-c).^2 / (2*sigma^2) ); +W = rescale(W,.001,1); +options.nb_iter_max = Inf; +fprintf('--> Perform Fast Marching ... '); +[D,S] = perform_fast_marching(W, start_point, options); +disp('done.'); + +% display the interface of the front +clf; +h = vol3d('cdata',rescale(D),'texture','2D'); +view(3); axis off; +vol3d(h); + +center_list = .1; % [.1 .05 .02 .01 .005 .001]; +options.sigma = 0.03; +nc = length(center_list); +for i=1:nc + % set up alpha + options.center = center_list(i); + options.cname = 'jet'; + [a,c] = compute_alpha_map('gaussian', options); + colormap(c); + vol3d(h); +end + +% find an end point +d = D(:,:,n-delta); +[tmp,I] = min(d(:)); +[x,y] = ind2sub(size(d),I); +end_point = [x;y;n-delta]; + +path = compute_discrete_geodesic(D,end_point); + +% draw the path +Dend = D(end_point(1),end_point(2),end_point(3)); +D1 = double( D<=Dend ); +clf; +plot_fast_marching_3d(M,D1,path,start_point,end_point); +view(3); camlight; + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_voronoi_segmentation.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_voronoi_segmentation.m new file mode 100644 index 0000000..1a707a9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_voronoi_segmentation.m @@ -0,0 +1,69 @@ +% test for precise Voronoi cell extraction on meshes, together with Lloyd relaxation + +clear options; +path(path, 'toolbox/'); +path(path, '../toolbox_graph_data/'); +path(path, '../toolbox_graph_data/off/'); + +% test lloyd algorithm or progressive seeding +test = 'voronoi'; +test = 'lloyd'; + +rep = ['results/' test '-mesh/']; +if not(exist(rep)) + mkdir(rep); +end + + +name = 'david50kf'; +name = 'hand'; +name = 'david_head'; +name = 'bunny'; +name = 'elephant-50kv'; + +options.name = name; +[vertex,faces] = read_mesh(name); + +n = size(vertex,2); + + +if strcmp(test, 'lloyd') + nstart = 100; + niter = 20; +else + nstart = 5; + niter = 8; + nadd = 15; + nmax = nstart + (niter-1)*nadd; +end +start_points = round(rand(nstart,1)*(n-1)+1); + +cm = rand(nmax,3); +cm = rgb2hsv(cm); +cm(:,2) = 1-(1-cm(:,2))/2; +cm = hsv2rgb(cm); + +for i=1:niter + [Q,DQ, ve, edges_id, lambda] = compute_voronoi_mesh(vertex,faces, start_points, options); + % display the sampling + options.voronoi_edges = ve; + options.colorfx = ''; + options.start_points = start_points; + col = Q(:,1); + if strcmp(test, 'voronoi') + col(1) = nmax; + end + plot_fast_marching_mesh(vertex,faces, col, [], options); + colormap(cm); + saveas(gcf, [rep name '-' test '-' num2string_fixeddigit(i,2) '.png'], 'png'); + % update positions + if strcmp(test, 'lloyd') + options.edges_id = edges_id; + options.lambda = lambda; + options.Q = Q; + start_points = perform_lloyd_mesh(vertex,faces, start_points, options); + else + % add new points + start_points = [start_points; round(rand(nadd,1)*(n-1)+1)]; + end +end diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_voronoi_triangulation.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_voronoi_triangulation.m new file mode 100644 index 0000000..1663fa3 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/tests/test_voronoi_triangulation.m @@ -0,0 +1,34 @@ +% test for Voronoi cells extractions + + +n = 300; +name = 'mountain'; +name = 'constant'; + +% number of points +p = 80; +start_points = floor(rand(2,p)*(n-1))+1; + +[M,W] = load_potential_map(name, n); + +[D,Z,Q] = perform_fast_marching(W, start_points); + +clf; +subplot(1,2,1); +hold on; +imagesc(Q'); axis image; axis off; +plot(start_points(1,:), start_points(2,:), 'k.'); +hold off; +subplot(1,2,2); +hold on; +imagesc(D'); axis image; axis off; +plot(start_points(1,:), start_points(2,:), 'k.'); +hold off; + +faces = compute_voronoi_triangulation(Q, vertex); +edges = compute_edges(faces); + +hold on; +imagesc(Q'); axis image; axis off; +plot_edges(edges, start_points, 'k'); +hold off; \ No newline at end of file diff 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+K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/compute_distance_to_points.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/compute_distance_to_points.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/compute_distance_to_points.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/compute_edges.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/compute_edges.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/compute_edges.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/compute_gaussian_filter.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/compute_gaussian_filter.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/compute_gaussian_filter.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/compute_grad.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/compute_grad.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/compute_grad.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/compute_vertex_ring.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/compute_vertex_ring.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/compute_vertex_ring.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/load_image.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/load_image.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/load_image.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/mmax.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/mmax.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/mmax.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/nb_dims.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/nb_dims.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/nb_dims.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/num2string_fixeddigit.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/num2string_fixeddigit.m.svn-base new file mode 100644 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b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/perform_image_resize.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/perform_tensor_recomp.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/perform_tensor_recomp.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/perform_tensor_recomp.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/perform_vf_normalization.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/perform_vf_normalization.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ 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a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/read_off.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/read_off.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/read_off.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/rescale.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/rescale.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/rescale.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/triangulation2adjacency.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/triangulation2adjacency.m.svn-base new file mode 100644 index 0000000..a669705 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/prop-base/triangulation2adjacency.m.svn-base @@ -0,0 +1,5 @@ +K 14 +svn:executable +V 0 + +END diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/check_face_vertex.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/check_face_vertex.m.svn-base new file mode 100644 index 0000000..f5b768b --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/check_face_vertex.m.svn-base @@ -0,0 +1,29 @@ +function [vertex,face] = check_face_vertex(vertex,face, options) + +% check_face_vertex - check that vertices and faces have the correct size +% +% [vertex,face] = check_face_vertex(vertex,face); +% +% Copyright (c) 2007 Gabriel Peyre + +vertex = check_size(vertex); +face = check_size(face); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function a = check_size(a) +if isempty(a) + return; +end +if size(a,1)>size(a,2) + a = a'; +end +if size(a,1)<3 && size(a,2)==3 + a = a'; +end +if size(a,1)<=3 && size(a,2)>=3 && sum(abs(a(:,3)))==0 + % for flat triangles + a = a'; +end +if size(a,1)~=3 + error('face or vertex is not of correct size'); +end diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/clamp.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/clamp.m.svn-base new file mode 100644 index 0000000..32bb8ee --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/clamp.m.svn-base @@ -0,0 +1,19 @@ +function y = clamp(x,a,b) + +% clamp - clamp a value +% +% y = clamp(x,a,b); +% +% Default is [a,b]=[0,1]. +% +% Copyright (c) 2004 Gabriel Peyré + +if nargin<2 + a = 0; +end +if nargin<3 + b = 1; +end + +y = max(x,a); +y = min(y,b); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_cuvilinear_abscice.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_cuvilinear_abscice.m.svn-base new file mode 100644 index 0000000..baec7d7 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_cuvilinear_abscice.m.svn-base @@ -0,0 +1,19 @@ +function s = compute_cuvilinear_abscice(c) + +% compute_cuvilinear_abscice - compute the curvilinear abscice of a curve +% +% s = compute_cuvilinear_abscice(c); +% +% A curve is a ndims x npts matrix. +% +% Copyright (c) 2004 Gabriel Peyré + +if size(c,1)>size(c,2) + c = c'; +end + +npts = size(c,2); +D = c(:,2:end)-c(:,1:(end-1)); +s = zeros(npts,1); +s(2:end) = sqrt( sum(D.^2,1) ); +s = cumsum(s); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_distance_to_points.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_distance_to_points.m.svn-base new file mode 100644 index 0000000..828633f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_distance_to_points.m.svn-base @@ -0,0 +1,21 @@ +function D = compute_distance_to_points(X,seeds) + +% compute_distance_to_points - compute euclidean distance to a set of points. +% +% D = compute_distance_to_points(X,seeds) +% +% 'X' is a [d,n] matrix, X(:,i) is the ith point living in R^d. +% 'seeds' is a [d,k] matrix. +% D(i,j) = |X(:,j)-seeds(:,i)|^2. +% +% Copyright (c) 2004 Gabriel Peyré + +nbCluster = size(seeds,2); +n = size(X,2); +D = zeros(nbCluster,n); +d = size(X,1); + +for k=1:nbCluster + % distance to seed + D(k,:) = sum( (X - repmat(seeds(:,k),1,n)).^2 ); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_edge_face_ring.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_edge_face_ring.m.svn-base new file mode 100644 index 0000000..28c084f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_edge_face_ring.m.svn-base @@ -0,0 +1,41 @@ +function A = compute_edge_face_ring(face) + +% compute_edge_face_ring - compute faces adjacent to each edge +% +% e2f = compute_edge_face_ring(face); +% +% e2f(i,j) and e2f(j,i) are the number of the two faces adjacent to +% edge (i,j). +% +% Copyright (c) 2007 Gabriel Peyre + + +[tmp,face] = check_face_vertex([],face); + +n = max(face(:)); +m = size(face,2); +i = [face(1,:) face(2,:) face(3,:)]; +j = [face(2,:) face(3,:) face(1,:)]; +s = [1:m 1:m 1:m]; + +% first without duplicate +[tmp,I] = unique( i+(max(i)+1)*j ); +% remaining items +J = setdiff(1:length(s), I); + +% flip the duplicates +i1 = [i(I) j(J)]; +j1 = [j(I) i(J)]; +s = [s(I) s(J)]; + +% remove doublons +[tmp,I] = unique( i1+(max(i1)+1)*j1 ); +i1 = i1(I); j1 = j1(I); s = s(I); + +A = sparse(i1,j1,s,n,n); + + +% add missing points +I = find( A'~=0 ); +I = I( A(I)==0 ); +A( I ) = -1; diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_edges.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_edges.m.svn-base new file mode 100644 index 0000000..7771da2 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_edges.m.svn-base @@ -0,0 +1,37 @@ +function edges = compute_edges(face) + +% compute_edges - from a list of faces, compute the list of (unique) edges. +% +% edge = compute_edges(face); +% +% Copyright (c) 2004 Gabriel Peyré + +if isempty(face) + edges=[]; + return; +end + +[tmp,face] = check_face_vertex([],face); + +if size(face,1)~=3 + error('Problem'); +end +d = size(face,1); + +edges = []; +for i=1:d + sel = [i, mod(i,d)+1]; + edges = [edges, face(sel,:)]; +end + +% sort pair of vertex +I = find(edges(1,:)>edges(2,:)); +J = find(edges(1,:)<=edges(2,:)); +edges = [edges(end:-1:1,I), edges(:,J)]; + +% unique id +m = max(edges(:))+100; +id = edges(1,:) + m*edges(2,:); + +[tmp,I] = unique(id); +edges = edges(:,I); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_gaussian_filter.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_gaussian_filter.m.svn-base new file mode 100644 index 0000000..2646f8c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_gaussian_filter.m.svn-base @@ -0,0 +1,108 @@ +function f = compute_gaussian_filter(n,s,N); + +% compute_gaussian_filter - compute a 1D or 2D Gaussian filter. +% +% f = compute_gaussian_filter(n,s,N); +% +% 'n' is the size of the filter, odd for no phase in the filter. +% (if too small it will alterate the filter). +% use n=[n1,n2] for a 2D filter +% 's' is the standard deviation of the filter. +% 'N' is the size of the big signal/image (supposed to lie in [0,1] or [0,1]x[0,1]). +% use N=[N1,N2] for a 2D filter. +% +% The equation (in 1D) is +% f[k] = exp( -(x(k)^2/(2*s^2)) ); +% where x span [-1/2,1/2]. +% +% The filter is normalised so that it sums to 1. +% +% Copyright (c) 2004 Gabriel PeyrŽ + +nd = 1; +if length(n)>1 & n(2)>1 + nd = 2; +end + +if nd==2 && length(s)==1 + s = [s s]; +end +if nd==2 && length(N)==1 + N = [N N]; +end + +if nd==1 + f = build_gaussian_filter_1d(n,s,N); +else + f = build_gaussian_filter_2d(n,s,N); +end + + + + +% build_gaussian_filter_2d - compute a 2D Gaussian filter. +% +% f = build_gaussian_filter_2d(n,s,N); +% +% 'n' is the size of the filter, odd for no phase in the filter. +% (if too small it will alterate the filter). +% 's' is the standard deviation of the filter. +% 'N' is the size of the big image (supposed to lie in [0,1]x[0,1]). +% +% The filter is normalised so that it sums to 1. +% +% Copyright (c) 2004 Gabriel PeyrŽ + +function f = build_gaussian_filter_2d(n,s,N) + +if nargin<2 + error('Not enough arguments.'); +end +if nargin<3 + N = n; +end + +if length(N)==1 || N(1)==1 + N = N(:); N = [N N]; +end +if length(s)==1 || s(1)==1 + s = s(:); s = [s s]; +end + +if s<=0 + f = zeros(n); + f(round((n-1)/2),round((n-1)/2)) = 1; + return; +end + +x = ( (0:n(1)-1)-(n(1)-1)/2 )/(N(1)-1); +y = ( (0:n(2)-1)-(n(2)-1)/2 )/(N(2)-1); +[Y,X] = meshgrid(y,x); +f = exp( -(X.^2/ (2*s(1)^2)) - (Y.^2/ (2*s(2)^2)) ); +f = f / sum(f(:)); + + +% build_gaussian_filter_1d - compute a Gaussian filter. +% +% f = build_gaussian_filter_1d(n,s,N); +% +% Copyright (c) 2004 Gabriel PeyrŽ + +function f = build_gaussian_filter_1d(n,s,N) + +if nargin<2 + error('Not enough arguments.'); +end +if nargin<3 + N = n; +end + +if s<=0 + f = zeros(n,1); + f(round((n-1)/2)) = 1; + return; +end + +x = ( (0:n-1)-(n-1)/2 )/(N-1); +f = exp( -x.^2/(2*s^2) ); +f = f / sum(f(:)); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_grad.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_grad.m.svn-base new file mode 100644 index 0000000..019525c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_grad.m.svn-base @@ -0,0 +1,119 @@ +function grad = compute_grad(M,options) + +% compute_grad - compute the gradient of an image using central differences +% +% grad = compute_grad(M,options); +% +% 'options' is a structure: +% - options.h is the sampling step size on both direction (default 1). +% - options.h1 is the sampling step size on X direction (default 1). +% - options.h2 is the sampling step size on Y direction (default 1). +% - options.type is the kind of finite difference. +% type==2 is fwd differences, ie. +% y(i) = (x(i)-x(i-1))/h, with special +% care at boundaries. +% type==1 is forward differences bilinearly interpolated in the +% middle of each pixel (be aware that you have a shift of 1/2 on X and Y for +% the location of the gradient). +% type==1 is backward differences bilinearly interpolated in the +% middle of each pixel (be aware that you have a shift of -1/2 on X and Y for +% the location of the gradient). +% +% Copyright (c) 2004 Gabriel Peyré + +if nargin<2 + options.null = 0; +end + +if ~isfield(options, 'h1') + options.h1 = 1; +end +h1 = options.h1; +if ~isfield(options, 'h2') + options.h2 = 1; +end +h2 = options.h2; + +if isfield(options, 'h') + h1 = options.h; + h2 = options.h; +end + +[n,p] = size(M); + +if isfield(options, 'type') + type = options.type; +else + type = 1; +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% new code, use faster 2D differences +if type==1 + % central differences on X + D1 = [M(2:end,:);M(end,:)]; + D2 = [M(1,:);M(1:end-1,:)]; + grad(:,:,1) = (D1-D2)/(2*h1); + grad(1,:,1) = ( 4*M(2,:) - 3*M(1,:) - M(3,:) )/(2*h1); + grad(end,:,1) = -( 4*M(end-1,:) - 3*M(end,:) - M(end-2,:) )/(2*h1); + % central differences on Y + D1 = [M(:,2:end),M(:,end)]; + D2 = [M(:,1),M(:,1:end-1)]; + grad(:,:,2) = (D1-D2)/(2*h2); + grad(:,1,2) = ( 4*M(:,2) - 3*M(:,1) - M(:,3) )/(2*h2); + grad(:,end,2) = -( 4*M(:,end-1) - 3*M(:,end) - M(:,end-2) )/(2*h2); +elseif type==2 + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % accumulate on Y + MM = ( M + [M(:,2:end),M(:,end)] )/2; + % fwd differences on X + D1 = [MM(2:end,:);MM(end,:)]; + D2 = MM; + grad(:,:,1) = (D1-D2)/h1; + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % accumulate on X + MM = ( M + [M(2:end,:);M(end,:)] )/2; + % fwd differences on Y + D1 = [MM(:,2:end),MM(:,end)]; + D2 = MM; + grad(:,:,2) = (D1-D2)/h2; +elseif type==3 + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % accumulate on Y + MM = ( M + [M(:,1),M(:,1:end-1)] )/2; + % fwd differences on X + D1 = MM; + D2 = [MM(1,:);MM(1:end-1,:)]; + grad(:,:,1) = (D1-D2)/h; + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % accumulate on Y + MM = ( M + [M(1,:);M(1:end-1,:)] )/2; + % fwd differences on Y + D1 = MM; + D2 = [MM(:,1),MM(:,1:end-1)]; + grad(:,:,2) = (D1-D2)/h; +else + error('This kind of differences is not supported.'); +end + +return; + +if type~=1 + % compute the difference in the center of each square + h = zeros(n,p,2); + + for j=1:p-1 + h(:,j,1) = ( grad(:,j,1)+grad(:,j+1,1) )/2; + end + for i=1:n-1 + h(i,:,2) = ( grad(i,:,2)+grad(i+1,:,2) )/2; + end + + if type==2 % fwd differences + grad(1:n-1,1:p-1,:) = h(1:n-1,1:p-1,:); + elseif type==3 % bwd differences + grad(2:n,2:p,:) = h(2:n,2:p,:); + end + +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_vertex_ring.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_vertex_ring.m.svn-base new file mode 100644 index 0000000..eeb6127 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/compute_vertex_ring.m.svn-base @@ -0,0 +1,24 @@ +function vring = compute_vertex_ring(face) + +% compute_vertex_ring - compute the 1 ring of each vertex in a triangulation. +% +% vring = compute_vertex_ring(face); +% +% vring{i} is the set of vertices that are adjacent +% to vertex i. +% +% Copyright (c) 2004 Gabriel PeyrŽ + +[tmp,face] = check_face_vertex([],face); + +nverts = max(max(face)); + +A = triangulation2adjacency(face); +[i,j,s] = find(sparse(A)); + +% create empty cell array +vring{nverts} = []; + +for m = 1:length(i) + vring{i(m)}(end+1) = j(m); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/crop.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/crop.m.svn-base new file mode 100644 index 0000000..dc6824b --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/crop.m.svn-base @@ -0,0 +1,58 @@ +function M = crop(M,n,c) + +% crop - crop an image to reduce its size +% +% M = crop(M,n,c); +% +% n is the new size of the image +% c is the center of the grop +% +% Copyright (c) 2007 Gabriel Peyre + +n0 = size(M); +n0(3) = size(M,3); + +d = 2; +if size(M,3)>3 + % multi-dimensional array + d = 3; +end + +if nargin<2 + n = round( n0/2 ); +end +if nargin<3 || isempty(c) + c = round( n0/2 ); +end + +if isempty(n) + return; +end + +if length(n)==1 + n = repmat(n,d,3); +end +if length(c)==1 + c = repmat(c,d,3); +end +c = round(c); +if length(n)<3 + n(3) = 1; +end + +selx = c(1)-ceil(n(1)/2)+1:c(1)+floor(n(1)/2); +sely = c(2)-ceil(n(2)/2)+1:c(2)+floor(n(2)/2); +if d==2 + selz = 1:size(M,3); +else + selz = c(3)-ceil(n(3)/2)+1:c(3)+floor(n(3)/2); +end + +selx(selx<1) = []; +selx(selx>n0(1)) = []; +sely(sely<1) = []; +sely(sely>n0(2)) = []; +selz(selz<1) = []; +selz(selz>n0(3)) = []; + +M = M(selx,sely,selz); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/getoptions.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/getoptions.m.svn-base new file mode 100644 index 0000000..c1872c8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/getoptions.m.svn-base @@ -0,0 +1,23 @@ +function v = getoptions(options, name, v, mendatory) + +% getoptions - retrieve options parameter +% +% v = getoptions(options, 'entry', v0); +% is equivalent to the code: +% if isfield(options, 'entry') +% v = options.entry; +% else +% v = v0; +% end +% +% Copyright (c) 2007 Gabriel Peyre + +if nargin<4 + mendatory = 0; +end + +if isfield(options, name) + v = eval(['options.' name ';']); +elseif mendatory + error(['You have to provide options.' name '.']); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/imageplot.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/imageplot.m.svn-base new file mode 100644 index 0000000..4dda714 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/imageplot.m.svn-base @@ -0,0 +1,156 @@ +function h1 = imageplot(M,str, a,b,c) + +% imageplot - diplay an image and a title +% +% Example of usages: +% imageplot(M); +% imageplot(M,title); +% imageplot(M,title,1,2,1); % to make subplot(1,2,1); +% +% imageplot(M,options); +% +% If you want to display several images: +% imageplot({M1 M2}, {'title1', 'title2'}); +% +% Copyright (c) 2007 Gabriel Peyre + +if nargin<2 + str = []; +end + +options.null = 0; +if isstruct(str) + options = str; + str = ''; +end + +nbdims = nb_dims(M); + +if iscell(M) + q = length(M); + if nargin<5 + c = 1; + end + if nargin<4 + a = ceil(q/4); + end + if nargin<3 + b = ceil(q/a); + end + if (c-1+q)>(a*b) + warning('a and c parameters not large enough'); + a = ceil((c-1+q)/4); + b = ceil((c-1+q)/a); + end + for i=1:q + if iscell(str) + str1 = str{i}; + else + str1 = str; + end + h{i} = imageplot(M{i},str1, a,b,c-1+i); + end + global axlist; + if not(isempty(axlist)) + linkaxes(axlist, 'xy'); + end + + if nargout>0 + if exist('h') + h1 = h; + else + h1 = []; + end + end + return; +end + +if nargin==5 + global axlist; + global imageplot_size; + if c==1 || isempty(imageplot_size) || imageplot_size~=size(M,1) + clear axlist; + global axlist; + axlist = []; + imageplot_size = size(M,1); + end + axlist(end+1) = subplot(a,b,c); +end + +if nbdims==1 + h = plot(M); axis tight; +elseif size(M,3)<=3 + % gray-scale or color image + if size(M,3)==2 + M = cat(3,M, zeros(size(M,1),size(M,2))); + end + if not(isreal(M)) + if size(M,3)==1 + % turn into color matrix + M = cat(3, real(M), imag(M), zeros(size(M,1),size(M,2))); + else + warning('Complex data'); + M = real(M); + end + end + if size(M,3)==1 + colormap gray(256); + else + colormap jet(256); + end + h = imagesc(rescale(M)); axis image; axis off; +else + + if not(isfield(options, 'center') ) + options.center = .5; % here a value in [0,1] + end + if not(isfield(options, 'sigma')) + options.sigma = .08; % control the width of the non-transparent region + end + a = compute_alpha_map('gaussian', options); % you can plot(a) to see the alphamap + + % volumetric image + h = vol3d('cdata',rescale(M),'texture','2D'); + view(3); + axis tight; % daspect([1 1 .4]) + colormap bone(256); +% alphamap('rampup'); + % alphamap(.06 .* alphamap); + vol3d(h); +end +if not(isempty(str)) + title(str); +end + +if nargout>0 + if exist('h') + h1 = h; + else + h1 = []; + end +end + + +if nargin==5 && c==a*b + linkaxes(axlist, 'xy'); +end + + +function d = nb_dims(x) + +% nb_dims - debugged version of ndims. +% +% d = nb_dims(x); +% +% Copyright (c) 2004 Gabriel Peyré + +if isempty(x) + d = 0; + return; +end + +d = ndims(x); + +if d==2 && (size(x,1)==1 || size(x,2)==1) + d = 1; +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/load_image.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/load_image.m.svn-base new file mode 100644 index 0000000..43a582e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/load_image.m.svn-base @@ -0,0 +1,726 @@ +function M = load_image(type, n, options) + +% load_image - load benchmark images. +% +% M = load_image(name, n, options); +% +% name can be: +% Synthetic images: +% 'chessboard1', 'chessboard', 'square', 'squareregular', 'disk', 'diskregular', 'quaterdisk', '3contours', 'line', +% 'line_vertical', 'line_horizontal', 'line_diagonal', 'line_circle', +% 'parabola', 'sin', 'phantom', 'circ_oscil', +% 'fnoise' (1/f^alpha noise). +% Natural images: +% 'boat', 'lena', 'goldhill', 'mandrill', 'maurice', 'polygons_blurred', or your own. +% +% Copyright (c) 2004 Gabriel Peyre + +if nargin<2 + n = 512; +end +options.null = 0; + +type = lower(type); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% parameters for geometric objects +eta = 0.1; % translation +gamma = 1/sqrt(2); % slope +if isfield( options, 'eta' ) + eta = options.eta; +end +if isfield( options, 'gamma' ) + eta = options.gamma; +end +if isfield( options, 'radius' ) + radius = options.radius; +end +if isfield( options, 'center' ) + center = options.center; +end +if isfield( options, 'center1' ) + center1 = options.center1; +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% for the line, can be vertical / horizontal / diagonal / any +if strcmp(type, 'line_vertical') + eta = 0.5; % translation + gamma = 0; % slope +elseif strcmp(type, 'line_horizontal') + eta = 0.5; % translation + gamma = Inf; % slope +elseif strcmp(type, 'line_diagonal') + eta = 0; % translation + gamma = 1; % slope +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% for some blurring +sigma = 0; +if isfield(options, 'sigma') + sigma = options.sigma; +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +switch lower(type) + case {'letter-x' 'letter-v' 'letter-z' 'letter-y'} + if isfield(options, 'radius') + r = options.radius; + else + r = 10; + end + M = create_letter(type(8), r, n); + + case 'l' + r1 = [.1 .1 .3 .9]; + r2 = [.1 .1 .9 .4]; + M = double( draw_rectangle(r1,n) | draw_rectangle(r2,n) ); + + case 'ellipse' + c1 = [0.15 0.5]; + c2 = [0.85 0.5]; + if isfield(options, 'eccentricity') + eccentricity = options.eccentricity; + else + eccentricity = 1.3; + end + x = linspace(0,1,n); + [Y,X] = meshgrid(x,x); + d = sqrt((X-c1(1)).^2 + (Y-c1(2)).^2) + sqrt((X-c2(1)).^2 + (Y-c2(2)).^2); + M = double( d<=eccentricity*sqrt( sum((c1-c2).^2) ) ); + case 'ellipse-thin' + options.eccentricity = 1.06; + M = load_image('ellipse', n, options); + case 'ellipse-fat' + options.eccentricity = 1.3; + M = load_image('ellipse', n, options); + + case 'square-tube' + if isfield(options, 'tube_width') + w = options.tube_width; + else + w = 0.06; + end + c1 = [.25 .5]; + c2 = [.75 .5]; + r1 = [c1 c1] + .18*[-1 -1 1 1]; + r2 = [c2 c2] + .18*[-1 -1 1 1]; + r3 = [c1(1)-w c1(2)-w c2(1)+w c2(2)+w]; + M = double( draw_rectangle(r1,n) | draw_rectangle(r2,n) | draw_rectangle(r3,n) ); + case 'square-tube-1' + options.tube_width = 0.03; + M = load_image('square-tube', n, options); + case 'square-tube-2' + options.tube_width = 0.06; + M = load_image('square-tube', n, options); + case 'square-tube-3' + options.tube_width = 0.09; + M = load_image('square-tube', n, options); + case 'polygon' + if isfield(options, 'nb_points') + nb_points = options.nb_points; + else + nb_points = 9; + end + if isfield(options, 'scaling') + scaling = options.scaling; + else + scaling = 1; + end + theta = sort( rand(nb_points,1)*2*pi ); + radius = scaling*rescale(rand(nb_points,1), 0.1, 0.93); + points = [cos(theta) sin(theta)] .* repmat(radius, 1,2); + points = (points+1)/2*(n-1)+1; points(end+1,:) = points(1,:); + M = draw_polygons(zeros(n),0.8,{points'}); + [x,y] = ind2sub(size(M),find(M)); + p = 100; m = length(x); + lambda = linspace(0,1,p); + X = n/2 + repmat(x-n/2, [1 p]) .* repmat(lambda, [m 1]); + Y = n/2 + repmat(y-n/2, [1 p]) .* repmat(lambda, [m 1]); + I = round(X) + (round(Y)-1)*n; + M = zeros(n); M(I) = 1; + case 'polygon-8' + options.nb_points = 8; + M = load_image('polygon', n, options); + case 'polygon-10' + options.nb_points = 8; + M = load_image('polygon', n, options); + case 'polygon-12' + options.nb_points = 8; + M = load_image('polygon', n, options); + case 'pacman' + if isfield(options, 'theta') + theta = options.theta; + else + theta = 30 * 2*pi/360; + end + options.radius = 0.45; + M = load_image('disk', n, options); + x = linspace(-1,1,n); + [Y,X] = meshgrid(x,x); + T =atan2(Y,X); + M = M .* (1-(abs(T)0) = A2(X1>0); + + case 'chessboard1' + x = -1:2/(n-1):1; + [Y,X] = meshgrid(x,x); + M = (2*(Y>=0)-1).*(2*(X>=0)-1); + + case 'chessboard' + if ~isfield( options, 'width' ) + width = round(n/16); + else + width = options.width; + end + [Y,X] = meshgrid(0:n-1,0:n-1); + M = mod( floor(X/width)+floor(Y/width), 2 ) == 0; + + case 'square' + if ~isfield( options, 'radius' ) + radius = 0.6; + end + x = -1:2/(n-1):1; + [Y,X] = meshgrid(x,x); + M = max( abs(X),abs(Y) )gamma*Y+0.25 ); + M2 = X.^2 + Y.^2 < 0.6^2; + M = 20 + max(0.5*M1,M2) * 216; + + case 'fnoise' + + % generate an image M whose Fourier spectrum amplitude is + % |M^(omega)| = 1/f^{omega} + if isfield(options, 'alpha') + alpha = options.alpha; + else + alpha = 1; + end + M = gen_noisy_image(n,alpha); + + + case 'gaussiannoise' + % generate an image of filtered noise with gaussian + if isfield(options, 'sigma') + sigma = options.sigma; + else + sigma = 10; + end + M = randn(n); + m = 51; + h = compute_gaussian_filter([m m],sigma/(4*n),[n n]); + M = perform_convolution(M,h); + return; + + case {'bwhorizontal','bwvertical','bwcircle'} + + [Y,X] = meshgrid(0:n-1,0:n-1); + if strcmp(type, 'bwhorizontal') + d = X; + elseif strcmp(type, 'bwvertical') + d = Y; + elseif strcmp(type, 'bwcircle') + d = sqrt( (X-(n-1)/2).^2 + (Y-(n-1)/2).^2 ); + end + if isfield(options, 'stripe_width') + stripe_width = options.stripe_width; + else + stripe_width = 5; + end + if isfield(options, 'black_prop') + black_prop = options.black_prop; + else + black_prop = 0.5; + end + M = double( mod( d/(2*stripe_width),1 )>=black_prop ); + + case 'parabola' + + % curvature + if isfield(options, 'c') + c = options.c; + else + c = 0.1; + end + % angle + if isfield(options, 'theta'); + theta = options.theta; + else + theta = pi/sqrt(2); + end + x = -0.5:1/(n-1):0.5; + [Y,X] = meshgrid(x,x); + Xs = X*cos(theta) + Y*sin(theta); + Y =-X*sin(theta) + Y*cos(theta); X = Xs; + M = Y>c*X.^2; + + case 'sin' + + [Y,X] = meshgrid(-1:2/(n-1):1, -1:2/(n-1):1); + M = Y >= 0.6*cos(pi*X); + M = double(M); + + case 'circ_oscil' + + x = linspace(-1,1,n); + [Y,X] = meshgrid(x,x); + R = sqrt(X.^2+Y.^2); + M = cos(R.^3*50); + + case 'phantom' + + M = phantom(n); + + case 'periodic_bumps' + + if isfield(options, 'nbr_periods') + nbr_periods = options.nbr_periods; + else + nbr_periods = 8; + end + if isfield(options, 'theta') + theta = options.theta; + else + theta = 1/sqrt(2); + end + if isfield(options, 'skew') + skew = options.skew; + else + skew = 1/sqrt(2); + end + + A = [cos(theta), -sin(theta); sin(theta), cos(theta)]; + B = [1 skew; 0 1]; + T = B*A; + x = (0:n-1)*2*pi*nbr_periods/(n-1); + [Y,X] = meshgrid(x,x); + pos = [X(:)'; Y(:)']; + pos = T*pos; + X = reshape(pos(1,:), n,n); + Y = reshape(pos(2,:), n,n); + M = cos(X).*sin(Y); + + case 'noise' + if isfield(options, 'sigma') + sigma = options.sigma; + else + sigma = 1; + end + M = randn(n); + + otherwise + ext = {'gif', 'png', 'jpg', 'bmp', 'tiff', 'pgm', 'ppm'}; + for i=1:length(ext) + name = [type '.' ext{i}]; + if( exist(name) ) + M = imread( name ); + M = double(M); + if not(isempty(n)) && (n~=size(M, 1) || n~=size(M, 2)) && nargin>=2 + M = image_resize(M,n,n); + end + return; + end + end + error( ['Image ' type ' does not exists.'] ); +end + +M = double(M); + +if sigma>0 + h = compute_gaussian_filter( [9 9], sigma/(2*n), [n n]); + M = perform_convolution(M,h); +end + +M = rescale(M) * 256; + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function M = create_letter(a, r, n) + +c = 0.2; +p1 = [c;c]; +p2 = [c; 1-c]; +p3 = [1-c; 1-c]; +p4 = [1-c; c]; +p4 = [1-c; c]; +pc = [0.5;0.5]; +pu = [0.5; c]; + +switch a + case 'x' + point_list = { [p1 p3] [p2 p4] }; + case 'z' + point_list = { [p2 p3 p1 p4] }; + case 'v' + point_list = { [p2 pu p3] }; + case 'y' + point_list = { [p2 pc pu] [pc p3] }; + + +end +% fit image +for i=1:length(point_list) + a = point_list{i}(2:-1:1,:); + a(1,:) = 1-a(1,:); + point_list{i} = round( a*(n-1)+1 ); +end +M = draw_polygons(zeros(n),r,point_list); + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function sk = draw_polygons(mask,r,point_list) + +sk = mask*0; +for i=1:length(point_list) + pl = point_list{i}; + for k=2:length(pl) + sk = draw_line(sk,pl(1,k-1),pl(2,k-1),pl(1,k),pl(2,k),r); + end +end + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function sk = draw_line(sk,x1,y1,x2,y2,r) + + +n = size(sk,1); +[Y,X] = meshgrid(1:n,1:n); +q = 100; +t = linspace(0,1,q); +x = x1*t+x2*(1-t); y = y1*t+y2*(1-t); +if r==0 + x = round( x ); y = round( y ); + sk( x+(y-1)*n ) = 1; +else + for k=1:q + I = find((X-x(k)).^2 + (Y-y(k)).^2 <= r^2 ); + sk(I) = 1; + end +end + + + +function M = gen_noisy_image(n,alpha) + +% gen_noisy_image - generate a noisy cloud-like image. +% +% M = gen_noisy_image(n,alpha); +% +% generate an image M whose Fourier spectrum amplitude is +% |M^(omega)| = 1/f^{omega} +% +% Copyright (c) 2004 Gabriel Peyr? + +if nargin<1 + n = 128; +end +if nargin<2 + alpha = 1.5; +end + +if mod(n(1),2)==0 + x = -n/2:n/2-1; +else + x = -(n-1)/2:(n-1)/2; +end + +[Y,X] = meshgrid(x,x); +d = sqrt(X.^2 + Y.^2) + 0.1; +f = rand(n)*2*pi; + +M = (d.^(-alpha)) .* exp(f*1i); +% M = real(ifft2(fftshift(M))); + +M = ifftshift(M); +M = real( ifft2(M) ); + + +function y = gen_signal_2d(n,alpha) + +% gen_signal_2d - generate a 2D C^\alpha signal of length n x n. +% gen_signal_2d(n,alpha) generate a 2D signal C^alpha. +% +% The signal is scale in [0,1]. +% +% Copyright (c) 2003 Gabriel Peyr? + + + +% new new method + +[Y,X] = meshgrid(0:n-1, 0:n-1); + +A = X+Y+1; +B = X-Y+n+1; + +a = gen_signal(2*n+1, alpha); +b = gen_signal(2*n+1, alpha); +y = a(A).*b(B); +% M = a(1:n)*b(1:n)'; + +return; + + +% new method +h = (-n/2+1):(n/2); h(n/2)=1; +[X,Y] = meshgrid(h,h); +h = sqrt(X.^2+Y.^2+1).^(-alpha-1/2); +h = h .* exp( 2i*pi*rand(n,n) ); +h = fftshift(h); +y = real( ifft2(h) ); + +m1 = min(min(y)); +m2 = max(max(y)); +y = (y-m1)/(m2-m1); + +return; + +%% old code + +y = rand(n,n); +y = y - mean(mean(y)); +for i=1:alpha + y = cumsum(cumsum(y)')'; + y = y - mean(mean(y)); +end +m1 = min(min(y)); +m2 = max(max(y)); +y = (y-m1)/(m2-m1); + + + +function newimg = image_resize(img,p1,q1,r1) + +% image_resize - resize an image using bicubic interpolation +% +% newimg = image_resize(img,nx,ny,nz); +% or +% newimg = image_resize(img,newsize); +% +% Works for 2D, 2D 2 or 3 channels, 3D images. +% +% Copyright (c) 2004 Gabriel Peyr? + +if nargin==2 + % size specified as an array + q1 = p1(2); + if length(p1)>2 + r1 = p1(3); + else + r1 = size(img,3); + end + p1 = p1(1); +end + +if nargin<4 + r1 = size(img,3); +end + +if ndims(img)<2 || ndims(img)>3 + error('Works only for grayscale or color images'); +end + +if ndims(img)==3 && size(img,3)<4 + % RVB image + newimg = zeros(p1,q1, size(img,3)); + for m=1:size(img,3) + newimg(:,:,m) = image_resize(img(:,:,m), p1, q1); + end + return; +elseif ndims(img)==3 + p = size(img,1); + q = size(img,2); + r = size(img,3); + [Y,X,Z] = meshgrid( (0:q-1)/(q-1), (0:p-1)/(p-1), (0:r-1)/(r-1) ); + [YI,XI,ZI] = meshgrid( (0:q1-1)/(q1-1), (0:p1-1)/(p1-1), (0:r1-1)/(r1-1) ); + newimg = interp3( Y,X,Z, img, YI,XI,ZI ,'cubic'); + return; +end + +p = size(img,1); +q = size(img,2); +[Y,X] = meshgrid( (0:q-1)/(q-1), (0:p-1)/(p-1) ); +[YI,XI] = meshgrid( (0:q1-1)/(q1-1), (0:p1-1)/(p1-1) ); +newimg = interp2( Y,X, img, YI,XI ,'cubic'); + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function M = draw_rectangle(r,n) + +x = linspace(0,1,n); +[Y,X] = meshgrid(x,x); +M = double( (X>=r(1)) & (X<=r(3)) & (Y>=r(2)) & (Y<=r(4)) ) ; diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/mmax.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/mmax.m.svn-base new file mode 100644 index 0000000..6c26cc5 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/mmax.m.svn-base @@ -0,0 +1,9 @@ +function m = mmax(A) + +% mmax - maximum entry from a matrix. +% +% m = mmax(A) +% +% Copyright (c) 2004 Gabriel Peyré + +m = max(A(:)); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/nb_dims.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/nb_dims.m.svn-base new file mode 100644 index 0000000..4eca5cd --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/nb_dims.m.svn-base @@ -0,0 +1,18 @@ +function d = nb_dims(x) + +% nb_dims - debugged version of ndims. +% +% d = nb_dims(x); +% +% Copyright (c) 2004 Gabriel Peyré + +if isempty(x) + d = 0; + return; +end + +d = ndims(x); + +if d==2 && (size(x,1)==1 || size(x,2)==1) + d = 1; +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/num2string_fixeddigit.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/num2string_fixeddigit.m.svn-base new file mode 100644 index 0000000..3fd95d5 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/num2string_fixeddigit.m.svn-base @@ -0,0 +1,20 @@ +function str = num2string_fixeddigit(num, d) + +% num2string_fixeddigit - convert a number to string with a fixed number of digits +% +% str = num2string_fixeddigit(num, d); +% +% examples for d=3: 12.3->'012', 99->'099', 999->'999', 1200->'1200' (overflow). +% +% Copyright (c) 2004 Gabriel Peyré + + +num = round(num); + +str = num2str(num); + +for i=1:d-1 + if num<10^i + str = ['0' str]; + end +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_blurring.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_blurring.m.svn-base new file mode 100644 index 0000000..d279ba8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_blurring.m.svn-base @@ -0,0 +1,20 @@ +function M = perform_blurring(M, sigma, options) + +% perform_blurring - gaussian blurs an image +% +% M = perform_blurring(M, sigma, options); +% +% M is the original data +% sigma is the width of blurs (in pixels) +% +% Copyright (c) 2007 Gabriel Peyre + +options.null = 0; +n = size(M,1); + +eta = 4; +p = round((sigma*eta)/2)*2+1; +p = min(p,round(n/2)*2-1); + +h = compute_gaussian_filter(p*[1 1],sigma/(2*n),[n n]); +M = perform_convolution(M, h, options); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_conjugate_gradient.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_conjugate_gradient.m.svn-base new file mode 100644 index 0000000..f7f2ce6 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_conjugate_gradient.m.svn-base @@ -0,0 +1,118 @@ +function [x,err,it] = perform_conjugate_gradient(A,y,options) + + +% perform_conjugate_gradient - perform conjugate gradient +% +% [x,err,k] = perform_conjugate_gradient(A,y,options); +% +% Solves for A*x=y. +% Works both for vector x,y and matrix x,y (parralel soving of many +% linear equations). +% +% Works only for semi-definite matrices. +% +% A can be a matrix or a callback function y=A(x,options). +% In this case, you have to set options.ncols as the number of columns of +% A (if it is a callback). +% +% err monitos the decreasing of |A*x-y|. +% k is the total number of iterations. +% +% You can set: +% options.x is an initial guess +% options.epsilon is maximum error +% options.niter_max is maximum number of error +% +% Copyright (c) 2007 Gabriel Peyre + +options.null = 0; +niter = getoptions(options, 'niter_max', 100); +epsilon = getoptions(options, 'epsilon', 1e-5); + +use_callback = 0; +if not(isnumeric(A)) + use_callback = 1; +end +if isfield(options, 'x') + x = options.x; +else + if use_callback==0 + x = zeros(size(A,2),1); + else + if isfield(options, 'ncols') + x = zeros(options.ncols, 1); + else + error('You have to specify options.ncols'); + end + end +end + + +if norm(y, 'fro') == 0 + normb = epsilon; +else + normb = epsilon * sum(y(:).^2); +end + +if use_callback==0 + r = y - A*x; +else + r = y - feval(A,x,options); +end +r0 = sum(r.^2); +err = [sum(r0)]; +for it=1:niter + if (it==1) + p = r; + else + % search direction + beta = r0./rprev; + p = r + repmat(beta, [size(x,1) 1]).*p; + end + % auxiliary vector + if use_callback==0 + w = A*p; + else + w = feval(A,p,options); + end + d = sum(p .* w); + I = find(abs(d) normb && k < kmax) + if( k==1 ) + p = r; + else + beta = r0/rprev; + % search direction + p = r + beta*p; + end + if use_callback==1 + w = feval(A,p,options); + else + w = A * p; %% auxiliary vector + end + alpha = r0 / (p' * w); %% found optimal alpha in line search + x = x + alpha*p; %% new guess + r = r - alpha*w; %% the residual is in fact r=b-A*x + rprev = r0; %% ... save norm of the old residual + r0 = ( norm(r, 'fro') )^2; %% ... compute norm of new residual + k = k + 1; + err(end+1) = sqrt(r0); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_contour_extraction.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_contour_extraction.m.svn-base new file mode 100644 index 0000000..102031d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_contour_extraction.m.svn-base @@ -0,0 +1,104 @@ +function c = perform_contour_extraction(M, t) + +% perform_contour_extraction - exctract the geometry of +% a black contour. +% +% c = perform_contour_extraction(M, t); +% +% the output is a sampled curve in [0,1]x[0,1] +% +% Copyright (c) 2004 Gabriel PeyrŽ + +if nargin<2 + t = mean(M(:)); +end + +if M(1)lc+1 + warning('More than one curve detected.'); +end + +return; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% old code + +if nargin<2 + hv = 1; +end + +if hv == 2 + M = M'; +end + +N = size(M,1); +xcont = zeros(N,1); +ycont = zeros(N,1); + +for i=1:N + v = M(i,:); + if v(1)==0 + I = find( v~=0 ); + else + I = find( v==0 ); + end + if length(I)==0 + xcont(i) = Inf; % curve is undefined here + ycont(i) = Inf; + else + xcont(i) = (i-1)/(N-1); + ycont(i) = (I(1)-1)/(N-1); + end +end + + +I = find(xcont~=Inf); +xcont = xcont(I); +ycont = ycont(I); + +if nargin>2 + % use wavelet coef to realign the geometry + if hv == 2 + MW = MW'; + end + + NW = size(MW,1); + + k = 0; + t = 0; + for i=1:NW + v = MW(i,:); + I = find(v==1); + if length(I)>1 + xi = (i-1)/(NW-1); + y1 = (I(1)-1)/(NW-1); + y2 = (I(end)-1)/(NW-1); + if y2-y1<0.2 + y = (y1+y2)/2; + k = k+1; + yi = interp1( xcont,ycont, xi, 'linear', 'extrap' ); + t = t + yi-y; + end + end + end + if k>0 + t = t/k; + ycont = ycont - t; + end +end + + +c = [xcont';ycont']; diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_convolution.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_convolution.m.svn-base new file mode 100644 index 0000000..f5ef2f9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_convolution.m.svn-base @@ -0,0 +1,89 @@ +function y = perform_convolution(x,h, bound) + +% perform_convolution - compute convolution with centered filter. +% +% y = perform_convolution(x,h,bound); +% +% The filter 'h' is centred at 0 for odd +% length of the filter, and at 1/2 otherwise. +% +% This works either for 1D or 2D convolution. +% For 2D the matrix have to be square. +% +% 'bound' is either 'per' (periodic extension) +% or 'sym' (symmetric extension). +% +% Copyright (c) 2004 Gabriel Peyré + +if nargin<3 + bound = 'sym'; +end + +if size(x,3)>1 + % for color images + y = x; + for i=1:size(x,3) + y(:,:,i) = perform_convolution(x(:,:,i),h, bound); + end + return; +end + +n = size(x); +p = size(h); + +bound = lower(bound); + +nd = ndims(x); +if size(x,1)==1 || size(x,2)==1 + nd = 1; +end +if nd==1 + n = length(x); + p = length(h); +end + +if strcmp(bound, 'sym') + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % symmetric boundary conditions + + d1 = floor( p/2 ); % padding before + d2 = p-d1-1; % padding after + + if nd==1 + %%%%%%%%%%%%%%%%%%%%%%%%%%%% 1D %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + x = x(:); h = h(:); + xx = [ x(d1:-1:1); x; x(end:-1:end-d2+1) ]; + y = conv(xx,h); + y = y(p:end-p+1); + elseif nd==2 + %%%%%%%%%%%%%%%%%%%%%%%%%%%% 2D %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % double symmetry + xx = x; + xx = [ xx(d1(1):-1:1,:); xx; xx(end:-1:end-d2(1)+1,:) ]; + xx = [ xx(:,d1(2):-1:1), xx, xx(:,end:-1:end-d2(2)+1) ]; + + y = conv2(xx,h); + y = y( (2*d1(1)+1):(2*d1(1)+n(1)), (2*d1(2)+1):(2*d1(2)+n(2)) ); + end + +else + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % periodic boundary conditions + + if p>n + error('h filter should be shorter than x.'); + end + d = floor((p-1)/2); + if nd==1 + x = x(:); h = h(:); + h = [ h(d+1:end); zeros(n-p,1); h(1:d) ]; + y = real( ifft( fft(x).*fft(h) ) ); + else + h = [ h(d(1)+1:end,:); zeros( n(1)-p(1),p(2) ); h( 1:d(1),: ) ]; + h = [ h(:,d(2)+1:end), zeros(n(1),n(2)-p(2)), h(:,1:d(2)) ]; + y = real( ifft2( fft2(x).*fft2(h) ) ); + end + +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_curve_extraction.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_curve_extraction.m.svn-base new file mode 100644 index 0000000..d7550d6 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_curve_extraction.m.svn-base @@ -0,0 +1,74 @@ +function c_list = perform_curve_extraction(M, t, options) + +% perform_curve_extraction - extract level set curves from an image. +% +% c_list = perform_curve_extraction(M, t, options) +% +% 'M' is the image. +% 't' is the level. +% 'c_list' is a cell array of 2D curves. +% 'options' is an optional structure with fields: +% 'max_nb' is the number of curves extracted (only the 'nb' longest). +% 'min_length' is the minimum length (in *pixels*) of extracted curves. +% +% The image is always assumed to lie in [0,1]x[0,(ny-1)/(nx-1)] +% where [nx,ny] = size(M). +% +% Copyright (c) 2004 Gabriel Peyré + +if nargin<2 + t = 0; +end +if nargin<3 + options.null = 0; +end + +[nx,ny] = size(M); +x = 0:1/(nx-1):1; +y = ( 0:1/(ny-1):1 )*( (ny-1)/(nx-1) ); +c = contourc(x,y,M',[t,t]); +clear c_list; +c_list = {}; +k = 0; +p = 1; +while p < size(c, 2) + lc = c(2,p); % length of the curve + cc = c(:,(p+1):(p+lc)); + p = p+lc+1; + k = k+1; + c_list{ k } = cc; +end + +n = length(c_list); + +% filter by nb +if isfield(options, 'max_nb') + max_nb = options.max_nb; + l = zeros(n,1); + for i=1:n + l(i) = length(c_list{i}); + end + [tmp,I] = sort(l); + I = reverse( I ); + I = I( 1:(min(max_nb,n)) ); + c_list1 = c_list; + c_list = {}; + for i = 1:length(I) + c_list{i} = c_list1{I(i)}; + end +end + +% filter by size +if isfield(options, 'min_length') + min_length = options.min_length; + c_list1 = c_list; + c_list = {}; + k = 0; + for i=1:n + l = length(c_list1{i}); + if l>=min_length + k = k+1; + c_list{k} = c_list1{i}; + end + end +end diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_curve_resampling.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_curve_resampling.m.svn-base new file mode 100644 index 0000000..6ed60fc --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_curve_resampling.m.svn-base @@ -0,0 +1,45 @@ +function c1 = perform_curve_resampling(c, s, mode, interp_type) + +% perform_curve_resampling - resample a curve +% +% c1 = perform_curve_resampling(c, n, 'nbpts', intep_type); +% or +% c1 = perform_curve_resampling(c, s, 'dist', intep_type); +% +% Where 'n' is the new number of point in the curve, +% and 's' is the curvilinear absice between two points. +% +% For 'interp_type', see the 'method' parameter in 'help interp1'. +% +% Copyright (c) 2005 Gabriel Peyré + + +if nargin<3 + mode = 'nbpts'; +end +if nargin<4 + interp_type = 'linear'; +end + + +if size(c,2)1 + if not(size(x,2)==size(y,2)) + error('x and y must have same number of columns'); + end + for i=1:size(x,2) + x(:,i) = perform_histogram_equalization(x(:,i),y(:,i),options); + end + return; +end +if rows && size(x,1)>1 + if not(size(x,1)==size(y,1)) + error('x and y must have same number of rows'); + end + for i=1:size(x,1) + x(i,:) = perform_histogram_equalization(x(i,:),y(i,:),options); + end + return; +end +if dim3 && size(x,3)>1 + if not(size(x,3)==size(y,3)) + error('x and y must have same number of dim 3'); + end + for i=1:size(x,3) + x(:,:,i) = perform_histogram_equalization(x(:,:,i),y(:,:,i),options); + end + return; +end + +sx = size(x); +x = x(:); + +if isstr(y) + switch y + case 'gaussian' + y = randn(length(x)); + case 'linear' + y = linspace(0,1,length(x)); + otherwise + error('Unknown density.'); + end +end + +y = y(:); + + +if absval + s = sign(x); + x = abs(x); + y = abs(y); +end + +[vx,Ix] = sort(x); +[vy,Iy] = sort(y); + +nx = length(x); +ny = length(y); + +ax = linspace(1,ny,nx)'; +ay = (1:ny)'; +vx = interp1(ay,vy,ax); +x(Ix) = (1-lambda)*x(Ix) + lambda*vx; + + +if absval + x = x .* s; +end + +x = reshape(x,sx); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_image_resize.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_image_resize.m.svn-base new file mode 100644 index 0000000..442431e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_image_resize.m.svn-base @@ -0,0 +1,53 @@ +function newimg = image_resize(img,p1,q1,r1) + +% image_resize - resize an image using bicubic interpolation +% +% newimg = image_resize(img,nx,ny,nz); +% or +% newimg = image_resize(img,newsize); +% +% Works for 2D, 2D 2 or 3 channels, 3D images. +% +% Copyright (c) 2004 Gabriel Peyré + +if nargin==2 + % size specified as an array + q1 = p1(2); + if length(p1)>2 + r1 = p1(3); + else + r1 = size(img,3); + end + p1 = p1(1); +end + +if nargin<4 + r1 = size(img,3); +end + +if ndims(img)<2 || ndims(img)>3 + error('Works only for grayscale or color images'); +end + +if ndims(img)==3 && size(img,3)<4 + % RVB image + newimg = zeros(p1,q1, size(img,3)); + for m=1:size(img,3) + newimg(:,:,m) = image_resize(img(:,:,m), p1, q1); + end + return; +elseif ndims(img)==3 + p = size(img,1); + q = size(img,2); + r = size(img,3); + [Y,X,Z] = meshgrid( (0:q-1)/(q-1), (0:p-1)/(p-1), (0:r-1)/(r-1) ); + [YI,XI,ZI] = meshgrid( (0:q1-1)/(q1-1), (0:p1-1)/(p1-1), (0:r1-1)/(r1-1) ); + newimg = interp3( Y,X,Z, img, YI,XI,ZI ,'cubic'); + return; +end + +p = size(img,1); +q = size(img,2); +[Y,X] = meshgrid( (0:q-1)/(q-1), (0:p-1)/(p-1) ); +[YI,XI] = meshgrid( (0:q1-1)/(q1-1), (0:p1-1)/(p1-1) ); +newimg = interp2( Y,X, img, YI,XI ,'cubic'); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_tensor_recomp.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_tensor_recomp.m.svn-base new file mode 100644 index 0000000..6151ad4 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_tensor_recomp.m.svn-base @@ -0,0 +1,22 @@ +function T = perform_tensor_recomp(e1,e2,l1,l2) + +% perform_tensor_recomp - create the tensor field corresponding to the given eigendecomposition. +% +% T = perform_tensor_recomp(e1,e2,l1,l2); +% +% 'e1(i,j,:)' is the main eigenvector at location (i,j) +% with associated largest eigenvalue 'l1(i,j)'. +% 'e2(i,j,:)' is the second eigenvector at location (i,j) +% with associated smallest eigenvalue 'l2(i,j)'. +% +% You have +% T = l1*e1*e1' + l2*e2*e2' +% +% Copyright (c) 2004 Gabriel Peyré + + +T = zeros( [size(l1),2,2] ); +T(:,:,1,1) = l1.*e1(:,:,1).^2 + l2.*e2(:,:,1).^2; +T(:,:,1,2) = l1.*e1(:,:,1).*e1(:,:,2) + l2.*e2(:,:,1).*e2(:,:,2); +T(:,:,2,1) = T(:,:,1,2); +T(:,:,2,2) = l1.*e1(:,:,2).^2 + l2.*e2(:,:,2).^2; diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_vf_normalization.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_vf_normalization.m.svn-base new file mode 100644 index 0000000..bf9347c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/perform_vf_normalization.m.svn-base @@ -0,0 +1,13 @@ +function v2 = perform_vf_normalization(v1) + +% perform_vf_normalization - renormalize a vf. +% +% v2 = perform_vf_normalization(v1); +% +% Copyright (c) 2004 Gabriel Peyré + + +n = sum(v1.^2,3); +I = find(nsize(vertex,2) + vertex = vertex'; +end + +x = [ vertex(1,edges(1,:)); vertex(1,edges(2,:)) ]; +y = [ vertex(2,edges(1,:)); vertex(2,edges(2,:)) ]; +if size(vertex,1)==2 + h = line(x,y, 'color', color); +elseif size(vertex,1)==3 + z = [ vertex(3,edges(1,:)); vertex(3,edges(2,:)) ]; + h = line(x,y,z, 'color', color); +else + error('Works only for 2D and 3D plots'); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/plot_mesh.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/plot_mesh.m.svn-base new file mode 100644 index 0000000..d5e4a91 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/plot_mesh.m.svn-base @@ -0,0 +1,89 @@ +function h = plot_mesh(vertex,face,options) + +% plot_mesh - plot a 3D mesh. +% +% plot_mesh(vertex,face, options); +% +% 'options' is a structure that may contains: +% - 'normal' : a (nvertx x 3) array specifying the normals at each vertex. +% - 'edge_color' : a float specifying the color of the edges. +% - 'face_color' : a float specifying the color of the faces. +% - 'face_vertex_color' : a color per vertex or face. +% - 'vertex' +% +% See also: mesh_previewer. +% +% Copyright (c) 2004 Gabriel PeyrŽ + + +if nargin<2 + error('Not enough arguments.'); +end +if nargin<3 + options.null = 0; +end + + +% can flip to accept data in correct ordering +if (size(vertex,1)==3 || size(vertex,1)==2) && size(vertex,2)~=3 + vertex = vertex'; +end +if size(face,1)==3 && size(face,2)~=3 + face = face'; +end + +if size(face,2)~=3 || (size(vertex,2)~=3 && size(vertex,2)~=2) + error('face or vertex does not have correct format.'); +end + + +if ~isfield(options, 'normal') + options.normal = []; +end +normal = options.normal; + +if ~isfield(options, 'face_color') + options.face_color = 0.7; +end +face_color = options.face_color; + +if ~isfield(options, 'edge_color') + options.edge_color = 0; +end +edge_color = options.edge_color; + +if ~isfield(options, 'face_vertex_color') + options.face_vertex_color = zeros(size(vertex,1),1); +end +face_vertex_color = options.face_vertex_color; + + +if isempty(face_vertex_color) + h = patch('vertices',vertex,'faces',face,'facecolor',[face_color face_color face_color],'edgecolor',[edge_color edge_color edge_color]); +else + nverts = size(vertex,1); + % vertex_color = rand(nverts,1); + if size(face_vertex_color,1)==size(vertex,1) + shading_type = 'interp'; + else + shading_type = 'flat'; + end + h = patch('vertices',vertex,'faces',face,'FaceVertexCData',face_vertex_color, 'FaceColor',shading_type); +end +colormap gray(256); +lighting phong; +camlight infinite; +camproj('perspective'); +axis square; +axis off; + +if ~isempty(normal) + % plot the normals + hold on; + quiver3(vertex(:,1),vertex(:,2),vertex(:,3),normal(:,1),normal(:,2),normal(:,3),0.8); + hold off; +end + +axis tight; +axis equal; +cameramenu; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/prod_vf_sf.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/prod_vf_sf.m.svn-base new file mode 100644 index 0000000..8a27c4a --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/prod_vf_sf.m.svn-base @@ -0,0 +1,16 @@ +function v2 = prod_vf_sf(v1,s) + +% prod_vf_sf - compute the product of a vector field by a scalar field. +% +% v2 = prod_vf_sf(v1,s) +% +% The result is the vector field defined by pointwise product. +% +% Copyright (c) 2004 Gabriel Peyré + + +v2 = zeros(size(v1)); + +for i=1:size(v1,3) + v2(:,:,i) = v1(:,:,i).*s; +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/progressbar.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/progressbar.m.svn-base new file mode 100644 index 0000000..9ab2f2d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/progressbar.m.svn-base @@ -0,0 +1,45 @@ +function progressbar(n,N,w) + +% progressbar - display a progress bar +% +% progressbar(n,N,w); +% +% displays the progress of n out of N. +% n should start at 1. +% w is the width of the bar (default w=20). +% +% Copyright (c) Gabriel PeyrŽ 2006 + +if nargin<3 + w = 20; +end + +% progress char +cprog = '.'; +cprog1 = '*'; +% begining char +cbeg = '['; +% ending char +cend = ']'; + +p = min( floor(n/N*(w+1)), w); + +global pprev; +if isempty(pprev) + pprev = -1; +end + +if not(p==pprev) + ps = repmat(cprog, [1 w]); + ps(1:p) = cprog1; + ps = [cbeg ps cend]; + if n>1 + % clear previous string + fprintf( repmat('\b', [1 length(ps)]) ); + end + fprintf(ps); +end +pprev = p; +if n==N + fprintf('\n'); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/read_mesh.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/read_mesh.m.svn-base new file mode 100644 index 0000000..63a65cf --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/read_mesh.m.svn-base @@ -0,0 +1,81 @@ +function [vertex,face,normal, uv, sphparam] = read_mesh(file) + +% read_mesh - read data from OFF, PLY, SMF or WRL file. +% +% [vertex,face] = read_mesh(filename); +% [vertex,face] = read_mesh; % open a dialog box +% +% 'vertex' is a 'nb.vert x 3' array specifying the position of the vertices. +% 'face' is a 'nb.face x 3' array specifying the connectivity of the mesh. +% +% Supported file extensions are: .off, .ply, .wrl, .obj, .m, .gim. +% +% Copyright (c) 2007 Gabriel Peyre + +switch file + case {'triangle' 'square' 'square1' 'L' 'L1' 'tetra' 'oct' 'ico' 'rand'} + [vertex,face] = compute_base_mesh(file); + [vertex,face] = check_face_vertex(vertex,face); + return; +end + +if nargin==0 + [f, pathname] = uigetfile({'*.off;*.ply;*.wrl;*.smf;*.png;*.jpg;*.gim;*.tet','*.off,*.ply,*.wrl,*.smf,*.png,*.png,*.gim,*.tet Files'},'Pick a file'); + file = [pathname,f]; +end + +ext = {'off' 'ply' 'wrl' 'smf' 'png' 'jpg' 'gim' 'tet'}; +next = length(ext); + +i = strfind(file,'.'); +if isempty(i) + % try to determine extension + found = 0; + for i=1:next + if exist([file '.' ext{i}])==2 + found = 1; + file = [file '.' ext{i}]; + break; + end + end + if found==0 + error('File not found with matching extension.'); + end + i = strfind(file,'.'); +end +ext = file(i+1:end); +name = file(1:i-1); + +switch lower(ext) + case 'off' + [vertex,face] = read_off(file); + case 'ply' + [vertex,face] = read_ply(file); + case 'smf' + [vertex,face] = read_smf(file); + case 'wrl' + [vertex,face] = read_wrl(file); + case 'obj' + [vertex,face,normal] = read_obj(file); + case 'tet' + [vertex,face] = read_tet(file); + case 'm' + if isfield(options, 'type') + type = options.type; + else + type = 'gim'; + end + [vertex,face,normal, uv, sphparam] = read_mfile(file, type); + case 'gim' + sub_sample = 1; + [M,Normal] = load_gim(name, options); + [vertex,face] = convert_gim2mesh(M, sub_sample); + normal = convert_gim2mesh(Normal, sub_sample); + + otherwise + error('Unknown extension.'); +end + +if strcmp(name, 'mannequin') + vertex = -vertex; +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/read_off.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/read_off.m.svn-base new file mode 100644 index 0000000..5342927 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/read_off.m.svn-base @@ -0,0 +1,46 @@ +function [vertex,face] = read_off(filename) + +% read_off - read data from OFF file. +% +% [vertex,face] = read_off(filename); +% +% 'vertex' is a 'nb.vert x 3' array specifying the position of the vertices. +% 'face' is a 'nb.face x 3' array specifying the connectivity of the mesh. +% +% Copyright (c) 2003 Gabriel Peyré + + +fid = fopen(filename,'r'); +if( fid==-1 ) + error('Can''t open the file.'); + return; +end + +str = fgets(fid); % -1 if eof +if ~strcmp(str(1:3), 'OFF') + error('The file is not a valid OFF one.'); +end + +str = fgets(fid); +[a,str] = strtok(str); nvert = str2num(a); +[a,str] = strtok(str); nface = str2num(a); + + + +[A,cnt] = fscanf(fid,'%f %f %f', 3*nvert); +if cnt~=3*nvert + warning('Problem in reading vertices.'); +end +A = reshape(A, 3, cnt/3); +vertex = A; +% read Face 1 1088 480 1022 +[A,cnt] = fscanf(fid,'%d %d %d %d\n', 4*nface); +if cnt~=4*nface + warning('Problem in reading faces.'); +end +A = reshape(A, 4, cnt/4); +face = A(2:4,:)+1; + + +fclose(fid); + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/rescale.m.svn-base b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/rescale.m.svn-base new file mode 100644 index 0000000..5c0fb61 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/.svn/text-base/rescale.m.svn-base @@ -0,0 +1,25 @@ +function y = rescale(x,a,b) + +% rescale - rescale data in [a,b] +% +% y = rescale(x,a,b); +% +% Copyright (c) 2004 Gabriel Peyr? + +if nargin<2 + a = 0; +end +if nargin<3 + b = 1; +end + +m = min(x(:)); +M = max(x(:)); + +if M-m0); + +return; + + +nvert = max(max(face)); +nface = size(face,1); +A = spalloc(nvert,nvert,3*nface); + +for i=1:nface + for k=1:3 + kk = mod(k,3)+1; + if nargin<2 + A(face(i,k),face(i,kk)) = 1; + else + v = vertex(:,face(i,k))-vertex(:,face(i,kk)); + A(face(i,k),face(i,kk)) = sqrt( sum(v.^2) ); % euclidean distance + end + end +end +% make sure that all edges are symmetric +A = max(A,A'); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/check_face_vertex.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/check_face_vertex.m new file mode 100644 index 0000000..f5b768b --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/check_face_vertex.m @@ -0,0 +1,29 @@ +function [vertex,face] = check_face_vertex(vertex,face, options) + +% check_face_vertex - check that vertices and faces have the correct size +% +% [vertex,face] = check_face_vertex(vertex,face); +% +% Copyright (c) 2007 Gabriel Peyre + +vertex = check_size(vertex); +face = check_size(face); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function a = check_size(a) +if isempty(a) + return; +end +if size(a,1)>size(a,2) + a = a'; +end +if size(a,1)<3 && size(a,2)==3 + a = a'; +end +if size(a,1)<=3 && size(a,2)>=3 && sum(abs(a(:,3)))==0 + % for flat triangles + a = a'; +end +if size(a,1)~=3 + error('face or vertex is not of correct size'); +end diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/clamp.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/clamp.m new file mode 100644 index 0000000..32bb8ee --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/clamp.m @@ -0,0 +1,19 @@ +function y = clamp(x,a,b) + +% clamp - clamp a value +% +% y = clamp(x,a,b); +% +% Default is [a,b]=[0,1]. +% +% Copyright (c) 2004 Gabriel Peyré + +if nargin<2 + a = 0; +end +if nargin<3 + b = 1; +end + +y = max(x,a); +y = min(y,b); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_cuvilinear_abscice.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_cuvilinear_abscice.m new file mode 100644 index 0000000..baec7d7 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_cuvilinear_abscice.m @@ -0,0 +1,19 @@ +function s = compute_cuvilinear_abscice(c) + +% compute_cuvilinear_abscice - compute the curvilinear abscice of a curve +% +% s = compute_cuvilinear_abscice(c); +% +% A curve is a ndims x npts matrix. +% +% Copyright (c) 2004 Gabriel Peyré + +if size(c,1)>size(c,2) + c = c'; +end + +npts = size(c,2); +D = c(:,2:end)-c(:,1:(end-1)); +s = zeros(npts,1); +s(2:end) = sqrt( sum(D.^2,1) ); +s = cumsum(s); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_distance_to_points.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_distance_to_points.m new file mode 100644 index 0000000..828633f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_distance_to_points.m @@ -0,0 +1,21 @@ +function D = compute_distance_to_points(X,seeds) + +% compute_distance_to_points - compute euclidean distance to a set of points. +% +% D = compute_distance_to_points(X,seeds) +% +% 'X' is a [d,n] matrix, X(:,i) is the ith point living in R^d. +% 'seeds' is a [d,k] matrix. +% D(i,j) = |X(:,j)-seeds(:,i)|^2. +% +% Copyright (c) 2004 Gabriel Peyré + +nbCluster = size(seeds,2); +n = size(X,2); +D = zeros(nbCluster,n); +d = size(X,1); + +for k=1:nbCluster + % distance to seed + D(k,:) = sum( (X - repmat(seeds(:,k),1,n)).^2 ); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_edge_face_ring.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_edge_face_ring.m new file mode 100644 index 0000000..28c084f --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_edge_face_ring.m @@ -0,0 +1,41 @@ +function A = compute_edge_face_ring(face) + +% compute_edge_face_ring - compute faces adjacent to each edge +% +% e2f = compute_edge_face_ring(face); +% +% e2f(i,j) and e2f(j,i) are the number of the two faces adjacent to +% edge (i,j). +% +% Copyright (c) 2007 Gabriel Peyre + + +[tmp,face] = check_face_vertex([],face); + +n = max(face(:)); +m = size(face,2); +i = [face(1,:) face(2,:) face(3,:)]; +j = [face(2,:) face(3,:) face(1,:)]; +s = [1:m 1:m 1:m]; + +% first without duplicate +[tmp,I] = unique( i+(max(i)+1)*j ); +% remaining items +J = setdiff(1:length(s), I); + +% flip the duplicates +i1 = [i(I) j(J)]; +j1 = [j(I) i(J)]; +s = [s(I) s(J)]; + +% remove doublons +[tmp,I] = unique( i1+(max(i1)+1)*j1 ); +i1 = i1(I); j1 = j1(I); s = s(I); + +A = sparse(i1,j1,s,n,n); + + +% add missing points +I = find( A'~=0 ); +I = I( A(I)==0 ); +A( I ) = -1; diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_edges.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_edges.m new file mode 100644 index 0000000..7771da2 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_edges.m @@ -0,0 +1,37 @@ +function edges = compute_edges(face) + +% compute_edges - from a list of faces, compute the list of (unique) edges. +% +% edge = compute_edges(face); +% +% Copyright (c) 2004 Gabriel Peyré + +if isempty(face) + edges=[]; + return; +end + +[tmp,face] = check_face_vertex([],face); + +if size(face,1)~=3 + error('Problem'); +end +d = size(face,1); + +edges = []; +for i=1:d + sel = [i, mod(i,d)+1]; + edges = [edges, face(sel,:)]; +end + +% sort pair of vertex +I = find(edges(1,:)>edges(2,:)); +J = find(edges(1,:)<=edges(2,:)); +edges = [edges(end:-1:1,I), edges(:,J)]; + +% unique id +m = max(edges(:))+100; +id = edges(1,:) + m*edges(2,:); + +[tmp,I] = unique(id); +edges = edges(:,I); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_gaussian_filter.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_gaussian_filter.m new file mode 100644 index 0000000..2646f8c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_gaussian_filter.m @@ -0,0 +1,108 @@ +function f = compute_gaussian_filter(n,s,N); + +% compute_gaussian_filter - compute a 1D or 2D Gaussian filter. +% +% f = compute_gaussian_filter(n,s,N); +% +% 'n' is the size of the filter, odd for no phase in the filter. +% (if too small it will alterate the filter). +% use n=[n1,n2] for a 2D filter +% 's' is the standard deviation of the filter. +% 'N' is the size of the big signal/image (supposed to lie in [0,1] or [0,1]x[0,1]). +% use N=[N1,N2] for a 2D filter. +% +% The equation (in 1D) is +% f[k] = exp( -(x(k)^2/(2*s^2)) ); +% where x span [-1/2,1/2]. +% +% The filter is normalised so that it sums to 1. +% +% Copyright (c) 2004 Gabriel PeyrŽ + +nd = 1; +if length(n)>1 & n(2)>1 + nd = 2; +end + +if nd==2 && length(s)==1 + s = [s s]; +end +if nd==2 && length(N)==1 + N = [N N]; +end + +if nd==1 + f = build_gaussian_filter_1d(n,s,N); +else + f = build_gaussian_filter_2d(n,s,N); +end + + + + +% build_gaussian_filter_2d - compute a 2D Gaussian filter. +% +% f = build_gaussian_filter_2d(n,s,N); +% +% 'n' is the size of the filter, odd for no phase in the filter. +% (if too small it will alterate the filter). +% 's' is the standard deviation of the filter. +% 'N' is the size of the big image (supposed to lie in [0,1]x[0,1]). +% +% The filter is normalised so that it sums to 1. +% +% Copyright (c) 2004 Gabriel PeyrŽ + +function f = build_gaussian_filter_2d(n,s,N) + +if nargin<2 + error('Not enough arguments.'); +end +if nargin<3 + N = n; +end + +if length(N)==1 || N(1)==1 + N = N(:); N = [N N]; +end +if length(s)==1 || s(1)==1 + s = s(:); s = [s s]; +end + +if s<=0 + f = zeros(n); + f(round((n-1)/2),round((n-1)/2)) = 1; + return; +end + +x = ( (0:n(1)-1)-(n(1)-1)/2 )/(N(1)-1); +y = ( (0:n(2)-1)-(n(2)-1)/2 )/(N(2)-1); +[Y,X] = meshgrid(y,x); +f = exp( -(X.^2/ (2*s(1)^2)) - (Y.^2/ (2*s(2)^2)) ); +f = f / sum(f(:)); + + +% build_gaussian_filter_1d - compute a Gaussian filter. +% +% f = build_gaussian_filter_1d(n,s,N); +% +% Copyright (c) 2004 Gabriel PeyrŽ + +function f = build_gaussian_filter_1d(n,s,N) + +if nargin<2 + error('Not enough arguments.'); +end +if nargin<3 + N = n; +end + +if s<=0 + f = zeros(n,1); + f(round((n-1)/2)) = 1; + return; +end + +x = ( (0:n-1)-(n-1)/2 )/(N-1); +f = exp( -x.^2/(2*s^2) ); +f = f / sum(f(:)); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_grad.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_grad.m new file mode 100644 index 0000000..019525c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_grad.m @@ -0,0 +1,119 @@ +function grad = compute_grad(M,options) + +% compute_grad - compute the gradient of an image using central differences +% +% grad = compute_grad(M,options); +% +% 'options' is a structure: +% - options.h is the sampling step size on both direction (default 1). +% - options.h1 is the sampling step size on X direction (default 1). +% - options.h2 is the sampling step size on Y direction (default 1). +% - options.type is the kind of finite difference. +% type==2 is fwd differences, ie. +% y(i) = (x(i)-x(i-1))/h, with special +% care at boundaries. +% type==1 is forward differences bilinearly interpolated in the +% middle of each pixel (be aware that you have a shift of 1/2 on X and Y for +% the location of the gradient). +% type==1 is backward differences bilinearly interpolated in the +% middle of each pixel (be aware that you have a shift of -1/2 on X and Y for +% the location of the gradient). +% +% Copyright (c) 2004 Gabriel Peyré + +if nargin<2 + options.null = 0; +end + +if ~isfield(options, 'h1') + options.h1 = 1; +end +h1 = options.h1; +if ~isfield(options, 'h2') + options.h2 = 1; +end +h2 = options.h2; + +if isfield(options, 'h') + h1 = options.h; + h2 = options.h; +end + +[n,p] = size(M); + +if isfield(options, 'type') + type = options.type; +else + type = 1; +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% new code, use faster 2D differences +if type==1 + % central differences on X + D1 = [M(2:end,:);M(end,:)]; + D2 = [M(1,:);M(1:end-1,:)]; + grad(:,:,1) = (D1-D2)/(2*h1); + grad(1,:,1) = ( 4*M(2,:) - 3*M(1,:) - M(3,:) )/(2*h1); + grad(end,:,1) = -( 4*M(end-1,:) - 3*M(end,:) - M(end-2,:) )/(2*h1); + % central differences on Y + D1 = [M(:,2:end),M(:,end)]; + D2 = [M(:,1),M(:,1:end-1)]; + grad(:,:,2) = (D1-D2)/(2*h2); + grad(:,1,2) = ( 4*M(:,2) - 3*M(:,1) - M(:,3) )/(2*h2); + grad(:,end,2) = -( 4*M(:,end-1) - 3*M(:,end) - M(:,end-2) )/(2*h2); +elseif type==2 + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % accumulate on Y + MM = ( M + [M(:,2:end),M(:,end)] )/2; + % fwd differences on X + D1 = [MM(2:end,:);MM(end,:)]; + D2 = MM; + grad(:,:,1) = (D1-D2)/h1; + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % accumulate on X + MM = ( M + [M(2:end,:);M(end,:)] )/2; + % fwd differences on Y + D1 = [MM(:,2:end),MM(:,end)]; + D2 = MM; + grad(:,:,2) = (D1-D2)/h2; +elseif type==3 + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % accumulate on Y + MM = ( M + [M(:,1),M(:,1:end-1)] )/2; + % fwd differences on X + D1 = MM; + D2 = [MM(1,:);MM(1:end-1,:)]; + grad(:,:,1) = (D1-D2)/h; + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % accumulate on Y + MM = ( M + [M(1,:);M(1:end-1,:)] )/2; + % fwd differences on Y + D1 = MM; + D2 = [MM(:,1),MM(:,1:end-1)]; + grad(:,:,2) = (D1-D2)/h; +else + error('This kind of differences is not supported.'); +end + +return; + +if type~=1 + % compute the difference in the center of each square + h = zeros(n,p,2); + + for j=1:p-1 + h(:,j,1) = ( grad(:,j,1)+grad(:,j+1,1) )/2; + end + for i=1:n-1 + h(i,:,2) = ( grad(i,:,2)+grad(i+1,:,2) )/2; + end + + if type==2 % fwd differences + grad(1:n-1,1:p-1,:) = h(1:n-1,1:p-1,:); + elseif type==3 % bwd differences + grad(2:n,2:p,:) = h(2:n,2:p,:); + end + +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_vertex_ring.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_vertex_ring.m new file mode 100644 index 0000000..eeb6127 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/compute_vertex_ring.m @@ -0,0 +1,24 @@ +function vring = compute_vertex_ring(face) + +% compute_vertex_ring - compute the 1 ring of each vertex in a triangulation. +% +% vring = compute_vertex_ring(face); +% +% vring{i} is the set of vertices that are adjacent +% to vertex i. +% +% Copyright (c) 2004 Gabriel PeyrŽ + +[tmp,face] = check_face_vertex([],face); + +nverts = max(max(face)); + +A = triangulation2adjacency(face); +[i,j,s] = find(sparse(A)); + +% create empty cell array +vring{nverts} = []; + +for m = 1:length(i) + vring{i(m)}(end+1) = j(m); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/crop.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/crop.m new file mode 100644 index 0000000..dc6824b --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/crop.m @@ -0,0 +1,58 @@ +function M = crop(M,n,c) + +% crop - crop an image to reduce its size +% +% M = crop(M,n,c); +% +% n is the new size of the image +% c is the center of the grop +% +% Copyright (c) 2007 Gabriel Peyre + +n0 = size(M); +n0(3) = size(M,3); + +d = 2; +if size(M,3)>3 + % multi-dimensional array + d = 3; +end + +if nargin<2 + n = round( n0/2 ); +end +if nargin<3 || isempty(c) + c = round( n0/2 ); +end + +if isempty(n) + return; +end + +if length(n)==1 + n = repmat(n,d,3); +end +if length(c)==1 + c = repmat(c,d,3); +end +c = round(c); +if length(n)<3 + n(3) = 1; +end + +selx = c(1)-ceil(n(1)/2)+1:c(1)+floor(n(1)/2); +sely = c(2)-ceil(n(2)/2)+1:c(2)+floor(n(2)/2); +if d==2 + selz = 1:size(M,3); +else + selz = c(3)-ceil(n(3)/2)+1:c(3)+floor(n(3)/2); +end + +selx(selx<1) = []; +selx(selx>n0(1)) = []; +sely(sely<1) = []; +sely(sely>n0(2)) = []; +selz(selz<1) = []; +selz(selz>n0(3)) = []; + +M = M(selx,sely,selz); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/getoptions.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/getoptions.m new file mode 100644 index 0000000..c1872c8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/getoptions.m @@ -0,0 +1,23 @@ +function v = getoptions(options, name, v, mendatory) + +% getoptions - retrieve options parameter +% +% v = getoptions(options, 'entry', v0); +% is equivalent to the code: +% if isfield(options, 'entry') +% v = options.entry; +% else +% v = v0; +% end +% +% Copyright (c) 2007 Gabriel Peyre + +if nargin<4 + mendatory = 0; +end + +if isfield(options, name) + v = eval(['options.' name ';']); +elseif mendatory + error(['You have to provide options.' name '.']); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/imageplot.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/imageplot.m new file mode 100644 index 0000000..4dda714 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/imageplot.m @@ -0,0 +1,156 @@ +function h1 = imageplot(M,str, a,b,c) + +% imageplot - diplay an image and a title +% +% Example of usages: +% imageplot(M); +% imageplot(M,title); +% imageplot(M,title,1,2,1); % to make subplot(1,2,1); +% +% imageplot(M,options); +% +% If you want to display several images: +% imageplot({M1 M2}, {'title1', 'title2'}); +% +% Copyright (c) 2007 Gabriel Peyre + +if nargin<2 + str = []; +end + +options.null = 0; +if isstruct(str) + options = str; + str = ''; +end + +nbdims = nb_dims(M); + +if iscell(M) + q = length(M); + if nargin<5 + c = 1; + end + if nargin<4 + a = ceil(q/4); + end + if nargin<3 + b = ceil(q/a); + end + if (c-1+q)>(a*b) + warning('a and c parameters not large enough'); + a = ceil((c-1+q)/4); + b = ceil((c-1+q)/a); + end + for i=1:q + if iscell(str) + str1 = str{i}; + else + str1 = str; + end + h{i} = imageplot(M{i},str1, a,b,c-1+i); + end + global axlist; + if not(isempty(axlist)) + linkaxes(axlist, 'xy'); + end + + if nargout>0 + if exist('h') + h1 = h; + else + h1 = []; + end + end + return; +end + +if nargin==5 + global axlist; + global imageplot_size; + if c==1 || isempty(imageplot_size) || imageplot_size~=size(M,1) + clear axlist; + global axlist; + axlist = []; + imageplot_size = size(M,1); + end + axlist(end+1) = subplot(a,b,c); +end + +if nbdims==1 + h = plot(M); axis tight; +elseif size(M,3)<=3 + % gray-scale or color image + if size(M,3)==2 + M = cat(3,M, zeros(size(M,1),size(M,2))); + end + if not(isreal(M)) + if size(M,3)==1 + % turn into color matrix + M = cat(3, real(M), imag(M), zeros(size(M,1),size(M,2))); + else + warning('Complex data'); + M = real(M); + end + end + if size(M,3)==1 + colormap gray(256); + else + colormap jet(256); + end + h = imagesc(rescale(M)); axis image; axis off; +else + + if not(isfield(options, 'center') ) + options.center = .5; % here a value in [0,1] + end + if not(isfield(options, 'sigma')) + options.sigma = .08; % control the width of the non-transparent region + end + a = compute_alpha_map('gaussian', options); % you can plot(a) to see the alphamap + + % volumetric image + h = vol3d('cdata',rescale(M),'texture','2D'); + view(3); + axis tight; % daspect([1 1 .4]) + colormap bone(256); +% alphamap('rampup'); + % alphamap(.06 .* alphamap); + vol3d(h); +end +if not(isempty(str)) + title(str); +end + +if nargout>0 + if exist('h') + h1 = h; + else + h1 = []; + end +end + + +if nargin==5 && c==a*b + linkaxes(axlist, 'xy'); +end + + +function d = nb_dims(x) + +% nb_dims - debugged version of ndims. +% +% d = nb_dims(x); +% +% Copyright (c) 2004 Gabriel Peyré + +if isempty(x) + d = 0; + return; +end + +d = ndims(x); + +if d==2 && (size(x,1)==1 || size(x,2)==1) + d = 1; +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/load_image.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/load_image.m new file mode 100644 index 0000000..43a582e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/load_image.m @@ -0,0 +1,726 @@ +function M = load_image(type, n, options) + +% load_image - load benchmark images. +% +% M = load_image(name, n, options); +% +% name can be: +% Synthetic images: +% 'chessboard1', 'chessboard', 'square', 'squareregular', 'disk', 'diskregular', 'quaterdisk', '3contours', 'line', +% 'line_vertical', 'line_horizontal', 'line_diagonal', 'line_circle', +% 'parabola', 'sin', 'phantom', 'circ_oscil', +% 'fnoise' (1/f^alpha noise). +% Natural images: +% 'boat', 'lena', 'goldhill', 'mandrill', 'maurice', 'polygons_blurred', or your own. +% +% Copyright (c) 2004 Gabriel Peyre + +if nargin<2 + n = 512; +end +options.null = 0; + +type = lower(type); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% parameters for geometric objects +eta = 0.1; % translation +gamma = 1/sqrt(2); % slope +if isfield( options, 'eta' ) + eta = options.eta; +end +if isfield( options, 'gamma' ) + eta = options.gamma; +end +if isfield( options, 'radius' ) + radius = options.radius; +end +if isfield( options, 'center' ) + center = options.center; +end +if isfield( options, 'center1' ) + center1 = options.center1; +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% for the line, can be vertical / horizontal / diagonal / any +if strcmp(type, 'line_vertical') + eta = 0.5; % translation + gamma = 0; % slope +elseif strcmp(type, 'line_horizontal') + eta = 0.5; % translation + gamma = Inf; % slope +elseif strcmp(type, 'line_diagonal') + eta = 0; % translation + gamma = 1; % slope +end + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% for some blurring +sigma = 0; +if isfield(options, 'sigma') + sigma = options.sigma; +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +switch lower(type) + case {'letter-x' 'letter-v' 'letter-z' 'letter-y'} + if isfield(options, 'radius') + r = options.radius; + else + r = 10; + end + M = create_letter(type(8), r, n); + + case 'l' + r1 = [.1 .1 .3 .9]; + r2 = [.1 .1 .9 .4]; + M = double( draw_rectangle(r1,n) | draw_rectangle(r2,n) ); + + case 'ellipse' + c1 = [0.15 0.5]; + c2 = [0.85 0.5]; + if isfield(options, 'eccentricity') + eccentricity = options.eccentricity; + else + eccentricity = 1.3; + end + x = linspace(0,1,n); + [Y,X] = meshgrid(x,x); + d = sqrt((X-c1(1)).^2 + (Y-c1(2)).^2) + sqrt((X-c2(1)).^2 + (Y-c2(2)).^2); + M = double( d<=eccentricity*sqrt( sum((c1-c2).^2) ) ); + case 'ellipse-thin' + options.eccentricity = 1.06; + M = load_image('ellipse', n, options); + case 'ellipse-fat' + options.eccentricity = 1.3; + M = load_image('ellipse', n, options); + + case 'square-tube' + if isfield(options, 'tube_width') + w = options.tube_width; + else + w = 0.06; + end + c1 = [.25 .5]; + c2 = [.75 .5]; + r1 = [c1 c1] + .18*[-1 -1 1 1]; + r2 = [c2 c2] + .18*[-1 -1 1 1]; + r3 = [c1(1)-w c1(2)-w c2(1)+w c2(2)+w]; + M = double( draw_rectangle(r1,n) | draw_rectangle(r2,n) | draw_rectangle(r3,n) ); + case 'square-tube-1' + options.tube_width = 0.03; + M = load_image('square-tube', n, options); + case 'square-tube-2' + options.tube_width = 0.06; + M = load_image('square-tube', n, options); + case 'square-tube-3' + options.tube_width = 0.09; + M = load_image('square-tube', n, options); + case 'polygon' + if isfield(options, 'nb_points') + nb_points = options.nb_points; + else + nb_points = 9; + end + if isfield(options, 'scaling') + scaling = options.scaling; + else + scaling = 1; + end + theta = sort( rand(nb_points,1)*2*pi ); + radius = scaling*rescale(rand(nb_points,1), 0.1, 0.93); + points = [cos(theta) sin(theta)] .* repmat(radius, 1,2); + points = (points+1)/2*(n-1)+1; points(end+1,:) = points(1,:); + M = draw_polygons(zeros(n),0.8,{points'}); + [x,y] = ind2sub(size(M),find(M)); + p = 100; m = length(x); + lambda = linspace(0,1,p); + X = n/2 + repmat(x-n/2, [1 p]) .* repmat(lambda, [m 1]); + Y = n/2 + repmat(y-n/2, [1 p]) .* repmat(lambda, [m 1]); + I = round(X) + (round(Y)-1)*n; + M = zeros(n); M(I) = 1; + case 'polygon-8' + options.nb_points = 8; + M = load_image('polygon', n, options); + case 'polygon-10' + options.nb_points = 8; + M = load_image('polygon', n, options); + case 'polygon-12' + options.nb_points = 8; + M = load_image('polygon', n, options); + case 'pacman' + if isfield(options, 'theta') + theta = options.theta; + else + theta = 30 * 2*pi/360; + end + options.radius = 0.45; + M = load_image('disk', n, options); + x = linspace(-1,1,n); + [Y,X] = meshgrid(x,x); + T =atan2(Y,X); + M = M .* (1-(abs(T)0) = A2(X1>0); + + case 'chessboard1' + x = -1:2/(n-1):1; + [Y,X] = meshgrid(x,x); + M = (2*(Y>=0)-1).*(2*(X>=0)-1); + + case 'chessboard' + if ~isfield( options, 'width' ) + width = round(n/16); + else + width = options.width; + end + [Y,X] = meshgrid(0:n-1,0:n-1); + M = mod( floor(X/width)+floor(Y/width), 2 ) == 0; + + case 'square' + if ~isfield( options, 'radius' ) + radius = 0.6; + end + x = -1:2/(n-1):1; + [Y,X] = meshgrid(x,x); + M = max( abs(X),abs(Y) )gamma*Y+0.25 ); + M2 = X.^2 + Y.^2 < 0.6^2; + M = 20 + max(0.5*M1,M2) * 216; + + case 'fnoise' + + % generate an image M whose Fourier spectrum amplitude is + % |M^(omega)| = 1/f^{omega} + if isfield(options, 'alpha') + alpha = options.alpha; + else + alpha = 1; + end + M = gen_noisy_image(n,alpha); + + + case 'gaussiannoise' + % generate an image of filtered noise with gaussian + if isfield(options, 'sigma') + sigma = options.sigma; + else + sigma = 10; + end + M = randn(n); + m = 51; + h = compute_gaussian_filter([m m],sigma/(4*n),[n n]); + M = perform_convolution(M,h); + return; + + case {'bwhorizontal','bwvertical','bwcircle'} + + [Y,X] = meshgrid(0:n-1,0:n-1); + if strcmp(type, 'bwhorizontal') + d = X; + elseif strcmp(type, 'bwvertical') + d = Y; + elseif strcmp(type, 'bwcircle') + d = sqrt( (X-(n-1)/2).^2 + (Y-(n-1)/2).^2 ); + end + if isfield(options, 'stripe_width') + stripe_width = options.stripe_width; + else + stripe_width = 5; + end + if isfield(options, 'black_prop') + black_prop = options.black_prop; + else + black_prop = 0.5; + end + M = double( mod( d/(2*stripe_width),1 )>=black_prop ); + + case 'parabola' + + % curvature + if isfield(options, 'c') + c = options.c; + else + c = 0.1; + end + % angle + if isfield(options, 'theta'); + theta = options.theta; + else + theta = pi/sqrt(2); + end + x = -0.5:1/(n-1):0.5; + [Y,X] = meshgrid(x,x); + Xs = X*cos(theta) + Y*sin(theta); + Y =-X*sin(theta) + Y*cos(theta); X = Xs; + M = Y>c*X.^2; + + case 'sin' + + [Y,X] = meshgrid(-1:2/(n-1):1, -1:2/(n-1):1); + M = Y >= 0.6*cos(pi*X); + M = double(M); + + case 'circ_oscil' + + x = linspace(-1,1,n); + [Y,X] = meshgrid(x,x); + R = sqrt(X.^2+Y.^2); + M = cos(R.^3*50); + + case 'phantom' + + M = phantom(n); + + case 'periodic_bumps' + + if isfield(options, 'nbr_periods') + nbr_periods = options.nbr_periods; + else + nbr_periods = 8; + end + if isfield(options, 'theta') + theta = options.theta; + else + theta = 1/sqrt(2); + end + if isfield(options, 'skew') + skew = options.skew; + else + skew = 1/sqrt(2); + end + + A = [cos(theta), -sin(theta); sin(theta), cos(theta)]; + B = [1 skew; 0 1]; + T = B*A; + x = (0:n-1)*2*pi*nbr_periods/(n-1); + [Y,X] = meshgrid(x,x); + pos = [X(:)'; Y(:)']; + pos = T*pos; + X = reshape(pos(1,:), n,n); + Y = reshape(pos(2,:), n,n); + M = cos(X).*sin(Y); + + case 'noise' + if isfield(options, 'sigma') + sigma = options.sigma; + else + sigma = 1; + end + M = randn(n); + + otherwise + ext = {'gif', 'png', 'jpg', 'bmp', 'tiff', 'pgm', 'ppm'}; + for i=1:length(ext) + name = [type '.' ext{i}]; + if( exist(name) ) + M = imread( name ); + M = double(M); + if not(isempty(n)) && (n~=size(M, 1) || n~=size(M, 2)) && nargin>=2 + M = image_resize(M,n,n); + end + return; + end + end + error( ['Image ' type ' does not exists.'] ); +end + +M = double(M); + +if sigma>0 + h = compute_gaussian_filter( [9 9], sigma/(2*n), [n n]); + M = perform_convolution(M,h); +end + +M = rescale(M) * 256; + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function M = create_letter(a, r, n) + +c = 0.2; +p1 = [c;c]; +p2 = [c; 1-c]; +p3 = [1-c; 1-c]; +p4 = [1-c; c]; +p4 = [1-c; c]; +pc = [0.5;0.5]; +pu = [0.5; c]; + +switch a + case 'x' + point_list = { [p1 p3] [p2 p4] }; + case 'z' + point_list = { [p2 p3 p1 p4] }; + case 'v' + point_list = { [p2 pu p3] }; + case 'y' + point_list = { [p2 pc pu] [pc p3] }; + + +end +% fit image +for i=1:length(point_list) + a = point_list{i}(2:-1:1,:); + a(1,:) = 1-a(1,:); + point_list{i} = round( a*(n-1)+1 ); +end +M = draw_polygons(zeros(n),r,point_list); + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function sk = draw_polygons(mask,r,point_list) + +sk = mask*0; +for i=1:length(point_list) + pl = point_list{i}; + for k=2:length(pl) + sk = draw_line(sk,pl(1,k-1),pl(2,k-1),pl(1,k),pl(2,k),r); + end +end + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function sk = draw_line(sk,x1,y1,x2,y2,r) + + +n = size(sk,1); +[Y,X] = meshgrid(1:n,1:n); +q = 100; +t = linspace(0,1,q); +x = x1*t+x2*(1-t); y = y1*t+y2*(1-t); +if r==0 + x = round( x ); y = round( y ); + sk( x+(y-1)*n ) = 1; +else + for k=1:q + I = find((X-x(k)).^2 + (Y-y(k)).^2 <= r^2 ); + sk(I) = 1; + end +end + + + +function M = gen_noisy_image(n,alpha) + +% gen_noisy_image - generate a noisy cloud-like image. +% +% M = gen_noisy_image(n,alpha); +% +% generate an image M whose Fourier spectrum amplitude is +% |M^(omega)| = 1/f^{omega} +% +% Copyright (c) 2004 Gabriel Peyr? + +if nargin<1 + n = 128; +end +if nargin<2 + alpha = 1.5; +end + +if mod(n(1),2)==0 + x = -n/2:n/2-1; +else + x = -(n-1)/2:(n-1)/2; +end + +[Y,X] = meshgrid(x,x); +d = sqrt(X.^2 + Y.^2) + 0.1; +f = rand(n)*2*pi; + +M = (d.^(-alpha)) .* exp(f*1i); +% M = real(ifft2(fftshift(M))); + +M = ifftshift(M); +M = real( ifft2(M) ); + + +function y = gen_signal_2d(n,alpha) + +% gen_signal_2d - generate a 2D C^\alpha signal of length n x n. +% gen_signal_2d(n,alpha) generate a 2D signal C^alpha. +% +% The signal is scale in [0,1]. +% +% Copyright (c) 2003 Gabriel Peyr? + + + +% new new method + +[Y,X] = meshgrid(0:n-1, 0:n-1); + +A = X+Y+1; +B = X-Y+n+1; + +a = gen_signal(2*n+1, alpha); +b = gen_signal(2*n+1, alpha); +y = a(A).*b(B); +% M = a(1:n)*b(1:n)'; + +return; + + +% new method +h = (-n/2+1):(n/2); h(n/2)=1; +[X,Y] = meshgrid(h,h); +h = sqrt(X.^2+Y.^2+1).^(-alpha-1/2); +h = h .* exp( 2i*pi*rand(n,n) ); +h = fftshift(h); +y = real( ifft2(h) ); + +m1 = min(min(y)); +m2 = max(max(y)); +y = (y-m1)/(m2-m1); + +return; + +%% old code + +y = rand(n,n); +y = y - mean(mean(y)); +for i=1:alpha + y = cumsum(cumsum(y)')'; + y = y - mean(mean(y)); +end +m1 = min(min(y)); +m2 = max(max(y)); +y = (y-m1)/(m2-m1); + + + +function newimg = image_resize(img,p1,q1,r1) + +% image_resize - resize an image using bicubic interpolation +% +% newimg = image_resize(img,nx,ny,nz); +% or +% newimg = image_resize(img,newsize); +% +% Works for 2D, 2D 2 or 3 channels, 3D images. +% +% Copyright (c) 2004 Gabriel Peyr? + +if nargin==2 + % size specified as an array + q1 = p1(2); + if length(p1)>2 + r1 = p1(3); + else + r1 = size(img,3); + end + p1 = p1(1); +end + +if nargin<4 + r1 = size(img,3); +end + +if ndims(img)<2 || ndims(img)>3 + error('Works only for grayscale or color images'); +end + +if ndims(img)==3 && size(img,3)<4 + % RVB image + newimg = zeros(p1,q1, size(img,3)); + for m=1:size(img,3) + newimg(:,:,m) = image_resize(img(:,:,m), p1, q1); + end + return; +elseif ndims(img)==3 + p = size(img,1); + q = size(img,2); + r = size(img,3); + [Y,X,Z] = meshgrid( (0:q-1)/(q-1), (0:p-1)/(p-1), (0:r-1)/(r-1) ); + [YI,XI,ZI] = meshgrid( (0:q1-1)/(q1-1), (0:p1-1)/(p1-1), (0:r1-1)/(r1-1) ); + newimg = interp3( Y,X,Z, img, YI,XI,ZI ,'cubic'); + return; +end + +p = size(img,1); +q = size(img,2); +[Y,X] = meshgrid( (0:q-1)/(q-1), (0:p-1)/(p-1) ); +[YI,XI] = meshgrid( (0:q1-1)/(q1-1), (0:p1-1)/(p1-1) ); +newimg = interp2( Y,X, img, YI,XI ,'cubic'); + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function M = draw_rectangle(r,n) + +x = linspace(0,1,n); +[Y,X] = meshgrid(x,x); +M = double( (X>=r(1)) & (X<=r(3)) & (Y>=r(2)) & (Y<=r(4)) ) ; diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/mmax.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/mmax.m new file mode 100644 index 0000000..6c26cc5 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/mmax.m @@ -0,0 +1,9 @@ +function m = mmax(A) + +% mmax - maximum entry from a matrix. +% +% m = mmax(A) +% +% Copyright (c) 2004 Gabriel Peyré + +m = max(A(:)); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/nb_dims.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/nb_dims.m new file mode 100644 index 0000000..4eca5cd --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/nb_dims.m @@ -0,0 +1,18 @@ +function d = nb_dims(x) + +% nb_dims - debugged version of ndims. +% +% d = nb_dims(x); +% +% Copyright (c) 2004 Gabriel Peyré + +if isempty(x) + d = 0; + return; +end + +d = ndims(x); + +if d==2 && (size(x,1)==1 || size(x,2)==1) + d = 1; +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/num2string_fixeddigit.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/num2string_fixeddigit.m new file mode 100644 index 0000000..3fd95d5 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/num2string_fixeddigit.m @@ -0,0 +1,20 @@ +function str = num2string_fixeddigit(num, d) + +% num2string_fixeddigit - convert a number to string with a fixed number of digits +% +% str = num2string_fixeddigit(num, d); +% +% examples for d=3: 12.3->'012', 99->'099', 999->'999', 1200->'1200' (overflow). +% +% Copyright (c) 2004 Gabriel Peyré + + +num = round(num); + +str = num2str(num); + +for i=1:d-1 + if num<10^i + str = ['0' str]; + end +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_blurring.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_blurring.m new file mode 100644 index 0000000..d279ba8 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_blurring.m @@ -0,0 +1,20 @@ +function M = perform_blurring(M, sigma, options) + +% perform_blurring - gaussian blurs an image +% +% M = perform_blurring(M, sigma, options); +% +% M is the original data +% sigma is the width of blurs (in pixels) +% +% Copyright (c) 2007 Gabriel Peyre + +options.null = 0; +n = size(M,1); + +eta = 4; +p = round((sigma*eta)/2)*2+1; +p = min(p,round(n/2)*2-1); + +h = compute_gaussian_filter(p*[1 1],sigma/(2*n),[n n]); +M = perform_convolution(M, h, options); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_conjugate_gradient.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_conjugate_gradient.m new file mode 100644 index 0000000..f7f2ce6 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_conjugate_gradient.m @@ -0,0 +1,118 @@ +function [x,err,it] = perform_conjugate_gradient(A,y,options) + + +% perform_conjugate_gradient - perform conjugate gradient +% +% [x,err,k] = perform_conjugate_gradient(A,y,options); +% +% Solves for A*x=y. +% Works both for vector x,y and matrix x,y (parralel soving of many +% linear equations). +% +% Works only for semi-definite matrices. +% +% A can be a matrix or a callback function y=A(x,options). +% In this case, you have to set options.ncols as the number of columns of +% A (if it is a callback). +% +% err monitos the decreasing of |A*x-y|. +% k is the total number of iterations. +% +% You can set: +% options.x is an initial guess +% options.epsilon is maximum error +% options.niter_max is maximum number of error +% +% Copyright (c) 2007 Gabriel Peyre + +options.null = 0; +niter = getoptions(options, 'niter_max', 100); +epsilon = getoptions(options, 'epsilon', 1e-5); + +use_callback = 0; +if not(isnumeric(A)) + use_callback = 1; +end +if isfield(options, 'x') + x = options.x; +else + if use_callback==0 + x = zeros(size(A,2),1); + else + if isfield(options, 'ncols') + x = zeros(options.ncols, 1); + else + error('You have to specify options.ncols'); + end + end +end + + +if norm(y, 'fro') == 0 + normb = epsilon; +else + normb = epsilon * sum(y(:).^2); +end + +if use_callback==0 + r = y - A*x; +else + r = y - feval(A,x,options); +end +r0 = sum(r.^2); +err = [sum(r0)]; +for it=1:niter + if (it==1) + p = r; + else + % search direction + beta = r0./rprev; + p = r + repmat(beta, [size(x,1) 1]).*p; + end + % auxiliary vector + if use_callback==0 + w = A*p; + else + w = feval(A,p,options); + end + d = sum(p .* w); + I = find(abs(d) normb && k < kmax) + if( k==1 ) + p = r; + else + beta = r0/rprev; + % search direction + p = r + beta*p; + end + if use_callback==1 + w = feval(A,p,options); + else + w = A * p; %% auxiliary vector + end + alpha = r0 / (p' * w); %% found optimal alpha in line search + x = x + alpha*p; %% new guess + r = r - alpha*w; %% the residual is in fact r=b-A*x + rprev = r0; %% ... save norm of the old residual + r0 = ( norm(r, 'fro') )^2; %% ... compute norm of new residual + k = k + 1; + err(end+1) = sqrt(r0); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_contour_extraction.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_contour_extraction.m new file mode 100644 index 0000000..102031d --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_contour_extraction.m @@ -0,0 +1,104 @@ +function c = perform_contour_extraction(M, t) + +% perform_contour_extraction - exctract the geometry of +% a black contour. +% +% c = perform_contour_extraction(M, t); +% +% the output is a sampled curve in [0,1]x[0,1] +% +% Copyright (c) 2004 Gabriel PeyrŽ + +if nargin<2 + t = mean(M(:)); +end + +if M(1)lc+1 + warning('More than one curve detected.'); +end + +return; + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% old code + +if nargin<2 + hv = 1; +end + +if hv == 2 + M = M'; +end + +N = size(M,1); +xcont = zeros(N,1); +ycont = zeros(N,1); + +for i=1:N + v = M(i,:); + if v(1)==0 + I = find( v~=0 ); + else + I = find( v==0 ); + end + if length(I)==0 + xcont(i) = Inf; % curve is undefined here + ycont(i) = Inf; + else + xcont(i) = (i-1)/(N-1); + ycont(i) = (I(1)-1)/(N-1); + end +end + + +I = find(xcont~=Inf); +xcont = xcont(I); +ycont = ycont(I); + +if nargin>2 + % use wavelet coef to realign the geometry + if hv == 2 + MW = MW'; + end + + NW = size(MW,1); + + k = 0; + t = 0; + for i=1:NW + v = MW(i,:); + I = find(v==1); + if length(I)>1 + xi = (i-1)/(NW-1); + y1 = (I(1)-1)/(NW-1); + y2 = (I(end)-1)/(NW-1); + if y2-y1<0.2 + y = (y1+y2)/2; + k = k+1; + yi = interp1( xcont,ycont, xi, 'linear', 'extrap' ); + t = t + yi-y; + end + end + end + if k>0 + t = t/k; + ycont = ycont - t; + end +end + + +c = [xcont';ycont']; diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_convolution.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_convolution.m new file mode 100644 index 0000000..f5ef2f9 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_convolution.m @@ -0,0 +1,89 @@ +function y = perform_convolution(x,h, bound) + +% perform_convolution - compute convolution with centered filter. +% +% y = perform_convolution(x,h,bound); +% +% The filter 'h' is centred at 0 for odd +% length of the filter, and at 1/2 otherwise. +% +% This works either for 1D or 2D convolution. +% For 2D the matrix have to be square. +% +% 'bound' is either 'per' (periodic extension) +% or 'sym' (symmetric extension). +% +% Copyright (c) 2004 Gabriel Peyré + +if nargin<3 + bound = 'sym'; +end + +if size(x,3)>1 + % for color images + y = x; + for i=1:size(x,3) + y(:,:,i) = perform_convolution(x(:,:,i),h, bound); + end + return; +end + +n = size(x); +p = size(h); + +bound = lower(bound); + +nd = ndims(x); +if size(x,1)==1 || size(x,2)==1 + nd = 1; +end +if nd==1 + n = length(x); + p = length(h); +end + +if strcmp(bound, 'sym') + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % symmetric boundary conditions + + d1 = floor( p/2 ); % padding before + d2 = p-d1-1; % padding after + + if nd==1 + %%%%%%%%%%%%%%%%%%%%%%%%%%%% 1D %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + x = x(:); h = h(:); + xx = [ x(d1:-1:1); x; x(end:-1:end-d2+1) ]; + y = conv(xx,h); + y = y(p:end-p+1); + elseif nd==2 + %%%%%%%%%%%%%%%%%%%%%%%%%%%% 2D %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % double symmetry + xx = x; + xx = [ xx(d1(1):-1:1,:); xx; xx(end:-1:end-d2(1)+1,:) ]; + xx = [ xx(:,d1(2):-1:1), xx, xx(:,end:-1:end-d2(2)+1) ]; + + y = conv2(xx,h); + y = y( (2*d1(1)+1):(2*d1(1)+n(1)), (2*d1(2)+1):(2*d1(2)+n(2)) ); + end + +else + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % periodic boundary conditions + + if p>n + error('h filter should be shorter than x.'); + end + d = floor((p-1)/2); + if nd==1 + x = x(:); h = h(:); + h = [ h(d+1:end); zeros(n-p,1); h(1:d) ]; + y = real( ifft( fft(x).*fft(h) ) ); + else + h = [ h(d(1)+1:end,:); zeros( n(1)-p(1),p(2) ); h( 1:d(1),: ) ]; + h = [ h(:,d(2)+1:end), zeros(n(1),n(2)-p(2)), h(:,1:d(2)) ]; + y = real( ifft2( fft2(x).*fft2(h) ) ); + end + +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_curve_extraction.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_curve_extraction.m new file mode 100644 index 0000000..d7550d6 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_curve_extraction.m @@ -0,0 +1,74 @@ +function c_list = perform_curve_extraction(M, t, options) + +% perform_curve_extraction - extract level set curves from an image. +% +% c_list = perform_curve_extraction(M, t, options) +% +% 'M' is the image. +% 't' is the level. +% 'c_list' is a cell array of 2D curves. +% 'options' is an optional structure with fields: +% 'max_nb' is the number of curves extracted (only the 'nb' longest). +% 'min_length' is the minimum length (in *pixels*) of extracted curves. +% +% The image is always assumed to lie in [0,1]x[0,(ny-1)/(nx-1)] +% where [nx,ny] = size(M). +% +% Copyright (c) 2004 Gabriel Peyré + +if nargin<2 + t = 0; +end +if nargin<3 + options.null = 0; +end + +[nx,ny] = size(M); +x = 0:1/(nx-1):1; +y = ( 0:1/(ny-1):1 )*( (ny-1)/(nx-1) ); +c = contourc(x,y,M',[t,t]); +clear c_list; +c_list = {}; +k = 0; +p = 1; +while p < size(c, 2) + lc = c(2,p); % length of the curve + cc = c(:,(p+1):(p+lc)); + p = p+lc+1; + k = k+1; + c_list{ k } = cc; +end + +n = length(c_list); + +% filter by nb +if isfield(options, 'max_nb') + max_nb = options.max_nb; + l = zeros(n,1); + for i=1:n + l(i) = length(c_list{i}); + end + [tmp,I] = sort(l); + I = reverse( I ); + I = I( 1:(min(max_nb,n)) ); + c_list1 = c_list; + c_list = {}; + for i = 1:length(I) + c_list{i} = c_list1{I(i)}; + end +end + +% filter by size +if isfield(options, 'min_length') + min_length = options.min_length; + c_list1 = c_list; + c_list = {}; + k = 0; + for i=1:n + l = length(c_list1{i}); + if l>=min_length + k = k+1; + c_list{k} = c_list1{i}; + end + end +end diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_curve_resampling.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_curve_resampling.m new file mode 100644 index 0000000..6ed60fc --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_curve_resampling.m @@ -0,0 +1,45 @@ +function c1 = perform_curve_resampling(c, s, mode, interp_type) + +% perform_curve_resampling - resample a curve +% +% c1 = perform_curve_resampling(c, n, 'nbpts', intep_type); +% or +% c1 = perform_curve_resampling(c, s, 'dist', intep_type); +% +% Where 'n' is the new number of point in the curve, +% and 's' is the curvilinear absice between two points. +% +% For 'interp_type', see the 'method' parameter in 'help interp1'. +% +% Copyright (c) 2005 Gabriel Peyré + + +if nargin<3 + mode = 'nbpts'; +end +if nargin<4 + interp_type = 'linear'; +end + + +if size(c,2)1 + if not(size(x,2)==size(y,2)) + error('x and y must have same number of columns'); + end + for i=1:size(x,2) + x(:,i) = perform_histogram_equalization(x(:,i),y(:,i),options); + end + return; +end +if rows && size(x,1)>1 + if not(size(x,1)==size(y,1)) + error('x and y must have same number of rows'); + end + for i=1:size(x,1) + x(i,:) = perform_histogram_equalization(x(i,:),y(i,:),options); + end + return; +end +if dim3 && size(x,3)>1 + if not(size(x,3)==size(y,3)) + error('x and y must have same number of dim 3'); + end + for i=1:size(x,3) + x(:,:,i) = perform_histogram_equalization(x(:,:,i),y(:,:,i),options); + end + return; +end + +sx = size(x); +x = x(:); + +if isstr(y) + switch y + case 'gaussian' + y = randn(length(x)); + case 'linear' + y = linspace(0,1,length(x)); + otherwise + error('Unknown density.'); + end +end + +y = y(:); + + +if absval + s = sign(x); + x = abs(x); + y = abs(y); +end + +[vx,Ix] = sort(x); +[vy,Iy] = sort(y); + +nx = length(x); +ny = length(y); + +ax = linspace(1,ny,nx)'; +ay = (1:ny)'; +vx = interp1(ay,vy,ax); +x(Ix) = (1-lambda)*x(Ix) + lambda*vx; + + +if absval + x = x .* s; +end + +x = reshape(x,sx); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_image_resize.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_image_resize.m new file mode 100644 index 0000000..442431e --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_image_resize.m @@ -0,0 +1,53 @@ +function newimg = image_resize(img,p1,q1,r1) + +% image_resize - resize an image using bicubic interpolation +% +% newimg = image_resize(img,nx,ny,nz); +% or +% newimg = image_resize(img,newsize); +% +% Works for 2D, 2D 2 or 3 channels, 3D images. +% +% Copyright (c) 2004 Gabriel Peyré + +if nargin==2 + % size specified as an array + q1 = p1(2); + if length(p1)>2 + r1 = p1(3); + else + r1 = size(img,3); + end + p1 = p1(1); +end + +if nargin<4 + r1 = size(img,3); +end + +if ndims(img)<2 || ndims(img)>3 + error('Works only for grayscale or color images'); +end + +if ndims(img)==3 && size(img,3)<4 + % RVB image + newimg = zeros(p1,q1, size(img,3)); + for m=1:size(img,3) + newimg(:,:,m) = image_resize(img(:,:,m), p1, q1); + end + return; +elseif ndims(img)==3 + p = size(img,1); + q = size(img,2); + r = size(img,3); + [Y,X,Z] = meshgrid( (0:q-1)/(q-1), (0:p-1)/(p-1), (0:r-1)/(r-1) ); + [YI,XI,ZI] = meshgrid( (0:q1-1)/(q1-1), (0:p1-1)/(p1-1), (0:r1-1)/(r1-1) ); + newimg = interp3( Y,X,Z, img, YI,XI,ZI ,'cubic'); + return; +end + +p = size(img,1); +q = size(img,2); +[Y,X] = meshgrid( (0:q-1)/(q-1), (0:p-1)/(p-1) ); +[YI,XI] = meshgrid( (0:q1-1)/(q1-1), (0:p1-1)/(p1-1) ); +newimg = interp2( Y,X, img, YI,XI ,'cubic'); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_tensor_recomp.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_tensor_recomp.m new file mode 100644 index 0000000..6151ad4 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_tensor_recomp.m @@ -0,0 +1,22 @@ +function T = perform_tensor_recomp(e1,e2,l1,l2) + +% perform_tensor_recomp - create the tensor field corresponding to the given eigendecomposition. +% +% T = perform_tensor_recomp(e1,e2,l1,l2); +% +% 'e1(i,j,:)' is the main eigenvector at location (i,j) +% with associated largest eigenvalue 'l1(i,j)'. +% 'e2(i,j,:)' is the second eigenvector at location (i,j) +% with associated smallest eigenvalue 'l2(i,j)'. +% +% You have +% T = l1*e1*e1' + l2*e2*e2' +% +% Copyright (c) 2004 Gabriel Peyré + + +T = zeros( [size(l1),2,2] ); +T(:,:,1,1) = l1.*e1(:,:,1).^2 + l2.*e2(:,:,1).^2; +T(:,:,1,2) = l1.*e1(:,:,1).*e1(:,:,2) + l2.*e2(:,:,1).*e2(:,:,2); +T(:,:,2,1) = T(:,:,1,2); +T(:,:,2,2) = l1.*e1(:,:,2).^2 + l2.*e2(:,:,2).^2; diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_vf_normalization.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_vf_normalization.m new file mode 100644 index 0000000..bf9347c --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/perform_vf_normalization.m @@ -0,0 +1,13 @@ +function v2 = perform_vf_normalization(v1) + +% perform_vf_normalization - renormalize a vf. +% +% v2 = perform_vf_normalization(v1); +% +% Copyright (c) 2004 Gabriel Peyré + + +n = sum(v1.^2,3); +I = find(n1 + % clear previous string + fprintf( repmat('\b', [1 length(ps)]) ); + end + fprintf(ps); +end +pprev = p; +if n==N + fprintf('\n'); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/read_mesh.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/read_mesh.m new file mode 100644 index 0000000..63a65cf --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/read_mesh.m @@ -0,0 +1,81 @@ +function [vertex,face,normal, uv, sphparam] = read_mesh(file) + +% read_mesh - read data from OFF, PLY, SMF or WRL file. +% +% [vertex,face] = read_mesh(filename); +% [vertex,face] = read_mesh; % open a dialog box +% +% 'vertex' is a 'nb.vert x 3' array specifying the position of the vertices. +% 'face' is a 'nb.face x 3' array specifying the connectivity of the mesh. +% +% Supported file extensions are: .off, .ply, .wrl, .obj, .m, .gim. +% +% Copyright (c) 2007 Gabriel Peyre + +switch file + case {'triangle' 'square' 'square1' 'L' 'L1' 'tetra' 'oct' 'ico' 'rand'} + [vertex,face] = compute_base_mesh(file); + [vertex,face] = check_face_vertex(vertex,face); + return; +end + +if nargin==0 + [f, pathname] = uigetfile({'*.off;*.ply;*.wrl;*.smf;*.png;*.jpg;*.gim;*.tet','*.off,*.ply,*.wrl,*.smf,*.png,*.png,*.gim,*.tet Files'},'Pick a file'); + file = [pathname,f]; +end + +ext = {'off' 'ply' 'wrl' 'smf' 'png' 'jpg' 'gim' 'tet'}; +next = length(ext); + +i = strfind(file,'.'); +if isempty(i) + % try to determine extension + found = 0; + for i=1:next + if exist([file '.' ext{i}])==2 + found = 1; + file = [file '.' ext{i}]; + break; + end + end + if found==0 + error('File not found with matching extension.'); + end + i = strfind(file,'.'); +end +ext = file(i+1:end); +name = file(1:i-1); + +switch lower(ext) + case 'off' + [vertex,face] = read_off(file); + case 'ply' + [vertex,face] = read_ply(file); + case 'smf' + [vertex,face] = read_smf(file); + case 'wrl' + [vertex,face] = read_wrl(file); + case 'obj' + [vertex,face,normal] = read_obj(file); + case 'tet' + [vertex,face] = read_tet(file); + case 'm' + if isfield(options, 'type') + type = options.type; + else + type = 'gim'; + end + [vertex,face,normal, uv, sphparam] = read_mfile(file, type); + case 'gim' + sub_sample = 1; + [M,Normal] = load_gim(name, options); + [vertex,face] = convert_gim2mesh(M, sub_sample); + normal = convert_gim2mesh(Normal, sub_sample); + + otherwise + error('Unknown extension.'); +end + +if strcmp(name, 'mannequin') + vertex = -vertex; +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/read_off.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/read_off.m new file mode 100644 index 0000000..5342927 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/read_off.m @@ -0,0 +1,46 @@ +function [vertex,face] = read_off(filename) + +% read_off - read data from OFF file. +% +% [vertex,face] = read_off(filename); +% +% 'vertex' is a 'nb.vert x 3' array specifying the position of the vertices. +% 'face' is a 'nb.face x 3' array specifying the connectivity of the mesh. +% +% Copyright (c) 2003 Gabriel Peyré + + +fid = fopen(filename,'r'); +if( fid==-1 ) + error('Can''t open the file.'); + return; +end + +str = fgets(fid); % -1 if eof +if ~strcmp(str(1:3), 'OFF') + error('The file is not a valid OFF one.'); +end + +str = fgets(fid); +[a,str] = strtok(str); nvert = str2num(a); +[a,str] = strtok(str); nface = str2num(a); + + + +[A,cnt] = fscanf(fid,'%f %f %f', 3*nvert); +if cnt~=3*nvert + warning('Problem in reading vertices.'); +end +A = reshape(A, 3, cnt/3); +vertex = A; +% read Face 1 1088 480 1022 +[A,cnt] = fscanf(fid,'%d %d %d %d\n', 4*nface); +if cnt~=4*nface + warning('Problem in reading faces.'); +end +A = reshape(A, 4, cnt/4); +face = A(2:4,:)+1; + + +fclose(fid); + diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/rescale.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/rescale.m new file mode 100644 index 0000000..5c0fb61 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox/rescale.m @@ -0,0 +1,25 @@ +function y = rescale(x,a,b) + +% rescale - rescale data in [a,b] +% +% y = rescale(x,a,b); +% +% Copyright (c) 2004 Gabriel Peyr? + +if nargin<2 + a = 0; +end +if nargin<3 + b = 1; +end + +m = min(x(:)); +M = max(x(:)); + +if M-m0); + +return; + + +nvert = max(max(face)); +nface = size(face,1); +A = spalloc(nvert,nvert,3*nface); + +for i=1:nface + for k=1:3 + kk = mod(k,3)+1; + if nargin<2 + A(face(i,k),face(i,kk)) = 1; + else + v = vertex(:,face(i,k))-vertex(:,face(i,kk)); + A(face(i,k),face(i,kk)) = sqrt( sum(v.^2) ); % euclidean distance + end + end +end +% make sure that all edges are symmetric +A = max(A,A'); \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox_fast_marching.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox_fast_marching.m new file mode 100644 index 0000000..00946d3 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/toolbox_fast_marching.m @@ -0,0 +1,46 @@ +% Toolbox Fast Marching - a toolbox for the computation of the Fast +% Marching algorithm both in 2D and 3D. +% +% The Fast Marching algorithm, introduced by Sethian (1996) is a numerical +% algorithm that is able to catch the viscosity solution of the Eikonal +% equation |grad(D)|=P. The level set {x \ F(x)=t} can be seen as +% a front advancing with speed P(x). +% +% The resulting function D is a distance function, and if the +% speed P is constant, it can be seen as the distance function +% to a set of starting points. +% +% The Fast Marching is very similar to the Dijkstra algorithm +% that find shortes paths on graph. Using a gradient +% descent of the distance function D, one is able +% to extract a good approximation of the shortest path +% (geodesic) in various settings (euclidean for P constant, +% and a weighted riemanian manifold with P varying). +% +% The main reference about the Fast Marching algorithm is the book +% Level Set Methods and Fast Marching Methods +% Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science +% J.A. Sethian, Cambridge University Press, 1999 +% Cambridge Monograph on Applied and Computational Mathematics +% +% A good review of the Fast Marching in 3D together with some applications +% can be found in +% Fast extraction of minimal paths in 3D images and application to virtual endoscopy. +% T.Deschamps and L.D. Cohen. +% September 2000. To appear in Medical Image Analysis. +% +% The function 'perform_fast_marching' +% computes the distance function from a set of starting points. +% To extract the geodesics between these starting points and +% an ending point, you can use 'compute_geodesic'. +% +% perform_fmstar_2d and perform_fmstar_3d implement the algorithm described in +% Heuristically Driven Front Propagation for Path Planning and Geodesic Extraction +% Gabriel Peyré and Laurent Cohen, 2005 ,To appear. +% See script test_fmstar_2d and test_fmstar_3d for samples of use. +% +% The main computation are done in a mex file so it is very +% fast (using a C++ heap structure). Precompiled version +% for windows are given. +% +% Copyright (c) 2005 Gabriel Peyré \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/toolbox_fast_marching/vol3d.m b/matlab/external/gptoolbox/external/toolbox_fast_marching/vol3d.m new file mode 100644 index 0000000..5573033 --- /dev/null +++ b/matlab/external/gptoolbox/external/toolbox_fast_marching/vol3d.m @@ -0,0 +1,200 @@ +function [model] = vol3d(varargin) +%H = VOL3D Volume render 3-D data. +% VOL3D uses the orthogonal plane 2-D texture mapping technique for +% volume rending 3-D data in OpenGL. Use the 'texture' option to fine +% tune the texture mapping technique. This function is best used with +% fast OpenGL hardware. +% +% H = vol3d('CData',data) Create volume render object from input +% 3-D data. Use interp3 on data to increase volume +% rendering resolution. Returns a struct +% encapsulating the pseudo-volume rendering object. +% +% vol3d(...'Parent',axH) Specify parent axes +% +% vol3d(...,'texture','2D') Default. Only render texture planes parallel +% to nearest orthogonal viewing plane. Requires +% doing vol3d(h) to refresh if the view is +% rotated (i.e. using cameratoolbar). +% +% vol3d(...,'texture','3D') Render x,y,z texture planes simultaneously. +% This avoids the need to refresh the view but +% requires faster OpenGL hardware peformance. +% +% vol3d(H) Refresh view. Updates rendering of texture planes +% to reduce visual aliasing when using the 'texture'='2D' +% option. +% +% NOTES +% Use vol3dtool for editing the colormap and alphamap. +% Adjusting these maps will allow you to explore your 3-D volume +% data at various intensity levels. See documentation on +% alphamap and colormap for more information. +% +% Use interp3 on input date to increase/decrease resolution of data +% +% Examples: +% +% % Visualizing fluid flow +% v = flow(50); +% h = vol3d('cdata',v,'texture','2D'); +% view(3); +% % Update view since 'texture' = '2D' +% vol3d(h); +% alphamap('rampdown'), alphamap('decrease'), alphamap('decrease') +% +% % Visualizing MRI data +% load mri.mat +% D = squeeze(D); +% h = vol3d('cdata',D,'texture','2D'); +% view(3); +% % Update view since 'texture' = '2D' +% vol3d(h); +% axis tight; daspect([1 1 .4]) +% alphamap('rampup'); +% alphamap(.06 .* alphamap); +% +% See also vol3dtool, alphamap, colormap, opengl, isosurface + +% Copyright Joe Conti, 2004 + +if isstruct(varargin{1}) + model = varargin{1}; + if length(varargin) > 1 + varargin = {varargin{2:end}}; + end +else + model = localGetDefaultModel; +end + + +if length(varargin)>1 + for n = 1:2:length(varargin) + switch(lower(varargin{n})) + case 'cdata' + model.cdata = varargin{n+1}; + case 'parent' + model.parent = varargin{n+1}; + case 'texture' + model.texture = varargin{n+1}; + end + + end +end + +if isempty(model.parent) + model.parent = gca; +end + +% choose default 3-D view +ax = model.parent; +axis(ax,'vis3d'); +axis(ax,'tight'); + +[model] = local_draw(model); + + +%------------------------------------------% +function [model] = localGetDefaultModel + +model.cdata = []; +model.xdata = []; +model.ydata = []; +model.zdata = []; +model.parent = []; +model.handles = []; +model.texture = '2D'; + +%------------------------------------------% +function [model,ax] = local_draw(model) + +cdata = model.cdata; +siz = size(cdata); + +% Define [x,y,z]data +if isempty(model.xdata) + model.xdata = [0 siz(2)]; +end +if isempty(model.ydata) + model.ydata = [0 siz(1)]; +end +if isempty(model.zdata) + model.zdata = [0 siz(3)]; +end + +try, + delete(model.handles); +end + +ax = model.parent; +cam_dir = camtarget(ax) - campos(ax); +[m,ind] = max(abs(cam_dir)); + + +h = findobj(ax,'type','surface','tag','vol3d'); +for n = 1:length(h) + try, + delete(h(n)); + end +end + +is3DTexture = strcmpi(model.texture,'3D'); +handle_ind = 1; + +% Create z-slice +if(ind==3 || is3DTexture ) + x = [model.xdata(1), model.xdata(2); model.xdata(1), model.xdata(2)]; + y = [model.ydata(1), model.ydata(1); model.ydata(2), model.ydata(2)]; + z = [model.zdata(1), model.zdata(1); model.zdata(1), model.zdata(1)]; + diff = model.zdata(2)-model.zdata(1); + delta = diff/size(cdata,3); + for n = 1:size(cdata,3) + + slice = double(squeeze(cdata(:,:,n))); + h(handle_ind) = surface(x,y,z,'Parent',ax); + set(h(handle_ind),'cdatamapping','scaled','facecolor','texture','cdata',slice,... + 'edgealpha',0,'alphadata',double(slice),'facealpha','texturemap','tag','vol3d'); + z = z + delta; + handle_ind = handle_ind + 1; + end + +end + +% Create x-slice +if (ind==1 || is3DTexture ) + x = [model.xdata(1), model.xdata(1); model.xdata(1), model.xdata(1)]; + y = [model.ydata(1), model.ydata(1); model.ydata(2), model.ydata(2)]; + z = [model.zdata(1), model.zdata(2); model.zdata(1), model.zdata(2)]; + diff = model.xdata(2)-model.xdata(1); + delta = diff/size(cdata,2); + for n = 1:size(cdata,2) + + slice = double(squeeze(cdata(:,n,:))); + h(handle_ind) = surface(x,y,z,'Parent',ax); + set(h(handle_ind),'cdatamapping','scaled','facecolor','texture','cdata',slice,... + 'edgealpha',0,'alphadata',double(slice),'facealpha','texturemap','tag','vol3d'); + x = x + delta; + handle_ind = handle_ind + 1; + end +end + + +% Create y-slice +if (ind==2 || is3DTexture) + x = [model.xdata(1), model.xdata(1); model.xdata(2), model.xdata(2)]; + y = [model.ydata(1), model.ydata(1); model.ydata(1), model.ydata(1)]; + z = [model.zdata(1), model.zdata(2); model.zdata(1), model.zdata(2)]; + diff = model.ydata(2)-model.ydata(1); + delta = diff/size(cdata,1); + for n = 1:size(cdata,1) + + slice = double(squeeze(cdata(n,:,:))); + h(handle_ind) = surface(x,y,z,'Parent',ax); + set(h(handle_ind),'cdatamapping','scaled','facecolor','texture','cdata',slice,... + 'edgealpha',0,'alphadata',double(slice),'facealpha','texturemap','tag','vol3d'); + y = y + delta; + handle_ind = handle_ind + 1; + end +end + +model.handles = h; \ No newline at end of file diff --git a/matlab/external/gptoolbox/external/write_ply.m b/matlab/external/gptoolbox/external/write_ply.m new file mode 100644 index 0000000..6fa3a34 --- /dev/null +++ b/matlab/external/gptoolbox/external/write_ply.m @@ -0,0 +1,308 @@ +function write_ply(vertex,face,filename, mode) + +% write_ply - write data to PLY file. +% +% write_ply(vertex,face,filename, mode); +% +% 'vertex' is a 'nb.vert x 3' array specifying the position of the vertices. +% 'face' is a 'nb.face x 3' array specifying the connectivity of the mesh. +% +% IMPORTANT: works only for triangular meshes. +% +% Copyright (c) 2004 Gabriel Peyré + +if nargin<4 + mode = 'ascii'; +end + +if size(vertex,2)~=3 + vertex = vertex'; +end +if size(vertex,2)~=3 + error('vertex does not have correct format.'); +end + + +if size(face,2)~=3 + face = face'; +end +if size(face,2)~=3 + error('face does not have correct format.'); +end + +% make a cube +clear Data; +Data.vertex.x = vertex(:,1); +Data.vertex.y = vertex(:,2); +Data.vertex.z = vertex(:,3); +Data.face.vertex_indices = {}; +%tic; +%for i=1:size(face,1) +% Data.face.vertex_indices{end+1} = face(i,:)-1; +%end +%toc +% This is twice as fast +Data.face.vertex_indices = mat2cell(face-1,ones(size(face,1),1),3); + +plywrite(Data,filename,mode,'double'); + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +function plywrite(Elements,Path,Format,Str) + +%PLYWRITE Write 3D data as a PLY file. +% PLYWRITE(DATA,FILENAME) writes the structure DATA as a binary +% PLY file. Every field of DATA is interpreted as an element +% and every subfield as an element property. Each subfield of +% property data must either be an array or a cell array of +% arrays. All property data in an element must have the same +% length. +% +% A common PLY data structure has the following fields: +% DATA.vertex.x = x coordinates, [Nx1] real array +% DATA.vertex.y = y coordinates, [Nx1] real array +% DATA.vertex.z = z coordinates, [Nx1] real array +% +% DATA.face.vertex_indices = vertex index lists, +% an {Mx1} cell array where each cell holds a one- +% dimesional array (of any length) of vertex indices. +% Some other common data fields: +% DATA.vertex.nx = x coordinate of normal, [Nx1] real array +% DATA.vertex.ny = y coordinate of normal, [Nx1] real array +% DATA.vertex.nz = z coordinate of normal, [Nx1] real array +% +% DATA.edge.vertex1 = index to a vertex, [Px1] integer array +% DATA.edge.vertex2 = second vertex index, [Px1] integer array +% Many other fields and properties can be added. The PLY format +% is not limited to the naming in the examples above -- they are +% only the conventional naming. +% +% PLYWRITE(DATA,FILENAME,FORMAT) write the PLY with a specified +% data format, where FORMAT is +% 'ascii' ASCII text data +% 'binary_little_endian' binary data, little endian +% 'binary_big_endian' binary data, big endian (default) +% +% PLYWRITE(DATA,FILENAME,FORMAT,'double') or +% PLYWRITE(DATA,FILENAME,'double') write floating-point data as +% double precision rather than in the default single precision. +% +% Example: +% % make a cube +% clear Data; +% Data.vertex.x = [0;0;0;0;1;1;1;1]; +% Data.vertex.y = [0;0;1;1;0;0;1;1]; +% Data.vertex.z = [0;1;1;0;0;1;1;0]; +% Data.face.vertex_indices = {[0,1,2,3],[7,6,5,4], ... +% [0,4,5,1],[1,5,6,2],[2,6,7,3],[3,7,4,0]}; +% plywrite(Data,'cube.ply','ascii'); +% +% See also: PLYREAD + +% Pascal Getreuer 2004 + +if nargin < 4 + Str = ''; + + if nargin < 3 + Format = 'binary_big_endian'; + elseif strcmpi(Format,'double') + Str = 'double'; + Format = 'binary_big_endian'; + end +end + +[fid,Msg] = fopen(Path,'wt'); + +if fid == -1, error(Msg); end + +PlyTypeNames = {'char','uchar','short','ushort','int','uint','float','double', ... + 'char8','uchar8','short16','ushort16','int32','uint32','float32','double64'}; +FWriteTypeNames = {'schar','uchar','int16','uint16','int32','uint32','single','double'}; +MatlabTypeNames = {'int8','uint8','int16','uint16','int32','uint32','single','double'}; +PrintfTypeChar = {'%d','%u','%d','%u','%d','%u','%-.6f','%-.14e'}; +IntegerDataMin = [-2^7, 0, -2^15, 0, -2^31, 0]; +IntegerDataMax = [ 2^7-1,2^8-1,2^15-1,2^16-1,2^31-1,2^32-1]; + +%%% write PLY header %%% +fprintf(fid,'ply\nformat %s 1.0\ncomment created by MATLAB plywrite\n',Format); +ElementNames = fieldnames(Elements); +NumElements = length(ElementNames); +Data = cell(NumElements,1); + +for i = 1:NumElements + eval(['tmp=isa(Elements.',ElementNames{i},',''struct'');']); + + if tmp + eval(['PropertyNames{i}=fieldnames(Elements.',ElementNames{i},');']); + else + PropertyNames{i} = []; + end + + if ~isempty(PropertyNames{i}) + eval(['Data{i}{1}=Elements.',ElementNames{i},'.',PropertyNames{i}{1},';']); + ElementCount(i) = prod(size(Data{i}{1})); + Type{i} = zeros(length(PropertyNames{i}),1); + else + ElementCount(i) = 0; + end + + fprintf(fid,'element %s %u\n',ElementNames{i},ElementCount(i)); + + for j = 1:length(PropertyNames{i}) + eval(['Data{i}{j}=Elements.',ElementNames{i},'.',PropertyNames{i}{j},';']); + + if ElementCount(i) ~= prod(size(Data{i}{j})) + fclose(fid); + error('All property data in an element must have the same length.'); + end + + if iscell(Data{i}{j}) + Type{i}(j) = 9; + Data{i}{j} = Data{i}{j}{1}; + end + + for k = 1:length(MatlabTypeNames) + if isa(Data{i}{j},MatlabTypeNames{k}) + Type{i}(j) = Type{i}(j) + k; + break; + end + end + + if ~rem(Type{i}(j),9) + fclose(fid); + error('Unsupported data structure.'); + end + + % try to convert float data to integer data + if Type{i}(j) <= 8 % array data + if any(strcmp({'single','double'},MatlabTypeNames{Type{i}(j)})) + if ~any(floor(Data{i}{j}) ~= Data{i}{j}) % data is integer + MinValue = min(min(Data{i}{j})); + MaxValue = max(max(Data{i}{j})); + + % choose smallest possible integer data format + tmp = max(min(find(MinValue >= IntegerDataMin)),min(find(MaxValue <= IntegerDataMax))); + + if ~isempty(tmp) + Type{i}(j) = tmp; + end + end + end + else % cell array data + eval(['Data{i}{j}=Elements.',ElementNames{i},'.',PropertyNames{i}{j},';']); + tmp = 1; + + for k = 1:prod(size(Data{i}{j})) + tmp = tmp & all(floor(Data{i}{j}{k}) == Data{i}{j}{k}); + end + + if tmp % data is integer + MinValue = inf; + MaxValue = -inf; + + for k = 1:prod(size(Data{i}{j})) + MinValue = min(MinValue,min(Data{i}{j}{k})); + MaxValue = max(MaxValue,max(Data{i}{j}{k})); + end + + % choose smallest possible integer data format + tmp = max(min(find(MinValue >= IntegerDataMin)),min(find(MaxValue <= IntegerDataMax))); + + if ~isempty(tmp) + Type{i}(j) = tmp + 9; + end + end + end + + % convert double to single if specified + if rem(Type{i}(j),9) == 8 & ~strcmpi(Str,'double') + Type{i}(j) = Type{i}(j) - 1; + end + + if Type{i}(j) <= 8 + fprintf(fid,'property %s %s\n',PlyTypeNames{Type{i}(j)},PropertyNames{i}{j}); + else + fprintf(fid,'property list uchar %s %s\n',PlyTypeNames{Type{i}(j)-9},PropertyNames{i}{j}); + end + end +end + +fprintf(fid,'end_header\n'); + +switch Format +case 'ascii' + Format = 0; +case 'binary_little_endian' + fclose(fid); + fid = fopen(Path,'a','ieee-le'); + Format = 1; +case 'binary_big_endian' + fclose(fid); + fid = fopen(Path,'a','ieee-be'); + Format = 2; +end + +for i = 1:NumElements + if ~isempty(PropertyNames{i}) + if ~Format % write ASCII data + for k = 1:ElementCount(i) + for j = 1:length(PropertyNames{i}) + if Type{i}(j) <= 8 + fprintf(fid,[PrintfTypeChar{Type{i}(j)},' '],Data{i}{j}(k)); + else + fprintf(fid,'%u%s ',length(Data{i}{j}{k}),sprintf([' ',PrintfTypeChar{Type{i}(j)-9}],Data{i}{j}{k})); + end + end + + fprintf(fid,'\n'); + end + else % write binary data + if all(Type{i} <= 8) & all(Type{i} == Type{i}(1)) + % property data without list types (fast) + tmp = zeros(length(PropertyNames{i}),ElementCount(i)); + + for j = 1:length(PropertyNames{i}) + tmp(j,:) = Data{i}{j}(:)'; + end + + fwrite(fid,tmp,FWriteTypeNames{Type{i}(j)}); + elseif all(Type{i} > 8) + % only list types + Type{i} = Type{i} - 9; + + if length(PropertyNames{i}) == 1 + % only one list property + tmp = FWriteTypeNames{Type{i}(1)}; + + for k = 1:ElementCount(i) + fwrite(fid,length(Data{i}{1}{k}),'uchar'); + fwrite(fid,Data{i}{1}{k},tmp); + end + else + % multiple list properties + for k = 1:ElementCount(i) + for j = 1:length(PropertyNames{i}) + fwrite(fid,length(Data{i}{j}{k}),'uchar'); + fwrite(fid,Data{i}{j}{k},FWriteTypeNames{Type{i}(j)}); + end + end + end + else + % mixed type + for k = 1:ElementCount(i) + for j = 1:length(PropertyNames{i}) + if Type{i}(j) <= 8 + fwrite(fid,Data{i}{j}(k),FWriteTypeNames{Type{i}(j)}); + else + fwrite(fid,length(Data{i}{j}{k}),'uchar'); + fwrite(fid,Data{i}{j}{k},FWriteTypeNames{Type{i}(j)-9}); + end + end + end + end + end + end +end + +fclose(fid); diff --git a/matlab/external/gptoolbox/gptoolbox-logo.pdf b/matlab/external/gptoolbox/gptoolbox-logo.pdf new file mode 100644 index 0000000..8c6da61 Binary files /dev/null and b/matlab/external/gptoolbox/gptoolbox-logo.pdf differ diff --git a/matlab/external/gptoolbox/imageprocessing/denoise.m b/matlab/external/gptoolbox/imageprocessing/denoise.m new file mode 100644 index 0000000..6fdcdb0 --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/denoise.m @@ -0,0 +1,92 @@ +function [denoised, noise] = denoise(noisy_signal,prior,std_noise) + % Given a noisy image and a similar prior image and the standard deviation of + % the noise (assumes gaussian distribution) denoise the iamge by building a + % steerable freq pyramid and using probabilistic algorithms to build a coring + % function (highest 5 bands only) to remap the image to the original. Also + % prints and shows plots of the estimators. + % + % [denoised, noise] = denoise(noisy_signal,prior,std_noise) + % + % Inputs: + % noisy_signal image with noise + % prior similar image without noise + % std_noise the standard deviation of the noise distribution + % Output: + % denoised the denoised result image + % noise the generated noise image + % + + % create noise image + noise = std_noise.*randn(size(noisy_signal)); + + % build steerable pyramids for each image + [prior_pyr,prior_ind]=buildSFpyr(prior,3,3); + [noisy_signal_pyr,noisy_signal_ind]=buildSFpyr(noisy_signal,3,3); + [noise_pyr,noise_ind]=buildSFpyr(noise,3,3); + + % reconstruct right away (for debugging) + %before = reconSFpyr(noisy_signal_pyr,noisy_signal_ind); + + % open a new figure for plotting the estimators + %screen_size = get(0, 'ScreenSize'); + estimator_figure = figure; + %set(estimator_figure, 'Position', [0 0 screen_size(3) screen_size(4) ] ); + set(estimator_figure, 'Position', [0 0 1000 200 ] ); + + for band_index = 1:5 + % extract top five bands of the prior and noise pyramids + noise_band = pyrBand(noise_pyr,noise_ind,band_index); + prior_band = pyrBand(prior_pyr,prior_ind,band_index); + noisy_signal_band = pyrBand(noisy_signal_pyr,noisy_signal_ind,band_index); + + % small value to add to bins to avoid mayhem + %EPSILON = 0.1; + EPSILON = 0.000001; + % histogram the coefficients + histogram_bins = -0.3:0.01:0.3; + histogram_prior = EPSILON+ ... + hist(reshape(prior_band,prod(size(prior_band)),1),histogram_bins); + histogram_noise = EPSILON+ ... + hist(reshape(noise_band,prod(size(noise_band)),1),histogram_bins); + % compute estimate of bayesian estimator using formula from simoncelli96c.pdf: + % ∫ Pn(y-z) z Px(z) dz + % b(y) = --------------------- + % ∫ Pn(y-z) Px(z) dz + % + % where Pn is the pdf of noise and Px of image. We estimate Pn with + % histogram_noise and Px with histogram_prior. Then both top and bottom are + % convolutions ( z is histogram_bins) + % + bayesian_estimator = ... + conv2(histogram_noise,histogram_bins.*histogram_prior,'same') ./ ... + conv2(histogram_noise,histogram_prior,'same'); + + % plot the estimator with a straight line for comparison + subplot(1,5,band_index); + plot(histogram_bins,bayesian_estimator,histogram_bins,histogram_bins); + grid on + %legend('bayesian estimator','straight line for comparison'); + + if(band_index==1) + title('hifi residual'); + else + title(['hifi orientation ' num2str(band_index-1)]) + end + + % (re)map signal coefficients using bayesian_estimator + denoised_band = interp1(histogram_bins,bayesian_estimator,noisy_signal_band); + + % add back to pyramid + noisy_signal_pyr = ... + setPyrBand(noisy_signal_pyr,noisy_signal_ind,denoised_band,band_index); + + end + + % print the plots + estimator_figure; + print('-depsc','bayesian_estimator_plots') + + % reconstruct image from modified pyramid + denoised = reconSFpyr(noisy_signal_pyr,noisy_signal_ind); + +end diff --git a/matlab/external/gptoolbox/imageprocessing/depth_darken.m b/matlab/external/gptoolbox/imageprocessing/depth_darken.m new file mode 100644 index 0000000..f034ab4 --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/depth_darken.m @@ -0,0 +1,53 @@ +function [C,U,Um] = depth_darken(im,D,varargin) + % DEPTH_DARKEN Enhance an image by darkening according to its corresponding + % depth image's unsharp mask. "Image Enhancement by Unsharp Masking the Depth + % Buffer" [Luft et al. 2006]. + % + % [C,U,Um] = depth_darken(im,D,'ParamterName',ParameterValue, ...) + % + % Inputs: + % im h by w by c color image + % D h by w inverse depth image + % Optional: + % 'Lambda' followed by darkening intensity {0.3} + % 'Sigma' followed by darkening blur radius {0.08*h} + % Outputs: + % C h by w by c depth-darkened color image + % U h by w unsharp *mask* of depth image + % Um h by w negative part used for darkening + % + + % default values + lambda = 0.3; + sigma = []; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Lambda','Sigma'}, ... + {'lambda','sigma'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + if isempty(sigma) + sigma = 0.08*size(D,1); + end + % Gaussian blur kernel + G = fspecial('gaussian',ceil(2*sigma),sigma); + % Unshapr mask is image minus blurred image + U = D-imfilter(D,G,'replicate'); + % only keep negative part + Um = (U<0).*U; + % Darken according to mask + C = bsxfun(@plus,im,lambda*Um); + +end diff --git a/matlab/external/gptoolbox/imageprocessing/dith.m b/matlab/external/gptoolbox/imageprocessing/dith.m new file mode 100644 index 0000000..b036bed --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/dith.m @@ -0,0 +1,109 @@ +function D = dith(im,K,offset) + % DITH Dithers an input image + % + % D = dither(im,K) Image im is dithered using algorithm specified by K: + % ['Floyd-Steinberg','Jarvis','Stucki','Sierra3','Sierra2','Sierra-lite', + % 'Atkinson'] + % + % D = dither(im,K,offset) Image im is dithered using provided error diffusion + % kernel K where current pixel is located in K by (1,1) + offset + % + % D = dither(im) Image im is dithered using default algorithm + % {'Floyd-Steinberg'} + % + % Inputs: + % im grayscale image to be dithered + % K algorithm or kernel + % offset pixel offset for kernel + % Output: + % D dithered image + % + + % get width and height + h = size(im,1); + w = size(im,2); + + % Error diffusion method + % error diffusion kernel and + % offset from (1,1) of current pixel in kernel + + if(~exist('K','var')) + K = 'Floyd-Steinberg'; + end + + % make sure image is grayscale + switch size(im,3) + case 1 + % do nothing, already "grayscale" + case 3 + warning('Converting input image to grayscale using rgb2gray'); + im = rgb2gray(im); + otherwise + error('Input image should be grayscale'); + end + + % make sure image is double + if ~isfloat(im) + warning([ ... + 'Converting image to double, using im2double, ' ... + 'output will also be double']); + im = im2double(im); + end + + if(strcmp(class(K),'char')) + if(strcmp(K,'Floyd-Steinberg')) + offset = [0,1]; + K = [0,0,7;3,5,1]/16; + elseif(strcmp(K,'Jarvis')) + offset = [0,2]; + K = [0 0 0 7 5;3 5 7 5 3;1 3 5 3 1]/48; + elseif(strcmp(K,'Stucki')) + offset = [0,2]; + K = [0 0 0 8 4; 2 4 8 4 2;1 2 4 2 1]/42; + elseif(strcmp(K,'Sierra3')) + offset = [0,2]; + K = [0 0 0 5 3;2 4 5 4 2;0 2 3 2 0]/32; + elseif(strcmp(K,'Sierra2')) + offset = [0,2]; + K = [0 0 0 4 3;1 2 3 2 1]/16; + elseif(strcmp(K,'Sierra-lite')) + offset = [0,0]; + K = [0,2;1,1]/4; + elseif(strcmp(K,'Atkinson')) + offset = [0,1]; + K = [0 0 1 1;1 1 1 0;0 1 0 0]/8; + else + error 'Unsupported algorithm name' + end + else + assert(exist('offset','var')==1); + end + + D = zeros(size(im)+size(K)); + O = zeros(size(im)+size(K)); + % original image + O(offset(1)+(1:h),offset(2)+(1:w)) = im; + + % precompute indices of diffusion region + dY = (1:size(K,1))-1-offset(1); + dX = (1:size(K,2))-1-offset(2); + + % loop from top to bottom + for y = (offset(1) + (1:h)) + Y = y+dY; + % loop from left to right + for x = (offset(2) + (1:w)) + D(y,x) = round(O(y,x)); + % get error at this pixel + e = O(y,x) - D(y,x); + % distribute error to nearby pixels using kernel + X = x+dX; + % diffuse error + O(Y,X) = O(Y,X) + K.*e; + end + end + + % resize D to be same as original image + D = D(offset(1)+(1:h),offset(2)+(1:w)); + +end diff --git a/matlab/external/gptoolbox/imageprocessing/get_scribbles.m b/matlab/external/gptoolbox/imageprocessing/get_scribbles.m new file mode 100644 index 0000000..ed29b40 --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/get_scribbles.m @@ -0,0 +1,163 @@ +function [SI,S,C] = get_scribbles(im,varargin) + % Display an image and ask the user to draw scribbles then hit enter + % + % [SI,S,C] = get_scribbles(im) + % + % Inputs: + % im w by h by channels image + % Optional: + % 'LineWidth' followed by line width of brush + % Outputs: + % SI w by h scribbles mask (0 no scribble, otherwise scribble id) + % S w by h scribbles mask in RGB + % C colors corresponding to each scribble + % + + f = gcf; + h = imshow(im); + + line_width = 10; + % default values + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'LineWidth'},{'line_width'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + rotate3d off; + set(h,'ButtonDownFcn',@ondown); + set(gcf,'keypressfcn', @onkeypress); + t = title('Draw scribbles, then hit ENTER'); + + P = {}; + p = {}; + pc = 0; + + done = false; + while(~done) + drawnow; + end + + %set(h,'CData',0*get(h,'CData')); + %f_pos = get(gcf,'Position'); + %f_pos(3:4) = [size(im,2) size(im,1)]; + %set(gcf,'Position',f_pos); + %set(gcf,'Color', [0,0,0]); + %set(gca,'visible', 'off'); + %set(gca,'Position',[0 0 1 1]); + old_color = get(gcf,'Color'); + set(h,'CData',0*get(h,'CData')); + set(t,'Visible','off'); + set(gcf,'Color',[1 0 1]); + old_aa = get(gcf,'GraphicsSmoothing'); + set(gcf,'GraphicsSmoothing','off') + drawnow; + F = getframe(gcf); + S = F.cdata; + S = imresize(imtrim(im2double(S)),[size(im,1) size(im,2)],'nearest'); + set(gcf,'Color',old_color); + set(gcf,'GraphicsSmoothing',old_aa); + %S = S(1:size(im,1),1:size(im,2),:); + SI = rgb2ind(S,pc+1); + if(numel(unique(SI(:))) ~= pc+1) + warning(['IDs not right']); + end + + % match class of input + switch class(im) + case 'double' + S = im2double(S); + case 'single' + S = im2single(S); + case 'uint8' + S = im2uint8(S); + case 'uint16' + S = im2uint16(S); + case 'int16' + S = im2int16(S); + case 'int16' + S = im2int16(S); + otherwise + warning(['Input is strange class: ' class(im)]); + end + + % Callback for mouse press + function ondown(src,ev) + % Tell window that we'll handle drag and up events + set(gcf,'windowbuttonmotionfcn', @ondrag); + set(gcf,'windowbuttonupfcn', @onup); + % increment plot count + pc=pc+1; + append_current_point(); + end + + % Callback for mouse press + function ondrag(src,ev) + append_current_point(); + end + + % Callback for mouse release + function onup(src,ev) + % Tell window to handle drag and up events itself + set(gcf,'windowbuttonmotionfcn',''); + set(gcf,'windowbuttonupfcn',''); + end + + function onkeypress(src,ev) + % escape character id + ESC = char(27); + ENTER = char(13); + switch ev.Character + case ESC + finish(); + case ENTER + finish(); + otherwise + warning(['Unknown key: ' ev.Character ... + ' (' num2str(uint8(ev.Character(1))) ')']); + end + end + + function append_current_point() + % get current mouse position, and remember old one + cp = get(gca,'currentpoint'); + if pc > numel(P) + P{pc} = []; + end + P{pc} = [P{pc};cp(1,:)]; + if pc > numel(p) || isempty(p{pc}) + hold on; + p{pc} = plot(P{pc}(:,1),P{pc}(:,2),'LineWidth',line_width,'Color',next_color); + hold off; + else + set(p{pc},'Xdata',P{pc}(:,1),'Ydata',P{pc}(:,2)); + end + end + + function nc = next_color() + if (pc-1) <= 20 + nc = [(pc-1)/20 0 1]; + else + nc = [1 (pc-1)/40 1]; + end + end + + function finish() + done = true; + set(gcf,'windowbuttonmotionfcn',''); + set(gcf,'windowbuttonupfcn',''); + set(h,'ButtonDownFcn',''); + set(gcf,'keypressfcn',''); + end +end diff --git a/matlab/external/gptoolbox/imageprocessing/gray2rgb.m b/matlab/external/gptoolbox/imageprocessing/gray2rgb.m new file mode 100644 index 0000000..2a0c041 --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/gray2rgb.m @@ -0,0 +1,88 @@ +function rgb = gray2rgb(im,map,n) + % GRAY2RGB + % + % rgb = gray2rgb(im,map,n) + % + % Use a colormap, map, to convert a grayscale/intensity image with n colors + % to pseudocolor rgb image. The n colors in the original image are mapped + % evenly to colors in the given colormap, not according to value. + % + % rgb = gray2rgb(im,map) + % + % Same as above but compute number of colors in im + % + % rgb = gray2rgb(im) + % + % Use default colormap and compute number of colors in im + % + % Inputs: + % im grayscale image, 2d array (h,w) + % map colormap + % n (optional) number of colors in im, default is to compute unique colors, + % this is usually preferred but it's time consuming so if the value is + % already known then it can be given. + % Outputs: + % rgb color Red, Green, Blue image, 3d array (h,w,3) + % + % See also: rgb2gray, hsv2rgb, rgb2hsv, imshow + % + + % number of unique colors + if(~exist('n','var')) + n = size(unique(im),1); + end + + if(~exist('map','var')) + if(~exist('gray2ind')) + error( ... + 'Image processing toolbox seems not installed, try again without map') + end + if(isempty(get(0,'CurrentFigure'))) + map = jet(n); + else + map = colormap; + end + %map = jet(n); + m = size(map,1); + else + m = size(map,1); + end + + if(exist('gray2ind')&&n<=65536) + + in = gray2ind(im,n); + + if(strcmp(class(in),'uint8') && (n/(n/m)) > 256) + in = uint16(in); + end + + if( m <= 256 ) + rgb = label2rgb(idivide(in,n/m,'fix')+1,map); + else + rgb = ind2rgb(idivide(in,n/m,'fix'),map); + end + + % if it's not going to change the result it's faster to convert to and + % from uint8 and use label2rgb + if(strcmp(class(im),'double')) + rgb = im2double(rgb); + elseif(strcmp(class(im),'uint16')) + rgb = im2uint16(rgb); + end + else + % slope + m = 1/(1/4); + % precomputation + mim = m*im; + nmim = -mim; + x1 = im<1/8; + x2 = im>=1/8 & im<3/8; + x3 = im>=3/8 & im<5/8; + x4 = im>=5/8 & im<7/8; + x5 = im>=7/8; + rgb = cat( 3, ... + x3.*(mim - (3/8)*m) + x4.*1 + x5.*(nmim + (9/8)*m), ... + x2.*(mim - (1/8)*m) + x3.*1 + x4.*(nmim + (7/8)*m), ... + x1.*(mim + 0.5) + x2.*1 + x3.*(nmim + (5/8)*m)); + end +end diff --git a/matlab/external/gptoolbox/imageprocessing/gray_bars.m b/matlab/external/gptoolbox/imageprocessing/gray_bars.m new file mode 100644 index 0000000..095bf1d --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/gray_bars.m @@ -0,0 +1,40 @@ +function G = depth_bars(im,D,d,varargin) + % DEPTH_BARS Add vertical bars to an image at a specific depth. + % + % Inputs: + % im h by w by c input image + % D h by w 1./depth + % d depth of bars + % Optional: + % 'Color' followed by color of bars {0.8} + % Outputs: + % G h by w by c image with bars + % + + % default values + nc = size(im,3); + color = repmat(0.8,[1 nc]); + % Map of parameter names to variable names + params_to_variables = containers.Map( {'Color'}, {'color'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + color + + w = ceil(size(im,2)/40); + B = im; + for c = 1:nc + B(:,[floor(end/3-w/2+(1:w)) floor(2*end/3-w/2+(1:w))],c) = color(c); + end + G = bsxfun(@times,B,D=d); +end diff --git a/matlab/external/gptoolbox/imageprocessing/hatch.m b/matlab/external/gptoolbox/imageprocessing/hatch.m new file mode 100644 index 0000000..12418ce --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/hatch.m @@ -0,0 +1,63 @@ +function H = hatch(im,levels,thickness) + % HATCH computes dithering hatched image with a number of levels of specified + % thickness + % + % H = hatch(im,levels) + % + % Inputs: + % im original image + % levels number of hatching levels {3} + % thickness thickness of individual hatch lines + % Outputs: + % H hatched image + % + % See also: dith + % + + assert(levels>1); + + % make sure image is grayscale + switch size(im,3) + case 1 + % do nothing, already "grayscale" + case 3 + warning('Converting input image to grayscale using rgb2gray'); + im = rgb2gray(im); + otherwise + error('Input image should be grayscale'); + end + + % make sure image is double + if ~isfloat(im) + warning([ ... + 'Converting image to double, using im2double, ' ... + 'output will also be double']); + im = im2double(im); + end + + + H = zeros(size(im)); + for i = 0:(levels-1) + % compute ratio of black to white for this level + ratio = i/(levels-1); + lo = i/levels; + % compile pattern with this ratio of black to white + pattern = zeros(1,levels-1)'; + for j = 1:(levels-1) + pattern(j) = sum(pattern(1:j))/j < ratio; + end + pattern = repmat(pattern,1,thickness)'; + pattern = pattern(:); + scale = ceil(size(im)./size(pattern)); + pattern_mask = repmat(pattern,scale(1),scale(2)); + pattern_mask = pattern_mask(1:size(im,1),1:size(im,2)); + %if(i == round((levels-1)/2)) + % imshow(pattern_mask); + %end + H( im > lo ) = pattern_mask(im > lo); + end + % get rid of small lines + % b = 1-bwareaopen(1-bwareaopen(h,10),10); + % get rid of speckles in lines + % m = medfilt2(b,[1,5]); +end diff --git a/matlab/external/gptoolbox/imageprocessing/image_laplacian.m b/matlab/external/gptoolbox/imageprocessing/image_laplacian.m new file mode 100644 index 0000000..48ca5a0 --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/image_laplacian.m @@ -0,0 +1,76 @@ +function L = image_laplacian(varargin) + % IMAGE_LAPLACIAN Compute the image laplacian for a given image in the manner + % of "Colorization using Optimization" by [Levin et al. 2004]. This is a sort + % of amalgamation of the literal description in the paper but the knowledge + % that a Laplacian (rather than a bi-Laplacian) is being used. + % + % L = IMAGE_LAPLACIAN(im) + % L = IMAGE_LAPLACIAN(im,'ParameterName',ParameterValue) + % + % Inputs: + % im h by w by (3|1) image (expects double) + % Optional: + % 'Omega' followed by an omega value + % Outputs: + % L w*h by w*h sparse laplacian matrix + % + % See also: cotmatrix, levin, lischinski + % + + im = varargin{1}; + + % width and height + h = size(im,1); + w = size(im,2); + % image size + % w h c harmonic biharmonic + % 185 138 1 0.05 0.1 + % 185 138 3 0.1 + % 93 69 3 0.1 + omega = 0.1; + % number of vertices/pixels + n = h*w; + + if ~strcmp(class(im),'double') + warning('Casting input to double: `im = im2double(im)`'); + im = im2double(im); + end + + ii = 2; + while(ii <= nargin) + switch varargin{ii} + case 'Omega' + ii = ii + 1; + assert(ii<=nargin) + omega = varargin{ii}; + otherwise + error('Unsupported parameter'); + end + ii = ii+1; + end + + % runs across height fastest + I = (1:n)'; + I = reshape(I,h,w); + Ileft = I(1:h,1:(w-1)); + Iright = I(1:h,2:w); + Ibottom = I(1:(h-1),1:w); + Itop= I(2:h,1:w); + % determine neighborhood via FD stencil + E = [ ... + Ileft(:) Iright(:);... + Iright(:) Ileft(:);... + Ibottom(:) Itop(:);... + Itop(:) Ibottom(:);... + ]; + assert(size(E,1) == ((h-1)*w + (w-1)*h)*2); + r = E(:,1); + s = E(:,2); + imlong = reshape(im,size(im,1)*size(im,2),size(im,3)); + + wrs = exp(-sum((imlong(r,:)-imlong(s,:)).^2,2)./(2*omega.^2)); + + L = sparse(r,s,wrs,n,n); + % We've made L(r,s) = wrs, now we need L(r,r) = ∑L(r,s) and L(r,s) = -wrs + L = diag(sum(L,2))-L; +end diff --git a/matlab/external/gptoolbox/imageprocessing/imdir.m b/matlab/external/gptoolbox/imageprocessing/imdir.m new file mode 100644 index 0000000..ea269d2 --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/imdir.m @@ -0,0 +1,23 @@ +function files = imdir(dir_name) + % IMDIR returns image files in directory + % + % files = imdir(dir_name) + % + % Inputs: + % dir_name path to directory + % Outputs: + % files struct array of image files in dir_name + % + % See also: dir + % + + % get list of matlab readable file formats + formats = imformats(); + % build list of formats' extensions: lower and upper case + exts = [formats.ext upper([formats.ext])]; + + files = []; + for k = 1:size(exts,2); + files = [files; dir([dir_name '/*.' exts{k}])]; + end +end diff --git a/matlab/external/gptoolbox/imageprocessing/imgrid.m b/matlab/external/gptoolbox/imageprocessing/imgrid.m new file mode 100644 index 0000000..9354212 --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/imgrid.m @@ -0,0 +1,55 @@ +function varargout = imgrid(im,varargin) + % IMGRID Display an image with a overlay grid. + % + % t = imgrid(im) + % + % Inputs: + % im h by w by channels list of colors/values + % Outputs: + % t handle to surface with colored faces + % + + corner = [1 1]; + show_values = false; + % default values + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'ShowValues'},{'show_values'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + [X,Y] = meshgrid(-0.5+(1:(size(im,2)+1)),-0.5+(1:(size(im,1)+1))); + s = surf(X,Y,zeros(size(X))); + [Q,V] = surf2patch(s); + if size(im,3) == 1 + t = trisurf(Q,V(:,1),V(:,2),V(:,3),'CData',im(:),'EdgeColor',[0.2 0.2 0.2]); + if show_values + [BX,BY] = meshgrid(1:(size(im,2)),1:(size(im,1))); + nz = find(im); + text(BX(nz),BY(nz),num2str(im(nz)), ... + 'HorizontalAlignment','center','FontWeight','bold','FontSize',16); + end + else + imC = reshape(im,[],3); + t = trisurf(Q,V(:,1),V(:,2),V(:,3),'FaceVertexCData',imC); + end + axis equal; + set(gca,'YDir','reverse'); + set(gca,'XAxisLocation','top', ... + 'XColor',[0.4 0.4 0.4],'YColor',[0.4 0.4 0.4]); + view(2); + if nargout>0 + varargout{1} = t; + end +end diff --git a/matlab/external/gptoolbox/imageprocessing/imtrim.m b/matlab/external/gptoolbox/imageprocessing/imtrim.m new file mode 100644 index 0000000..70fa35c --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/imtrim.m @@ -0,0 +1,90 @@ +function [C,top, bottom, left, right] = imtrim(im,varargin) + % IMTRIM auto-crop an image like Photoshop's Edit>Trim feature, as of yet only + % grayscale imagse are supported + % + % C = imtrim(im) + % [C,top,bottom,left,right] = imtrim(im,'ParamName',ParamValue, ...) + % + % Inputs: + % im h by w by nc image + % Optional: + % 'Location' followed by {'NorthWest'} or 'SouthEast' specifying where + % to find trim color + % 'Dims' followed by 2 long logic whether to use each dimension: [1 0] + % means only crop in h and not in w + % 'Threshold' followed by distance threshold {0.1} + % Outputs: + % C sh by wh cropped image + % top index of top pixel in im + % bottom index of bottom pixel in im + % left index of left pixel in im + % righ index of right pixel in im + % + % Copyright Alec Jacobson, 2010 + % + + if ~isfloat(im) + warning('converting input to double'); + im = im2double(im); + end + + location = 'NorthWest'; + % default threshold parameter, works equivalently with Photoshop's + % hardcoded parameter + threshold = 0.1; + dims = [1 1]; + + % parse optional input parameters + v = 1; + while v < numel(varargin) + switch varargin{v} + case 'Location' + assert(v+1<=numel(varargin)); + v = v+1; + location = varargin{v}; + case 'Threshold' + assert(v+1<=numel(varargin)); + v = v+1; + threshold = varargin{v}; + case 'Dims' + assert(v+1<=numel(varargin)); + v = v+1; + dims = varargin{v}; + otherwise + error('Unsupported parameter: %s',varargin{v}); + end + v = v+1; + end + + % gather corner value to which the image is compared + if(strcmp(location,'NorthWest')) + corner_value = im(1,1,:); + elseif(strcmp(location,'SouthEast')) + corner_value = im(1,1,:); + else + error([location ' is not a valid location']); + end + + % get difference of image with corner value + %difference = abs(im - corner_value)>0.1; + % should work for any number of channels + %difference = sqrt(sum((im - corner_value).^2,3)) > ... + % sqrt(threshold^2*size(im,3)); + difference = sqrt(sum(bsxfun(@minus,im,corner_value).^2,3)) > ... + sqrt(threshold^2*size(im,3)); + if dims(2) + [left_i,left] = ind2sub(size(difference),find(difference,1)); + [right_i,right] = ind2sub(size(difference),find(difference,1,'last')); + else + left = 1; + right = size(im,2); + end + if dims(1) + [top_j,top] = ind2sub(size(difference'),find(difference',1)); + [bottom_j,bottom] = ind2sub(size(difference'),find(difference',1,'last')); + else + top = 1; + bottom = size(im,1); + end + C = im(top:bottom,left:right,:); +end diff --git a/matlab/external/gptoolbox/imageprocessing/imwrite_gif.m b/matlab/external/gptoolbox/imageprocessing/imwrite_gif.m new file mode 100644 index 0000000..9af3461 --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/imwrite_gif.m @@ -0,0 +1,20 @@ +function imwrite_gif(S,filename,varargin) + % IMWRITE_GIF Bootstrap `imwrite` to write an animated gif to a file given a + % sequence of images. + % + % Inputs: + % S h by w by c by #frames sequence of color images + % filename path to .gif file + % + % See also: imwrite + % + + for f = 1:size(S,4) + [SIf,cm] = rgb2ind(S(:,:,:,f),256); + if f==1 + imwrite(SIf,cm,filename,'Loop',Inf,'Delay',0); + else + imwrite(SIf,cm,filename,'WriteMode','append','Delay',0); + end + end +end diff --git a/matlab/external/gptoolbox/imageprocessing/levin.m b/matlab/external/gptoolbox/imageprocessing/levin.m new file mode 100644 index 0000000..c4eba15 --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/levin.m @@ -0,0 +1,84 @@ +function L = levin(ntscIm) +% LEVIN Compute an image Laplacian according to the *code* accompanying +% "Colorization Using Optimization" [Levin et al. 2004]. Note that this is not +% the same as what is described in the *text* of the paper. This matrix is not +% symmetric and should be treated as a system matrix rather than a quadratic +% coefficient matrix of an energy. +% +% L = levin(ntscIm) +% +% Inputs: +% ntscIm h by w Luminance image +% Outputs: +% L w*h by w*h spares Laplacian +% +% Note: Anat Levin's code, Alec's interpretation + +n=size(ntscIm,1); m=size(ntscIm,2); +imgSize=n*m; + + +%nI(:,:,1)=ntscIm(:,:,1); + +indsM=reshape([1:imgSize],n,m); + +wd=1; + +len=0; +consts_len=0; +col_inds=zeros(imgSize*(2*wd+1)^2,1); +row_inds=zeros(imgSize*(2*wd+1)^2,1); +vals=zeros(imgSize*(2*wd+1)^2,1); +gvals=zeros(1,(2*wd+1)^2); + + +for j=1:m + for i=1:n + consts_len=consts_len+1; + + %if (~colorIm(i,j)) + tlen=0; + for ii=max(1,i-wd):min(i+wd,n) + for jj=max(1,j-wd):min(j+wd,m) + + if (ii~=i)|(jj~=j) + len=len+1; tlen=tlen+1; + row_inds(len)= consts_len; + col_inds(len)=indsM(ii,jj); + gvals(tlen)=ntscIm(ii,jj,1); + end + end + end + t_val=ntscIm(i,j,1); + gvals(tlen+1)=t_val; + c_var=mean((gvals(1:tlen+1)-mean(gvals(1:tlen+1))).^2); + csig=c_var*0.6; + mgv=min((gvals(1:tlen)-t_val).^2); + if (csig<(-mgv/log(0.01))) + csig=-mgv/log(0.01); + end + if (csig<0.000002) + csig=0.000002; + end + + gvals(1:tlen)=exp(-(gvals(1:tlen)-t_val).^2/csig); + gvals(1:tlen)=gvals(1:tlen)/sum(gvals(1:tlen)); + vals(len-tlen+1:len)=-gvals(1:tlen); + %end + + + len=len+1; + row_inds(len)= consts_len; + col_inds(len)=indsM(i,j); + vals(len)=1; + + end +end + + +vals=vals(1:len); +col_inds=col_inds(1:len); +row_inds=row_inds(1:len); + + +L=sparse(row_inds,col_inds,vals,consts_len,imgSize); diff --git a/matlab/external/gptoolbox/imageprocessing/lischinski.m b/matlab/external/gptoolbox/imageprocessing/lischinski.m new file mode 100644 index 0000000..8f6fc86 --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/lischinski.m @@ -0,0 +1,70 @@ +function A = lischinski(L,varargin) + % LISCHINSKI Construct the discrete laplacian for a given lightness image L + % according to "Interactive Local Adjustment of Tonal Values" by [Lischinski + % et al. 2006] + % + % A = lischinski(L) + % A = lischinski(L,'ParameterName',ParameterValue,...) + % + % Inputs: + % L h by w lightness image + % Optional: + % 'Lambda' followed by lambda value {0.2} + % 'Alpha' followed by alpha value {1} + % 'Epsilon' followed by epsilon value {0.0001} + % Outputs: + % A h*w by h*w sparse laplacian + % + + % default values + lambda = 0.2; + alpha = 1; + epsilon = 0.0001; + + % Parse optional arguments + v = 1; + while(v<=numel(varargin)) + switch varargin{v} + case 'Lambda' + assert((v+1)<=numel(varargin)); + v = v+1; + lambda = varargin{v}; + case 'Alpha' + assert((v+1)<=numel(varargin)); + v = v+1; + alpha = varargin{v}; + case 'Epsilon' + assert((v+1)<=numel(varargin)); + v = v+1; + epsilon = varargin{v}; + otherwise + error(['Unsupported parameter: ' varargin{v}]); + end + v = v+1; + end + + % width and height + h = size(L,1); + w = size(L,2); + % number of pixels + n = h * w; + + % indices of pixels + indices = reshape(1:w*h,h,w); + % down edges + down_I = indices(1:end-1,1:end); + down_J = indices(2:end,1:end); + % across edges + across_I = indices(1:end,1:end-1); + across_J = indices(1:end,2:end); + I = [down_I(:);across_I(:)]; + J = [down_J(:);across_J(:)]; + % build lower triangle + A = sparse(I,J,-lambda*(abs(L(I)-L(J)).^alpha+epsilon).^-1,n,n); + % matrix is symmetric + A = A + A'; + % diagonal entires are -sum of off diagonals + A = A - diag(sum(A,2)); + + +end diff --git a/matlab/external/gptoolbox/imageprocessing/median_filter.m b/matlab/external/gptoolbox/imageprocessing/median_filter.m new file mode 100644 index 0000000..dd7496c --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/median_filter.m @@ -0,0 +1,17 @@ +function M = median_filter(im) + % MEDIAN_FILTER simpler wrapper for calling medfilt2 on each channel + % + % M = median_filter(im) + % + % Input: + % im w by h by c image + % Output: + % M median filtered image in each channel + % + + % This could probably be a one-liner using num2cell and cellfun + M = zeros(size(im)); + for c = 1 : size(im,3) + M(:,:,c) = medfilt2(im(:,:,c)); + end +end diff --git a/matlab/external/gptoolbox/imageprocessing/over.m b/matlab/external/gptoolbox/imageprocessing/over.m new file mode 100644 index 0000000..67a8957 --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/over.m @@ -0,0 +1,33 @@ +function [C,alpha_C] = over(A,alpha_A,B,alpha_B) + % OVER composite image A over image B using alpha masking + % + % [C,alpha_C] = over(A,alpha_A,B,alpha_B) + % + % Inputs: + % A w by h by c image A + % alpha_A alpha mask for image A, either: + % w by h by c + % w by h (same across channels) + % s (same for every pixel) + % B w by h by c image B + % alpha_B alpha mask for image B, either: + % w by h by c + % w by h (same across channels) + % s (same for every pixel) + % Outputs: + % C w by h by c result image, *ALWAYS of type double* + % alpha_C alpha mask for resulting image + % + + % only work with double images + A = im2double(A); + alpha_A = im2double(alpha_A); + B = im2double(B); + alpha_B = im2double(alpha_B); + + % composite images: http://en.wikipedia.org/wiki/Alpha_compositing + C = bsxfun(@times,A,alpha_A) + bsxfun(@times,B,alpha_B.*(1-alpha_A)); + % composite alpha masks + alpha_C = alpha_A + alpha_B.*(1-alpha_A); + +end diff --git a/matlab/external/gptoolbox/imageprocessing/packpng.m b/matlab/external/gptoolbox/imageprocessing/packpng.m new file mode 100644 index 0000000..48d8999 --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/packpng.m @@ -0,0 +1,41 @@ +function rgba = packpng(G,filename,depth) + % PACKPNG pack a grayscale double image into a depth bit RGBA PNG image + % + % rgba = packpng(G,filename,depth) + % + % Inputs: + % G h by w image of doubles in [0,1] + % filename path to png file + % depth number of bits to use: 8 or 16 + % Outputs: + % rgba RGBA png image + % + + % clamp to [0,1] + if any(G(:)<0) + warning('Clamping values as small as %g to 0\n',min(G(:))); + G(G<0) = 0; + end + if any(G(:)>1) + warning('Clamping values as large as %g to 1\n',max(G(:))); + G(G>1) = 1; + end + G_orig = G; + + % scale so 1 becomes (2^depth-1)/2^depth) + G = G*(1 - 2^-depth); + rgba = zeros(size(G,1),size(G,2),4); + rgba_uint16 = uint16(zeros(size(G,1),size(G,2),4)); + for ii = 1:4 + rgba(:,:,ii) = floor(G*(2^depth))/(2^depth); + rgba_uint16(:,:,ii) = uint16(rgba(:,:,ii)*2^16); + G = (G - rgba(:,:,ii))*2^depth; + end + + % imwrite is going to scale the values when we pass doubles, so we need to + % preunscale them + rgba = rgba/(1 - 2^-depth); + imwrite(rgba(:,:,1:3),filename,'BitDepth',depth,'Alpha',rgba(:,:,4)); + [rgba2,~,alpha] = imread(filename);rgba2 = cat(3,rgba2,alpha); + +end diff --git a/matlab/external/gptoolbox/imageprocessing/photoshop_imresize.m b/matlab/external/gptoolbox/imageprocessing/photoshop_imresize.m new file mode 100644 index 0000000..f022e8d --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/photoshop_imresize.m @@ -0,0 +1,62 @@ +function rim = photoshop_imresize(im,z) + % PHOTOSHOP_IMRESIZE resize an image like photoshop with a given zoom. If + % zoomed in enough then faint lines appear separating pixels + % + % rim = photoshop_imresize(im,z) + % + % Inputs: + % im image to show + % z zoom amount, + % Outputs: + % rim resized with pixel separators if necesary + % + + % zoom scale should be either smaller than one or an integer + if z > 1 + z = round(z); + end + + if z <= 5 + rim = imresize(im,z); + else + % number of channels + nc = size(im,3); + % resize image according to zoom scale with nearest neighbor method + rim = imresize(im,z,'nearest'); + % add faint pixel separators, backwards engineered from photoshop + % build mask + pixel_sep_mask = uint8(zeros(z,z)); + pixel_sep_mask(1,1) = 60; + pixel_sep_mask(1,end) = 65; + pixel_sep_mask(end,end) = 60; + pixel_sep_mask(end,1) = 55; + pixel_sep_mask(1,2:(end-1)) = 35; + pixel_sep_mask(end,2:(end-1)) = 29; + pixel_sep_mask(2:(end-1),1) = 29; + pixel_sep_mask(2:(end-1),end) = 35; + + if isfloat(rim) + % convert mask to double + pixel_sep_mask = im2double(pixel_sep_mask); + one = 1.0; + elseif islogical(rim) + % convert mask to double + pixel_sep_mask = im2double(pixel_sep_mask); + % convert image to double + rim = 1.0*rim; + one = 1.0; + else + one = 255; + end + + pixel_sep_mask = repmat(pixel_sep_mask,size(im)); + + if strcmp('uint8',class(rim)); + rim = uint8(uint16(rim).*uint16((one-pixel_sep_mask))/one) + pixel_sep_mask; + else + rim = rim.*one-pixel_sep_mask + pixel_sep_mask; + end + + end + +end diff --git a/matlab/external/gptoolbox/imageprocessing/photoshop_imshow.m b/matlab/external/gptoolbox/imageprocessing/photoshop_imshow.m new file mode 100644 index 0000000..0c7f2ca --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/photoshop_imshow.m @@ -0,0 +1,128 @@ +function photoshop_imshow(im,z) + % PHOTOSHOP_IMSHOW show an image like photoshop with a given zoom. If zoomed in + % enough then faint lines appear separating pixels + % + % photoshop_imshow(im,z) + % + % Inputs: + % im image to show + % z zoom amount, + % + % Note sure how this will work if the plot is zoomed, rotated or put in a + % subplot + + + % current figure handle + fh = gcf; + + if ~exist('z','var') + z = 1; + end + + % zoom scale should be positive + assert(z > 0); + % zoom scale should be either smaller than one or an integer + if z > 1 + z = round(z); + end + + % remove any resize function if one already exists + set(fh,'ResizeFcn',''); + + % resize image + rim = photoshop_imresize(im,z); + ih = imshow(rim); + % get handle to axes + ah = gca; + + set(fh,'ResizeFcn',@onresize); + zh = zoom(fh); + % keep track of range of x + set(zh,'ButtonDownFilter',@zoomfilter); + %set(zh,'ActionPreCallback',@beforezoom); + %set(zh,'ActionPostCallback',@afterzoom); + + AP = get(ah,'Position'); + %xlim = get(ah,'XLim'); + %ylim = get(ah,'YLim'); + + %P = get(gcf,'Position'); + %set(gcf,'Position',[P(1:2) z*size(im,2) z*size(im,1)]); + %set(gca,'Position',[0 0 1 1]); + + function onresize(src,ev) + %% axis position + %AP = get(ah,'Position'); + % figure position + P = get(fh,'Position'); + % displayed scale of image is min of axis position times figure position + %d = min((AP([4 3]).*P([4 3]))./[size(im,1) size(im,2)]); + z = min((AP([4 3]).*P([4 3]))./[size(im,1) size(im,2)]); + if z > 1 + z = round(z); + end + z = max([z 1/min([size(im,1) size(im,2)])]); + rim = photoshop_imresize(im,z); + assert(min(size(rim)) > 0) + % temporarily turn off resize func to prevent recursion + set(fh,'ResizeFcn',''); + set(ih,'CData',rim); + set(ih,'XData',[1 size(rim,2)]); + set(ih,'YData',[1 size(rim,1)]); + set(ah,'XLim',[0.5 size(rim,2)+0.5]); + set(ah,'YLim',[0.5 size(rim,1)+0.5]); + %xlim = get(ah,'XLim'); + %ylim = get(ah,'YLim'); + + WH = [size(rim,2) size(rim,1)]./P([3 4]); + set(ah,'Position',[(1-WH)*0.5 WH]); + set(fh,'ResizeFcn',@onresize); + end + + + % zoom filter + function res = zoomfilter(src,ev) + res = false; + end + + %prev_xlim = []; + %prev_ylim = []; + %% pre zoom callback + %function beforezoom(src,ev) + % prev_xlim = get(ah,'XLim'); + % prev_ylim = get(ah,'YLim'); + % get(ah,'Xlim') + %end + + %zz = 1; + %% post zoom callback + %function afterzoom(src,ev) + % get(ah,'Xlim') + % new_xlim = get(ah,'XLim'); + % new_ylim = get(ah,'YLim'); + % % zoom scale + % zz = zz*sum(prev_xlim.*[-1 1])/sum(new_xlim.*[-1 1]); + % % temporarily turn off resize func to prevent recursion + % set(fh,'ResizeFcn',''); + % rim = photoshop_imresize(im,zz*z); + % set(ih,'CData',rim); + % %set(ah,'Xlim',(new_xlim-xlim(1))*zz+new_xlim(1)); + % %set(ah,'Ylim',(new_ylim-ylim(1))*zz+new_ylim(1)); + + % set(ih,'XData',[1 size(rim,2)]); + % set(ih,'YData',[1 size(rim,1)]); + % set(ah,'Xlim',(new_xlim-0.5)*zz+0.5) + % set(ah,'Ylim',(new_ylim-0.5)*zz+0.5); + % %set(ah,'XLim',[0.5 size(rim,2)+0.5]); + % %set(ah,'YLim',[0.5 size(rim,1)+0.5]); + % %xlim = get(ah,'XLim'); + % %ylim = get(ah,'YLim'); + % %%%imshow(rim,'Parent',ah); + % %rxlim = get(ah,'Xlim'); + % %rylim = get(ah,'Ylim'); + % %set(ah,'Xlim',(new_xlim-xlim(1))*zz+rxlim(1)); + % %set(ah,'Ylim',(new_ylim-ylim(1))*zz+rylim(1)); + % set(fh,'ResizeFcn',@onresize); + %end + +end diff --git a/matlab/external/gptoolbox/imageprocessing/randdither.m b/matlab/external/gptoolbox/imageprocessing/randdither.m new file mode 100644 index 0000000..9218146 --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/randdither.m @@ -0,0 +1,64 @@ +function D = randdither(im) + % RANDDITHER Dither an image using random noise + % + % D = randdither(im) + % + % Input: + % im grayscale image. + % Output: + % D dithered image + % + % See also: dith + + + h = size(im,1); + w = size(im,2); + + K = [1,2,1;2,0,2;1,2,1]; + offset = [1,1]; + K = fspecial('gaussian',5,5); + offset = [2,2]; + + K(1+offset(1),1+offset(2)) = 0; + K = K./sum(K(:)); + + D = zeros(size(im)+size(K)); + O = zeros(size(im)+size(K)); + + % original image + O(offset(1)+(1:h),offset(2)+(1:w)) = im; + + % random path through pixels of original image + [I,J] = ind2sub([h,w],1:(h*w)); + P = [I;J]'; + P = P(randperm(size(P,1)),:); + P(:,1) = P(:,1) + offset(1); + P(:,2) = P(:,2) + offset(2); + + % keep track of which pixels have not been processed + F = ones(size(im)+size(K)); + + % precompute indices of diffusion region + dY = (1:size(K,1))-1-offset(1); + dX = (1:size(K,2))-1-offset(2); + + for pi = 1:size(P,1) + y = P(pi,1); + x = P(pi,2); + D(y,x) = round(O(y,x)); + e = O(y,x) - D(y,x); + F(y,x) = 0; + Y = y + dY; + X = x + dX; + KK = F(Y,X).*K; + if(sum(KK(:))>0) + % commenting this normalization out, has sort of an Atkinson effect + KK = KK./sum(KK(:)); + O(Y,X) = O(Y,X) + KK.*e; + end + end + + % resize D to be same as original image + D = D(offset(1)+(1:h),offset(2)+(1:w)); + +end diff --git a/matlab/external/gptoolbox/imageprocessing/random_color.m b/matlab/external/gptoolbox/imageprocessing/random_color.m new file mode 100644 index 0000000..07359f7 --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/random_color.m @@ -0,0 +1,59 @@ +function R = random_color(n,preset) + % RANDOM_COLOR generate a list of random colors + % + % R = random_color(size) + % or + % R = random_color(size,preset) + % + % Inputs: + % size size of matrix of random colors to generate + % preset string containing colormap name or 'Pastel' + % Outputs: + % R size by 3 list of RGB colors + % + + + if(~exist('n','var')) + n = 1; + end + if(~exist('preset','var')) + preset = ''; + end + + switch preset + case '' + R = rand([n,3]); + case 'Pastel' + attempt = 0; + % probably should be between O(n) and O(log n) + max_attempts = 10*prod(n); + retry = true([prod(n),1]); + R = zeros([prod(n),3]); + while(attempt < max_attempts) + num_retry = sum(retry); + R(retry,:) = rand(num_retry,3); + R(retry,:) = (291/255) * R(retry,:)./repmat(sum(R(retry,:),2),1,3); + %retry(retry) = max(R(retry,:),[],2) > 0; + % too bright + next_retry = retry; + next_retry(retry) = ... + (max(R(retry,:),[],2) - min(R(retry,:),[],2)) > (221/255) ; + % too grey + next_retry(retry) = std(R(retry,:),0,2) < (68/255); + if(~any(next_retry)) + break; + end + retry = next_retry; + attempt = attempt+1; + end + R=reshape(R,[n 3]) + 34/255; + case {'jet','hsv','hot','pink','flag','bone','gray','cool','copper'} + f = str2func(preset); + R = f(n*10); + R = R(randperm(end),:); + R = R(1:n,:); + otherwise + error('Unsupported preset'); + end + +end diff --git a/matlab/external/gptoolbox/imageprocessing/roifillpyramid.m b/matlab/external/gptoolbox/imageprocessing/roifillpyramid.m new file mode 100644 index 0000000..0f1ec45 --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/roifillpyramid.m @@ -0,0 +1,79 @@ +function J = roifillpyramid(I,BW) + % ROIFILLPYRAMID reimplement matlab's image processing toolbox's roifill + % function using multiresolution image pyramid and iterative solve for + % laplace equation. + % + % J = roifillpyramid(I,BW) + % + % Inputs: + % I h by w by c source image with hole + % BW h by w binary image specifying where to fill + % Outputs: + % J h by w by c Filled image + % + + assert(size(I,1) == size(BW,1)); + assert(size(I,2) == size(BW,2)); + % width + w = size(I,2); + % height + h = size(I,1); + % number of channels + nc = size(I,3); + + nw = 2^ceil(log2(max([w h])))+1; + nh = nw; + NI = zeros( [ nw nh nc ]); + NI(1:h,1:w,:) = I; + NBW = false( [ nw nh nc ]); + NBW(1:h,1:w,:) = repmat(BW,[1 1 nc]); + + + % number of levels in pyramid + nl = floor(log2(min([nw h]))); + % pyramid image of original image + PI = {}; + PBW = {}; + PI{1} = NI; + % pyramid image of original mask + PBW{1} = NBW; + % reduce until at smallest level + for( level = 2:nl) + PI{level} = impyramid(PI{level-1},'reduce'); + PBW{level} = impyramid(PBW{level-1},'reduce'); + end + f = fspecial('gaussian',[3 3]); + % expand until back at largest level + for( level = ((nl:-1:2))) + + up = impyramid(PI{level},'expand'); + old = PI{level-1}; + PI{level-1} = ... + (~PBW{level-1}).*PI{level-1} + ... + ( PBW{level-1}).*up; + + if(any(PBW{level-1}(:))) + for( c = 1:nc) + diff = 1; + min_diff = 1e-5; + iter = 0; + max_iterations = 100; + while(diff > min_diff && iter < max_iterations) + old = PI{level-1}(:,:,c); + PI{level-1}(:,:,c) = roifilt2(f,PI{level-1}(:,:,c),PBW{level-1}(:,:,c)); + diff = sqrt(sum(sum((old-PI{level-1}(:,:,c)).^2)))/size(PBW{level-1},1); + iter = iter + 1; + end + if(iter >= max_iterations) + fprintf('Max iterations reached...\n'); + end + if(diff < min_diff) + fprintf('Minimal change reached...\n'); + end + end + end + + end + + J = PI{1}(1:h,1:w,:); +end diff --git a/matlab/external/gptoolbox/imageprocessing/sliding_comparison.m b/matlab/external/gptoolbox/imageprocessing/sliding_comparison.m new file mode 100644 index 0000000..e67aeaa --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/sliding_comparison.m @@ -0,0 +1,46 @@ +function [ph,ih] = sliding_comparison(A,B) + % SLIDING_COMPARISON Create a figure which allows the user to mouse over and + % move a sliding splitter to compare two images interactively. + % + % Inputs: + % A h by w by c left image (should be double) + % B h by w by c right image (should be double) + % Outputs: + % ph handle to plot of separator line + % ih handle to image line + % + function C = split(A,B,x) + x = max(min(x,size(A,2)),1); + C = [A(:,1:round(x)-1,:) B(:,round(x):end,:)]; + end + + function onmove(src,ev) + % get current mouse position, and remember old one + pos=get(gca,'currentpoint'); + x = pos(1,1,1); + if ishandle(ih) && ishandle(ph) + set(ph,'XData',repmat(x,1,2)); + set(ih,'CData',split(A,B,x)); + else + % Clean up + set(gcf,'windowbuttonmotionfcn',old_onmove); + end + drawnow + end + + w = size(A,2); + h = size(A,1); + % `imshow` will clamp but `set(...,'CData',...)` will not + clamp = @(X) max(min(X,1),0); + A = clamp(A); + B = clamp(B); + + x = w/2; + ih = imshow(split(A,B,x)); + hold on; + ph = plot([x;x],[0;h],'LineWidth',2); + hold off; + + old_onmove = get(gcf,'windowbuttonmotionfcn'); + set(gcf,'windowbuttonmotionfcn',@onmove); +end diff --git a/matlab/external/gptoolbox/imageprocessing/unique_images.m b/matlab/external/gptoolbox/imageprocessing/unique_images.m new file mode 100644 index 0000000..090d3d1 --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/unique_images.m @@ -0,0 +1,35 @@ +function [U,D] = unique_images(dir_name) + % UNIQUE_IMAGES Generate a list of unique and duplicate images in a + % directory. + % + % [U,D] = unique_images(dir_name) + % + % Inputs: + % dir_name path to directory + % Outputs: + % U list of unique images/image paths + % D list of duplicate iamges, so that [U,D] are all images + % + + assert(isdir(dir_name)); + files = imdir(dir_name); + U = {}; + ucount = 0; + D = {}; + dcount = 0; + valid = true(size(files)); + + for ii = 1:numel(files) + fii = [dir_name '/' files(ii).name]; + imii = imread(fii); + for jj = (ii+1):numel(files) + imjj = imread([dir_name '/' files(jj).name]); + if all(size(imii) == size(imjj)) && all(imii(:) == imjj(:)) + valid(jj) = false; + end + end + end + U = files(valid); + D = files(~valid); + +end diff --git a/matlab/external/gptoolbox/imageprocessing/unpackpng.m b/matlab/external/gptoolbox/imageprocessing/unpackpng.m new file mode 100644 index 0000000..76f12a7 --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/unpackpng.m @@ -0,0 +1,46 @@ +function [G,depth] = unpackpng(varargin) + % UNPACKPNG unpack a rgba image read from a png file to a grayscale image of + % doubles + % + % [G,depth] = unpackpng(filename) + % [G,depth] = unpackpng(rgba) + % + % Inputs: + % filename path to png file + % rgba h by w by 4 RGBA image + % Outputs: + % G h by w image of doubles + % depth number of bits used: 8 or 16 + % + + if ischar(varargin{1}) + [rgb,~,alpha] = imread(varargin{1}); + rgba = cat(3,rgb,alpha); + else + rgba = varargin{1}; + if ~isa(rgba,'uint16') + warning('Converting input to uint16'); + rgba = im2uint16(rgba); + end + end + + if isa(rgba,'uint16') + depth = 16; + elseif isa(rgba,'uint8') + depth = 8; + else + error('Unable to recognize bit depth'); + end + %rgba = double(rgba); + %rgba = im2double(rgba)*(1-2^-depth)*2^depth; + rgba = im2double(rgba); + squeeze(rgba(1,:,:)) + rgba = rgba*(1-2^-depth)*2^depth; + % unpack + G = zeros(size(rgba,1),size(rgba,2)); + for ii = 1:4 + G = G + rgba(:,:,ii)*2^(-ii*depth); + end + G = G/(1 - 2^-depth); + +end diff --git a/matlab/external/gptoolbox/imageprocessing/vhs.m b/matlab/external/gptoolbox/imageprocessing/vhs.m new file mode 100644 index 0000000..66649b3 --- /dev/null +++ b/matlab/external/gptoolbox/imageprocessing/vhs.m @@ -0,0 +1,120 @@ +function V = vhs(im,varargin) + % VHS Apply a VHS filter to an image + % + % V = vhs(im) + % V = vhs(im,'ParameterName',ParameterValue,...) + % + % Inputs: + % im h by w by c image + % Optional: + % 'VerticalLoop' followed by whether to loop the bent strip vertically + % over time and output a sequence of images. + % Output: + % V h by w by c by f image of (f long sequence of images) + % + + looping = false; + % Map of parameter names to variable names + params_to_variables = containers.Map( {'VerticalLoop'},{'looping'}); + v = 1; + iter = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + if looping + strip_top = 1; + else + strip_top = ceil(0.4*size(im,1)); + end + + first = 1; + while true + + % http://mikeyjam.buzznet.com/user/journal/12237761/tutorial-getting-vhs-tv-effect/ + A = im; + B = im; + C = im; + D = im; + % exclusion blend like photoshop + % http://www.deepskycolors.com/archive/2010/04/21/formulas-for-Photoshop-blending-modes.html + ex = @(T,B) 0.5 - 2.*(T-0.5).*(B-0.5); + % kill color channels + A(:,:,1) = 0; + B(:,:,2) = 0; + C(:,:,3) = 0; + % Shift color layers + nudge = @(f) ceil(f*rand(1)*size(im,2)); + A = A(:,mod(nudge(0.02)+(1:end)-1,end)+1,:); + B = B(:,mod(nudge(0.02)+(1:end)-1,end)+1,:); + C = C(:,mod(nudge(0.02)+(1:end)-1,end)+1,:); + A = A(mod(nudge(0.005)+(1:end)-1,end)+1,:,:); + B = B(mod(nudge(0.005)+(1:end)-1,end)+1,:,:); + C = C(mod(nudge(0.005)+(1:end)-1,end)+1,:,:); + % exclusion blend colored layers and alpha blend with original + + F = D+0.3*(ex(ex(C,B),A)-D); + N = rand(size(im)); + + % inverse mapping function + bend_w = (2*rand(1)-1)*5; + bend = @(x,u) [mod(x(:,1)+(1-x(:,2)/max(x(:,2))).^2*bend_w,max(x(:,1))) x(:,2)]; + % maketform arguments + ndims_in = 2; + ndims_out = 2; + tdata = []; + tform = maketform('custom', 2,2, [], bend, tdata); + + % Bend strip + strip_h = ceil(1/4*size(im,1)); + strip = mod(strip_top+(1:strip_h)-1,size(im,1))+1; + F(strip,:,:) = imtransform(F(strip,:,:), tform); + + % overlay gray line + ol= @(T,B) (T>0.5).*(1-(1-2.*(T-0.5)).*(1-B))+(T<=0.5).*((2.*T).*B); + G = repmat(0.75,[numel(-1:1) size(F,2) size(F,3)]); + F(mod(strip_top+(-1:1)-1,size(F,1))+1,:,:) = ... + ol( F(mod(strip_top+(-1:1)-1,size(F,1))+1,:,:),G); + + + % overlay horizontal lines + L = zeros(size(F)); + L(1:4:end,:,:) = 1; + L(2:4:end,:,:) = 1; + L = imfilter(L,fspecial('gaussian',[5 5],1.5),'replicate'); + F = ol(F,L); + + % Fade in random color gradient + m = rand(1,2)*2-1; + R = bsxfun(@plus,m(1)*(1:size(F,2)),m(2)*(1:size(F,1))'); + R = (R-min(R(:)))./(max(R(:))-min(R(:))); + R = gray2rgb(R,colormap(jet(255))); + F = F+0.05*(ol(F,R)-F); + + % soft light + sl = @(T,B) (B>0.5).*(1-(1-T).*(1-(B-0.5))) + (B<=0.5).*(T.*(B+0.5)); + F = F + 0.15*(sl(F,N)-F); + + % sharpen + V(:,:,:,iter) = imsharpen(F); + + %imshow(V(:,:,:,iter)); + %drawnow; + + strip_top = strip_top+round(0.057*size(im,1)); + iter = iter+1; + if ~looping || strip_top > size(im,1) + break; + end + + end +end diff --git a/matlab/external/gptoolbox/images/baboon.jpg b/matlab/external/gptoolbox/images/baboon.jpg new file mode 100644 index 0000000..1dfb3e1 Binary files /dev/null and b/matlab/external/gptoolbox/images/baboon.jpg differ diff --git a/matlab/external/gptoolbox/images/david.png b/matlab/external/gptoolbox/images/david.png new file mode 100644 index 0000000..fef9ddf Binary files /dev/null and b/matlab/external/gptoolbox/images/david.png differ diff --git a/matlab/external/gptoolbox/images/dorgan-brothers.jpg b/matlab/external/gptoolbox/images/dorgan-brothers.jpg new file mode 100644 index 0000000..45ea477 Binary files /dev/null and b/matlab/external/gptoolbox/images/dorgan-brothers.jpg differ diff --git a/matlab/external/gptoolbox/images/gorilla-yawning.png b/matlab/external/gptoolbox/images/gorilla-yawning.png new file mode 100644 index 0000000..2b361cc Binary files /dev/null and b/matlab/external/gptoolbox/images/gorilla-yawning.png differ diff --git a/matlab/external/gptoolbox/images/half-black-half-white-square.png b/matlab/external/gptoolbox/images/half-black-half-white-square.png new file mode 100644 index 0000000..ee3097f Binary files /dev/null and b/matlab/external/gptoolbox/images/half-black-half-white-square.png differ diff --git a/matlab/external/gptoolbox/images/hans-hass.jpg b/matlab/external/gptoolbox/images/hans-hass.jpg new file mode 100644 index 0000000..3fa5812 Binary files /dev/null and b/matlab/external/gptoolbox/images/hans-hass.jpg differ diff --git a/matlab/external/gptoolbox/images/max-schmeling-landscape.png b/matlab/external/gptoolbox/images/max-schmeling-landscape.png new file mode 100644 index 0000000..1132c60 Binary files /dev/null and b/matlab/external/gptoolbox/images/max-schmeling-landscape.png differ diff --git a/matlab/external/gptoolbox/images/max-schmeling.jpg b/matlab/external/gptoolbox/images/max-schmeling.jpg new file mode 100644 index 0000000..51641ec Binary files /dev/null and b/matlab/external/gptoolbox/images/max-schmeling.jpg differ diff --git a/matlab/external/gptoolbox/images/nuclear-blast-observers.png b/matlab/external/gptoolbox/images/nuclear-blast-observers.png new file mode 100644 index 0000000..345c2be Binary files /dev/null and b/matlab/external/gptoolbox/images/nuclear-blast-observers.png differ diff --git a/matlab/external/gptoolbox/images/nuclear-blast.png b/matlab/external/gptoolbox/images/nuclear-blast.png new file mode 100644 index 0000000..1f0f41c Binary files /dev/null and b/matlab/external/gptoolbox/images/nuclear-blast.png differ diff --git a/matlab/external/gptoolbox/images/otto-freundlich.jpg b/matlab/external/gptoolbox/images/otto-freundlich.jpg new file mode 100644 index 0000000..e1956f7 Binary files /dev/null and b/matlab/external/gptoolbox/images/otto-freundlich.jpg differ diff --git a/matlab/external/gptoolbox/matrix/cspy.m b/matlab/external/gptoolbox/matrix/cspy.m new file mode 100644 index 0000000..d1e2449 --- /dev/null +++ b/matlab/external/gptoolbox/matrix/cspy.m @@ -0,0 +1,22 @@ +function cspy(S,epsilon) + % cspy Visualize sparsity pattern. coloring positive and negative entries of S + % in red and blue respectively + % + % cspy(S) + % cspy(S,epsilon) + % + % Inputs: + % S m by n (sparse) matrix + % epsilon zero value {0} + % + % See also: spy + % + + if nargin < 2 + epsilon = 0; + end + spy(S>epsilon,'r'); + hold on; + spy(S<-epsilon,'b'); + hold off; +end diff --git a/matlab/external/gptoolbox/matrix/default_mosek_param.m b/matlab/external/gptoolbox/matrix/default_mosek_param.m new file mode 100644 index 0000000..cc59664 --- /dev/null +++ b/matlab/external/gptoolbox/matrix/default_mosek_param.m @@ -0,0 +1,4 @@ +function [param,mosek_exists] = default_mosek_param() + warning('deprecated. please call default_quadprog_param()'); + [param,mosek_exists] = default_quadprog_param(); +end diff --git a/matlab/external/gptoolbox/matrix/default_quadprog_param.m b/matlab/external/gptoolbox/matrix/default_quadprog_param.m new file mode 100644 index 0000000..197ea78 --- /dev/null +++ b/matlab/external/gptoolbox/matrix/default_quadprog_param.m @@ -0,0 +1,75 @@ +function [param,mosek_exists] = default_quadprog_param() + % DEFAULT_QUADPROG_PARAM + % + % [param,mosek_exists] = default_quadprog_param() + % + % Outputs: + % param stuct containing some nice default mosek params + % mosek_exists whether mosek exists + % + + % Tolerance parameter + % >1e0 NONSOLUTION + % 1e-1 artifacts in deformation + % 1e-3 artifacts in isolines + % 1e-4 seems safe for good looking deformations + % 1e-8 MOSEK DEFAULT SOLUTION + % 1e-14 smallest allowed value + if(exist('mosekopt','file')) + + % always use one core and always leave one core + num_threads = max(feature('numCores')-1,1); + if(isunix) + % Get the real number of cores + [r,c] = system('sysctl hw.ncpu | awk ''{print $2}'''); + if r==0 + c = str2double(c); + if ~isnan(c) + num_threads = max(c-1,1); + end + end + end + % Different parameter for mosek 7 + if ~isempty(strfind(which('mosekopt'),'7')) + param.MSK_IPAR_NUM_THREADS = num_threads; + else + param.MSK_IPAR_INTPNT_NUM_THREADS = num_threads; + param.Diagnostics = 'on'; + param.Display = 'iter'; + end + param.MSK_IPAR_CHECK_CONVEXITY = 'MSK_CHECK_CONVEXITY_NONE'; + param.MSK_DPAR_INTPNT_TOL_REL_GAP = 1e-14; + %param.MSK_DPAR_INTPNT_CO_TOL_REL_GAP = 0; + %param.MSK_DPAR_INTPNT_CO_TOL_PFEAS = 0; + %param.MSK_DPAR_INTPNT_CO_TOL_MU_RED = 0; + %param.MSK_DPAR_INTPNT_CO_TOL_INFEAS = 0; + %param.MSK_IPAR_INTPNT_ORDER_METHOD = 'MSK_ORDER_METHOD_NONE'; + + mosek_exists = true; + else + mosek_exists = false; + if(verLessThan('matlab','7.12')) + % old matlab does not solve quadprog with sparse matrices: SLOW + % solution: dowloand MOSEK or upgrade to 2011a or greater + warning([ ... + 'You are using an old version of MATLAB that does not support ' ... + 'solving large, sparse quadratic programming problems. The ' ... + 'optimization will be VERY SLOW and the results will be ' ... + 'INACCURATE. Please install Mosek or upgrade to MATLAB version >= ' ... + '2011a.']); + else + % Tell matlab to use interior point solver, and set tolerance + % 1e-8 MATLAB DEFAULT SOLUTION (very low accuracy) + % 1e-10 (low accuracy) + % 1e-12 (medium-low accuracy) + % 1e-14 (medium accuracy) + % 1e-16 (high accuracy) + param = optimset( ... + 'TolFun',1e-16, ... + 'Algorithm','interior-point-convex', ... + ... % 'Algorithm','active-set', ... + 'MaxIter', 1000, ... + 'Display','off'); + end + end +end diff --git a/matlab/external/gptoolbox/matrix/diag_blk_inv.m b/matlab/external/gptoolbox/matrix/diag_blk_inv.m new file mode 100644 index 0000000..484bb27 --- /dev/null +++ b/matlab/external/gptoolbox/matrix/diag_blk_inv.m @@ -0,0 +1,42 @@ +function N = diag_blk_inv(M,k) + % DIAG_BLK_INV Invert a block matrix made out of square diagonal blocks. M + % should be of the form: + % + % M = [M11 M12 ... M1n + % M21 ... + % ... + % Mn1 Mn2 ... Mnn]; + % where each Mij is a diagonal matrix. + % + % Inputs: + % M n*k by n*k matrix made out of diagonal blocks. + % k size of blocks + % Outputs: + % N n*k by n*k matrix inverse of M + % + + switch k + case 1 + assert(isdiag(M)); + N = diag(sparse(1./diag(M))); + return; + end + + assert(size(M,1)==size(M,2),'Must be square'); + assert(rem(size(M,1),k)==0,'Must be divisble by k'); + n = size(M,1)/k; + % Extract 4 blocks + A = M(0*n+(1:(k-1)*n),0*n+(1:(k-1)*n)); + B = M(0*n+(1:(k-1)*n),(k-1)*n+(1:n)); + C = M((k-1)*n+(1:n),0*n+(1:(k-1)*n)); + D = M((k-1)*n+(1:n),(k-1)*n+(1:n)); + assert(isdiag(D)); + % https://en.wikipedia.org/wiki/Invertible_matrix#Blockwise_inversion + Ainv = diag_blk_inv(A,k-1); + % Schur complement + S = (D-C*Ainv*B); + assert(isdiag(S)); + Sinv = diag_blk_inv(S,1); + N = [Ainv + Ainv*B*Sinv*C*Ainv -Ainv*B*Sinv; ... + -Sinv*C*Ainv Sinv]; +end diff --git a/matlab/external/gptoolbox/matrix/interleave_rows.m b/matlab/external/gptoolbox/matrix/interleave_rows.m new file mode 100644 index 0000000..d4b11f2 --- /dev/null +++ b/matlab/external/gptoolbox/matrix/interleave_rows.m @@ -0,0 +1,21 @@ +function C = interleave_rows(A,B) + % Takes two nxm matrices and creates a 2nxm matrix such that even rows are + % from the first matrix and odd rows are from the second. + % + % C = interleave_rows(A,B) + % + % Input: + % A First nxm matrix, top row of output will be same as top of this matrix + % along with every other row + % B Second nxm matrix, bottom row of output will be same as bottom of this + % matrix along with every other row + % + % Output: + % C 2nxm matrix, alternating rows + % + % + if(size(A)~=size(B)) + error('Input matrices must be same shape'); + end + C = reshape([A(:) B(:)]',size(A,1)*2, size(A,2)); +end diff --git a/matlab/external/gptoolbox/matrix/kroneye.m b/matlab/external/gptoolbox/matrix/kroneye.m new file mode 100644 index 0000000..9193a10 --- /dev/null +++ b/matlab/external/gptoolbox/matrix/kroneye.m @@ -0,0 +1,37 @@ +function K = kroneye(A,n) + % KRONEYE Take kronecker product with sparse identity in fast way. Compare + % performance to kron(A,speye(n,n)) + % + % K = kroneye(A,n) + % + % Inputs: + % A #rows by #cols sparse matrix + % n size of identity + % Outputs: + % K #rows*n by #cols*n sparse matrix + % + % See also: repdiag, kron + % + + %% Slow: + %% http://www.mathworks.com/matlabcentral/newsreader/view_thread/17046 + %K(1:m+1:m^2,:) = repmat(A(:).',n,1); + %K = reshape(permute(reshape(K,[m n size(A)]),[1 3 2 4]),[m*size(A,1) n*size(A,2)]); + if ~issparse(A) + A = sparse(A); + end + + if n >10*size(A,1) + K = kron(A,speye(n)); + return; + end + + % Compute kron(speye(n,n),A) in a fast way + C = cell(n,1); + [C{:}] = deal(A); + K = blkdiag(C{:}); + % Rearrange rows and columns + I = reshape(reshape(1:(size(A,1)*n),size(A,1),n)',size(A,1)*n,1); + J = reshape(reshape(1:(size(A,2)*n),size(A,2),n)',size(A,2)*n,1); + K = K(I,J); +end diff --git a/matlab/external/gptoolbox/matrix/linsolve_with_fixed.m b/matlab/external/gptoolbox/matrix/linsolve_with_fixed.m new file mode 100644 index 0000000..ce748a3 --- /dev/null +++ b/matlab/external/gptoolbox/matrix/linsolve_with_fixed.m @@ -0,0 +1,40 @@ +function x = linesolve_with_fixed(A,b,known,c) +% LINSOLVE_WITH_FIXED solves linear system Ax=b with +% known coefficients x(known) +% +% x = linesolve_with_fixed(A,b,known,c) +% +% Inputs: +% A n by n matrix of quadratic coefficients +% b n by 1 column of linear coefficients +% known c by 1 column of indices of known coefficients +% c c by 1 column of known coefficients +% Outputs: +% x n by cols solution + +Nk = length(known); +Uk = size(A,1) - Nk; + +% create permutation vectors +idx = 1:size(A,1); +idx(known) = 0; +P = [find(idx');known]; +[y,PI] = sort(P); + +% reordering (unknowns;knowns) +A = A(P,P); +b = b(P); + +% split in unknowns and knowns +U = A(1:Uk,1:Uk); +K = A(1:Uk,Uk+1:end); +b = b(1:Uk); + +% solve system +x = U\(b-K*c); + +% reorder solution +x = [x;c]; +x = x(PI); + +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/matrix/lu_lagrange.m b/matlab/external/gptoolbox/matrix/lu_lagrange.m new file mode 100644 index 0000000..1a8465b --- /dev/null +++ b/matlab/external/gptoolbox/matrix/lu_lagrange.m @@ -0,0 +1,125 @@ +function [L,U,p,PT] = lu_lagrange(ATA,C,J,S) + % LU_LAGRANGE Compute a LU decomposition for a special type of + % matrix Q that is symmetric but not positive-definite: + % Q = [A'*A C + % C' 0]; + % where A'*A, or ATA, is given as a symmetric positive definite matrix and C + % has full column-rank(?) + % http://www.alecjacobson.com/weblog/?p=2242 + % http://www.alecjacobson.com/weblog/?p=2480 + % + % This is often called the "Schur complement trick". + % + % [L,U] = lu_lagrange(ATA,C) + % [L,U,p,PT] = lu_lagrange(ATA,C,J,S) + % + % Inputs: + % ATA n by n square, symmetric, positive-definite system matrix, usually + % the quadratic coefficients corresponding to the original unknowns in a + % system + % C n by m rectangular matrix corresponding the quadratic coefficients of + % the original unknowns times the lagrange multipliers enforcing linear + % equality constraints + % Optional: + % J n by n lower triangular result of [J] = chol(ATA,'lower') + % S n by n permutation matrix result of [J,p,S] = chol(ATA,'lower'), + % notice now J is also different, requires that PT is computed in + % output parameters + % Outputs: + % L lower triangular matrix such that Q = L*U + % U upper triangular matrix such that Q = L*U + % p flag returned from last call to chol + % PT permutation matrix, such that PT'*Q*PT = L*U, requires that S is given + % if J is given + % + % Notes: This only seems worthwhile when m << n + % + % See also: chol, lu, min_quad_with_fixed + % + + % number of unknowns + n = size(ATA,1); + % number of lagrange multipliers + m = size(C,2); + % constraints should not have null columns + assert(~any(all(C==0))); + + assert(size(ATA,2) == n); + assert(size(C,1) == n); + + L = []; + U = []; + p = 0; + PT = []; + + if ~exist('J','var') || isempty(J) + if nargout >= 4 + % compute lower triangular of cholesky factorization of ATA, with + % permutation matrix + [J,p,S] = chol(ATA,'lower'); + else + % compute lower triangular of cholesky factorization of ATA + [J,p] = chol(ATA,'lower'); + end + else + assert(all(size(J) == size(ATA))) + % if permutation matrix S of chol factor of A is given then we must be + % outputing final permutation S + if exist('S','var') + assert(nargout >= 4) + end + end + + % if computing permutation matrix in output then we need S permutation of + % chol factor of ATA + if nargout >= 4 + assert(0 ~= exist('S','var')); + assert(all(size(S) == size(ATA))); + end + + if p ~= 0 + return; + end + + % construct helper matrix M + if nargout >= 4 + M = J\(S'*C); + else + M = J\C; + end + + % compute cholesky factorization of M'*M + if nargout >= 4 + if issparse(M) + [K,p,T] = chol(M'*M,'lower'); + else + [K,p] = chol(M'*M,'lower'); + T = speye(size(K)); + end + else + [K,p] = chol(M'*M,'lower'); + end + + if p ~= 0 + return; + end + + % assemble LU decomposition of Q + if(issparse(ATA)) + Z = sparse(n,m); + else + Z = zeros(n,m); + end + + if nargout >= 4 + M = M*T; + PT = blkdiag(S,T); + end + + U = [J' M;Z' -K']; + %L = [J Z;M' K]; + % this is slightly faster + L = U'; + L(n+(1:m),n+(1:m)) = -L(n+(1:m),n+(1:m)); + +end diff --git a/matlab/external/gptoolbox/matrix/matrixnormalize.m b/matlab/external/gptoolbox/matrix/matrixnormalize.m new file mode 100644 index 0000000..07e187c --- /dev/null +++ b/matlab/external/gptoolbox/matrix/matrixnormalize.m @@ -0,0 +1,25 @@ +function N = matrixnormalize(M) + % MATRIXNORMALIZE Normalize matrix values to be between the range 0 and 1. + % Current just works with matrices of type double. + % + % N = matrixnormalize(M) + % + % Inputs: + % M original input matrix + % Output: + % N normalized matrix + % + % Example: + % imshow(matrixnormalize(im)) + % % Equivalent to + % imshow(im,[]) + % + switch class(M) + case {'double','single'} + N = (M-min(M(:)))./(max(M(:))-min(M(:))); + case 'uint8' + N = (M-min(M(:)))*(255/double((max(M(:))-min(M(:))))); + otherwise + error('Class not supported'); + end +end diff --git a/matlab/external/gptoolbox/matrix/maxnz.m b/matlab/external/gptoolbox/matrix/maxnz.m new file mode 100644 index 0000000..3db9b92 --- /dev/null +++ b/matlab/external/gptoolbox/matrix/maxnz.m @@ -0,0 +1,26 @@ +function [Y,I] = maxnz(X) + % MAXNZ find maximum nonzero entry in columns of X + % + % [Y,I] = maxnz(X) + % + % Inputs: + % X m by n sparse matrix + % Outputs + % Y n list of maximum non zero entries in each column of X + % I n list of row indices to maximum non-zero entries in each column of X + % + % See also: min, max, minnz + % + + [XI,XJ,XV] = find(X); + X_i = sparse(XI,XJ,XV.^-1,size(X,1),size(X,2)); + [minX_i,minI_i] = min(X_i); + [maxX,maxI] = max(X); + minX_i(minX_i==0) = -inf; + maxX(maxX==0) = -inf; + Y = [minX_i.^-1;maxX]; + [Y,J] = max(Y); + I = [minI_i;maxI]; + I = I(sub2ind(size(I),J,1:size(I,2))); +end + diff --git a/matlab/external/gptoolbox/matrix/merl_quadprog.m b/matlab/external/gptoolbox/matrix/merl_quadprog.m new file mode 100644 index 0000000..8e7cd72 --- /dev/null +++ b/matlab/external/gptoolbox/matrix/merl_quadprog.m @@ -0,0 +1,79 @@ +function x = merl_quadprog(varargin) + % MERL_QUADPROG Optimize problems of the form: + % + % min_x 1/2 x' Q x - x' h + % + % s.t. x>=0 + % + % According to the method described in "PARALLEL QUADRATIC PROGRAMMING FOR + % IMAGE PROCESSING" [Brand & Chen 11] + % + % x = merl_quadprog(Q,h,'ParamterName',ParameterValue) + % + % Inputs: + % Q n by n symmetric positive semi-definite quadratic coefficients matrix + % h n by 1 linear coefficents vector (note sign) + % Outputs: + % x n by 1 solution vector + % + % + + Q = varargin{1}; + h = varargin{2}; + + n = size(Q,1); + assert(size(Q,2) == n); + assert(numel(h) == n); + h = h(:); + + max_iter = inf; + tol = 1e-7; + + % initial guess + x0 = ones(n,1); + + v = 3; + while v <= numel(varargin) + switch varargin{v} + case 'X0' + assert((v+1)<=numel(varargin)); + v = v+1; + x0 = varargin{v}; + otherwise + error(['Unknown parameter: ' varargin{v}]); + end + v = v+1; + end + + %% "some r ∈ R^n ≥ 0" + %r = sparse(n,1); + % ri = max(Qii , ∑ j Q−i j ) + r = max(diag(Q),max(-Q,[],2)); + + % "similarly" ... "si>0" + s = ones(n,1); + + Qp = max(Q,0) + diag(r); + Qm = max(-Q,0) + diag(r); + assert(issparse(Qp)); + hp = max(h,0) + s; + hm = max(-h,0) + s; + + x = x0; + it = 0; + while true + x_prev = x; + x = x.*(hp+Qm*x)./(hm+Qp*x); + it = it + 1; + diff = max(abs(x-x_prev)); + %fprintf('%d: %g\n',it,diff); + if it >= max_iter + return; + end + if diff<=tol + return; + end + end + + +end diff --git a/matlab/external/gptoolbox/matrix/min_quad_with_fixed.m b/matlab/external/gptoolbox/matrix/min_quad_with_fixed.m new file mode 100644 index 0000000..41f301d --- /dev/null +++ b/matlab/external/gptoolbox/matrix/min_quad_with_fixed.m @@ -0,0 +1,446 @@ +function [Z,F,Lambda,Lambda_known] = min_quad_with_fixed(A,B,known,Y,Aeq,Beq,F) + % MIN_QUAD_WITH_FIXED Minimize quadratic energy Z'*A*Z + Z'*B + C with + % constraints that Z(known) = Y, optionally also subject to the constraints + % Aeq*Z = Beq + % http://www.alecjacobson.com/weblog/?p=1913 + % http://www.alecjacobson.com/weblog/?p=2491 + % + % [Z,F] = min_quad_with_fixed(A,B,known,Y) + % [Z,F,Lambda,Lambda_known] = min_quad_with_fixed(A,B,known,Y,Aeq,Beq,F) + % + % Inputs: + % A n by n matrix of quadratic coefficients + % B n by 1 column of linear coefficients, if empty then assumed B = 0 + % known #known list of indices to known rows in Z + % Y #known by cols list of fixed values corresponding to known rows in Z + % Optional: + % Aeq m by n list of linear equality constraint coefficients + % Beq m by 1 list of linear equality constraint constant values, if + % empty then assumed Beq = 0 + % F see output + % Outputs: + % Z n by cols solution + % Optional: + % F struct containing all information necessary to solve a prefactored + % system touching only B, Y, and optionally Beq + % Lambda m list of values of lagrange multipliers corresponding to each + % row in Aeq + % Lambda_known m list of values of lagrange multipliers corresponding to each + % known value + % + % Troubleshooting: + % 'Warning: Matrix is singular to working precision' A number of things can + % cause this to happen: + % (1) Your system matrix A after removing knowns is not full rank, check + % condest of A and rank of A + % (2) Some constraints in Aeq are linearly dependent (after removing + % known values), check SVD of Aeq + % "My hessian should be symmetric, positive definite but I see that lu is + % being used". Check (1) and (2) above, and: + % (3) be sure you giving A and not accidentally -A, which would be + % negative definite. + % "My constraints are not satisfied. That is, some abs(Aeq * Z - Beq) are + % not zero." In the output, check F.Aeq_li. If this is false then + % according to QR decomposition your constraints are linearly dependent. + % Check that your constraints are not conflicting. Redundant or linearly + % dependent constraints **equations** (including rhs) should be OK, but + % linearly dependent rows in Aeq with mismatching rows in Beq mean + % there's a conflict. + % + % + % + % Example: + % % one-linear to use pcg with same prototype: + % min_quad_with_fixed_pcg = @(A,B,known,Y,tol,iter,fun) ... + % full(sparse( ... + % [setdiff((1:size(A,1))',known(:));known(:)],1, ... + % [pcg( ... + % A(setdiff(1:end,known),setdiff(1:end,known)), ... + % -(A(setdiff(1:end,known),known) * Y) - ... + % 0.5*B(setdiff(1:end,known)),tol,iter);bc])); + + % Implementation details: + % minimize x'Ax + x'B + % subject to Aeq x = Beq + % + % This is the same as: + % find the saddle point of x'Ax + x'B + lambda' * (Aeq * x - Beq) + % where lambda is a vector of lagrange multipliers, one for each of the + % constraints (rows in Aeq) + % + % Then we rewrite this, combining x and lambda: + % [x; lambda]' * [A Aeq';Aeq Z] * [x; lambda] + [x; lambda]' * [B; -2*Beq] + % + % Notice the -2 because lamba' * Aeq * x shows up twice in the quadratic part. + % Then I can differentiate with respect to [x; lambda] and we get: + % 2*[A Aeq';Aeq Z] * [x; lambda] + [B; -2*Beq] + + % Setting that to zero and moving the knowns to the right hand side we get: + % [A Aeq';Aeq Z] * [x; lambda] = -0.5 * [B; -2*Beq] + + if nargin < 4 + Y = []; + known = []; + end + if nargin < 6 + Aeq = []; + Beq = []; + end + % treat empty Beq as column of zeros to match Aeq + if isempty(Beq) + Beq = zeros(size(Aeq,1),1); + end + if nargin < 7 + F = []; + end + + if isempty(F) || ~isfield(F,'precomputed') || F.precomputed == false +% if ~isempty(F) +% warning('Precomputing'); +% end + F = precompute(A,known,Aeq,F); + end + [Z,Lambda,Lambda_known] = solve(F,B,Y,Beq); + + % !!SHOULD REMOVE F AS INPUT PARAM!! + function F = precompute(A,known,Aeq,F) + % PRECOMPUTE perform any necessary precomputation of system including + % factorization and preparation of right-hand side + % + % F = precompute(A,known,Aeq) + % + % Inputs: + % A n by n matrix of quadratic coefficients + % known #known list of indices to known rows in Z + % Optional: + % Aeq m by n list of linear equality constraint coefficients + % Outputs: + % F struct containing all information necessary to solve a prefactored + % system touching only B, Y, and optionally Beq + + % number of rows + n = size(A,1); + % cache problem size + F.n = n; + + if isempty(Aeq) + Aeq = zeros(0,n); + end + + assert(size(A,1) == n, ... + 'Rows of system matrix (%d) != problem size (%d)',size(A,1),n); + assert(size(A,2) == n, ... + 'Columns of system matrix (%d) != problem size (%d)',size(A,2),n); + assert(isempty(known) || min(size(known))==1, ... + 'known indices (size: %d %d) not a 1D list',size(known)); + assert(isempty(known) || min(known) >= 1, ... + 'known indices (%d) < 1',min(known)); + assert(isempty(known) || max(known) <= n, ... + 'known indices (%d) > problem size (%d)',max(known),n); + assert(n == size(Aeq,2), ... + 'Columns of linear constraints (%d) != problem size (%d)',size(Aeq,2),n); + + % cache known + F.known = known; + % get list of unknown variables including lagrange multipliers + F.unknown = find(~sparse(1,known,true,1,n)); + + Auu = A(F.unknown,F.unknown); + % note that columns are in *original* order + F.Ak = A(F.known,:); + + + % determine if A(unknown,unknown) is symmetric and/or postive definite + sym_measure = max(max(abs(Auu - Auu')))/max(max(abs(Auu))); + %sym_measure = normest(Auu-Auu')./normest(Auu); + if sym_measure > eps + % not very symmetric + F.Auu_sym = false; + elseif sym_measure > 0 + % nearly symmetric but not perfectly + F.Auu_sym = true; + else + % Either Auu is empty or sym_measure should be perfect + assert(isempty(sym_measure) || sym_measure == 0,'not symmetric'); + % Perfectly symmetric + F.Auu_sym = true; + end + + % check if there are blank constraints + F.blank_eq = ~any(Aeq(:,F.unknown),2); + if any(F.blank_eq) + warning('min_quad_with_fixed:blank_eq', [ ... + 'Removing blank constraints. ' ... + 'You ought to verify that known values satisfy contsraints']); + Aeq = Aeq(~F.blank_eq,:); + end + % number of linear equality constraints + neq = size(Aeq,1); + %assert(neq <= n,'Number of constraints (%d) > problem size (%d)',neq,n); + + % Determine if positive definite (also compute cholesky decomposition if it + % is as a side effect) + F.Auu_pd = false; + if F.Auu_sym && neq == 0 + % F.S'*Auu*F.S = F.L*F.L' + if issparse(Auu) + [F.L,p,F.S] = chol(Auu,'lower'); + else + [F.L,p] = chol(Auu,'lower'); + F.S = eye(size(F.L)); + end + F.Auu_pd = p==0; + end + + % keep track of whether original A was sparse + A_sparse = issparse(A); + + % Determine number of linearly independent constraints + if neq > 0 && ~(isfield(F,'force_Aeq_li') && ~isempty(F.force_Aeq_li)&& F.force_Aeq_li) + %tic; + % Null space substitution with QR + [AeqTQ,AeqTR,AeqTE] = qr(Aeq(:,F.unknown)'); + nc = find(any(AeqTR,2),1,'last'); + if isempty(nc) + nc = 0; + end + %fprintf('QR: %g secs\n',toc); + assert(nc<=neq); + F.Aeq_li = nc == neq; + else + F.Aeq_li = true; + end + if neq > 0 && isfield(F,'force_Aeq_li') && ~isempty(F.force_Aeq_li) + F.Aeq_li = F.force_Aeq_li; + end + + % Use raw Lagrange Multiplier method only if rows of Aeq are Linearly + % Independent + if F.Aeq_li + % get list of lagrange multiplier indices + F.lagrange = n+(1:neq); + if neq > 0 + if issparse(A) && ~issparse(Aeq) + warning('min_quad_with_fixed:sparse_system_dense_constraints', ... + 'System is sparse but constraints are not, solve will be dense'); + end + if issparse(Aeq) && ~issparse(A) + warning('min_quad_with_fixed:dense_system_sparse_constraints', ... + 'Constraints are sparse but system is not, solve will be dense'); + end + Z = sparse(neq,neq); + % append lagrange multiplier quadratic terms + A = [A Aeq';Aeq Z]; + %assert(~issparse(Aeq) || A_sparse == issparse(A)); + end + % precompute RHS builders + F.preY = A([F.unknown F.lagrange],known) + ... + A(known,[F.unknown F.lagrange])'; + + % LDL has a different solve prototype + F.ldl = false; + % create factorization + if F.Auu_sym + if neq == 0 && F.Auu_pd + % we already have F.L + F.U = F.L'; + F.P = F.S'; + F.Q = F.S; + else + % LDL is faster than LU for moderate #constraints < #unknowns + NA = A([F.unknown F.lagrange],[F.unknown F.lagrange]); + assert(issparse(NA)); + [F.L,F.D,F.P,F.S] = ldl(NA); + F.ldl = true; + end + else + NA = A([F.unknown F.lagrange],[F.unknown F.lagrange]); + % LU factorization of NA + if issparse(NA) + [F.L,F.U,F.P,F.Q] = lu(NA); + else + [F.L,F.U] = lu(NA); + F.P = 1; + F.Q = 1; + end + end + else + % We alread have CTQ,CTR,CTE + %tic; + % Aeq' * AeqTE = AeqTQ * AeqTR + % AeqTE' * Aeq = AeqTR' * AeqTQ' + % Aeq x = Beq + % Aeq (Q2 lambda + lambda_0) = Beq + % we know Aeq Q2 = 0 --> Aeq Q2 lambda = 0 + % Aeq lambda_0 = Beq + % AeqTE' * Aeq lambda_0 = AeqTE' * Beq + % AeqTR' * AeqTQ' lambda_0 = AeqTE' * Beq + % AeqTQ' lambda_0 = AeqTR' \ (AeqTE' * Beq) + % lambda_0 = AeqTQ * (AeqTR' \ (AeqTE' * Beq)) + % lambda_0 = Aeq \ Beq; + % lambda_0 = AeqTQ * (AeqTR' \ (AeqTE' * Beq)); + AeqTQ1 = AeqTQ(:,1:nc); + AeqTR1 = AeqTR(1:nc,:); + %lambda_0 = [AeqTQ1 * (AeqTR1' \ (AeqTE' * Beq))]; + %fprintf('lambda_0: %g secs\n',toc); + %tic; + % Substitute x = Q2 lambda + lambda_0 + % min 0.5 x' A x - x' b + % results in A x = b + % min 0.5 (Q2 lambda + lambda_0)' A (Q2 lambda + lambda_0) - (Q2 lambda + lambda_0)' b + % min 0.5 lambda' Q2' A Q2 lambda + lambda Q2' A lambda_0 - lambda Q2' b + % results in Q2' A Q2 lambda = - Q2' A lambda_0 + Q2' b + AeqTQ2 = AeqTQ(:,(nc+1):end); + QRAuu = AeqTQ2' * Auu * AeqTQ2; + %QRb = -AeqTQ2' * Auu * lambda_0 + AeqTQ2' * b; + % precompute RHS builders + F.preY = A(F.unknown,known) + A(known,F.unknown)'; + %fprintf('Proj: %g secs\n',toc); + %tic; + % QRA seems to be PSD + [F.L,p,F.S] = chol(QRAuu,'lower'); + F.U = F.L'; + F.P = F.S'; + F.Q = F.S; + %fprintf('Chol: %g secs\n',toc); + % Perhaps if Auu is not PD then we need to use LDL... + assert(p==0); + % WHICH OF THESE ARE REALLY NECESSARY? + F.Aeq = Aeq; + F.AeqTQ2 = AeqTQ2; + F.AeqTQ1 = AeqTQ1; + F.AeqTR1 = AeqTR1; + F.AeqTE = AeqTE; + F.Auu = Auu; + end + F.precomputed = true; + end + + function [Z,Lambda,Lambda_known] = solve(F,B,Y,Beq) + % SOLVE perform solve using precomputation and parameters for building + % right-hand side that are allowed to change without changing precomputation + % + % Z = solve(F,B,Y,Beq) + % + % Inputs: + % F struct containing all information necessary to solve a prefactored + % system touching only B, Y, and optionally Beq + % B n by 1 column of linear coefficients + % Y #known by cols list of fixed values corresponding to known rows in Z + % Optional: + % Beq m by 1 list of linear equality constraint constant values + % Outputs: + % Z n by cols solution + % Lambda m by cols list of lagrange multiplier *values* + % Lambda_known #known by cols list of lagrange multiplier *values* for + % known variables + % + + % number of known rows + kr = numel(F.known); + if kr == 0 + assert(isempty(Y),'Known values should not be empty'); + % force Y to have 1 column even if empty + if size(Y,2) == 0 + Y = zeros(0,1); + end + end + assert(kr == size(Y,1), ... + 'Number of knowns (%d) != rows in known values (%d)',kr, size(Y,1)); + if isempty(Y) + % use linear coefficients to determine cols + if isempty(B) + if isempty(Beq) + cols = 1; + Beq = zeros(0,cols); + else + cols = size(Beq,2); + end + B = zeros(F.n,cols); + else + cols = size(B,2); + end + Y = zeros(0,cols); + else + cols = size(Y,2); + if isempty(B) + B = zeros(F.n,cols); + end + end + + if any(F.blank_eq) + Beq = Beq(~F.blank_eq,:); + end + + + % Build system's rhs + if F.Aeq_li + % number of lagrange multipliers aka linear equality constraints + neq = numel(F.lagrange); + if neq == 0 + assert(isempty(Beq),'Constraint right-hand sides should not be empty'); + Beq = zeros(0,1); + end + + NB = ... + bsxfun(@plus, ... + bsxfun(@plus, ... + F.preY * Y, ... + [B(F.unknown,:); zeros(numel(F.lagrange),size(B,2))]), ... + [zeros(numel(F.unknown),size(Beq,2)); -2*Beq(F.lagrange-F.n,:)]); + + + % prepare solution + Z = zeros(F.n+neq,cols); + Z(F.known,:) = Y; + + if F.ldl + Z([F.unknown F.lagrange],:) = ... + -0.5 * F.S * (F.P * (F.L'\(F.D\(F.L\(F.P' * (F.S * NB)))))); + else + Z([F.unknown F.lagrange],:) = -0.5 * F.Q * (F.U \ (F.L \ ( F.P * NB))); + end + + % fix any removed constraints (set Lambda to 0) + Lambda = zeros(numel(F.blank_eq),cols); + if neq ~= 0 + % save lagrange multipliers + Lambda(~F.blank_eq,:) = Z(F.lagrange,:); + % throw away lagrange multipliers + Z = Z(1:(end-neq),:); + end + else + % Adjust Aeq rhs to include known parts + Beq = -F.Aeq(:,known)*Y + Beq; + % Where did this -0.5 come from? Probably the same place as above. + NB = -0.5*(B(F.unknown,:) + F.preY * Y); + eff_Beq = F.AeqTE' * Beq; + % can't solve rectangular system: trim (expects that constraints are not + % contradictory) + AeqTR1T = F.AeqTR1'; + AeqTR1T = AeqTR1T(1:size(F.AeqTQ1,2),1:size(F.AeqTQ1,2)); + eff_Beq = eff_Beq(1:size(F.AeqTQ1,2)); + lambda_0 = F.AeqTQ1 * (AeqTR1T \ eff_Beq); + QRB = -F.AeqTQ2' * (F.Auu * lambda_0) + F.AeqTQ2' * NB; + lambda = F.Q * (F.U \ (F.L \ ( F.P * QRB))); + % prepare solution + Z = zeros(F.n,cols); + Z(F.known,:) = Y; + Z(F.unknown) = F.AeqTQ2 * lambda + lambda_0; + Aequ = F.Aeq(:,F.unknown); + % http://www.math.uh.edu/~rohop/fall_06/Chapter3.pdf + %Lambda = (F.AeqTQ1' * Aequ') \ (F.AeqTQ1' * NB - F.AeqTQ1' * F.Auu * Z(F.unknown)); + % Can't solve rectangular system + %Lambda = F.AeqTE * (F.AeqTR1 \ (F.AeqTQ1' * NB - F.AeqTQ1' * F.Auu * Z(F.unknown))); + % TRIM: (other linearly dependent constraints get 0s?) + Lambda = F.AeqTE * [ ... + (F.AeqTR1(:,1:size(F.AeqTR1,1)) \ ... + (F.AeqTQ1' * NB - F.AeqTQ1' * F.Auu * Z(F.unknown))); ... + zeros(size(F.AeqTE,2)-size(F.AeqTR1,1),1) + ]; + end + + Lambda_known = -bsxfun(@plus,F.Ak * Z,0.5*B(F.known,:)); + end + +end diff --git a/matlab/external/gptoolbox/matrix/min_quad_with_fixed_active_set.m b/matlab/external/gptoolbox/matrix/min_quad_with_fixed_active_set.m new file mode 100644 index 0000000..c47c1c9 --- /dev/null +++ b/matlab/external/gptoolbox/matrix/min_quad_with_fixed_active_set.m @@ -0,0 +1,344 @@ +function [Z,F,Lambda] = min_quad_with_fixed_active_set( ... + A,B,known,Y,Aeq,Beq,Aieq,Bieq,lx,ux,F,varargin) + % MIN_QUAD_WITH_FIXED_ACTIVE_SET Minimize quadratic energy Z'*A*Z + Z'*B + C + % with constraints that Z(known) = Y, optionally also subject to the + % constraints Aeq*Z = Beq, and further optionally subject to the linear + % inequality constraints that Aieq*Z <= Bieq and constant inequality + % constraints lx <= x <= ux + % + % [Z] = min_quad_with_fixed_active_set(A,B,known,Y,Aeq,Beq,Aeiq,Beiq,lx,ux) + % [Z,F,Lambda] = ... + % min_quad_with_fixed_active_set(A,B,known,Y,Aeq,Beq,Aeiq,Beiq,lx,ux,F) + % + % Inputs: + % A n by n matrix of quadratic coefficients + % B n by 1 column of linear coefficients + % known #known list of indices to known rows in Z + % Y #known by cols list of fixed values corresponding to known rows in Z + % Optional: + % Aeq meq by n list of linear equality constraint coefficients + % Beq meq by 1 list of linear equality constraint constant values + % Aieq mieq by n list of linear inequality constraint coefficients + % Bieq mieq by 1 list of linear inequality constraint constant values + % lx n by 1 list of lower bounds [] implies -Inf + % ux n by 1 list of upper bounds [] implies Inf + % F see output + % 'Quiet' followed by whether to suppress output + % 'MaxIter' followed by maximum number of iterations {100} + % 'ActiveThreshold' followed by threshold to determine whether constraint + % needs to be activated (smaller and negative means more + % agressive, larger means more lenient) {+eps} + % 'InactiveThreshold' followed by threshold to determine whether + % constraint should stay active. Smaller and negative means constraints + % are "stickier", larger means constraints flicker more {+eps} + % 'StopThreshold' followed by threshodl to determine whether no more + % progress is being made based on difference between iterations' + % solutions. + % Outputs: + % Z n by cols solution + % Optional: + % F struct containing all information necessary to solve a prefactored + % system touching only B, Y, and optionally Beq, Bieq + % + % Examples: + % qZ = quadprog( ... + % 2*A,B,Aieq,Bieq, ... + % [Aeq;sparse(1:numel(known),known,1,numel(known),size(A,2))], ... + % [Beq;Y],lx,ux); + % + % % bbw works well with 'InactiveThreshold',-1e-9,'ActiveThreshold',0 + % + + %A = varargin{1}; + %B = varargin{2}; + %known = varargin{3}; + %Y = varargin{4}; + %Aeq = []; + %Beq = []; + %Aieq = []; + %Bieq = []; + %lx = []; + %ux = []; + %F = []; + %if nargin >= 6 + % Aeq = varargin{5}; + % Beq = varargin{6}; + %end + + %if nargin >= 8 + % Aieq = varargin{7}; + % Bieq = varargin{8}; + %end + + %if nargin >= 10 + % lx = varargin{9}; + % ux = varargin{10}; + %end + + %if nargin >= 11 + % F = varargin{11}; + %end + + %if isempty(F) + % F.Z0 = []; + % F.as_ieq = []; + % F.as_lx = []; + % F.as_ux = []; + %end + if ~exist('F','var') + F = []; + end + if ~isfield(F,'Z0') + F.Z0= []; + end + if ~isfield(F,'as_ieq') + F.as_ieq = []; + end + if ~isfield(F,'as_lx') + F.as_lx= []; + end + if ~isfield(F,'as_ux') + F.as_ux= []; + end + max_iter = 100; + inactive_threshold = eps; + stop_threshold = eps; + active_threshold = eps; + quiet = false; + + % solve equality problem + force_Aeq_li = []; + + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Quiet','MaxIter','ForceAeqLI','InactiveThreshold','StopThreshold','ActiveThreshold'}, ... + {'quiet','max_iter','force_Aeq_li','inactive_threshold','stop_threshold','active_threshold'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + + % number of rows + n = size(A,1); + % number of cols + if isempty(Y) + cols = 1; + else + cols = size(Y,2); + assert(cols == 1); + end + + if numel(lx) == 1 + lx = lx*ones(n,1); + end + + if numel(ux) == 1 + ux = ux*ones(n,1); + end + + if isempty(lx) + lx = -Inf*ones(n,1); + end + + if isempty(ux) + ux = Inf*ones(n,1); + end + + if isempty(Aieq) && isempty(lx) && isempty(ux) + warning('No inequality constraints found. Call min_quad_with_fixed directly'); + end + + % Convert constant bound constraints into linear constraints before adding + % them to the active set. Slower, but upp left corner of system matrix stays + % the same so potentially there's room for optimization + treat_constant_bound_as_linear_constraints = false; + if treat_constant_bound_as_linear_constraints + % Lower bound constraints as linear constraints, notice revert sign since + % the <= has become a >= + LX = -speye(n,n); + % Upper bound constraints as linear constraints + UX = speye(n,n); + end + + assert(all(lx<=ux)); + + old_Z = Inf*ones(n,cols); + %Z = -Inf(n,cols); + Z = F.Z0; + old_Z = -Inf(n,cols); + + F.iter = 1; + % repeat until satisfied + while true + %fprintf('iter: %d\n',F.iter); + %tic; + + if ~isempty(Z) + % Append constraints for infeasible values + new_as_lx = find((Z-lx)<-active_threshold); + new_as_ux = find((Z-ux)>active_threshold); + new_as_ieq = []; + if ~isempty(Aieq) + new_as_ieq = find((Aieq*Z-Bieq)>active_threshold); + end + + %fprintf('%0.17f %d %d %g\n', ... + % energy(Z),numel(new_as_lx), numel(new_as_ux),max(max(lx-Z,Z-ux))); + diff = sum((old_Z(:)-Z(:)).^2); + %fprintf('diff: %g\n',diff); + if diff < stop_threshold + if numel(new_as_lx) > 0 || numel(new_as_ux) > 0 + % Indeed this is "disturbing" at first glance. Why should there be + % new constraints? Turns out these "last constraints" are only + % producing numerical noise. The can safely be caught and ignored by + % setting active_threshold to eps rather than 0 + %warning( ... + % sprintf('Diff (%g) < threshold (%g) but new constraints (%d)', ... + % diff,threshold,numel(new_as_lx)+numel(new_as_ux))); + end + break; + end + % keep track of last solution + old_Z = Z; + + %% only add k worst offenders + %min_k = 1; + %[~,ii] = sort(Z(new_as_lx),'ascend'); + %k = max(min_k,ceil(numel(new_as_lx)*0.05)); + %new_as_lx = new_as_lx(ii(1:min(end,k))); + %[~,ii] = sort(Z(new_as_ux),'descend'); + %k = max(min_k,ceil(numel(new_as_ux)*0.05)); + %new_as_ux = new_as_ux(ii(1:min(end,k))); + + F.as_lx = [F.as_lx(:); new_as_lx]; + F.as_ux = [F.as_ux(:); new_as_ux]; + F.as_ieq = [F.as_ieq(:); new_as_ieq]; + % get rid of duplicates + %F.as_lx = setdiff(unique(F.as_lx),known); + %F.as_ux = setdiff(unique(F.as_ux),known); + F.as_lx = unique(F.as_lx); + F.as_ux = unique(F.as_ux); + F.as_ieq = unique(F.as_ieq); + F.as_lx = setdiff(F.as_lx,known); + F.as_ux = setdiff(F.as_ux,known); + end + + %fprintf('E before: %0.20f\n',energy(Z)); + if treat_constant_bound_as_linear_constraints + % we need values of the lagrange multipliers for all inequality constraints + % including bounds, so append all active set constraints as linear equality + % constraints + Aeq_i = [Aeq;LX(F.as_lx,:);UX(F.as_ux,:);Aieq(F.as_ieq,:)]; + Beq_i = [Beq;lx(F.as_lx) ;ux(F.as_ux) ; Bieq(F.as_ieq)]; + % solve equality problem + [Z,mqwf,Lambda] = min_quad_with_fixed(A,B,known,Y,Aeq_i,Beq_i); + % look at lagrange multipliers of active set, remove some which are + % negative + Lambda_lx = Lambda(size(Aeq,1) + (1:numel(F.as_lx))); + Lambda_ux = ... + Lambda(size(Aeq,1) + numel(F.as_lx) + (1:numel(F.as_ux))); + Lambda_ieq = ... + Lambda( ... + size(Aeq,1) + numel(F.as_lx) + numel(F.as_ux) + ... + (1:numel(F.as_ieq))); + else + % append active set constant bounds as known/fixed values + known_i = [known(:);F.as_lx(:);F.as_ux(:)]; + Y_i = [Y;lx(F.as_lx);ux(F.as_ux)]; + % append active set linear inequality constraints as *equality* constraints + Aeq_i = [Aeq;Aieq(F.as_ieq,:)]; + Beq_i = [Beq;Bieq(F.as_ieq)]; + [Z,~,Lambda,Lambda_known] = min_quad_with_fixed(A,B,known_i,Y_i,Aeq_i,Beq_i,struct('force_Aeq_li',force_Aeq_li)); + %[Z,~,Lambda,Lambda_known] = min_quad_with_fixed(A,B,known_i,Y_i,Aeq_i,Beq_i,struct('force_Aeq_li',true)); + %[Z_qr,~,Lambda_qr,Lambda_known] = min_quad_with_fixed(A,B,known_i,Y_i,Aeq_i,Beq_i,struct('force_Aeq_li',false)); + %save('bad.mat','A','B','known_i','Y_i','Aeq_i','Beq_i'); + %fprintf('Z: %g Lambda: %g\n', ... + % max(max(abs(Z-Z_qr))), ... + % max(max(abs(Lambda-Lambda_qr)))); + % input(''); + + % Lower bound lambda values need to be reversed because constraints + % always represent <= + Lambda_lx = -Lambda_known(numel(known) + (1:numel(F.as_lx))); + Lambda_ux = ... + Lambda_known(numel(known) + numel(F.as_lx) + ... + (1:numel(F.as_ux))); + Lambda_ieq = Lambda(size(Aeq,1) + (1:numel(F.as_ieq))); + end + %fprintf('E after: %0.20f\n',energy(Z)); + + %Lambda_lx + %Lambda_ux + + %if F.iter == 2 + % return + %end + + + if isfield(F,'im') || isfield(F,'t') + AS = 0.5*ones(n,1); + AS(F.as_lx) = 0; + AS(F.as_ux) = 1; + newAS = 0.5*ones(n,1); + newAS(F.as_lx(Lambda_lx > inactive_threshold)) = 0; + newAS(F.as_ux(Lambda_ux > inactive_threshold)) = 1; + if isfield(F,'t') + set(F.t,'FaceVertexCData',[AS newAS zeros(n,1)]); + %set(F.t,'CData',log10(abs(Z))); + colorbar; + end + if isfield(F,'im') + h = size(get(F.im,'CData'),1); + w = size(get(F.im,'CData'),2); + set(F.im,'CData', ... + cat(3,reshape(AS,[h w]),reshape(newAS,[h w]),zeros([h w 1])) ... + ); + end + drawnow; + %if F.iter ==1 + %input(''); + %end + end + + + F.as_lx = F.as_lx(Lambda_lx > inactive_threshold); + F.as_ux = F.as_ux(Lambda_ux > inactive_threshold); + F.as_ieq = F.as_ieq(Lambda_ieq > inactive_threshold); + + if F.iter == max_iter + if ~quiet + warning( ... + sprintf('Max iterations %d reached without convergence',max_iter)); + end + break + end + F.iter = F.iter + 1; + %toc; + end + + function E = energy(ZZ) + if isempty(ZZ) + E = inf; + return; + end + projZ = ZZ; + projZ(ZZ>ux) = ux(ZZ>ux); + projZ(ZZ <# + % rows>, then values with columns running faster + % + % [W] = readDMAT(filename) + % + % Input: + % filename name of .dmat file + % Output: + % W matrix read from file + % + % See also: writeDMAT + % + + % open file + fp = fopen(filename,'r'); + % read header + size_W = fliplr(fscanf(fp,'%d %d',[1 2])); + % read data + W = fscanf(fp,'%g',size_W); + + if ~feof(fp) + [size_B,c_B] = fscanf(fp,'%d %d',[1 2]); + size_B = fliplr(size_B); + if c_B==2 + assert(~any(size_W)); + assert(isempty(W)); + % Finish reading header: read '\n' char + [lf,nlf] = fread(fp,1,'char*1'); + assert(nlf==1); + assert(lf==int8(sprintf('\n'))); + % We're reading binary then + size_W = size_B; + [W,cW] = fread(fp,prod(size_W),'*double'); + assert(cW == prod(size_W)); + W = reshape(W,size_W); + end + end + + % close file + fclose(fp); + + % size should match header + if(~all(size_W == size(W))) + error('Size in header did not match size of data in file'); + end + +end diff --git a/matlab/external/gptoolbox/matrix/repdiag.m b/matlab/external/gptoolbox/matrix/repdiag.m new file mode 100644 index 0000000..6f8341c --- /dev/null +++ b/matlab/external/gptoolbox/matrix/repdiag.m @@ -0,0 +1,50 @@ +function B = repdiag(A,d) + % REPDIAG repeat a matrix along the diagonal a certain number of times, so + % that if A is a m by n matrix and we want to repeat along the diagonal d + % times, we get a m*d by n*d matrix B such that: + % B( (k*m+1):(k*m+1+m-1), (k*n+1):(k*n+1+n-1)) = A + % for k from 0 to d-1 + % + % B = repdiag(A,d) + % + % Inputs: + % A m by n matrix we are repeating along the diagonal. May be dense or + % sparse + % d number of times to repeat A along the diagonal + % Outputs: + % B m*d by n*d matrix with A repeated d times along the diagonal, + % will be dense or sparse to match A + % + % See also: kroneye + % + + %m = size(A,1); + %n = size(A,2); + %if(issparse(A)) + % [I,J,V] = find(A); + % BI = I; + % BJ = J; + % BV = V; + % for k = 2:d + % BI = [BI (k-1)*m+I]; + % BJ = [BJ (k-1)*n+J]; + % BV = [BV V]; + % end + % B = sparse(BI,BJ,BV,m*d,n*d); + %else + % B = zeros(m*d,n*d); + % for k = 0:(d-1) + % B( (k*m+1):(k*m+1+m-1), (k*n+1):(k*n+1+n-1)) = A; + % end + %end + + % http://www.physicsforums.com/showthread.php?t=77645 + % Also slow: + % B = kron(speye(d),A); + % 10x faster than for loop IJV + C = cell(d,1); + [C{:}] = deal(A); + B = blkdiag(C{:}); + + +end diff --git a/matlab/external/gptoolbox/matrix/repdiag_matrix.m b/matlab/external/gptoolbox/matrix/repdiag_matrix.m new file mode 100644 index 0000000..239aa6d --- /dev/null +++ b/matlab/external/gptoolbox/matrix/repdiag_matrix.m @@ -0,0 +1,164 @@ +classdef repdiag_matrix + % REPDIAG_MATRIX class for storing and dealing with matrices of the type: + % M = repdiag(A); + % aka M = diag(A,A,...,A); + % aka M = kron(eye(d),A) + % aka M is a block diagonal matrix with d copies of A along the diagonal + % + % Inputs: + % A m by n matrix repeated along diagonal + % d number of copies of A along diagonal + % Output: + % this an object giving access to the repeated matrix and fields making + % typical matrix operations faster by taking advantage of repeated block + % diagonal structure + % + % See also: repdiag + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Read only class fields + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + properties(GetAccess=public,SetAccess=protected) + % the m by n matrix to be repeated + A + % the number of times A is repeated + d + end + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Private class fields + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + properties(Access=private) + end + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Public Class methods + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + methods(Access=public) + + function this = repdiag_matrix(varargin) + % See also: repdiag_matrix, repdiag + this.A = varargin{1}; + this.d = varargin{2}; + end + + function B = expand(this) + % EXPAND Computes the true matrix represented by this class (i.e. calls + % and returns repdiag(A,d) + % + B = repdiag(this.A,this.d); + end + + function C = mtimes(this,that) + % MTIMES Computes C = this * that where this and/or that is a repeated + % block diagonal matrix. + % + % Inputs: + % this n by m matrix of some form (repdiag_matrix or double) + % that m by p matrix of some form (repdiag_matrix or double) + % Outputs: + % C n by p matrix + % + % Compare to: + % C = this.expand() * that.expand(); + % C = this * that.expand(); + % C = this.expand() * that; + + if isa(this,'repdiag_matrix') && ~isa(that,'repdiag_matrix') + m = size(this.A,1); + B = that; + assert(size(this.A,2)*this.d == size(B,1)); + n = size(B,1)/this.d; + assert(n == m); + k = size(B,2); + % Apply to columns of each block (disregarding order but then + % reassembling) + BB = reshape(B,n,k*this.d); + CC = this.A*BB; + C = reshape(CC,m*this.d,k); + elseif ~isa(this,'repdiag_matrix') && isa(that,'repdiag_matrix') + %% Cheapskate + %C = (that'*this')'; + B = this; + % B * this + % k by n*d * m*d by m*d + m = size(that.A,1); + assert(size(that.A,2)*that.d == size(B,2)); + n = size(B,2)/that.d; + assert(n == m); + k = size(B,1); + % Apply to columns of each block (disregarding order but then + % reassembling) + % STILL NEED TO TRANSPOSE... Lame... + BB = reshape(B',n,k*that.d); + % BB * A + % k*d by n * n * n + CC = that.A'*BB; + C = reshape(CC,m*that.d,k)'; + else + assert(this.d == that.d, ... + 'Non-matching repdiag_matrix multiplication not supported'); + assert(all(size(this.A)==size(that.A)), ... + 'Non-matching repdiag_matrix multiplication not supported'); + C = repdiag_matrix(this.A*that.A,this.d); + end + + end + + function C = mldivide(this,B) + % MLDIVIDE Computes C = this \ B where this is a repeated block diagonal + % matrix and B is a regular old matrix + % + % Inputs: + % this d*m by d*n repeated block diagonal matrix + % B d*n by k matrix + % Outputs: + % C d*m by k matrix + % + % Compare to: + % C = A.expand() \ B; + + assert(size(this.A,2)*this.d == size(B,1)); + n = size(B,1)/this.d; + k = size(B,2); + m = size(this.A,1); + + %C = this.expand() * B; + BB = reshape(B,n,k*this.d); + CC = this.A \ BB; + C = reshape(CC,m*this.d,k); + end + + function varargout = chol(varargin) + % CHOL compute cholesky decompostion of repeated block matrix + % + % See also: chol + this = varargin{1}; + varargin{1} = this.A; + switch nargout + case 1 + [varargout{1}] = chol(varargin{:}); + case 2 + [varargout{1},varargout{2}] = chol(varargin{:}); + case 3 + [varargout{1},varargout{2},varargout{3}] = chol(varargin{:}); + otherwise + error(['Too many outputs (' num2str(nargout) ')']); + end + varargout{1} = repdiag_matrix(varargout{1},this.d); + varargout{3} = repdiag_matrix(varargout{3},this.d); + end + + function T = transpose(this) + % TRANSPOSE computes transpose of block diagonal matrix + T = repdiag_matrix(transpose(this.A),this.d); + end + + function T = ctranspose(this) + % CTRANSPOSE computes conjugate transpose of block diagonal matrix + T = repdiag_matrix(ctranspose(this.A),this.d); + end + + end + +end diff --git a/matlab/external/gptoolbox/matrix/sample_discrete.m b/matlab/external/gptoolbox/matrix/sample_discrete.m new file mode 100644 index 0000000..f6aa292 --- /dev/null +++ b/matlab/external/gptoolbox/matrix/sample_discrete.m @@ -0,0 +1,66 @@ +function [S,D,J] = sample_discrete(D,n) + % SAMPLE_DISCRETE Sample a discrete distribution given by D n times. This + % employs the "Alias Table Method". Ensuring that the running time is O(n + + % m) + % + % Inputs: + % D m list of probabilities summing to 1 + % n number of samples to output + % Outputs: + % S n list of indices into D + % D m list of alias table heights + % J m list of "upper half" reindices + % + + % Assume column vector + D = D(:); + % https://hips.seas.harvard.edu/blog/2013/03/03/the-alias-method-efficient-sampling-with-many-discrete-outcomes/ + m = numel(D); + assert(abs(sum(D) - 1)<1e-15); + % We want to sort based on above or below 1/n + D = D*m; + % now we can sort based on above or below 1 + % Below queue: http://www.alecjacobson.com/weblog/?p=3933 + % and preallocate up to 2*m (extra m to be safe, I don't think it's needed) + B = find(D<1); + Bl = numel(B); + B(end+1:2*m) = 0; + % After queue, and preallocate up to m + A = find(D>=1); + Al = numel(A); + A(end+1:m) = 0; + % Upper half list (initialize with this index because above includes "equal") + J = (1:m)'; + + % While below and above still have elements + while Bl>0 && Al>0 + % pop below + b = B(Bl); + Bl = Bl - 1; + % Look above + a = A(Al); + % a going to be b's upper half + J(b) = a; + % lob off enough to fit D(b) to 1 + %D(a) = D(a) - (1.0 - D(b)); + % Reduce rounding error (see comments above) + D(a) = (D(a) + D(b)) - 1.0; + if D(a) < 1 + % pop off above + Al = Al - 1; + % push onto below + Bl = Bl+1; + B(Bl) = a; + % else still on above + end + end + + R1 = floor(rand(n,1)*m)+1; + R2 = rand(n,1); + I = (1:m)'; + % select those that are in upper half + upper = R2>=D(R1); + S = I(R1); + S(upper) = J(R1(upper)); + +end diff --git a/matlab/external/gptoolbox/matrix/schur_complement.m b/matlab/external/gptoolbox/matrix/schur_complement.m new file mode 100644 index 0000000..58e1eb0 --- /dev/null +++ b/matlab/external/gptoolbox/matrix/schur_complement.m @@ -0,0 +1,132 @@ +function [x,y,AFUN] = schur_complement(AFUN,B,C,f,g,varargin) + % SCHUR_COMPLEMENT Solve a linear KTK system of the form: + % [A B' * [x = [f + % B C] y] g] + % using the Schur complement method as described in + % "Numerical solution of saddle point problems" [Benzi et al. 2005] + % + % [x,y] = schur_complement(A,B,C,f,g) + % [x,y] = schur_complement(AFUN,B,C,f,g) + % + % Inputs: + % A n by n square, positive definite matrix (typically quadratic + % coefficients) + % or + % AFUN function AFUN(b) solving x = A \ b + % B m by n matrix of full row rank (typically constraints) + % C m by m matrix (typically zero) + % f n list of upper right-hand side values + % g m list of lower right-hand side values + % Optional: + % 'Iterative' followed by whether to use an iterative solver rather than + % cholesky for the schur complement solve {false}. + % 'Preconditioner' followed by a preconditioner {[]} + % 'Dense' followed by whether to use a dense solver for the schur {true} + % complement solve. + % Outputs: + % x n vector of primary variable solution values + % y m vector of contraint variable solution values + % AFUN function AFUN(b) solving x = A \ b + % + + function [AFUN,p] = chol_fun(A) + [L,p,Q] = chol(A,'lower'); + % precompute transposes + U = L'; + P = Q'; + AFUN = @(b) Q * (U \ (L \ ( P * b))); + end + + function [AFUN,p] = ldl_fun(A) + [L,D,Q] = ldl(A); + % precompute transposes + U = L'; + P = Q'; + p = sum(abs(diag(D))/max(abs(diag(D)))<1e-15); + AFUN = @(b) Q * (U \ (D\(L \ ( P * b)))); + end + + if ~isa(AFUN,'function_handle') + A = AFUN; + [AFUN,p] = chol_fun(A); + if p~=0 + warning('A is not positive definite'); + % A is not positive definite, so let's try ldl + [AFUN,p] = ldl_fun(A); + if p~=0 + warning('A is probably singular'); + end + end + [x,y] = schur_complement(AFUN,B,C,f,g,varargin{:}); + return; + end + + if isempty(C) + C = sparse(size(B,1),size(B,1)); + end + + % default values + iterative = false; + dense = true; + preconditioner = []; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Iterative','Preconditioner','Dense'}, ... + {'iterative','preconditioner','dense'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + % A*x + B'*y = f + % B*x + C*y = g + % + % A*x + B'*y = f + % multiply by B*A\ + % B*A\A*x + B*A\B'*y = f + % B*x + B*A\B'*y = B*A\f + if isempty(f) + BAif = sparse(size(B,1),size(g,2)); + f = sparse(size(B,2),size(g,2)); + else + BAif = B * AFUN(f); + end + % substitute B*x = g - Cy + % g - Cy + B*A\B'*y = B*A\f + % (B*A\B' - C) *y = B*A\f - g + % + if iterative + % computes B*A\B'*y-Cy + BABTCFUN = @(y) B*(AFUN(B'*y))-C*y; + tol = 1e-14; + max_iter = 10000; + % These seem equivalent in terms of speed. But `minres` can handles + % symmetric indefinite matrices where `pcg` cannot. + %y = minres(BABTFUN,BAif-g,tol,max_iter); + y = pcg(BABTCFUN,BAif-g,tol,max_iter,preconditioner); + else + %% This is the bottleneck. Probably because A\B' is dense. + BABTC = B*AFUN(B') - C; + if dense + BABTC = full(BABTC); + end + y = BABTC\(BAif-g); + %BABTCFUN = chol_fun(BABTC); + %assert(p==0,'A is not positive definite'); + %% y = (B*A\B'-C)\(B*A\f - g) + %y = BABTCFUN(BAif - g); + end + % substitute y in top + % A*x + B'*((B*A\B')\(B*A\f - g)) = f + % x = A\(f-B'*((B*A\B')\(B*A\f - g))) + x = AFUN(f-B'*y); + +end diff --git a/matlab/external/gptoolbox/matrix/spinv.m b/matlab/external/gptoolbox/matrix/spinv.m new file mode 100644 index 0000000..0112c46 --- /dev/null +++ b/matlab/external/gptoolbox/matrix/spinv.m @@ -0,0 +1,89 @@ +function [Q,J,F,T,I,V,E] = spinv(A,varargin) + % SPINV Compute a sparse factorization of the Moore-Penrose pseudoinverse A⺠+ % of a sparse matrix A. This is useful for solving + % under-and-over-constrained systems Ax = b: where A is m by n with + % rank r < min(m,n). Then to solve the system: + % + % x = E*(V*(I'*(T'\(F'*(J'*(Q'*b)))))) + % + % Note: Store these sparse factors and sovle using the routine above **with + % parentheses**. Do not precompute A⺠as it will be dense. + % + % Inputs: + % A m by n sparse + % Optional: + % 'Epsilon' followed by epsilon used to determine rank from qr {1e-15} + % Outputs: + % Q m by m sparse orthogonal matrix + % J m by r sparse rectangular identity matrix + % F r by r sparse permutation matrix + % T r by r sparse triangular matrix (diagonal?) + % I r by n sparse rectangular identity matrix + % V n by n sparse orthogonal matrix + % E n by n sparse permutation matrix + % + % Example: + % % over and under determined system of 3 variables + % A = [1 0 0;1 0 0;0 1 1;0 1 1]; + % b = [4;5;6;7]; + % % Compute facotrization of sparse pseudo inverse + % [Q,J,F,T,I,V,E] = spinv(A); + % % Compute minimum norm best fit + % xs = E*(V*(I'*(T'\(F'*(J'*(Q'*b)))))); + % % Compare to Tikhonov regularization + % xt = (A'*A+1e-10*speye(3,3))\(A'*b); + % + + % default values + epsilon = 1e-15; + % Map of parameter names to variable names + params_to_variables = containers.Map( {'Epsilon'}, {'epsilon'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + % http://www.irisa.fr/sage/wg-statlin/WORKSHOPS/LEMASSOL05/SLIDES/QR/Guyomarch.pdf + + % dimensions of A + m = size(A,1); + n = size(A,2); + % QR factorization of AE + [Q,R,E] = qr(A); + % We have that: + % AE = QR + % rank + r = find(any(abs(R)>epsilon,2),1,'last'); + % Only keep upper, non-zero block + R1R2 = R(1:r,:); + J = speye(m,r); + % We have that: + % AE = Q*J*R1R2 + % QR factorization of R1R2' + [V,Tfull,F] = qr(R1R2'); + % This means: + % R1R2'F = V*Tfull + % only keep upper, non-zero block + T = Tfull(1:r,:); + I = speye(r,n); + % and now: + % R1R2'F = V*I'*T + % R1R2' = V*I'*T*F' + % Now we have that + % AE = Q*J*F*T'*I*V' + % We want to solve: + % Ax = b + % AEE'x = b + % E'x = (Q*J*F*T'*I*V')âºb + % x = E*(Q*J*F*T'*I*V')âºb + % x = E*(V*(I'*(T'\(F'*(J'*(Q'*b)))))) + % +end diff --git a/matlab/external/gptoolbox/matrix/writeDMAT.m b/matlab/external/gptoolbox/matrix/writeDMAT.m new file mode 100644 index 0000000..73eaf82 --- /dev/null +++ b/matlab/external/gptoolbox/matrix/writeDMAT.m @@ -0,0 +1,48 @@ +function writeDMAT(filename,W,ascii) + % WRITEDMAT writes a matrix from a dmat file. first line is <# columns> <# + % rows>, then values with columns running faster + % + % writeDMAT(filename,W) + % writeDMAT(filename,W,asci) + % + % Input: + % filename name of .dmat file + % W matrix read from file + % ascii write ascii file {true} + % + % Example: + % % weights for bones (C,BE), size #V by #BE + % WB; + % % rearrange weights to match sorted bone edge order used by lbs.app + % [~,I] = sortrows(BE,[1 2]); + % WB = WB(:,I); + % % Append zeros for dummy point handle weights + % W = [zeros(size(V,1),size(C,1)) WB]; + % % finally, write weights to file, usable by lbs.app + % writeDMAT(filename,W); + % + % See also: readDMAT + % + + %disp(['writing: ',filename]); + % open file + fp = fopen(filename,'w'); + if ~exist('ascii','var') || ascii + % write header + fprintf(fp,'%d %d\n',fliplr(size(W))); + % write data + fprintf(fp,'%.16g\n',W); + else + % write header for ascii + fprintf(fp,'0 0\n'); + % write header for binary + fprintf(fp,'%d %d\n',fliplr(size(W))); + if ~isa(W,'double') + warning('Input will be cast from %s to double',class(W)); + end + fwrite(fp,double(W),'double'); + end + % close file + fclose(fp); + +end diff --git a/matlab/external/gptoolbox/mesh/TriScatteredInterpVector.m b/matlab/external/gptoolbox/mesh/TriScatteredInterpVector.m new file mode 100644 index 0000000..230ce0a --- /dev/null +++ b/matlab/external/gptoolbox/mesh/TriScatteredInterpVector.m @@ -0,0 +1,36 @@ +function [F] = TriScatteredInterpVector(V,D) + % TRISCATTEREDINTERPVECTOR simple extension of TriScatteredInterp to handle + % vector values at each data point + % + % [F] = TriScatteredInterpVector(V,D) + % + % Inputs: + % V #V by 2 list of data positions + % D #V by m list of data vectors + % Outputs: + % A m-size cell of TriScatteredInterp classes corrsepnding to each + % coordinate of data vectors + % ev function handle to evaluate data at given points (X,Y) + % + + m = size(D,2); + + % make room in cell array + A = cell(1,m); + % loop over data coordinates + for ii = 1:m + % build interpolant for this coordinate + interp_func = TriScatteredInterp(V,D(:,ii)); + A{ii} = interp_func; + end + + % function handle to eval interps + F = @EvalTriScatteredInterpVector; + + function DXY = EvalTriScatteredInterpVector(X,Y) + % for convenience build the interpolantion evaluation function handle + f = @(I) I(X,Y); + DXY = cellfun(f,A, 'UniformOutput', false); + DXY = reshape(cell2mat(DXY),[size(X) m]); + end +end diff --git a/matlab/external/gptoolbox/mesh/add_shadow.m b/matlab/external/gptoolbox/mesh/add_shadow.m new file mode 100644 index 0000000..9b69289 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/add_shadow.m @@ -0,0 +1,96 @@ +function [h,L,M] = add_shadow(T,L,varargin) + % ADD_SHADOW Add a shadow for plotted mesh (t) according to light (l) + % + % h = add_shadow() % Apply to all + % h = add_shadow(T,L) + % h = add_shadow(T,L,'ParameterName',ParameterValue,...) + % h = add_shadow([],[],'ParameterName',ParameterValue,...) % apply to all + % + % Inputs: + % T #T list of trisurf handles {[] --> find all trisurf in `gca`} + % L #L list of lights {[] --> find all light in `gca`} + % Optional: + % 'Ground' ground plane equation {[0 0 -1 min(Z)]} + % Outputs: + % h #T*#L list of output shadow trisurf handles + % L #L list of lights + % M 4 by 4 by #T*#L shadow projection matrices + % + % Example: + % t = tsurf(F,V,'EdgeColor','none',fphong,'SpecularStrength',0.1); + % l = [ + % light('Position',[-10 -10 13],'Style','local'); + % light('Position',[10 -10 13],'Style','local')]; + % camproj('persp'); + % axis equal; + % h = add_shadow(t,l); + % apply_ambient_occlusion(t); + % + + % default values + ground = []; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Ground'}, ... + {'ground'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + if ~exist('T','var') || isempty(T) + c = get(gca,'Children'); + T = c(arrayfun(@(x) isa(x,'matlab.graphics.primitive.Patch'),c)); + end + + if ~exist('L','var') || isempty(L) + c = get(gca,'Children'); + L = c(arrayfun(@(x) isa(x,'matlab.graphics.primitive.Light'),c)); + if isempty(L) + L = camlight; + end + end + + if isempty(ground) + minZ = inf; + for t = T + V = t.Vertices; + minZ = min([V(:,3);minZ]); + end + ground = [0 0 -1 minZ]; + end + + h = []; + M = []; + for t = T' + V = t.Vertices; + for l = L' + % plane equation + % 0 = ax + by + cz + d + light_pos = [l.Position strcmp(l.Style,'local')]; + d = ground * light_pos'; + shadow_mat = d*eye(4) - light_pos'*ground; + U = [V ones(size(V,1),1)]*shadow_mat'; + U = bsxfun(@rdivide,U(:,1:3),U(:,4)); + + hold on; + tsh = trisurf(t.Faces,U(:,1),U(:,2),U(:,3), ... + 'FaceColor',[0.21 0.21 0.21], ... + 'DiffuseStrength',0,'SpecularStrength',0, ... + 'AmbientStrength',1, ... + 'EdgeColor','none'); + hold off; + h = [h;tsh]; + M(:,:,end+1) = shadow_mat; + end + end +end diff --git a/matlab/external/gptoolbox/mesh/adjacency_dihedral_angle_matrix.m b/matlab/external/gptoolbox/mesh/adjacency_dihedral_angle_matrix.m new file mode 100644 index 0000000..a679eb0 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/adjacency_dihedral_angle_matrix.m @@ -0,0 +1,93 @@ +function [A,C] = adjacency_dihedral_angle_matrix(V,F) + % ADJACENCY_DIHEDRAL_ANGLE_MATRIX Build a matrix A such that A(i,j) = θij the + % dihedral angle between faces F(i,:) and F(j,:) if they're neighbors (share + % an edge) or 0 if they're not. + % + % A = adjacency_dihedral_angle_matrix(V,F) + % + % Inputs: + % V #V by 3 list of vertex positions + % F #F by 3 list of triangle indices into V. F does *not* need to be + % manifold + % Outputs: + % A #F by #F sparse matrix of signed dihedral angles. All entries are in + % [0,2*pi] A-->0 as edge is more convex, A-->pi as edge is more flat, + % A-->2*pi as edge is more concave (as view from outside, assuming + % counter-clockwise orientation. + % C #F by #F sparse matrix revealing C(i,j) = c that face j is incident on + % face i across its corner c + % + % Example: + % A = adjacency_dihedral_angle_matrix(V,F); + % % unsigned dihedral angles + % UA = pi*(A~=0)-abs(pi*(A~=0)-A); + % + % A = adjacency_dihedral_angle_matrix(V,F); + % % Adjacency matrix of nearly coplanar neighbors + % UA = pi*(A~=0)-abs(pi*(A~=0)-A); + % AF = UA>=(pi-1e-5); + % % get connected components + % C = components(AF); + % % plot with unique colors for each coplanar patch + % set(tsurf(F,V),'CData',C); + % CM = jet(numel(unique(C))); + % colormap(CM(randperm(end),:)); + % + + % all edges "both" directions + allE = [F(:,[2 3]);F(:,[3 1]);F(:,[2 1])]; + % index for each edge to unique edge + [E,~,IC] = unique(sort(allE,2),'rows'); + % FE(i,j) = 1 means that face j is incident upon edge i + % so all FE(:,j) == 1 are neighbors + FE = sparse( ... + IC(:), ... + repmat(1:size(F,1),3,1)', ... + reshape(repmat(1:3,size(F,1),1),3*size(F,1),1), ... + size(E,1), ... + size(F,1)); + + % precompute all unit normals + N = normalizerow(normals(V,F)); + + A = sparse(size(F,1),size(F,1)); + C = sparse(size(F,1),size(F,1)); + % Peal off one set of pairs at a time + % There is a chance this is significantly faster by first transposing FE + while nnz(FE) > 0 + % Get index of first face per row + [OM,J] = max(FE,[],2); + I = 1:size(E,1); % Edge index + I = I(OM~=0); + J = J(OM~=0); % First face index + M = OM(OM~=0); + % Lookup: L(i) = j --> edge i reveals face j + L = sparse(I,1,J,size(E,1),1); + % remove these from FE + old = nnz(FE); + FE = FE - sparse(I,J,M,size(E,1),size(F,1)); + new = nnz(FE); + assert(new<=old); + [I2,J2,M2] = find(FE); + % Pair up with first + J1 = L(I2); + % get unit normals + N1 = N(J1,:); + N2 = N(J2,:); + % get unit edge vector + C1 = mod(OM(I2)+2,3)+1; + C2 = mod(M2+2,3)+1; + E1 = sub2ind(size(F),J2,mod(M2+1,3)+1); + E2 = sub2ind(size(F),J2,mod(M2-1+1,3)+1); + EV = normalizerow(V(F(E2),:)-V(F(E1),:)); + % Don't need unit normals + % http://en.wikipedia.org/wiki/Dihedral_angle#Alternative_definitions + D12 = pi-atan2(dot(cross(N1,N2,2),EV,2),dot(N1,N2,2)); + %D12 = pi-acos(sum(N1.*N2,2)); + % append to A: plus is OK here because if two facets share more than one + % edge they are coplanar so D12 equals 0 in both cases + A = A + sparse([J1;J2],[J2;J1],[D12;D12],size(F,1),size(F,1)); + C = C + sparse([J2 J1],[J1 J2],[C2 C1],size(F,1),size(F,1)); + end + +end diff --git a/matlab/external/gptoolbox/mesh/adjacency_edge_cost_matrix.m b/matlab/external/gptoolbox/mesh/adjacency_edge_cost_matrix.m new file mode 100644 index 0000000..dfa56d0 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/adjacency_edge_cost_matrix.m @@ -0,0 +1,31 @@ +function [C] = adjacency_edge_cost_matrix(V,E) + % ADJACENCY_EDGE_COST_MATRIX Build sparse adjacency matrix from edge list or + % face list + % + % [C] = adjacency_edge_cost_matrix(V,E) + % [C] = adjacency_edge_cost_matrix(V,F) + % [C] = adjacency_edge_cost_matrix(V,T) + % + % Inputs: + % V #V list of vertex positions + % E #E by 2 edges list + % or + % F #F by 3 triangle list + % or + % T #F by 4 tet list + % Outputs: + % C #V by #V adjacency matrix weighted by edge norms + % + + if(size(E,2)>2) + F = E; + E = edges(F); + end + + % compute edge norms + edge_norms = sqrt(sum((V(E(:,1),:)-V(E(:,2),:)).^2,2)); + % number of vertices + n = size(V,1); + % build sparse adjacency matrix with non-zero entries indicated edge costs + C = sparse([E(:,1);E(:,2)],[E(:,2);E(:,1)],repmat(edge_norms,[2 1]),n,n); +end diff --git a/matlab/external/gptoolbox/mesh/adjacency_list.m b/matlab/external/gptoolbox/mesh/adjacency_list.m new file mode 100644 index 0000000..fe80d06 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/adjacency_list.m @@ -0,0 +1,37 @@ +function A = adjacency_list(F,b) + % ADJACENCY_LIST build adjacency lists for vertices of triangle mesh + % + % A = adjacency_list(F) + % A = adjacency_list(F,b) + % + % Inputs: + % F #F by 3 list of triangle indices + % Optional: + % b #b list of indices of vertices for which to build adjancency lists, + % default is 1:max(F(:)) + % Output: + % A #b cell array of adjacency lists so that A{i} are the neighbors of b(i) + % + + + indices = 1:max(F(:)); + + % if b is not given build for all + if ~exist('b','var') + b = indices; + end + + assert(numel(b) == prod(size(b))); + % number of vertices for which to build adjacency lists + m = numel(b); + + % build adjacency matrix + M = adjacency_matrix(F); + + A = cell(m,1); + for ii = 1:m + A{ii} = indices(logical(M(b(ii),:))); + end + + +end diff --git a/matlab/external/gptoolbox/mesh/adjacency_matrix.m b/matlab/external/gptoolbox/mesh/adjacency_matrix.m new file mode 100644 index 0000000..25b0675 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/adjacency_matrix.m @@ -0,0 +1,26 @@ +function [A] = adjacency_matrix(E) + % ADJACENCY_MATRIX Build sparse adjacency matrix from edge list or face list + % + % [A] = adjacency_matrix(E) + % [A] = adjacency_matrix(F) + % [A] = adjacency_matrix(T) + % + % Inputs: + % E #E by 2 edges list + % or + % F #F by 3 triangle list + % or + % T #F by 4 tet list + % Outputs: + % A #V by #V adjacency matrix (#V = max(E(:))) + % + % See also: facet_adjacency_matrix + % + + if size(E,2)>2 + F = E; + E = edges(F); + end + + A = sparse([E(:,1) E(:,2)],[E(:,2) E(:,1)],1); +end diff --git a/matlab/external/gptoolbox/mesh/all_pairs_distances.m b/matlab/external/gptoolbox/mesh/all_pairs_distances.m new file mode 100644 index 0000000..ca0b71b --- /dev/null +++ b/matlab/external/gptoolbox/mesh/all_pairs_distances.m @@ -0,0 +1,61 @@ +function D = all_pairs_distances(V,U) + % ALL_PAIRS_DISTANCES compute distances between each point i in V and point j + % in U + % + % This is obsolete: use pdist2 instead + % + % D = all_pairs_distances(V,U) + % + % Inputs: + % V #V by dim list of points + % U #U by dim list of points + % Outputs: + % D #V by #U matrix of distances, where D(i,j) gives the distance between + % V(i,:) and U(j,:) + % + + warning('obsolete. Call `pdist2` directly instead'); + + assert(size(V,2) == size(U,2)); + + %% Super-slow for loops method + %% Elapsed time is 128.969203 seconds. + %D = zeros(size(V,1),size(U,1)); + %for i = 1:size(V,1) + % for j = 1:size(U,1) + % D(i,j) = sqrt(sum((V(i,:)-U(j,:)).^2,2)); + % end + %end + + %% Slow, especially if hitting memory paging + %% Elapsed time is 2.519262 seconds. + %D = ... + % squeeze(sqrt(sum((repmat(V,[1 1 size(U,1)])- ... + % permute(repmat(U,[1 1 size(V,1)]),[3 2 1])).^2,2))); + + %% Faster single for loop, single repmat method, handles memory paging better + %% Elapsed time is 1.160419 seconds. + %D = zeros(size(V,1),size(U,1)); + %for i = 1:size(V,1) + % D(i,:) = ... + % sqrt(sum((repmat(V(i,:),[size(U,1) 1]) - U).^2,2))'; + %end + + + + if size(V,1) > 1000 || size(U,1) > 1000 + % Fast single for loop, single bsxfun method, but matlab can handle both for + % loops in bsxfun. This seems to be a nice balance between hitting a memory + % wall for big input and still being fast for medium and slow input + % Elapsed time is 0.863138 seconds. + D = zeros(size(V,1),size(U,1)); + for i = 1:size(V,1) + D(i,:) = ... + sqrt(sum(bsxfun(@minus,V(i,:),U).^2,2)); + end + else + % Fastest + % Elapsed time is 0.653082 seconds. + D = permute(sqrt(sum(bsxfun(@minus,V,permute(U,[3 2 1])).^2,2)),[1 3 2]); + end +end diff --git a/matlab/external/gptoolbox/mesh/alpha_complex.m b/matlab/external/gptoolbox/mesh/alpha_complex.m new file mode 100644 index 0000000..6b51731 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/alpha_complex.m @@ -0,0 +1,104 @@ +function [AF,DF] = alpha_complex(varargin) + % ALPHA_COMPLEX Compute the alpha complex for a given set of points and a + % given alpha. That is, elements of the delaunay mesh for these point whose + % circumsphere radius is at most 1/alpha + % + % [AF,DF] = alpha_complex(V,alpha) + % [AF,DF] = alpha_complex(V,alpha,'ParameterName',ParameterValue,...) + % + % Inputs: + % V #V by dim list of point positions + % alpha aka 1/max radius + % Optional: + % 'OnlyShrinkBoundary' followed by true or false, whether to only remove + % elements on the boundary (see Holes), default is false + % 'Holes' Specifies internal holes, only realy useful if + % ShrinkBoundaryOnly is true. Followed by a #H by dim list of hole + % positions, should be inside convex hull of V + % Outputs: + % AF #AF by dim+1 list of element indices in alpha complex + % DF #DF by dim+1 list of element indices in delaunay complex + % + + V = varargin{1}; + alpha = varargin{2}; + + % defaults + only_shrink_boundary = false; + H = []; + + ii = 3; + while ii <= nargin + switch varargin{ii} + case 'OnlyShrinkBoundary' + if (ii+1)<=nargin && ~ischar(varargin{ii}) + ii = ii + 1; + only_shrink_boundary = varargin{ii}; + else + only_shrink_boundary = true; + end + case 'Holes' + assert((ii+1)<=nargin); + ii = ii + 1; + H = varargin{ii}; + otherwise + error(['Unsupported option: ' varargin{ii}]); + end + ii = ii + 1; + end + + + if size(V,2) == 3 && all(V(:,3) == 0) + warning('Ignoring all zero Z-coordinate, treating as 2D'); + V = V(:,1:2); + end + + % compute delaunay mesh + dim = size(V,2); + switch dim + case 2 + DF = delaunay(V(:,1),V(:,2)); + % triangle side lengths + l = [ ... + sqrt(sum((V(DF(:,2),:)-V(DF(:,3),:)).^2,2)) ... + sqrt(sum((V(DF(:,3),:)-V(DF(:,1),:)).^2,2)) ... + sqrt(sum((V(DF(:,1),:)-V(DF(:,2),:)).^2,2)) ... + ]; + % compute element circumradii + % http://en.wikipedia.org/wiki/Circumscribed_circle#Circumscribed_circles_of_triangles + dblA = doublearea_intrinsic(l); + r = prod(l,2)./dblA; + case 3 + DF = delaunay(V(:,1),V(:,2),V(:,3)); + error + otherwise + DF = delaunayn(V); + error + end + + % initialize with delaunay mesh + AF = DF; + % remove any elements containing hole positions + if ~isempty(H) + I = in_face(V,DF,H); + AF = AF(~any(I,1),:); + r = r(~any(I,1),:); + end + + % get while loop running + old_AF_size = size(AF,1)+1; + while(old_AF_size ~= size(AF,1)) + old_AF_size = size(AF,1); + % remove elements that are too big + keep = r<(1/alpha); + if only_shrink_boundary + % ... and on boundary + B = on_boundary(AF); + tsurf(AF(B,:),V); + % get boundary faces + keep = keep | ~B; + end + AF = AF(keep,:); + r = r(keep); + end +end diff --git a/matlab/external/gptoolbox/mesh/animated_tetramesh.m b/matlab/external/gptoolbox/mesh/animated_tetramesh.m new file mode 100644 index 0000000..8f63183 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/animated_tetramesh.m @@ -0,0 +1,50 @@ +function h = animated_tetramesh(T,X,Y,Z) + % ANIMATED_TETRAMESH animated, interactive tetramesh plot + % + % h = animated_tetramesh(F,X,Y,Z) + % + % Inputs: + % F #F by 4 list of tetrahedra indices + % V #V by dim by #{frames | 1} list of vertex positions + % or + % X #V by #{frames | 1} list of X positions + % Y #V by #{frames | 1} list of Y positions + % Z #V by #{frames | 1} list of Z positions + % Outputs: + % h handle to plot + % + % See also: tsurf, trisurf, tetramesh, animated_trisurf + % + + % this is not working because tetramesh just displays #T surfaces + % I guess I could do that: just build a "surface" mesh with faces for each + % face in the tet mesh, then I could tweak Vertices data on the fly, in fact + % then its just a wrapper for animated_trisurf + % get all faces + + allF = [ ... + T(:,1) T(:,2) T(:,3); ... + T(:,1) T(:,3) T(:,4); ... + T(:,1) T(:,4) T(:,2); ... + T(:,2) T(:,4) T(:,3)]; + % sort rows so that faces are reorder in ascending order of indices + sortedF = sort(allF,2); + % determine uniqueness of faces + [F,m,n] = unique(sortedF,'rows'); + + if nargin == 2 + V = X; + dim = size(V,2); + X = squeeze(V(:,1,:)); + Y = squeeze(V(:,2,:)); + if dim == 3 + Z = squeeze(V(:,3,:)); + else + Z = 0*X(:,1); + end + end + + h = animated_trisurf(F,X,Y,Z); + +end + diff --git a/matlab/external/gptoolbox/mesh/animated_trisurf.m b/matlab/external/gptoolbox/mesh/animated_trisurf.m new file mode 100644 index 0000000..4f9bc1e --- /dev/null +++ b/matlab/external/gptoolbox/mesh/animated_trisurf.m @@ -0,0 +1,132 @@ +function h = animated_trisurf(F,X,Y,Z) + % ANIMATED_TRISURF animated, interactive trisurf plot + % + % h = animated_trisurf(F,X,Y,Z) + % + % Inputs: + % F #F by 3 by {#frames | 1} list of triangle indices + % V #V by dim by #{frames | 1} list of vertex positions + % or + % X #V by #{frames | 1} list of X positions + % Y #V by #{frames | 1} list of Y positions + % Z #V by #{frames | 1} list of Z positions + % Outputs: + % h handle to plot + % + % See also: tsurf, trisurf + % + + if nargin == 2 + V = X; + dim = size(V,2); + X = squeeze(V(:,1,:)); + Y = squeeze(V(:,2,:)); + if dim == 3 + Z = squeeze(V(:,3,:)); + else + Z = 0*X(:,1); + end + end + + + % number of mesh vertices + n = size(X,1); + assert(size(Y,1) == n); + assert(size(Z,1) == n); + + % count of frames + fc = max([size(X,2) size(Y,2) size(Z,2)]); + assert(size(X,2) == 1 || size(X,2) == fc); + assert(size(Y,2) == 1 || size(Y,2) == fc); + assert(size(Z,2) == 1 || size(Z,2) == fc); + + assert(size(F,3) == 1 || size(F,3) == fc); + + % set animating to false + animating = false; + % current frame + fi = 1; + % current frame delta + fd = 1; + h = trisurf(F(:,:,fi),X(:,fi),Y(:,fi),Z(:,fi), ... + 'FaceColor','interp', ... + 'ButtonDownFcn',@onmeshdown); + was_hold = ishold; + hold on; + p = plot3([max(X(:));min(X(:))],[max(Y(:));min(Y(:))],[max(Z(:));min(Z(:))]); + if ~was_hold + hold off; + end + set(p,'Visible','off'); + + t = timer('TimerFcn',@increment_if_animating,'Period',0.03,'ExecutionMode','fixedDelay'); + start(t); + + + % handle simple case where there's only a single frame + if fc == 1 + return + end + + + % on mouse down on mesh + function onmeshdown(src,ev) + if(strcmp('normal',get(gcf,'SelectionType'))) + % left-click + down_type = 'left'; + else + % other (right) click + down_type = 'right'; + end + + switch down_type + case 'left' + animating = ~animating; + end + end + + function increment_if_animating(src,ev) + if animating + increment(); + elseif ~ishandle(h) + stop(t); + delete(t); + return; + end + end + + function increment() + % if plot is closed then delete timer + if ~ishandle(h) + stop(t); + delete(t); + return; + end + + fi = fi+fd; + if fi <= 1 + fd = 1; + fi = 1; + animating = false; + elseif fi >= fc + fd = -1; + fi = fc; + animating = false; + end + + % always check that handle still exists before updating + if ishandle(h) + set(h,'Vertices',[ ... + X(:,mod(fi-1,size(X,2))+1) ... + Y(:,mod(fi-1,size(Y,2))+1) ... + Z(:,mod(fi-1,size(Z,2))+1)]); + if size(F,3) == fc + set(h,'Faces',F(:,:,mod(fi-1,fc)+1)); + end + set(h,'CData',Z(:,mod(fi-1,size(Z,2))+1)); + drawnow + end + end + + +end diff --git a/matlab/external/gptoolbox/mesh/apply_ambient_occlusion.m b/matlab/external/gptoolbox/mesh/apply_ambient_occlusion.m new file mode 100644 index 0000000..1cd1d97 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/apply_ambient_occlusion.m @@ -0,0 +1,158 @@ +function [AO,C,l] = apply_ambient_occlusion(t,varargin) + % APPLY_AMBIENT_OCCLUSION Apply ambient occlusion to a given plot of a mesh. + % Derive colors from the current plot and provide new modulated colors + % according to the ambient occlusion computed for this mesh. + % + % AO = apply_ambient_occlusion(t) + % [AO,l] = apply_ambient_occlusion(t,'ParameterName',parameter_value, ...) + % + % Inputs: + % t handle to a `trisurf` or `patch` object + % Optional: + % 'AO' followed by previously computed ambient occlusion values {[]} + % 'AddLights' followed by whether to add lights {true} + % 'SoftLighting' followed by whether to soft lighting {true} + % 'Samples' followed by the number of samples to use when computing + % ambient occlusion {1000} + % 'ColorMap' followed by a colormap to use + % 'CAxis' followed by a caxis ("color axis") to use + % 'Colors' followed by a #V|#F|1 list of colors to use + % Outputs: + % AO #V by 1 list of ambient occlusion values + % l #l list of light handles + + function [AO,C] = apply_ambient_occlusion_helper(t,AO,C) + V = t.Vertices; + Poly = t.Faces; + % triangulate high order facets + F = []; + for c = 3:size(Poly,2) + F = [F;Poly(:,[1 c-1 c])]; + end + if isempty(C) + C = t.FaceVertexCData; + end + if isnumeric(t.FaceColor) + assert(numel(t.FaceColor) == 3); + C = repmat(reshape(t.FaceColor,1,3),size(V,1),1); + else + if size(C,2) == 1 + CI = floor((C-CA(1))/(CA(2)-CA(1))*size(CM,1))+1; + % maintain nans + Cnan = isnan(C); + C = squeeze(ind2rgb(CI,CM)); + C(Cnan,:) = nan; + end + if strcmp(t.FaceColor,'flat') && size(C,1) == size(V,1) + C = C(F(:,1),:); + end + end + if size(C,1) == size(V,1) + t.FaceColor = 'interp'; + O = V; + N = per_vertex_normals(V,F); + % Matlab uses backwards normals + t.VertexNormals = -N; + lighting phong; + elseif size(C,1) == size(F,1) + t.FaceColor = 'flat'; + % Could be fancy and use high-order quadrature. + O = barycenter(V,F); + N = normalizerow(normals(V,F)); + lighting flat; + else + error('Unknown number of colors'); + end + if soft_lighting + t.FaceLighting = 'phong'; + t.SpecularStrength = 0.1; + t.DiffuseStrength = 0.1; + % Boost ambient to maintain brightness + t.AmbientStrength = 1.0; + end + if isempty(AO) + AO = ambient_occlusion(V,F,O,N,samples); + end + t.FaceVertexCData = bsxfun(@times,C,1-AO); + end + + AO = []; + CM = []; + CA = []; + C = []; + % default values + add_lights = true; + soft_lighting = true; + samples = 1000; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'AO','AddLights','SoftLighting','Samples','ColorMap','CAxis','Colors'}, ... + {'AO','add_lights','soft_lighting','samples','CM','CA','C'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + if isempty(CM) + CM = colormap; + end + if isempty(CA) + CA = caxis; + end + + if ~exist('t','var') || isempty(t) + c = get(gca,'Children'); + t = c(arrayfun(@(x) isa(x,'matlab.graphics.primitive.Patch'),c)); + end + + AOin = AO; + Cin = C; + for ii = 1:numel(t) + if isempty(AOin) + AOii = []; + else + if numel(t) == 1 + AOii = AOin; + else + AOii = AOin{ii}; + end + end + if isempty(Cin) + Cii = []; + else + if numel(t) == 1 + Cii = Cin; + else + Cii = Cin{ii}; + end + end + + tii = t(ii); + [AOii,Cii] = apply_ambient_occlusion_helper(tii,AOii,Cii); + if numel(t) == 1 + AO = AOii; + C = Cii; + else + AO{ii} = AOii; + C{ii} = Cii; + end + end + + if add_lights + a = get(tii,'Parent'); + cen = [mean(a.XLim) mean(a.YLim) mean(a.ZLim)]; + l = {}; + l{1} = light('Position',[cen(1) cen(2) 10*(max(a.ZLim)-min(a.ZLim))+cen(3)],'Style','local','Color',[1 1 1]/3); + l{2} = light('Position',[cen(1) 10*(max(a.ZLim)-min(a.ZLim))+cen(2) cen(3)],'Style','local','Color',[1 1 1]/3); + l{3} = light('Position',[cen(1) 10*(min(a.ZLim)-max(a.ZLim))+cen(2) cen(3)],'Style','local','Color',[1 1 1]/3); + end +end diff --git a/matlab/external/gptoolbox/mesh/arap.m b/matlab/external/gptoolbox/mesh/arap.m new file mode 100644 index 0000000..6611455 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/arap.m @@ -0,0 +1,382 @@ +function [U,data,SS,R] = arap(varargin) + % ARAP Solve for the as-rigid-as-possible deformation according to various + % manifestations including: + % (1) "As-rigid-as-possible Surface Modeling" by [Sorkine and Alexa 2007] + % (2) "A local-global approach to mesh parameterization" by [Liu et al. + % 2010] or "A simple geometric model for elastic deformation" by [Chao et + % al. 2010] + % (3) Adapted version of "As-rigid-as-possible Surface Modeling" by + % [Sorkine and Alexa 2007] presented in section 4.2 of or "A simple + % geometric model for elastic deformation" by [Chao et al. 2010] + % + % U = arap(V,F,b,bc) given a rest mesh (V,F) and list of constraint vertex + % indices (b) and their new postions (bc) solve for pose mesh positions (U), + % using default choice for 'Energy' + % + % U = arap(V,F,b,bc,'ParameterName','ParameterValue',...) + % + % Inputs: + % V #V by dim list of rest domain positions + % F #F by {3|4} list of {triangle|tetrahedra} indices into V + % b #b list of indices of constraint (boundary) vertices + % bc #b by dim list of constraint positions for b + % Optional: + % 'Energy' + % followed by a string specifying which arap energy definition to use. + % One of the following: + % 'spokes' "As-rigid-as-possible Surface Modeling" by [Sorkine and + % Alexa 2007], rotations defined at vertices affecting incident + % edges + % 'elements' "A local-global approach to mesh parameterization" by + % [Liu et al. 2010] or "A simple geometric model for elastic + % deformation" by [Chao et al. 2010], rotations defined at + % elements (triangles or tets) + % 'spokes-and-rims' Adapted version of "As-rigid-as-possible Surface + % Modeling" by [Sorkine and Alexa 2007] presented in section 4.2 of + % or "A simple geometric model for elastic deformation" by [Chao et + % al. 2010], rotations defined at vertices affecting incident + % edges and opposite edges + % 'V0' #V by dim list of initial guess positions + % dim by dim by #C list of linear transformations initial guesses, + % optional (default is to use identity transformations) + % 'Data' see output + % 'Groups' + % followed by #V list of group indices (1 to k) for each vertex, such + % that vertex i is assigned to group G(i) + % 'Tol' + % stopping critera parameter. If variables (linear transformation matrix + % entries) change by less than 'tol' the optimization terminates, + % default is 0.75 (weak tolerance) + % 'MaxIter' + % max number of local-global iterations, default is 10 + % 'Dynamic' + % #V by dim list of external forces + % 'TimeStep' + % scalar time step value + % 'Vm1' + % #V by dim positions at time t-1 + % 'Tikhonov' followed by constant Tikhonov regularization parameter + % alpha: + % http://en.wikipedia.org/wiki/Tikhonov_regularization#Relation_to_probabilistic_formulation + % 'Flat' followed by whether to add the constraint that Z=0 {false} + % 'RemoveRigid' followed by whether to add a constraint that places an + % arbitrary point at the origin and another along the x-axis {false} + % Outputs: + % U #V by dim list of new positions + % data struct of reusable data + % .CSM dim*n by dim*n sparse matrix containing special laplacians along the + % diagonal so that when multiplied by repmat(U,dim,1) gives covariance + % matrix elements, can be used to speed up next time this function is + % called, see function definitions + % + % Known issues: 'Flat',true + 'Energy','elements' should only need a 2D + % rotation fit, but this does 3D to stay general (e.g. if one were to use + % 'spokes' then the edge-set cannot be pre-mapped to a common plane) + % + % See also: takeo_arap + % + + % parse input + V = varargin{1}; + F = varargin{2}; + b = varargin{3}; + bc = varargin{4}; + G = []; + + % number of vertices + n = size(V,1); + assert(isempty(b) || max(b) <= n); + assert(isempty(b) || min(b) >= 1); + + indices = 1:n; + max_iterations = 100; + tol = 0.001; + interior = indices(~ismember(indices,b)); + U = []; + Vm1 = []; + % default is Sorkine and Alexa style local rigidity energy + energy = 'spokes'; + % default is no external forces + fext = []; + % defaults is unit time step + h = 1; + % Tikhonov regularization alpha + alpha_tik = 0; + % flatten/parameterization + flat = false; + % remove rigid transformation invariance + remove_rigid = false; + G = []; + debug = false; + data = []; + + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Energy','V0','Data','Tikhonov','Groups','Tol', ... + 'MaxIter','Dynamic','TimeStep','Vm1','Flat','RemoveRigid','Debug'}, ... + {'energy','U','data','alpha_tik','G','tol','max_iterations','fext', ... + 'h','Vm1','flat','remove_rigid','debug'}); + v = 5; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + if isempty(fext) + dynamic = false; + fext = zeros(size(V)); + else + dynamic = true; + end + + + if isempty(G) + k = n; + else + k = max(G); + end + if flat + [ref_V,ref_F,ref_map] = plane_project(V,F); + assert(strcmp(energy,'elements'),'flat only makes sense with elements'); + else + ref_map = 1; + ref_V = V; + ref_F = F; + end + dim = size(ref_V,2); + if isempty(bc) + bc = sparse(0,dim); + end + + assert(dim == size(bc,2)); + + if isempty(U) + if(dim == 2) + U = laplacian_mesh_editing(V,F,b,bc); + else + U = V; + end + U = U(:,1:dim); + end + assert(n == size(U,1)); + assert(dim == size(U,2)); + + if dynamic + V0 = U(:,1:dim); + if isempty(Vm1) + Vm1 = V0; + end + M = massmatrix(V,F); + M = M/max(M(:)); + % Larger is more dynamic, smaller is more rigid. + dw = 5e-2*h^2; + DQ = dw * 0.5*1/h^2*M; + vel = (V0-Vm1)/h; + Dl = dw * (1/(h^2)*M*(-V0 - h*vel) - fext); + %Dl = 1/h^3*M*(-2*V0 + Vm1) - fext; + else + DQ = sparse(size(V,1),size(V,1)); + Dl = sparse(size(V,1),dim); + end + + if ~isfield(data,'L') || isempty(data.L) + data.L = cotmatrix(V,F); + end + + rr.b = cell(dim,1); + rr.bc = cell(dim,1); + if ~isfield(data,'rr') + data.rr = []; + if ~isfield(data.rr,'preF') + data.rr.preF = cell(dim,1); + end + end + if ~isfield(data,'preF') + data.preF = []; + end + if remove_rigid + if ~isempty(b) + warning('RemoveRigid`s constraints are not typically wanted if |b|>0'); + end + % the only danger is picking two points which end up mapped very close to + % each other + [~,f] = farthest_points(V,dim); + for c = 1:dim + rr.b{c} = f([1:dim-(c-1)])'; + rr.bc{c} = zeros(numel(rr.b{c}),1); + end + % Immediately remove rigid transformation from initial guess + U = bsxfun(@minus,U,U(f(1),:)); + % We know that f(1) is at origin + switch dim + case 3 + % rotate about y-axis so that f(2) has (x=0) + theta = atan2(U(f(2),1),U(f(2),3)); + R = axisangle2matrix([0 1 0],theta); + U = U*R; + % rotate about x-axis so that f(2) has (y=0) + theta = atan2(U(f(2),3),U(f(2),2))+pi/2; + R = axisangle2matrix([1 0 0],theta); + U = U*R; + % rotate about z-axis so that f(3) has (x=0) + theta = atan2(U(f(3),2),U(f(3),1))+pi/2; + R = axisangle2matrix([0 0 1],theta); + U = U*R; + case 2 + % rotate so that f(2) is on y-axis (x=0) + theta = atan2(U(f(2),2),U(f(2),1))+pi/2; + R = [cos(theta) -sin(theta);sin(theta) cos(theta)]; + U = U*R; + otherwise + error('Unsupported dimension'); + end + end + + all = [interior b]; + + % cholesky factorization + %cholL = chol(-L(interior,interior),'lower'); + % Why lu and not cholesky? + %[luL,luU,luP,luQ,luR] = lu(-L(interior,interior)); + + %R = repmat(eye(dim,dim),[1 1 n]); + + if ~isfield(data,'ae') || isempty(data.ae) + data.ae = avgedge(V,F); + end + + % build covariance scatter matrix used to build covariance matrices we'll + % later fit rotations to + if ~isfield(data,'CSM') || isempty(data.CSM) + assert(size(ref_V,2) == dim); + data.CSM = covariance_scatter_matrix(ref_V,ref_F,'Energy',energy); + if flat + data.CSM = data.CSM * repdiag(ref_map',dim); + end + + % if there are groups then condense scatter matrix to only build + % covariance matrices for each group + if ~isempty(G) + if strcmp(energy,'elements') && numel(G) ~= size(F,1) && numel(G) == n + % groups are defined per vertex, convert to per face using mode + G = mode(G(F),2); + end + G_sum = group_sum_matrix(G,k); + %CSM = [G_sum sparse(k,n); sparse(k,n) G_sum] * CSM; + data.CSM = repdiag(G_sum,dim) * data.CSM; + end + end + + % precompute rhs premultiplier + if ~isfield(data,'K') || isempty(data.K) + [~,data.K] = arap_rhs(ref_V,ref_F,[],'Energy',energy); + if flat + data.K = repdiag(ref_map,dim) * data.K; + end + end + + % initialize rotations with identies (not necessary) + R = repmat(eye(dim,dim),[1 1 size(data.CSM,1)/dim]); + + iteration = 0; + U_prev = V; + data.energy = inf; + while true + + if iteration > max_iterations + if debug + fprintf('arap: Iter (%d) > max_iterations (%d)\n',iteration,max_iterations); + end + break; + end + + if iteration > 0 + change = max(abs(U(:)-U_prev(:))); + if debug + fprintf('arap: iter: %d, change: %g, energy: %g\n', ... + iteration,change,data.energy); + end + if change energy_prev + if debug + fprintf('arap: energy (%g) increasing (over %g)\n', ... + data.energy,energy_prev); + end + break; + end + %U(interior,:) = -L(interior,interior) \ (B(interior,:) + L(interior,b)*bc); + %U(interior,:) = -L(interior,all)*L(all,interior) \ (L(interior,all)*B(all,:) + L(interior,all)*L(all,b)*bc); + %U(interior,:) = luQ*(luU\(luL\(luP*(luR\(B(interior,:)+L(interior,b)*bc))))); + %U(interior,:)=cholL\((B(interior,:)+L(interior,b)*bc)'/cholL)'; + iteration = iteration + 1; + end + U = U(:,1:dim); +end diff --git a/matlab/external/gptoolbox/mesh/arap_energy.m b/matlab/external/gptoolbox/mesh/arap_energy.m new file mode 100644 index 0000000..fb5c56e --- /dev/null +++ b/matlab/external/gptoolbox/mesh/arap_energy.m @@ -0,0 +1,139 @@ +function [E,ER] = arap_energy(V,F,U,varargin) + % ARAP_ENERGY This function is meant as a very human readable groundtruth for + % evaluating ARAP energies. + % For faster energy computation see `arap_gradient.m` + % + % Inputs: + % V #V by dim list of mesh vertex rest positions + % F #F by simplex list of element indices into V + % U #V by dim list of deformed vertex positions + % Optional: + % 'Energy' followed by 'spokes','spokes-and-rims', or 'elements' + % {'elements' or 'spokes-and-rims'} for tets or triangles respectively. + % Outputs: + % E scalar energy + % ER #R list of "per-rotation" energy contributions + % + % + % Known issues: + % If E_G is the energy returned by arap_gradient, then + % 'spokes-and-rims' energy E = 3 E_G + % 'spokes' energy E = 2 E_G + % 'elements' energy E = E_G + % + + + switch size(F,2) + case 4 + energy = 'elements'; + case 3 + energy = 'spokes-and-rims'; + end + % default values + % Map of parameter names to variable names + params_to_variables = containers.Map( {'Energy'}, ... + {'energy'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + dim = size(V,2); + C = cotangent(V,F); + + n = size(V,1); + m = size(F,1); + switch energy + case 'spokes' + nr = size(V,1); + edge_set = cell(nr,1); + switch size(F,2) + case 4 + AC = sparse( ... + F(:,[2 3 1 4 4 4 3 1 2 1 2 3]),F(:,[3 1 2 1 2 3 2 3 1 4 4 4]), ... + [C C],n,n); + case 3 + AC = sparse(F(:,[2 3 1 3 1 2]),F(:,[3 1 2 2 3 1]),[C C],n,n); + end + % loop over vertices + for r = 1:nr + [Jr,~,Cr] = find(AC(:,r)); + Ir = repmat(r,numel(Jr),1); + edge_set{r}.E = [Ir Jr]; + edge_set{r}.C = Cr; + end + case {'elements','spokes-and-rims'} + nr = size(F,1); + switch size(F,2) + case 3 + I = F(:,[2 3 1]); + J = F(:,[3 1 2]); + case 4 + I = F(:,[2 3 1 4 4 4]); + J = F(:,[3 1 2 1 2 3]); + end + edge_set = cell(nr,1); + % loop over elements + for r = 1:nr + edge_set{r}.E = [I(r,:)' J(r,:)']; + edge_set{r}.C = C(r,:); + end + if strcmp(energy,'spokes-and-rims') + Fedge_set = edge_set; + nr = size(V,1); + edge_set = cell(nr,1); + V2F = sparse( ... + F,repmat(1:size(F,1),size(F,2),1)',repmat(1:size(F,2),size(F,1),1),n,m); + % loop over vertices + for r = 1:nr + [~,Fr] = find(V2F(r,:)); + edge_set{r}.E = []; + edge_set{r}.C = []; + for f = Fr + edge_set{r}.E = [edge_set{r}.E;Fedge_set{f}.E]; + edge_set{r}.C = [edge_set{r}.C Fedge_set{f}.C]; + end + end + + end + + end + + ER = zeros(nr,1); + % loop over rotations + for r = 1:nr + % get edges for this rotation + Er = edge_set{r}.E; + Cr = edge_set{r}.C; + S = zeros(dim,dim); + % loop over edges to build covariance matrix for rotation fitting + for e = 1:size(Er,1) + i = Er(e,1); + j = Er(e,2); + ev = V(j,:)-V(i,:); + eu = U(j,:)-U(i,:); + S = S + Cr(e) * eu'*ev; + end + R = fit_rotation(S); + % Loop over edges to compute energy contribution + for e = 1:size(Er,1) + i = Er(e,1); + j = Er(e,2); + ev = V(j,:)-V(i,:); + eu = U(j,:)-U(i,:); + %ER(r) = ER(r) + 0.5 * Cr(e) * (eu - ev*R)*(eu - ev*R)'; + %ER(r) = ER(r) + 0.5 * Cr(e) * (eu*eu' - 2*ev*R*eu' + ev*R*R'*ev'); + ER(r) = ER(r) + 0.5 * Cr(e) * (eu*eu' - 2*ev*R*eu' + ev*ev'); + end + end + E = sum(ER); +end diff --git a/matlab/external/gptoolbox/mesh/arap_gradient.m b/matlab/external/gptoolbox/mesh/arap_gradient.m new file mode 100644 index 0000000..1259b8a --- /dev/null +++ b/matlab/external/gptoolbox/mesh/arap_gradient.m @@ -0,0 +1,110 @@ +function [G,E,R,data] = arap_gradient(V,F,U,varargin) + % ARAP_GRADIENT Compute the Gradient of an as-rigid-as-possible for a mesh in + % rest configuration (V,F) with vertices now at U, according to "A Simple + % Geometric Model for Elastic Deformations" [Chao et al. 2010] + % + % G = arap_gradient(V,F,U) + % [G,E,R] = arap_gradient(V,F,U,'ParameterName',ParameterValue, ...) + % + % Inputs: + % V #V by dim rest vertex positions + % F #F by simplex-size simplex indices into V + % U #V by dim deformed vertex positions + % Optional: + % 'Rotations' followed by R dim by dim by #R list of best fit + % rotations + % 'Energy' followed by either 'spokes','spokes-and-rims','elements' + % Outputs: + % G #V by dim list of gradient vectors per vertex + % E arap energy + % R dim by dim by #R list of best fit rotations + % data + % + % See also: arap, arap_hessian + % + % Example: + % % Given a mesh (V,F) and deformed positions U0, flow to energy minimum + % % using Newton's method. + % clf; + % hold on; + % tsurf(F,V,fphong,'FaceColor','r','SpecularStrength',0,'AmbientStrength',0.5); + % t = tsurf(F,U0,fphong,'FaceColor','b','SpecularStrength',0,'AmbientStrength',0.5); + % hold off; + % axis equal; + % view(2); + % camlight; + % U = U0; + % delta_t = 1e-1; + % while true + % [G,E] = arap_gradient(V,F,U); + % U = U - delta_t * G; + % U = bsxfun(@plus,U,mean(V)-mean(U)+[max(V(:,1))-min(V(:,1)) 0 0]); + % t.Vertices = U; + % title(sprintf('E = %g\n',E),'FontSize',20); + % drawnow; + % end + % + + switch size(F,2) + case 4 + energy = 'elements'; + case 3 + energy = 'spokes-and-rims'; + end + single_precision = true; + R = []; + data = []; + % default values + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Energy','Rotations','Data','SinglePrecision'}, ... + {'energy','R','data','single_precision'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + % TODO: implement "flat" arap like `arap.m`, for now use placeholders with + % non-flat defaults. + ref_V = V; + ref_F = F; + dim = size(ref_V,2); + flat = false; + + if isempty(data) + ss = size(F,2); + data.L = cotmatrix(V,F); + if isempty(R) + data.CSM = covariance_scatter_matrix(ref_V,ref_F,'Energy',energy); + end + [~,data.K] = arap_rhs(ref_V,ref_F,[],'Energy',energy); + end + + % compute covariance matrix elements + S = zeros(size(data.CSM,1),dim); + S(:,1:dim) = data.CSM*repmat(U,dim,1); + % dim by dim by n list of covariance matrices + SS = permute(reshape(S,[size(data.CSM,1)/dim dim dim]),[2 3 1]); + % fit rotations to each deformed vertex + R = fit_rotations(SS,'SinglePrecision',single_precision); + + nr = size(R,3); + Rcol = reshape(permute(R,[3 1 2]),nr*dim*dim,1); + dV = data.K * Rcol; + dV = reshape(dV,[size(V,1) dim]); + + G = -(data.L*U + dV); + if nargout > 1 + E = trace(-U'*0.5*data.L*U - U'*dV - V'*0.5*data.L*V); + end + +end diff --git a/matlab/external/gptoolbox/mesh/arap_hessian.m b/matlab/external/gptoolbox/mesh/arap_hessian.m new file mode 100644 index 0000000..79619b6 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/arap_hessian.m @@ -0,0 +1,159 @@ +function [H,L,BT,CC] = arap_hessian(V,F,varargin) + % ARAP_HESSIAN Compute the Hessian of an as-rigid-as-possible energy defined + % for a mesh (V,F), according to "Shape Decomposition using Modal Analysis" + % [Huang et al. 2009]. + % + % Inputs: + % V #V by dim list of mesh vertex positions + % F #F by simplex-size list of simplex indices into V + % Optional: + % 'Energy' followed by 'spokes','spokes-and-rims',or {'elements'} + % 'EvaluationPoint' followed by U #V by dim list of current positions + % 'Rotations' followed by best fit rotations R dim by dim #R + % corresponding to U {compute using `fit_rotations`} + % Outputs: + % H #V*dim by #V*dim + % + % See also: arap, arap_gradient + % + % Example: + % % Given a mesh (V,F) and deformed positions U0, flow to energy minimum + % % using Newton's method. + % clf; + % hold on; + % tsurf(F,V,'FaceAlpha',0.2,'EdgeAlpha',0.2,'FaceColor','r'); + % t = tsurf(F,U0,'FaceAlpha',0.2,'EdgeAlpha',0.2,'FaceColor','b'); + % hold off; + % axis equal; + % U = U0; + % delta_t = 1; + % while true + % [G,E,R] = arap_gradient(V,F,U); + % H = arap_hessian(V,F,'EvaluationPoint',U,'Rotations',R); + % U = U - reshape(delta_t * (H \ G(:)),size(U)); + % U = bsxfun(@plus,U,mean(V)-mean(U)); + % t.Vertices = U; + % title(sprintf('E = %g\n',E),'FontSize',20); + % drawnow; + % end + % + + %Q = [repdiag(L,dim) BT';BT CC]; + + energy = 'spokes-and-rims'; + U = []; + R = []; + % default values + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Energy','EvaluationPoint','Rotations'},{'energy','U','R'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + % Rewrite energy in [Huang et al. 09] for arbitrary edge-sets + % E(U) = ∑_k∈[1,r] ∑_{i,j}∈e_k w_ijk ‖ c_k × (p_i - p_j) - (u_i - u_j) ‖² + + % 3x3 blocks of crossproducts as matrices + % Bik = [ ∑_j s_ijk w_ijk (p_i - p_j) ]× where s_ijk is +1,-1 depending on + % order of {ij} in e_k + + % 3x3 blocks of covariance matrices (sums of outerproducts) + % **This is probably wrong in [Huang et al. 2009]** + % Ckk = ∑_{ij}∈e_k w_ijk (p_i - p_j)(p_i - p_j)' + % + % Should probably also contain: + % Ckk += ∑_{ij}∈e_k wijk ‖pi-pj‖² I + + % Number of vertices + n = size(V,1); + dim = size(V,2); + % Simplex size + ss = size(F,2); + % Number of simplices + m = size(F,1); + + L = -3*cotmatrix(V,F); + + % A(i,j) = w~=0 means that rotation edge set i contains edge allE(j,:) with + % weight w + LC = cotangent(V,F); + + % There seems to be an error (or at least omission) in [Huang et al. 2009]. + % The "C" matrix only computes part of each c × vij. + % ‖Ck × Vij‖² + % ‖Ck‖²‖Vij‖² - (Ckâ‹…Vij)² + % ^---diagonal part ^------outer product (covariance matrix) part + CSM = covariance_scatter_matrix(V,F,'Energy',energy); + % Number of rotations + nr = size(CSM,1)/dim; + if isempty(U) + % #R*dim by dim + S = CSM*repmat(V,dim,1); + else + S = CSM*repmat(U,dim,1); + SS = permute(reshape(S,[nr dim dim]),[2 3 1]); + % S(:,:,r) := R(:,:,r) * S(:,:,r) + if isempty(R) + R = fit_rotations(SS); + end + RSS = zeros(size(R)); + for j = 1:dim + RSS = RSS + bsxfun(@times,R(:,j,:),SS(j,:,:)); + end + S = reshape(permute(RSS,[3 1 2]),[nr*dim dim]); + end + %S = reshape(permute(reshape(S,[],2,dim),[3 2 1]),dim,[])'; + + X = cell(3,1); + for d = 1:dim + X{d} = arap_linear_block(V,F,d,'Energy',energy)'; + end + Z = sparse(nr,n); + BT = -3*[ Z -X{3} X{2}; ... + X{3} Z -X{1}; ... + -X{2} X{1} Z]; + + CI = repmat(1:nr*dim,dim,1)'; + CJ = repmat(reshape(1:nr*dim,nr,dim),dim,1); + CC = -3*sparse(CI,CJ,S,nr*dim,nr*dim); + CC = CC-diag(sparse(repmat(sum(reshape(diag(CC),nr,dim),2),dim,1))); + + % A X = B + % But P' A P is easier to invert + % P' A X = P' B + % Let P Y = X --> Y = P' X + % P' A P Y = P' B + % Y = (P' A P) \ P' B + % P' X = (P' A P) \ P' B + % X = P (P' A P) \ P' B + % inv(A) = P * inv(P' A P) P' + + %BCBT = BT'*(CC\BT); + P = sparse(1:nr*dim,reshape(1:nr*dim,dim,nr)',1); + function X = chol_solve(A,B) + [csL,p,csS] = chol(A); + if p ~= 0 + warning('arap_hessian: chol failed'); + X = A \ B; + else + X = csS*(csL\(csL'\(csS'*B))); + end + end + % TODO: is P'*CC*P always block diagonal? + % yes, but extracting these blocks using a for loop is waaaay slower than + % this: + BCBT = BT'*(P*chol_solve(P'*CC*P,P'*BT)); + + H = repdiag(L,dim) - BCBT; +end diff --git a/matlab/external/gptoolbox/mesh/arap_linear_block.m b/matlab/external/gptoolbox/mesh/arap_linear_block.m new file mode 100644 index 0000000..354499a --- /dev/null +++ b/matlab/external/gptoolbox/mesh/arap_linear_block.m @@ -0,0 +1,223 @@ +function [Kd] = arap_linear_block(varargin) + % ARAP_LINEAR_BLOCK constructs a block of the matrix which constructs the + % linear terms of a given arap energy. When treating rotations as knowns + % (arranged in a column) then this constructs Kd of K such that the linear + % portion of the energy is as a column: + % K * R = [Kx Z ... Ky Z ... + % Z Kx ... Z Ky ... + % ... ] + % These blocks are also used to build the "covariance scatter matrices". Here + % we want to build a scatter matrix that multiplies against positions + % (treated as known) producing covariance matrices to fit each rotation. + % Notice that in the case of the RHS of the poisson solve the rotations are + % known and the positions unknown, and vice versa for rotation fitting. These + % linear block just relate the rotations to the positions, linearly in each. + % + % Kd = arap_linear_block(V,F,d) + % Kd = arap_linear_block(V,F,d,'ParameterName','ParameterValue,...) + % + % Inputs: + % V #V by dim list of initial domain positions + % F #F by #simplex size list of triangle indices into V + % d coordinate of linear constructor to build + % Optional: + % 'Energy' + % followed by a string specifying which arap energy definition to use. + % One of the following: + % 'spokes' "As-rigid-as-possible Surface Modeling" by [Sorkine and + % Alexa 2007], rotations defined at vertices affecting incident + % edges, default + % 'elements' "A local-global approach to mesh parameterization" by + % [Liu et al. 2010] or "A simple geometric model for elastic + % deformation" by [Chao et al. 2010], rotations defined at + % elements (triangles or tets) + % 'spokes-and-rims' Adapted version of "As-rigid-as-possible Surface + % Modeling" by [Sorkine and Alexa 2007] presented in section 4.2 of + % or "A simple geometric model for elastic deformation" by [Chao et + % al. 2010], rotations defined at vertices affecting incident + % edges and opposite edges + % Outputs: + % Kd #V by #V/#F block of the linear constructor matrix corresponding to + % coordinate d + % + % See also: arap, arap_rhs, covariance_scatter_matrix + % + + % default is Sorkine and Alexa style local rigidity energy + energy = 'spokes'; + V = varargin{1}; + F = varargin{2}; + d = varargin{3}; + % number of vertices + n = size(V,1); + % number of elements + m = size(F,1); + % simplex size + simplex_size = size(F,2); + assert(simplex_size == 3 || simplex_size == 4); + % number of dimensions + dim = size(V,2); + assert(d <= dim); + + ii = 4; + while(ii <= nargin) + switch varargin{ii} + case 'Energy' + ii = ii + 1; + assert(ii<=nargin); + energy = varargin{ii}; + otherwise + error(['Unsupported parameter: ' varargin{ii}]); + end + ii = ii + 1; + end + + switch energy + case 'spokes' + Kd = spokes_linear_block(V,F,d); + case 'spokes-and-rims' + Kd = spokes_and_rims_linear_block(V,F,d); + case 'elements' + Kd = elements_linear_block(V,F,d); + otherwise + error(['Unsupported energy type: ' energy]); + end + + function K = spokes_linear_block(V,F,d) + % Computes a matrix K such that K * R computes + % ∑ wij * 0.5 * (V(i,d)-V(j,d)) * (Ri + Rj) + % j∈N(i) + % + % Inputs: + % V #V by dim list of coordinates + % F #F by 3 list of triangle indices into V + % d index into columns of V + % Output: + % K #V by #V matrix + % + E = edges(F); + % Build upper part of adjacency matrix where instead of a 1 for edge from i + % to j we have the difference of position in dimension d + A = sparse(E(:,1),E(:,2),V(E(:,1),d)-V(E(:,2),d),size(V,1),size(V,1)); + % anti-symmetric, or considers direction of edges + A = A-A'; + % Multiply with cotangent weights (don't worry about diagonal begin wrong + % since in A it's all zeros + L = cotmatrix(V,F); + K = L.*A; + % correct the diagonal (notice that the sign is positive + K = K + diag(sum(K,2)); + K = 0.5*K; + end + + function K = spokes_and_rims_linear_block(V,F,d) + % Computes a matrix K such that K * R computes + % ∑ -2*(cot(aij) + cot(bij) * (V(i,d)-V(j,d)) * (Ri + Rj) + + % -2*cot(aij) * (V(i,d)-V(j,d)) * Raij + + % -2*cot(bij) * (V(i,d)-V(j,d)) * Rbij + % j∈N(i) + % + % where: vj + % / | \ + % / | \ + % / | \ + % / | \ + % aij | bij + % \ | / + % \ | / + % \fij|gij/ + % \ | / + % vi + % + % Inputs: + % V #V by dim list of coordinates + % F #F by 3 list of triangle indices into V + % d index into columns of V + % Output: + % K #V by #F matrix + % + if simplex_size == 3 + % triangles + C = cotangent(V,F); + i1 = F(:,1); i2 = F(:,2); i3 = F(:,3); + I = [i1;i2;i2;i3;i3;i1;i1;i2;i3]; + J = [i2;i1;i3;i2;i1;i3;i1;i2;i3]; + v = [ ... + C(:,3).*(V(i1,d)-V(i2,d)) + C(:,2).*(V(i1,d)-V(i3,d)); ... + -C(:,3).*(V(i1,d)-V(i2,d)) + C(:,1).*(V(i2,d)-V(i3,d)); ... + C(:,1).*(V(i2,d)-V(i3,d)) + C(:,3).*(V(i2,d)-V(i1,d)); ... + -C(:,1).*(V(i2,d)-V(i3,d)) + C(:,2).*(V(i3,d)-V(i1,d)); ... + C(:,2).*(V(i3,d)-V(i1,d)) + C(:,1).*(V(i3,d)-V(i2,d)); ... + -C(:,2).*(V(i3,d)-V(i1,d)) + C(:,3).*(V(i1,d)-V(i2,d)); ... + ... % diagonal + C(:,3).*(V(i1,d)-V(i2,d)) - C(:,2).*(V(i3,d)-V(i1,d)); ... + C(:,1).*(V(i2,d)-V(i3,d)) - C(:,3).*(V(i1,d)-V(i2,d)); ... + C(:,2).*(V(i3,d)-V(i1,d)) - C(:,1).*(V(i2,d)-V(i3,d)); ... + ]; + % construct and divide by 3 so laplacian can be used as is + K = sparse(I,J,v,n,n)/3; + elseif simplex_size == 4 + % tetrahedra + assert(false) + end + end + + function K = elements_linear_block(V,F,d) + % Computes a matrix K such that K * R computes + % ∑ -2*cot(aij) * (V(i,d)-V(j,d)) * Raij + + % -2*cot(bij) * (V(i,d)-V(j,d)) * Rbij + % j∈N(i) + % + % where: vj + % / |\ + % / | \ + % aij | bij + % \ | / + % \ |/ + % vi + % + % Inputs: + % V #V by dim list of coordinates + % F #F by 3 list of triangle indices into V + % d index into columns of V + % Output: + % K #V by #F matrix + % + if simplex_size == 3 + % triangles, #T by 3 + C = cotangent(V,F); + i1 = F(:,1); i2 = F(:,2); i3 = F(:,3); + I = [i2;i3;i3;i1;i1;i2]; + J = repmat((1:m)',3*2,1); + v = [ ... + C(:,1).*(V(i2,d)-V(i3,d)); ... + -C(:,1).*(V(i2,d)-V(i3,d)); ... + C(:,2).*(V(i3,d)-V(i1,d)); ... + -C(:,2).*(V(i3,d)-V(i1,d)); ... + C(:,3).*(V(i1,d)-V(i2,d)); ... + -C(:,3).*(V(i1,d)-V(i2,d))]; + K = sparse(I,J,v,n,m); + elseif simplex_size == 4 + % tetrahedra, #T by 6 + C = cotangent(V,F); + i1 = F(:,1); i2 = F(:,2); i3 = F(:,3); i4 = F(:,4); + I = [i2;i3;i3;i1;i1;i2;i4;i1;i4;i2;i4;i3]; + J = repmat((1:m)',6*2,1); + v = [ ... + C(:,1).*(V(i2,d)-V(i3,d)); ... + -C(:,1).*(V(i2,d)-V(i3,d)); ... + C(:,2).*(V(i3,d)-V(i1,d)); ... + -C(:,2).*(V(i3,d)-V(i1,d)); ... + C(:,3).*(V(i1,d)-V(i2,d)); ... + -C(:,3).*(V(i1,d)-V(i2,d)); ... + C(:,4).*(V(i4,d)-V(i1,d)); ... + -C(:,4).*(V(i4,d)-V(i1,d)); ... + C(:,5).*(V(i4,d)-V(i2,d)); ... + -C(:,5).*(V(i4,d)-V(i2,d)); ... + C(:,6).*(V(i4,d)-V(i3,d)); ... + -C(:,6).*(V(i4,d)-V(i3,d))]; + K = sparse(I,J,v,n,m); + end + end + +end diff --git a/matlab/external/gptoolbox/mesh/arap_rhs.m b/matlab/external/gptoolbox/mesh/arap_rhs.m new file mode 100644 index 0000000..898a59f --- /dev/null +++ b/matlab/external/gptoolbox/mesh/arap_rhs.m @@ -0,0 +1,131 @@ +function [b,K] = arap_rhs(varargin) + % ARAP_RHS build right-hand side of global poisson solve for various ARAP + % energies. For examples see Sorkine and Alexa's ARAP (see equation 8 and 9): + % ∑ wij * 0.5 * (Ri + Rj) * (Vi - Vj) + % j∈N(i) + % + % b = arap_rhs(V,F,R) + % [b,K] = arap_rhs(V,F,R,'ParameterName',ParameterValue,...) + % + % Inputs: + % V #V by dim list of initial domain positions + % F #F by 3 list of triangle indices into V + % R dim by dim by #V list of rotations, if R is empty then b is set to [] + % Optional: + % 'Energy' + % followed by a string specifying which arap energy definition to use. + % One of the following: + % 'spokes' "As-rigid-as-possible Surface Modeling" by [Sorkine and + % Alexa 2007], rotations defined at vertices affecting incident + % edges, default + % 'elements' "A local-global approach to mesh parameterization" by + % [Liu et al. 2010] or "A simple geometric model for elastic + % deformation" by [Chao et al. 2010], rotations defined at + % elements (triangles or tets) + % 'spokes-and-rims' Adapted version of "As-rigid-as-possible Surface + % Modeling" by [Sorkine and Alexa 2007] presented in section 4.2 of + % or "A simple geometric model for elastic deformation" by [Chao et + % al. 2010], rotations defined at vertices affecting incident + % edges and opposite edges + % and only K is computed + % 'Dim' solve dimension {size(V,2)} + % Output: + % b #V by dim right hand side + % K #V*dim by #(F|V)*dim*dim matrix such that: + % b = K * reshape(permute(R,[3 1 2]),size(V,1)*size(V,2)*size(V,2),1); + % + + % default is Sorkine and Alexa style local rigidity energy + energy = 'spokes'; + V = varargin{1}; + F = varargin{2}; + R = varargin{3}; + % number of vertices + n = size(V,1); + % number of elements + m = size(F,1); + % simplex size + simplex_size = size(F,2); + assert(simplex_size == 3 || simplex_size == 4); + % number of dimensions + Vdim = size(V,2); + dim = Vdim; + + ii = 4; + while(ii <= nargin) + switch varargin{ii} + case 'Energy' + ii = ii + 1; + assert(ii<=nargin); + energy = varargin{ii}; + case 'Dim' + ii = ii + 1; + assert(ii<=nargin); + dim = varargin{ii}; + otherwise + error(['Unsupported parameter: ' varargin{ii}]); + end + ii = ii + 1; + end + + % number of rotations + switch energy + case 'spokes' + nr = size(V,1); + case 'spokes-and-rims' + nr = size(V,1); + case 'elements' + nr = size(F,1); + end + + KX = arap_linear_block(V,F,1,'Energy',energy); + KY = arap_linear_block(V,F,2,'Energy',energy); + Z = sparse(size(V,1),nr); + if Vdim == 2 + K = [ ... + KX Z KY Z; ... + Z KX Z KY]; + assert(dim == 2); + elseif Vdim == 3 + KZ = arap_linear_block(V,F,3,'Energy',energy); + K = [ ... + KX Z Z KY Z Z KZ Z Z ; ... + Z KX Z Z KY Z Z KZ Z]; + if dim == 3 + K = [K;Z Z KX Z Z KY Z Z KZ ]; + else + assert(dim == 2); + end + end + + if(~isempty(R)) + assert(dim == size(R,1)); + assert(dim == size(R,2)); + assert(nr == size(R,3)); + % collect rotations into a single column + Rcol = reshape(permute(R,[3 1 2]),nr*dim*dim,1); + b = K * Rcol; + b = reshape(b,[size(V,1) dim]); + else + b = []; + end + + % Notes on construction for 'spokes' energy + % + % Bi = ∑ wij * 0.5 * (Ri + Rj) * (Vi - Vj) + % j∈N(i) + % + % where Bi, Vi, and Vj are dim-length vectors, and Ri and Rj are + % dim by dim rotation matrices + % + % Bi' = ∑ wij * 0.5 * (Vi'-Vj') * (Ri' + Rj') + % j∈N(i) + % + % Bi(x) = ∑ wij * 0.5 * ∑ (Vi(y)-Vj(y)) * (Ri(x,y) + Rj(x,y)) + % j∈N(i) y∈dim + % + % Where Bi(x) is getting the xth coordinate of Bi and Ri(x,y) is getting the + % entry of Ri at row x and col y + % + +end diff --git a/matlab/external/gptoolbox/mesh/avgedge.m b/matlab/external/gptoolbox/mesh/avgedge.m new file mode 100644 index 0000000..c94c988 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/avgedge.m @@ -0,0 +1,25 @@ +function [ b ] = avgedge(V,F) + % AVGEDGE Compute the average of every edge in the mesh + % + % [ b ] = avgedge(V,F) + % + % Inputs: + % V #V x 3 matrix of vertex coordinates + % F #F x #simplex size list of simplex indices + % Outputs: + % b average edge length + % + % Note: boundary edges are weighted half as much as internal edges + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch), and Daniele Panozzo + % + + + % works on anything edges.m can handle + E = edges(F); + B = normrow(V(E(:,1),:)-V(E(:,2),:)); + + b = mean(B); + +end + diff --git a/matlab/external/gptoolbox/mesh/axisangle2matrix.m b/matlab/external/gptoolbox/mesh/axisangle2matrix.m new file mode 100644 index 0000000..06887b5 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/axisangle2matrix.m @@ -0,0 +1,44 @@ +function R = axisangle2matrix(w,a) + % AXISANGLE2MATRIX Conver axis angle rotations into corresponding rotation + % matrices + % + % R = axisangle2matrix(w,a) + % + % Inputs: + % w n by 3 list of axis vectors + % a n by 1 list of angles + % Output: + % R 3 by 3 by n array of rotation matrices + % + + % For now NaNs are not allowed + assert(~any(isnan(w(:)))); + assert(size(w,1) == size(a,1)); + n = size(w,1); + assert(size(w,2) == 3); + + + % build the rotation matrix + s = sin(a); + c = cos(a); + t = 1 - c; + + w = normalizerow(w); + + x = w(:,1); + y = w(:,2); + z = w(:,3); + R = zeros([3,3,n]); + R(1,1,:) = t.*x.*x + c; + R(2,1,:) = t.*y.*x + s.*z; + R(3,1,:) = t.*z.*x - s.*y; + + R(1,2,:) = t.*x.*y - s.*z; + R(2,2,:) = t.*y.*y + c; + R(3,2,:) = t.*z.*y + s.*x; + + R(1,3,:) = t.*x.*z + s.*y; + R(2,3,:) = t.*y.*z - s.*x; + R(3,3,:) = t.*z.*z + c; + +end diff --git a/matlab/external/gptoolbox/mesh/axisangle2quat.m b/matlab/external/gptoolbox/mesh/axisangle2quat.m new file mode 100644 index 0000000..02ec32e --- /dev/null +++ b/matlab/external/gptoolbox/mesh/axisangle2quat.m @@ -0,0 +1,21 @@ +function Q = axisangle2quat(W,TH) + % AXISANGLE2QUAT Convert axis angle representation of rotation to quaternion + % + % Q = axisangle2quat(W,TH) + % + % Inputs: + % W list of axes, #rotations by 3 + % TH list of angles, #rotations by 1 + % Outputs: + % Q list of rotations stored as quaternions, one for each control + % #rotations by 4 (1,i,j,k) + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % + + % See: + % http://en.wikipedia.org/wiki/Axis-angle_representation#Unit_Quaternions + Q = [cos(TH/2) W.*repmat(sin(TH/2),1,3)]; + Q = Q./repmat(sqrt(sum(Q.^2,2)),1,4); +end diff --git a/matlab/external/gptoolbox/mesh/axisanglebetween.m b/matlab/external/gptoolbox/mesh/axisanglebetween.m new file mode 100644 index 0000000..987838d --- /dev/null +++ b/matlab/external/gptoolbox/mesh/axisanglebetween.m @@ -0,0 +1,49 @@ +function [w,a] = axisanglebetween(u,v,nan_replacement) + % AXISANGLEBETWEEN compute the axis and angle representation of the rotation + % between two vectors + % + % [w,a] = axisanglebetween(u,v) + % [w,a] = axisanglebetween(u,v,nan_replacement) same as above but NaN rows + % resulting from angle exactly pi are replaced with nan_replacement + % + % Inputs: + % u n by dim list of row vectors + % v n by dim list of row vectors + % Optional: + % nan_replacement vector replacement for NaN rows in w + % Outputs: + % w n by 3 list of axis vectors, if dim = 2 then this is as if u v had 0s + % as z coordinates, NaNs may appear if angle is exactly pi + % a n by 1 list of angles + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + + assert(all(size(u) == size(v))); + dim = size(u,2); + assert((dim == 2) || (dim == 3)); + n = size(u,1); + + u = normalizerow(u); + v = normalizerow(v); + + if(dim == 2) + u = [u zeros(n,1)]; + v = [v zeros(n,1)]; + end + w = normalizerow(cross(u,v,2)); + if(exist('nan_replacement','var')) + assert(numel(nan_replacement) == 3); + nan_replacement = reshape(nan_replacement,1,3); + redo = any(isnan(w),2); + w(redo,:) = repmat(nan_replacement,[sum(redo) 1]); + end + %if(dim == 2) + % redo = any(isnan(w),2); + % % doesn't matter in 2D just use [0 0 1] + % w(redo,:) = repmat([0 0 1],[sum(redo) 1]); + %end + + a = acos(dot(u,v,2)); + a(normrow(u-v)==0) = 0; +end diff --git a/matlab/external/gptoolbox/mesh/bake_onto_vertices.m b/matlab/external/gptoolbox/mesh/bake_onto_vertices.m new file mode 100644 index 0000000..cec0fab --- /dev/null +++ b/matlab/external/gptoolbox/mesh/bake_onto_vertices.m @@ -0,0 +1,51 @@ +function Z = bake_onto_vertices(S,B,V,F) + % BAKE_ONTO_VERTICES "Bake" a continuous function S evaulated on a mesh (V,F) + % at barycentric coordinates B onto vertex values Z. Similar to "Least + % Squares Vertex Baking" [Kavan et al. 2011] + % + % Z = bake_onto_vertices(S,B,V,F) + % + % Inputs: + % S #S by 1 list of scalar values + % B #S by #V list of barycentric coordinates such that each row i has + % three nonzero entries hoding barycentric corridinates of the point at + % which S(i) is evaluated. + % V #V by dim list of mesh vertex positions + % F #F by 3 list of mesh triangle indices + % Outputs: + % Z #V by 1 list of vertex values. + % + + w_smooth = 1e-6; + w_data = 1-w_smooth; + + % number of mesh vertices + n = size(V,1); + + % Mass matrix + M = massmatrix(V,F,'voronoi'); + + % smoothness term + L = cotmatrix(V,F); + % normalize mass so that w_data and w_smooth are invariant + M = M./sum(M(:)); + Q_smooth = L'*(M\L); + l_smooth = zeros(n,1); + + % data term + I = speye(size(S,1))/size(S,1); + Q_data = B'*(I*B); + l_data = -2*B'*I*S; + + % combine energy + Q = w_data*Q_data + w_smooth*Q_smooth; + l = w_data*l_data + w_smooth*l_smooth; + + %Z = min_quad_with_fixed(Q,l,[],[]); + lx = zeros(n,1); + ux = ones(n,1); + %Z = min_quad_with_fixed_active_set(Q,l,[],[],[],[],[],[],lx,ux); + Z = quadprog(2*Q,l,[],[],[],[],lx,ux); + Z(Z>1) = 1; + Z(Z<0) = 0; +end diff --git a/matlab/external/gptoolbox/mesh/barycenter.m b/matlab/external/gptoolbox/mesh/barycenter.m new file mode 100644 index 0000000..c872edf --- /dev/null +++ b/matlab/external/gptoolbox/mesh/barycenter.m @@ -0,0 +1,21 @@ +function [ B ] = barycenter(V, F) + % BARYCENTER Compute the barycenter of every triangle + % + % B = barycenter(V,F) + % + % Inputs: + % V #V x dim matrix of vertex coordinates + % F #F x simplex_size matrix of indices of triangle corners + % Output: + % B a #F x dim matrix of 3d vertices + % + % See also: quadrature_points + % + + B = zeros(size(F,1),size(V,2)); + for ii = 1:size(F,2) + B = B + 1/size(F,2) * V(F(:,ii),:); + end + +end + diff --git a/matlab/external/gptoolbox/mesh/barycentric_coordinates.m b/matlab/external/gptoolbox/mesh/barycentric_coordinates.m new file mode 100644 index 0000000..1df511f --- /dev/null +++ b/matlab/external/gptoolbox/mesh/barycentric_coordinates.m @@ -0,0 +1,54 @@ +function B = barycentric_coordinates(P,varargin) + % BARYCENTRIC_COORDINATES Computes barycentric coordinates of point p in + % simplex (v1,v2,v3) + % + % B = barycentric_coordinates(P,V1,V2,V3, ...) + % + % Inputs: + % P #P by dim list of query point locations + % V1 #P by dim list of simplex corner locations + % V2 #P by dim list of simplex corner locations + % ... + % Outputs: + % B #P by dim+1 list of barycentric coordinates + % + + % SHOULD BE USING VARGIN TO ACCEPT ARBITRARY DIMENSION INPUT + for varg = varargin + assert(size(P,1) == size(varg{1},1), 'All inputs should be same length'); + assert(size(P,2) == size(varg{1},2), 'All inputs should be same dimension'); + end + + n = size(P,1); + switch numel(varargin) + case 4 + V1 = varargin{1}; + V2 = varargin{2}; + V3 = varargin{3}; + V4 = varargin{4}; + T = bsxfun(@plus,(1:n)',(0:3)*n); + A1 = volume([V2;V4;V3;P],T); + A2 = volume([V1;V3;V4;P],T); + A3 = volume([V1;V4;V2;P],T); + A4 = volume([V1;V2;V3;P],T); + A = volume([V1;V2;V3;V4],T); + if size(P,2)>3 && max(abs(sum([A1 A2 A3 A4],2)-A))>1e-14 + warning('Possibly negative coordinates. Not supported in dim~=3'); + end + B = bsxfun(@rdivide,[A1 A2 A3 A4],A); + case 3 + V1 = varargin{1}; + V2 = varargin{2}; + V3 = varargin{3}; + A1 = doublearea([ P;V2;V3],[1:n;n+[1:n;n+(1:n)]]'); + A2 = doublearea([V1; P;V3],[1:n;n+[1:n;n+(1:n)]]'); + A3 = doublearea([V1;V2; P],[1:n;n+[1:n;n+(1:n)]]'); + A = doublearea([V1;V2;V3],[1:n;n+[1:n;n+(1:n)]]'); + if size(P,2)>2 && max(abs(sum([A1 A2 A3],2)-A))>1e-14 + warning('Possibly negative coordinates. Not supported in dim~=2'); + end + B = bsxfun(@rdivide,[A1 A2 A3],A); + otherwise + error(sprintf('%d-simplices not supported',numel(varargin))); + end +end diff --git a/matlab/external/gptoolbox/mesh/betti.m b/matlab/external/gptoolbox/mesh/betti.m new file mode 100644 index 0000000..1f3f89c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/betti.m @@ -0,0 +1,130 @@ +function b1 = betti(F,varargin) + % BETTI Comput the first betti number of simplicial mesh + % All of the implemented methods are slow. The smith-normal-form seems like + % the robust thing to do, but is cubic in the size of the mesh. Perhaps + % preprocessing with topology preserving edge-(facet?)-collapses would + % drastically reduce run-time. + % + % b1 = betti(F) + % b1 = betti(F,'ParameterName',ParameterValue,...) + % + % Inputs: + % F #F by simplex-size mesh indexing some vertex set + % Optional: + % 'Method' followed by one of the following: + % 'smith-normal-form' robust implementation using mod 2 integer + % arithmatic (actually logicals and XOR for performance). Correct + % (robust), slow. + % 'rank' Sparse rank computation on boundary map (incidence matrices) + % 'full-rank' Full rank 〃 + % 'qr' Use qr to compute rank + % {'eigenanalysis'} Find number of zeros in eigenvalues of discrete + % Laplacian. + % Outputs: + % b1 first betti number (number of loops) + % + % + + % default values + method = 'eigenanalysis'; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Method'}, ... + {'method'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + n = max(F(:)); + + % For MANIFOLD! triangle meshes this should just use Euler formula like + % `statistics.m` does. + + % There seems to be two competing views on the "boundary map" or incidence + % matrix: whether it is oriented (directed) or not: + % + % Undirected: + % https://www.cs.duke.edu/courses/fall06/cps296.1/Lectures/sec-IV-3.pdf + % + % Directed: + % http://comptop.stanford.edu/u/programs/plex/plexintro.pdf + % + % Q: Is the Smith Normal Form computation in intergers modulo 2 effectively + % treating these incidence matrices as signed (directed)? + + E = [F(:,[2 3]); F(:,[3 1]); F(:,[1 2])]; + [sE,sJ] = sort(E,2); + [uE,IA,EMAP] = unique(sE,'rows'); + + + switch method + case 'smith-normal-form' + % Undirected: + % https://www.cs.duke.edu/courses/fall06/cps296.1/Lectures/sec-IV-3.pdf + % boundary matrices + D1 = sparse( uE,repmat(1:size(uE,1),2,1)',1,n,size(uE,1)); + D2 = sparse(EMAP,repmat(1:size(F,1),3,1)',1,size(uE,1),size(F,1)); + S1 = snf(D1); + [rB0,~] = find(S1,1,'last'); + rZ1 = size(S1,2) - rB0; + S2 = snf(D2); + [rB1,~] = find(S2,1,'last'); + b1 = rZ1 - rB1; + case {'eigenanalysis','rank','full-rank','qr'} + % Directed: + % sJ reveals whether edge was flipped from E to sE (and thus also uE) + D1 = sparse( uE,repmat(1:size(uE,1),2,1)',repmat([-1 1],size(uE,1),1),n,size(uE,1)); + D2 = sparse(EMAP,repmat(1:size(F,1),3,1)',sJ(:,1)*2-3,size(uE,1),size(F,1)); + + switch method + case {'rank','full-rank','qr'} + switch method + case 'rank' + dB0 = find(spnull(D1'),1,'last'); + dB1 = find(spnull(D2),1,'last'); + % somehow this is not finding same rank as rank(full())... off by + % one... + dB0 = dB0-1; + dB1 = dB1-1; + case 'full-rank' + dB0 = rank(full(D1)); + dB1 = rank(full(D2)); + case 'qr' + % Q: Is rank(S1) just rank(D1)-1 ? + % Seems to be as easy as: + [Q,R,E] = qr(D1'); + [~,dB0] = find(R',1,'last'); + [Q,R,E] = qr(D2'); + [~,dB1] = find(R',1,'last'); + end + dZ1 = size(uE,1)-dB0; + b1 = dZ1 - dB1; + case 'eigenanalysis' + % http://comptop.stanford.edu/u/programs/plex/plexintro.pdf + % "discrete Laplacian" + L1 = D1'*D1 + D2*D2'; + k = min(10,size(uE,1)-1); + while true + [EV,ED] = eigs(-L1,k,'sm'); + b1 = sum(diag(abs(ED))3 + Qi = (Qi + Qi')*0.5; + end + Qi = Qi + Lsp; + Q = sparse(m*n,m*n); + % Q is sparse matrix with Qi along diagonal + for ii = 1:m + d = (ii - 1)*n + 1; + Q(d:(d + n-1), d:(d + n-1)) = Qi; + end + % linear constraints: partition of unity constraints and boundary + % conditions + PA = repmat(speye(n,n),1,m); + Pb = ones(n,1); + % boundary conditions + BCAi = speye(n,n); + BCAi = BCAi(b,:); + BCA = sparse(m*size(BCAi,1),m*size(BCAi,2)); + % BCA is sparse matrix with BCAi along diagonal + for ii = 1:m + di = (ii - 1)*size(BCAi,1) + 1; + dj = (ii - 1)*size(BCAi,2) + 1; + BCA(di:(di + size(BCAi,1)-1), dj:(dj + size(BCAi,2)-1)) = BCAi; + end + BCb = bc(:); + % set bounds + ux = up.*ones(m*n,1); + lx = low.*ones(m*n,1); + if(mosek_exists) + fprintf('Quadratic optimization using mosek...\n'); + else + fprintf('Quadratic optimization using matlab...\n'); + end + fprintf( [ ... + ' minimize: x''LM\\Lx\n' ... + 'subject to: %g <= x <= %g, ???_i xi = 1\n'], ... + low,up); + tic; + W = quadprog(Q,zeros(n*m,1),[],[],[PA;BCA],[Pb;BCb],lx,ux,[],param); + toc + W = reshape(W,n,m); + else + error( [ ... + 'Enforcing partition of unity only support in conjunction with ' ... + 'opt_type=''quad''']); + end + else + % Drop partition of unity constraints, solve for weights of each handle + % independently then normalize to enforce partition of unity + switch opt_type + case {'quad','active-set'} + % build quadratic coefficient matrix (bilaplacian operator) + Q = -L; + for ii = 2:k + Q = -L*(M\Q); + end + if k>=3 + Q = (Q + Q')*0.5; + end + Q = Q + Lsp; + % set bounds + ux = up.*ones(n,1); + lx = low.*ones(n,1); + case 'least-squares' + % solve same problem but as least-squares problem see mosek documention + % for details + I = speye(n); + Z = sparse(n,n); + Q = [Z,Z;Z,I]; + assert(k == 2); + F = [sqrt(M)\L;G]; + c = zeros(n,1); + B = [F,-I]; + ux = [up.*ones(n,1) ; Inf*ones(n,1)]; + lx = [low.*ones(n,1); -Inf*ones(n,1)]; + case 'conic' + % solve same problem but as conic problem see mosek documention for + % details + % + % Variable names are consistent with mosek doc 7.9.1: + % [x z t] + assert(k==2); + F = sqrt(M)\L; + prob.c = [zeros(2*n,1); 1]; + I = speye(n); + prob.a = [F,-I,zeros(n,1)]; + prob.blc = zeros(n,1); + prob.buc = zeros(n,1); + prob.bux = [ up.*ones(n,1); Inf*ones(n,1); Inf]; + prob.blx = [ low.*ones(n,1); -Inf*ones(n,1); 0]; + prob.cones = cell(1,1); + prob.cones{1}.type = 'MSK_CT_QUAD'; + t_index = 2*n +1; + z_indices = (n+1):(2*n); + prob.cones{1}.sub = [t_index z_indices]; + otherwise + error('Bad opt_type'); + end + + % number of handles + m = size(bc,2); + % allocate space for weights + W = zeros(n,m); + tic; + if strcmp(opt_type,'active-set') + if isempty(W0) + fprintf('Initial guess for active set...\n'); + W = min_quad_with_fixed(Q,[],b,bc); + fprintf('Lap time: %gs\n',toc); + else + W = W0; + end + end + % loop over handles + for i = 1:m + switch opt_type + case 'active-set' + fprintf('Quadratic optimization using active set...\n'); + fprintf( [ ... + ' minimize: x''LM\\Lx\n' ... + 'subject to: %g <= x <= %g\n' ], ... + low,up); + AS = []; + AS.Z0 = W(:,i); + x = min_quad_with_fixed_active_set(Q,[],b,bc(:,i),[],[],[],[],lx,ux,AS); + case 'quad' + % enforce boundary conditions via lower and upper bounds + %lx(b) = bc(:,i); + %ux(b) = bc(:,i); + Aeq = speye(n,n); + Aeq = Aeq(b,:); + if(mosek_exists) + fprintf('Quadratic optimization using mosek...\n'); + else + fprintf('Quadratic optimization using matlab...\n'); + end + fprintf( [ ... + ' minimize: x''LM\\Lx\n' ... + 'subject to: %g <= x <= %g\n' ], ... + low,up); + % if mosek is not available, then matlab will complain that sparse + % matrices are not yet supported... + [x,fval,err] = quadprog(Q,zeros(n,1),[],[],Aeq,bc(:,i),lx,ux,[],param); + if(err ~= 1) + fprintf([... + '----------------------------------------------------------\n' ... + 'ERROR (' num2str(err) ',' num2str(fval) '):' ... + ' solution may be inaccurate...\n' ... + '----------------------------------------------------------\n' ... + ]); + end + + prob = []; + [prob.qosubi,prob.qosubj,prob.qoval] = find(tril(Q)); + prob.c = zeros(n,1); + prob.a = sparse(0,n); + prob.blc = sparse(0,1); + prob.buc = sparse(0,1); + prob.blx = lx; + prob.bux = ux; + % Enforce fixed values + prob.bux(b) = bc(:,i); + prob.blx(b) = bc(:,i); + quiet = ''; + fprintf('Quadratic optimization using mosek...\n'); + [r,res]=mosekopt(['minimize' quiet],prob,param); + report_mosek_error(r,res); + + case 'least-squares' + % enforce boundary conditions via lower and upper bounds + lx(b) = bc(:,i); + ux(b) = bc(:,i); + fprintf('Quadratic optimization using mosek...\n'); + fprintf([ ... + ' minimize: z''z\n' ... + ' subject to: M\\Lx - z = 0\n' ... + ' and %g <= x <= %g\n'], ... + low,up); + x = quadprog(Q,zeros(2*n,1),[],[],B,c,lx,ux,[],param); + case 'conic' + prob.bux(b) = bc(:,i); + prob.blx(b) = bc(:,i); + fprintf('Conic optimization using mosek...\n'); + fprintf([ ... + ' minimize: t\n' ... + ' subject to: M\\Lx - z = 0,\n' ... + ' t >= sqrt(z''z),\n' ... + ' %f <= x <= %f\n'], ... + low,up); + [r,res]=mosekopt('minimize echo(0)',prob,param); + % check for mosek error + switch r + case 4006 + warning(['MOSEK ERROR. rcode: ' ... + num2str(res.rcode) ' ' ... + res.rcodestr ' ' ... + res.rmsg ... + 'The solution is probably OK, but ' ... + 'to make this error go away, increase: ' ... + 'MSK_DPAR_INTPNT_CO_TOL_REL_GAP' ... + n]); + case 10006 + warning(['MOSEK ERROR. rcode: ' ... + num2str(res.rcode) ' ' ... + res.rcodestr ' ' ... + res.rmsg ... + 'The solution is probably OK, but ' ... + 'to make this error go away, decrease: ' ... + 'MSK_DPAR_INTPNT_CO_TOL_REL_GAP' ... + n]); + otherwise + if r ~= 0 + error(['FATAL MOSEK ERROR. rcode: ' ... + num2str(res.rcode) ' ' ... + res.rcodestr ' ' ... + res.rmsg]); + end + end + % extract solution from result + x = res.sol.itr.xx; + end + % set weights to solution in weight matrix + W(:,i) = x(1:n); + fprintf('Lap time: %gs\n',toc); + end + t = toc; + fprintf('Total elapsed time: %gs\n',t); + fprintf('Average time per handle: %gs\n',t/m); + end + +end diff --git a/matlab/external/gptoolbox/mesh/biharmonic_coordinates.m b/matlab/external/gptoolbox/mesh/biharmonic_coordinates.m new file mode 100644 index 0000000..e3b617c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/biharmonic_coordinates.m @@ -0,0 +1,30 @@ +function W = biharmonic_coordinates(V,Ele,b) + % BIHARMONIC_COORDINATES Compute the linearly precise generalized + % coordinates as described in "Linear Subspace Design for Real-Time Shape + % Deformation" [Wang et al. 2015] **not** to be confused with "Bounded + % Biharmonic Weights ..." [Jacobson et al. 2011] or "Biharmonic Coordinates" + % [Weber et al. 12]. + % + % W = biharmonic_coordinates(V,Ele,b) + % + % Inputs: + % V #V by dim list of vertex positions + % Ele #Ele by dim+1 list of simplicial element indices into V + % b #b list of indices into V of control points + % Outputs: + % W #V by #b list of coordinates + % + L = cotmatrix(V,Ele); + [DD,TE] = normal_derivative(V,Ele); + AT = sparse( ... + TE(:), ... + repmat(1:size(TE,1),1,size(TE,2))', ... + 1,size(V,1),size(TE,1)); + [~,C] = on_boundary(Ele); + DD(~C,:) = 0; + N = (0.5*AT*DD); + K = L + N; + M = massmatrix(V,Ele); + A = K' * (M\K); + W = min_quad_with_fixed(A,[],b,eye(numel(b))); +end diff --git a/matlab/external/gptoolbox/mesh/biharmonic_distance.m b/matlab/external/gptoolbox/mesh/biharmonic_distance.m new file mode 100644 index 0000000..527496a --- /dev/null +++ b/matlab/external/gptoolbox/mesh/biharmonic_distance.m @@ -0,0 +1,44 @@ +function [D] = biharmonic_distance(V,F,i,dim,p) + % BIHARMONIC_DISTANCE Takes a mesh (V,F) and returns a distance field D from + % all points in V to the ith vertex, according to the biharmonic embedding + % + % [D] = biharmonic_distance(V,F,i,dim) + % [D] = biharmonic_distance(V,F,i,dim,p) + % + % Input: + % V #V by dim list of vertex positions + % F #F by 3 list of triangle indices + % i index of vertex from which to calculate distances + % dim requested dimension of the embedding + % Optional: + % p exponent above eigen values + % 0.5 "semi-harmonic" embedding + % 1 commute time embedding, "harmonic" + % 2 biharmonic {default} + % 3 "triharmonic" embedding + % Output: + % D biharmonic distance field + % + + % if index not given then use n/2th point + if(~exist('i','var')) + i = ceil(size(V,1)/2 + sqrt(size(V,1))/2); + end + + % if dimension is not specfied use 4 + if(~exist('dim','var')) + dim = 4; + end + + % if power is not specfied use 2 + if(~exist('p','var')) + p = 2; + end + + B = biharmonic_embedding(V,F,dim,p); + %B = biharmonic_embedding_yaron(V,F); + D = sqrt(sum((repmat(B(i,:),size(B,1),1)-B(:,:)).^2,2)); + + %tsurf(F,[V(:,1) V(:,2) D]); + +end diff --git a/matlab/external/gptoolbox/mesh/biharmonic_embedding.m b/matlab/external/gptoolbox/mesh/biharmonic_embedding.m new file mode 100644 index 0000000..c6f9c40 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/biharmonic_embedding.m @@ -0,0 +1,58 @@ +function [B,EV,ED] = biharmonic_embedding(V,F,dim,p); + % [B,EV,ED] = biharmonic_embedding(V,F); + % + % Takes a mesh (V,F) and returns an embedding using the spectrum of the + % biharmonic operator. Then the biharmonic distance between two points i and + % j can be computed as the euclidean distance between B(i,:) and B(j,:), + % namely: + % dist_ij = sqrt(sum((B(i,:)-B(j,:)).^2,2)); + % + % Input: + % V vertex list + % F face list + % dim requested dimension of the embedding + % Optional: + % p exponent above eigen values + % 0.5 "semi-harmonic" embedding + % 1 commute time embedding, "harmonic" + % 2 biharmonic {default} + % 3 "triharmonic" embedding + % Output: + % B biharmonic embedding + % EV eigenvectors used in embedding + % ED eigenvalues used in embedding + % + + % if dimension is not specfied use 4 + if(~exist('dim','var')) + dim = 4; + end + + if(~exist('p','var')) + p = 2; + end + + % get cotangent matrix + L = cotmatrix(V,F); + % This should be better, but yaron seemed to use barycentric + %M = massmatrix(V,F); + M = massmatrix(V,F,'barycentric'); + + % get dim+1 smallest magnitude eigenvalues and corresponding vectors + [EV,ED] = eigs(L,M,dim+1,'sm'); + EV = EV(:, 2:end); + ED = ED(2:end, 2:end); + + % This is not exactly the same, essentially it removes the mass matrix and + % multiplies everything by a factos of -2 + % % This also works, because of the sign change in the eigenvalues matlab + % % reverses the output order so 0.0 is the last eigenvalue + % [EV,ED] = eigs(-2*L,M./sum(M(:)),dim+1,'sm'); + % EV = EV(:, 1:end-1); + % ED = ED(1:end-1, 1:end-1); + + % divide each eigenvector by corresponding eigenvalue + % divide the power by 2 first because it will appear in the denominator of + % distance computation *outside* the squared difference see (4) and (11) + B = EV * (inv(abs(ED))^(p/2)); +end diff --git a/matlab/external/gptoolbox/mesh/bone_heat.m b/matlab/external/gptoolbox/mesh/bone_heat.m new file mode 100644 index 0000000..865bbd5 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/bone_heat.m @@ -0,0 +1,198 @@ +function [W,PP] = bone_heat(V,F,C,P,BE,CE) + % BONE_HEAT computes "bone heat" weights from "Automatic Rigging and + % Animation of 3D Characters" by Baran and Popovic. + % + % W = bone_heat(V,F,C,P,BE,CE) + % + % Inputs: + % V list of vertex positions + % F list of face indices, for 3D F is #F by 4, for 2D F is #F by 3 + % C list of control vertex positions + % P list of indices into C for point controls, { 1:size(C,1) } + % BE list of bones, pairs of indices into C, connecting control vertices, + % { [] } + % CE list of "cage edges", pairs of indices into ***P***, connecting + % control ***points***. A "cage edge" just tells point boundary conditions + % to vary linearly along straight lines between the end points, and to be + % zero for all other handles. { [] } + % + % Outputs: + % W weights, # vertices by # handles matrix of weights + % + % + + assert(isempty(P) || (prod(size(P)) == max(size(P)))); + % E should be empty or be #bones by 2 list of indices + assert( isempty(BE) || (size(BE,2) == 2)); + assert( isempty(CE) || (size(CE,2) == 2)); + + nce = size(CE,1); + % number of mesh vertices + n = size(V, 1); + % number of point controls + np = numel(P); + % number of bone edges + nb = size(BE,1); + m = np+nb; + + % determine if we can use accelerated visibility test + if 3==exist('bone_visible_embree','file') + bone_visible_func = @bone_visible_embree; + else + bone_visible_func = @bone_visible; + warning('Using non accelerated visibility test'); + end + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % + % DETECTING VISIBILITY IS BY FAR THE BOTTLENECK: 99% of time is spent in + % point_visible and bone_visible + % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + % build visibility mask, vis_mask, so that vis_mask(j,i) says whether shortest + % line segment from handle i to mesh vertex j is inside mesh + vis_mask = true(n,m); + % build cage edge visibility mask, same as above but for the cage edges + CE_vis_mask = true(n,nce); + + tic; + % build distance vector, D, so that D(j,i) is the length of the shortest line + % segment from handle i to mesh vertex j + D = zeros(n,m); + % collect point distances and visibility + for ii = 1:np + fprintf('Point %d out of %d\n',ii,np); + D(:,ii) = sqrt(sum((V - repmat(C(P(ii),:),[n 1])).^2,2)); + vis_mask(:,ii) = point_visible(V,F,C(P(ii),:)); + toc; + end + + TCE = zeros(n,nce); + DCE = zeros(n,nce); + % collect cage edge distances and visibility + for ii = 1:nce + fprintf('Cage edge %d out of %d\n',ii,nce); + % source point + ps = C(P(CE(ii,1)),:); + % dest point + pd = C(P(CE(ii,2)),:); + % project to lines + [t,sqr_d] = project_to_lines(V,ps,pd); + % snap to end points + sqr_d(t<0) = 1e16; + %sum((V(t<0,:) - repmat(C(P(CE(ii,1)),:),[size(V(t<0,:),1) 1])).^2,2); + sqr_d(t>1) = 1e16; + %sum((V(t>1,:) - repmat(C(P(CE(ii,1)),:),[size(V(t>1,:),1) 1])).^2,2); + TCE(:,ii) = t; + DCE(:,ii) = sqrt(sqr_d); + CE_vis_mask(:,ii) = bone_visible_func(V,F,ps,pd); + toc; + end + + % collect bone distances and visibility + for ii = 1:nb + fprintf('Bone %d out of %d\n',ii,nb); + % source point + ps = C(BE(ii,1),:); + % dest point + pd = C(BE(ii,2),:); + % project to lines + [t,sqr_d] = project_to_lines(V,ps,pd); + % snap to end points + sqr_d(t<0) = ... + sum((V(t<0,:) - repmat(C(BE(ii,1),:),[size(V(t<0,:),1) 1])).^2,2); + sqr_d(t>1) = ... + sum((V(t>1,:) - repmat(C(BE(ii,2),:),[size(V(t>1,:),1) 1])).^2,2); + D(:,ii+np) = sqrt(sqr_d); + vis_mask(:,ii) = bone_visible_func(V,F,ps,pd); + toc; + end + + % build matrix PP, so that PP(j,i) is 1 if D(j,i) < D(j,k) any k ??? i + % unless cage edges exist then if D(j,ce(i)) is smallest then PP(j,ce(i,1) + % and PP(j,ce(i,2) get 1-t and t respectively, t being the projection onto + % the cage edge vector + [minD,closest] = min([D DCE],[],2); + % if cage edge was closest then we'll deal with that later + indices = 1:n; + % separate indices into those whose closest "handle" is a point or bone and + % those whose closest "handles" is a cage edge + indices_PB = indices(closest<=m); + indices_CE = indices(closest>m); + + % list closest points/bones corresponding to mesh vertices whose closest + % "handle" is a point/bone + closest_PB = closest(closest<=m); + % list closest cage edges corresponding to mesh vertices whose closest + % "handle" is a cage edge + closest_CE = closest(closest>m) - m; + + % point/bone contribution to PP + PP_PB = sparse(indices_PB,closest_PB,1,n,m); + + if(isempty(CE)) + % no cages then only contribution is from points/bones + PP = PP_PB; + else + % For points whose closest "handle" is a cage edge find their projection + % onto that cage edge + t = TCE(sub2ind(size(TCE),indices_CE,closest_CE')); + % Cage edge contribution to PP + PP_CE = sparse( ... + [indices_CE indices_CE], ... + [CE(closest_CE,1)' CE(closest_CE,2)'], ... + [1-t t], ... + n, ... + m); + % combine with points/bone contribution + PP = PP_PB + PP_CE; + end + + % build diagonal H matrix so that H(j,j) is 1/min(D(j,:),2))^2 if vis_mask(j,i) + % otherwise 0 + closest_visible = true(n,1); + % points/bones visibility, 1 if closest "handle" (point/bone) is visible + closest_visible(indices_PB) = ... + vis_mask(sub2ind(size(vis_mask),(indices_PB)',closest_PB)); + if(~isempty(CE)) + % cage edge visibility, 1 if closest "handle" (cage edge) is visible + closest_visible(indices_CE) = ... + CE_vis_mask(sub2ind(size(CE_vis_mask),(indices_CE)',closest_CE)); + end + + %only_boundary = false; + %if dim == 2 && only_boundary + % % only use visibility info along outline + %end + + H = sparse( ... + 1:n, ... + 1:n, ... + (minD.^-2) .* closest_visible); + % max-out min distances to avoid infs + H = diag(min(diag(H),1e10)); + + % build laplacian matrix + L = cotmatrix(V,F); + % build mass matrix + M = massmatrix(V,F,'voronoi'); + % make sure all rows are non-zero + assert(all(sum(abs(M),2)~=0)) + % discrete laplace beltrami operator + K = 0.5*(L); + + %% prefactor (-K+H) using lu decomposition, should be able to use cholesky... + %[pfL,pfU,pfP,pfQ,pfR] = lu(-K+H); + + %W = zeros(n,m); + %% loop over handles + %for ii = 1:m + % % solve (-L+H) wi = H * PP(:,i) + % rhs = H * PP(:,ii); + % %W(:,ii) = pfQ*(pfU\(pfL\(pfP*(pfR\rhs)))); + % W(:,ii) = (-K+H)\rhs; + %end + W = (-K+M*H)\(M*H*full(PP)); + +end diff --git a/matlab/external/gptoolbox/mesh/bone_parents.m b/matlab/external/gptoolbox/mesh/bone_parents.m new file mode 100644 index 0000000..7ca4dc2 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/bone_parents.m @@ -0,0 +1,22 @@ +function P = bone_parents(BE) + % BONE_PARENTS Find parents in bone + % + % P = bone_parents(BE) + % + % Inputs: + % BE #BE by 2 list of **directed** bone edge indices + % Outputs: + % P #BE list of parent indices into BE (0 means root) + % + % + + %BE = sortrows(BE); + % 0 if not dest otherwise index in list + index_map = zeros(max(BE(:)),1); + index_map(BE(:,2)) = 1:size(BE,1); + roots = setdiff(BE(:,1),BE(:,2)); + % add roots to index map + index_map(roots) = 0;%size(BE,1)+(1:numel(roots)); + % parents after adding roots + P = index_map(BE(:,1)); +end diff --git a/matlab/external/gptoolbox/mesh/bone_visible.m b/matlab/external/gptoolbox/mesh/bone_visible.m new file mode 100644 index 0000000..8b63f5a --- /dev/null +++ b/matlab/external/gptoolbox/mesh/bone_visible.m @@ -0,0 +1,77 @@ +function [flag] = bone_visible(V,F,s,d); + % BONE_VISIBLE test whether vertices of mesh are visible to a set of "bones" + % aka line segments. Here visibility is defined as [Baran and Popovic 2007] + % defined it. A point q on the mesh is seen by bone [s,d] if the line segment + % between q and the projection of q on [s,d] is entirely inside the mesh. + % + % [flag] = bone_visible(V,F,s,d); + % + % Input: + % V #V by 3 list of vertex positions + % F #F by 3 list of triangle indices + % s row vector of position of start end point of bone + % d row vector of position of dest end point of bone + % Output: + % flag #V by 1 list of bools (true) visible, (false) obstructed + % + + + dim = size(V,2); + assert(size(s,2) == dim); + assert(size(d,2) == dim); + assert(size(F,2) == 3); + if dim == 3 && 3==exist('bone_visible_embree','file') + bone_visible_embree(V,F,s,d); + return; + elseif dim == 3 && 3==exist('bone_visible_embree','file') + warning('Using non accelerated visibility test'); + bone_visible_mex(V,F,s,d); + return; + else + warning('Using non accelerated, super slow pur matlab visibility test'); + + % number of mesh vertices + nv = size(V,1); + + if dim == 2 + % get polygon edges of outline of 2D mesh + O = outline(F); + end + + flag = zeros(nv,1); + % loop over mesh vertices + for jj = 1:nv + progressbar(jj,nv); + % query point, can o see q ? + vjj = V(jj,:); + % project to line segment to find "closest origin" of bone + t = project_to_lines(vjj,s,d); + % snap to line segment + t = min(max(t,0),1); + % lerp to get position on line segment + o = (1-t).*s+t.*d; + dir = vjj-o; + if dim == 3 + % extract triangles not containing jj + Fmjj = F( all(F~=jj,2),:); + %Fmjj = F; + % shoot ray from o to q and see if any triangles not containing query get + % hit + [hit,t] = ray_mesh_intersect(o,dir,V,Fmjj); + elseif dim == 2 + Omjj = O( all(O~=jj,2),:); + [hit,t] = ray_polygon_intersect(o,dir,V,Omjj); + else + error('Bad dimension'); + end + %vjj-o + %hitF = 0; + %hitF(all(F~=jj,2),:) = hit; + %meshplot(V,F,'FC',repmat(hitF,1,3)) + %meshplot(V,F,'FC',repmat(hit,1,3)) + dir_mag = sqrt(sum(dir.^2,2)); + flag(jj) = ~any(t(hit) < dir_mag); + end + end + +end diff --git a/matlab/external/gptoolbox/mesh/boundary_conditions.m b/matlab/external/gptoolbox/mesh/boundary_conditions.m new file mode 100644 index 0000000..ac9fc39 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/boundary_conditions.m @@ -0,0 +1,155 @@ +function [b,bc] = boundary_conditions(V,F,C,P,E,CE) + % BOUNDARY_CONDITIONS + % Compute boundary and boundary conditions for solving for correspondences + % weights over a set of mesh (V,F) with control points C(p,:) and control + % bones C(E(:,1),:) --> C(E(:,2),:) + % + % [b,bc] = boundary_conditions(V,F,C,P,E,CE) + % + % % same as [b,bc] = boundary_conditions(V,F,C,1:size(C,1),[]) + % [b,bc] = boundary_conditions(V,F,C) + % + % Inputs: + % V list of vertex positions + % F list of face indices (not being used...) + % C list of control vertex positions + % P list of indices into C for point controls, { 1:size(C,1) } + % E list of bones, pairs of indices into C, connecting control vertices, + % { [] } + % CE list of "cage edges", pairs of indices into ***P***, connecting + % control ***points***. A "cage edge" just tells point boundary conditions + % to vary linearly along straight lines between the end points, and to be + % zero for all other handles. { [] } + % Outputs + % b list of boundary vertices + % bc list of boundary conditions, size(boundary) by # handles matrix of + % boundary conditions where bc(:,i) are the boundary conditions for the + % ith handle ( handle order is point handles then edges handles: P,E) + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also: biharmonic_bounded + % + + % control vertices and domain should live in same dimensions + assert(size(C,2) == size(V,2),'Dims of V and C should match'); + % number o dimensions + dim = size(C,2); + + % set point handle indices and arrange to be column vector + if(exist('P','var')) + if(size(P,1) == 1) + P = P'; + end + else + % if point handles weren't given then treat all control vertices as point + % handles + P = (1:size(C,1))'; + end + + % set default edge list to [] + if(~exist('E','var')) + E = []; + end + + % set default cage edge list to [] + if(~exist('CE','var')) + CE = []; + end + + % P should be either empty or a column vector + assert(isempty(P) || (size(P,2) == 1)); + % E should be empty or be #bones by 2 list of indices + assert( isempty(E) || (size(E,2) == 2)); + + + % number of point controls + np = numel(P); + % number of bone controls + ne = size(E,1); + % number of control handles + m = np + ne; + % number of mesh vertices + n = size(V, 1); + + % number of control vertices + c = size(C,1); + + if size(C,1) < 100 + %% compute distance from every vertex in the mesh to every control vertex + % use distances to determine closest mesh vertex to each control vertex + D = pdist2(V,C); + % Cv(i) is closest vertex in V to ith control vertex in C + [minD,Cv] = min(D); + else + % Hmmm, this is actually slower for a smaller number of handles + Cv = knnsearch(V,C,'K',1); + end + + % if number of unique closest mesh vertices is less than total number, then + % we have contradictory boundary conditions + if(~all(size(unique(Cv)) == size(Cv))) + warning('Multiple control vertices snapped to the same domain vertex'); + end + + % boundary conditions for all vertices NaN means no boundary conditions + bc = repmat(NaN,[n m]); + + % compute boundary conditions for point handles + if( ~isempty(P) ) + bc(Cv(P),:) = eye(np,m); + end + + sqr_d_tol = 1e-6; + + + % Compute boundary conditions for bone edge handles + if(~isempty(E)) + + % average edges length to give an idea of "is on edge" tolerance + h = avgedge(V,F); + % loop over bones + for( ii = 1:size(E,1) ) + [t,sqr_d] = project_to_lines(V,V(Cv(E(ii,1)),:),V(Cv(E(ii,2)),:)); + on_edge = ((abs(sqr_d) < h*sqr_d_tol) & ((t > -1e-10) & (t < (1+1e-10)))); + % get rid of any NaNs on these rows + % WARNING: any (erroneous) point handle boundary conditions will get + % "normalized" with bone boundary conditions + old = bc(on_edge,:); + old(isnan(old)) = 0; + bc(on_edge,:) = old; + %bc(on_edge,:) = isnan(bc(on_edge,:)).*0 + ~isnan(bc(on_edge,:)).*bc(on_edge,:); + bc(on_edge,np+ii) = 1; + end + end + + % compute boundary conditions due to cage edges + if(~isempty(CE)) + + % loop over cage edges + for( ii = 1:size(CE,1) ) + [t,sqr_d] = project_to_lines(V,V(Cv(P(CE(ii,1))),:),V(Cv(P(CE(ii,2))),:)); + h = avgedge(V,F); + on_edge = ((abs(sqr_d) < h*sqr_d_tol) & ((t > -1e-10) & (t < (1+1e-10)))); + % get rid of any NaNs on these rows + % WARNING: clobbers any (erroneous) point handle boundary conditions on + % points that are on bones) + old = bc(on_edge,:); + old(isnan(old)) = 0; + bc(on_edge,:) = old; + bc(on_edge,CE(ii,1)) = 1 - t(on_edge); + bc(on_edge,CE(ii,2)) = t(on_edge); + end + + end + + indices = 1:n; + % boundary is only those vertices corresponding to rows with at least one non + % NaN entry + b = indices(any(~isnan(bc),2)); + bc = bc(b,:); + % replace NaNs with zeros + bc(isnan(bc)) = 0; + % Be sure that any boundary conditions partition unity + bc(any(bc,2),:) = bc(any(bc,2),:) ./ repmat(sum(bc(any(bc,2),:),2),1,size(bc,2)); +end diff --git a/matlab/external/gptoolbox/mesh/boundary_faces.m b/matlab/external/gptoolbox/mesh/boundary_faces.m new file mode 100644 index 0000000..3c04355 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/boundary_faces.m @@ -0,0 +1,35 @@ +function [F,J,K] = boundary_faces(T) + % BOUNDARY_FACES Determine boundary faces of tetrahedra stored in T + % + % F = boundary_faces(T) + % + % Input: + % T tetrahedron index list, m by 4, where m is the number of tetrahedra + % Output: + % F list of boundary faces, n by 3, where n is the number of boundary faces + % J list of indices into T, n by 1 + % K list of indices revealing across from which vertex is this face + % + + % get all faces + allF = [ ... + T(:,[4 2 3]); ... + T(:,[3 1 4]); ... + T(:,[2 4 1]); ... + T(:,[1 3 2])]; + % sort rows so that faces are reorder in ascending order of indices + sortedF = sort(allF,2); + % determine uniqueness of faces + [u,m,n] = unique(sortedF,'rows'); + % determine counts for each unique face + counts = accumarray(n(:), 1); + % extract faces that only occurred once + sorted_exteriorF = u(counts == 1,:); + sorted_exteriorJ = m(counts == 1,:); + % find in original faces so that ordering of indices is correct + [I,J] = ismember(sortedF,sorted_exteriorF,'rows'); + L = sorted_exteriorJ(J(I))-1; + J = mod(L,size(T,1))+1; + K = floor(L/size(T,1))+1; + F = allF(I,:); +end diff --git a/matlab/external/gptoolbox/mesh/bounding_box.m b/matlab/external/gptoolbox/mesh/bounding_box.m new file mode 100644 index 0000000..2d8fea7 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/bounding_box.m @@ -0,0 +1,32 @@ +function [BB,BF] = bounding_box(V) + % BOUNDING_BOX Compute the bounding box of a set of points + % + % [BB,BF] = bounding_box(V) + % + % Inputs: + % V #V by dim list of points + % Outputs: + % BB 2^dim list of boundary box vertices + % BF #BF by #dim list of facets + % + + dim = size(V,2); + minV = min(V); + maxV = max(V); + C = combn([0 1],dim) == 1; + BB = bsxfun(@times,C,minV) + bsxfun(@times,~C,maxV); + + % lazy faces + D = DelaunayTri(BB); + switch size(D.Triangulation,2) + case 3 + BF = outline(D.Triangulation); + case 4 + BF = boundary_faces(D.Triangulation); + otherwise + error('Not supported'); + end + + + +end diff --git a/matlab/external/gptoolbox/mesh/box_height_field.m b/matlab/external/gptoolbox/mesh/box_height_field.m new file mode 100644 index 0000000..718c572 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/box_height_field.m @@ -0,0 +1,249 @@ +function [V,F] = box_height_field(im,varargin) + % Create a height field of boxes (each pixel is an extruded square). The + % resulting mesh will be water-tight (the surface of the solid beneath the + % height field) except for the outer boundary. The surface will likely _not_ + % be edge manifold (saddle corners with data [1 0;0 1] will result in + % non-manifold edges along the kissing pillars). + % + % [V,F] = box_height_field(im) + % [V,F] = box_height_field(im,'ParameterName',ParameterValue, ...) + % + % Input: + % im h by w by 1 height field over regular grid + % Optional: + % 'Closed' whether to produce a closed mesh (slower) {true}. + % Outputs: + % V #V by 3 list of 3d surface mesh positions + % F #F by 3 list of 3d surface triangle indices + % + + function [V,F] = box_height_field_closed(im) + function [V,F] = strips(X,Y,Z,tops) + h = size(X,1); + w = size(X,2); + % reserve space + F = zeros(h*w*6,3); + V = zeros(h*w*10,3); + fsize = 0; + vsize = 0; + + function appendF(Frc) + if fsize+size(Frc,1) > size(F,1) + Ftemp = F; + F = [F;zeros(size(F,1),3)]; + end + F(fsize+(1:size(Frc,1)),:) = Frc; + fsize = fsize+size(Frc,1); + end + + function appendV(Vrc) + if vsize+size(Vrc,1) > size(V,1) + Vtemp = V; + V = [V;zeros(size(V,1),3)]; + end + V(vsize+(1:size(Vrc,1)),:) = Vrc; + vsize = vsize+size(Vrc,1); + end + + for r = 1:h + % TL2-TR2-... + % / | | + % / BL2-BR2-... + % / / + % / / + % /|/ + % / ^ + % TL1-TR1 / + % | | / + % BL1+BR1 + % + %% get next and previous row (or same if boundary) + %Z2 = im(min(r+1,end),1); + %Z1 = im(r,1); + %Z0 = im(max(r-1,1),1); + if tops + Vrc = [ ... + X(r,1)-0.5 Y(r,1)-0.5 Z(r,1); ... + X(r,1)-0.5 Y(r,1)+0.5 Z(r,1); ... + X(r,1)+0.5 Y(r,1)+0.5 Z(r,1); ... + X(r,1)+0.5 Y(r,1)-0.5 Z(r,1); ... + ]; + Frc = [1 2 4;4 2 3]; + appendF(vsize+Frc); + appendV(Vrc); + end + for c = 1:w-1 + r_prev = max(r,1); + r_next = min(r,h); + Zabove = zeros(0,1); + Zbelow = zeros(0,1); + if r>1 + Zabove = Z(r-1,[c c+1])'; + Zabove = sort(Zabove( ... + (Zabove>Z(r,c) & ZaboveZ(r,c+1))),'descend'); + end + if rZ(r,c) & ZbelowZ(r,c+1)))); + end + if Z(r,c) > Z(r,c+1) + Zbelow = flipud(Zbelow); + Zabove = flipud(Zabove); + end + + % Despite repeating vertices this is actually faster than adding logic + % to reuse previous vertices + Vrc = [ ... + X(r,c)+0.5 Y(r,c)-0.5 Z(r,c); ... + X(r,c)+0.5 Y(r,c)+0.5 Z(r,c); ... + repmat([X(r,c)+0.5 Y(r,c)+0.5],numel(Zbelow),1) Zbelow; ... + X(r,c)+0.5 Y(r,c)+0.5 Z(r,c+1); ... + X(r,c)+0.5 Y(r,c)-0.5 Z(r,c+1); ... + repmat([X(r,c)+0.5 Y(r,c)-0.5],numel(Zabove),1) Zabove; ... + ]; + nbelow = 2+numel(Zbelow)+1; + nabove = 2+numel(Zabove)+1; + Frc = [ ... + [ones(1,nbelow-2); 2:nbelow-1; 3:nbelow]'; ... + nbelow-1+[ones(1,nabove-2); 2:nabove-1; [3:nabove-1 -nbelow+2]]']; + + + if tops + Frc = [Frc; ... + [1 [2 1]-2-numel(Zabove); ... + 2 1 [1]-2-numel(Zabove); ... + ]+size(Vrc,1)]; + Vrc = [Vrc; ... + X(r,c+1)+0.5 Y(r,c+1)-0.5 Z(r,c+1); ... + X(r,c+1)+0.5 Y(r,c+1)+0.5 Z(r,c+1)]; + end + + appendF(vsize+Frc); + appendV(Vrc); + end + end + F = F(1:fsize,:); + V = V(1:vsize,:); + end + + w = size(im,2); + h = size(im,1); + [X,Y] = meshgrid(1:w,1:h); + Z = im; + [VLR,FLR] = strips(X,Y,Z,true); + [VTB,FTB] = strips(Y',X',Z',false); + VTB = VTB(:,[2 1 3]); + V = [VLR;VTB]; + F = [fliplr(FLR);size(VLR,1)+FTB]; + + % clean up + [V,~,IM] = remove_duplicate_vertices(V,0); + F = IM(F); + [~,I] = unique(sort(F,2),'rows'); + F = F(I,:); + F = F(doublearea(V,F)>0,:); + [V,IM] = remove_unreferenced(V,F); + F = IM(F); + end + function [V,F] = box_height_field_fast(im) + % Fast version that produces boundaries between pillars + + function [V,F] = strips(X,Y,Z) + % + % TL2-TR2-... + % / | | + % TL1-TR1 BL2-BR2-... + % | | / + % BL1+BR1 + % + BLX = X-0.5; + BRX = X+0.5; + BLY = Y-0.5; + BRY = Y-0.5; + BLZ = Z; + BRZ = Z; + TLX = X-0.5; + TRX = X+0.5; + TLY = Y+0.5; + TRY = Y+0.5; + TLZ = Z; + TRZ = Z; + BLI = reshape(0*numel(X)+(1:numel(X)),size(X)); + BRI = reshape(1*numel(X)+(1:numel(X)),size(X)); + TLI = reshape(2*numel(X)+(1:numel(X)),size(X)); + TRI = reshape(3*numel(X)+(1:numel(X)),size(X)); + V = [ ... + BLX(:) BLY(:) BLZ(:); ... + BRX(:) BRY(:) BRZ(:); ... + TLX(:) TLY(:) TLZ(:); ... + TRX(:) TRY(:) TRZ(:)]; + F = [ ... + BLI(:) BRI(:) TRI(:); + BLI(:) TRI(:) TLI(:); + reshape(BRI(:,1:end-1),[],1), ... + reshape(BLI(:,2:end),[],1), ... + reshape(TLI(:,2:end),[],1); ... + reshape(BRI(:,1:end-1),[],1), ... + reshape(TLI(:,2:end),[],1), ... + reshape(TRI(:,1:end-1),[],1); ... + ]; + end + + % Gather X,Y,Z for each pixel + w = size(im,2); + h = size(im,1); + [X,Y] = meshgrid(1:w,1:h); + Z = im; + %X = X(:); + %Y = Y(:); + %Z = im(:); + I = reshape(1:numel(im),h,w); + + % left-right strips + [VLR,FLR] = strips(X,Y,Z); + [VTB,FTB] = strips(Y',X',Z'); + VTB = VTB(:,[2 1 3]); + FTB = fliplr(FTB); + V = [VLR;VTB]; + F = [FLR;size(VLR,1)+FTB]; + + [V,~,IM] = remove_duplicate_vertices(V,0); + F = IM(F); + [~,I] = unique(sort(F,2),'rows'); + F = F(I,:); + F = F(doublearea(V,F)>0,:); + [V,IM] = remove_unreferenced(V,F); + F = IM(F); + end + + + closed = true; + % default values + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Closed'},{'closed'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + if closed + [V,F] = box_height_field_closed(im); + else + [V,F] = box_height_field_fast(im); + end + + +end diff --git a/matlab/external/gptoolbox/mesh/bwmesh.m b/matlab/external/gptoolbox/mesh/bwmesh.m new file mode 100644 index 0000000..a95b706 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/bwmesh.m @@ -0,0 +1,106 @@ +function [W,F,V,E,H] = bwmesh(A,varargin) + % BWMESH Construct a mesh from a black and white image. + % + % [W,F] = bwmesh(A) + % [W,F] = bwmesh(png_filename) + % [W,F,V,E,H] = bwmesh(...,'ParameterName',ParameterValue,...) + % + % Inputs: + % A a h by w black and white image (grayscale double images will be + % clamped) + % or + % png_filename path to a png file + % Optional: + % 'Tol' tolerance for Douglas-Peucker algorithm {0} + % 'TriangleFlags' followed by flags to pass to triangle + % {'-q30a[avg_sqr_length]'} + % 'SmoothingIters' followed by smoothing amount {0} + % Outputs: + % W #W by 2 list of mesh vertices + % F #F by 3 list of triangle indices into W + % V #V by 2 list of boundary polygon vertices + % E #E by 2 list of boundary edge indices into V + % H #H by 2 list of hole indicator point positions + % + % Known issues: this does _not_ trace the boundary of pixels but rather + % connects the centers of boundary pixels. Therefore it struggles if there + % are very thin (1px wide) features/holes. + % + + if ischar(A) + % read alpha channel + [~,~,A] = imread(A); + end + A = im2double(A); + + % default values + tol = 0; + triangle_flags = ''; + smoothing_iters = 0; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Tol','TriangleFlags','SmoothingIters'}, ... + {'tol','triangle_flags','smoothing_iters'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + % B contains list of boundary loops then hole loops, N number of outer + % boundaries (as opposed to hole boundaries) + [B,~,N] = bwboundaries(A>0.5); + + V = []; + E = []; + H = []; + for b = 1:numel(B) + if size(B{b},1)>2 + Vb = B{b}; + Vb = bsxfun(@plus,Vb*[0 -1;1 0],[-0.5,size(A,1)+0.5]); + if smoothing_iters > 0 + Eb = [1:size(Vb,1);2:size(Vb,1) 1]'; + Vb = curve_smooth(Vb,Eb,'MaxIters',smoothing_iters); + end + + if tol > 0 + Vb = dpsimplify(Vb([1:end 1],:),tol); + Vb = Vb(1:end-1,:); + end + % don't consider degenerate boundaries + area = sum(prod(Vb([2:end 1],:)+Vb*[-1 0;0 1],2))/2; + if size(unique(Vb,'rows'),1)>2 && area>eps + Eb = [1:size(Vb,1);2:size(Vb,1) 1]'; + E = [E;size(V,1)+Eb]; + V = [V;Vb]; + if b > N + H = [H;point_inside_polygon(Vb)]; + end + end + end + end + fprintf('triangle...\n'); + if isempty(triangle_flags) + % triangulate the polygon + % get average squared edge length as a guess at the maximum area constraint + % for the triangulation + avg_sqr_edge_length = mean(sum((V(E(:,1),:)-V(E(:,2),:)).^2,2))/2.0; + quality = 30; + triangle_flags = sprintf('-q%da%0.17f',quality,avg_sqr_edge_length); + end + + % Why do I need to do this? + [V,~,J] = remove_duplicate_vertices(V,0); + % remap faces + E = J(E); + + [W,F] = triangle(V,E,H,'Flags',triangle_flags,'Quiet'); +end diff --git a/matlab/external/gptoolbox/mesh/cage2tet.m b/matlab/external/gptoolbox/mesh/cage2tet.m new file mode 100644 index 0000000..2a3c5bf --- /dev/null +++ b/matlab/external/gptoolbox/mesh/cage2tet.m @@ -0,0 +1,69 @@ +function cage2tet( ... + cage_name, ... + surface_name, ... + skeleton_name, ... + samples_per_edge, ... + output_name, ... + allow_resampling) + % CAGE2TET Script to make a 3d tet mesh from a 2d surface cage and a 2d + % surface residing in the cage. Faces of the resulting .mesh file are the + % faces of the original internal surface though they may not correspond to + % faces of tets + % + % cage2tet( ... + % cage_name, surface_name, skeleton_name, ... + % samples_per_edge, output_name, allow_resampling) + % + % Inputs: + % cage_name path to the file containing cage vertices and faces, should be + % off or obj + % surface_name path to the file containing the internal surface vertices + % and faces + % skeleton_name path to .tgf file containing skeleton + % samples_per_edge number of samples per skeleton edge + % output_name path to file to be written with tet mesh + % allow_resampling whether to allow resampling on cage surface {false} + % + + if(~exist('allow_resampling','var')) + allow_resampling = false; + end + + % read input mesh + [cageV, cageF] = load_mesh(cage_name); + + % read input mesh + [surfV,surfF] = load_mesh(surface_name); + + % read skelton + if(isempty(skeleton_name)) + skelV = []; + else + [skelV,skelF] = readTGF(skeleton_name); + skelV = sample_edges(skelV,skelF,samples_per_edge); + end + + assert(max(size(setdiff(cageV,surfV,'rows')) == size(cageV))) + assert(all(size(unique(surfV,'rows')) == size(surfV))) + assert(all(size(unique(cageV,'rows')) == size(cageV))) + + [V,T,F] = tetgen([cageV;surfV],cageF,[skelV],allow_resampling); + offset = find( ... + V(:,1)==surfV(1,1) & ... + V(:,2)==surfV(1,2) & ... + V(:,2)==surfV(1,2) ... + ,1)-1; + indices = 1:size(V,1); + indices(1:size(cageV,1)) = size(surfV,1) + (1:size(cageV,1)); + indices(size(cageV,1) + (1:size(surfV,1))) = 1:size(surfV,1); + mT = indices(T); + mV = zeros(size(V)); + mV(indices,:) = V; + mF = surfF; + + %% write tet mesh to file + writeMESH(output_name,mV,mT,mF); + + % subplot(1,2,1);tsurf(mF,mV); + % subplot(1,2,2);tetramesh(mT,mV); +end diff --git a/matlab/external/gptoolbox/mesh/catOBJs.m b/matlab/external/gptoolbox/mesh/catOBJs.m new file mode 100644 index 0000000..79523a2 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/catOBJs.m @@ -0,0 +1,17 @@ +function catOBJs(input_files, output_file) + % Concatenate meshes obj files into one mesh + % + % catOBJs(input_files, output_file) + % + % Inputs: + % input_files cell of paths to input files + % Output: + % output_file path to output OBJ + % + [V,F] = load_mesh(input_files{1}); + for i = 2:numel(input_files) + [Vi,Fi] = load_mesh(input_files{i}); + [V, F] = cat_meshes(V,F,Vi,Fi); + end + writeOBJ(output_file,V,F); +end diff --git a/matlab/external/gptoolbox/mesh/cat_meshes.m b/matlab/external/gptoolbox/mesh/cat_meshes.m new file mode 100644 index 0000000..81f8eb2 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/cat_meshes.m @@ -0,0 +1,24 @@ +function [V,F] = cat_meshes(V,F,varargin) + % CAT_MESHES concatenate many meshes + % + % [V,F] = cat_meshes(V1,F1,V2,F2, ... + % + % Inputs: + % V1 #V by dim list of vertex positions of mesh 1 + % F1 #F by simplex-size list of simplex indices of mesh 1 + % V2 #V by dim list of vertex positions of mesh 2 + % F2 #F by simplex-size list of simplex indices of mesh 2 + % ... + % Outputs: + % V #V1+#V2+... by dim list of vertex positions + % F #F1+#F2+... by simplex-size list of simplex indices + % + assert(mod(nargin,2)==0); + for m = 1:nargin/2 + Vm = varargin{2*m-1}; + Fm = varargin{2*m}; + F = [F; Fm+size(V,1)]; + V = [V; Vm]; + end +end + diff --git a/matlab/external/gptoolbox/mesh/cdt.m b/matlab/external/gptoolbox/mesh/cdt.m new file mode 100644 index 0000000..71b3cce --- /dev/null +++ b/matlab/external/gptoolbox/mesh/cdt.m @@ -0,0 +1,440 @@ +function [VV,TT,FF,TN,IFF] = cdt(varargin) + % CDT compute the constrained delaunay triangulation of a given mesh using + % tetgen. + % + % [VV,TT,FF,TN,IFF] = cdt(V,F,'ParameterName',ParameterValue, ...) + % + % Inputs: + % V #V by dim list of mesh positions + % F #F by dim list of face indices + % Optional: + % 'TriangleFlags' followed by a string of additional triangle flags, e.g. + % '-q' + % 'TetgenFlags' followed by a string of additional tetgen flags, e.g. + % '-J' + % 'UseBoundingBox' followed by whether to use an explicit bounding box + % rather than tetgen's convex hull + % 'BoundingBoxPush' followed by a push factor to enlargen the bounding + % box around its centroid {1.01} + % 'BoundingBoxUpsample' followed by a factor f, to upsample the bounding + % box faces until min(doublearea(BV,BF))=2 + F = varargin{2}; + else + F = []; + end + % default values for optional input + tetgen_flags = ''; + triangle_flags = ''; + use_bounding_box = 0; + bb_push = 1.01; + bb_ups = inf; + quiet = 0; + + % parse any optional input + ii = 3; + while(ii <= nargin) + switch varargin{ii} + case 'TriangleFlags' + ii = ii + 1; + assert(ii<=nargin); + triangle_flags = varargin{ii}; + case 'TetgenFlags' + ii = ii + 1; + assert(ii<=nargin); + tetgen_flags = varargin{ii}; + case 'UseBoundingBox' + ii = ii+1; + assert(ii<=nargin); + use_bounding_box = 1*(varargin{ii}); + case 'BoundingBoxPush' + ii = ii+1; + assert(ii<=nargin); + bb_push = varargin{ii}; + case 'BoundingBoxUpsample' + ii = ii+1; + assert(ii<=nargin); + bb_ups = varargin{ii}; + case 'Quiet' + ii = ii+1; + assert(ii<=nargin); + quiet = varargin{ii}; + quiet = quiet * 1; + otherwise + error(['Unsupported parameter: ' varargin{ii}]); + end + ii = ii + 1; + end + + if quiet + fid = fopen('/dev/null','w'); + else + fid = 1; + end + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Check for cached result, do NOT edit variables until cache is checked, + % your function code comes later. See below + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + clear varargin; + % get a list of current variables in this scope, this is the input "state" + variables = who; + % get a temporary file's name + tmpf = [tempname('.') '.mat']; + % save the "state" to file, so we can get a md5 checksum + save(tmpf,'-regexp',sprintf('^%s$|',variables{:}),'-ascii'); + % get md5 checksum on input "state", we append .cache.mat to the check sum + % because we'll use the checksum as the cache file name + [s,cache_name] = system(['/sbin/md5 -r ' tmpf ' | awk ''{printf "."$1".cache.mat"}''']); + % clean up + delete(tmpf); + clear s tmpf variables; + % If the checksum cache file exists then we've seen this input "state" + % before, load in cached output "state" + if(exist(cache_name,'file')) + fprintf(fid,'Cache exists. Using cache...\n'); + % use cache + load(cache_name); + % Otherwise this is the first time we've seen this input "state", so we + % execute the function as usual and save the output "state" to the cache + else + fprintf(fid,'First time. Creating cache...\n'); + + + dim = size(V,2); + assert(numel(F) ==0 || dim >= size(F,2), sprintf( ... + 'dimension of V (%d) < simplex size (%d)',dim,size(F,2))); + switch dim + case 2 + % we're dealing with edges + E = F; + if use_bounding_box + [BV,BF] = bounding_box([max(V)+eps;min(V)-eps]); + dir = [sign(bsxfun(@minus,BV,mean(BV)))]; + mag_max = max(sqrt(sum(bsxfun(@minus,BV,mean(BV)).^2,2))); + BV = bsxfun(@plus,bb_push*mag_max*dir,mean(BV)); + BE = []; + EmBE = E; + else + BV = []; + BF = []; + % explicitly add convex hull + F = delaunay(V); + BE = outline(F); + EmBE = setdiff(sort(E,2),sort(BE,2),'rows'); + end + [VV,TT] = triangle([V;BV],[BE;EmBE;size(V,1)+BF],[],'Flags',triangle_flags); + + % This is a bullshit hack way of determining which edges were subdivided + % A better way is using boundary markers in triangle like in + % diffcurves_test.m + + % First determine which edges were not subdivided + E_indices = 1:size(E,1); + [maintained] = ismember(sort(E,2),sort(edges(TT),2),'rows'); + EE = E(maintained,:); + IEE = E_indices(maintained); + % and those that were + ES = E(~maintained,:); + IES = E_indices(~maintained); + % hopefully #ES is small, let Alec know if it isn't, we should rewrite this + if size(ES,1)>100 + warning('many (%d) edges to subdivide, this could be slow',size(ES,1)); + end + % build edge-length adjacency matrix + C = adjacency_edge_cost_matrix(VV,edges(TT)); + % average edge length for tolerances + h = avgedge(VV,TT); + % loop over edges that were subdivided + for e = 1:size(ES,1) + % get shortest path from source to dest + [D,P] = dijk(C,ES(e,2),ES(e,1)); + % check that D is what a straight line path should be + + orig_len = sqrt(sum((V(ES(e,2),:)-V(ES(e,1),:)).^2,2)); + if abs(orig_len-D)>1e-13*h + warning('path %d to %d may not be straight: |%g - %g| = %g', ... + ES(e,2),ES(e,1),orig_len,D,abs(orig_len-D)); + end + d = ES(e,1); + NE = []; + % trace back path + while d~=ES(e,2) + NE = [NE;d P(d)]; + d = P(d); + end + % append to edges + EE = [EE;NE]; + IEE = [IEE(:);repmat(IES(e),size(NE,1),1)]; + end + % rename to match output + FF = EE; + if nargout >= 5 + IFF = IEE; + end + if nargout >= 4 + % Compute element neighbors + TN = tt(TT); + end + case 3 + + % It's really important that we have at least tetgen 1.5 + [status,result] = system([path_to_tetgen ' -help']); + tetgen_version = ... + str2double(regexprep(result,'.*Version ([0-9].[0-9]).*','$1')); + if isnan(tetgen_version) || tetgen_version < 1.5 + error('%s version (%g) < 1.5',path_to_tetgen,tetgen_version); + end + + FF = F; + + % Q: Should clean up be the caller's responsibility? + % A: Yes, I think so. We can parse tetgen and give hints. + + %% number of input points + %n = size(V,1); + + %% Deal with duplicate input points + %[V,I,J] = remove_duplicate_vertices(V); + %if n ~= size(V,1) + % warning('cdt: %d exactly duplicate points removed from input',n-size(V,1)); + % n = size(V,1); + % % Remap faces + % FF = J(F); + %end + + %if ~isempty(F) + % NF = F( (F(:,1) ~= F(:,2)) & (F(:,2) ~= F(:,3)) & (F(:,3) ~= F(:,1)),:); + % if size(NF,1) < size(F,1) + % warning('cdt: %d faces with combinatorally duplicate vertices removed\n', ... + % size(F,1)-size(NF,1)); + % FF = NF; + % end + %end + + % Try to mesh with all faces included directly + BM = -ones(size(FF,1),1); + + if use_bounding_box + [BV,BF] = bounding_box(V); + % Subdivide + if ~isempty(FF) && size(FF,2)==3 + max_dblA = max(doublearea(V,FF)); + while min(doublearea(BV,BF))> bb_ups*max_dblA + [BV,BF] = upsample(BV,BF); + end + end + % push a little a away + BV = bsxfun(@plus,bb_push*bsxfun(@minus,BV,mean(BV)),mean(BV)); + BF = BF + size(V,1); + V = [V;BV]; + FF = [FF;BF]; + % true boundary marker + BM = [BM;ones(size(BF,1),1)]; + end + + prefix = tempname; + poly_filename = [prefix '.poly']; + writePOLY_tetgen(poly_filename,V,FF,[],'BoundaryMarkers',BM); + + + % -p: mesh PLC + % -C: check consistency of result + % -c: retain convex hull, doesn't seem to play nicely with -q + %% -O0: optimization level + %% -Y: no steiner points on boundary + %% -J: Do not jettison duplicate vertices (we should have already handled + %% these) + % -n: output neighbor information + %% -F: suppress output of face information + %% -S0: specifies maximum number of added points (may still add schoenhardt + % points) + % There seems to be a secret -o[val] flag that optimizes the max dihedral + % angle + delaunay_flags = '-pCn'; + if ~use_bounding_box + % then retain convex hull. Note: this seems broken, hence the option to + % use bounding box + delaunay_flags = [delaunay_flags 'c']; + end + %delaunay_flags = '-pq0.75 -a0.0002 -O5YcJnFg'; + + command = [path_to_tetgen ' ' delaunay_flags ' ' tetgen_flags ' ' poly_filename]; + fprintf(fid,'%s\n',command); + if quiet + [status, result] = system(command); + else + [status, result] = system(command,'-echo'); + end + fprintf(fid,'%s',result); + if status ~= 0 + fprintf(fid,'%s',result); + else + % Print some warnings based on tetgen output + if strfind(result,'Steiner points on boundary edges') + fprintf(fid,'%s',result); + warning('Tetgen added steiner points on boundary'); + end + if strfind(result,'Jettisoning redundants points.') + fprintf(fid,'%s',result); + warning('Tetgen removed duplicate points'); + end + + end + + % See terminatetetgen() in tetgen.h + switch(status) + case 0 + case 3 + error('Self intersections. Try selfintersect() or remove self-intersections'); + %% Self-intersection + % warning('Throwing away self-intersecting facets'); + % % Seems tetgen sets status=3 if self-intersecting + % % Rerun and detect self-intersecting faces + % % -p: mesh PLC, -d: detect all self intersections, -J: don't jettison + % % duplicate points (since we want self-intersecting faces defined over + % % original vertices) + % selfintersection_flags = '-pdJ '; + % command = [path_to_tetgen ' ' selfintersection_flags ' ' poly_filename]; + % fprintf(fid,command); + % [status, result] = system(command); + % if strfind(result,'No faces are intersecting.') + % fprintf(fid,'%s',result); + % error('Tetgen unsure whether there are self-intersections'); + % end + % assert(status==0); + % % tetgen always writes output to file: + % face_filename = [prefix '.1.face']; + % node_filename = [prefix '.1.node']; + % % faces participating in self-intersections + % % Faces will index new nodes, but they better be the input ones + % IF = readFACE(face_filename); + % % clean up temp files + % delete(face_filename); + % %VV = readNODE(node_filename); + % %assert(size(VV,1)==size(V,1)); + % %delete(node_filename); + + % % Segments aren't supported by tetgen the way I'd like them to be (i.e. I + % % get seg faults) + % %% Get edges of intersecting faces + % %IFE = edges(IF); + % %IFsegs = mat2cell(IFE,ones(size(IFE,1),1),[2]); + + % % get orignal faces \ intersecting faces + % % Using sort like this assumes that tetgen ignores orientation + % FmIF = setdiff(sort(FF,2),sort(IF,2),'rows'); + % Facets = []; + % Facets.facets = mat2cell(FmIF,ones(size(FmIF,1),1),[size(FmIF,2)]); + % Facets.boundary_marker = -ones(numel(Facets.facets),1); + % Facets.holes = cell(numel(Facets.facets),1); + + % % Rewrite poly file + % writePOLY(poly_filename,V,Facets,[]); + + % % shoot for the moon + % command = [path_to_tetgen ' ' delaunay_flags ' ' tetgen_flags ' ' poly_filename]; + % fprintf(fid,command); + % [status, result] = system(command); + % result + % status + case 4 + % Small feature + error('Try again with reduced T?'); + case 5 + % close input facets + error('Try again with -Y'); + case 6 + % close input facets + error('Input error. Check yo` input'); + otherwise + error('Tetgen returned status %d != 0',status); + end + + % tetgen always writes output to file: + % xxxx.1.ele tetrahedra + % xxxx.1.node tetrahedra vertices + ele_filename = [prefix '.1.ele']; + face_filename = [prefix '.1.face']; + node_filename = [prefix '.1.node']; + neigh_filename = [prefix '.1.neigh']; + + %delete(poly_filename); + + VV = readNODE(node_filename); + TT = readELE(ele_filename); + TN = readNEIGH(neigh_filename); + TN(TN>=0) = TN(TN>=0)-1; + + + [FF,BF] = readFACE(face_filename); + %FF = FF-1; + FF = FF(BF==-1,:); + + %[VV1,TT1] = readMESH(mesh_filename); + % TODO: handle duplicate input vertices in a reasonable way + % TODO: Tetgen seems to add steiners when input has coplanar neighboring + % triangles (aka triangulated planar quads). It seems its enough to do: + % V = V+eps*rand(size(V)); + if ~quiet + if size(VV,1) > size(V,1) + warning('New mesh has extra %d vertices',size(VV,1)-size(V,1)); + elseif size(VV,1) < size(V,1) + warning('New mesh has %d fewer vertices',size(V,1)-size(VV,1)); + elseif max(abs(VV-V))>eps + warning('max(abs(VV-V)) = %g > %g',max(abs(VV-V)),eps); + %% Remap to original vertex list + %TT = I(TT); + %VV = V; + end + end + %%% Reverse order so that boundary_faces(TT) meets CCW convention + %TT = TT(:,[3 2 1 4]); + %TN = TN(:,[3 2 1 4]); + + %% remove bounding box facets + %if use_bounding_box + % old_FF_count = size(FF,1); + % FF = ... + % FF(all(reshape(~ismember(VV(FF(:),:),BV,'rows'),size(FF,1),3),2),:); + % rm_count = old_FF_count-size(FF,1); + % switch rm_count + % case 0:11 + % warning('Only removed %d boundary facets (instead of 12)'); + % case 12 + % % alles gut + % otherwise + % warning('Removed %d boundary facets (instead of 12)',rm_count); + % end + %end + otherwise + error(sprintf('Unsupported dimension (%d)',dim)); + end + + [IN] = in_elements(FF,TT); + if ~all(IN) + warning('%d faces not in elements',sum(~IN)); + end + + % get list of variables present in this scope at finish of function code, + % this is the output "state" + variables = who; + % save output "state" to file, using md5 checksum cache file name + save(cache_name,'-regexp',sprintf('^%s$|',variables{:})); + + end +end diff --git a/matlab/external/gptoolbox/mesh/centroid.m b/matlab/external/gptoolbox/mesh/centroid.m new file mode 100644 index 0000000..2eb71b0 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/centroid.m @@ -0,0 +1,61 @@ +function [C,vol] = centroid(V,F,varargin) + % CENTROID Compute the centroid of a closed polyhedron boudned by (V,F) + % + % C = centroid(V,F) + % [C,vol] = centroid(V,F,'ParameterName',ParameterValue, ...) + % + % Inputs: + % V #V by 3 list of mesh vertex positions + % F #F by 3 list of triangle mesh indices + % Optional: + % 'Robust' followed by whether to use more robust but costlier method for + % nearly closed input. {false} + % Outputs: + % C 3-vector of centroid location + % vol total volume of polyhedron + % + + % default values + robust = false; + % Map of parameter names to variable names + params_to_variables = containers.Map( {'Robust'}, {'robust'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + if robust + [TV,TT] = cdt(V,F); + BC = barycenter(TV,TT); + w = winding_number(V,F,barycenter(TV,TT))/(4*pi); + TT = TT(abs(w)>0.5,:); + BC = BC(abs(w)>0.5,:); + vol = volume(TV,TT); + C = sum(bsxfun(@times,vol,BC))/sum(vol); + vol = sum(vol); + else + % "Calculating the volume and centroid of a polyhedron in 3d" [Nuernberg 2013] + % http://www2.imperial.ac.uk/~rn/centroid.pdf + + % Rename corners + A = V(F(:,1,:),:); + B = V(F(:,2,:),:); + C = V(F(:,3,:),:); + % Needs to be **unnormalized** normals + N = cross(B-A,C-A,2); + % total volume via divergence theorem: ∫ 1 + vol = sum(sum(A.*N))/6; + % centroid via divergence theorem and midpoint quadrature: ∫ x + C = 1/(2*vol)*(1/24* sum(N.*((A+B).^2 + (B+C).^2 + (C+A).^2))); + end + +end diff --git a/matlab/external/gptoolbox/mesh/circumradius.m b/matlab/external/gptoolbox/mesh/circumradius.m new file mode 100644 index 0000000..4f5d15b --- /dev/null +++ b/matlab/external/gptoolbox/mesh/circumradius.m @@ -0,0 +1,48 @@ +function [R,C] = circumradius(V,T) + % CIRCUMRADIUS Return the circumradius of each tet element + % + % R = circumradius(V,T) + % + % Input: + % V #V by dim list of vertex positions + % T #T by simplex-size list of tet indices + % Output: + % R #T by 1 list of simplex circumradii + % C #T by dim list of simplex circumcenters + + switch size(T,2) + case 4 + d_14 = sqrt(sum((V(T(:,1),:)-V(T(:,4),:)).^2,2)); + d_23 = sqrt(sum((V(T(:,2),:)-V(T(:,3),:)).^2,2)); + d_24 = sqrt(sum((V(T(:,2),:)-V(T(:,4),:)).^2,2)); + d_34 = sqrt(sum((V(T(:,3),:)-V(T(:,4),:)).^2,2)); + d_12 = sqrt(sum((V(T(:,1),:)-V(T(:,2),:)).^2,2)); + d_13 = sqrt(sum((V(T(:,1),:)-V(T(:,3),:)).^2,2)); + R = sqrt((d_14.*d_23+d_13.*d_24-d_12.*d_34).*(d_14.*d_23-d_13.*d_24+d_12.*d_34).*(-d_14.*d_23+d_13.*d_24+d_12.*d_34).*(d_14.*d_23+d_13.*d_24+d_12.*d_34))./(sqrt(2)*sqrt(-2.*d_34.^2.*d_12.^4-2.*d_34.^4.*d_12.^2-2.*d_13.^2.*d_23.^2.*d_12.^2+2.*d_14.^2.*d_23.^2.*d_12.^2+2.*d_13.^2.*d_24.^2.*d_12.^2-2.*d_14.^2.*d_24.^2.*d_12.^2+2.*d_13.^2.*d_34.^2.*d_12.^2+2.*d_14.^2.*d_34.^2.*d_12.^2+2.*d_23.^2.*d_34.^2.*d_12.^2+2.*d_24.^2.*d_34.^2.*d_12.^2-2.*d_14.^2.*d_23.^4-2.*d_13.^2.*d_24.^4-2.*d_14.^4.*d_23.^2+2.*d_13.^2.*d_14.^2.*d_23.^2-2.*d_13.^4.*d_24.^2+2.*d_13.^2.*d_14.^2.*d_24.^2+2.*d_13.^2.*d_23.^2.*d_24.^2+2.*d_14.^2.*d_23.^2.*d_24.^2-2.*d_13.^2.*d_14.^2.*d_34.^2+2.*d_14.^2.*d_23.^2.*d_34.^2+2.*d_13.^2.*d_24.^2.*d_34.^2-2.*d_23.^2.*d_24.^2.*d_34.^2)); + assert(nargout == 1); + case 3 + % http://www.mathworks.com/matlabcentral/fileexchange/17300-circumcircle-of-a-triangle/content/circumcircle.m + + %compute the length of sides (AB, BC and CA) of the triangle + l = [ ... + sqrt(sum((V(T(:,2),:)-V(T(:,3),:)).^2,2)) ... + sqrt(sum((V(T(:,3),:)-V(T(:,1),:)).^2,2)) ... + sqrt(sum((V(T(:,1),:)-V(T(:,2),:)).^2,2)) ... + ]; + dblA = doublearea(V,T); + %use formula: R=abc/(4*area) to compute the circum radius + R = prod(l,2)./(2*dblA); + %compute the barycentric coordinates of the circum center + B= [ ... + l(:,1).^2.*(-l(:,1).^2+l(:,2).^2+l(:,3).^2) ... + l(:,2).^2.*( l(:,1).^2-l(:,2).^2+l(:,3).^2) ... + l(:,3).^2.*( l(:,1).^2+l(:,2).^2-l(:,3).^2)]; + % normalize + B = bsxfun(@rdivide,B,sum(B,2)); + %convert to the real coordinates + C = zeros(size(T,1),size(V,2)); + for d = 1:size(V,2); + C(:,d) = sum(B.*[V(T(:,1),d) V(T(:,2),d) V(T(:,3),d)],2); + end + +end diff --git a/matlab/external/gptoolbox/mesh/clean_dir.m b/matlab/external/gptoolbox/mesh/clean_dir.m new file mode 100644 index 0000000..b9069b7 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/clean_dir.m @@ -0,0 +1,56 @@ +function clean_dir(dir_arg) +% CLEAN_DIR Clean an entire directory of models +% +% +% Inputs: +% dir_arg argument for `dir` like '*.OBJ' +% + +%addpath ../ +files = dir(dir_arg); +for f = 1:numel(files); + file = files(f).name; + [path,name,ext] = fileparts(file); + fprintf('%s...',file); + [V,F] = load_mesh(file,'Quiet',true); + mesh_fix_success = true; + try + [CV,CF] = meshfix(V,F); + catch + fprintf('meshfix crashed...'); + mesh_fix_success = false; + end + if size(CF,1) < 0.5*size(F,1) + fprintf('meshfix removed more than half...'); + tsurf(CF,CV); + axis equal; + title(file,'FontSize',15); + drawnow; + mesh_fix_success = false; + end + if mesh_fix_success + output_name = fullfile(path,[name '_fixed.obj']); + else + try + [CV,CF] = winding_number_clean(V,F,'SurfaceOnly',true); + output_name = fullfile(path,[name '_solid.obj']); + catch(e) + fprintf('failure.\n'); + continue; + end + end + try + [CCV,CCT,CCF] = tetgen(CV,CF); + fprintf('success!\n'); + catch + fprintf('tetgen failed on CV,CF...'); + fprintf('semi-success?\n'); + end + tsurf(CF,CV); + axis equal; + title(file,'FontSize',15); + drawnow; + writeOBJ(output_name,CV,CF); +end + +end diff --git a/matlab/external/gptoolbox/mesh/clean_tetgen_mesh.m b/matlab/external/gptoolbox/mesh/clean_tetgen_mesh.m new file mode 100644 index 0000000..329c8af --- /dev/null +++ b/matlab/external/gptoolbox/mesh/clean_tetgen_mesh.m @@ -0,0 +1,23 @@ +function clean_tetgen_mesh(input_file,output_file) + % CLEAN_TETGEN_MESH TetGen writes ALL triangles to the .mesh file, that is + % all faces of the tetrahedra in the 3D mesh. + % clean_tetgen_mesh(input_file,output_file) reads the vertices and tetrahedra + % in input_file (ignoring triangles) and determines the surfaces triangles + % then write the vertices, surfaces triangles and tetrahedra to output_file + % + % clean_tetgen_mesh(input_file,output_file) + % + % Input: + % input_file path to .mesh file containing vertices and tetrahedra + % output_file path to .mesh file to be written + % + [V,T,F] = readMESH(input_file); + F = boundary_faces(T); + % reverse orientation of triangles, tetgen seems to have backwards + % orientation + F = [F(:,3) F(:,2) F(:,1)]; + % rearrange vertices so that vertices on surface come before internal + % vertices + [V,T,F] = faces_first(V,T,F); + writeMESH(output_file,V,T,F); +end diff --git a/matlab/external/gptoolbox/mesh/collapse_close_points.m b/matlab/external/gptoolbox/mesh/collapse_close_points.m new file mode 100644 index 0000000..2b80b08 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/collapse_close_points.m @@ -0,0 +1,138 @@ +function [NC,NE] = collapse_close_points(C,E,epsilon) + % COLLAPSE_CLOSE_POINTS collapse points closer than a given epsilon + % updating given the edge list. + % + % [NC,NE] = collapse_close_points(C,E) + % [NC,NE] = collapse_close_points(C,E,epsilon) + % + % Inputs: + % C #C by dim list of point positions + % E #E by 2 list of edges + % or + % F #F by 3 list of triangles + % epsilon minium distance allowed after collapses are complete, default is to + % use fraction of maximum edge length + % Outputs: + % NC #NC by dim list of new point positions + % NE #NE by 2 list of new edges + % + % Note: There is NO guarantee that the resulting mesh will be manifold. + % + % Example: + % %% Collapse edges + % % point position list + % C = [1,0;0,0;-1,0;0,1;eps,eps;0,-0.1;0,-1]; + % % edge list + % E = [1 2; 2 3; 4 5; 5 6;6 7]; + % % plot original + % subplot(1,2,1); + % plot([C(E(:,1),1) C(E(:,2),1)]',[C(E(:,1),2) C(E(:,2),2)]', ... + % '-','LineWidth',1); + % % collapse close edges + % [NC,NE] = collapse_close_points(C,E,0.2); + % % plot result + % subplot(1,2,2); + % plot([NC(NE(:,1),1) NC(NE(:,2),1)]',[NC(NE(:,1),2) NC(NE(:,2),2)]', ... + % '-','LineWidth',1); + % + % %% Collapse faces + % % point position list + % C = [1,0;0,0;-1,0;0,1;eps,eps;0,-0.1;0,-1]; + % % face list + % F = [1 4 5; 1 5 2; 1 2 6; 1 6 7;3 7 6; 3 6 2; 3 2 5; 3 5 4]; + % % plot original + % subplot(1,2,1); + % tsurf(F,C); + % [NC,NF] = collapse_close_points(C,F,0.2); + % % plot result + % subplot(1,2,2); + % tsurf(NF,NC); + % + % + + assert(size(E,2) == 2 || size(E,2) == 3); + + if ~exist('epsilon','var') || isempty(epsilon) + if size(E,2) == 2 + EE = E; + else + EE = edges(E); + end + % maximum edge length + maxD = max(sqrt(sum((C(EE(:,1),:) - C(EE(:,2),:)).^2,2))); + epsilon = maxD/100; + end + + % avoid sqrts + sqr_eps = epsilon.^2; + + % make room for outputs + NC = C; + NE = E; + + % set previous count to phony value to enter while loop + prev_count = size(NC,1)+1; + + % Continue collapse iterations until we're no longer collapsing anything + while prev_count ~= size(NC,1) + prev_count = size(NC,1); + % repeat each point position, (each point as seen by each other point) + NCC = repmat(NC,[1 1 size(NC,1)]); + D = squeeze(sum((NCC - permute(NCC,[3 2 1])).^2,2)); + % add infs along diagonal so self-distances are excluded + D = D + diag(diag(D)+inf); + % collect minimum distances for each point and indices to that closest point + [minD,q] = min(D); + % indices of points + p = 1:size(NC,1); + % list of "snaps", that is we're going to snap snap(:,2) to snap(:,1), or + % we're going to remove snap(:,2) and point all edges that use to be incident + % on snap(:,2) to snap(:,1) + snap = unique(sort([p(minD 0); + OF = LOC(EF); +end diff --git a/matlab/external/gptoolbox/mesh/conformalized_mean_curvature_flow.m b/matlab/external/gptoolbox/mesh/conformalized_mean_curvature_flow.m new file mode 100644 index 0000000..5924f9c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/conformalized_mean_curvature_flow.m @@ -0,0 +1,120 @@ +function [U,Usteps] = conformalized_mean_curvature_flow(V,F,varargin) + % CONFORMALIZED_MEAN_CURVATURE_FLOW Flow a surface according to "Can mean + % curvature flow be made non-singular?" [Kazhdan et al. 2012] + % + % Inputs: + % V #V by dim list of vertex positions + % F #F by 3 list of triangle indices into V + % Optional: + % 'MaxIter' followed by maximum number of iterations {100} + % 'delta' followed by delta value, should roughly be in range + % [1e-13,1e13] {1} + % 'LaplacianType' followed by 'cotangent' of 'uniform'. + % 'V0' followed by #V by 3 mesh positions to treat as initial mesh (to + % build laplacian from) + % 'RescaleOutput' followed by whether to scale output to match input + % (otherwise scaled to unit surface area and moved to origin for + % numerical robustness) {false} + % Outputs: + % U #V by dim list of new vertex positions + % Usteps #V by dim by iterations list of vertex positions during flow + % + + % default values + delta = 1; + max_iter = 100; + laplacian_type = 'cotangent'; + until_self_intersection_free = false; + V0 = V; + rescale_output = false; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'MaxIter','delta','LaplacianType','V0','RescaleOutput', ... + 'UntilSelfIntersectionFree'}, ... + {'max_iter','delta','laplacian_type','V0','rescale_output', ... + 'until_self_intersection_free'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + switch laplacian_type + case 'cotangent' + L = cotmatrix(V,F); + case 'uniform' + A = adjacency_matrix(F); + L = A - diag(sparse(sum(A,2))); + end + + if nargout > 1 + Usteps = zeros([size(V) max_iter]); + end + U = V; + iter = 1; + while true + if nargout > 1 + Usteps(:,:,iter) = U; + end + if until_self_intersection_free + [~,~,IF] = selfintersect(U,F,'DetectOnly',true,'FirstOnly',true); + if isempty(IF) + break; + end + end + U_prev = U; + % 'full' seems slight more stable than 'barycentric' which is more stable + % than 'voronoi' + M = massmatrix(U,F,'barycentric'); + U = (M-delta*L)\(M*U); + area = sum(doublearea(U,F)*0.5); + c = sum(bsxfun(@times,0.5*doublearea(U,F)/area,barycenter(U,F))); + U = bsxfun(@minus,U,c); + U = U/sqrt(area); + % Use difference from previous as stopping criterion + % Better would be to look for convergence while factoring out Möbius + % transformation. + % Q: Stop when no change in angles? + d = trace(((U-U_prev)'*M*(U-U_prev)).^2); + if d < 1e-13 + break; + end + % Volume of unit area sphere: pi^-0.5/6 + %[c,vol] = centroid(U,F); + %tsurf(F,U); + %%[vol pi^-0.5/6] + %title(sprintf('%g',sum(doublearea(U,F)*0.5))); + %drawnow; + if iter >= max_iter + warning('Max iterations (%d) exceeded without convergence',max_iter); + break; + end + iter = iter + 1; + end + + if nargout > 1 + Usteps = Usteps(:,:,1:iter); + end + + if rescale_output + area = sum(doublearea(V,F)*0.5); + c = sum(bsxfun(@times,0.5*doublearea(V,F)/area,barycenter(V,F))); + U = U*sqrt(area); + U = bsxfun(@plus,U,c); + if nargout > 1 + for iter = 2:size(Usteps,3) + Usteps(:,:,iter) = Usteps(:,:,iter)*sqrt(area); + Usteps(:,:,iter) = bsxfun(@plus,Usteps(:,:,iter),c); + end + end + end + +end diff --git a/matlab/external/gptoolbox/mesh/conic.m b/matlab/external/gptoolbox/mesh/conic.m new file mode 100644 index 0000000..44ad1a1 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/conic.m @@ -0,0 +1,168 @@ +function [Z,f] = conic(varargin) + % CONIC optimization wrapper for mosek, uses same prototype for conic and + % quadprog + % minimize ||Fx||² + c'x + % subject to: Aeq x = beq + % Aleq x ≤ bleq + % x ≤ lx + % x ≥ ux + % x(b) = bc + % + % Z = conic(F,c,Aeq,beq,Aleq,bleq,lx,ux,b,bc,'ParameterName',ParameterValue) + % + % Inputs: + % F #F by #x quadratic, least-squares matrix + % c #x by 1 linear term + % Aeq neq by #x linear equality matrix + % beq neq by 1 linear equality rhs + % Aleq nleq by #x linear inequality matrix + % bleq neq by 1 linear inequality rhs + % lx #x by 1 lower bounds + % ux #x by 1 upper bounds + % b #b list of boundary (fixed) indices in x + % bc #b list of boundary (fixed) values for b + % Optional: + % 'Quiet' followed by 'echo(0)' or '' to be quite or loud + % 'OptType' followed by 'conic' or 'quad' + % 'Param' followed by mosek param struct + % + + FF = varargin{1}; + c = varargin{2}; + Aeq = varargin{3}; + beq = varargin{4}; + Aleq = varargin{5}; + bleq = varargin{6}; + lx = varargin{7}; + ux = varargin{8}; + b = varargin{9}; + bc = varargin{10}; + + param = default_mosek_param(); + quiet = 'echo(0)'; + opt_type = 'conic'; + + ii = 11; + while(ii <= nargin) + switch varargin{ii} + case 'Quiet' + ii = ii + 1; + assert(ii<=nargin); + quiet = varargin{ii}; + case 'Param' + ii = ii + 1; + assert(ii<=nargin); + param = varargin{ii}; + case 'OptType' + ii = ii + 1; + assert(ii<=nargin); + opt_type = varargin{ii}; + otherwise + error(['Unsupported parameter: ' varargin{ii}]); + end + ii = ii + 1; + end + if isfield(param,'Diagnostics'); + param = rmfield(param,'Diagnostics'); + end + + % number of primary variables + n = size(FF,2); + nt = size(FF,1); + % identity the size of rows in FF + I = speye(nt,nt); + % number of equality constraints + neq = size(Aeq,1); + % number of less than or equals constraints + nleq = size(Aleq,1); + + % avoid warnings when Aeq and Aleq are empty + if isempty(Aeq) + Aeq = sparse(0,n); + end + if isempty(Aleq) + Aleq = sparse(0,n); + end + + switch opt_type + case 'conic' + % Follows: mosek 6.0's documentation "10.3.3.1. Quadratic objective and + % constraints" but ignores quadratic constraints because we don't have any. + + % set up mosek problem + prob = []; + prob.c = [c;zeros(nt,1);1;0]; + prob.a = [ ... + FF -I zeros(nt,2); ... + Aeq sparse(neq,nt) zeros(neq,2) ; ... + Aleq sparse(nleq,nt) zeros(nleq,2) ; ... + ]; + prob.blc = [zeros(nt,1);beq;-Inf(nleq,1)]; + prob.buc = [zeros(nt,1);beq;bleq]; + prob.blx = [lx;-Inf(nt,1);0;1]; + prob.bux = [ux;Inf(nt,1);Inf;1]; + prob.cones = cell(1,1); + prob.cones{1}.type = 'MSK_CT_RQUAD'; + v_index = n+nt+1; + w_index = n+nt+2; + t_indices = n+(1:nt); + prob.cones{1}.sub = [v_index w_index t_indices]; + + % Enforce fixed values + prob.bux(b) = bc; + prob.blx(b) = bc; + + fprintf('Conic optimization using mosek...\n'); + case 'conic-debug' + prob = []; + t_indices = n+(1:nt); + prob.qosubi = t_indices; + prob.qosubj = t_indices; + prob.qoval = repmat(1,nt,1); + prob.c = [c;zeros(nt,1)]; + prob.a = [ ... + FF -I; ... + Aeq sparse(neq,nt) ; ... + Aleq sparse(nleq,nt) ; ... + ]; + prob.blc = [zeros(nt,1);beq;-Inf(nleq,1)]; + prob.buc = [zeros(nt,1);beq;bleq]; + prob.blx = [lx;-Inf(nt,1)]; + prob.bux = [ux;Inf(nt,1)]; + + % Enforce fixed values + prob.bux(b) = bc; + prob.blx(b) = bc; + + fprintf('Conic-debug optimization using mosek...\n'); + case 'quad' + + prob = []; + [prob.qosubi,prob.qosubj,prob.qoval] = find(tril(FF'*FF)); + prob.c = c; + prob.a = [Aeq; Aleq]; + prob.blc = [beq;-Inf(nleq,1)]; + prob.buc = [beq;bleq]; + prob.blx = lx; + prob.bux = ux; + + % Enforce fixed values + prob.bux(b) = bc; + prob.blx(b) = bc; + fprintf('Quadratic optimization using mosek...\n'); + end + + if isfield(param,'Display'); + param = rmfield(param,'Display'); + end + + %ticid = tic; + [r,res]=mosekopt(['minimize ' quiet],prob,param); + %fprintf('mosekopt time: %g\n',toc(ticid)); + report_mosek_error(r,res); + % extract solution from result + x = res.sol.itr.xx; + % set weights to solution in weight matrix + Z = x(1:n); + f = 0.5*sum((FF*Z).^2) + c'*Z; +end diff --git a/matlab/external/gptoolbox/mesh/conncomp.m b/matlab/external/gptoolbox/mesh/conncomp.m new file mode 100644 index 0000000..7017b54 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/conncomp.m @@ -0,0 +1,21 @@ +function [S,C] = conncomp(G) + % CONNCOMP Drop in replacement for graphconncomp.m from the bioinformatics + % toobox. G is an n by n adjacency matrix, then this identifies the S + % connected components C. This is also an order of magnitude faster. + % + % [S,C] = conncomp(G) + % + % Inputs: + % G n by n adjacency matrix + % Outputs: + % S scalar number of connected components + % C + + % Transpose to match graphconncomp + G = G'; + + [p,q,r] = dmperm(G+speye(size(G))); + S = numel(r)-1; + C = cumsum(full(sparse(1,r(1:end-1),1,1,size(G,1)))); + C(p) = C; +end diff --git a/matlab/external/gptoolbox/mesh/connectedComponent.m b/matlab/external/gptoolbox/mesh/connectedComponent.m new file mode 100644 index 0000000..22ea4dd --- /dev/null +++ b/matlab/external/gptoolbox/mesh/connectedComponent.m @@ -0,0 +1,56 @@ +function [C] = connectedComponent(TT,TAG) +% CONNECTEDCOMPONENT Compute the connected components of a subset of triangles +% on a tri surface. Two faces are considered connected iff they share an edge. +% +% +% [C] = connectedComponent(TT,TAG) +% +% Inputs: +% TT face-face topology, Fx3 (you can use the function tt(F) to compute it) +% TAG subset of faces where the connected components are computed, Fx1 +% Outputs: +% C cell array of connected components. Every element of the cell array +% contains the indices of the faces in the corresponding connected +% component +% +% Use size(C) to know the number of connected components detected +% + +TOVISIT = 1; +VISITED = 2; + +TAG(TAG ~= 0) = TOVISIT; % mark as to visit +C = cell(1,1); +Crow = 1; + +I = find(TAG); + +for i = I' + if (TAG(i) == 1) % must be visited + CElem = [i]; + toVisit = [i]; + TAG(i) = VISITED; + + while size(toVisit) ~= 0 + current = toVisit(1); + toVisit = toVisit(2:end); + for j=1:3 + neigh = TT(current,j); + if (neigh == -1) + continue %% border + end + + if (TAG(neigh) == TOVISIT) + TAG(neigh) = VISITED; + CElem = [CElem neigh]; + toVisit = [toVisit neigh]; + end + end + end + + C{Crow} = CElem; + Crow = Crow + 1; + end +end + +end diff --git a/matlab/external/gptoolbox/mesh/connectedComponentV.m b/matlab/external/gptoolbox/mesh/connectedComponentV.m new file mode 100644 index 0000000..2cba488 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/connectedComponentV.m @@ -0,0 +1,56 @@ +function [C] = connectedComponentV(VV,TAG) +% CONNECTEDCOMPONENTV Compute the connected components of a subset of vertices +% on a tri surface. Two vertices are considered connected iff an edge connects +% them. +% +% [C] = connectedComponent(VV,TAG) +% +% Inputs: +% VV vertex-vertex topology, should be a sparse matrix as returned by the +% function vv(V,F) +% TAG subset of vertices where the connected components are computed, Vx1 +% Output: +% C cell array of connected components. Every element of the cell array +% contains the indices of the vertices in the corresponding connected +% component Use size(C) to know the number of connected components +% detected + +TOVISIT = 1; +VISITED = 2; + +TAG(TAG ~= 0) = TOVISIT; % mark as to visit +C = cell(1,1); +Crow = 1; + +I = find(TAG); + +for i = I' + if (TAG(i) == 1) % must be visited + CElem = [i]; + toVisit = [i]; + TAG(i) = VISITED; + + while size(toVisit) ~= 0 + current = toVisit(1); + toVisit = toVisit(2:end); + ns = find(VV(:,current)); + for j=1:size(ns) + neigh = ns(j); + if (neigh == -1) + continue %% border + end + + if (TAG(neigh) == TOVISIT) + TAG(neigh) = VISITED; + CElem = [CElem neigh]; + toVisit = [toVisit neigh]; + end + end + end + + C{Crow} = CElem; + Crow = Crow + 1; + end +end + +end diff --git a/matlab/external/gptoolbox/mesh/connected_components.m b/matlab/external/gptoolbox/mesh/connected_components.m new file mode 100644 index 0000000..4c5f5f3 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/connected_components.m @@ -0,0 +1,22 @@ +function C = connected_components(F) + % CONNECTED_COMPONENTS Determine the connected components of a mesh described + % by the simplex list F. Components are determined with respect to the edges of + % the mesh. That is, a single component may contain non-manifold edges and + % vertices. + % + % C = connected_components(F) + % + % Inputs: + % F #F by simplex-size list of simplices + % Outputs: + % C #V list of ids for each CC + % + % Examples: + % trisurf(F,V(:,1),V(:,2),V(:,3), ... + % connected_components([F;repmat(size(V,1),1,3)])); + + % build adjacency list + A = adjacency_matrix(F); + [~,C] = conncomp(A); + +end diff --git a/matlab/external/gptoolbox/mesh/cookie_cutter.m b/matlab/external/gptoolbox/mesh/cookie_cutter.m new file mode 100644 index 0000000..07769ed --- /dev/null +++ b/matlab/external/gptoolbox/mesh/cookie_cutter.m @@ -0,0 +1,91 @@ +function [V,F,W,G] = cookie_cutter(P,E) + % COOKIE_CUTTER Generate a cookie cutter model from a curve + % + % [V,F,W,G] = cookie_cutter(P,E) + % + % Inputs: + % P #P by 2 list of positions + % E #E by 3 list of edge indices into P + % Outputs: + % V #V by 3 list of positions of cutter part + % F #F by 3 list of triangle indices on cutter part + % W #W by 3 list of positions of stamper part + % G #G by 3 list of triangle indices on stamper part + % + + function [V,O] = robust_overlap(S,E) + sqr_len = mean(sum((S(E(:,1),:)-S(E(:,2),:)).^2,2)); + max_area = sqr_len/9; + [V,F] = cdt(S,E,'TriangleFlags',sprintf('-qYY -a%g',max_area),'Quiet',true); + w = winding_number(S,E,barycenter(V,F)); + F = F(w>0.5,:); + [V,I] = remove_unreferenced(V,F); + F = I(F); + O = outline(F); + [V,I] = remove_unreferenced(V,O); + O = I(O); + [V,~,I] = remove_duplicate_vertices(V,1e-3); + O = I(O); + % remove degnerate edges + O = O(O(:,1) ~= O(:,2),:); + % remove duplice edges + [~,I] = unique(sort(O,2),'rows'); + O = O(I,:); + assert(size(unique(sort(O,2),'rows'),1) == size(O,1)); + [V,F] = triangle(V,O,[],'Flags','-YY','Quiet'); + w = abs(winding_number(V,O,barycenter(V,F))); + F = F(w>0.5,:); + O = outline(F); + [V,I] = remove_unreferenced(V,O); + O = I(O); + assert(size(unique(sort(O,2),'rows'),1) == size(O,1)); + + end + + % thin wall + offset = 0.5; + [SI,SO,EI,EO] = offset_curve(P,offset); + S = [SI;SO]; + E = [EI;size(SI,1)+EO]; + [S,E] = robust_overlap(S,E); + + % thick wall + k_offset = 2; + [KI,KO,KEI,KEO] = offset_curve(P,k_offset); + K = [KI;KO]; + KE = [KEI;size(KI,1)+KEO]; + [K,KE] = robust_overlap(K,KE); + + % height of cutting wall + h = 15; + % height of lip + th = 3; + % height of stamper + sth = 5; + [CV,CF] = wedding_cake({K,S},{KE,E},[th,h]); + + tol = 0.8; + [sP,~,sE,~] = offset_curve(P,offset+tol); + plot_edges(sP,sE); + sE = fliplr(sE); + [sP,sE] = robust_overlap(sP,sE); + % center + c = mean(sP); + % center should be inside + assert(abs(winding_number(sP,sE,c))>0.5); + % radius determined by closest point on curve + r = min(all_pairs_distances(K,c)); + r = 0.9*r; + r = min(r,4); + theta = linspace(0,2*pi,100)'; + theta = theta(1:end-1); + hP = bsxfun(@plus,c,r*[cos(theta) sin(theta)]); + hE = [1:size(hP,1);2:size(hP,1) 1]'; + [SV,SF] = wedding_cake({sP,hP},{sE,hE},[sth,2*h]); + + % concatenate + F = [CF;size(CV,1)+SF]; + %V = [CV;bsxfun(@plus,[max(CV(:,1))*2 0 0],SV)]; + % Cutter needs to be flipped! + V = [bsxfun(@times,[-1 1 1],CV);bsxfun(@plus,[abs(max(CV(:,1)))/2 0 0],SV)]; +end diff --git a/matlab/external/gptoolbox/mesh/coordinate_constraint.m b/matlab/external/gptoolbox/mesh/coordinate_constraint.m new file mode 100644 index 0000000..ff3dc92 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/coordinate_constraint.m @@ -0,0 +1,36 @@ +function [Alp,blp] = coordinate_constraint(V,C) + % COORDINATE_CONSTRAINT Build a "coordinate constraint" matrix for enforcing + % linear precision in generalized barycentric coordinates or skinning + % weights. + % + % [Alp,blp] = coordinate_constraint(V,C) + % + % Inputs: + % V #V by dim list of sample locations + % C #C by dim list of cage/control vertex positions + % Outputs: + % Alp #V*dim by #V*c sparse matrix of constraint coefficients + % blp #V*dim list of right hand sides + % + % Example: + % % fine mesh in (V,F) cage in (C,CF), boundary conditions in (b,bc) + % [Alp,blp] = coordinate_constraint(V,C) + % W = min_quad_with_fixed(Q,[],b,bc,Alp,blp) + % max(abs(Alp*W(:) - blp)) + % + + % dimensions + n = size(V,1); + d = size(C,2); + assert(d == size(V,2)); + c = size(C,1); + AlpI = reshape(repmat(1:n,c,1),n*c,1); + AlpJ = reshape(bsxfun(@plus,repmat((1:c)-1,n,1)*n,(1:n)')',n*c,1); + %% Handle each dimension + AlpI = reshape(bsxfun(@plus,AlpI,((1:d)-1)*n),n*c*d,1); + AlpJ = repmat(AlpJ(:),d,1); + AlpV = reshape(repmat(C,n,1),n*c*d,1); + Alp = sparse(AlpI(:),AlpJ(:),AlpV(:),n*d,c*n); + blp = V(:); + +end diff --git a/matlab/external/gptoolbox/mesh/cotangent.m b/matlab/external/gptoolbox/mesh/cotangent.m new file mode 100644 index 0000000..a502233 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/cotangent.m @@ -0,0 +1,158 @@ +function C = cotangent(V,F,varargin) + % COTANGENT compute the cotangents of each angle in mesh (V,F), more details + % can be found in Section 1.1 of "Algorithms and Interfaces for Real-Time + % Deformation of 2D and 3D shapes" [Jacobson 2013] + % + % C = cotangent(V,F) + % C = cotangent(V,F,'ParameterName',parameter_value,...) + % + % Known bugs: + % This seems to return 0.5*C and for tets already multiplies by + % edge-lengths + % + % Inputs: + % V #V by dim list of rest domain positions + % F #F by {3|4} list of {triangle|tetrahedra} indices into V + % Optional (3-manifolds only): + % 'SideLengths' followed by #F by 3 list of edge lengths corresponding + % to: 23 31 12. In this case V is ignored. + % or + % followed by #T by 6 list of tet edges lengths: + % 41 42 43 23 31 12 + % 'FaceAreas' followed by #T by 4 list of tet face areas + % Outputs: + % C #F by {3|6} list of cotangents corresponding + % angles for triangles, columns correspond to edges 23,31,12 + % dihedral angles *times opposite edge length* over 6 for tets, + % WRONG: columns correspond to edges 23,31,12,41,42,43 + % RIGHT: columns correspond to *faces* 23,31,12,41,42,43 + % + % See also: cotmatrix + % + % Copyright 2013, Alec Jacobson (jacobson@inf.ethz.ch) + % + + switch size(F,2) + case 3 + + % default values + l = []; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'SideLengths'}, {'l'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + assert(numel(varargin) == 0); + + % triangles + if isempty(l) + % edge lengths numbered same as opposite vertices + l = [ ... + sqrt(sum((V(F(:,2),:)-V(F(:,3),:)).^2,2)) ... + sqrt(sum((V(F(:,3),:)-V(F(:,1),:)).^2,2)) ... + sqrt(sum((V(F(:,1),:)-V(F(:,2),:)).^2,2)) ... + ]; + end + i1 = F(:,1); i2 = F(:,2); i3 = F(:,3); + l1 = l(:,1); l2 = l(:,2); l3 = l(:,3); + % semiperimeters + s = (l1 + l2 + l3)*0.5; + % Heron's formula for area + dblA = 2*sqrt( s.*(s-l1).*(s-l2).*(s-l3)); + % cotangents and diagonal entries for element matrices + % correctly divided by 4 (alec 2010) + C = [ ... + (l2.^2 + l3.^2 -l1.^2)./dblA/4 ... + (l1.^2 + l3.^2 -l2.^2)./dblA/4 ... + (l1.^2 + l2.^2 -l3.^2)./dblA/4 ... + ]; + case 4 + % Dealing with tets + T = F; + + l = []; + s = []; + v = 1; + while v <= numel(varargin) + switch varargin{v} + case 'SideLengths' + assert((v+1)<=numel(varargin)); + v = v+1; + l = varargin{v}; + case 'FaceAreas' + assert((v+1)<=numel(varargin)); + v = v+1; + s = varargin{v}; + otherwise + error(['Unsupported parameter: ' varargin{v}]); + end + v = v+1; + end + if isempty(l) + % lengths of edges opposite *face* pairs: 23 31 12 41 42 43 + l = [ ... + sqrt(sum((V(T(:,4),:)-V(T(:,1),:)).^2,2)) ... + sqrt(sum((V(T(:,4),:)-V(T(:,2),:)).^2,2)) ... + sqrt(sum((V(T(:,4),:)-V(T(:,3),:)).^2,2)) ... + sqrt(sum((V(T(:,2),:)-V(T(:,3),:)).^2,2)) ... + sqrt(sum((V(T(:,3),:)-V(T(:,1),:)).^2,2)) ... + sqrt(sum((V(T(:,1),:)-V(T(:,2),:)).^2,2)) ... + ]; + end + % (unsigned) face Areas (opposite vertices: 1 2 3 4) + if isempty(s) + s = 0.5*[ ... + doublearea_intrinsic(l(:,[2 3 4])) ... + doublearea_intrinsic(l(:,[1 3 5])) ... + doublearea_intrinsic(l(:,[1 2 6])) ... + doublearea_intrinsic(l(:,[4 5 6]))]; + end + + [~,cos_theta] = dihedral_angles([],[],'SideLengths',l,'FaceAreas',s); + + % volume + vol = volume_intrinsic(l); + + %% Law of cosines + %% http://math.stackexchange.com/a/49340/35376 + %H_sqr = (1/16) * ... + % (4*l(:,[4 5 6 1 2 3]).^2.* l(:,[1 2 3 4 5 6]).^2 - ... + % ((l(:, [2 3 4 5 6 1]).^2 + l(:,[5 6 1 2 3 4]).^2) - ... + % (l(:, [3 4 5 6 1 2]).^2 + l(:,[6 1 2 3 4 5]).^2)).^2); + %cos_theta= (H_sqr - s(:,[2 3 1 4 4 4]).^2 - ... + % s(:,[3 1 2 1 2 3]).^2)./ ... + % (-2*s(:,[2 3 1 4 4 4]).* ... + % s(:,[3 1 2 1 2 3])); + %% To retrieve dihedral angles stop here... + %theta = acos(cos_theta); + %theta/pi*180 + + % Law of sines + % http://mathworld.wolfram.com/Tetrahedron.html + %sin_theta = bsxfun(@rdivide,vol,(2./(3*l)) .* s(:,[1 2 3 2 3 1]) .* s(:,[4 4 4 3 1 2])); + sin_theta = bsxfun(@rdivide,vol,(2./(3*l)) .* s(:,[2 3 1 4 4 4]) .* s(:,[3 1 2 1 2 3])); + %% Using sin for dihedral angles gets into trouble with signs + %theta = asin(sin_theta); + %theta/pi*180 + + % http://arxiv.org/pdf/1208.0354.pdf Page 18 + C = 1/6 * l .* cos_theta ./ sin_theta; + %% One should probably never use acot to retrieve signed angles + %theta = acot(C); + %theta/pi*180 + otherwise + error('Unsupported simplex type'); + end + +end diff --git a/matlab/external/gptoolbox/mesh/cotmatrix.m b/matlab/external/gptoolbox/mesh/cotmatrix.m new file mode 100644 index 0000000..4e7901c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/cotmatrix.m @@ -0,0 +1,114 @@ +function L = cotmatrix(V,F) + % COTMATRIX computes cotangent matrix (laplacian mesh operator), (mass/area + % terms already cancelled out) + % + % L = cotmatrix(V,F) + % L = cotmatrix(V,T) + % + % For size(F,2)==4, This is distinctly NOT following definition that appears + % in the appendix of: ``Interactive Topology-aware Surface Reconstruction,'' + % by Sharf, A. et al + % http://www.cs.bgu.ac.il/~asharf/Projects/InSuRe/Insure_siggraph_final.pdf + % + % Instead it is a purely geometric construction. Find more details in Section + % 1.1 of "Algorithms and Interfaces for Real-Time Deformation of 2D and 3D + % shapes" [Jacobson 2013] + % + % ND derivation given in "A MONOTONE FINITE ELEMENT SCHEME FOR + % CONVECTION-DIFFUSION EQUATIONS" [Xu & ZIKATANOV 1999] + % + % 3D derivation given in "Aspects of unstructured grids and finite-volume + % solvers for the Euler and Navier-Stokes equations" [Barth 1992] + % + % + % Inputs: + % V #V x dim matrix of vertex coordinates + % F #F x simplex-size matrix of indices of triangle or tetrahedron corners + % Outputs: + % L sparse #V x #V matrix of cot weights + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch), Denis Zorin + % + % See also: cotangent + % + + ss = size(F,2); + switch ss + case 3 + %% Could just replace everything with: + %C = cotangent(V,F); + %L = sparse(F(:,[2 3 1]), F(:,[3 1 2]), C,size(V,1),size(V,1)); + %L = L+L'; + %L = L-diag(sum(L,2)); + + % should change code below, so we don't need this transpose + if(size(F,1) == 3) + warning('F seems to be 3 by #F, it should be #F by 3'); + end + F = F'; + + % renaming indices of vertices of triangles for convenience + i1 = F(1,:); i2 = F(2,:); i3 = F(3,:); + % #F x 3 matrices of triangle edge vectors, named after opposite vertices + v1 = V(i3,:) - V(i2,:); v2 = V(i1,:) - V(i3,:); v3 = V(i2,:) - V(i1,:); + % computing *unsigned* areas + if size(V,2) == 2 + % 2d vertex data + dblA = abs(v1(:,1).*v2(:,2)-v1(:,2).*v2(:,1)); + elseif size(V,2) == 3 + %n = cross(v1,v2,2); dblA = multinorm(n,2); + + % area of parallelogram is twice area of triangle + % area of parallelogram is || v1 x v2 || + n = cross(v1,v2,2); + % THIS DOES MATRIX NORM!!! don't use it!! + % dblA = norm(n,2); + + % This does correct l2 norm of rows + dblA = (sqrt(sum((n').^2)))'; + else + error('unsupported vertex dimension %d', size(V,2)) + end + % cotangents and diagonal entries for element matrices + cot12 = -dot(v1,v2,2)./dblA/2; cot23 = -dot(v2,v3,2)./dblA/2; cot31 = -dot(v3,v1,2)./dblA/2; + % diag entries computed from the condition that rows of the matrix sum up to 1 + % (follows from the element matrix formula E_{ij} = (v_i dot v_j)/4/A ) + diag1 = -cot12-cot31; diag2 = -cot12-cot23; diag3 = -cot31-cot23; + % indices of nonzero elements in the matrix for sparse() constructor + i = [i1 i2 i2 i3 i3 i1 i1 i2 i3]; + j = [i2 i1 i3 i2 i1 i3 i1 i2 i3]; + % values corresponding to pairs form (i,j) + v = [cot12 cot12 cot23 cot23 cot31 cot31 diag1 diag2 diag3]; + % for repeated indices (i,j) sparse automatically sums up elements, as we + % want + L = sparse(i,j,v,size(V,1),size(V,1)); + case 4 + if(size(F,1) == 4 && size(F,2) ~=4) + warning('F seems to be 4 by #F, it should be #F by 4'); + end + % number of mesh vertices + n = size(V,1); + % cotangents of dihedral angles + C = cotangent(V,F); + %% TODO: fix cotangent to have better accuracy so this isn't necessary + %% Zero-out almost zeros to help sparsity + %C(abs(C)<10*eps) = 0; + % add to entries + L = sparse(F(:,[2 3 1 4 4 4]),F(:,[3 1 2 1 2 3]),C,n,n); + % add in other direction + L = L + L'; + % diagonal is minus sum of offdiagonal entries + L = L - diag(sum(L,2)); + %% divide by factor so that regular grid laplacian matches finite-difference + %% laplacian in interior + %L = L./(4+2/3*sqrt(3)); + %% multiply by factor so that matches legacy laplacian in sign and + %% "off-by-factor-of-two-ness" + %L = L*0.5; + % flip sign to match cotmatix.m + if(all(diag(L)>0)) + warning('Flipping sign of cotmatrix3, so that diag is negative'); + L = -L; + end + end +end diff --git a/matlab/external/gptoolbox/mesh/cotmatrix3.m b/matlab/external/gptoolbox/mesh/cotmatrix3.m new file mode 100644 index 0000000..06571f5 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/cotmatrix3.m @@ -0,0 +1,33 @@ +function K = cotmatrix3(V,T) + % COTMATRIX3 computes cotangent matrix for 3D tetmeshes, area/mass terms + % already cancelled out: laplacian mesh operator + % + % This is distinctly NOT following definition that + % appears in the appendix of: ``Interactive Topology-aware Surface + % Reconstruction,'' by Sharf, A. et al + % http://www.cs.bgu.ac.il/~asharf/Projects/InSuRe/Insure_siggraph_final.pdf + % + % Instead it is a purely geometric construction. Find more details in Section + % 1.1 of "Algorithms and Interfaces for Real-Time Deformation of 2D and 3D + % shapes" [Jacobson 2013] + % + % ND derivation given in "A MONOTONE FINITE ELEMENT SCHEME FOR + % CONVECTION-DIFFUSION EQUATIONS" [Xu & ZIKATANOV 1999] + % + % 3D derivation given in "Aspects of unstructured grids and finite-volume + % solvers for the Euler and Navier-Stokes equations" [Barth 1992] + % + % K = cotmatrix(V,T) + % Inputs: + % V #V x 3 matrix of vertex coordinates + % T #T x 4 matrix of indices of tetrahedral corners + % Output: + % K #V x #V matrix of cot weights + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also cotmatrix + % + warning('Deprecated. Call cotmatrix directly.'); + K = cotmatrix(V,T); +end diff --git a/matlab/external/gptoolbox/mesh/cotmatrix_embedded.m b/matlab/external/gptoolbox/mesh/cotmatrix_embedded.m new file mode 100644 index 0000000..bcc6e7f --- /dev/null +++ b/matlab/external/gptoolbox/mesh/cotmatrix_embedded.m @@ -0,0 +1,35 @@ +function L = cotmatrix_embedded(V,F) + % COTMATRIX_EMBEDDED computes cotangent matrix (laplacian mesh operator), + % (mass/area terms already cancelled out) where (V,F) are a mesh embedded in + % size(V,2) dimensional space. This is a generalization of cotmatrix and a + % wrapper for cotmatrix_intrinsic + % + % L = cotmatrix_embedded(V,F) + % + % Inputs: + % V #V x dim matrix of vertex coordinates + % F #F x 3 matrix of indices of triangle corners + % Outputs: + % L sparse #V x #V matrix of cot weights + % + % Example: + % % (V,F) is a surface mesh in R^3 + % L = cotmatrix(V,F); + % Le = cotmatrix_embedded(V,F); + % % results should be the same up to floating point error + % max(max(abs(L-Le))) + % + % See also: cotmatrix, cotmatrix_intrinsic + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch), Denis Zorin + % + + % edge lengths numbered same as opposite vertices + l = [ ... + sqrt(sum((V(F(:,2),:)-V(F(:,3),:)).^2,2)) ... + sqrt(sum((V(F(:,3),:)-V(F(:,1),:)).^2,2)) ... + sqrt(sum((V(F(:,1),:)-V(F(:,2),:)).^2,2)) ... + ]; + L = cotmatrix_intrinsic(l,F,size(V,1)); +end + diff --git a/matlab/external/gptoolbox/mesh/cotmatrix_intrinsic.m b/matlab/external/gptoolbox/mesh/cotmatrix_intrinsic.m new file mode 100644 index 0000000..f382712 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/cotmatrix_intrinsic.m @@ -0,0 +1,54 @@ +function L = cotmatrix_intrinsic(l,F,nvert) + % COTMATRIX_INTRINSIC Compute cotangent Laplacian using edge lengths (not + % vertex positions). + % + % L = cotmatrix(l,F,nvert) + % + % Inputs: + % l #F by 3, array of edge lengths of edges opposite each face in F + % F #F by 3, list of indices of triangle corners + % nvert number of vertices, only needed to set size + % Outputs: + % L sparse nvert x nvert matrix of cot weights + % + % Example: + % % Reproduce regular cotmatrix using cotmatrix_intrinsic + % % edges numbered same as opposite vertices + % FT = F'; + % l = [ ... + % sqrt(sum((V(FT(:,2),:)-V(FT(:,3),:)).^2,2)) ... + % sqrt(sum((V(FT(:,3),:)-V(FT(:,1),:)).^2,2)) ... + % + % See also: cotmatrix + + % should change code below, so we don't need this transpose + if(size(F,1) == 3) + warning('F seems to be 3 by #F, it should be #F by 3'); + end + F = F'; + + % Law of cosines + Law of sine gives you: + + % renaming indices of vertices of triangles for convenience + i1 = F(1,:); i2 = F(2,:); i3 = F(3,:); + l1 = l(:,1); l2 = l(:,2); l3 = l(:,3); + % semiperimeters + s = (l1 + l2 + l3)*0.5; + % Heron's formula for area + dblA = 2*sqrt( s.*(s-l1).*(s-l2).*(s-l3)); + % cotangents and diagonal entries for element matrices + % correctly divided by 4 (alec 2010) + cot12 = (l1.^2 + l2.^2 -l3.^2)./dblA/4; + cot23 = (l2.^2 + l3.^2 -l1.^2)./dblA/4; + cot31 = (l1.^2 + l3.^2 -l2.^2)./dblA/4; + % diag entries computed from the condition that rows of the matrix sum up to 1 + % (follows from the element matrix formula E_{ij} = (v_i dot v_j)/4/A ) + diag1 = -cot12-cot31; diag2 = -cot12-cot23; diag3 = -cot31-cot23; + % indices of nonzero elements in the matrix for sparse() constructor + i = [i1 i2 i2 i3 i3 i1 i1 i2 i3]; + j = [i2 i1 i3 i2 i1 i3 i1 i2 i3]; + % values corresponding to pairs form (i,j) + v = [cot12 cot12 cot23 cot23 cot31 cot31 diag1 diag2 diag3]; + % for repeated indices (i,j) sparse automatically sums up elements, as we want + L = sparse(i,j,v,nvert,nvert); +end diff --git a/matlab/external/gptoolbox/mesh/covariance_scatter_matrix.m b/matlab/external/gptoolbox/mesh/covariance_scatter_matrix.m new file mode 100644 index 0000000..1703a44 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/covariance_scatter_matrix.m @@ -0,0 +1,87 @@ +function [CSM] = covariance_scatter_matrix(varargin) + % COVARIANCE_SCATTER_MATRIX builds a scatter matrix for constructing the + % covariance matrices used in ARAP energy minimization. + % + % CSM = covariance_scatter_matrix(V,F) + % CSM = covariance_scatter_matrix(V,F,'ParameterName',ParameterValue) + % + % Inputs: + % V #V by dim list of initial domain positions + % F #F by #simplex size list of triangle indices into V + % Optional: + % 'Energy' + % followed by a string specifying which arap energy definition to use. + % One of the following: + % 'spokes' "As-rigid-as-possible Surface Modeling" by [Sorkine and + % Alexa 2007], rotations defined at vertices affecting incident + % edges, default + % 'elements' "A local-global approach to mesh parameterization" by + % [Liu et al. 2010] or "A simple geometric model for elastic + % deformation" by [Chao et al. 2010], rotations defined at + % elements (triangles or tets) + % 'spokes-and-rims' Adapted version of "As-rigid-as-possible Surface + % Modeling" by [Sorkine and Alexa 2007] presented in section 4.2 of + % or "A simple geometric model for elastic deformation" by [Chao et + % al. 2010], rotations defined at vertices affecting incident + % edges and opposite edges + % Outputs: + % CSM dim*nr by dim*n sparse matrix containing special laplacians along the + % diagonal so that when multiplied by repmat(U,dim,1) gives covariance + % matrix elements, can be used to speed up covariance matrix computation. + % Where nr is the number of best fit rotations which depends on the + % choice of energy + % Example: + % % compute covariance matrices of a mesh + % n = size(V,1); + % dim = size(V,2); + % CSM = covariance_scatter_matrix(V,F,'Energy','spokes') + % S = CSM*repmat(U,dim,1); + % % dim by dim by n list of covariance matrices + % S = permute(reshape(S,[n dim dim]),[2 3 1]); + % + + % default is Sorkine and Alexa style local rigidity energy + energy = 'spokes'; + V = varargin{1}; + F = varargin{2}; + % number of vertices + n = size(V,1); + % number of elements + m = size(F,1); + % number of dimensions + dim = size(V,2); + + ii = 3; + while(ii <= nargin) + switch varargin{ii} + case 'Energy' + ii = ii + 1; + assert(ii<=nargin); + energy = varargin{ii}; + otherwise + error(['Unsupported parameter: ' varargin{ii}]); + end + ii = ii + 1; + end + + % number of rotations + switch energy + case 'spokes' + nr = size(V,1); + case 'spokes-and-rims' + nr = size(V,1); + case 'elements' + nr = size(F,1); + end + + KX = arap_linear_block(V,F,1,'Energy',energy); + KY = arap_linear_block(V,F,2,'Energy',energy); + Z = sparse(size(V,1),nr); + if dim == 2 + CSM = [KX Z;Z KY]'; + elseif dim == 3 + KZ = arap_linear_block(V,F,3,'Energy',energy); + CSM = [KX Z Z;Z KY Z;Z Z KZ]'; + end + +end diff --git a/matlab/external/gptoolbox/mesh/create_irregular_grid.m b/matlab/external/gptoolbox/mesh/create_irregular_grid.m new file mode 100644 index 0000000..ac4dac8 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/create_irregular_grid.m @@ -0,0 +1,58 @@ +function [UV,F, res] = create_irregular_grid(xRes, yRes, n, xWrap, yWrap) +% creates random UV positions and their connectivity information. +% +% Usage: +% [UV,F,res] = create_irregular_grid(xRes, yRes, n, wrapX, wrapY) +% +% Input: +% n: number of points to create per block +% wrapX, wrapY: wrap around in X/Y direction +% Output: +% UV: UV coordinates in interval [0,1]x[0,1] +% F : mesh connectivity (triangles) + +res = [yRes, xRes]; + +xSpace = linspace(0,1,xRes+1); xSpace=xSpace(1:end-1); +ySpace = linspace(0,1,yRes+1); ySpace=ySpace(1:end-1); +uvR = rand(xRes*yRes*n, 2).*repmat([xSpace(2), ySpace(2)], [xRes*yRes*n, 1]); +[U,V] = meshgrid(xSpace, ySpace); +uvB = repmat([U(:), V(:)], [n 1]); + +uvB(uvB(:,1)<0.001,1) = 0.001; +uvB(uvB(:,2)<0.001,2) = 0.001; +uvB(uvB(:,1)>0.999,1) = 0.999; +uvB(uvB(:,2)>0.999,2) = 0.999; + +uv = uvR + uvB; +nUV = size(uv,1); +nX = round(sqrt(n)*xRes); nY = round(sqrt(n)*xRes); +xBorder = [0; rand(nX, 1); 1]; +yBorder = [rand(nY, 1)]; + +UV = [uv; [xBorder, 0*xBorder]; [0*yBorder, yBorder]; + [xBorder, 0*xBorder+1]; [0*yBorder+1, yBorder]]; + +nUV = nUV + nX + nY; + +F = delaunay(UV(:,1), UV(:,2)); + +if (xWrap) + if (yWrap) + F(F>nUV) = F(F>nUV) - nX - nY; + UV = UV(1:nUV, :); + else + F(F>nUV & F<=nUV+nX) = F(F>nUV & F<=nUV+nX) - nX - nY; + F(F>nUV) = F(F>nUV) - nX; + UV = [UV(1:nUV, :), [0*yBorder+1, yBorder]]; + end +%else +% nUV = nUV + nX; +% F(F>nUV) = F(F>nUV) - nX - nY; +% UV = UV(1:nUV,:); +end + + + + +end diff --git a/matlab/external/gptoolbox/mesh/create_irregular_grid_with_min_angle.m b/matlab/external/gptoolbox/mesh/create_irregular_grid_with_min_angle.m new file mode 100644 index 0000000..005eae9 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/create_irregular_grid_with_min_angle.m @@ -0,0 +1,206 @@ +function [UV,F, res, edge_norms] = ... + create_irregular_grid_with_min_angle( ... + xRes, yRes, n, xWrap, yWrap, min_angle, ... + no_interior, dart_threshold) + % creates random UV positions and their connectivity information guaranteeing + % min angle by wrapping trianlge (http://www.cs.cmu.edu/~quake/triangle.html) + % + % [V,F] = create_irregular_grid_with_min_angle(xRes, yRes, n, xWrap, yWrap) + % + % Input: + % n number of points to create per block + % xWrap, yWrap wrap around in X/Y direction + % min_angle minimum angle between edges + % no_interior don't generate an interior before sending to triangle + % dart_threshold 0--> regular, 1-->irregular + % Outputs: + % UV #UV by 2 list of vertex positions + % F #F by 3 list of triangle indices into UV + % res [yRes,xRes] effective resolution + % edge_norms #F*3 list of edge lengths + % + + % (C) 2008 Denis Kovacs/NYU + % modified Alec Jacobson/NYU 2009 + + %% stratified distribution + + % points along boundary like create_regular + xRes = xRes -1; + yRes = yRes -1; + + if(~exist('dart_threshold')) + dart_threshold = 1.0; %(no threshold) + end + + res = [yRes, xRes]; + + + xSpace = linspace(0,1,xRes+1); xSpace=xSpace(1:end-1); + ySpace = linspace(0,1,yRes+1); ySpace=ySpace(1:end-1); + % throw darts at random, using threshold to control how far from corner of + % each cell. dart_threshold = 0.0 -> regular grid + uvR = (1.0+dart_threshold*(rand((xRes-1)*(yRes-1)*n, 2))) ... + .*repmat([xSpace(2), ySpace(2)], [(xRes-1)*(yRes-1)*n, 1]); + [U,V] = meshgrid(xSpace(1:end-1), ySpace(1:end-1)); + uvB = repmat([U(:), V(:)], [n 1]); + +% commented this out so dart_threshold==0 case would be exactly same vertex +% positions as regular +% uvB(uvB(:,1)<0.001,1) = 0.001; +% uvB(uvB(:,2)<0.001,2) = 0.001; +% uvB(uvB(:,1)>0.999,1) = 0.999; +% uvB(uvB(:,2)>0.999,2) = 0.999; + + uv = uvR + uvB; + nUV = size(uv,1); + nX = round(sqrt(n)*xRes); nY = round(sqrt(n)*xRes); + + % regularly place points on the boundaries + xBorder = linspace(0.0,1.0,nX+1)'; + yBorder = linspace(0.0,1.0,nY+1); + yBorder = yBorder(2:end-1)'; + + % randomly place points on the boundaries + %xBorder = [0; sort(rand(nX, 1)); 1]; + %yBorder = [sort(rand(nY, 1))]; + + + % vertices along the boundary of the domain, in order of their connectivity for + % feeding into writePOLY() + boundary = [[xBorder, 0*xBorder]; + [0*yBorder+1, yBorder]; + flipud([xBorder, 0*xBorder+1]); + flipud([0*yBorder, yBorder])]; + + if(exist('no_interior') && no_interior) + UV = [ boundary]; + % connectivity of boundary vertices + boundary_segments = [(1:size(boundary,1)); ... + [size(boundary,1) 1:(size(boundary,1)-1)]]'; + else + UV = [uv; boundary]; + % connectivity of boundary vertices + boundary_segments = [size(uv,1)+(1:size(boundary,1)); ... + size(uv,1)+[size(boundary,1) 1:(size(boundary,1)-1)]]'; + end + + nUV = nUV + nX + nY; + + num_x = size(xBorder,1)-2; + num_y = size(yBorder,1); + num_interior = size(UV,1)-4-2*num_x-2*num_y; + + % print to .poly file + %temp_file_name_prefix = '.temp'; + temp_file_name_prefix = tempname; + writePOLY_triangle([temp_file_name_prefix '.poly'],UV(:,1:2), boundary_segments,[]); + % execute triangle on .poly file + preserve_boundary = ''; + if(yWrap || xWrap) + preserve_boundary = 'Y'; + end + + %[UV,F] = execute_triangle( ... + % [['-p' preserve_boundary 'q'] num2str(min_angle)], temp_file_name_prefix); + [UV,F] = triangle([temp_file_name_prefix '.poly'],'Quality',min_angle); + %['-pq' num2str(min_angle)], temp_file_name_prefix); + % remove poly file and obj file + delete([temp_file_name_prefix '.poly']); + + % edges numbered same as opposite vertices + edge_norms = [ ... + sqrt(sum((UV(F(:,2),:)-UV(F(:,3),:)).^2,2)) ... + sqrt(sum((UV(F(:,3),:)-UV(F(:,1),:)).^2,2)) ... + sqrt(sum((UV(F(:,1),:)-UV(F(:,2),:)).^2,2)) ... + ]; + + % make a map to wrap vertex indices + index_map = [1:size(UV,1)]; + + % initial interior points are the same + index_map(1:num_interior) = 1:num_interior; + + % bottom-left corner is the same + index_map(num_interior+1) = num_interior+1; + + % bottom points are the same + index_map(num_interior+1+1:num_interior+1+num_x) = ... + num_interior+1+1:num_interior+1+num_x; + + % bottom right corner is the same only if not xWrap + if(xWrap) + % bottom left + index_map(num_interior+1+num_x+1) = num_interior+1; + else + index_map(num_interior+1+num_x+1) = num_interior+1+num_x; + end + + % right points are same only if not xWrap + if(xWrap) + % left + index_map( ... + num_interior+1+num_x+1+1:num_interior+1+num_x+1+num_y) = ... + fliplr(num_interior+1+num_x+1+num_y+1+num_x+1+1: ... + num_interior+1+num_x+1+num_y+1+num_x+1+num_y); + else + index_map( ... + num_interior+1+num_x+1:num_interior+1+num_x+1+num_y) = ... + num_interior+1+num_x+1:num_interior+1+num_x+1+num_y; + end + + % top right is same only if not x wrap and not y wrap + if(yWrap && xWrap) + % bottom left + index_map(num_interior+1+num_x+1+num_y+1) = ... + num_interior+1; + elseif(xWrap) + % top left + index_map(num_interior+1+num_x+1+num_y+1) = ... + num_interior+1+num_x+1+num_y+1+num_x+1; + elseif(yWrap) + % bottom right + index_map(num_interior+1+num_x+1+num_y+1) = ... + num_interior+1+num_x+1; + else + index_map(num_interior+1+num_x+1+num_y+1) = ... + num_interior+1+num_x+1+num_y+1; + end + + % top is the same only if not x wrap + if(yWrap) + % bottom + index_map(num_interior+1+num_x+1+num_y+1+1: ... + num_interior+1+num_x+1+num_y+1+num_x) = ... + fliplr(num_interior+1+1:num_interior+1+num_x); + else + index_map(num_interior+1+num_x+1+num_y+1+1: ... + num_interior+1+num_x+1+num_y+1+num_x) = ... + num_interior+1+num_x+1+num_y+1+1: ... + num_interior+1+num_x+1+num_y+1+num_x; + end + + % top left corner is only same if not yWrap + if(yWrap) + % bottom left + index_map(num_interior+1+num_x+1+num_y+1+num_x+1) = ... + num_interior+1; + else + index_map(num_interior+1+num_x+1+num_y+1+num_x+1) = ... + num_interior+1+num_x+1+num_y+1+num_x+1; + end + + % left is always the same + index_map(num_interior+1+num_x+1+num_y+1+num_x+1+1: ... + num_interior+1+num_x+1+num_y+1+num_x+1+num_y) = ... + num_interior+1+num_x+1+num_y+1+num_x+1+1: ... + num_interior+1+num_x+1+num_y+1+num_x+1+num_y; + + % steiner point are the same + index_map(num_interior+1+num_x+1+num_y+1+num_x+1+num_y+1:size(UV,1)) = ... + num_interior+1+num_x+1+num_y+1+num_x+1+num_y+1:size(UV,1); + + F = [index_map(F(:,1))' index_map(F(:,2))' index_map(F(:,3))']; + + +end diff --git a/matlab/external/gptoolbox/mesh/create_regular_grid.m b/matlab/external/gptoolbox/mesh/create_regular_grid.m new file mode 100644 index 0000000..02d41f6 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/create_regular_grid.m @@ -0,0 +1,95 @@ +function [UV,F, res, edge_norms] = ... + create_regular_grid(xRes, yRes, xWrap, yWrap, near, far) +% Creates list of triangle vertex indices for a rectangular domain, +% optionally wrapping around in X/Y direction. +% +% Usage: +% [UV,F,res,edge_norms] = create_regular_grid(xRes, yRes, xWrap, yWrap) +% +% Input: +% xRes, yRes: number of points in X/Y direction +% wrapX, wrapY: wrap around in X/Y direction +% near, far: near and far should be fractions of one which control the +% pinching of the domain at the center and sides +% +% Output: +% F : mesh connectivity (triangles) +% UV: UV coordinates in interval [0,1]x[0,1] +% res: mesh resolution +% +% Example: +% % Create and m by n cylinder +% m = 10; n = 20; +% [V,F] = create_regular_grid(m,n,1,0); +% V = [sin(2*pi*V(:,1)) cos(2*pi*V(:,1)) (n-1)*2*pi/(m-1)*V(:,2)]; +% tsurf(F,V); axis equal; +% + +if (nargin<3) wrapX=0; end +if (nargin<4) wrapY=0; end +if (nargin<5) overlap=0; end + +%res = [yRes, xRes]; +res_wrap = [yRes+yWrap, xRes+xWrap]; + +%xSpace = linspace(0,1,xRes+xWrap); if (xWrap) xSpace = xSpace(1:end-1); end +%ySpace = linspace(0,1,yRes+yWrap); if (yWrap) ySpace = ySpace(1:end-1); end +xSpace = linspace(0,1,xRes+xWrap); +ySpace = linspace(0,1,yRes+yWrap); + +[X, Y] = meshgrid(xSpace, ySpace); +UV_wrap = [X(:), Y(:)]; + +% Must perform pinch before edge_norms are taken +if(exist('near') & exist('far')) + if(near>0 & far>0) + t = ( ... + UV_wrap(:,1).*(UV_wrap(:,1)<0.5)+ ... + (1-UV_wrap(:,1)).*(UV_wrap(:,1)>=0.5) ... + )/0.5; + t = 1-sin(t*pi/2+pi/2); + UV_wrap(:,2) = ... + far/2 + ... + near*(UV_wrap(:,2)-0.5).*(1-t) + ... + far*(UV_wrap(:,2)-0.5).*t; + else + %error('Pinch must be between 0 and 1'); + end +end + + +idx_wrap = reshape(1:prod(res_wrap), res_wrap); + +v1_wrap = idx_wrap(1:end-1, 1:end-1); v1_wrap=v1_wrap(:)'; +v2_wrap = idx_wrap(1:end-1, 2:end ); v2_wrap=v2_wrap(:)'; +v3_wrap = idx_wrap(2:end , 1:end-1); v3_wrap=v3_wrap(:)'; +v4_wrap = idx_wrap(2:end , 2:end ); v4_wrap=v4_wrap(:)'; + +F_wrap = [v1_wrap;v2_wrap;v3_wrap; v2_wrap;v4_wrap;v3_wrap]; +F_wrap = reshape(F_wrap, [3, 2*length(v1_wrap)])'; + +% old way +% edges = [F_wrap(:,1) F_wrap(:,2); F_wrap(:,2) F_wrap(:,3); F_wrap(:,3) F_wrap(:,1)]; +% edge_norms = sqrt(sum((UV_wrap(edges(:,1),:)-UV_wrap(edges(:,2),:)).^2,2)); +% edge_norms = reshape(edge_norms,size(F_wrap,1),3); + +% edges numbered same as opposite vertices +edge_norms = [ ... + sqrt(sum((UV_wrap(F_wrap(:,2),:)-UV_wrap(F_wrap(:,3),:)).^2,2)) ... + sqrt(sum((UV_wrap(F_wrap(:,3),:)-UV_wrap(F_wrap(:,1),:)).^2,2)) ... + sqrt(sum((UV_wrap(F_wrap(:,1),:)-UV_wrap(F_wrap(:,2),:)).^2,2)) ... + ]; + +% correct indices +res = [yRes,xRes]; +idx = reshape(1:prod(res),res); +if (xWrap) idx = [idx, idx(:,1)]; end +if (yWrap) idx = [idx; idx(1,:)]; end +idx_flat = idx(:); + +% this might not be neccessary, could just rebuild UV like before +UV = reshape(UV_wrap,[size(idx_wrap),2]); +UV = UV(1:end-yWrap,1:end-xWrap,:); +UV = reshape(UV,xRes*yRes,2); + +F = [idx_flat(F_wrap(:,1)),idx_flat(F_wrap(:,2)),idx_flat(F_wrap(:,3))]; diff --git a/matlab/external/gptoolbox/mesh/crouzeix_raviart_cotmatrix.m b/matlab/external/gptoolbox/mesh/crouzeix_raviart_cotmatrix.m new file mode 100644 index 0000000..a5a37ac --- /dev/null +++ b/matlab/external/gptoolbox/mesh/crouzeix_raviart_cotmatrix.m @@ -0,0 +1,103 @@ +function [L,E,EMAP] = crouzeix_raviart_cotmatrix(V,F) + % CROUZEIX_RAVIART_COTMATRIX Compute the Crouzeix-Raviart cotangent + % Laplacian matrix where we use test functions define at edge midpoints. + % + % See for example "Discrete Quadratic Curvature Energies" [Wardetzky, Bergou, + % Harmon, Zorin, Grinspun 2007] + % + % Inputs: + % V #V by dim list of vertex positions + % F #F by element-size list of triangle indices + % Outputs: + % L #E by #E edge-based sparse cotangent matrix + % E #E by 2 list of edges + % + % Examples: + % % mesh in (V,F) + % [~,~,Ucr] = svd(full(Lcr)); + % % Convert between edge values and vertex values + % E2V = sparse(E(:),repmat(1:size(E,1),1,2)',1,size(V,1),size(E,1)); + % E2V = bsxfun(@rdivide,E2V,sum(E2V,2)); + % V2E = sparse(E(:),repmat(1:size(E,1),1,2)',1,size(V,1),size(E,1))'; + % V2E = bsxfun(@rdivide,V2E,sum(V2E,2)); + % tsurf(F,[V(:,1:2) E2V*Ucr(:,end-1)]) + % + % + % See also: edge_laplacian, is_boundary_edge, crouzeix_raviart_massmatrix, + % cotmatrix + % + + %% check for non-manifold edges + %S = statistics(V,F,'Fast',true); + %if S.num_nonmanifold_edges > 0 + % error(sprintf('There are %d non-manifold edges',num_nonmanifold_edges)); + %end + + % number of vertices + n = size(V,1); + % number of elements + m = size(F,1); + % simplex size + ss = size(F,2); + switch ss + case 3 + % Compute cotangents: seems to be 0.5*C + C = 2*cotangent(V,F); + + allE = [F(:,[2 3]);F(:,[3 1]);F(:,[1 2])]; + % Map each face-edge to a unique edge + F2E = reshape(1:3*m,m,3); + % Lij = -2 cot aij + % + % o + % |\ + % | \ + % | \ + % | \ + % i \ + % | \ + % | \ + % |αij \ + % o----j---o + % + % + LI = F2E(:, [1 2 3 2 3 1 1 2 3 2 3 1]); + LJ = F2E(:, [2 3 1 1 2 3 1 2 3 2 3 1]); + LV = 2*[-C(:,[3 1 2 3 1 2]) C(:,[3 1 2 3 1 2])]; + + % Map duplicate edges to first instance + [E,~,EMAP] = unique(sort(allE,2),'rows'); + + assert(all(size(LI)==size(LJ))); + assert(all(size(LI)==size(LV))); + L = sparse(EMAP(LI),EMAP(LJ),LV,size(E,1),size(E,1)); + case 4 + % tets + T = F; + C = -2*cotangent(V,T); + allF = [ ... + T(:,2) T(:,4) T(:,3); ... + T(:,1) T(:,3) T(:,4); ... + T(:,1) T(:,4) T(:,2); ... + T(:,1) T(:,2) T(:,3); ... + ]; + % Map each element-face to a unique face + T2F = reshape(1:4*m,m,4); + % Lij = -2 lij cot αij + LI = T2F(:,[1 4 4 4 2 3 2 1 2 3 3 1 1 4 4 4 2 3 2 1 2 3 3 1]); + LJ = T2F(:,[2 1 2 3 3 1 1 4 4 4 2 3 1 4 4 4 2 3 2 1 2 3 3 1]); + LV = [-C(:,[3 4 5 6 1 2 3 4 5 6 1 2]) C(:,[3 4 5 6 1 2 3 4 5 6 1 2])]; + % Map duplicate facets to first instance + [F,~,FMAP] = unique(sort(allF,2),'rows'); + + assert(all(size(LI)==size(LJ))); + assert(all(size(LI)==size(LV))); + L = sparse(FMAP(LI),FMAP(LJ),LV,size(F,1),size(F,1)); + E = F; + EMAP = FMAP; + + otherwise + error(['Simplex size ' num2str(ss) ' unsupported']); + end + +end diff --git a/matlab/external/gptoolbox/mesh/crouzeix_raviart_grad.m b/matlab/external/gptoolbox/mesh/crouzeix_raviart_grad.m new file mode 100644 index 0000000..aeb5756 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/crouzeix_raviart_grad.m @@ -0,0 +1,52 @@ +function [G,uE,EMAP] = crouzeix_raviart_grad(V,F) + % CROUZEIX_RAVIART_GRAD Computes the Gradient matrix for non-conforming + % Crouzeix-Raviart elements defined over a triangle mesh. + % + % Inputs: + % V #V by dim list of triangle vertex positions + % F #F by 3 list of triangle indices into V + % Outputs: + % G #F*dim by #uE matrix computing piecewise constant gradient vectors at + % faces given piecewise linear functions defined by values at edge + % mid-points + % uE #uE by 2 list of unique (undirected) edges + % EMAP #F*3 list of indices into uE mapping directed half-edges to unique + % edges. + % + % Example: + % [G,E,EMAP] = crouzeix_raviart_grad(V,F); + % L = crouzeix_raviart_cotmatrix(V,F); + % GMG = G'*repdiag(diag(sparse(dblA)/2),3)*G; + % assert(max(max(abs(L-GMG))) < 1e-12) + % + + assert(size(F,2) == 3,'Only triangles are supported'); + + dim = size(V,2); + V(:,end+1:3) = 0; + m = size(F,1); + E = [F(:,[2 3]);F(:,[3 1]);F(:,[1 2])]; + % Map each face-edge to a unique edge + F2E = reshape(1:3*m,m,3); + % Map duplicate edges to first instance + [uE,~,EMAP] = unique(sort(E,2),'rows'); + + % Edge vectors + EV = V(E(:,2),:)-V(E(:,1),:); + + N = normals(V,F); + dblA = normrow(N); + U = normalizerow(N); + + % rotate each vector 90 degrees around normal and divide by area + EVp = -cross(repmat(bsxfun(@rdivide,U,dblA/2),3,1),EV); + EVp = EVp(:,1:dim); + + G = sparse( ... + bsxfun(@plus,repmat(1:m,1,3)',m*(0:dim-1)), ... + repmat(EMAP,1,dim), ... + EVp+eps, ... + dim*m,size(uE,1)); + + +end diff --git a/matlab/external/gptoolbox/mesh/crouzeix_raviart_massmatrix.m b/matlab/external/gptoolbox/mesh/crouzeix_raviart_massmatrix.m new file mode 100644 index 0000000..6be93e7 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/crouzeix_raviart_massmatrix.m @@ -0,0 +1,41 @@ +function [M,E] = crouzeix_raviart_massmatrix(V,F) + % CROUZEIX_RAVIART_MASSMATRIX Compute the Crouzeix-Raviart mass matrix where + % M(e,e) is just the sum of 1/3 the areas of the triangles on either side of + % an edge e. For tets, edges are now faccets. + % + % See for example "Discrete Quadratic Curvature Energies" [Wardetzky, Bergou, + % Harmon, Zorin, Grinspun 2007] + % + % Inputs: + % V #V by dim list of vertex positions + % F #F by element-size list of triangle indices + % Outputs: + % M #E by #E edge-based diagonal mass matrix + % E #E by 2 list of edges + % + % See also: edge_laplacian, is_boundary_edge, crouzeix_raviart_cotmatrix, + % massmatrix + % + + switch size(F,2) + case 3 + allE = [F(:,[2 3]);F(:,[3 1]);F(:,[1 2])]; + % Map duplicate edges to first instance + [E,~,EMAP] = unique(sort(allE,2),'rows'); + TA = doublearea(V,F)/2; + M = sparse(EMAP,EMAP,repmat(TA/3,3,1),size(E,1), size(E,1)); + case 4 + T = F; + allF = [ ... + T(:,2) T(:,4) T(:,3); ... + T(:,1) T(:,3) T(:,4); ... + T(:,1) T(:,4) T(:,2); ... + T(:,1) T(:,2) T(:,3); ... + ]; + vol = volume(V,T); + [F,~,FMAP] = unique(sort(allF,2),'rows'); + M = sparse(FMAP,FMAP,repmat(vol/4,4,1),size(F,1), size(F,1)); + E = F; + EMAP = FMAP; + end +end diff --git a/matlab/external/gptoolbox/mesh/cube.m b/matlab/external/gptoolbox/mesh/cube.m new file mode 100644 index 0000000..b9d5864 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/cube.m @@ -0,0 +1,34 @@ +function [V,F] = cube(x,y,z) + % CUBE Construct a mesh of the unit cube. Sides are ordered like sides of a + % die (one of many dice). + % + % [V,F] = cube(x,y,z) + % + % Inputs: + % x number of vertices along x-axis + % y number of vertices along y-ayis + % z number of vertices along z-azis + % Outputs: + % V x*y*z by 3 list of vertex positions + % F #F by 3 list of triangle indices + % + % + + sam = [x y;z y;x z;x z;z y;x y]; + axes = [0 1 0;0 1 0;1 0 0;1 0 0;0 1 0;0 1 0]; + angles = [0 pi/2 pi/2 -pi/2 -pi/2 pi]; + V = []; + F = []; + for s = 1:6 + [CV,CF] = create_regular_grid(sam(s,1),sam(s,2),0,0); + CV(:,3) = 0; + R = round(axisangle2matrix(axes(s,:),angles(s))); + F = [F;size(V,1)+CF]; + V = [V;(CV-0.5)*R+0.5]; + end + + % Should be able to do this procedurally + [V,~,J] = remove_duplicate_vertices(V,1e-12); + F = J(F); + +end diff --git a/matlab/external/gptoolbox/mesh/curvature.m b/matlab/external/gptoolbox/mesh/curvature.m new file mode 100644 index 0000000..e54badb --- /dev/null +++ b/matlab/external/gptoolbox/mesh/curvature.m @@ -0,0 +1,46 @@ +function [kappa,alpha,ev,l] = curvature(P,varargin) + % CURVATURE compute pointwise curvature on a closed piecewise-linear curve P + % + % [kappa,alpha,ev,l] = curvature(P) + % [kappa,alpha,ev,l] = curvature(P,E) + % + % Inputs: + % P #P by 2 list of curve vertices + % or + % P #P by 2 list of curve vertices + % E #E by 2 list of directed curve edges into P + % Outputs: + % kappa #P list of curvature values + % alpha #P list of exterior angle values + % ev #P by 2 list of edge vectors, ev(i,:) goes from P(i,:) to P(i+1,:) + % l #P list of edge vector lengths, ev(i,:) goes from P(i,:) to P(i+1,:) + % + + n = size(P,1); + + switch nargin + case 1 + E = [1:n;2:n 1]'; + case 2 + E = varargin{1}; + end + % edge vectors, evi goes from Pi to Pi+1 + ev = P(E(:,2),:) - P(E(:,1),:); + + % find incoming and outgoing edge of each vertex + A = sparse(E(:,2),E(:,1),1,n,n); + A = A-A'; + [~,EI] = max(A,[],2); + [~,EO] = min(A,[],2); + evI = P - P(EI,:); + evO = P(EO,:) - P; + + % Exterior angles between consecutive edge vectors + alpha = atan2( ... + evI(:,1).*evO(:,2) - evI(:,2).*evO(:,1), ... + evI(:,1).*evO(:,1) + evI(:,2).*evO(:,2) ); + + lI = sqrt(sum(evI.^2,2)); + lO = sqrt(sum(evO.^2,2)); + kappa = alpha ./ (0.5 * (lI + lO)); +end diff --git a/matlab/external/gptoolbox/mesh/curve_smooth.m b/matlab/external/gptoolbox/mesh/curve_smooth.m new file mode 100644 index 0000000..12f905f --- /dev/null +++ b/matlab/external/gptoolbox/mesh/curve_smooth.m @@ -0,0 +1,66 @@ +function [S,Sall] = curve_smooth(S,E,varargin) +% Conformal mean curvature flow for curves +% +% [S,Sall] = curve_smooth(S,E) +% [S,Sall] = curve_smooth(S,E,'ParameterName',ParameterValue,...); +% +% Input: +% S #S by dim list of curve vertices +% E #E by 2 list of edge indices into S +% Optional +% 'Lambda' followed by flow time step {0.1} +% 'MaxIters' followed by maximum number of iters {2} +% 'FixBoundary' whether to fix boundary {false} +% Output: +% S #S by dim list of final curve vertices +% Sall #S by dim by iters list of all flow positions +% + +% default values +lambda_flow = 0.1; +iters = 2; +fix_boundary = false; +% Map of parameter names to variable names +params_to_variables = containers.Map( ... + {'Lambda','MaxIters','FixBoundary'}, ... + {'lambda_flow','iters','fix_boundary'}); +v = 1; +while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; +end + +Sall(:,:,1) = S; +A = adjacency_matrix(E); +L = A-diag(sum(A,2)); +if fix_boundary + b = find(sum(A,1)==1); + L(b,:) = 0; +end +%figure; +for ii=2:iters + + %plot([S(E(:,1),1) S(E(:,2),1)]',[S(E(:,1),2) S(E(:,2),2)]','-') + %drawnow; + + A = adjacency_edge_cost_matrix(Sall(:,:,ii-1),E); + M = diag(sum(A,2)/2); + M = M./max(diag(M)); + % cMCF + Sall(:,:,ii) = (M-lambda_flow*L)\(M*Sall(:,:,ii-1)); + %% rescale + %c = mean(Sall(:,:,ii)); + %bbd = max(Sall(:,:,ii))-min(Sall(:,:,ii)); + %Sall(:,:,ii) = bsxfun(@plus,c,bsxfun(@minus,Sall(:,:,ii),c)* ... + % sqrt(sum((max(S)-min(S)).^2,2))/sqrt(sum(bbd.^2,2))); + S = Sall(:,:,ii); + +end diff --git a/matlab/external/gptoolbox/mesh/deform.m b/matlab/external/gptoolbox/mesh/deform.m new file mode 100644 index 0000000..baf0033 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/deform.m @@ -0,0 +1,1608 @@ +classdef deform < handle + % DEFORM a 2D mesh in a matlab plot window using various deformation methods. + % This class must extend handle so that it may be updated by changes in the + % plot windows it creates. + % + % this = deform(V,F,C,'ParameterName',ParameterValue',...) + % + % Inputs: + % V #V by 2 list of vertex positions + % F #F by 3 list of face indices + % C #C by 2 list of control point positions + % OPTIONS: + % 'DeformMethod' followed by deformation method: + % 'skinning' followed by W, a #V by #handles matrix of weights + % 'mls' followed by mlsd, a struct with moving least squares data + % 'arap' (see 'ArapEnergy' for more options) + % 'takeo-asap' + % 'lscm' + % 'takeo-arap' + % 'takeo-arap-iterative' + % 'iterative-laplacian-mesh-editing' + % 'laplacian-mesh-editing' + % 'custom' followed by a function that takes the mesh and the boundary + % conditions and outputs the new vertex positions. Dummy identity + % function: + % f = @(V,F,b,bc) V; + % 'PointHandles' followed by a list of indices into C, for the point + % handles. Default value is 1:size(C,1) + % 'BoneEdges' followed by a #BE by 2 list of indices into C for the bone + % handles. Default value is [] + % 'CageEdges' followed by a #CE by 2 list of indices into P specifying + % cage edges for point handles (for display purposes only) + % 'InterpMode' could be 'LBS' for Linear Blend Skinning or 'DQLBS' for + % Dual Quaternion Linear Blend Skinning, default is 'LBS' + % 'StretchBones' followed by a set of weights #V by #BE. Use stretchable + % bones skinning formula instead of LBS, uses extra set of weights per + % bone. + % 'StiffPoints' followed by a list of bone weights #V by #BE, expects + % 'BoneEdges' to be present and to index into P rather than C. Uses + % extra set of weights per bone edge. + % 'AutoDOF' followed by a method to compute automatic degrees of freedom + % for point handles, possible options are: + % 'none' + % 'arap' + % 'pseudoedges' + % 'PseudoEdges' followed by a #PE by 2 list of pseudo edges for computing + % automatic rotations at point handles + % 'Groups' followed by G a #V list of groups ids, or a number of groups + % to compute based on weights + % 'Free' + % List of "free" handles, that is, LBS handles that are not controled + % by the user + % 'Fixed' + % List of "fixed" handles, that is, LBS handles that are *completely* + % controlled by the user (AutoDOF methods should not affect these + % handles). Note that "fixed" is not necessarily the complement of + % "free" + % 'UseLastFrame' followed by true of false, default is true + % 'VisualizeWeights' puts a subplot to the right with the selected + % handle's weights in a plot using color to indicate value, default is + % off + % 'VisualizeRotations' puts a subplot to the right with a + % visualization of the rotations fit to the vertices in the current + % deformation, default is off + % 'WeightVisualizationWeights' followed by an array the same size as W, + % default is to just use W + % 'ShowContour' puts a subplot to the right with the selected handle's + % weights in a contour plot, default is off + % 'ContourWeights' followed by an array the same size as W + % default is to just use W + % 'ContourLevels' followed by the number of isolevels in the contour plot, + % default is 20 + % 'ShowPixelDiff' followed by another set of weights show the difference + % between the current deformation using the current weights and a + % deformation by this other set of weights. + % 'ColorByGroups' followed by true or false, default is false + % 'ColorByRotations' followed by true or false, default is false + % 'DepthOrdering' list of handle indices in order of depth, default is + % 1:nh + % 'Tol' stopping tolerance for arap optimization, see arap.m + % 'MaxIter' + % max number of local-global iterations used in arap_dof, default is 10 + % 'Image' deform an image rather than mesh (V,F are ignored). Followed by: + % im w by h by {1|3} image + % X x-coordinates of grid over image + % Y y-coordinates of grid over image + % 'ColorScheme' + % 'BBW' Use color scheme similar to [Jacobson et al 2011] + % 'MLS' Use Color scheme similar to "Image Deformation Using Moving + % Least Squares", by [Schaefer et al] + % 'Tets' followed by a #T by 4 list of tet indices + % 'ArapEnergy' + % followed by a string specifying which arap energy definition to use. + % One of the following: + % 'spokes' "As-rigid-as-possible Surface Modeling" by [Sorkine and + % Alexa 2007], rotations defined at vertices affecting incident + % edges + % 'elements' "A local-global approach to mesh parameterization" by + % [Liu et al. 2010] or "A simple geometric model for elastic + % deformation" by [Chao et al. 2010], rotations defined at + % elements (triangles or tets) + % 'spokes-and-rims' Adapted version of "As-rigid-as-possible Surface + % Modeling" by [Sorkine and Alexa 2007] presented in section 4.2 of + % or "A simple geometric model for elastic deformation" by [Chao et + % al. 2010], rotations defined at vertices affecting incident + % edges and opposite edges + % 'Stripes' followed by number of strips and dimension to use for stripes + % 'ControlGroups' followed by #C by 1 list of group ids + % group control handles, so that when one in a group is selected and + % deformed the deformation is applied to all in the group + % Output: + % this object giving access to plot handles and input variables of + % deformation and deformation plots + % + % Example: + % % given a texture (im,alpha) use a deform class instance (d) to show a + % % deformed image + % [oim, oalpha] = ... + % texture_map([d.new_V d.W(:,2)],d.F,texture_coords(d.V),im,alpha); + % + % + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Read only class fields + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + properties(GetAccess=public,SetAccess=protected) + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Domain + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % number of mesh vertices + n + % number of control vertices + c + % mesh vertex positions + V + % mesh connectivity + F + % tet mesh connectivity + Tets = []; + % control point positions + C + % indices of closest mesh vertices to C + b + % point handles, indices into C + P + % bone handles, #B by 2 list of bone endpoints, indices into C + BE = []; + % cage edges, #CE by 2 list of cage edge endpoints, indices into P + CE = []; + % image + im + % grid dimensions + grid_h + grid_w + % flag whether using grid + grid = false; + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Deformation + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % method used for deformation updates + deform_method = 'skinning'; + % custom deform function handle + custom_deform + % energy for solving arap, default is Sorkine and Alexa + arap_energy = 'spokes'; + % pose rotations of point handles + R + % pose positions of control vertices + new_C + % pose mesh vertex positions + new_V + % plot handle to scatter plot of interpolated handles + ch + %% plot handle to scatter plot of free handles + %fch + % Pose transformatiosn of handles + TR + % moving least squares data + mlsd + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Skinning + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % skinning weights + W = []; + % Skinning transformations + L = []; + % interpolation mode: + % LBS + % DQLBS + interp_mode = 'LBS'; + % use stretchable, twistable bones deformation formula + stretch_bones = false; + % endpoint weights for stretch, twistable bones skinning, or incident bone + % weights for stiff points skinning + WBE = []; + % use stiff points deformation formula + stiff_points = false; + % use automatically computed degrees of freedom at point handles + auto_dof = 'none'; + % pseudo-edges for auto_dof + PE = []; + % use paritioning of mesh into groups to speed up auto_dof + G = []; + % list of "free" point handles, indices into P + free = []; + % list of "fixed" point handles, indices into P + fixed = []; + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Plots + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % plot handle to main triangle mesh plot + tsh + % handle to grid warp plot + gsh + % plot handle to weight visualization plot + wvsh + % plot handle to rotation visualization plot + rvsh + % plot handle to pixel difference visulation plot + wpdsh + % show weight visualization off to right + visualize_weights = false; + % show rotation visualization off to right + visualize_rotations = false; + % weights used for weight visualization + WVW + % show contour plot off to right + show_contour = false; + % weights used for contour plots + CW + % number of levels in contour plot + contour_levels = 10; + % show pixel difference of deformation with W and W_other off to right + show_pixel_diff = false; + % other weights used to compute pixel difference + W_other = []; + % color mesh according to partitioning groups + color_by_groups = false; + % color mesh according to rotations fit at each vertex cell + color_by_rotations = false; + % depth order + depth_ordering + % color scheme + color_scheme = 'BBW' + % stripes + stripe_num = 0 + stripe_dim = 1 + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Slaves + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % list of slaves + slaves = []; + % internal flag used for controlling slaves + slave_seen = true; + % main plot axis handle + ah + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Interaction + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % flag for whether controls are currently being clicked down (dragged) on + is_down = false; + % keep track of down position + down_pos = []; + % vector from camera plane to axes front + cp2cf = []; + % keep track of last two drag positions + drag_pos = []; + last_drag_pos = []; + % keep track of index of selected control point + ci; + % Control groups + CG = []; + % select fixed vertices in groups + flood_fill_sel; + % type of click ('left','right') + down_type = ''; + win_max = []; + win_min = []; + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Other + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + max_iterations = 10; + stretch_ratio = 0; + tol = 0.01; + % use last frame to initialize deformation updates + use_last_frame = true; + end + + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Private class fields + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + properties(Access=private) + % Precomputation for arap automatic degrees of freedom + Lall = []; + % number of subplots in figure window + number_of_subplots; + % number of point handles + np + % number of bone handles + nb + % extra column for each mesh vertex position: depth + Zdepth + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Handles to plot elements + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + B_plot_outer + B_plot_inner + CE_plot_outer + CE_plot_inner + PE_plot + Wr + contour_handle + end + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Public Class methods + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + methods(Access=public) + + function this = deform(varargin) + % See also: deform + + % parse mandatory input + [this,remaining_inputs] = this.parse_mandatory_inputs(varargin); + % Parse additional options + this = this.parse_optional_inputs(remaining_inputs); + % Set up plots + this = this.init_plots(); + % set up axes + this = this.set_axes(); + % Prompt user + if(this.visualize_weights || this.show_contour) + fprintf(['\nCLICK a control point to visualize its corresponding ' ... + 'weights.\n']); + end + fprintf( ... + ['DRAG a control point to deform the mesh.\n' ... + 'RIGHT CLICK DRAG a control point to rotate point handles.\n\n']); + return + end + + function free_bone_endpoint_indicesC = free_bone_endpoint_indices(this) + % deform.FREE_BONE_ENDPOINT_INDICES return set of indices into C that are + % free bone end points + % + all_BE = unique(this.BE(:))'; + free_bone_endpoint_indicesC = all_BE(ismember(all_BE,this.free)); + end + + + function interpolatedC = interpolated(this) + % deform.INTERPOLATED return set of indices into C that are NOT in free + % + all = 1:size(this.C,1); + interpolatedC = all(~ismember(all,this.free)); + end + + function this = set_axes(this) + % deform.SET_AXES enlarges the main plot window's axes to fit + % current mesh and control points + % + + % don't set axes if dimension are greater than 2 + + if(this.grid) + X = get(this.gsh,'XData'); + Y = get(this.gsh,'YData'); + cur_V = [X(:) Y(:)]; + else + cur_V = get(this.tsh,'Vertices'); + end + cur_V = cur_V(:,1:size(this.V,2)); + + % scale window to fit + this.win_min = min([this.win_min; ... + cur_V; ... + this.new_C([this.interpolated() this.free_bone_endpoint_indices()],:)]); + this.win_max = max([this.win_max; ... + cur_V; ... + this.new_C([this.interpolated() this.free_bone_endpoint_indices()],:)]); + this.win_max(this.win_min==this.win_max) = this.win_max(this.win_min==this.win_max)+eps; + [az,el]= view(this.ah); + axis(this.ah,reshape([this.win_min;this.win_max],1,2*size(cur_V,2))); + view(this.ah,az,el); + + % update slave deform objects + if this.is_down + % BFS to mark all reachable slaves + slaves = this.slaves; + slaves_Q = this.slaves; + while numel(slaves_Q) > 0 + that = slaves_Q(end); + slaves_Q = slaves_Q(1:(end-1)); + if (this ~= that) && that.slave_seen + that.slave_seen = false; + slaves = [slaves that.slaves]; + slaves_Q = [slaves_Q that.slaves]; + end + end + % be sure there are no repeats + slaves = setdiff(unique(slaves),[this]); + if ~isempty(slaves) + for that = slaves + that.slave_seen = true; + %assert(this ~= that); + if ~that.is_down + that.set_axes(); + end + end + end + end + end + + function this = append_slaves(this,thats) + % APPEND_SLAVES append a deform class as a slave to this class. When a + % user changes controls of this class the slave classes will + % automatically follow + % + % this = append_slaves(this,thats) + % + % Inputs: + % this master deform object + % thats list of slave deform objects + % Outputs: + % this copy of input this with updated slaves + % + this.slaves = [this.slaves thats]; + end + + function this = set_new_C(this,new_C) + this.new_C = new_C; + this.update_positions(); + end + + function this = update_positions(this) + % update mesh positions + % + title(this.ah,'Updating...'); + drawnow + + % Set initial guess to current deformed vertex positions + guess = []; + if(this.use_last_frame) + guess = this.new_V; + end + + % Force one-ring around each control point to translate with control point + b1 = this.b; + bc1 = this.new_C; + clamp_one_rings = false; + if clamp_one_rings + indices = 1:size(this.V,1); + % clamp to left and right of two point handles + left=indices(this.V(:,1)this.C(2,1)); + b1 = [ left right]; + bc1 = [... + this.V(left,:) + ... + repmat(this.new_C(1,:)-this.C(1,:),numel(left),1); ... + this.V(right,:) + ... + repmat(this.new_C(2,:)-this.C(2,:),numel(right),1)]; + %A = adjacency_list(this.F,this.b); + %for ii = 1:size(A,1) + % b1 = [b1 A{ii}]; + % bc1 = [bc1; ... + % this.V(A{ii},:) + ... + % repmat(this.new_C(ii,:) - ... + % this.V(this.b(ii),:),size(A{ii},2),1)]; + %end + end + + switch this.deform_method + case 'mls' + this.new_V = MLSD2DTransform(this.mlsd,this.new_C')'; + case 'arap' + if isempty(this.Tets) + this.new_V = arap( ... + this.V,this.F,b1,bc1, ... + 'V0',guess,'MaxIter',this.max_iterations, ... + 'Energy',this.arap_energy, ... + 'Groups', this.G,'Tol',this.tol); + else + this.new_V = arap( ... + this.V,this.Tets,b1,bc1, ... + 'V0',guess,'MaxIter',this.max_iterations, ... + 'Energy',this.arap_energy, ... + 'Groups', this.G,'Tol',this.tol); + end + case 'takeo-arap-iterative' + this.new_V = takeo_arap( ... + this.V,this.F,b1,bc1, ... + 'V0',guess,'MaxIter',this.max_iterations, ... + 'Groups', this.G,'Tol',this.tol); + case 'takeo-arap' + this.new_V = takeo_arap(this.V,this.F,b1,bc1); + case 'takeo-asap' + this.new_V = takeo_asap(this.V,this.F,b1,bc1); + case 'lscm' + this.new_V = lscm(this.V,this.F,b1,bc1); + case 'laplacian-mesh-editing' + this.new_V = ... + iterative_laplacian_mesh_editing(this.V,this.F,b1,bc1); + case 'iterative-laplacian-mesh-editing' + this.new_V = iterative_laplacian_mesh_editing( ... + this.V,this.F,b1,bc1, ... + 'V0',guess,'MaxIter',this.max_iterations, 'Tol',this.tol); + case 'skinning' + % update mesh positions into this.new_V + assert(~clamp_one_rings); + this = skinning_update(this); + case 'custom' + this.new_V = this.custom_deform(this.V,this.F,b1,bc1); + otherwise + error(['''' this.deform_method '''is not a valid deformation method.']); + end + + % replace nan entries with original entries + this.new_V(isnan(this.new_V)) = this.V(isnan(this.new_V)); + %this.new_V = this.V; + + % update plots with this.new_V + this = this.update_display_positions(); + % update subplot visualizations + this = this.update_visualizations(); + + % update slaves + this = this.update_slaves(); + title(this.ah,''); + + end + + end% public methods + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Strictly private methods + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % MATLAB <2011 needs this to be public + %methods(Access=private) + methods(Access=public) + function [this,remaining_inputs] = parse_mandatory_inputs(this,inputs) + % parse mandatory inputs + % + + % vertex positions of mesh + this.V = inputs{1}; + % face indices of mesh + this.F = inputs{2}; + % control vertices of skeleton + this.C = inputs{3}; + % pass on remaining inputs + remaining_inputs = inputs(4:end); + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Set defaults for parameters which depend on input + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % set default point handles + this.P = 1:size(this.C,1); + % Be sure that control vertices are in 2D + if(size(this.C,2) == 3 && size(this.V,2) == 2) + warning('Discarding z-coordinates in C'); + this.C = this.C(:,1:2); + end + % control groups + this.CG = 1:size(this.C,1); + % main plot axis dimensions, min and mix + win_min = repmat(inf,1,size(this.V,2)); + win_max = repmat(-inf,1,size(this.V,2)); + end + + function this = parse_optional_inputs(this,remaining_inputs) + % parse remaining optional inputs + % + + ii = 1; + % number of remaining inputs + num_ri = numel(remaining_inputs); + while(ii <= numel(remaining_inputs)) + switch remaining_inputs{ii} + case 'DeformMethod' + ii = ii + 1; + assert(ii<=num_ri); + assert(ischar(remaining_inputs{ii})); + this.deform_method = remaining_inputs{ii}; + % some deformation methods are followed by extra arguments + switch this.deform_method + case 'skinning' + ii = ii + 1; + assert(ii<=num_ri); + assert(isfloat(remaining_inputs{ii})); + this.W = remaining_inputs{ii}; + % Weights used for contours + if isempty(this.CW) + this.CW = this.W; + end + % Weights used for weight visualization + if isempty(this.WVW) + this.WVW = this.W; + end + case 'mls' + ii = ii + 1; + assert(ii<=num_ri); + assert(isstruct(remaining_inputs{ii})); + this.mlsd = remaining_inputs{ii}; + % Weights used for contours + if isempty(this.CW) + this.CW = this.mlsd.w'; + end + % Weights used for weight visualization + if isempty(this.WVW) + this.WVW = this.mlsd.w'; + end + case 'custom' + ii = ii + 1; + assert(ii<=num_ri); + assert(isa(remaining_inputs{ii}, 'function_handle')); + this.custom_deform = remaining_inputs{ii}; + end + case 'PointHandles' + ii = ii + 1; + assert(ii<=num_ri); + this.P = remaining_inputs{ii}; + case 'BoneEdges' + ii = ii + 1; + assert(ii<=num_ri); + this.BE = remaining_inputs{ii}; + case 'CageEdges' + ii = ii + 1; + assert(ii<=num_ri); + this.CE = remaining_inputs{ii}; + case 'InterpMode' + ii = ii + 1; + assert(ii<=num_ri); + if( strcmp(remaining_inputs{ii},'LBS')) + this.interp_mode = 'LBS'; + elseif( strcmp(remaining_inputs{ii},'DQLBS')) + this.interp_mode = 'DQLBS'; + else + error('InterpMode must be either LBS or DQLBS'); + end + case 'StretchBones' + ii = ii + 1; + assert(ii<=num_ri); + this.WBE = remaining_inputs{ii}; + this.stretch_bones = true; + case 'StiffPoints' + ii = ii + 1; + assert(ii<=num_ri); + this.WBE = remaining_inputs{ii}; + this.stiff_points= true; + case 'AutoDOF' + ii = ii + 1; + assert(ii<=num_ri); + this.auto_dof = remaining_inputs{ii}; + case 'PseudoEdges' + ii = ii + 1; + assert(ii<=num_ri); + this.PE = remaining_inputs{ii}; + case 'Groups' + ii = ii + 1; + assert(ii<=num_ri); + this.G = remaining_inputs{ii}; + case 'Free' + ii = ii + 1; + assert(ii<=num_ri); + this.free = remaining_inputs{ii}; + case 'Fixed' + ii = ii + 1; + assert(ii<=num_ri); + this.fixed = remaining_inputs{ii}; + case 'UseLastFrame' + ii = ii + 1; + assert(ii<=num_ri); + this.use_last_frame = remaining_inputs{ii}; + case 'VisualizeWeights' + this.visualize_weights = true; + case 'VisualizeRotations' + this.visualize_rotations = true; + case 'WeightVisualizationWeights' + ii = ii + 1; + assert(ii<=num_ri); + this.WVW = remaining_inputs{ii}; + case 'ShowContour' + this.show_contour = true; + case 'ContourLevels' + ii = ii + 1; + assert(ii<=num_ri); + this.contour_levels = remaining_inputs{ii}; + case 'ContourWeights' + ii = ii + 1; + assert(ii<=num_ri); + this.CW = remaining_inputs{ii}; + case 'ShowPixelDiff' + ii = ii + 1; + assert(ii<=num_ri); + this.Wother = remaining_inputs{ii}; + this.show_pixel_diff = true; + case 'ColorByGroups' + ii = ii + 1; + assert(ii<=num_ri); + this.color_by_groups = remaining_inputs{ii}; + case 'ColorByRotations' + ii = ii + 1; + assert(ii<=num_ri); + this.color_by_rotations = remaining_inputs{ii}; + case 'DepthOrdering' + ii = ii + 1; + assert(ii<=num_ri); + this.depth_ordering = remaining_inputs{ii}; + case 'Tol' + ii = ii + 1; + assert(ii<=num_ri); + this.tol = remaining_inputs{ii}; + case 'MaxIter' + ii = ii + 1; + assert(ii<=num_ri); + this.max_iterations = remaining_inputs{ii}; + %case 'StretchRatio' + % ii = ii + 1; + % assert(ii<=num_ri); + % this.stretch_ratio = remaining_inputs{ii}; + case 'Image' + this.grid = true; + ii = ii + 1; + assert(ii<=num_ri); + this.im = remaining_inputs{ii}; + ii = ii + 1; + assert(ii<=num_ri); + X = remaining_inputs{ii}; + ii = ii + 1; + assert(ii<=num_ri); + Y = remaining_inputs{ii}; + this.grid_h = size(X,1); + this.grid_w = size(X,2); + % positions of vertices in grid + this.V = [X(:) Y(:)]; + case 'ColorScheme' + ii = ii + 1; + assert(ii<=num_ri); + this.color_scheme = remaining_inputs{ii}; + case 'Tets' + ii = ii + 1; + assert(ii<=num_ri); + this.Tets = remaining_inputs{ii}; + case 'ArapEnergy' + ii = ii + 1; + assert(ii<=num_ri); + this.arap_energy = remaining_inputs{ii}; + case 'Stripes' + ii = ii + 1; + assert(ii<=num_ri); + this.stripe_num = remaining_inputs{ii}; + ii = ii + 1; + assert(ii<=num_ri); + this.stripe_dim = remaining_inputs{ii}; + case 'ControlGroups' + ii = ii + 1; + assert(ii<=num_ri); + this.CG = remaining_inputs{ii}; + otherwise + error(['''' remaining_inputs{ii} ''' is not a valid parameter']); + end + ii = ii + 1; + end + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Set values that may depend on extra parameters + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + % checking parameters based on deformation method given + switch this.deform_method + case 'skinning' + if isempty(this.W) + % use shepard weights as a default + warning(['''skinning'' chosen as deformation method but no ' ... + 'weights provided. Using shepard weights...']); + end + m = numel(this.P) + size(this.BE,1); + if size(this.W,2) < (numel(this.P) + size(this.BE,1)) + error('Too few weights given'); + elseif (size(this.W,2) > m) + warning('Too many weights given, assuming remaing weights are ''free'''); + % put all point handles positions at front of C and append zeros + % for extra weights + old_nc = size(this.C,1); + this.C = [ this.C; zeros(size(this.W,2)-m,size(this.C,2))]; + % add extra weights to free handles + this.free = unique([this.free old_nc+(1:(size(this.W,2)-m))]); + % rearrange extra weights to come in between real point handles and + % bones + this.W = this.W(:, [ ... + 1:numel(this.P) ... % point weights + (m+1):size(this.W,2) ... % extra "free" weights + (numel(this.P)+1):m ... % bone weights + ]); + % remap fixed indices to new locations + this.fixed(this.fixed > numel(this.P)) = ... + this.fixed(this.fixed > numel(this.P)) + (size(this.W,2)-m); + % point handles for each control position + this.P = [this.P old_nc+(1:(size(this.W,2)-m))]; + else + assert(size(this.W,2) == (numel(this.P) + size(this.BE,1))); + end + case 'takeo-arap' + % force max iterations to be 1 + this.max_iterations = 1; + end + + % if endpoint weights exist then there better be bones and the right + % number of them + assert(isempty(this.WBE) || size(this.WBE,2) == size(this.BE,1)) + % number of point handles + this.np = numel(this.P); + % number of bone handles + this.nb = size(this.BE,1); + % pose positions of control points + this.new_C = this.C; + % rotations (angles) stored at each control point + switch size(this.V,2) + case 2 + this.R = zeros(this.np,1); + case 3 + this.R = repmat(eye(3,3),[1 1 this.np]); + end + + if isempty(this.W) + this.W = shepard(this.V,this.C,this.P,this.BE,[]); + end + + if size(this.V,2) == 2 + % depth ordering + this.depth_ordering = 1:(size(this.W,2)); + end + + if numel(this.G) == 1 + % given number of groups rather than group ids + this.G = partition(this.W,this.G); + end + + % number of mesh vertices + this.n = size(this.V, 1); + % number of control vertices + this.c = size(this.C,1); + assert(size(this.V,2) == size(this.C,2)); + % compute distance from every vertex in the mesh to every control vertex + D = permute(sum((repmat(this.V,[1,1,this.c]) - ... + permute(repmat(this.C,[1,1,this.n]),[3,2,1])).^2,2),[1,3,2]); + % use distances to determine closest mesh vertex to each control vertex + % Cv(i) is closest vertex in V to ith control vertex in C + [XXX,this.b] = min(D); + + % if number of unique closest mesh vertices is less than total number, + % then we have contradictory boundary conditions + if(~all(size(unique(this.b)) == size(this.b))) + warning('Multiple control vertices snapped to the same domain vertex'); + end + + % if using last frame then prepare new_V with rest positions + if(this.use_last_frame) + this.new_V = this.V; + end + end + + function this = init_plots(this) + % Initialize main plot and subplots as needed + % + + % Set up figure with enough subplots for any additional visualizations + % clear current figure + clf + % compute number of subplot depending on + this.number_of_subplots = 1 + ... + this.visualize_weights + ... + this.visualize_rotations + ... + this.show_contour + ... + this.show_pixel_diff; + current_subplot = 1; + if(this.number_of_subplots>1) + % only use subplots if we have more than one + subplot(1,this.number_of_subplots,1); + end + this = this.init_main_plot(); + + % Contour plot + if(this.show_contour) + assert(~this.grid); + current_subplot = current_subplot + 1; + assert(all(size(this.CW) == size(this.W))); + % Put contour plot and isolines in other subplot + subplot(1,this.number_of_subplots,current_subplot); + this = this.init_contour_plot(); + end + % pixel diff plot + if(this.show_pixel_diff) + assert(~this.grid); + current_subplot = current_subplot + 1; + % subplot for weight visualization + subplot(1,this.number_of_subplots,current_subplot); + assert(all(size(this.Wother) == size(this.W))); + hold on; + % plot rest mesh + this.wpdsh = ... + trisurf(this.F,this.V(:,1),this.V(:,2),zeros(size(this.V,1),1), ... + 'FaceColor','interp'); + colorbar; + view(2); + axis equal + hold off; + end + % weight visualization plot + if(this.visualize_weights) + assert(~this.grid); + current_subplot = current_subplot + 1; + % subplot for weight visualization + subplot(1,this.number_of_subplots,current_subplot); + assert(all(size(this.CW) == size(this.W))); + hold on; + % plot the original mesh + this.wvsh = ... + trisurf(this.F,this.V(:,1),this.V(:,2),zeros(size(this.V,1),1), ... + 'FaceColor','interp','FaceLighting','phong','EdgeColor','none'); + colormap(get(this.wvsh,'Parent'),jet(10)); + view(2); + axis equal + hold off; + end + % rotation visualization plot + if(this.visualize_rotations) + assert(~this.grid); + current_subplot = current_subplot + 1; + % subplot for weight visualization + subplot(1,this.number_of_subplots,current_subplot); + hold on; + % plot the original mesh + this.rvsh = ... + trisurf(this.F,this.V(:,1),this.V(:,2),zeros(size(this.V,1),1), ... + 'FaceColor','interp','EdgeColor','interp'); + % initial values: 0 + set(this.tsh,'CData',zeros(size(this.V,1),1)); + % set color span + caxis([-pi/2 pi/2]); + view(2); + axis equal + axis manual + hold off; + end + end %init_plots + + function this = init_main_plot(this) + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Main plot + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % compute depth offsets based on weights + depth_offset = repmat(linspace(0,-1e5,size(this.W,2)),size(this.V,1),1); + if size(this.V,2) == 2 + this.Zdepth = sum(depth_offset(:,this.depth_ordering).*this.W,2); + this.Zdepth(isnan(this.Zdepth)) = -1e6; + end + % save axis handle + this.ah = gca; + + % plot the original mesh + if(this.grid) + this.gsh = warp( ... + reshape(this.V(:,1),this.grid_h,this.grid_w), ... + reshape(this.V(:,2),this.grid_h,this.grid_w), ... + reshape(this.Zdepth,this.grid_h,this.grid_w), ... + this.im); + else + if size(this.V,2) == 2 + this.tsh = trisurf(this.F,this.V(:,1),this.V(:,2),this.Zdepth, ... + 'FaceColor',[0.5 1 0.5]); + else + this.tsh = trisurf(this.F,this.V(:,1),this.V(:,2),this.V(:,3), ... + 'FaceColor',[0.5 1 0.5]); + end + % clicking on mesh counts as clicking on handle + click_on_mesh = true; + if click_on_mesh + set(this.tsh,'ButtonDownFcn',@this.oncontrolsdown); + end + if(this.color_by_groups) + set(this.tsh,'EdgeColor','interp'); + set(this.tsh,'FaceColor','interp'); + if ~isempty(this.G) + set(this.tsh,'CData',this.G); + else + % if groups are empty then use a "group for each vertex" + [s,randC] = sort(rand(size(this.V,1),1)); + set(this.tsh,'CData',randC); + end + elseif(this.color_by_rotations) + set(this.tsh,'EdgeColor','interp'); + set(this.tsh,'FaceColor','interp'); + set(this.tsh,'CData',zeros(size(this.V,1),1)); + caxis(this.ah,[-pi/2 pi/2]); + end + if this.stripe_num > 0 + if this.visualize_weights + warning('Stripes will not appear while visualizing weights'); + end + set(this.tsh, ... + 'FaceColor','interp','FaceLighting','phong', ... + 'CData',this.V(:,this.stripe_dim)); + colormap(this.ah,flag(this.stripe_num)); + end + end + % 2D view + view(2); + axis equal + % matlab's depth ordering is broken, this forces handles to display on + % top of grid + if(this.grid) + axis manual + end + % plot bones + hold on; + if(this.nb > 0) + % plot thick lines for bones (outline of lines) + this.B_plot_outer = plot( ... + [this.C(this.BE(:,1),1) this.C(this.BE(:,2),1)]', ... + [this.C(this.BE(:,1),2) this.C(this.BE(:,2),2)]', ... + '-k', ... + 'LineWidth',5); + % plot thin lines for bones (innerline of lines) + this.B_plot_inner = plot( ... + [this.C(this.BE(:,1),1) this.C(this.BE(:,2),1)]', ... + [this.C(this.BE(:,1),2) this.C(this.BE(:,2),2)]', ... + '-b', ... + 'LineWidth',2); + end + if(size(this.PE,1) > 0) + % plot lines for pseudo edges + this.PE_plot = plot( ... + [this.C(this.P(this.PE(:,1)),1) this.C(this.P(this.PE(:,2)),1)]', ... + [this.C(this.P(this.PE(:,1)),2) this.C(this.P(this.PE(:,2)),2)]', ... + '--r', ... + 'LineWidth',5); + end + if(size(this.CE,1) > 0) + % plot lines for cage edges + this.CE_plot_outer = plot( ... + [this.C(this.P(this.CE(:,1)),1) this.C(this.P(this.CE(:,2)),1)]', ... + [this.C(this.P(this.CE(:,1)),2) this.C(this.P(this.CE(:,2)),2)]', ... + '-k', ... + 'LineWidth',5); + this.CE_plot_inner = plot( ... + [this.C(this.P(this.CE(:,1)),1) this.C(this.P(this.CE(:,2)),1)]', ... + [this.C(this.P(this.CE(:,1)),2) this.C(this.P(this.CE(:,2)),2)]', ... + '-', ... + 'Color', [1 1 0.2], ... + 'LineWidth',2); + end + + % plot the control points (use 3D plot and fake a depth offset by pushing + % control points up in z-direction) + if size(this.V,2) == 2 + this.ch = scatter3( ... + this.C([this.interpolated() this.free_bone_endpoint_indices()],1), ... + this.C([this.interpolated() this.free_bone_endpoint_indices()],2), ... + 0.1+0*this.C([this.interpolated() this.free_bone_endpoint_indices()],1), ... + 'o','MarkerFaceColor',[0.9 0.8 0.1], 'MarkerEdgeColor','k',... + 'LineWidth',2,'SizeData',500, ... + 'ButtonDownFcn',@this.oncontrolsdown); + + else + this.ch = scatter3( ... + this.C([this.interpolated() this.free_bone_endpoint_indices()],1), ... + this.C([this.interpolated() this.free_bone_endpoint_indices()],2), ... + this.C([this.interpolated() this.free_bone_endpoint_indices()],3), ... + 'o','MarkerFaceColor',[0.9 0.8 0.1], 'MarkerEdgeColor','k',... + 'LineWidth',2,'SizeData',100, ... + 'ButtonDownFcn',@this.oncontrolsdown); + end + %this.fch = scatter3( ... + % this.C(this.free,1),this.C(this.free,2),0.1+0*this.C(this.free,1), ... + % 'o','MarkerFaceColor',[0.95 0.9 0.5], ... + % 'MarkerEdgeColor',[0.2 0.2 0.2], ... + % 'LineWidth',2,'SizeData',100, ... + % 'ButtonDownFcn',@this.oncontrolsdown); + hold off; + + switch this.color_scheme + case 'MLS' + set(this.ch, ... + 'Marker','s', ... + 'MarkerFaceColor','b','MarkerEdgeColor','b', ... + 'LineWidth',2,'SizeData',100); + set(gca, 'visible', 'off'); + set(gcf,'Color','white'); + case 'BBW' + %do nothing + otherwise + error(['''' this.color_scheme '''is not a valid color scheme.']); + end + if size(this.V,2) == 3 + axis manual; + end + end + + function this = init_contour_plot(this) + % precompute contour information for each handle + this.Wr = []; + fprintf('Precomputing contour information:\n'); + for(ii = 1:(this.np+this.nb)) + fprintf( ... + [ ' for handle ' num2str(ii) ... + ' out of ' num2str(this.np+this.nb) '...\n']); + [Xr,Yr,Wrii] = triinterp(this.V,this.F,this.CW(:,ii),true); + if(isempty(this.Wr)) + this.Wr = zeros([size(Wrii) (this.np+this.nb)]); + end + this.Wr(:,:,ii) = Wrii; + end + % display contour + hold on; + [XXX,this.contour_handle] = contourf(Xr,Yr,this.Wr(:,:,1)); + this.contour_levels = 20; + set(this.contour_handle,'LevelStepMode','Manual'); + set(this.contour_handle, ... + 'LevelStep',(max(this.CW(:))-min(this.CW(:)))/this.contour_levels); + axis equal + axis manual + hold off; + % Find all edges in mesh, note internal edges are repeated + E = sort( ... + [ this.F(:,1) this.F(:,2); ... + this.F(:,2) this.F(:,3); ... + this.F(:,3) this.F(:,1)],2); + % determine uniqueness of edges + [u,m,n] = unique(E,'rows'); + % determine counts for each unique edge + counts = accumarray(n(:), 1); + % extract edges that only occurred once + O = u(counts==1); + % display outline of mesh + line(this.V([O(:);O(1)],1),this.V([O(:);O(1)],2),'Color','k','LineWidth',1); + end + + % Callback for mouse down on controls points + function oncontrolsdown(this,src,ev) + this.is_down = true; + % tell window that drag and up events should be handled by controls + set(gcf,'windowbuttonmotionfcn',@this.oncontrolsdrag); + set(gcf,'windowbuttonupfcn', @this.oncontrolsup ); + set(gcf,'KeyPressFcn', @this.onkeypress ); + % gather type of click + if(strcmp('normal',get(gcf,'SelectionType'))) + % left-click + this.down_type = 'left'; + else + % other (right) click + this.down_type = 'right'; + end + % get current mouse position, and remember old one + this.down_pos = get(gca,'currentpoint'); + % get position of click halfway between front and back + middle_down_pos = mean(this.down_pos(:,1:size(this.V,2))); + % keep track of vector from camera plane and front plane of axes + cp = get(gca,'CameraPosition'); + ct = get(gca,'CameraTarget'); + % vector from camera position to camera target + cp2ct = ct-cp; + % length of vector from camera position to camera target + cp2ct_len = sqrt(sum(cp2ct.^2)); + % height of triangle between [cp,ct,down_pos] treating cp2ct as base + h = doublearea([cp;ct;this.down_pos],[1 2 3])/2/cp2ct_len; + % vector from cp to perpendicular bisector of base + this.cp2cf = sqrt(sum((this.down_pos(1,:)-cp).^2)-h.^2).*cp2ct./cp2ct_len; + % down position should have same dimension as V + this.down_pos = this.down_pos(1,1:size(this.V,2)); + % initialize last drag position to down position + this.last_drag_pos = this.down_pos; + % initialize drag position to down position + this.drag_pos = this.down_pos; + % keep track of control point positions at mouse down + if size(this.V,2) == 2 + this.new_C([this.interpolated() this.free_bone_endpoint_indices()],:) = ... + [get(this.ch,'XData')' get(this.ch,'YData')']; + else + this.new_C([this.interpolated() this.free_bone_endpoint_indices()],:) = ... + [get(this.ch,'XData')' get(this.ch,'YData')' get(this.ch,'ZData')']; + end + %this.new_C(this.free,:) = ... + % [get(this.fch,'XData')' get(this.fch,'YData')']; + % get index of closest control point + [XXX,this.ci] = ... + min(sum((this.new_C(:,1:size(this.V,2)) - ... + repmat(middle_down_pos,size(this.new_C,1),1)).^2,2)); + this.ci = [this.ci;setdiff(find(this.CG == this.CG(this.ci)),this.ci)]; + this = this.update_visualizations(); + end + + % Callback for mouse drag on control points + function oncontrolsdrag(this,src,ev) + % keep last drag position + this.last_drag_pos = this.drag_pos; + % get current mouse position + this.drag_pos = get(gca,'currentpoint'); + % handle dragging outside of axes + camera_depth = get(gca,'CameraPosition') - get(gca,'CameraTarget'); + drag_axis_depth = this.drag_pos(1,:) - this.drag_pos(2,:); + if sum((camera_depth - drag_axis_depth).^2) < eps + % "correct" drag pos front position + this.drag_pos(1,:) = this.drag_pos(1,:) + this.cp2cf; + end + % only keep front + this.drag_pos = this.drag_pos(1,1:size(this.V,2)); + + if(strcmp('left',this.down_type)) + % move selected control point by drag offset + this.new_C(this.ci,:) = ... + bsxfun(@plus,this.new_C(this.ci,:),this.drag_pos-this.last_drag_pos); + else + % control groups not suppported when specifying rotations + this.ci = this.ci(1); + % store rotation at *point* handle if selected + [found, iP] = ismember(this.ci,this.P); + if(found) + x_extent = max(this.V(:,1))-min(this.V(:,1)); + angle = 2*pi*(this.drag_pos(1)-this.last_drag_pos(1))/x_extent; + switch size(this.V,2) + case 2 + this.R(iP) = this.R(iP) + angle; + case 3 + this.R(:,:,iP) = ... + this.R(:,:,iP) * axisangle2matrix(drag_axis_depth,angle); + end + end + end + this = this.update_positions(); + end + + % Callback for mouse release of control points + function oncontrolsup(this,src,ev) + % Tell window to handle drag and up events itself + set(gcf,'windowbuttonmotionfcn',''); + set(gcf,'windowbuttonupfcn',''); + this = this.set_axes(); + this.is_down = false; + end + + function onkeypress(this,src,ev) + % default is to not update on keystrok + need_to_update = false; + switch ev.Character + case 'r' + % reset to bind positions, identity rotations + this.new_C = this.C; + switch size(this.V,2) + case 2 + this.R = zeros(this.np,1); + case 3 + this.R = repmat(eye(3,3),[1 1 this.np]); + end + need_to_update = true; + case 'u' + % force update + need_to_update = true; + end + + % only update positions if needed + if need_to_update + % simulate mouse down, up + old_is_down = this.is_down; + this.is_down = true; + this = this.update_positions(); + this.is_down = old_is_down; + end + end + + function this = update_visualizations(this) + % Update visualization to show weights if selected *point* handle + % + + if ~isempty(this.ci) + % try to find ci in list of point handles + [found, iP] = ismember(this.ci(1),this.P); + if(found) + % change weights in contour plot + if(this.show_contour) + set(contour_handle,'ZData',this.Wr(:,:,iP)); + set(contour_handle,'LevelStep', ... + (max(this.CW(:,iP))-min(this.CW(:,iP)))/contour_levels); + end + % change weights in weight visualization + if(this.visualize_weights) + set(this.wvsh,'CData',this.WVW(:,iP)); + V = get(this.wvsh,'Vertices'); + V(:,3) = max(max(V(:,1:2))-min(V(:,1:2))).*this.WVW(:,iP); + set(this.wvsh,'Vertices',V); + [az,el]= view(get(this.wvsh,'Parent')); + axis(get(this.wvsh,'Parent'),'tight'); + view(az,el); + end + end + end + + % change rotations in weight visualization + if(this.visualize_rotations) + % fit rotations to current positions + CSM = covariance_scatter_matrix(this.V,this.F); + dim = size(this.V,2); + % dim by dim by n list of covariance matrices + S = CSM*repmat(this.new_V,dim,1); + S = permute(reshape(S,[size(CSM,1)/dim dim dim]),[2 3 1]); + [R,~] = fit_rotations(S); + % convert matrices to signed angles + r = asin(squeeze(R(1,2,:))); + %r = squeeze(SS(2,2,:)./SS(1,1,:))'; + %r = (r.^(1/4))*pi-pi/2; + %%r = (r-min(r))/(max(r)-min(r)); + set(this.rvsh,'CData',r); + end + end + + end%private methods + + methods(Access=protected) + + function this = skinning_update(this) + % update mesh positions using skinning, using appropriate method based on + % interp_mode field + % + if(strcmp(this.interp_mode,'LBS')) + this = this.lbs_update(); + elseif(strcmp(this.interp_mode,'DQLBS')) + % USING DUAL QUATERNION SKINNING + % number of handles + m = numel(this.P)+size(this.BE,1); + % dimension (2 or 3) + dim = size(this.C,2); + + % update transformations based on given automatic degrees of freedom method + old_R = this.R; + if ~strcmp(this.auto_dof,'none') + this = this.auto_dof_update(); + X = repmat([1 0],m,1); + RX = stacktimes(this.TR(1:dim,1:dim,:),X); + X = [X zeros(m,1)]; + RX = [RX zeros(m,1)]; + [AX,AN] = axisanglebetween(X,RX,[0 0 1]); + switch size(this.V,2) + case 2 + this.R = this.R + AX(1:this.np,3).*AN(1:this.np); + case 3 + error('Not supported'); + end + end + + % convert angles around z-axis to quaternions + [T,AX,AN,Sm,O] = ... + skinning_transformations(this.C,this.P,this.BE,this.new_C,this.R); + % restore rotation + this.R = old_R; + + % Extract scale + this.TR = zeros(dim,dim+1,m); + this.TR(1:dim,1:dim,:) = Sm; + Sm = reshape(Sm,[dim dim*m])'; + this.TR(1:dim,dim+1,:) = permute(O-stacktimes(Sm,O),[2 3 1]); + % Perform scale as linear blend skinning, before translations and + % rotations + [this.new_V] = lbs(this.V(:,1:dim),this.TR,this.W); + % convert rotations to axis angle + Q = axisangle2quat(AX,AN); + % quattrans2udq expect 3D translations, so pad with zeros + T = [T zeros(size(T,1),1)]; + % convert quaternions and translations into dualquaternions + DQ = quattrans2udq(Q,T); + % compute deformation using dual quaternion skinning + this.new_V = dualquatlbs(this.new_V,DQ,this.W); + end + + end + + function this = lbs_update(this) + % update mesh positions using skinning + % + + % get transformations stored at each point and bone handle + this.TR = ... + skinning_transformations(this.C,this.P,this.BE,this.new_C,this.R); + % update transformations based on given automatic degrees of freedom method + this = this.auto_dof_update(); + + dim = size(this.C,2); + if(this.stretch_bones) + % stretchable twistable bones skinning + this.new_V = zeros(size(this.V)); + % point handles + this.new_V = ... + this.new_V + ... + lbs(this.V(:,1:dim),this.TR(:,:,1:this.np),this.W(:,1:this.np)); + % stretchable bones + this.new_V = ... + this.new_V + ... + stretch_bones_lbs( ... + this.V(:,1:dim), ... + this.C, ... + this.BE, ... + this.new_C, ... + this.W(:, ... + this.np+(1:this.nb)), ... + this.WBE); + elseif(this.stiff_points) + % stiff points lbs + this.new_V = ... + stiff_points_lbs( ... + this.V(:,1:dim), ... + this.C, ... + this.P, ... + this.BE, ... + this.new_C, ... + this.W, ... + this.WBE); + else + % regular linear blend skinning + [this.new_V] = lbs(this.V(:,1:dim),this.TR,this.W); + if(this.show_pixel_diff) + [this.other_V] = lbs(this.V(:,1:dim),this.TR,this.Wother); + end + end + end + + function [this] = auto_dof_update(this) + % compute degrees of freedom automatically based on control point + % positions + + % handle case where all handles are fixed + indices = 1:(this.np+this.nb); + if(all(ismember(indices,this.fixed))) + return; + end + + % displacements of *point* handles + D = this.new_C(this.P,:)-this.C(this.P,:); + + switch this.auto_dof + case 'arap' + % Compute as rigid as possible *point* handle degrees of freedom + % doesn't work with bones + [this.L,this.new_C] = ... + arap_dof( ... + this.V,this.F,this.W, ... + this.C,this.P,this.BE,this.new_C, ... + 'L0',this.L, ... + ... %'CovarianceScatterMatrix',this.Lall, ... + 'Groups',this.G, ... + 'Free',this.free, ... + 'Fixed',this.fixed,this.TR(:,:,this.fixed), ... + 'Tol', this.tol, ... + 'MaxIter', this.max_iterations); + dim = size(this.V,2); + % place L into TR in appropriate place + this.TR(:,:,1:(this.np+this.nb)) = ... + permute(reshape(this.L,[this.np+this.nb dim dim+1]),[2 3 1]); + case 'pseudoedges' + switch size(this.V,2) + case 2 + Q = axisangle2quat(repmat([0 0 1],this.np,1),this.R); + case 3 + Q = dcm2quat(this.R); + end + % compute rotations using pseudoedges + this.TR(:,:,1:this.np) = ... + pseudoedge_dof( ... + this.C(this.P,:), ... + this.PE,this.new_C(this.P,:)-this.C(this.P,:), ... + Q); + case 'none' + % do nothing + otherwise + error(['''' this.autodof ''' is not a valid AutoDOF value']); + end + end + + function this = update_display_positions(this) + % update display positions + % + + % update mesh positions in main plot + if(this.grid) + set(this.gsh,'XData',reshape(this.new_V(:,1),this.grid_h,this.grid_w)); + set(this.gsh,'YData',reshape(this.new_V(:,2),this.grid_h,this.grid_w)); + if this.color_by_rotations + assert(false); + end + else + if size(this.V,2) == 2 + set(this.tsh,'Vertices',[this.new_V(:,1:2) this.Zdepth]); + else + set(this.tsh,'Vertices',this.new_V); + end + % update color by rotations + if this.color_by_rotations + % fit rotations to current positions + R = fit_rotations(this.V,this.F,this.new_V); + % convert matrices to signed angles + r = asin(squeeze(R(1,2,:))); + set(this.tsh,'CData',r); + end + end + + % update pixel difference plot + if(this.show_pixel_diff) + pixel_diff = normrow(this.other_V - this.new_V); + set(this.wpdsh,'CData',pixel_diff); + end + + % update control point positions + set(this.ch,'XData', ... + this.new_C([this.interpolated() this.free_bone_endpoint_indices()],1)); + set(this.ch,'YData', ... + this.new_C([this.interpolated() this.free_bone_endpoint_indices()],2)); + if size(this.V,2) == 3 + set(this.ch,'ZData', ... + this.new_C([this.interpolated() this.free_bone_endpoint_indices()],3)); + end + %set(this.fch,'XData',this.new_C(this.free,1)); + %set(this.fch,'YData',this.new_C(this.free,2)); + % update bone plots + if(this.nb > 0) + set(this.B_plot_outer,{'XData'}, num2cell([ ... + this.new_C(this.BE(:,1),1) ... + this.new_C(this.BE(:,2),1)],2)); + set(this.B_plot_outer,{'YData'}, num2cell([ ... + this.new_C(this.BE(:,1),2) ... + this.new_C(this.BE(:,2),2)],2)); + set(this.B_plot_inner,{'XData'}, num2cell([ ... + this.new_C(this.BE(:,1),1) ... + this.new_C(this.BE(:,2),1)],2)); + set(this.B_plot_inner,{'YData'}, num2cell([ ... + this.new_C(this.BE(:,1),2) ... + this.new_C(this.BE(:,2),2)],2)); + end + % update pseudo edge plots + if(size(this.PE,1)>0) + set(this.PE_plot,{'XData'}, num2cell([ ... + this.new_C(this.P(this.PE(:,1)),1) ... + this.new_C(this.P(this.PE(:,2)),1)],2)); + set(this.PE_plot,{'YData'}, num2cell([ ... + this.new_C(this.P(this.PE(:,1)),2) ... + this.new_C(this.P(this.PE(:,2)),2)],2)); + end + % update cage edge plots + if(size(this.CE,1)>0) + set(this.CE_plot_outer,{'XData'}, num2cell([ ... + this.new_C(this.P(this.CE(:,1)),1) ... + this.new_C(this.P(this.CE(:,2)),1)],2)); + set(this.CE_plot_outer,{'YData'}, num2cell([ ... + this.new_C(this.P(this.CE(:,1)),2) ... + this.new_C(this.P(this.CE(:,2)),2)],2)); + set(this.CE_plot_inner,{'XData'}, num2cell([ ... + this.new_C(this.P(this.CE(:,1)),1) ... + this.new_C(this.P(this.CE(:,2)),1)],2)); + set(this.CE_plot_inner,{'YData'}, num2cell([ ... + this.new_C(this.P(this.CE(:,1)),2) ... + this.new_C(this.P(this.CE(:,2)),2)],2)); + end + end + + + function this = update_slaves(this) + % + % update slave deform objects + if this.is_down + % BFS to mark all reachable slaves + slaves = this.slaves; + slaves_Q = this.slaves; + while numel(slaves_Q) > 0 + that = slaves_Q(end); + slaves_Q = slaves_Q(1:(end-1)); + if (this ~= that) && that.slave_seen + that.slave_seen = false; + slaves = [slaves that.slaves]; + slaves_Q = [slaves_Q that.slaves]; + end + end + % be sure there are no repeats + slaves = setdiff(unique(slaves),[this]); + if ~isempty(slaves) + for that = slaves + that.slave_seen = true; + %assert(this ~= that); + if ~that.is_down + % control assume master controls correspond to beginning of slave + % controls + % Only control as many handles of slave as possible + nc = min(size(this.new_C,1),size(that.new_C,1)); + switch size(this.V,2) + case 2 + nr = min(size(this.R,1), size(that.R,1)); + that.R(1:nr) = this.R(1:nr); + case 3 + nr = min(size(this.R,3), size(that.R,3)); + that.R(:,:,1:nr) = this.R(:,:,1:nr); + end + that.new_C(1:nc,:) = this.new_C(1:nc,:); + that.update_positions(); + end + end + end + end + end + end% protected + +end% classdef deform diff --git a/matlab/external/gptoolbox/mesh/deform_skeleton.m b/matlab/external/gptoolbox/mesh/deform_skeleton.m new file mode 100644 index 0000000..04b02c5 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/deform_skeleton.m @@ -0,0 +1,25 @@ +function [CT,BET] = deform_skeleton(C,BE,P,dQ) + % DEFORM_SKELETON Deform a skeleton (C,BE,P) by relative rotations dQ + % + % Inputs: + % C #C by dim list of joint positions + % BE #BE by 2 list of bone edges + % P #BE list of bone parents + % dQ #BE by 4 list of quaternion relative rotations + % Outputs: + % CT #BE*2 by dim list of deformed bone endpoints + % BET #BE by 2 list of edge indices into CT + % + + % number of bones + m = size(BE,1); + [Q,T] = forward_kinematics(C,BE,P,dQ); + % Compute a deformed version of the skeleton + CT = C(BE,:); + BET = [1:m;m+(1:m)]'; + for b = 1:m + for s = 0:1 + CT(b+s*m,:) = quatrotate(Q(b,:),CT(b+s*m,:))+T(b,:); + end + end +end diff --git a/matlab/external/gptoolbox/mesh/delaunayize.m b/matlab/external/gptoolbox/mesh/delaunayize.m new file mode 100644 index 0000000..8a7fd2e --- /dev/null +++ b/matlab/external/gptoolbox/mesh/delaunayize.m @@ -0,0 +1,90 @@ +function [V,F] = delaunayize(V,F,varargin) + % DELAUNAYIZE Make all edges Delaunay (if possible). + % + % [V,F] = delaunayize(V,F,varargin) + % + % Inputs: + % V #V by dim list of vertex positions + % F #F by 3 list of triangle indices into V + % Optional: + % 'Tol' followed by tolerance for `is_delaunay` + % 'Keep' followed by #E by 2 list of edges _not_ to flip + % 'SplitEdges' followed by whether to allow edge splitting. + % Outputs: + % V #V by dim list of vertex positions + % F #F by 3 list of triangle indices into V + % + % See also: is_delaunay, split_edges, flip_edges + % + + tol= 1e-7; + vis = false; + keep_E = zeros(0,2); + split_edges = false; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Tol','Visualize','Keep','SplitEdges'}, ... + {'tol','vis','keep_E','split_edges'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + while true + if vis + tsurf(F,V); + drawnow; + end + [D,allE]= is_delaunay(V,F,'Tol',eps,'BoundaryDefault',false); + [~,B] = on_boundary(F); + % Find edges to be kept + K = reshape(ismember(sort(allE,2),keep_E,'rows'),[],3); + % Kept edges and boundary edges are by definition "delaunay" + D = D | K; + D = D | B; + % list all delaunay edges + NDE = allE(~D,:); + % list all unique delaunay edges + NDuE = unique(sort(NDE,2),'rows'); + NDuKB = []; + if split_edges + DKB = D & (K | B); + NDKB = allE(~DKB,:); + NDuKB = unique(sort(NDKB,2),'rows'); + if vis + hold on; + plot_edges(V,NDuKB,'LineWidth',4); + hold off; + input(''); + end + [V,F] = split_edges(V,F,NDuKB); + end + if ~isempty(NDuE) + Vvis = []; + if vis + Vvis = V; + end + Fprev = F; + F = flip_edges(Fprev,NDuE,'AllowNonManifold',false,'V',Vvis); + degen = sum(F(:,1)==F(:,2) | F(:,2)==F(:,3) | F(:,3)==F(:,1)); + if degen>0 + warning('flip_edges.m created degenerate %d facets. Reverting...',degen); + Fprev = F; + end + if all(F(:) == Fprev(:)) + break; + end + elseif isempty(NDuKB) + break; + end + end +end diff --git a/matlab/external/gptoolbox/mesh/delta_mush.m b/matlab/external/gptoolbox/mesh/delta_mush.m new file mode 100644 index 0000000..3dd6e08 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/delta_mush.m @@ -0,0 +1,97 @@ +function [U,Dl,I] = delta_mush(V,F,U0,varargin) + % DELTA_MUSH Deform a mesh according to "Delta Mush: Smoothing Deformations + % While Preserving Detail" [Mancewicz et al. 2014]. + % + % U = delta_mush(V,F,U0) + % [U,Dl,I] = delta_mush(V,F,U0,'ParameterName',parameter_value,...) + % + % Inputs: + % V #V by 3 list of vertex positions + % F #F by 3 list of triangle indices + % U0 #V by 3 list of vertex positions of coarsely deformed mesh + % Optional: + % 'Delta' followed by #V by 3 list of local delta values from smoothed + % (V,F) mesh (only really makes sense if also passing 'Neighbors'. + % 'Neighbors' followed by precomputed I (see output below) + % 'Smooth' Followed by a function handle to a smoothing routine, e.g. + % @(U)conformalized_mean_curvature_flow(V,F,'MaxIter',10), but by + % %default: {@(U)laplacian_smooth(V,F,'cotan',[],0.1,'implicit',V,100)} + % default uses 10 iterations of inverse distance Laplacian smoothing + % as described in [Mancewicz et al. 2014]. + % Outputs: + % U #V by 3 list of final deformed vertex positions + % I #V list of indices of neighbor used to determine normal plane. + % + + function US = delta_mush_smooth(V,F,U,max_iter) + US = U; + implicit = false; + for iter = 1:max_iter + if iter ==1 || implicit + A = adjacency_edge_cost_matrix(V,F); + [AI,AJ,AV] = find(A); + A = sparse(AI,AJ,AV.^-1); + A = diag(sparse(sum(A,2).^-1))*A; + end + US = A*US; + if implicit + V = A*V; + end + end + end + + % default values + I = []; + Dl = []; + smooth_fun = []; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Neighbors','Smooth','Delta'}, ... + {'I','smooth_fun','Dl'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + if isempty(smooth_fun) + %lambda = 0.1; + %max_iter = 100; + %smooth_fun = ... + % @(U) laplacian_smooth(V,F,'cotan',[],lambda,'implicit',U,max_iter); + smooth_fun = @(U) delta_mush_smooth(V,F,U,10); + end + + in_frame = @(D,T,N,B) ... + [ ... + sum(D.*[T(:,1) N(:,1) B(:,1)],2) ... + sum(D.*[T(:,2) N(:,2) B(:,2)],2) ... + sum(D.*[T(:,3) N(:,3) B(:,3)],2) ... + ]; + + if isempty(Dl) + VS = smooth_fun(V); + [T,N,B,I] = per_vertex_frames(VS,F,'Neighbors',I); + % Get "inverse frame" + TNB = cat(3,T,N,B); + ITNB = permute(TNB,[1 3 2]); + IT = ITNB(:,:,1); + IN = ITNB(:,:,2); + IB = ITNB(:,:,3); + + Dg = (V-VS); + Dl = in_frame(Dg,IT,IN,IB); + end + + US = smooth_fun(U0); + [T,N,B] = per_vertex_frames(US,F,'Neighbors',I); + U = US+in_frame(Dl,T,N,B); + +end diff --git a/matlab/external/gptoolbox/mesh/df_build.m b/matlab/external/gptoolbox/mesh/df_build.m new file mode 100644 index 0000000..89f23d8 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/df_build.m @@ -0,0 +1,47 @@ +function [DF] = df_build(V,C) +% DF_BUILD Build a volumetric distance field and spatial index that can be used +% to speed up approximate NN queries in 3D This code is not optimized, it is +% very slow for big datasets +% +% [DF] = df_build(V,C) +% +% Inputs: +% V Coordinates of the points +% C Column vector that defines the number of cells for every +% dimension +% Output: +% DF structure to be passed to df_query to execute queries + +if ~exist('C','var') + C=[10;10;10]; +end + +MIN = min(V,[],1); +MAX = max(V,[],1); + +S = (MAX-MIN)./C'; +S(S==0) = 0.0000001; + +D = zeros(C'+1); +N = zeros(C'+1); + +for x=1:size(D,1) + progressbar(x,size(D,1)); + for y=1:size(D,2) + for z=1:size(D,3) + i = [x,y,z]; + p = MIN + (i-1).*S; + [D(x,y,z) N(x,y,z)] = min(normrow(repmat(p,size(V,1),1)-V)); + end + end +end + + +% Prepare DF struct +DF.MIN = MIN; +DF.MAX = MAX; +DF.D = D; +DF.N = N; +DF.C = C; +DF.S = S; +end diff --git a/matlab/external/gptoolbox/mesh/df_build_fast.m b/matlab/external/gptoolbox/mesh/df_build_fast.m new file mode 100644 index 0000000..1f3d996 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/df_build_fast.m @@ -0,0 +1,54 @@ +function [DF] = df_build_fast(V,C) +% DF_BUILD_FAST Build a volumetric distance field and spatial index that can be +% used to speed up approximate NN queries in 3D This code uses the kdtree +% toolbox +% +% [DF] = df_build_fast(V,C) +% +% Input: +% V Coordinates of the points +% C Column vector that defines the number of cells for every +% dimension +% Output: +% DF structure to be passed to df_query to execute queries + +if ~exist('C','var') + C=[10;10;10]; +end + +MIN = min(V,[],1); +MAX = max(V,[],1); + +S = (MAX-MIN)./C'; + +D = zeros(C'+1); +N = zeros(C'+1); + +%% Build kd-tree +tree = kdtree_build( V ); + + +%% Queries +for x=1:size(D,1) + progressbar(x,size(D,1)); + for y=1:size(D,2) + for z=1:size(D,3) + i = [x,y,z]; + p = MIN + (i-1).*S; + + N(x,y,z) = kdtree_nearest_neighbor(tree,p); + D(x,y,z) = normrow(p-V(N(x,y,z),:)); + end + end +end + +kdtree_delete(tree); + +% Prepare DF struct +DF.MIN = MIN; +DF.MAX = MAX; +DF.D = D; +DF.N = N; +DF.C = C; +DF.S = S; +end diff --git a/matlab/external/gptoolbox/mesh/df_query.m b/matlab/external/gptoolbox/mesh/df_query.m new file mode 100644 index 0000000..dd09c52 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/df_query.m @@ -0,0 +1,25 @@ +function [id,d] = df_query( DF, p) +% DF_QUERY Use the spatial index build with df_build to provide approximate NN +% and distance from the NN. +% +% [id,d] = df_query(DF,p) +% +% Input: +% DF output of df_build +% p query point +% Output: +% id index of the point closer to p (approximate) +% d distance from the point closer to p (approximate) + +p = p-DF.MIN; +p = p./DF.S; +p = round(p)+1; + +p(p<1) = 1; +p(p>DF.C') = DF.C(p>DF.C'); + +id = DF.N(p(1),p(2),p(3)); +d = DF.D(p(1),p(2),p(3)); + +end + diff --git a/matlab/external/gptoolbox/mesh/dihedral_angles.m b/matlab/external/gptoolbox/mesh/dihedral_angles.m new file mode 100644 index 0000000..26382e2 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/dihedral_angles.m @@ -0,0 +1,75 @@ +function [theta,cos_theta] = dihedral_angles(V,T,varargin) + % DIHEDRAL_ANGLES Compute dihedral angles for all tets of a given tet mesh + % (V,T) + % + % theta = dihedral_angles(V,T) + % theta = dihedral_angles(V,T,'ParameterName',parameter_value,...) + % + % Inputs: + % V #V by dim list of vertex positions + % T #V by 4 list of tet indices + % Optional: + % 'SideLengths' followed by #T by 6 list of tet edges lenghts: + % 41 42 43 23 31 12 + % 'FaceAreas' followed by #T by 4 list of tet face areas + % Outputs: + % theta #T by 6 list of dihedral angles (in radians) + % cos_theta #T by 6 list of cosine of dihedral angles (in radians) + % + + l = []; + s = []; + v = 1; + while v <= numel(varargin) + switch varargin{v} + case 'SideLengths' + assert((v+1)<=numel(varargin)); + v = v+1; + l = varargin{v}; + case 'FaceAreas' + assert((v+1)<=numel(varargin)); + v = v+1; + s = varargin{v}; + otherwise + error(['Unsupported parameter: ' varargin{v}]); + end + v = v+1; + end + if isempty(l) + % lengths of edges opposite *face* pairs: 23 31 12 41 42 43 + l = [ ... + sqrt(sum((V(T(:,4),:)-V(T(:,1),:)).^2,2)) ... + sqrt(sum((V(T(:,4),:)-V(T(:,2),:)).^2,2)) ... + sqrt(sum((V(T(:,4),:)-V(T(:,3),:)).^2,2)) ... + sqrt(sum((V(T(:,2),:)-V(T(:,3),:)).^2,2)) ... + sqrt(sum((V(T(:,3),:)-V(T(:,1),:)).^2,2)) ... + sqrt(sum((V(T(:,1),:)-V(T(:,2),:)).^2,2)) ... + ]; + end + % (unsigned) face Areas (opposite vertices: 1 2 3 4) + if isempty(s) + s = 0.5*[ ... + doublearea_intrinsic(l(:,[2 3 4])) ... + doublearea_intrinsic(l(:,[1 3 5])) ... + doublearea_intrinsic(l(:,[1 2 6])) ... + doublearea_intrinsic(l(:,[4 5 6]))]; + end + + % Law of cosines + % http://math.stackexchange.com/a/49340/35376 + H_sqr = (1/16) * ... + (4*l(:,[4 5 6 1 2 3]).^2.* l(:,[1 2 3 4 5 6]).^2 - ... + ((l(:, [2 3 4 5 6 1]).^2 + l(:,[5 6 1 2 3 4]).^2) - ... + (l(:, [3 4 5 6 1 2]).^2 + l(:,[6 1 2 3 4 5]).^2)).^2); + cos_theta= (H_sqr - s(:,[2 3 1 4 4 4]).^2 - ... + s(:,[3 1 2 1 2 3]).^2)./ ... + (-2*s(:,[2 3 1 4 4 4]).* ... + s(:,[3 1 2 1 2 3])); + % If this line ever becomes a bottleneck (unlikely) we should this function + % as a wrapper to cos_dihedral_angles(V,T) or better as a parameter 'CosOnly',true + theta = acos(cos_theta); + + % Q: Could also use atan2 formulation if you're after the dihedral angles (not + % the cosine of dihedral angles)? + % A: Yup, http://en.wikipedia.org/wiki/Dihedral_angle#Alternative_definitions +end diff --git a/matlab/external/gptoolbox/mesh/dijkstra_shepard.m b/matlab/external/gptoolbox/mesh/dijkstra_shepard.m new file mode 100644 index 0000000..61a8b3c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/dijkstra_shepard.m @@ -0,0 +1,75 @@ +function [W,dist_H_V] = dijkstra_shepard(V,F,C,p) + % DIJKSTRA_SHEPARD Compute shepard weights for a list of vertices, given a + % list of samples and optionally a denominator power value. But use "geodesic + % distance" as defined by dijkstra's shortest path distances + % + % W = dijkstra_shepard(V,C) + % + % Inputs: + % V list of vertex positions + % F #F by 3 list of face indices + % C list of control vertices + % p (optional) power for denominator, scalar or list same size as C {2} + % Outputs: + % W weights, # vertices by # handles matrix of weights + % + % See also: shepard + % + + % check if either are 3D but really all z's are 0 + V_flat = size(V,2) == 3 && (sqrt(sum(V(:,3).^2)) < 1e-10); + C_flat = size(C,2) == 3 && (sqrt(sum(C(:,3).^2)) < 1e-10); + % is both are essentially 2D then ignore z-coords + if((size(C,2) == 2 || C_flat) && (size(V,2) == 2 || V_flat)) + % ignore z coordinate + V = V(:,1:2); + C = C(:,1:2); + end + + % number of mesh vertices + n = size(V, 1); + + % number of control vertices + c = size(C,1); + + assert(size(C,2) == size(V,2)); + dim = size(C,2); + + % default p value + if(~exist('p','var')) + p = 2; + end + + % number of domain vertices + n = size(V,1); + + % compute distance from every vertex in the mesh to every control vertex + D = permute(sum((repmat(V,[1,1,c]) - ... + permute(repmat(C,[1,1,n]),[3,2,1])).^2,2),[1,3,2]); + % use distances to determine closest mesh vertex to each control vertex + % Cv(i) is closest vertex in V to ith control vertex in C + [minD,Cv] = min(D); + % if number of unique closest mesh vertices is less than total number, then + % we have contradictory boundary conditions + if(~all(size(unique(Cv)) == size(Cv))) + warning('Multiple control vertices snapped to the same domain vertex'); + end + + % build adjacency matrix with edge lengths as entries + C = adjacency_edge_cost_matrix(V,F); + D = cell2mat(arrayfun(@(s) graphshortestpath(C,s)',Cv,'UniformOutput',false)); + dist_H_V = bsxfun(@plus,minD,D); + + % power of each control point seen by each vertex in domain + W = 1.0./bsxfun(@power,dist_H_V,p); + + % Handle degenrate case that a control point is on a mesh vertex + % snap vertices close to corners + on_sample = dist_H_V < eps; + W(any(on_sample,2),:) = 0; + W(on_sample) = 1; + + % normalize W + W = bsxfun(@rdivide,W,sum(W,2)); + +end diff --git a/matlab/external/gptoolbox/mesh/discrete_gaussian_curvature.m b/matlab/external/gptoolbox/mesh/discrete_gaussian_curvature.m new file mode 100644 index 0000000..6fda5ab --- /dev/null +++ b/matlab/external/gptoolbox/mesh/discrete_gaussian_curvature.m @@ -0,0 +1,20 @@ +function k = discrete_gaussian_curvature(V,F) + % DISCRETE_GAUSSIAN_CURVATURE Compute discrete gaussian curvature according + % to (9) in "Discrete Differential-Geometry Operators for Triangulated + % 2-Manifolds" [Meyer et al. 02] but without the inverse area term. + % + % k = discrete_gaussian_curvature(V,F) + % + % Inputs: + % V #V by 3 list of vertex positions + % F #F by 3 list of face indies + % Outputs: + % k #V by 1 list of discrete gaussian curvature values + % + + %K_G(x_i) = (2Ï€ - ∑θj) + k = 2*pi - sparse(F,1,internalangles(V,F),size(V,1),1); + + + +end diff --git a/matlab/external/gptoolbox/mesh/div.m b/matlab/external/gptoolbox/mesh/div.m new file mode 100644 index 0000000..8a00aeb --- /dev/null +++ b/matlab/external/gptoolbox/mesh/div.m @@ -0,0 +1,60 @@ +function [D] = div(V,F) + % DIV Compute the numerical divergence at each vertex of a mesh of a vector + % field defined at each face of a mesh at every face of a triangle mesh. + % + % D = div(V,F) + % + % Inputs: + % V #vertices by 3 list of mesh vertex positions + % F #faces by 3 list of mesh face indices + % Outputs: + % D #vertices by #faces*3 divergence operator + % + + %% append with 0s for convenience + %if size(V,2) == 2 + % V = [V zeros(size(V,1),1)]; + % if size(X,2) == 2 + % X = [X zeros(size(X,1),1)]; + % end + %end + + %% number of domain vertices + %n = size(V,1); + + %assert(size(V,2) == size(X,2)); + %assert(size(X,1) == size(F,1)); + + %% renaming indices of vertices of triangles for convenience + %i1 = F(:,1); i2 = F(:,2); i3 = F(:,3); + %% #F x 3 matrices of triangle edge vectors, named after opposite vertices + %v23 = V(i3,:) - V(i2,:); v31 = V(i1,:) - V(i3,:); v12 = V(i2,:) - V(i1,:); + + %% The integrated divergence associated with vertex ð‘– can be written as + %% ∇ · ð‘‹ = 1 âˆ‘ï¸ cot ðœƒ1 (ð‘’1 · ð‘‹ð‘— ) + cot ðœƒ2 (ð‘’2 · ð‘‹ð‘— ) + + %C = cotangent(V,F); + %DX = sparse( ... + % [i1;i2;i3], ... + % 1, ... + % [ ... + % C(:,2) .* sum(-v31.*X,2) + C(:,3).*sum(v12.*X,2) ;... + % C(:,3) .* sum(-v12.*X,2) + C(:,1).*sum(v23.*X,2) ;... + % C(:,1) .* sum(-v23.*X,2) + C(:,2).*sum(v31.*X,2) ;... + % ], ... + % n,1); + + %DX = full(0.5*DX); + + % This seems to be identical to: + G = grad(V,F); + switch size(F,2) + case 3 + dblvol = doublearea(V,F); + case 4 + dblvol = 2*volume(V,F); + end + TA = repdiag(diag(sparse(dblvol)),size(V,2)); + D = -0.25*G'*TA; + %DX = D*X(:); +end diff --git a/matlab/external/gptoolbox/mesh/div3.m b/matlab/external/gptoolbox/mesh/div3.m new file mode 100644 index 0000000..5748204 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/div3.m @@ -0,0 +1,21 @@ +function [D] = div3(V,T) + % DIV3 Compute the discrete divergence operator + % + % D = div(V,T) + % + % Inputs: + % V #vertices by dim list of mesh vertex positions + % T #elements by 3 list of mesh tet indices + % Outputs: + % D #vertices by #elements*3 divergence operator + % + + warning('Deprecated. Call grad directly.'); + D = div(V,T); + + %G = grad3(V,T); + %vol = volume(V,T); + %% Off by a factor 2? + %D = -G'*repdiag(diag(sparse(vol)),3); +end + diff --git a/matlab/external/gptoolbox/mesh/divmatrix.m b/matlab/external/gptoolbox/mesh/divmatrix.m new file mode 100644 index 0000000..a46cee5 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/divmatrix.m @@ -0,0 +1,19 @@ +function D = divmatrix(V,F) +% D = gradmatrix(V,F) +% V: #V x 3 matrix of vertex coordinates +% F: 3 x #F matrix of indices of triangle corners +% returns #V x #V matrix of grad weights + warning('Obsolete, use `div` instead'); + + FT = F'; + E = ... + unique( ... + sort([FT(:,1) FT(:,2); FT(:,2) FT(:,3); FT(:,3) FT(:,1)]')', ... + 'rows'); + norms = sqrt(sum((V(E(:,1),:) - V(E(:,2),:)).^2,2)); + i = [E(:,1) E(:,2) E(:,1) E(:,2)]; + j = [E(:,2) E(:,1) E(:,1) E(:,2)]; + v = [norms norms -norms -norms] ; + % for repeated indices (i,j) sparse automatically sums up elements, as we want + D = sparse(i,j,v,size(V,1),size(V,1)); +end diff --git a/matlab/external/gptoolbox/mesh/doublearea.m b/matlab/external/gptoolbox/mesh/doublearea.m new file mode 100644 index 0000000..d0c10c2 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/doublearea.m @@ -0,0 +1,41 @@ +function dblA = doublearea(V,F) + % DOUBLEAREA Compute the double area of the triangles of a mesh + % + % dblA = doublearea(V,F) + % + % Inputs: + % V #V x dim matrix of vertex coordinates + % F #F x 3 matrix of indices of triangle corners + % Outputs: + % dblA #F list of twice the area of each corresponding face. For dim = 2 + % this is a signed quantity + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch), and Daniele Panozzo + % + + + % "Lecture Notes on Geometric Robustness" Shewchuck 09, Section 3.1 + % http://www.cs.berkeley.edu/~jrs/meshpapers/robnotes.pdf + switch size(V,2) + case 2 + r = V(F(:,1),:)-V(F(:,3),:); + s = V(F(:,2),:)-V(F(:,3),:); + dblA = r(:,1).*s(:,2) - r(:,2).*s(:,1); + case 3 + dblA = sqrt( ... + doublearea(V(:,[2 3]),F).^2 + ... + doublearea(V(:,[3 1]),F).^2 + ... + doublearea(V(:,[1 2]),F).^2); + otherwise + % For arbitrary dimension use Kahan's heron's formula + % triangles + % edge lengths numbered same as opposite vertices + l = [ ... + sqrt(sum((V(F(:,2),:)-V(F(:,3),:)).^2,2)) ... + sqrt(sum((V(F(:,3),:)-V(F(:,1),:)).^2,2)) ... + sqrt(sum((V(F(:,1),:)-V(F(:,2),:)).^2,2)) ... + ]; + dblA = doublearea_intrinsic(l); + end + +end diff --git a/matlab/external/gptoolbox/mesh/doublearea_intrinsic.m b/matlab/external/gptoolbox/mesh/doublearea_intrinsic.m new file mode 100644 index 0000000..22a812c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/doublearea_intrinsic.m @@ -0,0 +1,30 @@ +function dblA = doublearea_intrinsic(l) + % DOUBLEAREA_INTRINSIC Compute the double area of the triangles of a mesh + % + % dblA = doublearea_intrinsic(l) + % + % Inputs: + % l #F by 3, array of edge lengths of edges opposite each face in F + % Outputs: + % dblA #F list of twice the area of each corresponding face + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch), and Daniele Panozzo + % + + l = sort(l,2,'descend'); + l1 = l(:,1); l2 = l(:,2); l3 = l(:,3); + % Kahan's assertion: "Miscalculating Area and Angles of a Needle-like + % Triangle" Section 2. + % http://www.cs.berkeley.edu/~wkahan/Triangle.pdf + if any(l3-(l1-l2)<0) + warning( 'Failed Kahan''s assertion'); + end + %% semiperimeters + %s = (l1 + l2 + l3)*0.5; + %% Heron's formula for area + %dblA = 2*sqrt( s.*(s-l1).*(s-l2).*(s-l3)); + % Kahan's heron's formula + dblA = 2*0.25*sqrt((l1+(l2+l3)).*(l3-(l1-l2)).*(l3+(l1-l2)).*(l1+(l2-l3))); +end + + diff --git a/matlab/external/gptoolbox/mesh/draw_boxes.m b/matlab/external/gptoolbox/mesh/draw_boxes.m new file mode 100644 index 0000000..02a9db9 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/draw_boxes.m @@ -0,0 +1,34 @@ +function p = draw_boxes(BN,BX,varargin) + % DRAW_BOXES Draw a list of boxes given minimum corners and maximum corners + % + % p = draw_boxes(BN,BX) + % + % Inputs: + % BN #B by dim list of minimum corners + % BX #B by dim list of maximum corners + % Outputs: + % p plot handle + % + dim = size(BN,2); + m = size(BN,1); + switch dim + case 3 + V = []; + for x = 0:1 + for y = 0:1 + for z = 0:1 + V = [V;BN + bsxfun(@times,BX-BN,[x y z])]; + end + end + end + F = [3 4 2 1 + 1 2 6 5 + 8 6 2 4 + 4 8 7 3 + 5 7 3 1 + 5 7 8 6 + ]; + F = reshape(bsxfun(@plus,(F(:)-1)*m,1:m)',6*m,4); + t = trisurf(F,V(:,1),V(:,2),V(:,3),varargin{:}); + end +end diff --git a/matlab/external/gptoolbox/mesh/dualquatlbs.m b/matlab/external/gptoolbox/mesh/dualquatlbs.m new file mode 100644 index 0000000..f07f7d1 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/dualquatlbs.m @@ -0,0 +1,78 @@ +function [U] = dualquatlbs(V,DQ,W) + % DUALQUATLBS Compute dual quaternions linear blend skinning deformation of + % vertices V, using rigid transformations stored as dual quaternions, DQ, at + % some control points, propogated to the mesh using weights W. + % + % [U] = dualquatlbs(V,DQ,W) + % + % Inputs: + % V list of vertex positions + % DQ list of rigid transformations for each control point stored as dual + % quaternions + % 2 by 4 by #controls + % W weights, # vertices by # handles matrix of weights + % Output: + % U list of new vertex positions + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also: lbs + % + + % pad V with zeros if not 3D + if(size(V,2) ~= 3) + was_2d = true; + V = [V zeros(size(V,1),1)]; + else + was_2d = false; + end + + % number of control points + m = size(DQ,3); + % should be same in W + assert(m == size(W,2)); + + % number of domain vertices + n = size(V,1); + + % See algorithm 1 in "Geometric skinning with approximate dual quaternion + % blending" by Kavan et al + + % compute weighted combination of DQs for each domain vertex + % DQs seen by every vertex in domain, 2 by 4 by m by n + WDQ = permute(repmat(W',[1,1,2,4]),[3 4 1 2]) .* repmat(DQ,[1,1,1,n]); + % sum of weighted dual quaternions, 2 by 4 by n + VDQ = permute(sum(WDQ,3),[1 2 4 3]); + % regular part, n by 4 + VDQ1 = permute(VDQ(1,:,:),[3 2 1]); + % dual part, n by 4 + VDQ2 = permute(VDQ(2,:,:),[3 2 1]); + %VDQ2 = permute(sum(WDQ(2,:,:,:),3),[4 2 1 3]); + len = repmat(sqrt(sum(VDQ1.^2,2)),1,4); + VDQ1 = VDQ1./len; + VDQ2 = VDQ2./len; + + U = ... + V + ... + 2*cross( ... + VDQ1(:,2:4), ... + cross(VDQ1(:,2:4),V,2)+repmat(VDQ1(:,1),1,3).*V,2) + ... + 2*( ... + repmat(VDQ1(:,1),1,3).*VDQ2(:,2:4) - ... + repmat(VDQ2(:,1),1,3).*VDQ1(:,2:4) + ... + cross(VDQ1(:,2:4),VDQ2(:,2:4),2)); + + %VDQ = zeros([2 size(VDQ1)]); + %VDQ(1,:,:) = VDQ1; + %VDQ(2,:,:) = VDQ2; + %% convert DQs into transformations, multiply against vertices + %% convert rotation to quaternion and translation + %[Q,T] = udq2quattrans(VDQ); + %% convert quaterion + %R = quat2mat(Q); + + % unpad U if V was 2D + if(was_2d) + U = U(:,1:2); + end +end diff --git a/matlab/external/gptoolbox/mesh/eat_comments.m b/matlab/external/gptoolbox/mesh/eat_comments.m new file mode 100644 index 0000000..b6d5a32 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/eat_comments.m @@ -0,0 +1,24 @@ +function line = eat_comments(file_pointer,comment_symbol) + % EAT_COMMENTS use fscanf to eat lines starting with a comment_symbol + % + % line = eat_comments(file_pointer,comment_symbol) + % + % Inputs: + % file_pointer returned from fopen + % comment_symbol symbol of comment, e.g. '#' + % Output: + % line next line that does not start with a comment_symbol + % (file_pointer is correspondingly adjusted) + % + assert(size(comment_symbol,2) == 1); + + while(true) + % read next whole line + line = fscanf(file_pointer,' %[^\n]s'); + if(size(line,2) == 0) + break; + elseif(line(1,1) ~= comment_symbol) + break; + end + end +end diff --git a/matlab/external/gptoolbox/mesh/edge_lengths.m b/matlab/external/gptoolbox/mesh/edge_lengths.m new file mode 100644 index 0000000..a3d6a4f --- /dev/null +++ b/matlab/external/gptoolbox/mesh/edge_lengths.m @@ -0,0 +1,39 @@ +function l = edge_lengths(V,F) + % EDGE_LENGTHS Compute the edge lengths for a simplex mesh + % + % l = edge_lengths(V,F) + % + % Inputs: + % V #V by dim list of triangle indices + % F #F by simplex list of simplices + % Outputs: + % l #F by 1 list of edge lengths + % or + % l #F by 3 list of edge lengths corresponding to 23,31,12 + % or + % l #F by 6 list of edge lengths corresponding to edges opposite *face* + % pairs: 23 31 12 41 42 43 + % + switch size(F,2) + case 2 + l = normrow(V(F(:,2),:) - V(F(:,1),:)); + case 3 + i1 = F(:,1); i2 = F(:,2); i3 = F(:,3); + s12 = normrow(V(i2,:) - V(i1,:)); + s13 = normrow(V(i3,:) - V(i1,:)); + s23 = normrow(V(i3,:) - V(i2,:)); + l = [s23 s13 s12]; + case 4 + % lengths of edges opposite *face* pairs: 23 31 12 41 42 43 + l = [ ... + sqrt(sum((V(T(:,4),:)-V(T(:,1),:)).^2,2)) ... + sqrt(sum((V(T(:,4),:)-V(T(:,2),:)).^2,2)) ... + sqrt(sum((V(T(:,4),:)-V(T(:,3),:)).^2,2)) ... + sqrt(sum((V(T(:,2),:)-V(T(:,3),:)).^2,2)) ... + sqrt(sum((V(T(:,3),:)-V(T(:,1),:)).^2,2)) ... + sqrt(sum((V(T(:,1),:)-V(T(:,2),:)).^2,2)) ... + ]; + otherwise + error('Unsupported simplex size'); + end +end diff --git a/matlab/external/gptoolbox/mesh/edges.m b/matlab/external/gptoolbox/mesh/edges.m new file mode 100644 index 0000000..5156ee9 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/edges.m @@ -0,0 +1,64 @@ +function E = edges(F) + % EDGES Compute the unique undireced edges of a simplicial complex + % + % E = edges(F) + % + % Input: + % F #F x simplex-size matrix of indices of simplex corners + % Output: + % E edges in sorted order, direction of each is also sorted + % + % Example: + % % get unique undirected edges + % E = edges(F); + % % get unique directed edges + % E = [E ; E(:,2) E(:, 1)]; + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + + % all combinations of edges + n = size(F,2); + + e = nchoosek(1:n,2); + A = sparse(F(:,e(:,1)),F(:,e(:,2)),1,max(F(:)),max(F(:))); + [EI,EJ] = find(tril(A+A')); + E = [EJ EI]; + + %I = []; + %J = []; + %for ii = 1:(n-1) + % I = [I repmat(ii,1,n-ii)]; + % J = [J (ii+1):n]; + %end + %assert(all(size(I) == size(J))); + + %% + %EI = F(:,I); + %EI = EI(:); + %EJ = F(:,J); + %EJ = EJ(:); + + %E = unique(sort([EI EJ]')','rows'); + + %if(size(F,2) == 3) + % E = unique(sort( ... + % [F(:,1) F(:,2); ... + % F(:,1) F(:,3); ... + % F(:,2) F(:,3) ... + % ]')','rows'); + %elseif(size(F,2) == 4) + % E = unique(sort( ... + % [F(:,1) F(:,2); ... + % F(:,1) F(:,3); ... + % F(:,1) F(:,4); ... + % F(:,2) F(:,3); ... + % F(:,2) F(:,4); ... + % F(:,3) F(:,4) ... + % ]')','rows'); + %else + % error('F should either be #F by 3 tri list or #F by 4 tet list'); + %end + +end + diff --git a/matlab/external/gptoolbox/mesh/encage.m b/matlab/external/gptoolbox/mesh/encage.m new file mode 100644 index 0000000..5ba3174 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/encage.m @@ -0,0 +1,125 @@ +function [DV,DT,DF,b,bc] = encage(V,CV,CF,varargin) + % ENCAGE Create a mesh and compute boundary conditions for computing weights + % on for points V embedded in a polyhedron cage (CV,CF). + % + % [DV,DT,DF,b,bc] = encage(V,CV,CF) + % [DV,DT,DF,b,bc] = encage(V,CV,CF,'ParameterName',ParameterValue,...) + % + % Inputs: + % V #V by dim list of vertex positions + % CV #CV by dim list of cage vertex positions + % CF #CF by dim list of cage face indices into CV + % Optional: + % 'TetgenFlags' followed by a string of tetgen flags {'-q100'} + % 'Quiet' followed by whether to tell tetgen to be quiet {false} + % Outputs: + % DV #DV by dim list of tet mesh vertex positions + % DT #DT by dim+1 list of tet mesh tet indices into DV + % DF #DF by dim list of tet mesh boundary facet indices into DV + % b #b list of indices of boundary vertices in V + % bc #b by #CV list of boundary conditions + % + + tetgen_flags = '-q100'; + quiet = true; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'TetgenFlags','Quiet'}, ... + {'tetgen_flags','quiet'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + if quiet + fid = fopen('/dev/null','w'); + else + fid = 1; + end + + prefix = tempname; + poly_filename = [prefix '.poly']; + writePOLY_tetgen(poly_filename,[CV;V],CF,[],'BoundaryMarkers',(1:size(CF,1))'); + + delaunay_flags = '-p'; + command = ... + [path_to_tetgen ' ' delaunay_flags ' ' tetgen_flags ' ' poly_filename]; + fprintf(fid,'%s\n',command); + if quiet + [status, result] = system(command); + else + [status, result] = system(command,'-echo'); + end + fprintf(fid,'%s',result); + if status ~= 0 + fprintf(fid,'%s',result); + else + if strfind(result,'Jettisoning redundant points.') + fprintf(fid,'%s',result); + warning('Tetgen removed duplicate points'); + end + end + switch(status) + case 0 + case 3 + error('Self intersections. Try selfintersect() or remove self-intersections'); + case 4 + % Small feature + error('Try again with reduced T?'); + case 5 + % close input facets + error('Try again with -Y'); + case 6 + % close input facets + error('Input error. Check yo` input'); + case 134 + error('Non-planar facets?'); + otherwise + error('Tetgen returned status %d != 0',status); + end + delete(poly_filename); + + ele_filename = [prefix '.1.ele']; + face_filename = [prefix '.1.face']; + node_filename = [prefix '.1.node']; + + DV = readNODE(node_filename); + DT = readELE(ele_filename); + [DF,BF] = readFACE(face_filename); + + delete(ele_filename); + delete(node_filename); + delete(face_filename); + + assert(size(DF,1) == size(BF,1)); + % B2CF(i,:) = [v f] --> vertex v in DV is on face f in CF + B2CF = [DF(:) repmat(BF,size(DF,2),1)]; + % Just keep one matching for each vertex + [~,UI] = unique(B2CF(:,1)); + B2CF = B2CF(UI,:); + % boundary conditions + b = B2CF(:,1); + if size(CF,2) == 3 + % Corners of face for each vertex + K = CF(B2CF(:,2),:); + B = barycentric_coordinates( ... + DV(B2CF(:,1),:), CV(K(:,1),:), CV(K(:,2),:), CV(K(:,3),:)); + bc = sparse(repmat(1:numel(b),1,3)',K(:),B(:),numel(b),size(CV,1)); + else + if nargout>4 + error('bc not supported for non-triangle mesh cages'); + end + end + % Faces are flipped + DF = fliplr(DF); + +end diff --git a/matlab/external/gptoolbox/mesh/engraving.m b/matlab/external/gptoolbox/mesh/engraving.m new file mode 100644 index 0000000..3f33a07 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/engraving.m @@ -0,0 +1,33 @@ +function [V,F] = engraving(im,w,t,s,l) + % ENGRAVING Create an engraving of an image + % + % [V,F] = engraving(im,w,t,s) + % + % Inputs: + % im width by height grayscale image + % w desired width of engraving model (in mm) + % t desired thickness of engraving model (in mm) + % s desired span of thickness devoted to levels (in mm) + % l number of levels + % Outputs: + % V #V by 3 list of vertex positions + % F #F by 3 list of triangle indices + % + % Example: + % % load image + % im = imresize(rgb2gray(im2double(imread('hans-hass.jpg'))),0.5); + % % pad image by 10% of width + % im = padarray(im,ceil(0.1*repmat(size(im,2),1,2))); + % % engrave: 50mm wide, 5mm thick, 1mm devoted to 4 layers + % [V,F] = engraving(im,50,5,1,4); + % + + assert(isfloat(im)); + [V,F] = create_regular_grid(size(im,2),size(im,1),0,0); + V(:,1) = V(:,1)*w; + V(:,2) = (1-V(:,2))*size(im,1)/size(im,2)*w; + [V,F] = extrude(V,F); + V(:,3) = V(:,3)*t; + V(1:numel(im),3) = V(1:numel(im),3)-s*round(im(:)*(l-1))/(l-1); + +end diff --git a/matlab/external/gptoolbox/mesh/et.m b/matlab/external/gptoolbox/mesh/et.m new file mode 100644 index 0000000..a1da5a8 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/et.m @@ -0,0 +1,35 @@ +function ET = et(V,F,E) +% ET Compute the relation edge to triangle of a manifold mesh. +% +% ET = et(V,F,E) +% +% Input: +% V #V x 3 matrix of vertex coordinates +% F #F x 3 matrix of indices of vertices at triangle corners +% E #E x 2 matrix of indices of vertices at edge endpoints +% Output: +% ET #E x 2 map between an edge to its two indicent faces +% (-1 in column 2 if the edge is on the border) +% +% Example: +% E = edges(V,F); +% ET = et(V,F,E); + +VT = vt(V,F); + +ET = zeros(size(E,1),2); + +for i=1:size(E,1) + CFi1 = find(VT(:,E(i,1)))'; + CFi2 = find(VT(:,E(i,2)))'; + + temp = intersect(CFi1,CFi2); + if size(temp,2) == 1 + temp = [temp -1]; + end + + ET(i,:) = temp; +end + +end + diff --git a/matlab/external/gptoolbox/mesh/expand_axis.m b/matlab/external/gptoolbox/mesh/expand_axis.m new file mode 100644 index 0000000..e2164fe --- /dev/null +++ b/matlab/external/gptoolbox/mesh/expand_axis.m @@ -0,0 +1,17 @@ +function expand_axis(f,ah) + % EXPAND_AXIS Expand axis by a scale factor f + % + % expand_axis(f); + % expand_axis(f,ah) + % + % Inputs: + % f factor to scale axis by + % Optional: + % ah handle to axis + % + if nargin<2 + ah =gca; + end + a = reshape(axis(ah),2,[]); + axis(ah,reshape(bsxfun(@plus,bsxfun(@minus,a,mean(a))*f,mean(a)),1,[])); +end diff --git a/matlab/external/gptoolbox/mesh/explode_tetramesh.m b/matlab/external/gptoolbox/mesh/explode_tetramesh.m new file mode 100644 index 0000000..4bef04c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/explode_tetramesh.m @@ -0,0 +1,61 @@ +function h = explode_tetramesh(T,V,steps) + % EXPLODE_TETRAMESH animated, interactive tetramesh plot of tets of a tet + % mesh being pulled away from each + % + % h = explode_tetramesh(T,V) + % + % Inputs: + % T #T by 4 list of tetrahedra indices + % V #V by dim by #{frames | 1} list of vertex positions + % steps # of explosion animation steps {100} + % Outputs: + % h handle to plot + % + % See also: tsurf, trisurf, tetramesh, animated_trisurf, animated_tetramesh + % + + % Remap vertices and tets so that all corners are separated + V = [ ... + V(T(:,1),:); ... + V(T(:,2),:); ... + V(T(:,3),:); ... + V(T(:,4),:); ... + ]; + T = [ ... + 0*size(T,1) + (1:size(T,1)); ... + 1*size(T,1) + (1:size(T,1)); ... + 2*size(T,1) + (1:size(T,1)); ... + 3*size(T,1) + (1:size(T,1)); ... + ]'; + factor = 4; + if ~exist('steps','var') + steps = 100; + end + s = linspace(1,factor,steps); + % centroid + c = mean(V); + VV = zeros(size(V,1),size(V,2),steps); + for ii = 1:steps + sii = s(ii); + % dialate globally + Vii = bsxfun(@plus,sii*V,-sii*c+c); + % contract locally + % centroids of each tet + Cii = ( ... + Vii(T(:,1),:) + ... + Vii(T(:,2),:) + ... + Vii(T(:,3),:) + ... + Vii(T(:,4),:))/4; + Vii = Vii/sii+repmat(Cii,4,1)*(1-1/sii); + VV(:,:,ii) = Vii; + end + h = animated_tetramesh(T,VV); + axis equal; + A = reshape(axis,2,[]); + % grow by factor about center + dA = [A(1,:)-A(2,:);A(2,:)-A(1,:)]; + axis(reshape(A+dA,1,prod(size(A)))); + % don't resize mesh + axis manual; + +end diff --git a/matlab/external/gptoolbox/mesh/exterior_edges.m b/matlab/external/gptoolbox/mesh/exterior_edges.m new file mode 100644 index 0000000..3efe299 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/exterior_edges.m @@ -0,0 +1,43 @@ +function [E,C,aC] = exterior_edges(F) + % EXTERIOR_EDGES List of exterior (boundary of manifold patch) edges. Note: + % this is---in general---not the same as the _open boundary_ of the mesh. + % + % Inputs: + % F #F by dim=3 list of facet indices + % Outputs: + % E #E by 2 list of exterior edges + % C #E by 1 list of signed Counts + % aC #E by 1 list of unsigned Counts + % + % See also: outline + % + + switch size(F,2) + case 2 + E = F; + % TODO: This is not robust to non-manifold issues + % edge going out + out = sparse(E(:,1),1,1,max(E(:)),1); + % edge coming in + in = sparse(E(:,2),1,1,max(E(:)),1); + % endpoints + ep = (in + out) == 1; + epi = find(ep); + E = [repmat(epi(1),numel(epi)-1,1) epi(2:end)]; + E = ... + bsxfun(@times,out(E(:,2)) ,E) + ... + bsxfun(@times,(~out(E(:,2))),fliplr(E)); + case 3 + allE = [F(:,[2 3]); F(:,[3 1]); F(:,[1 2])]; + sortallE = sort(allE,2); + % -1 in this direction +1 in that direction --> stored in this direction + C = sparse(sortallE(:,1),sortallE(:,2),(allE(:,1) stored in this direction + aC = sparse(sortallE(:,1),sortallE(:,2),1); + assert(nnz(tril(C)) == 0); + [~,~,aC] = find((C~=0).*aC); + [EI,EJ,C] = find(C); + E = [EI EJ]; + end + +end diff --git a/matlab/external/gptoolbox/mesh/extrude.m b/matlab/external/gptoolbox/mesh/extrude.m new file mode 100644 index 0000000..4f11898 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/extrude.m @@ -0,0 +1,101 @@ +function [VV,FF] = extrude(V,F,varargin) + % EXTRUDE Extrude a 2d mesh in the z direction by 1, connecting boundaries + % apropriately + % + % [VV,FF] = extrude(V,F) + % [VV,FF] = extrude(V,F,'ParmeterName',ParameterValue,...) + % + % Inputs: + % V #V by 2 list of 2d vertex positions + % F #F by 3 list of triangle indices into V + % Optional: + % 'Cap' followed by {true} of false whether to put a *bottom cap* + % Outputs: + % VV #VV by 3 list of 3d vertex positions + % FF #FF by 3 list of triangle indices into VV + % + + cap = true; + levels = 1; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Cap','Levels'}, ... + {'cap','levels'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + assert(size(V,2) == 2, 'Vertices should be 2d'); + %% Copy top and bottom + % VV = [V 1+0*V(:,1);V 0*V(:,1)]; + switch size(F,2) + case {3,4} + % connect boundaries + O = outline(F); + case 2 + assert(~cap,'Cap should be false when input is curve'); + % Curve as input + FF = []; + O = F; + end + assert(size(unique(sort(O,2),'rows'),1) == size(O,1)); + + % Rearrange vertices on bottom + [VB,FB,OB,IM] = faces_first(V,F,O); + n = size(V,1); + + no = numel(unique(OB)); + + VL = [ ... + repmat(VB(1:max(OB(:)),:),[levels 1]) ... + reshape(repmat(linspace(1-1/levels,0,levels),[no,1]),[no*levels 1])]; + if cap + VV = [VB ones(n,1);VL(1:no*(levels-1),:);VB zeros(n,1)]; + else + VV = [VB ones(n,1);VL]; + end + FO = ones(2*size(OB,1)*levels,size(F,2)); + for level = 1:levels + if level == 1 + off_t = 0; + else + off_t = n+(level-2)*no; + end + off_b = n+(level-1)*no; + switch size(F,2) + case 4 + FO((level-1)*size(OB,1)+(1:size(OB,1)),:) = [ ... + off_t+OB(:,[2 1]) off_b+OB(:,1:2)]; + case 3 + FO((level-1)*2*size(OB,1)+(1:size(OB,1)*2),:) = [ ... + off_b+OB(:,1) off_t+OB(:,[2 1]); ... + off_t+OB(:,2) off_b+OB(:,1:2)]; + end + end + + % remap so that faces on planes are consistent with input + if cap + FF = [FB;FO;n+(levels-1)*no+fliplr(FB)]; + RIM = 1:(n+(levels-1)*no+n); + RIM(IM) = 1:n; + RIM(n+IM) = n+(1:n); + else + FF = [FB;FO]; + RIM = 1:(n+levels*no); + RIM(IM) = 1:n; + end + VV(RIM,:) = VV; + FF = RIM(FF); + + +end diff --git a/matlab/external/gptoolbox/mesh/faces_first.m b/matlab/external/gptoolbox/mesh/faces_first.m new file mode 100644 index 0000000..e185dc5 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/faces_first.m @@ -0,0 +1,31 @@ +function [RV,RT,RF,IM] = faces_first(V,T,F) + % FACES_FIRST Reorder vertices so that vertices in face list come before + % vertices that don't appear in the face list. This is especially useful if + % the face list contains only surface faces and you want surface vertices + % listed before internal vertices + % + % [RV,RT,RF,IM] = faces_first(V,T,F); + % + % + % Input: + % V #vertices by 3 vertex positions + % T #tetrahedra by 4 list of tetrahedra indices + % F #faces by 3 list of face indices + % Output: + % RV #vertices by 3 vertex positions, order such that if the jth vertex is + % some face in F, and the kth vertex is not then j comes before k + % RT #tetrahedra by 4 list of tetrahedra indices, reindexed to use RV + % RF #faces by 3 list of face indices, reindexed to use RV + % IM #vertices by 1 list of indices such that: RF = IM(F) and RT = IM(T) + % and RV(IM,:) = V + % + + [~,IM] = remove_unreferenced(V,F(:)); + + % reorder vertices + RV(IM,:) = V; + % reindex faces: reshape is necessary for #F = 1 + RF = reshape(IM(F),size(F)); + % reindex tetrahedra + RT = reshape(IM(T),size(T)); +end diff --git a/matlab/external/gptoolbox/mesh/faces_in_polygon.m b/matlab/external/gptoolbox/mesh/faces_in_polygon.m new file mode 100644 index 0000000..ae7cad8 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/faces_in_polygon.m @@ -0,0 +1,61 @@ +function [xin,iin,cin] = faces_in_polygon(V,F,X,Y,Vin) + % FACES_IN_POLYGON test whether faces of mesh are inside a given polygon + % + % [xin,iin,cin] = faces_in_polygon(V,F,X,Y) + % [xin,iin,cin] = faces_in_polygon(V,F,X,Y) + % [xin,iin,cin] = faces_in_polygon(V,F,X,Y,Vin) + % + % Inputs: + % V #V by dim list of vertex positions + % F #F by 3 list of face indices + % X #P by 1 list of polygon x-coordinates + % Y #P by 1 list of polygon y-coordinates + % Optional + % Vin #V list of flags overriding whether each position in V is defined + % as inside polygon formed by (X,Y), default is to use inpolygon + % Outputs: + % xin #F list of flags revealing whether query face indices are all in (X,Y) + % iin #F list of flags revealing whether query faces have at least one + % index in (X,Y) + % cin #F list of flags revealing whether query face barycenters are in (X,Y) + % + % See in_mesh, inpolygon + % + + % NaNs are not recognized as they are in inpolygon + assert(~any(isnan(X))); + assert(~any(isnan(Y))); + + dim = size(V,2); + % only works in 2D + assert(dim == 2); + + if ~exist('exclusive','var') + exclusive = true; + end + + if ~exist('Vin','var') + % first determine mesh points strictly in or on polygon + Vin = inpolygon(V(:,1),V(:,2),X,Y); + end + + % find faces that are inside because all vertices are inside + [~,xin] = limit_faces(F,Vin,true); + [~,iin] = limit_faces(F,Vin,false); + + % Note: if you can assume that if a triangle's corners are all inside (X,Y) + % then also it's centroid is inside, then you could speed this up by only + % testing triangles not in xin + + % barycenters for all triangles + B = barycenter(V,F); + + % only do this if asked to + if nargout >= 3 + % determine if each triangle barycenter is in polygon (X,Y) + cin = inpolygon(B(:,1),B(:,2),X,Y); + end + + + +end diff --git a/matlab/external/gptoolbox/mesh/facet_adjacency_matrix.m b/matlab/external/gptoolbox/mesh/facet_adjacency_matrix.m new file mode 100644 index 0000000..b10cc7f --- /dev/null +++ b/matlab/external/gptoolbox/mesh/facet_adjacency_matrix.m @@ -0,0 +1,62 @@ +function [A,uE2F,uE] = facet_adjacency_matrix(F,varargin) + % FACET_ADJACENCY_MATRIX Adjacency matrix between facets determined by + % whether two facets share an edge. + % + % A = facet_adjacency_matrix(F) + % A = facet_adjacency_matrix(F,'ParameterName',ParameterValue, ...) + % + % Inputs: + % F #F by 3 list of triangles + % Optional: + % 'ManifoldOnly' followed by whether to only consider adjacency across + % manifold edges (valence <=2) + % Outputs: + % A #F by #F adjacency matrix + % + % See also: adjacency_matrix + + manifold_only = false; + % default values + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'ManifoldOnly'},{'manifold_only'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + ss = size(F,2); + switch ss + case 3 + % List of all "half"-edges: 3*#F by 2 + allE = [F(:,[2 3]); F(:,[3 1]); F(:,[1 2])]; + % Sort each row + sortallE = sort(allE,2); + % IC(i) tells us where to find sortallE(i,:) in uE: + % so that sortallE(i,:) = uE(IC(i),:) + [uE,~,IC] = unique(sortallE,'rows'); + % uE2F(e,f) = 1 means face f is adjacent to unique edge e + uE2F = sparse(IC(:),repmat(1:size(F,1),1,ss)',1); + case 2 + % We're really dealing with edges, so E-->vertices, F-->edges + uE2F = sparse(F,repmat(1:size(F,1),2,1)',1); + end + + % kill non-manifold edges + if manifold_only + uE2F(sum(uE2F,2)>2,:) = 0; + end + % Face-face Adjacency matrix + A = uE2F'*uE2F; + % All ones + A = A>0; +end diff --git a/matlab/external/gptoolbox/mesh/facet_laplacian.m b/matlab/external/gptoolbox/mesh/facet_laplacian.m new file mode 100644 index 0000000..2ac7207 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/facet_laplacian.m @@ -0,0 +1,101 @@ +function [L,E] = facet_laplacian(V,F) + % FACET_LAPLACIAN Builds an "edge-based" Laplacian L, which is an #E by #V + % rectangular matrix which maps scalar functions living at vertices to + % Laplacian values living at edges. For tets, edges are now facets. + % + % [L,E] = facet_laplacian(V,F) + % + % Inputs: + % V #V by dim list of vertex positions + % F #F by element-size list of triangle indices + % Outputs: + % L #E by #V edge-based Laplacian + % E #E by 2 list of edges + % + % Examples: + % % load some non-convex shape (V,F) + % [L,E] = facet_laplacian(V,F); + % % find boundary edges + % B = is_boundary_edge(E,F); + % % Construct mass matrix + % [M,mE] = crouzeix_raviart_massmatrix(V,F); + % % Be sure same edges are being used. + % assert(all(E(:)==mE(:))); + % % "Kill" boundary edges + % L(B,:) = 0; + % % Linear functions are now in the spectrum + % [~,~,U] = svd(full(L)); + % tsurf(F,[V(:,1:2) U(:,end-1)]) + % + % % mesh in (V,F) + % [Le] = facet_laplacian(V,F); + % [Lcr,E,EMAP] = crouzeix_raviart_cotmatrix(V,F); + % V2E = sparse(E(:),repmat(1:size(E,1),1,size(E,2))',1,size(V,1),size(E,1))'; + % V2E = bsxfun(@rdivide,V2E,sum(V2E,2)); + % LcrV2E = Lcr*V2E; + % max(max(abs(LcrV2E--2*Le))) + % + % + % See also: crouzeix_raviart_massmatrix, is_boundary_edge + % + + %% check for non-manifold edges + %S = statistics(V,F,'Fast',true); + %if S.num_nonmanifold_edges > 0 + % error(sprintf('There are %d non-manifold edges',S.num_nonmanifold_edges)); + %end + + switch size(F,2) + case 3 + % number of vertices + n = size(V,1); + % number of faces + m = size(F,1); + % Compute cotangents + C = cotangent(V,F); + % Map each face-edge to a unique edge + F2E = reshape(1:3*m,m,3); + % Assemble entries + % R S S R S S R S S + LI = [ F2E(:,[1 1 1 2 2 2 3 3 3]) ]; + LJ = [ F(:,[1 2 3 2 3 1 3 1 2]) ]; + LV = [ ... + C(:,2)+C(:,3), -C(:,3), -C(:,2) ... + C(:,3)+C(:,1), -C(:,1), -C(:,3) ... + C(:,1)+C(:,2), -C(:,2), -C(:,1)]; + + %warning('only spokes'); + %LI = LI(:,[2 3 5 6 8 9]); + %LJ = LJ(:,[2 3 5 6 8 9]); + %LV = LV(:,[2 3 5 6 8 9]); + %warning('only rims'); + %LI = LI(:,[1 4 7]); + %LJ = LJ(:,[1 4 7]); + %LV = LV(:,[1 4 7]); + + assert(all(size(LI)==size(LJ))); + assert(all(size(LI)==size(LV))); + % Throw contribution at each edge + L = sparse(LI,LJ,LV,3*m,n); + + allE = [F(:,[2 3]);F(:,[3 1]);F(:,[1 2])]; + % Map duplicate edges to first instance + [E,~,EMAP] = unique(sort(allE,2),'rows'); + + L = sparse(EMAP,F2E(:),1,size(E,1),3*m) * L; + + % Q: What's going on for boundary edges? + % A: Interior edges are integrating around butterly. Boundary edges are only + % integrating around half what would be their butterfly. They "should" also + % integrate along themselves to enclose an area. Since they don't they + % amount to computing minus the normal derivative. + case 4 + [Lcr,E] = crouzeix_raviart_cotmatrix(V,F); + A = sparse(E(:),repmat(1:size(E,1),1,3)',1,size(V,1),size(E,1))'; + Df = diag(sparse(sum(A,2))); + % Legacy factor of 2 to match triangle version + L = 0.5*3*Lcr*(Df\A); + % Lv == 0.5*A'*Lf; + end + +end diff --git a/matlab/external/gptoolbox/mesh/farthest_points.m b/matlab/external/gptoolbox/mesh/farthest_points.m new file mode 100644 index 0000000..5c3c302 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/farthest_points.m @@ -0,0 +1,135 @@ +function [P,PI] = farthest_points(V,k,varargin) + % FARTHEST_POINTS Use an iterative heuristic to sample a discrete set of + % points so that minimum pairwise distances for each point are maximized: + % + % maximize ???_i min_j(???pi-pj???) + % + % [P,PI] = farthest_points(V,k) + % [P,PI] = farthest_points(V,k,'ParameterName',ParameterValue, ...) + % + % Inputs: + % V #V by dim list of points in euclidean space + % k number of points to output + % Optional: + % 'F' followed by #F by 3 list of facet indices into V + % 'Distance' followed by one of: + % {'euclidean'} Euclidean distance + % 'biharmonic' biharmonic distance embedding + % 'geodesic' fast marching geodesic distance (slow) + % Outputs: + % P k by dim list of farthest points sampled from V + % PI k list of indices so that P = V(PI,:) + % + % See also: random_points_on_mesh + % + + vis = false; + distance = 'euclidean'; + F = []; + % default values + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Distance','F','Visualize'},{'distance','F','vis'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + PI = ceil(rand(k,1)*size(V,1)); + + if vis + scatter3(V(:,1),V(:,2),V(:,3),'.b'); + hold on; + P = V(PI,:); + s = scatter3(P(:,1),P(:,2),P(:,3),'or','SizeData',100,'LineWidth',5); + hold off; + view(2); + axis equal; + drawnow; + end + + % embedding of V + switch distance + case 'euclidean' + EV = V; + case {'biharmonic','geodesic'} + assert(~isempty(F)); + switch distance + case 'biharmonic' + EV = biharmonic_embedding(V,F,10); + case 'geodesic' + EV = V; + end + end + + [I,D] = knnsearch(EV(PI,:),EV,'K',1); + max_iter = 100; + iter = 1; + while true + change = false; + %progressbar(iter-1,max_iter-1,30); + for pi = 1:numel(PI) + old_PI_pi = PI(pi); + % other points + others = PI([1:pi-1 pi+1:end]); + % There should be a way to only compute new distances in places that + % need to be updated... + switch distance + case {'euclidean','biharmonic'} + O = EV(others,:); + if isempty(I) + Ipi = true(size(V,1),1); + J = [1:pi-1 pi+1:k]; + else + Ipi = I==pi; + J = setdiff(1:numel(PI),pi); + end + %[D,I] = pdist2(O,EV,'euclidean','Smallest',1); + % Much faster for large O/EV + %[I,D] = knnsearch(O,EV,'K',1); + [IIpi,D(Ipi)] = knnsearch(EV(PI(J),:),EV(Ipi,:),'K',1); + I(Ipi) = J(IIpi); + fIpi = find(Ipi); + [~,d] = max(D(fIpi)); + PI(pi) = fIpi(d); + Dpi = sqrt(sum(bsxfun(@minus,EV(PI(pi),:),EV).^2,2)); + Cpi = Dpimax_iter + warning('Reached max iterations (%d) without convergence',max_iter); + break + end + if ~change + break; + end + end + + P = V(PI,:); + +end diff --git a/matlab/external/gptoolbox/mesh/fast_mass_springs.m b/matlab/external/gptoolbox/mesh/fast_mass_springs.m new file mode 100644 index 0000000..806cce4 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/fast_mass_springs.m @@ -0,0 +1,88 @@ +function [U,data] = fast_mass_springs(V,E,b,bc,varargin) + % FAST_MASS_SPRINGS Solve for the mass springs deformation subject to hard + % constraints, following "Fast Simulation of Mass-Spring Systems" [Liu et al. + % 2013]. + % + % U = fast_mass_springs(V,E,b,bc) + % + % Inputs: + % V #V by dim list curve vertex positions + % E #E by 2 list of *edge* indices or other simplices and edges will be + % derived. + % b #b list of indices into V of fixed vertices + % bc #b by dim list of positions for fixed vertices + % Optional: + % 'EdgeLengths' followed by #E list of rest edge lengths + % 'Data' computed min_quad_with_fixed data + % 'U0' followed by #V by dim initial guess + % Outputs: + % U #V by dim list of deformed curve vertex positions + % data struct output of min_quad_with_fixed + % + + if size(E,2)>2 + E = edges(E); + end + + % default values + R = []; + data = []; + % Initial guess + U = V; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'EdgeLengths','Data','U0'}, ... + {'R','data','U'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + % number of vertices + m = size(V,1); + % number of springs + s = size(E,1); + + if isempty(data) + % compute rest edge norms + if isempty(R) + data.R = sqrt(sum((V(E(:,1),:)-V(E(:,2),:)).^2,2)); + end + % Inversely proportional to length (then squared) + K = data.R.^-0.5; + %% Uniform for now + %K = ones(s,1); + % Spring signed incidence matrix + A = sparse(E,[1:s;1:s]',[K,-K],m,s); + % "Laplacian" + data.L = A*A'; + S = diag(sparse(K)); + data.J = A*S; + data.mqwf = []; + end + + iter = 0; + max_iter = 100; + while true + % Fix U and find D ("local" step) + % recompute edge vectors + D = U(E(:,1),:)-U(E(:,2),:); + % normalize + D = bsxfun(@times,D,data.R./sqrt(sum(D.^2,2))); + % Fix D and find U ("global" step) + [U,data.mqwf] = min_quad_with_fixed(0.5*data.L,-data.J*D,b,bc,[],[],data.mqwf); + iter = iter + 1; + if iter == max_iter + break; + end + end +end diff --git a/matlab/external/gptoolbox/mesh/fd_laplacian.m b/matlab/external/gptoolbox/mesh/fd_laplacian.m new file mode 100644 index 0000000..15b7969 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/fd_laplacian.m @@ -0,0 +1,34 @@ +function L = fd_laplacian(varargin) + % FD_LAPLACIAN build a finite difference laplacian. + % + % L = fd_laplacian(h,w) + % L = fd_laplacian([h,w]) + % + % Inputs: + % h number of nodes along height + % w number of nodes along width + % Outputs: + % L h*w by h*w Laplacian with negative diagonal. + % + function B = vec(A) + B = A(:)'; + end + + switch nargin + case 1 + h = varargin{1}(1); + w = varargin{1}(2); + case 2 + h = varargin{1}; + w = varargin{2}; + end + + I = bsxfun(@plus,h*(0:w-1),(1:h)'); + + L = sparse( ... + [vec(I(2:end,:)) vec(I(:,2:end))], ... + [vec(I(1:end-1,:)) vec(I(:,1:end-1))], ... + 1,w*h,w*h); + L = L + L'; + L = L-diag(sum(L,2)); +end diff --git a/matlab/external/gptoolbox/mesh/fill_holes.m b/matlab/external/gptoolbox/mesh/fill_holes.m new file mode 100644 index 0000000..86dd9d9 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/fill_holes.m @@ -0,0 +1,59 @@ +function HF = fill_holes(SV,SF) + % FILL_HOLES Try to fill holes using a very simple technique, followed by a + % "robust" back up. Neither is guaranteed to avoid things like + % self-intersections, but the resulting mesh should be manifold at holes if + % the input hole boundaries are manifold to begin with. Should probably try + % to remove any duplicate vertices before calling. + % + % Inputs: + % SV #SV by 3 list of mesh vertex positions + % SF #SF by 3 list of mesh triangle indices into SV + % Outputs: + % HF #HF by 3 list of indices into SV of triangles filling holes in + % (SV,SF). + % + + O = outline(SF); + CO = connected_components(O); + CO = CO(O(:,1)); + [~,~,CO] = unique(CO); + HF = []; + for c = 1:max(CO) + E = O(CO==c,:); + [EV,IM] = remove_unreferenced(SV,E); + J = []; + J(IM) = 1:size(SV,1); + E = IM(E); + [~,A] = affine_fit(EV); + [EVV,EF] = triangle(EV*A,E,[],'Quiet'); + if size(EVV,1) ~= size(EV,1) + EF = []; + EE = E; + while ~isempty(EE) + loop = full(outline_loop(EE)); + maxA = inf; + maxEF = []; + for s = 1:numel(loop) + loop = loop([2:end 1]); + loop_1 = loop([2:end 1]); + loop_2 = loop_1([2:end 1]); + sEF = [repmat(loop(1),numel(loop)-2,1) [loop_1(1:end-2) loop_2(1:end-2)]]; + A = sum(doublearea(EV,sEF)); + if A < maxA + maxA = A; + maxEF = sEF; + end + end + EF = [EF;maxEF]; + EE = EE(~all(ismember(EE,loop),2),:); + end + end + allE = [EF(:,2:3);EF(:,[3 1]);EF(:,1:2)]; + flip = ismember(E(1,:),allE,'rows'); + if flip + EF = fliplr(EF); + end + HF = [HF;J(EF)]; + end + +end diff --git a/matlab/external/gptoolbox/mesh/find_ears.m b/matlab/external/gptoolbox/mesh/find_ears.m new file mode 100644 index 0000000..7d384af --- /dev/null +++ b/matlab/external/gptoolbox/mesh/find_ears.m @@ -0,0 +1,25 @@ +function [ears,ear_opp,flops,flop_opp] = find_ears(F) + % FIND_EARS Find all ears (faces with two boundary edges) in a given mesh + % + % [ears,ear_opp,flops,flop_opp] = find_ears(F) + % + % Inputs: + % F #F by 3 list of triangle mesh indices + % Outputs: + % ears #ears list of indices into F of ears + % ear_opp #ears list of indices indicating which edge is non-boundary + % (connecting to flops) + % flop #ears list of indices into F of faces incident on ears + % flop_opp #ears list of indices indicating which edge is non-boundary + % (connecting to ears) + % + % Known bugs: (V,F) mmust be manifold near ears. + + % Must be manifold (actually only ears need to be) + [Fp, Fi] = tt(F); + % Definition: an ear has 2 boundary **edges** + ears = find(sum(Fp==-1,2)==2); + [flops,ear_opp] = max(Fp(ears,:),[],2); + flop_opp = Fi(sub2ind(size(Fp),ears,ear_opp)); +end + diff --git a/matlab/external/gptoolbox/mesh/fit_rigid.m b/matlab/external/gptoolbox/mesh/fit_rigid.m new file mode 100644 index 0000000..d1cf3da --- /dev/null +++ b/matlab/external/gptoolbox/mesh/fit_rigid.m @@ -0,0 +1,27 @@ +function [R,t] = fit_rigid(V,U) + % FIT_RIGID fit a rigid transformation that best matches V to U in the least + % squares sense: + % min ∑ || vi - R(ui+t) ||² + % + % Inputs: + % V #V by dim list of points + % U #V by dim list of points + % Outputs: + % R dim by dim rotation matrix transposed + % t dim translation vector + % + % Example: + % [R,t] = fit_rigid(V,U); + % UU = bsxfun(@plus,U*R,t); + + % sum up outerproducts of vector from each vertex to center of mass in U and + % V + S = bsxfun(@minus,U,mean(U))'*bsxfun(@minus,V,mean(V)); + % Find closest rotation + R = fit_rotation(S'); + + % translation is just difference of center of mass (assuming uniform mass + % distribution) + t = mean(V)-mean(U)*R; + +end diff --git a/matlab/external/gptoolbox/mesh/fit_rotation.m b/matlab/external/gptoolbox/mesh/fit_rotation.m new file mode 100644 index 0000000..f63cf71 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/fit_rotation.m @@ -0,0 +1,22 @@ +function R = fit_rotation(S) + % FIT_ROTATION find rotation for a given covariance matrix + % + % R = fit_rotation(S) + % + % Inputs: + % S n by n covariance matrix + % Outputs: + % R n by n rotation matrix closest to S + % + + % svd + [su,ss,sv]=svd(S); + R = sv*su'; + % if reflection then flip last column + if( det(R) < 0 ) + su(:,end) = -su(:,end); + R = sv*su'; + end + % should definitely be rotation now + %assert( det(R) >= 0 ); +end diff --git a/matlab/external/gptoolbox/mesh/fit_rotations.m b/matlab/external/gptoolbox/mesh/fit_rotations.m new file mode 100644 index 0000000..033335c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/fit_rotations.m @@ -0,0 +1,90 @@ +function [R,SS] = fit_rotations(S,varargin) + % FIT_ROTATIONS Given an input mesh and new positions find rotations for + % every vertex that best maps its one ring to the new one ring + % + % R = fit_rotations(S,'ParamName',ParamValue) + % + % Inputs: + % S dim by dim by #rotations list of covariance matrices to fit rotations + % to + % Optional parameters + % 'AllowFlips' optionally followed by true or false, find best fitting + % rotation OR reflection + % Outputs: + % R dim by dim by #F list of rotations + % SS dim by dim by #rotations list of svd diagonals + % + + % Even faster way to check if mex exists + if fit_rotations_mex + nr = size(S,3); + dim = size(S,1); + SS = reshape(permute(S,[3 1 2]),[nr*dim dim]); + R = fit_rotations_mex(SS,varargin{:}); + R = reshape(R,[dim dim nr]); + return; + end + + + dim = size(S,1); + assert(dim == size(S,2)); + nr = size(S,3); + allow_flips = false; + + single_precision = true; + % default values + % Map of parameter names to variable names + params_to_variables = containers.Map( {'AllowFlips','SinglePrecision'}, ... + {'allow_flips','single_precision'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + %R = cellfun(@fit_rotation,S,'UniformOutput',false); + %R = reshape(cell2mat(R'),[dim dim nr]); + % For loop is faster + R = zeros([dim dim nr]); + SS = zeros([dim dim nr]); + for ii = 1:nr + % svd + [su,ss,sv]=svd(S(:,:,ii)); + Ri = sv*su'; + SS(:,:,ii) = ss; + % if reflection then flip last column + if(~allow_flips && det(Ri) < 0 ) + su(:,end) = -su(:,end); + Ri = sv*su'; + end + % should definitely be rotation now + %assert( det(Ri) >= 0 ); + R(:,:,ii) = Ri; + end + + function D = det3(M) + % DET3 compute the determinant of a 3x3 matrix + % Input: + % M 3 by 3 matrix + % Output: + % D determinant + % + % http://en.wikipedia.org/wiki/Determinant#3-by-3_matrices + D = ... + M(1,1) * M(2,2) * M(3,3) + ... + M(1,2) * M(2,3) * M(3,1) + ... + M(1,3) * M(2,1) * M(3,2) - ... + M(1,3) * M(2,2) * M(3,1) - ... + M(1,2) * M(2,1) * M(3,3) - ... + M(1,1) * M(2,3) * M(3,2); + end + +end diff --git a/matlab/external/gptoolbox/mesh/fixNEIGH.m b/matlab/external/gptoolbox/mesh/fixNEIGH.m new file mode 100644 index 0000000..d211f74 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/fixNEIGH.m @@ -0,0 +1,66 @@ +function [new_TN,mani,correct] = fixNEIGH(TT,TN) + % FIXNEIGH Tetgen outputs neighbor indices inconsistently. This fixes them so + % that new_TN(i,k) = j means that tet i shares the face opposite its kth + % vertex with tet j. + % + % [new_TN] = fixNEIGH(TT,TN) + % + % Inputs: + % TT #TT by dim+1 list of simplex indices + % TN #TT by dim+1 list of tet neighbors, so that T(i,k) = j means tet i + % shares *some* face with tet j + % Outputs: + % new_TN #TT by dim+1 list of tet neighbors, new_TN(i,k) = j means that + % tet i shares the face opposite its kth vertex with tet j. + % mani whether mesh is face-manifold, new_TN <- [] + % correct whether TN corresponds to face-neighbors, new_TN <- [] + % + % + + + + mani = true; + correct = true; + new_TN = []; + + % Get edges + TE = [repmat(1:size(TT,1),1,size(TT,2))' TN(:)]; + % verify edges are symmetric + A = sparse(TE(TE(:,2)>0,1),TE(TE(:,2)>0,2),1); + assert(size(A,1)==size(A,2)); + assert(max(max(A'-A))==0); + + %% Need to fix? + % Interface triangles + TTI = [TT(:,[2 3 4]); TT(:,[3 4 1]); TT(:,[4 1 2]); TT(:,[1 2 3])]; + A = sparse(TE(TE(:,2)>0,1),TE(TE(:,2)>0,2),sum(TTI(TE(:,2)>0,:),2)); + already_consistent = full(max(max(abs(A-A'))))==0; + if already_consistent + warning('Seems already consistent'); + end + + % Get rid of boundary edges + TE = TE(TE(:,2)>0,:); + TNI = zeros(size(TE,1),1); + for c = 1:size(TT,2) + [TNIc] = all(~bsxfun(@eq,TT(TE(:,1),c),TT(TE(:,2),:)),2); + % Assert face-manifoldness + if ~all(TNI(TNIc) == 0) + mani = false; + end + TNI(TNIc) = c; + end + % Assert that edges correspond to face sharers + if ~all(TNI>0) + correct = false; + end + + if ~mani || ~correct + return; + end + + % Rebuild TN + new_TN = full(sparse(TE(:,1),TNI,TE(:,2),size(TN,1),size(TN,2))); + % boundary values consistent with input + new_TN(new_TN==0) = min(min(TN(:)),0); +end diff --git a/matlab/external/gptoolbox/mesh/flip_ears.m b/matlab/external/gptoolbox/mesh/flip_ears.m new file mode 100644 index 0000000..a4cf140 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/flip_ears.m @@ -0,0 +1,89 @@ +function FF = flip_ears(V,F,varargin) + % FLIP_EARS Flip ears (triangles with two boundary edges) + % + % FF = flip_ears(V,F) + % FF = flip_ears(V,F,'ParameterName',ParameterValue, ...) + % + % Inputs: + % V #V by 3 list of mesh vertices + % F #F by 3 list of triangle mesh indices + % Optional: + % 'PlanarOnly' followed by whether to flip only if ears and their flops + % form a planar quad. {false} + % 'PlanarEpsilon' Epsilon used to determine planarity {1e-8}. + % 'FlipAndClip' followed by whether to Flip ears then clip any new ears, + % then repeat until convergence {false} + % Outputs: + % FF #F by 3 list of new triangle mesh indices + % + % Known bugs: (V,F) mmust be manifold near ears. + % + + + + % default values + planar_only = false; + epsilon = 1e-8; + flip_and_clip = false; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'PlanarOnly','PlanarEpsilon','FlipAndClip'}, ... + {'planar_only','epsilon','flip_and_clip'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + + % output + FF = F; + while true + F = FF; + [ears,ear_opp,flops,flop_opp] = find_ears(F); + % should check that ears are not neighbors, and then do what? + + % Check that ears + flops are planar + + % Quad + %Q = [F(ears,:) F(sub2ind(size(F),flops,flop_opp))]; + if planar_only + V(:,end+1:3) = 0; + Near = normalizerow(normals(V,F(ears,:))); + Nflop = normalizerow(normals(V,F(flops,:))); + D = (1-sum(Near.*Nflop,2)) flop_opp + FF(sub2ind(size(F),ears,mod(ear_opp+1,3)+1)) = F(sub2ind(size(F),flops,flop_opp)); + FF(sub2ind(size(F),flops,mod(flop_opp+1,3)+1)) = F(sub2ind(size(F),ears,ear_opp)); + + if flip_and_clip + [ears,ear_opp,flops,flop_opp] = find_ears(FF); + if isempty(ears) + break; + else + FF(ears,:) = []; + end + else + break; + end + end + +end diff --git a/matlab/external/gptoolbox/mesh/flip_edges.m b/matlab/external/gptoolbox/mesh/flip_edges.m new file mode 100644 index 0000000..ab76833 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/flip_edges.m @@ -0,0 +1,206 @@ +function [FF,I,l] = flip_edges(F,E,varargin) + % FLIP_EDGES Flip edges (E) of a mesh (F). Mesh should contain edges E and + % be edge-manifold along each edges in E. Edges will be flipped according to + % the order of rows in E: **order** matters. Flipping coincident edges + % requires care on the callers part (e.g. to avoid creating degenerate + % triangles). + % + % Inputs: + % F #F by 3 list of triangle indices into some list of vertices + % E #E by 2 list of undirected edges. + % Optional: + % 'AllowNonManifold' followed by whether to only flip edges if the new + % edge does not already exist. {false} + % 'SideLengths' followed by: + % l #F by 3 list of side lengths corresponding to edges 23 31 12 + % 'MaxIter' maximum iterations of disconnected edge components + % Outputs: + % FF #F by 3 list of new facets + % I #F*3 list of indices such that FF = reshape(F(I),size(F)) + % l #F by 3 list of side lengths corresponding to edges 23 31 12 + % + + % default values + l = []; + max_iter = inf; + allow_nm = false; + V = []; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'SideLengths','MaxIter','V','AllowNonManifold'}, ... + {'l','max_iter','V','allow_nm'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + if ~isempty(l) + assert(all(size(F)==size(l)),'|Edge lengths| should match |F|'); + end + + % number of vertices + nv = max(F(:)); + nf = size(F,1); + assert(max(E(:))<=nv,'Edges exceed vertices in faces'); + + % Direct adjacency matrix + allE = [F(:,[2 3]);F(:,[3 1]);F(:,[1 2])]; + sortE = sort(allE,2); + uE = unique(sortE,'rows'); + + DA = sparse(sortE(:,1),sortE(:,2),1-2*(allE(:,2)>allE(:,1)),nv,nv); + % Edge partiy sum adjacency matrix + EP = DA - DA'; + % Symmetrize + EP = EP + EP'; + % Non-manifold edges in query + NM = EP(sub2ind(size(EP),E(:,1),E(:,2)))~=0; + if any(NM) + warning('Non-manifold, boundary edge flips ignored.'); + E = E(~NM,:); + end + + FF = F; + I = 1:numel(F); + + iter = 1; + while ~isempty(E) + % Find one edge per connected component of edges (ideally we would find a + % "perfect matching") + % Should be done in reduced graph of just vertices incident on E + ne = size(E,1); + C = connected_components(E); + C = C(E(:,1)); + % Use reverse order so we can take max + E2C = sparse(1:ne,C,ne-(1:ne)+1,ne,max(C)); + mI = max(E2C,[],1); + mI = mI(mI>0); + % reverse + mI = ne - mI + 1; + EE = E(mI,:); + + if ~isempty(V) + tsurf(FF,V,'FaceColor','r'); + hold on; + plot_edges(V,EE,'LineWidth',3); + hold off; + axis equal; + input(''); + end + + % Pop those from E + E = E(setdiff(1:end,mI),:); + + % Need to check that resulting edge is manifold. + + % EE now has at most one edge incident on a vertex + allE = [FF(:,[2 3]);FF(:,[3 1]);FF(:,[1 2])]; + [found,f_left] = ismember(EE,allE,'rows'); + assert(all(found),'Edges should appear in facets'); + f_left_c = floor((f_left-1)/nf)+1; + f_left = mod(f_left-1,nf)+1; + [found,f_right] = ismember(fliplr(EE),allE,'rows'); + if any(~found) && ~isempty(V) + tsurf(F,V); + hold on; + plot_edges(V,EE(~found,:),'r','LineWidth',4); + hold off; + end + assert(all(found),'Edges should appear in facets in both directions'); + f_right_c = floor((f_right-1)/nf)+1; + f_right = mod(f_right-1,nf)+1; + + % + % e1----fj + % | \ | + % | \ | + % | \ | + % | \ | + % fi-----e2 + % + + % Should be safe to read and write from FF alternating, since edges should + % not touch. + fJ_left = sub2ind(size(F),f_right,f_right_c); + fJ_right = sub2ind(size(F),f_left,f_left_c); + + new_EE = sort([FF(fJ_left) FF(fJ_right)],2); + if ~allow_nm + [found] = ismember(new_EE,uE,'rows'); + if any(found) + warning('Ignoring edge flips that would create non-manifold edges'); + new_EE = new_EE(~found,:); + f_left_c = f_left_c(~found); + f_left = f_left(~found); + f_right = f_right(~found); + f_right_c = f_right_c(~found); + fJ_left = fJ_left(~found); + fJ_right = fJ_right(~found); + end + end + fI_left = sub2ind(size(F),f_left,mod(f_left_c+1,3)+1); % +2 + fI_right = sub2ind(size(F),f_right,mod(f_right_c+1,3)+1); % +2 + + if nargout >= 3 + % New edge lengths via [Fisher et al. 2007] + le = sub2ind(size(F),f_left,mod(f_left_c-1+0,3)+1); % +0 + la = sub2ind(size(F),f_left,mod(f_left_c-1+1,3)+1); % +1 + lb = sub2ind(size(F),f_left,mod(f_left_c-1+2,3)+1); % +2 + re = sub2ind(size(F),f_right,mod(f_right_c-1+0,3)+1); % +0 + rc = sub2ind(size(F),f_right,mod(f_right_c-1+1,3)+1); % +1 + rd = sub2ind(size(F),f_right,mod(f_right_c-1+2,3)+1); % +2 + a = l(la); + b = l(lb); + e = l(le); % == l(fI_right_e) + c = l(rc); + d = l(rd); + % tan(alpha/2) + tan_a_2 = sqrt(((a-b+e).*(a+b-e))./((a+b+e).*(-a+b+e))); + tan_d_2 = sqrt(((d+e-c).*(d-e+c))./((d+e+c).*(-d+e+c))); + % tan((alpha+delta)/2) + tan_a_d_2 = (tan_a_2 + tan_d_2)./(1-tan_a_2.*tan_d_2); + % cos(alpha+delta) + cos_a_d = (1-tan_a_d_2.^2)./(1+tan_a_d_2.^2); + f = sqrt(b.^2 + c.^2 - 2.*b.*c.*cos_a_d); + + % Need to swap, so be lazy and copy + old_l = l; + % vb --> ve, la --> f, le --> lc + l(la) = f; + l(le) = old_l(rc); + % vd --> ve, lc --> f, re --> la + l(rc) = f; + l(re) = old_l(la); + end + + I(fI_left) = fJ_left; + FF(fI_left) = FF(fJ_left); + I(fI_right) = fJ_right; + FF(fI_right) = FF(fJ_right); + + if ~isempty(V) + tsurf(FF,V,'FaceColor','r'); + hold on; + plot_edges(V,new_EE,'LineWidth',3); + hold off; + axis equal; + input(''); + end + + if iter >= max_iter + break; + end + iter = iter + 1; + end + + +end diff --git a/matlab/external/gptoolbox/mesh/forward_kinematics.m b/matlab/external/gptoolbox/mesh/forward_kinematics.m new file mode 100644 index 0000000..55b1685 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/forward_kinematics.m @@ -0,0 +1,62 @@ +function [Q,T] = forward_kinematics(C,BE,P,dQ) + % Compute absolute transformations from FK hierarchy and relative bone + % rotations. + % + % Inputs: + % C #C by dim list of joint positions + % BE #BE by 2 list of bone edge indices + % P #BE list of parent indices into BE + % dQ #BE by 4 list of relative rotations + % Outputs: + % Q #BE by 4 list of absolute rotations + % T #BE by 2 list of absolute translations + % + % Example: + % [Q,T] = forward_kinematics(C,BE,P,mpose); + % % stacked transposed 3x4 Affine matrices + % A = reshape(cat(2,permute(quat2mat(Q),[2 1 3]),permute(T,[2 3 1])),3,[])'; + % n = size(V,1); + % M = reshape(bsxfun(@times,[V ones(n,1)],permute(W,[1 3 2])),n,[]); + % % Linear blend skinning: + % U = M*A + + function fk_helper(b) + %function w = quatrotate(q,v) + % vv = [v 0]; + % w = quatmultiply(quatmultiply(q,v),quatconj(q)); + % w = w(1:3); + %end + if ~computed(b) + p = P(b); + if p < 1 + % base case for roots + Q(b,:) = dQ(b,:); + r = C(BE(b,1),:); + T(b,:) = r - quatrotate(dQ(b,:),r); + else + % otherwise first compute parent's + fk_helper(p); + Q(b,:) = quatmultiply(Q(p,:),dQ(b,:)); + r = C(BE(b,1),:); + T(b,:) = T(p,:) - quatrotate(Q(b,:),r) + ... + quatrotate(Q(p,:),r); + end + computed(b) = true; + end + end + + + % number of bones + m = size(BE,1); + assert(m == size(dQ,1)); + assert(m == size(P,1)); + + % Whether we've already computed FK for this bone: dynamic programming + computed = false(m,1); + Q = zeros(m,4); + T = zeros(m,3); + for b = 1:m + fk_helper(b); + end + +end diff --git a/matlab/external/gptoolbox/mesh/fphong.m b/matlab/external/gptoolbox/mesh/fphong.m new file mode 100644 index 0000000..f34d864 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/fphong.m @@ -0,0 +1,11 @@ +function str = fphong() + % FPHONG Simple returns: + % struct('FaceColor','interp','FaceLighting','phong'); + % + % str = fphong() + % + % Example: + % set(tsurf(F,V),fphong); + % + str = struct('FaceColor','interp','FaceLighting','phong'); +end diff --git a/matlab/external/gptoolbox/mesh/gauss_map.m b/matlab/external/gptoolbox/mesh/gauss_map.m new file mode 100644 index 0000000..215cb2c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/gauss_map.m @@ -0,0 +1,45 @@ +function [N,E] = gaussmap(V,F) + % GAUSSMAP Compute the gaussmap surface of a given mesh (V,F) + % + % Inputs: + % V #V by 3 list of mesh vertices + % F #F by 3 list of mesh triangle indices + % Outputs: + % N #F by 3 list of mesh normals (points on gauss map) + % E #E by 2 list of indices into N (spherical edges on gauss map) + % + % + % + % Example: + % [N,E] = gauss_map(V,F); + % subplot(1,2,1); + % tsurf(F,V,'FaceVertexCData',0.5*N+0.5) + % axis equal; + % l = sqrt(sum((N(E(:,1),:) - N(E(:,2),:)).^2,2)); + % E = E(l>0,:); + % [N,I] = remove_unreferenced(N,E); + % E = I(E); + % [N,E] = spherical_subdivision(N,E,'MaxIter',5,'MinLength',0.1); + % subplot(1,2,2); + % tsurf([E E(:,1)],N, ... + % 'FaceVertexCData',0.5*N+0.5,'EdgeColor','interp','LineWidth',2); + % axis equal; + + N = normalizerow(normals(V,F)); + + % List of all "half"-edges: 3*#F by 2 + allE = [F(:,[2 3]); F(:,[3 1]); F(:,[1 2])]; + % Sort each row + sortallE = sort(allE,2); + % IC(i) tells us where to find sortallE(i,:) in uE: + % so that sortallE(i,:) = uE(IC(i),:) + [uE,~,IC] = unique(sortallE,'rows'); + % uE2F(e,f) = 1 means face f is adjacent to unique edge e + uE2F = sparse(IC(:),repmat(1:size(F,1),1,3)',1); + % Face-face Adjacency matrix + A = uE2F'*uE2F; + + [EI,EJ,~] = find(A); + E = [EI EJ]; + +end diff --git a/matlab/external/gptoolbox/mesh/get_control_points.m b/matlab/external/gptoolbox/mesh/get_control_points.m new file mode 100644 index 0000000..c8793c7 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/get_control_points.m @@ -0,0 +1,40 @@ +function [C,flag] = get_control_points(V,F) + % GET_CONTROL_POINTS displays a mesh and prompts user to select positions of + % controls points with the mouse. Press enter when finished or escape to + % cancel + % + % [C] = get_control_points(V,F) + % + % Inputs: + % V #V by dim list of control points + % F #F by 3 list of face indices + % Outputs: + % C #C by 2 list of control point positions, if escaped is pressed then + % this will be empty + % flag false only if getpts was cancelled + % + % See also: getpts + % + + V(:,end+1:3) = 0; + trisurf(F,V(:,1),V(:,2),V(:,3)); + view(2); + axis equal; + + Cx = zeros(0,1); + Cy = zeros(0,1); + flag = false; + try + [Cx,Cy] = getpts(); + flag = true; + catch e + e.identifier + switch e.identifier + case {'MATLAB:license:checkouterror','MATLAB:UndefinedFunction'} + % probably don't have image processing toolbox + [Cx,Cy] = ginput; + end + end + + C = [Cx Cy]; +end diff --git a/matlab/external/gptoolbox/mesh/get_pencil_curve.m b/matlab/external/gptoolbox/mesh/get_pencil_curve.m new file mode 100644 index 0000000..5644d7c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/get_pencil_curve.m @@ -0,0 +1,99 @@ +function [P,p] = get_pencil_curve(f) + % GET_PENCIL_CURVE Get a curve (sequence of points) from the user by dragging + % on the current plot window + % + % P = get_pencil_curve() + % P = get_pencil_curve(f) + % + % Inputs: + % f figure id + % Outputs: + % P #P by 3 list of points + % p handle to plot + % + % + P = []; + + % Get the input figure or get current one (creates new one if none exist) + if nargin == 0 || isempty(f) + f = gcf; + end + figure(f); + + % get axes of current figure (creates on if doesn't exist) + a = gca; + + % set equal axis + axis equal; + % freeze axis + axis manual; + % set view to XY plane + view(2); + + rotate3d off; + set(gcf,'windowbuttondownfcn',@ondown); + set(gcf,'keypressfcn', @onkeypress); + % living variables + p = []; + + done = false; + while(~done) + drawnow; + end + + % We've been also gathering Z coordinate which is meaningless + P = P(:,1:2); + + % Callback for mouse press + function ondown(src,ev) + % Tell window that we'll handle drag and up events + set(gcf,'windowbuttonmotionfcn', @ondrag); + set(gcf,'windowbuttonupfcn', @onup); + append_current_point(); + end + + % Callback for mouse press + function ondrag(src,ev) + append_current_point(); + end + + % Callback for mouse release + function onup(src,ev) + % Tell window to handle down, drag and up events itself + finish(); + end + + function onkeypress(src,ev) + % escape character id + ESC = char(27); + switch ev.Character + case ESC + finish(); + %otherwise + % finish(); + % error(['Unknown key: ' ev.Character]); + end + end + + function append_current_point() + % get current mouse position, and remember old one + cp = get(gca,'currentpoint'); + P = [P;cp(1,:)]; + if isempty(p) + hold on; + p = plot(P(:,1),P(:,2)); + hold off; + else + set(p,'Xdata',P(:,1),'Ydata',P(:,2)); + end + end + + function finish() + done = true; + set(gcf,'windowbuttonmotionfcn',''); + set(gcf,'windowbuttonupfcn',''); + set(gcf,'windowbuttondownfcn',''); + set(gcf,'keypressfcn',''); + end + +end diff --git a/matlab/external/gptoolbox/mesh/get_pencil_curves.m b/matlab/external/gptoolbox/mesh/get_pencil_curves.m new file mode 100644 index 0000000..c266284 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/get_pencil_curves.m @@ -0,0 +1,31 @@ +function [V,E,cid] = get_pencil_curves(tol) + % GET_PENCIL_CURVES Get many pencil curves + % + % [V,E,cid] = get_pencil_curves(tol) + % + % Inputs: + % tol dpsimplify tolerance + % Outputs: + % V #V by 2 list of vertices + % E #E by 2 list of edge indices into V + % cid list of indices into V indicating last vertex in each curve + % + % See also: get_pencil_curve + % + V = []; + E = []; + cid = []; + while true + hold on; + V1 = get_pencil_curve(); + hold off; + V1 = dpsimplify(V1,tol); + E1 = [1:size(V1,1)-1;2:size(V1,1)]'; + E = [E;size(V,1)+E1]; + V = [V;V1]; + cid = [cid;size(V,1)]; + if input('Continue? y/n','s') == 'n' + return + end + end +end diff --git a/matlab/external/gptoolbox/mesh/getlayers.m b/matlab/external/gptoolbox/mesh/getlayers.m new file mode 100644 index 0000000..ca9a610 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/getlayers.m @@ -0,0 +1,63 @@ +function [layers,interior,layershe] = getlayers(mesh, nlayers) +% GETLAYERS Get layers from a manifold mesh stored as a half-edge +% datastructure. +% +% [layers,interior] = getlayers(mesh, nlayers) +% +% Inputs: +% mesh mesh struct +% nlayers number of layers to get, >= 1 +% Outputs: +% layers cell array of index sets for layers 1.. k, and index set for +% interior layers are defined recursively as layer(1) = vertices on the +% boundary layer(i) = vertices edge-adjacent to layer(i-1) +% interior list of indices to interior vertices +% layershe list of layers as half-edges +% +% See also: hds + + ind = 1:mesh.nhe; + layers = {}; + % assume that no more than one layer boundary halfedge points to a vertex + % layer(1) + layers{1} = mesh.tip(mesh.bndhe); + layershe{1} = mesh.bndhe; + allprev_layers = layers{1}; + for i = 2:nlayers + % layer{i} is the set difference between the set of all tail vertices + % of halfedges with tips pointing to vertices in layer{i-1} + % and all vertices in layers 0.. i-1 + layers{i} = setdiff(... + mesh.tail(ind(ismember(mesh.tip,layers{i-1}))),... + allprev_layers); + % now find the halfedges of the layer; + % these are defined as the boundary halfedges of the mesh we obtain + % if we remove all faces with a vertex in layer{1}.. layer{i-1} + % this is equivalent (I think) to the halfedges satisfying the following conditions: + % 1) it is the halfedge of a triangle with exactly two vertices in layer{i} + % 2) the remaining vertex of the triangle is in layer{i-1}, + % 3) its tip and tail in layer{i} + % 4) the triangle on the opposite side is in not in layer{i-1} + + % triangles with 2 vertices in layer{i} and a vertex outside + tri_with_i_edge = ismember(mesh.F(1,:), layers{i}) + ... + ismember(mesh.F(2,:), layers{i}) + ... + ismember(mesh.F(3,:), layers{i}) == 2; + tri_with_outside_vert = tri_with_i_edge & ... + (ismember(mesh.F(1,:), layers{i-1}) + ... + ismember(mesh.F(2,:), layers{i-1}) + ... + ismember(mesh.F(3,:), layers{i-1}) == 1); + % now get the indices of halfedges on the boundary + tri_ind = find(tri_with_outside_vert); + % indices of all triangle halfedges + he_ind = [tri_ind tri_ind+mesh.nfaces tri_ind+2*mesh.nfaces]; + % the halfedges we need have both the tip and tail in layer{i} + he_ind_layer_i = he_ind(ismember(mesh.tip(he_ind),layers{i}) & ... + ismember(mesh.tail(he_ind),layers{i}) ); + % he pointing to the opposite vertex of the triangle on the other side + he_ind_opp_vertex = mesh.next(mesh.opp(he_ind_layer_i)); + layershe{i} = he_ind_layer_i(~ismember(mesh.tip(he_ind_opp_vertex),layers{i-1})); + allprev_layers = union(layers{i},allprev_layers); + end + interior = setdiff(1:mesh.nvert,allprev_layers); +end diff --git a/matlab/external/gptoolbox/mesh/getlayershe.m b/matlab/external/gptoolbox/mesh/getlayershe.m new file mode 100644 index 0000000..61ee955 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/getlayershe.m @@ -0,0 +1,77 @@ +function [layershe] = ... + getlayershe(mesh, outside_region_of_interest, nlayers) +% GETLAYERSHE Does the same as getlayers except instead of finding layers by +% shrinking from boundary it expects mesh.layers to already contain the proper +% indices. So that this function just sets layershe properly +% +% [layers,interior] = getlayers(mesh, nlayers) +% +% Inputs: +% mesh mesh half-edge struct +% nlayers number of layers to get, >= 1 +% Outputs: +% lyaershe cell array of index sets for layers 1.. k, and index set for +% interior layers are defined recursively as layer(1) = vertices on the +% boundary layer(i) = vertices edge-adjacent to layer(i-1) + + ind = 1:mesh.nhe; + for i = 1:nlayers + % layer{i} is the set difference between the set of all tail vertices + % of halfedges with tips pointing to vertices in layer{i-1} + % and all vertices in layers 0.. i-1 + %layers{i} = setdiff(... + %mesh.tail(ind(ismember(mesh.tip,layers{i-1}))),... + %allprev_layers); + + % now find the halfedges of the layer; + % these are defined as the boundary halfedges of the mesh we obtain + % if we remove all faces with a vertex in layer{1}.. layer{i-1} + % this is equivalent (I think) to the halfedges satisfying the following conditions: + % 1) it is the halfedge of a triangle with exactly two vertices in layer{i} + % 2) the remaining vertex of the triangle is in layer{i-1}, + % 3) its tip and tail in layer{i} + % 4) the triangle on the opposite side is in not in layer{i-1} + + % triangles with 2 vertices in layer{i} and a vertex outside + tri_with_i_edge = ismember(mesh.F(1,:), mesh.layers{i}) + ... + ismember(mesh.F(2,:), mesh.layers{i}) + ... + ismember(mesh.F(3,:), mesh.layers{i}) == 2; + + + if(i==1) + % TODO this is not catching case when layers{1} has true boundary hes + tri_with_outside_vert = tri_with_i_edge & ... + (ismember(mesh.F(1,:), outside_region_of_interest) + ... + ismember(mesh.F(2,:), outside_region_of_interest) + ... + ismember(mesh.F(3,:), outside_region_of_interest) == 1); + else + tri_with_outside_vert = tri_with_i_edge & ... + (ismember(mesh.F(1,:), mesh.layers{i-1}) + ... + ismember(mesh.F(2,:), mesh.layers{i-1}) + ... + ismember(mesh.F(3,:), mesh.layers{i-1}) == 1); + end + + % now get the indices of halfedges on the boundary + tri_ind = find(tri_with_outside_vert); + % indices of all triangle halfedges + he_ind = [tri_ind tri_ind+mesh.nfaces tri_ind+2*mesh.nfaces]; + % the halfedges we need have both the tip and tail in layer{i} + he_ind_layer_i = he_ind(ismember(mesh.tip(he_ind),mesh.layers{i}) & ... + ismember(mesh.tail(he_ind),mesh.layers{i}) ); + % he pointing to the opposite vertex of the triangle on the other side + he_ind_opp_vertex = mesh.next(mesh.opp(he_ind_layer_i)); + if(i==1) + % TODO this is not catching case when layers{1} has true boundary hes + layershe{i} = he_ind_layer_i(~ismember(mesh.tip(he_ind_opp_vertex),outside_region_of_interest)); + else + layershe{i} = he_ind_layer_i(~ismember(mesh.tip(he_ind_opp_vertex),mesh.layers{i-1})); + end + end +end + + + + + + + diff --git a/matlab/external/gptoolbox/mesh/glue_reverse.m b/matlab/external/gptoolbox/mesh/glue_reverse.m new file mode 100644 index 0000000..72289e1 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/glue_reverse.m @@ -0,0 +1,40 @@ +function [VV,FF,RIM] = glue_reverse(V,F) + % GLUE_REVERSE Glue a mesh to itself at its boundary reversing the + % z-coordinates of one of the copies. Useful for creating closed meshes from + % inflated disks. + % + % [VV,FF,RIM] = glue_reverse(V,F) + % + % Inputs: + % V #V by 3 list of vertex positions + % F #F by 3 list of face indices + % Outputs: + % VV #VV by 3 list of new vertex positions + % FF #FF by 3 list of new face indices + % RIM #V by 1 list of reindexing indices such that V(RIM,:) = VV + % + + % number of domain vertices + n = size(V,1); + dim = size(V,2); + % concatenate vertex lists with Z-coord of copy flipped + VV = [V; V(:,1:2) -1*V(:,3:dim)]; + % get list of unique boundary vertex indices + out = unique(reshape(outline(F),[],1)); + VV(out,3:dim) = 0; + % get list of new faces as if we'd just concatenate vertex lists, normals of new + % faces are flipped + Fflip = fliplr(F); + % Tell new boundary vertices to point to original ones + Fflip(~ismember(Fflip,out)) = n+Fflip(~ismember(Fflip,out)); + FF = [F;Fflip]; + % rearrange vertices so those used by faces come first + [VV,~,FF,IM] = faces_first(VV,[],FF); + % only keep up to those used by faces (throw out boundary copies) + VV = VV(1:max(FF(:)),:); + %IM = IM(1:max(FF(:)),:); + RIM = zeros(size(VV,1),1); + RIM(IM) = [1:n 1:n]; + RIM = RIM(1:max(FF(:)),:); +end + diff --git a/matlab/external/gptoolbox/mesh/grad.m b/matlab/external/gptoolbox/mesh/grad.m new file mode 100644 index 0000000..aa88bf9 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/grad.m @@ -0,0 +1,161 @@ +function [G] = grad(V,F) + % GRAD Compute the numerical gradient operator for triangle or tet meshes + % + % G = grad(V,F) + % + % Inputs: + % V #vertices by dim list of mesh vertex positions + % F #faces by simplex-size list of mesh face indices + % Outputs: + % G #faces*dim by #V Gradient operator + % + % Example: + % L = cotmatrix(V,F) + % G = grad(V,F); + % dblA = doublearea(V,F); + % GMG = -G'*repdiag(diag(sparse(dblA)/2),3)*G; + % + % % Columns of W are scalar fields + % G = grad(V,F); + % % Compute gradient magnitude for each column in W + % GM = squeeze(sqrt(sum(reshape(G*W,size(F,1),size(V,2),size(W,2)).^2,2))); + % + + dim = size(V,2); + ss = size(F,2); + switch ss + case 3 + % append with 0s for convenience + if size(V,2) == 2 + V = [V zeros(size(V,1),1)]; + end + + % Gradient of a scalar function defined on piecewise linear elements (mesh) + % is constant on each triangle i,j,k: + % grad(Xijk) = (Xj-Xi) * (Vi - Vk)^R90 / 2A + (Xk-Xi) * (Vj - Vi)^R90 / 2A + % grad(Xijk) = Xj * (Vi - Vk)^R90 / 2A + Xk * (Vj - Vi)^R90 / 2A + + % -Xi * (Vi - Vk)^R90 / 2A - Xi * (Vj - Vi)^R90 / 2A + % where Xi is the scalar value at vertex i, Vi is the 3D position of vertex + % i, and A is the area of triangle (i,j,k). ^R90 represent a rotation of + % 90 degrees + % + % renaming indices of vertices of triangles for convenience + i1 = F(:,1); i2 = F(:,2); i3 = F(:,3); + % #F x 3 matrices of triangle edge vectors, named after opposite vertices + v32 = V(i3,:) - V(i2,:); v13 = V(i1,:) - V(i3,:); v21 = V(i2,:) - V(i1,:); + + % area of parallelogram is twice area of triangle + % area of parallelogram is || v1 x v2 || + n = cross(v32,v13,2); + + % This does correct l2 norm of rows, so that it contains #F list of twice + % triangle areas + dblA = normrow(n); + + % now normalize normals to get unit normals + u = normalizerow(n); + + % rotate each vector 90 degrees around normal + %eperp21 = bsxfun(@times,normalizerow(cross(u,v21)),normrow(v21)./dblA); + %eperp13 = bsxfun(@times,normalizerow(cross(u,v13)),normrow(v13)./dblA); + eperp21 = bsxfun(@times,cross(u,v21),1./dblA); + eperp13 = bsxfun(@times,cross(u,v13),1./dblA); + + %g = ... + % ( ... + % repmat(X(F(:,2)) - X(F(:,1)),1,3).*eperp13 + ... + % repmat(X(F(:,3)) - X(F(:,1)),1,3).*eperp21 ... + % ); + + G = sparse( ... + [0*size(F,1)+repmat(1:size(F,1),1,4) ... + 1*size(F,1)+repmat(1:size(F,1),1,4) ... + 2*size(F,1)+repmat(1:size(F,1),1,4)]', ... + repmat([F(:,2);F(:,1);F(:,3);F(:,1)],3,1), ... + [eperp13(:,1);-eperp13(:,1);eperp21(:,1);-eperp21(:,1); ... + eperp13(:,2);-eperp13(:,2);eperp21(:,2);-eperp21(:,2); ... + eperp13(:,3);-eperp13(:,3);eperp21(:,3);-eperp21(:,3)], ... + 3*size(F,1), size(V,1)); + + %% Alternatively + %% + %% f(x) is piecewise-linear function: + %% + %% f(x) = ∑ φi(x) fi, f(x ∈ T) = φi(x) fi + φj(x) fj + φk(x) fk + %% ∇f(x) = ... = ∇φi(x) fi + ∇φj(x) fj + ∇φk(x) fk + %% = ∇φi fi + ∇φj fj + ∇φk) fk + %% + %% ∇φi = 1/hjk ((Vj-Vk)/||Vj-Vk||)^perp = + %% = ||Vj-Vk|| /(2 Aijk) * ((Vj-Vk)/||Vj-Vk||)^perp + %% = 1/(2 Aijk) * (Vj-Vk)^perp + %% + %m = size(F,1); + %eperp32 = bsxfun(@times,cross(u,v32),1./dblA); + %G = sparse( ... + % [0*m + repmat(1:m,1,3) ... + % 1*m + repmat(1:m,1,3) ... + % 2*m + repmat(1:m,1,3)]', ... + % repmat([F(:,1);F(:,2);F(:,3)],3,1), ... + % [eperp32(:,1);eperp13(:,1);eperp21(:,1); ... + % eperp32(:,2);eperp13(:,2);eperp21(:,2); ... + % eperp32(:,3);eperp13(:,3);eperp21(:,3)], ... + % 3*m,size(V,1)); + + if dim == 2 + G = G(1:(size(F,1)*dim),:); + end + + + % Should be the same as: + % g = ... + % bsxfun(@times,X(F(:,1)),cross(u,v32)) + ... + % bsxfun(@times,X(F(:,2)),cross(u,v13)) + ... + % bsxfun(@times,X(F(:,3)),cross(u,v21)); + % g = bsxfun(@rdivide,g,dblA); + + case 4 + % really dealing with tets + T = F; + % number of dimensions + assert(dim == 3); + % number of vertices + n = size(V,1); + % number of elements + m = size(T,1); + % simplex size + assert(size(T,2) == 4); + + % f(x) is piecewise-linear function: + % + % f(x) = ∑ φi(x) fi, f(x ∈ T) = φi(x) fi + φj(x) fj + φk(x) fk + φl(x) fl + % ∇f(x) = ... = ∇φi(x) fi + ∇φj(x) fj + ∇φk(x) fk + ∇φl(x) fl + % = ∇φi fi + ∇φj fj + ∇φk fk + ∇φl fl + % + % ∇φi = 1/hjk = Ajkl / 3V * (Facejkl)^perp + % = Ajkl / 3V * (Vj-Vk)x(Vl-Vk) + % = Ajkl / 3V * Njkl / ||Njkl|| + % + + % get all faces + F = [ ... + T(:,1) T(:,2) T(:,3); ... + T(:,1) T(:,3) T(:,4); ... + T(:,1) T(:,4) T(:,2); ... + T(:,2) T(:,4) T(:,3)]; + % compute areas of each face + A = doublearea(V,F)/2; + N = normalizerow(normals(V,F)); + + % compute volume of each tet + vol = volume(V,T); + + G = sparse( ... + [0*m + repmat(1:m,1,4) ... + 1*m + repmat(1:m,1,4) ... + 2*m + repmat(1:m,1,4)], ... + repmat([T(:,4);T(:,2);T(:,3);T(:,1)],3,1), ... + repmat(A./(3*repmat(vol,4,1)),3,1).*N(:), ... + 3*m,n); + + end +end diff --git a/matlab/external/gptoolbox/mesh/grad3.m b/matlab/external/gptoolbox/mesh/grad3.m new file mode 100644 index 0000000..b35d825 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/grad3.m @@ -0,0 +1,21 @@ +function G = grad3(V,T) + % GRAD3 Compute the numerical gradient operator for tet meshes in 3d + % + % G = grad(V,F) + % + % Inputs: + % V #vertices by dim list of mesh vertex positions + % T #elements by 3 list of mesh tet indices + % Outputs: + % G #elements*dim by #V Gradient operator + % + % Example: + % L = cotmatrix(V,T); + % G = grad3(V,T); + % vol = volume(V,T); + % GMG = -G'*repdiag(diag(sparse(vol)),3)*G; + % + + warning('Deprecated. Call grad directly.'); + G = grad(V,T); +end diff --git a/matlab/external/gptoolbox/mesh/group_sum_matrix.m b/matlab/external/gptoolbox/mesh/group_sum_matrix.m new file mode 100644 index 0000000..3d6bfd6 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/group_sum_matrix.m @@ -0,0 +1,30 @@ +function A = group_sum_matrix(G,k) + % GROUP_SUM_MATRIX Builds a matrix A such that A*V computes the sum of + % vertices in each group specified by G + % + % A = group_sum_matrix(G,k) + % + % Inputs: + % G #V list of group indices (1 to k) for each vertex, such that vertex i + % is assigned to group G(i) + % k #groups, default is max(G) + % Outputs: + % A #groups by #V sparse matrix such that A*V = group_sums + % + % See also: centroid_matrix + + + % number of vertices + n = numel(G); + % number of groups + if ~exist('k','var') + k = max(G); + end + + indices = 1:n; + + % builds A such that A(i,j) = 1 where i corresponds to group i and j + % corresponds to vertex j + A = sparse(G,indices,1,k,n); + +end diff --git a/matlab/external/gptoolbox/mesh/half_space_intersect.m b/matlab/external/gptoolbox/mesh/half_space_intersect.m new file mode 100644 index 0000000..1cc8644 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/half_space_intersect.m @@ -0,0 +1,44 @@ +function [VV,FF] = half_space_intersect(V,F,p,n) + % HALF_SPACE_INTERSECT Intersect a closed mesh (V,F) with a half space + % defined by a point on a plane the plane's normal. + % + % [VV,FF] = half_space_intersect(V,F,p,n) + % + % Inputs: + % V #V by 3 list of mesh vertex positions + % F #F by 3 list of triangle indices + % p 1 by 3 point on plane position + % n 1 by 3 plane normal vector + % Outputs: + % VV #VV by 3 list of new mesh vertex positions + % FF #FF by 3 list of new mesh triangle indices + % + + bbd = sqrt(sum((max(V)-min(V)).^2,2)); + % row vectors + n = reshape(n,1,[]); + p = reshape(p,1,[]); + N = null(n)'; + CV = bsxfun(@plus,p,bbd*[1 1;1 -1;-1 -1;-1 1]*N); + CF = [1 2 3;1 3 4]; + + VCV = [V;CV]; + FCF = [F;size(V,1)+CF]; + [VV,FF,~,J,IM] = selfintersect(VCV,FCF); + + CF = FF(J>size(F,1),:); + BC = barycenter(VV,CF); + w = winding_number(V,F,BC); + CF = CF(w>0.5,:); + + F = FF(J<=size(F,1),:); + BC = barycenter(VV,F); + F = F(sum(bsxfun(@times,bsxfun(@minus,BC,p),n),2)>=0,:); + FF = [F;CF]; + [VV,~,J] = remove_duplicate_vertices(VV,1e-10); + FF = J(FF); + [VV,J] = remove_unreferenced(VV,FF); + FF = J(FF); + [VV,FF] = remesh_planar_patches(VV,FF,'MinSize',4,'Force',true); + +end diff --git a/matlab/external/gptoolbox/mesh/harmonic.m b/matlab/external/gptoolbox/mesh/harmonic.m new file mode 100644 index 0000000..14a8a82 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/harmonic.m @@ -0,0 +1,4 @@ +% See kharmonic.m +% +% `harmonic` was stolen from gptoolbox by matlab's builtin double.harmonic in +% R2014a. diff --git a/matlab/external/gptoolbox/mesh/hausdorff.m b/matlab/external/gptoolbox/mesh/hausdorff.m new file mode 100644 index 0000000..4be5007 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/hausdorff.m @@ -0,0 +1,30 @@ +function [d,pair] = hausdorff(VA,FA,VB,FB) + % HAUSDORFF compute the Hausdorff distance between mesh (VA,FA) and mesh + % (VB,FB). This is the + % + % d(A,B) = max ( max min d(a,b) , max min d(b,a) ) + % a∈A b∈B b∈B a∈A + % + % Inputs: + % VA #VA by 3 list of vertex positions + % FA #FA by 3 list of face indices into VA + % VB #VB by 3 list of vertex positions + % FB #FB by 3 list of face indices into VB + % Outputs: + % d hausdorff distance + % pair 2 by 3 list of "determiner points" so that pair(1,:) is from A and + % pair(2,:) is from B + [sqr_DBA,~,CBA] = point_mesh_squared_distance(VB,VA,FA); + [max_sqrDBA,ind] = max(sqr_DBA); + max_CBA = [CBA(ind,:);VB(ind,:)]; + [sqr_DAB,~,CAB] = point_mesh_squared_distance(VA,VB,FB); + [max_sqrDAB,ind] = max(sqr_DAB); + max_CAB = [VA(ind,:);CAB(ind,:)]; + if max_sqrDBA > max_sqrDAB + d = sqrt(max_sqrDBA); + pair = max_CBA; + else + d = sqrt(max_sqrDAB); + pair = max_CAB; + end +end diff --git a/matlab/external/gptoolbox/mesh/hds.m b/matlab/external/gptoolbox/mesh/hds.m new file mode 100644 index 0000000..f9122e5 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/hds.m @@ -0,0 +1,128 @@ +% Halfedge datastructure from the list of triangles +% mesh is assumed to be orientable, and triangle vertices enumerated +% consistently counter-clockwise about a consistently chosen normal direction, +% i.e, if two triangles share the edge (i1,i2), the order of i1 and i2 in +% the vertex list is (i1,i2) for one triangle and the opposite for the +% other. +% +% Halfege = edge + orientation; by convention, associated with the face +% for which traversal from tail to tip agrees with the order of vertices +% in the face list. +% +% All connectivity information is represented conceptually by +% relationship between halfedges, and these are used as handles for +% vertices and faces; i.e., to refer to a vertex v we use one of the +% halfedges such that tip(he) = v, same for faces +% +% for each halfedge, we support the following const-time operations: +% -- next halfedge around assoc. face +% -- prev halfedge around assoc. face +% -- opposite halfedge (i.e., the other halfedge for the same edge) +% -- tail and tip vertices +% -- associated face +% +%prev(he1)\ he2face(he1) / +% \ he1 / next(he1) +% tail(he1)*---------------->* tip(he1) +% <---------------- +% / opp(he1) \ +% +% border edges have special halfedges on one side, which do not have +% the associated face. +% +% this file implements the halfedge data structure for triangle meshes +% only. +% + +function mesh = hds(F,nlayers) +% input: nf x 3 matrix of indices of vertices of mesh triangles +% fields of the output struct (and corresponding MCGL fields) +% nhe number of halfedges ne +% tail tail vertex of the halfedge EO +% tip tip vertex of the halfedge ED +% opp opposite halfedge ET +% he2face face corresp. to the halfedge EF +% next next halfedge around a face EN +% prev prev halfedge around a face EP +% -- VE can be done, for now do not need +% face2he FE +% -- nb (# boundary loops) +% -- BFS (size of each loop) +% -- IBF (bool flags for boundary faces) +% -- IBV (bool flags for boundary vert) +% bndhe array of indices of border -- +% halfedges, in no particular order +% nfaces number of faces -- +% nvert number og vertices +% layers cell array of nlayers (see getlayers) + +nf = size(F,2); % number of faces +mesh.nfaces = nf; +mesh.F = F; +mesh.nhe = 3*nf; % number of nonborder halfedges +mesh.face2he = [1:3:3*nf]; % first halfedge of each face +mesh.nvert = max(F(:)); + +% **** initialize all easy-to-do maps for nonborder halfedges **** +mesh.he2face = [repmat( 1:nf,1,3)]; % halfedge -> face table +mesh.prev = [(1:nf)+2*nf,(1:nf) ,(1:nf)+nf]; +mesh.next = [(1:nf)+nf ,(1:nf)+2*nf,(1:nf)]; +mesh.tail = [ F(1,:) F(2,:) F(3,:)]; +mesh.tip = [ F(2,:) F(3,:) F(1,:)]; + +% **** now create the adjacency matrix and figure out the borders *** +he_indices = 1:mesh.nhe; +% he(i,j) = 1 if the (interior) halfedge exists +he_tag = sparse( mesh.tail, mesh.tip, ones(1,mesh.nhe)); +% find halfedges on boundary edges +[tip_b,tail_b,v_b] = find( he_tag - he_tag' == 1); +nbhe = size(tip_b,1); + +% **** add border halfedges to easy-to-do maps +% add border halfedges (opposite the ones we've found) +% to tail and tip functions +% their faces are set to zero +mesh.tail = [mesh.tail tail_b']; +mesh.tip = [mesh.tip tip_b']; +mesh.he2face = [mesh.he2face, zeros(1,nbhe)]; +bhe_indices = (mesh.nhe+1):mesh.nhe+nbhe; +mesh.nhe = mesh.nhe+nbhe; +mesh.bndhe = bhe_indices; + + +% prev and next for border halfedges (which do not have faces) +% are a bit trickier: need to find the next/prev border halfedge +% along the boundary +% map tip -> border he index +tip2bhe = sortrows([ tip_b,bhe_indices'],1); +% map tail -> border he index +tail2bhe = sortrows([ tail_b,bhe_indices'],1); +% glue together, for i-th row, tip(blink(i,1)) = tail(blink(i,2)) +blink = [tip2bhe(:,2), tail2bhe(:,2)]; +next_b = sortrows( blink , 1); next_b = next_b(:,2); +prev_b = sortrows( blink , 2); prev_b = prev_b(:,1); +mesh.next = [mesh.next next_b']; +mesh.prev = [mesh.prev prev_b']; + +% **** now build the opposite halfedge map +% he(i,j) = index of halfedge (i,j) +he = sparse( mesh.tail, mesh.tip, [he_indices bhe_indices]); +% after transpose adjmat(i,j) = index of halfedge (j,i) +mesh.adj = he'; +% find creates triple representations of matrices +[he_i he_j he_v ] = find(he); +[adj_i adj_j adj_v] = find(mesh.adj); +% after sorting, the first two columns of he and adjt are identical +% and correspond to tails/tips of edges and the third column is the +% index of the halfedge/opposite halfedge +het = sortrows( [he_i he_j he_v], [1,2]); +adjt = sortrows( [adj_i adj_j adj_v], [1,2]); +% stitch together to create halfedge -> opposite map +% sort on the first row +mesh.opp = sortrows( [het(:,3), adjt(:,3)],1); +mesh.opp = mesh.opp(:,2); +% +% collect vertices and halfedges for layers (1 = boundary, 2 = +% 1 edge away from the boundary etc, see getlayers +[mesh.layers,mesh.interior,mesh.layershe] = getlayers(mesh,nlayers); +end \ No newline at end of file diff --git a/matlab/external/gptoolbox/mesh/heat_geodesic.m b/matlab/external/gptoolbox/mesh/heat_geodesic.m new file mode 100644 index 0000000..43f9cc7 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/heat_geodesic.m @@ -0,0 +1,240 @@ +function [D,u,X,div_X,phi,pre,B,t] = heat_geodesic(varargin) + % HEAT_GEODESIC geodesic distance approximation following the method of + % "Geodesics in Heat" [Krane et al. 2013] D from all points V in the domain + % (V,F) to a source point/set of points, gamma. The method is motivated by + % heat using a time parameter t to guide the heat diffusion. + % + % D = heat_geodesic(V,F,gamma,t) + % [D,u,X,div_X,phi,pre] = heat_geodesic(V,F,gamma,t,'ParamName',ParamValue) + % + % Inputs: + % V #V by 3 set of vertex positions + % F #F by 3 set of face indices + % or + % #T by 4 set of tetrahedra indices + % gamma #gamma list of vertex indices of source points + % t time parameter + % Optional: + % 'BoundaryConditions' followed by one of the following strings + % {'robin'}: + % 'dirichlet' domain boundaries set to 0 when computing heat + % diffusion + % 'neumann' heat diffusion solved with implicit neumann conditions + % 'robin' Uniform average of neumann and Dirichlet solutions + % 'Precomputation' Followed by pre struct as returned by this function + % 'Legacy' followed by bool telling whether to use Alec's legacy + % implmentation. In particular this is useful because the original + % paper is unclear how the boundary of the domain should be handle with + % respect to the seed locations (gamma). What if they overlap? What + % should be the boundary conditions for the final poisson solve? + % Outputs: + % D #V list of geodesic distances from vertices to gamma + % u #V list of results of heat diffusion step + % X #F by 3 list of reversed normalized gradients of u + % div_X #V list od divergence of X + % phi #V list of solution to final poisson equation solve + % + D=[]; + % Note: This is Alec's previous implmentation. He is still convinced that + % this is more exact/correct despite not what's written in the article (and + % implying that refactoring is necessary). + legacy = false; + + % mandatory input + V = varargin{1}; + F = varargin{2}; + + % number of domain vertices + n = size(V,1); + % simplex size + ss = size(F,2); + gamma = varargin{3}; + if nargin>=4 && ~isempty(varargin{4}) + t = varargin{4}; + else + switch ss + case 3 + % Section 3.1.1 + AM = sum(doublearea(V,F))/2; + sF = size(F,1); + c = 5; + t = c * AM / sF; + %t = 20*mean(doublearea(V,F)); + case 4 + AM = sum(volume(V,F)); + sF = size(F,1); + c = 1e3; + t = c * AM / sF; + %t = 20*mean(volume(V,F)); + end + end + + % option parameter default values + bc_type = 'robin'; + pre = []; + % precomputation for Dirichlet solve + pre.D = []; + % precomputation for Neumann solve + pre.N = []; + % precomputation for Poisson solve + pre.poisson = []; + u = []; + + ii = 5; + while(ii <= nargin) + switch varargin{ii} + case 'BoundaryConditions' + ii = ii + 1; + assert(ii<=nargin); + bc_type = varargin{ii}; + case 'Precomputation' + ii = ii + 1; + assert(ii<=nargin); + % skip empty input + if ~isempty(varargin{ii}) + pre = varargin{ii}; + end + case 'Legacy' + ii = ii + 1; + assert(ii<=nargin); + legacy = varargin{ii}; + case 'u' + ii = ii + 1; + assert(ii<=nargin); + u = varargin{ii}; + otherwise + error(['Unsupported parameter: ' varargin{ii}]); + end + ii = ii + 1; + end + + % Algorithm 1 in Section 3: + % Integrate the heat flow ?? = ??u for time t + % Evaluate the vector field X = -???u/|???u| + % Solve the Poisson equation ???? = ??????X + + + % Integrate the heat flow: "We discretize the heat equation from step I of + % Algorithm 1 using a single backward Euler step" + + + % "where ???????? is one third the area of all triangles incident on vertex ... + % where ???? ??? R|????|??|????| is a diagonal matrix containing the vertex areas" + L = cotmatrix(V,F); + M = massmatrix(V,F,'barycentric'); + + % "... with initial conditions u0 = ??(x)" + % "Note that a Dirac delta appears as a literal one in this system since we + % are effectively working with integrated quantities" + u0 = zeros(n,1); + u0(gamma) = 1; + + Q = M - t*L; + B = M*u0; + + if isempty(u) + if strcmp(bc_type,'dirichlet') || strcmp(bc_type,'robin') + % get outline ("boundary") of mesh + switch ss + case 3 + out = unique(reshape(outline(F),[],1)); + case 4 + out = unique(boundary_faces(F)); + end + + if legacy + % remove any gamma from outline + out = setdiff(out(:),gamma(:)); + % find all boundary vertices and append to gamma + b = [gamma(:); out]; + % "zero Dirichlet conditions" + bc = [ones(numel(gamma),1); zeros(numel(b)-numel(gamma),1)]; + [uD,pre.D] = min_quad_with_fixed(Q,B,b,bc,[],[],pre.D); + else + b = out; + % Q: How should we deal with gamma ??? out ? + % This gives *reasonable* results, but doesn't look right for fixing + % entire boundary. Probably more because of the lack of correct boundary + % conditions for the final poisson solve. + bc = -1*ismember(out,gamma); + %assert(~any(ismember(gamma,out))); + [uD,pre.D] = min_quad_with_fixed(Q,B,b,bc,[],[],pre.D); + end + end + if strcmp(bc_type,'neumann') || strcmp(bc_type,'robin') + % See Figure 9, pretty sure these are implicit ???x/???n = 0 neumann + % conditions, though it is not stated in the text. At best, "Neumann + % conditions prevent heat from flowing out of the domain..." + if legacy + b = gamma(:); + bc = ones(numel(gamma),1); + [uN,pre.N] = min_quad_with_fixed(Q,B,b,bc,[],[],pre.N); + else + [uN,pre.N] = min_quad_with_fixed(Q,B,[],[],[],[],pre.N); + end + end + + if strcmp(bc_type,'natural') + K = keenan(V,F); + Q = M - t*K; + B = M*u0; + G = grad(V,F); + switch size(F,2) + case 4 + vol = volume(V,F); + case 3 + vol = doublearea(V,F); + end + vol = vol/sum(vol); + % kill off affine functions + A = [ + sum(M)/sum(M(:)); ... + kron(speye(size(V,2)),vol)'*G]; + uT = min_quad_with_fixed(Q,B,[],[],A,[0;zeros(size(V,2),1)]); + end + + switch bc_type + case 'dirichlet' + u = uD; + case 'neumann' + u = uN; + case 'robin' + % "We advocate the use of the Robin boundary conditions obtained by taking + % the mean of the Neumann solution uN and the Dirichlet solution uD, i.e., + % u = 0.5*(uN + uD)" + u = 0.5*(uN+uD); + case 'natural' + u = uT; + otherwise + error(['Unsupported BoundaryCondtions value: ' bc_type]); + end + end + + % Evaluate the vector field X + G = grad(V,F); + Div = div(V,F); + grad_u = reshape(G*u,size(F,1),size(V,2)); + grad_u_norm = sqrt(sum(grad_u.^2,2)); + % normalize grad_u + normalized_grad_u = bsxfun(@rdivide,grad_u,grad_u_norm); + % correct any zero-norm gradients + normalized_grad_u(grad_u_norm == 0,:) = 0; + % reverse direction + X = -normalized_grad_u; + + % Solve the Poisson equation + % divergence of X + div_X = Div*X(:); + if legacy + [phi,pre.poisson] = min_quad_with_fixed( ... + -L,div_X,gamma,zeros(numel(gamma),1),[],[],pre.poisson); + else + [phi,pre.poisson] = ... + min_quad_with_fixed(-L,div_X,[],[],[],[],pre.poisson); + end + D = phi; + % "Note that ???? is unique only up to an additive constant and should be + % shifted such that the smallest distance value is zero." + D = D - min(D(:)); + +end diff --git a/matlab/external/gptoolbox/mesh/heat_map.m b/matlab/external/gptoolbox/mesh/heat_map.m new file mode 100644 index 0000000..e5e3b8a --- /dev/null +++ b/matlab/external/gptoolbox/mesh/heat_map.m @@ -0,0 +1,101 @@ +function [M,C] = heat_map(varargin) + % HEAT_MAP create a colormap defined from neg, zero, pos, too_pos fading + % respectively from blue, white, red and yellow + % + % [M,C] = heat_map() + % [M,C] = heat_map(s) + % [M,C] = heat_map(s,neg,zero,pos,too_pos) + % + % Inputs (optional): + % s number of samples, {128} + % neg negative value, {-1} + % zero zero value, {0} + % pos positive value, {1} + % too_pos too positive value, {2} + % Outputs: + % M s by 3 list of colormap RGB values between 0 and 1 + % C color axes values: [neg too_pos] + % + % Example: + % % build heat map + % [M,C] = heat_map(); + % % set colormap in current figure + % colormap(M); + % % set color axis in current figure + % caxis(C); + % + % See also: colormap + % + + % set default input values + s = 128; + neg = -1; + zero = 0; + pos = 1; + too_pos = 2; + + % set input if given + if nargin >= 1 + s = varargin{1}; + end + if nargin >= 2 + neg = varargin{2}; + end + if nargin >= 3 + zero = varargin{3}; + end + if nargin >= 4 + pos = varargin{4}; + end + if nargin >= 5 + too_pos = varargin{5}; + end + if nargin >= 6 + error('Too many inputs'); + end + + assert(neg <= zero); + assert(zero <= pos); + assert(pos <= too_pos); + assert(neg < too_pos); + + % range of remaining values + r = too_pos - neg; + % steps per interval + I = zeros(3,1); + % remaining steps + rem = s; + I(1) = round(((zero-neg)/r)*rem); + rem = rem - I(1); + r = too_pos - zero; + I(2) = round(((pos-zero)/r)*rem); + rem = rem - I(2); + I(3) = rem; + + assert(sum(I) == s); + + NEG = [0 0 1]; + ZERO = [1 1 1]; + POS = [1 0 0]; + TOO_POS = [1 1 0]; + + neg_zero = ... + repmat(linspace(1,0,I(1)+1)',1,3).*repmat( NEG,I(1)+1,1) + ... + repmat(linspace(0,1,I(1)+1)',1,3).*repmat( ZERO,I(1)+1,1); + zero_pos = ... + repmat(linspace(1,0,I(2)+1)',1,3).*repmat( ZERO,I(2)+1,1) + ... + repmat(linspace(0,1,I(2)+1)',1,3).*repmat( POS,I(2)+1,1); + pos_too_pos = ... + repmat(linspace(1,0,I(3))',1,3).*repmat( POS,I(3),1) + ... + repmat(linspace(0,1,I(3))',1,3).*repmat(TOO_POS,I(3),1); + + M = [ ... + neg_zero(1:(end-1),:); ... + zero_pos(1:(end-1),:); ... + pos_too_pos(1:end,:)]; + + assert(size(M,1) == s); + + C = [neg too_pos]; + +end diff --git a/matlab/external/gptoolbox/mesh/icp.m b/matlab/external/gptoolbox/mesh/icp.m new file mode 100644 index 0000000..c24b7e1 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/icp.m @@ -0,0 +1,134 @@ +function [R,t,BRt,e,KDTA,KDTB] = icp(A,B,varargin) + % ICP Find a rigid transformation (R,t) that registers point set B to point + % set A using iterative closest point (icp). + % + % [R,t] = icp(A,B,varargin) + % [R,t,BRt,e,KDTA,KDTB] = icp(A,B,varargin) + % + % Inputs: + % A #A by dim list of points + % B #B by dim list of points + % Optional: + % 'MaxIter' followed by maximum number of iterations {inf} + % 'MaxRNorm' followed by minimum norm on diff entries of R {1e-5} + % 'MaxTNorm' followed by minimum norm on diff entries of t {1e-5} + % 'MaxSamples' followed by number of random samples to use from each + % point set {inf --> #A,#B} + % 'KDTreeA' followed by kdtree on A (see output) + % 'KDTreeB' followed by kdtree on B (see output) + % 'R0' followed by dim by dim initial rotation matrix + % 't0' followed by 1 by dim initial rotation matrix + % 'Quiet' followed by whether to be quite {false} + % Outputs: + % R dim by dim rotation matrix + % t 1 by dim translation + % BRt #B by dim list of deformed points in B, BRt = bsxfun(@plus,B*R,t) + % e ICP energy + % KDTA kdtree around A (see knnsearch) + % KDTB kdtree around B + % + + % default values + max_iter = 100; + min_R_norm = 1e-5; + min_t_norm = 1e-5; + max_samples = inf; + KDTA = []; + KDTB = []; + tsurf_t = []; + R = []; + t = []; + quiet = false; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'MaxIter','MinRNorm','MinTNorm','MaxSamples','tsurfHandle','KDTreeA', ... + 'KDTreeB','R0','t0','Quiet' ... + }, ... + {'max_iter','min_R_norm','min_t_norm','max_samples','tsurf_t','KDTA', ... + 'KDTB','R','t','quiet' ... + }); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + max_samples = min([max_samples;size(A,1);size(B,1)]); + + dim = size(A,2); + bbd = norm(max([A;B])-min([A;B])); + + if isempty(R) + R = eye(dim); + end + if isempty(t) + t = zeros(1,dim); + end + BRt = bsxfun(@plus,B*R,t); + % Pre-build KDtree search data structures + if isempty(KDTA) + KDTA = createns(A,'nsmethod','kdtree'); + end + if isempty(KDTB) + KDTB = createns(B,'nsmethod','kdtree'); + end + + IA = 1:size(A,1); + IB = 1:size(B,1); + + iter = 1; + while true + prev_R = R; + prev_t = t; + + if ~isinf(max_samples) + IA = randperm(size(A,1)); + IA = IA(1:max_samples); + IB = randperm(size(A,1)); + IB = IB(1:max_samples); + end + + KAB = knnsearch(KDTA,BRt(IB,:),'K',1); + KBA = knnsearch(KDTB,bsxfun(@minus,A(IA,:),t)*R','K',1); + + [R,t] = fit_rigid([A(KAB,:);A(IA,:)],[B(IB,:);B(KBA,:)]); + % This builtin is slower... + %[~,~,T] = procrustes([A(KAB,:);A(IA,:)],[B(IB,:);B(KBA,:)], ... + % 'Scaling',false,'Reflection',false); + %R = T.T; + %t = T.c; + BRt = bsxfun(@plus,B*R,t); + if iter >1 && norm(R-prev_R) max_iter + if ~quiet + warning('Max iterations (%d) exceeded without convergence',max_iter); + end + break; + end + end + + if nargout >= 4 + %KAB = knnsearch(KDTA,BRt(IB,:),'K',1); + %KBA = knnsearch(KDTB,bsxfun(@minus,A(IA,:),t)*R','K',1); + e = sum(sum(([A(KAB,:);A(IA,:)]-[BRt(IB,:);BRt(KBA,:)]).^2,2)); + end + +end diff --git a/matlab/external/gptoolbox/mesh/in_element.m b/matlab/external/gptoolbox/mesh/in_element.m new file mode 100644 index 0000000..766285b --- /dev/null +++ b/matlab/external/gptoolbox/mesh/in_element.m @@ -0,0 +1,416 @@ +function [I,B1,B2,B3] = in_element(V,F,P,varargin) + % IN_ELEMENT test for each p in P whether it lies inside each f in F defined + % over V. + % + % I = in_element(V,F,P) + % [I,B1,B2,B3] = in_element(V,F,P,'ParameterName',ParameterValue,...) + % + % Inputs: + % V #V by dim list of vertex positions + % F #F by dim+1 list of element indices + % P #P by dim list of query positions + % Optional: + % 'Method' followed by one of the following {'knn'}: + % 'brute-force' no acceleration O(#P * #F) + % 'edge-walk' walk along edges ~O(#P * sqrt(#F)) Starting with a random + % barycenter step along the edges that intersect with the ray toward + % the query point. If a boundary is reached then search along all + % boundary edges and jump to farthest hit. **dim=2 only** + % 'knn' use knnsearch to find closest element barycenters + % 'spatial-hash' spatial hash on regular grid ~O(#P * sqrt(#F)) **dim=2 + % only** + % Outputs: + % I #P by #F matrix of bools + % B1 #P by #F list of barycentric coordinates + % B2 #P by #F list of barycentric coordinates + % B3 #P by #F list of barycentric coordinates + % + % Example: + % P = bsxfun(@plus,min(V),bsxfun(@times,rand(100,2),max(V)-min(V))); + % [I,B1,B2,B3] = in_element(V,F,P); + % % Only keep first + % [mI,J] = max(I,[],2); + % I = sparse(1:size(I,1),J,mI,size(I,1),size(I,2)); + % % Mask barycentric coordinates + % B1 = B1.*I; + % B2 = B2.*I; + % B3 = B3.*I; + % Q = B1*V(F(:,1),:) + B2*V(F(:,2),:) + B3*V(F(:,3),:); + % Q = Q(any(I,2),:); + % tsurf(F,V); + % hold on; + % plot(Q(:,1),Q(:,2),'or','LineWidth',6); + % plot(P(:,1),P(:,2),'ob','LineWidth',2); + % hold off; + % + + + function [I] = in_element_brute_force(V,F,P) + dim = size(V,2); + assert(dim+1 == size(F,2)); + + % number of elements + m = size(F,1); + % number of query points + np = size(P,1); + + switch dim + case 3 + T = F; + % tet face ares + vol = abs(volume(V,T)); + allF = [ ... + T(:,2) T(:,4) T(:,3); ... + T(:,1) T(:,3) T(:,4); ... + T(:,1) T(:,4) T(:,2); ... + T(:,1) T(:,2) T(:,3); ... + ]; + % List of tets for each face f of each tet t for each point p + TP = cat(2, ... + repmat(allF,[1 1 np]), ... + permute(repmat(size(V,1)+(1:np),m*4,1),[1 3 2])); + TP = reshape(permute(TP,[1 3 2]),m*4*np,dim+1); + Pvol = abs(volume([V;P],TP)); + % Pvol(t,f,p) --> volume of tet t, face f with point p + Pvol = reshape(Pvol,[size(T,1) dim+1 np]); + % sumvol(p,t) --> sum of volumes of tets made with faces of t and p + sumvol = permute(sum(Pvol,2),[3 1 2]); + I = sparse(abs(bsxfun(@minus,sumvol,vol')) < sqrt(eps)); + case 2 + % triangle side lengths + l = [ ... + sqrt(sum((V(F(:,2),:)-V(F(:,3),:)).^2,2)) ... + sqrt(sum((V(F(:,3),:)-V(F(:,1),:)).^2,2)) ... + sqrt(sum((V(F(:,1),:)-V(F(:,2),:)).^2,2)) ... + ]; + + B = zeros([np m dim+1]); + for ii = 1:(dim+1) + jj = mod(ii+1,dim+1)+1; + kk = mod(ii,dim+1)+1; + ljj = pdist2(P,V(F(:,jj),:)); + lkk = pdist2(P,V(F(:,kk),:)); + + % semiperimeters + s = bsxfun(@plus,l(:,ii)',ljj + lkk)*0.5; + % Heron's formula for area + B(:,:,ii) = 2*sqrt(s.*(bsxfun(@minus,s,l(:,ii)').*(s-ljj).*(s-lkk))); + end + % sum of barycentric coordinates + sumA = sum(B,3); + % area of element + dblA = doublearea(V,F); + %% check whether sum is more than true are + %I = ~bsxfun(@gt,sumA,dblA'); + I = sparse((bsxfun(@minus,sumA,dblA')) < sqrt(eps)); + end + %B1 = sparse(B(:,:,1)); + %B2 = sparse(B(:,:,2)); + %B3 = sparse(B(:,:,3)); + end + + function I = in_element_hash_helper(V,F,P) + assert(size(F,2) == 3, ... + 'F must contain triangles for Method=''spatial-hash'''); + num_bins = ceil(sqrt(size(F,1))); + bin_x = ceil(sqrt(num_bins)); + bin_y = ceil(num_bins/bin_x); + num_bins = bin_x*bin_y; + % spatial hash + function VH = hash(V,MN,MX,bin_x,bin_y) + [~,X] = histc(V(:,1),linspace(MN(1),MX(1),bin_x)); + [~,Y] = histc(V(:,2),linspace(MN(2),MX(2),bin_y)); + VH = sub2ind([bin_x bin_y],X,Y); + end + %% http://stackoverflow.com/a/5929567/148668 + %primes = [ 40960001, 59969537 45212177]; + %hash = @(X) mod( ... + % bitxor( int32(V(:,1)*primes(1)), int32(V(:,2)*primes(2))), ... + % num_bins); + MN = min([V;P]); + MX = max([V;P]); + VH = hash(V,MN,MX,bin_x,bin_y); + PH = hash(P,MN,MX,bin_x,bin_y); + % This is wrong for triangles that span more hash cells than their vertices: + % any time a triangle lands on the corner.... + FH = sparse(repmat(1:size(F,1),1,size(F,2))',VH(F(:)),1,size(F,1),num_bins)~=0; + [~,FHI,FHJ] = find(FH); + [FHJX,FHJY] = ind2sub([bin_x,bin_y],FHJ); + % This assumes that #P >> #F + I = sparse(size(P,1),size(F,1)); + for h = 1:num_bins + %Vh = V(VH==h,:); + IFh = FH(:,h); + if any(IFh) + IPh = PH==h; + Ph = P(IPh,:); + if any(IPh) + Fh = F(IFh,:); + Ih = in_element_brute_force(V,Fh,Ph); + I(IPh,IFh) = Ih; + end + end + end + end + + % default values + method = 'knn'; + % Map of parameter names to variable names + params_to_variables = containers.Map( {'Method'}, {'method'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this + % workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + switch method + case 'brute-force' + I = in_element_brute_force(V,F,P); + case 'spatial-hash' + % Try 45?? spatial grid, too (reduce corner cases) + switch size(V,2) + case 2 + R = [cos(pi/4) -sin(pi/4);sin(pi/4) cos(pi/4)]; + case 3 + R = [cos(pi/4) -sin(pi/4) 0 ;sin(pi/4) cos(pi/4) 0; 0 0 1]; + end + I = in_element_hash_helper(V,F,P) | in_element_hash_helper(V*R,F,P*R); + + % Find any obviously incorrect values: not inside but winding number says + % inside. Could still missing something if mesh overlaps itself. + NI = ~any(I,2); + switch size(F,2) + case 3 + O = outline(F); + case 4 + O = boundary_faces(F); + end + WI = abs(winding_number(V,O,P(NI,:))/(2*pi))>0.5; + WI = sparse(find(NI),1,WI,size(P,1),1)~=0; + % redo any that currently are not in any but winding number says are inside + RI = NI & WI; + I(RI,:) = in_element_brute_force(V,F,P(RI,:)); + + case 'edge-walk' + + assert(size(F,2) == 3,'F must contain triangles for Method=''edge-walk'''); + % List of all "half"-edges: 3*#F by 2 + allE = [F(:,[2 3]); F(:,[3 1]); F(:,[1 2])]; + % Sort each row + sortallE = sort(allE,2); + % IC(i) tells us where to find sortallE(i,:) in uE: + % so that sortallE(i,:) = uE(IC(i),:) + [uE,~,IC] = unique(sortallE,'rows'); + % uE2F(e,f) = i means face f's ith edge is unique edge e + uE2F = sparse(IC(:),repmat(1:size(F,1),1,3)',reshape(repmat(1:3,size(F,1),1),[],1)); + % uE2F(e,f) = 1 means face f is adjacent to unique edge e + uE2F1 = sparse(IC(:),repmat(1:size(F,1),1,3)',1); + % Face-face Adjacency matrix + A = uE2F1'*uE2F; + % A(f,g) = i means face f's ith edge is shared with g + A = A-diag(diag(A)); + + I = sparse(size(P,1),size(F,1)); + B1 = sparse(size(I,1),size(I,2)); + B2 = sparse(size(I,1),size(I,2)); + B3 = sparse(size(I,1),size(I,2)); + + [~,is_b] = on_boundary(F); + EF = repmat(1:size(F,1),1,3)'; + EFI = reshape(repmat(1:3,size(F,1),1),[],1); + O = allE(is_b(:),:); + OF = EF(is_b(:)); + OFI = EFI(is_b(:)); + + % initial closest vertex + BC = barycenter(V,F); + % Centroid + f_init = snap_points(mean(V),BC); + %% Random initial guess + %f_init = ceil(rand(1,1)*size(F,1)); + for p = 1:size(P,1) + % current closest face, barycenter + f = f_init; + q = BC(f_init,:); + % incoming edge + e_in = []; + while true + % current point + % edges to test + E = ... %mod(bsxfun(@plus,setdiff([1;2;3],e_in),-1+(1:2)),3)+1; + [2 3;3 1;1 2]; + out = ... + lineSegmentIntersect([q P(p,:)],[V(F(f,E(:,1)),:) V(F(f,E(:,2)),:)]); + out.intAdjacencyMatrix(e_in) = false; + e_out = find(out.intAdjacencyMatrix); + if isempty(e_out) + % no hits so we're in the element + I(p,f) = 1; + B = barycentric_coordinates( ... + P(p,:),V(F(f,1),:),V(F(f,2),:),V(F(f,3),:)); + B1(p,f) = B(1); B2(p,f) = B(2); B3(p,f) = B(3); + else + f_prev = f; + if numel(e_out) > 1 + % Take farthests + [sd,si] = sort(out.intNormalizedDistance1To2(e_out),'descend'); + e_out = e_out(si(1)); + % TODO: recurse on all in f + end + f = find(A(:,f_prev)==e_out); + % Todo if + if isempty(f) + % no neighbors so we're shooting outside. + out = ... + lineSegmentIntersect([q P(p,:)],[V(O(:,1),:) V(O(:,2),:)]); + hits = find(out.intAdjacencyMatrix); + [sd,si] = sort(out.intNormalizedDistance1To2(hits),'descend'); + f = OF(hits(si(1))); + e_in = OFI(hits(si(1))); + if f==f_prev + error('Point is outside'); + end + else + if numel(f) > 1 + f = f(1); + warning('Ignoring non-manifold edge: might miss multiply inside.'); + % TODO: recurse on all in f + end + e_in = A(f_prev,f); + end + end + %tsurf(F,V); + %hold on; + %tsurf(F(f,:),V,'CData',-1); + %tsurf(F(f_prev,:),V,'CData',1); + %plot_edges([q;P(p,:)],[1 2],'r'); + %plot_edges(V,[F(f_prev,E(:,1));F(f_prev,E(:,2))]','b'); + %plot(P(p,1),P(p,2),'*'); + %plot_edges(V,[F(f_prev,E(e_out,1));F(f_prev,E(e_out,2))]', ... + % 'y','LineWidth',2); + %hold off; + %drawnow; + %input(''); + end + end + + return + case 'knn' + % assumes samples are all inside exactly one element + BC = barycenter(V,F); + I = sparse(size(P,1),size(F,1)); + B1 = sparse(size(P,1),size(F,1)); + B2 = sparse(size(P,1),size(F,1)); + B3 = sparse(size(P,1),size(F,1)); + B4 = sparse(size(P,1),size(F,1)); + % indices of points we haven't found yet + IP = 1:size(P,1); + + prev_k = 0; + k = 2; + while true + K = knnsearch(BC,P(IP,:),'K',k); + K = K(:,prev_k+1:end); + for ki = 1:size(K,2) + switch size(F,2) + case 3 + B = abs(barycentric_coordinates( ... + P(IP,:), ... + V(F(K(:,ki),1),:), ... + V(F(K(:,ki),2),:), ... + V(F(K(:,ki),3),:))); + case 4 + B = abs(barycentric_coordinates( ... + P(IP,:), ... + V(F(K(:,ki),1),:), ... + V(F(K(:,ki),2),:), ... + V(F(K(:,ki),3),:), ... + V(F(K(:,ki),4),:))); + end + found = abs(sum(B,2)-1) 1 + B1 = sparse(size(I,1),size(I,2)); + B2 = sparse(size(I,1),size(I,2)); + B3 = sparse(size(I,1),size(I,2)); + B4 = sparse(size(I,1),size(I,2)); + work_I = I; + while true + % Peel off a layer + [mIf,Jf] = max(work_I,[],2); + If = find(mIf); + Jf = Jf(If); + mIf = mIf(If); + if isempty(If) + break + end + work_I = work_I - sparse(If,Jf,mIf,size(work_I,1),size(work_I,2));; + Pf = P(If,:); + Ff = F(Jf,:); + switch size(Ff,2) + case 4 + Bf = barycentric_coordinates(Pf, ... + V(Ff(:,1),:),V(Ff(:,2),:),V(Ff(:,3),:),V(Ff(:,4),:)); + case 3 + Bf = barycentric_coordinates(Pf,V(Ff(:,1),:),V(Ff(:,2),:),V(Ff(:,3),:)); + end + B1(sub2ind(size(B1),If,Jf)) = Bf(:,1); + B2(sub2ind(size(B2),If,Jf)) = Bf(:,2); + B3(sub2ind(size(B3),If,Jf)) = Bf(:,3); + if size(Bf,2) >= 4 + B4(sub2ind(size(B3),If,Jf)) = Bf(:,4); + end + end + end + +end + + diff --git a/matlab/external/gptoolbox/mesh/in_elements.m b/matlab/external/gptoolbox/mesh/in_elements.m new file mode 100644 index 0000000..d6a95ce --- /dev/null +++ b/matlab/external/gptoolbox/mesh/in_elements.m @@ -0,0 +1,29 @@ +function [I,R,C] = in_elements(F,T) + % IN_ELEMENTS Check whether each facet in F truly apears as a facet of the + % at least one of the elements in T + % + % [I] = in_elements(F,T) + % [I,R,C] = in_elements(F,T) + % + % Inputs: + % F #F by dim list of facets + % T #T by dim+1 list of elements + % Outputs: + % I #F list of indicators whether facet is in element list + % R #F list revealing which *first* tet + % C #F list revealing where in *first* tet + % + + assert(size(F,2)+1 == size(T,2)); + + switch size(F,2) + case 2 + allF = [T(:,[2 3]);T(:,[3 1]);T(:,[1 2])]; + case 3 + allF = [T(:,[2 3 4]);T(:,[3 4 1]);T(:,[4 1 2]);T(:,[1 2 3])]; + end + [I,LOCB] = ismember(sort(F,2),sort(allF,2),'rows'); + R = mod(LOCB-1,size(T,1))+1; + C = floor((LOCB-1)/size(T,1))+1; + +end diff --git a/matlab/external/gptoolbox/mesh/in_mesh.m b/matlab/external/gptoolbox/mesh/in_mesh.m new file mode 100644 index 0000000..db0147c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/in_mesh.m @@ -0,0 +1,39 @@ +function [in,on,B,L] = in_mesh(V,F,Q) + % IN_MESH test whether a list of points are in a given mesh + % + % [in] = in_mesh(V,F,Q) + % [in,on,B,L] = in_mesh(V,F,Q) + % + % Inputs: + % V #V by dim list of vertex positions + % F #F by 3 list of face indices + % Q #Q by dim list of query points + % Outputs: + % in #Q list of flags revealing whether queries are in (V,F) + % on #Q list of flags revealing whether queries are on boundary of (V,F) + % B #B by 1 list of mesh outline edges + % L #loops+1 by 1 list of boundary loop start indices into B, the last + % entries is (by tradition) always the numel of B + 1 + % + % See inpolygon + % + + dim = size(V,2); + % only works in 2D + assert(dim == 2); + + % get ordered mesh outline + [B,L] = ordered_outline(F); + + % don't know how to handle holes / multiple components + assert(numel(L) == 2); + + % only have one loop + l = 1; + [in, on] = inpolygon( ... + Q(:,1), ... + Q(:,2), ... + V([B(L(l):(L(l+1)-1)) B(L(l))],1), ... + V([B(L(l):(L(l+1)-1)) B(L(l))],2)); + +end diff --git a/matlab/external/gptoolbox/mesh/inequality_constraints_from_graphs.m b/matlab/external/gptoolbox/mesh/inequality_constraints_from_graphs.m new file mode 100644 index 0000000..f9afe18 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/inequality_constraints_from_graphs.m @@ -0,0 +1,39 @@ +function [Aleq,ATleq] = inequality_constraints_from_graphs(F,A,AT) + % INEQUALITY_CONSTRAINTS_FROM_GRAPHS converts adjacency matrix graphs into + % linear inequality constraints + % + % [Aleq,ATleq] = inequality_constraints_from_graphs(F,A,AT) + % + % Inputs: + % F #triangles by 3 list of triangle indices + % A #handles cell of #n by #n + % monotonicity graph (sparse adjacency matrix) with A{k}(i,j) != + % 0 if we want that W(i,k) <= W(j,k), default is to use graph + % from harmonic coordinates + % AT #handles cell of #F by #F set of + % constraints on triangle (averages) + % Outputs: + % Aleq #nnz(A) by n list of inequality constraints coming from A + % ATleq #nnz(AT) by n list of inequality constraints coming from AT + % + % See also: monotonic_biharmonic + % + assert(~isempty(A)); + n = size(A,1); + + [AI,AJ,AV] = find(A); + nleq = size(AI,1); + Aleq = ... + sparse([1:nleq 1:nleq]',[AI;AJ],[ones(nleq,1);-ones(nleq,1)],nleq,n); + ATleq = []; + if nargin>=3 && ~isempty(AT) + [ATI,ATJ,ATV] = find(AT); + nleq = size(ATI,1); + ATleq = ... + sparse( ... + repmat(1:nleq,1,6)', ... + [F(ATI,1); F(ATI,2); F(ATI,3); F(ATJ,1); F(ATJ,2); F(ATJ,3);], ... + [repmat( ones(nleq,1)/3,3,1); repmat(-ones(nleq,1)/3,3,1);], ... + nleq, n); + end +end diff --git a/matlab/external/gptoolbox/mesh/inflate.m b/matlab/external/gptoolbox/mesh/inflate.m new file mode 100644 index 0000000..07fb532 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/inflate.m @@ -0,0 +1,131 @@ +function [VH] = inflate(varargin) + %INFLATE a planar 2D mesh into a 3D "pillow" with the original silhouette + % + % [VH] = inflate(V,F,'ParameterName',ParameterValue,...) + % + % Inputs: + % V #V by 2 list of mesh vertices + % F #F by 3 list of triangle indices into + % Optional: + % 'Method' followed by one of the following: {'BiXYThenBaran'} + % 'Baran' Follow "Notes on Inflating Curves" [Baran and Lehtinen 2009]. + % Leave X and Y coordinates as is and solve Δ(z^2) = f, that is solve + % Δw = f and set z = sqrt(w), + % 'BiXYHarmonic', solve Δ²XY = 0 with implicit neumann conditions and + % simultaneous solve Δz = f, + % 'BiXYThenBaran', solve Δ²XY = 0 with implicit neumann conditions, + % stop, recompute cotmatrix and solve z as in 'Baran', + % 'MixedFEM' solve Δ²XYZ = 0 with ∂XY/∂n = 0 and ∂Z/∂n = f, + % 'Repousse' follow "Repousse: Automatic Inflation of 2D Artwork" + % [Joshi and Carr 2008], that is solve Δ²XY = 0 with ∂XYZ/∂n = 0, but + % explicitly treat ΔZ|∂Ω = f/2 + % 'PuffFactor' followed by a scale value corresponding to different amount of + % "puffiness". See f value in 'Method' descriptions {f=-8} + % Outputs: + % VH #V by 3 list of new "height" field vertices, but note that depending + % on 'Method', XY values may be different than V + % + % See also: triangle, outline, get_pencil_curve, glue_reverse + % + + V = varargin{1}; + F = varargin{2}; + % get outline ("boundary") of mesh + out = unique(reshape(outline(F),[],1)); + no = numel(out); + + % default optional parameter values + method = 'BiXYThenBaran'; + f = -8; + + ii = 3; + while(ii <= nargin) + switch varargin{ii} + case 'Method' + ii = ii + 1; + assert(ii<=nargin); + method = varargin{ii}; + case 'PuffFactor' + ii = ii + 1; + assert(ii<=nargin); + f = varargin{ii}; + otherwise + error(['Unsupported parameter: ' varargin{ii}]); + end + ii = ii + 1; + end + + % mesh-independence scale + scale = 2/max((max(V)-min(V))); + % number of domain vertices + n = size(V,1); + L = cotmatrix(V,F); + M = massmatrix(V,F,'voronoi'); + + switch method + case 'Baran' + Z2 = min_quad_with_fixed(-L,f*sqrt(scale)*M*ones(n,1),out,zeros(no,1)); + VH = [V sqrt(Z2)]; + case 'BiXYHarmonic' + % solve poisson equation for Z-coord + Z = min_quad_with_fixed(-L,f*scale*M*ones(n,1),out,zeros(no,1)); + % solve bipoisson equation for XY-coords + VH = min_quad_with_fixed(L*(M\L),zeros(n,1),out,V(out,1:2)); + VH = [VH Z]; + case 'BiXYThenBaran' + % solve bipoisson equation for XY-coords + VH = min_quad_with_fixed(L*(M\L),zeros(n,1),out,V(out,1:2)); + % recompute cotmatrix using VH + L = cotmatrix(VH,F); + M = massmatrix(VH,F,'voronoi'); + %tsurf(F,VH) + %input('') + Z2 = min_quad_with_fixed(-L,f*sqrt(scale)*M*ones(n,1),out,zeros(no,1)); + VH = [VH sqrt(Z2)]; + case 'MixedFEM' + % "Mixed Finite Elements for Variational Surface Modeling" [Jacobson et al. + % 2010] + indices = 1:n; + Omega = indices(~ismember(indices,out)); + N0 = out(:)'; + all = [N0 Omega]; + bn = zeros(n,3); + bn(out,3) = 1/scale/-f; + bn = bn(all,:); + b0 = [V(N0,1:2) zeros(numel(N0),1)]; + flatten = false; + if flatten + A = L(Omega,all) * (M(all,all) \ L(all,Omega)); + %rhs_Dx = -L(all,N0)*b0 + bn; + %rhs = L(Omega,all) * (M(all,all) \ rhs_Dx); + %rhs = L(Omega,all) * (M(all,all) \ ... + % (-L(all,N0)*b0)) + L(Omega,all) * (M(all,all) \ bn); + rhs = ... + L(Omega,all) * (M(all,all) \ (-L(all,N0)*b0)) + ... + L(Omega,all) * (M(all,all) \ bn); + else + Z = sparse(n,n); + A = [-M( all,all) L( all,Omega); + L(Omega,all) Z(Omega,Omega)]; + rhs_Dx = -L(all,N0)*b0 + bn; + rhs_Dy = zeros(numel(Omega),size(rhs_Dx,2)); + rhs = [rhs_Dx;rhs_Dy]; + end + sol = A\rhs; + VH = [V(:,1:2) zeros(n,1)]; + VH(Omega,:) = sol((end-numel(Omega)+1):end,:); + case 'Repousse' + % "Repousse??: Automatic Inflation of 2D Artwork" [Joshi and Carr 2008] + Z = sparse(n,n); + % dirichlet on boundary and fixed laplacian on boundary + b = [out;n+out]; + bc = [[V(out,1:2) zeros(no,1)]; repmat([0,0,f/2*scale],no,1)]; + VH = min_quad_with_fixed([Z -L;-L M],zeros(2*n,1),b,bc); + % only keep positions + VH = VH(1:n,:); + otherwise + error(['Unsupported method: ' varargin{ii}]); + end + + +end diff --git a/matlab/external/gptoolbox/mesh/input_medit.m b/matlab/external/gptoolbox/mesh/input_medit.m new file mode 100644 index 0000000..2d4a245 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/input_medit.m @@ -0,0 +1,42 @@ +function varargout = input_medit(V,F,C) + % INPUT_MEDIT Display input mesh using medit, highlighting boundary + % edges and non-manifold edges + % + % C = input_medit(V,F,C) + % + % Inputs: + % V #V by 3 list of mesh positions + % F #F by 3 list of triangle indices + % Optional: + % C #C connected component IDs + % + + % Gather boundary and non-manifold edges + NME = nonmanifold_edges(F); + BE = outline(F); + BE = setdiff(BE,NME,'rows'); + E = [NME 1+0*NME(:,1); ... + BE 2+0*BE(:,1);]; + if ~exist('C') || isempty(C) + C = randcycle(connected_components(F)); + C = C(:); + % hack so that not all equal (medit doesn't like that) + if all(C==C(1)) + C(ceil(rand*size(C,1))) = C(1)+1; + end + end + if size(C,1)0; + [~,~,IF] = selfintersect(V,F(ND,:),'DetectOnly',true); + bad = false(size(F,1),1); + bad(ND) = full(00 + varargout{1} = C; + end +end diff --git a/matlab/external/gptoolbox/mesh/internalangles.m b/matlab/external/gptoolbox/mesh/internalangles.m new file mode 100644 index 0000000..f97807f --- /dev/null +++ b/matlab/external/gptoolbox/mesh/internalangles.m @@ -0,0 +1,23 @@ +function [ A ] = internalangles( V, F) +% INTERNALANGLES Compute internal angles per face (in degrees) +% +% A = internalangles(V,F) +% +% Inputs: +% V #V x 3 matrix of vertex coordinates +% F #F x 3 matrix of indices of triangle corners +% Output: +% A #F x 3 list of triples of triangle angles +% +i1 = F(:,1); i2 = F(:,2); i3 = F(:,3); + +s12 = normrow(V(i2,:) - V(i1,:)); +s13 = normrow(V(i3,:) - V(i1,:)); +s23 = normrow(V(i3,:) - V(i2,:)); + +l = [s23 s13 s12]; + +A = internalangles_intrinsic(l); + +end + diff --git a/matlab/external/gptoolbox/mesh/internalangles_intrinsic.m b/matlab/external/gptoolbox/mesh/internalangles_intrinsic.m new file mode 100644 index 0000000..109cbdf --- /dev/null +++ b/matlab/external/gptoolbox/mesh/internalangles_intrinsic.m @@ -0,0 +1,25 @@ +function [ A ] = internalangles_intrinsic(l) +% INTERNALANGLES_INTRINSIC Compute internal angles per face (in degrees) using +% edge lengths +% +% A = internalangles_intrinsic(l) +% +% Inputs: +% l #F x 3 matrix of edge lengths +% Output: +% A #F x 3 list of triples of triangle angles +% + +s23 = l(:,1); +s31 = l(:,2); +s12 = l(:,3); + +a23 = acos((s12.^2 + s31.^2 - s23.^2)./(2.*s12.*s31)); +a31 = acos((s23.^2 + s12.^2 - s31.^2)./(2.*s23.*s12)); +a12 = acos((s31.^2 + s23.^2 - s12.^2)./(2.*s31.*s23)); + +A = [a23 a31 a12]; + +end + + diff --git a/matlab/external/gptoolbox/mesh/intrinsic_delaunay_cotmatrix.m b/matlab/external/gptoolbox/mesh/intrinsic_delaunay_cotmatrix.m new file mode 100644 index 0000000..e6b204a --- /dev/null +++ b/matlab/external/gptoolbox/mesh/intrinsic_delaunay_cotmatrix.m @@ -0,0 +1,56 @@ +function [L,F] = intrinsic_delaunay_cotmatrix(V,F,varargin) + % INTRINSIC_DELAUNAY_COTMATRIX Construct the intrinsic Delaunay Laplacian, + % given a mesh (V,F) or (l,F) according to "A discrete Laplace-Beltrami + % operator for simplicial surfaces" [Bobenko & Springborn 2005] following "An + % Algorithm for the Construction of Intrinsic Delaunay Triangulations with + % Applications to Digital Geometry Processing" [Fisher et al. 2006] + % + % Inputs: + % V #V by dim list of vertex positions + % F #F by 3 list of triangle indices into V + % Optional: + % 'SideLengths' followed by a #F by 3 list of triangle side lengths + % corresponding to edges 23 31 12. + % Outputs: + % L #V by #V sparse Laplacian matrix + % F #F by 3 list of new intrinsic "triangle" indices, representing + % **combinatorially** flipped edges. This is not the "overlay graph" of + % [Fisher et al.]. + % + + % default values + l = []; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'SideLengths'}, {'l'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + if isempty(l) + l = edge_lengths(V,F); + end + + while true + D = is_delaunay([],F,'SideLengths',l); + if all(D(:)) + break; + end + allE = [F(:,[2 3]);F(:,[3 1]);F(:,[1 2])]; + NDE = allE(~D,:); + NDuE = unique(sort(NDE,2),'rows'); + [F,~,l] = flip_edges(F,NDuE,'AllowNonManifold',true,'SideLengths',l,'V',V); + end + + L = cotmatrix_intrinsic(l,F,size(V,1)); + +end diff --git a/matlab/external/gptoolbox/mesh/is_boundary_facet.m b/matlab/external/gptoolbox/mesh/is_boundary_facet.m new file mode 100644 index 0000000..3d292ce --- /dev/null +++ b/matlab/external/gptoolbox/mesh/is_boundary_facet.m @@ -0,0 +1,35 @@ +function B = is_boundary_facet(E,F) + % IS_BOUNDARY_FACET Determine for each edge E if it is a boundary edge in F + % for tets. Edges are now facets. + % + % B = is_boundary_facet(E,F) + % + % Inputs: + % E #E by element-size-1 list of facets + % F #F by element-size list of elements + % Outputs: + % B #E list bools. true iff unoriented facet occurs exactly once in F + % (non-manifold and non-existant edges will be false) + % + + switch size(F,2) + case 3 + allE = [F(:,[2 3]);F(:,[3 1]);F(:,[1 2])]; + %% Alternatively (slightly slower) + %O = outline(F); + %B = ismember(sort(E,2),sort(O,2),'rows'); + case 4 + allE = [ ... + F(:,2) F(:,4) F(:,3); ... + F(:,1) F(:,3) F(:,4); ... + F(:,1) F(:,4) F(:,2); ... + F(:,1) F(:,2) F(:,3); ... + ]; + end + % http://www.mathworks.com/matlabcentral/newsreader/view_thread/165556 + [~,~,EMAP]=unique(sort([E;allE],2),'rows'); + N = accumarray(EMAP,1); + % Look of occurances of 2: one for original and another for boundary + B = N(EMAP(1:size(E,1)))==2; + +end diff --git a/matlab/external/gptoolbox/mesh/is_delaunay.m b/matlab/external/gptoolbox/mesh/is_delaunay.m new file mode 100644 index 0000000..04ee958 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/is_delaunay.m @@ -0,0 +1,67 @@ +function [D,allE] = is_delaunay(V,F,varargin) + % IS_DELAUNAY Determine if each edge in F is intrinsically Delaunay. + % + % Inputs: + % V #V by dim list of vertex positions + % F #F by 3 list of triangles indices + % Optional: + % 'SideLengths' followed by: + % l #F by 3 list of side lengths corresponding to edges 23 31 12 + % 'Tol' followed by a tolerance + % 'BoundaryDefault' followed by whether boundary is considered delaunay + % {true} + % Outputs: + % D #F by 3 list of bools revealing whether edges corresponding 23 31 12 + % are locally delaunay. Boundary edges are by definition Delaunay. + % + % Known bugs: does not make sense for non-manifold edges + % + + % default values + l = []; + tol = 0; + boundary_default = true; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'SideLengths','Tol','BoundaryDefault'}, {'l','tol','boundary_default'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + if isempty(l) + l = edge_lengths(V,F); + end + nv = max(F(:)); + L = cotmatrix_intrinsic(l,F,nv); + + % [Fisher et al. 2007] + allE = [F(:,[2 3]);F(:,[3 1]);F(:,[1 2])]; + % Is this _really_ the same as checking if α_left + α_right >= Ï€ ? + D = full(reshape(L(sub2ind(size(L),allE(:,1),allE(:,2)))>=-abs(tol),size(F))); + + if boundary_default + [~,B] = on_boundary(F); + D(B) = true; + end + + %% Deal with non-manifold and boundary edges + %sortE = sort(allE,2); + %% Adjacency matrix for these "redirected" edges + %DA = sparse(sortE(:,1),sortE(:,2),1,nv,nv); + %% If edge occurs more than once it's non-manifold. Define that non-manifold + %% edges *are* delaunay (like boundary) + %D(DA>2) = true; + %% If edge only occurs once then it's a boundary. Define that boundary edges + %% *are* delaunay + %D(DA==1) = true; + +end diff --git a/matlab/external/gptoolbox/mesh/is_planar.m b/matlab/external/gptoolbox/mesh/is_planar.m new file mode 100644 index 0000000..9115385 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/is_planar.m @@ -0,0 +1,36 @@ +function [f,s] = is_planar(V,epsilon) + % IS_PLANAR Return whether the 3D mesh is planar + % + % [f,s] = is_planar(V) + % [f,s] = is_planar(V,epsilon) + % + % Inputs: + % V #V x 3 matrix of vertex coordinates + % epsilon optional parameter used as threshold for smallest eigen value of + % pca, {1e-10} + % Outputs: + % f flag whether mesh is planar + % s smallest principle component variance + % + % + + + if ~exist('epsilon','var') + epsilon = 1e-10; + end + + + if size(V,2) == 2 + f = true; + s = 0; + return; + end + + [c,l] = pcacov(V); + + s = min(l); + + + f = s < epsilon; + +end diff --git a/matlab/external/gptoolbox/mesh/is_vertex_nonmanifold.m b/matlab/external/gptoolbox/mesh/is_vertex_nonmanifold.m new file mode 100644 index 0000000..f6d9da6 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/is_vertex_nonmanifold.m @@ -0,0 +1,71 @@ +function N = is_vertex_nonmanifold(F) + % IS_VERTEX_NONMANIFOLD Determine if each vertex in a mesh with faces F is + % not manifold: incident faces form a single connected component with respect + % to shared edges. + % + % Inputs: + % F #F by 3 list of triangle indices + % Outputs: + % N #V list of bools whether vertices are not manifold + % + + function A = face_adjacency(F) + % all edges "both" directions + allE = [F(:,[2 3]);F(:,[3 1]);F(:,[2 1])]; + % index for each edge to unique edge + [E,~,IC] = unique(sort(allE,2),'rows'); + % FE(i,j) = 1 means that face j is incident upon edge i + % so all FE(:,j) == 1 are neighbors + FE = sparse( ... + IC(:), ... + repmat(1:size(F,1),3,1)', ... + reshape(repmat(1:3,size(F,1),1),3*size(F,1),1), ... + size(E,1), ... + size(F,1)); + % A(i,j) = 1 means face i and j share an edge + A = (FE'*FE)>0; + end + + n = max(F(:)); + m = size(F,1); + % This is supposedly memory inefficient, but the vectorization in matlab seems + % to make up for it even in the case of very large meshes m=2,000,000 + vectorized = true; + + if vectorized + V2F = sparse(F(:),repmat(1:m,1,3)',1,n,m); + A = face_adjacency(F); + [I,J] = find(V2F); + % UF(i,j) = 1, unique face-for-vertex i is copy of face j + UF = sparse((1:numel(J))',J,1,numel(J),m); + + % U(i,j) = 1, unique face-for-vertex i incident on unique face-for-vertex via + % single face +1 edge. Problem is that now faces for different vertices may + % talk to each other. + U = (UF*A*UF')>0; + UV = sparse((1:numel(J))',I,1,numel(J),n); + U = U & (UV*UV')>0; + % U(i,j) = 1 means unique face-for-vertex i comes from same vertex AND shares + % edge with face-for-vertex j + [~,C] = conncomp(U); + % V2C(i,j) = 1 means vertex i is in component j + V2C = sparse(I,C,1,n,max(C))>0; + N = sum(V2C,2)~=1; + else + N = zeros(n,1); + % need transpose for random access + F2V = sparse(repmat(1:m,1,3)',F(:),1,m,n); + for v = 1:n + % face(s) f incident on v + %f = find(V2F(v,:)); + f = find(F2V(:,v)); + Ff = F(f,:); + % Need to reindex or memory will explode when building Av + U = unique(Ff); + IM = sparse(U,1,1:numel(U)); + Ff = reshape(IM(Ff),size(Ff)); + Av = face_adjacency(Ff); + N(v) = conncomp(Av)~=1; + end + end +end diff --git a/matlab/external/gptoolbox/mesh/isolines.m b/matlab/external/gptoolbox/mesh/isolines.m new file mode 100644 index 0000000..ca3eab8 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/isolines.m @@ -0,0 +1,105 @@ +function [LS,LD,I] = isolines(V,F,S,iso) + % ISOLINES compute a list of isolines for a scalar field S defined on the + % mesh (V,F) + % + % [LS,LD,I] = isolines(V,F,S,iso) + % + % Inputs: + % V #V by dim list of vertex positions + % F #F by 3 list of triangle indices + % S #V list of scalar values defined on V + % iso #iso list of iso values + % Outputs: + % LS #L by dim list of isoline start positions + % LD #L by dim list of isoline destination positions + % I #L list of indices into iso revealing corresponding iso value + % + % alternative: tracing isolines should result in smaller plot data (every + % vertex only appears once + % + % Example: + % iso = linspace(min(S),max(S),10); + % [LS,LD] = isolines(V,F,S,iso); + % colormap(jet(numel(iso)-1)); + % tsurf(F,V,'CData',S,fphong); + % hold on; + % plot([LS(:,1) LD(:,1)]',[LS(:,2) LD(:,2)]', ... + % 'Color','k','LineWidth',10); + % hold off; + % + + % make sure iso is a ROW vector + iso = iso(:)'; + % number of isolines + niso = numel(iso); + + % number of domain positions + n = size(V,1); + % number of dimensions + dim = size(V,2); + + % number of faces + m = size(F,1); + + % Rename for convenience + S1 = S(F(:,1),:); + S2 = S(F(:,2),:); + S3 = S(F(:,3),:); + + % t12(i,j) reveals parameter t where isovalue j falls on the line from + % corner 1 to corner 2 of face i + t12 = bsxfun(@rdivide,bsxfun(@minus,iso,S1),S2-S1); + t23 = bsxfun(@rdivide,bsxfun(@minus,iso,S2),S3-S2); + t31 = bsxfun(@rdivide,bsxfun(@minus,iso,S3),S1-S3); + + % replace values outside [0,1] with NaNs + t12( (t12<-eps)|(t12>(1+eps)) ) = NaN; + t23( (t23<-eps)|(t23>(1+eps)) ) = NaN; + t31( (t31<-eps)|(t31>(1+eps)) ) = NaN; + + % masks for line "parallel" to 12 + l12 = ~isnan(t23) & ~isnan(t31); + l23 = ~isnan(t31) & ~isnan(t12); + l31 = ~isnan(t12) & ~isnan(t23); + + % find non-zeros (lines) from t23 to t31 + [F12,I12,~] = find(l12); + [F23,I23,~] = find(l23); + [F31,I31,~] = find(l31); + % indices directly into t23 and t31 corresponding to F12 and I12 + %ti12 = sub2ind(size(l12),F12,I12); + %ti23 = sub2ind(size(l23),F23,I23); + %ti31 = sub2ind(size(l31),F31,I31); + % faster sub2ind + ti12 = F12+(I12-1)*size(l12,1); + ti23 = F23+(I23-1)*size(l23,1); + ti31 = F31+(I31-1)*size(l31,1); + + % compute actual position values + LS = [ ... + ... % average of vertex positions between 2 and 3 + bsxfun(@times,1-t23(ti12), V(F(F12,2),:)) + ... + bsxfun(@times, t23(ti12), V(F(F12,3),:)) ... + ; ... % average of vertex positions between 2 and 3 + bsxfun(@times,1-t31(ti23), V(F(F23,3),:)) + ... + bsxfun(@times, t31(ti23), V(F(F23,1),:)) ... + ;... % average of vertex positions between 2 and 3 + bsxfun(@times,1-t12(ti31), V(F(F31,1),:)) + ... + bsxfun(@times, t12(ti31), V(F(F31,2),:)) ... + ]; + LD = [... + ... % hcat with average of vertex positions between 3 and 1 + bsxfun(@times,1-t31(ti12), V(F(F12,3),:)) + ... + bsxfun(@times, t31(ti12), V(F(F12,1),:)) ... + ;... % hcat with average of vertex positions between 3 and 1 + bsxfun(@times,1-t12(ti23), V(F(F23,1),:)) + ... + bsxfun(@times, t12(ti23), V(F(F23,2),:)) ... + ;... % hcat with average of vertex positions between 3 and 1 + bsxfun(@times,1-t23(ti31), V(F(F31,2),:)) + ... + bsxfun(@times, t23(ti31), V(F(F31,3),:)) ... + ]; + + % I is just concatenation of each I12 + I = [I12;I23;I31]; + +end diff --git a/matlab/external/gptoolbox/mesh/isolines_map.m b/matlab/external/gptoolbox/mesh/isolines_map.m new file mode 100644 index 0000000..5f9f80a --- /dev/null +++ b/matlab/external/gptoolbox/mesh/isolines_map.m @@ -0,0 +1,71 @@ +function M = isolines_map(varargin) + % ISOLINES_MAP Create a colormap that can be used to create "isolines". That + % is colored intervals where everyother interval is a thin black interval. + % + % M = isolines_map(n,thick) + % M = isolines_map(N,thick) + % + % Inputs: + % n number of *isolines* (thus there will be n+1 colored intervals), using + % default colormap + % or + % N #N by 3 input colormap, (thus there will be #N-1 isolines) + % Optional: + % 'LineColor' followed by {1|#N-1} by 3 color of isolines {[0 0 0]} + % 'Thickness' ratio of isointerval thick to isoline, where thick is + % measured on the color axis {10} + % + % Note: Remember to use 'FaceLighting','phong' in your trisurf plot to get + % crisp isointervals (and isolines) + % + + if numel(varargin{1}) == 1 + n = varargin{1}; + N = jet(n+1); + else + N = varargin{1}; + assert(size(N,2) == 3,'Number columns in colormap (%d) not 3',size(N,2)); + n = size(N,1) - 1; + end + + % Default optional parameters + thick = 10; + line_color = zeros([n 3]); + + ii = 2; + while ii <= nargin + switch varargin{ii} + case 'Thickness' + ii = ii + 1; + assert(ii<=nargin); + thick = varargin{ii}; + assert(thick == round(thick),'Thickness (%d) ot an integer',thick); + case 'LineColor' + ii = ii + 1; + assert(ii<=nargin); + line_color = varargin{ii}; + assert(size(line_color,2) == 3, ... + 'Number of columns in LineColor %d not 3',size(line_color,2)); + if size(line_color,1) == 1 + line_color = repmat(line_color,[n 1]); + else + assert(size(line_color,1) == n, ... + 'Number of rows in LineColor (%d) not n (%d)',size(line_color,1),n); + end + otherwise + error(['Unsupported parameter: ' varargin{ii}]); + end + ii = ii+1; + end + + % append phony color to line_color to make it match N + line_color = [line_color;[1 0 0]]; + assert(size(N,1) == size(line_color,1)) + + % repeat N thick times + N = repmat(N,[1 1 thick]); + M = reshape(permute(cat(3,N,line_color),[3 1 2]),(n+1)*(thick + 1),3); + % drop phony color + M = M(1:(end-1),:); + +end diff --git a/matlab/external/gptoolbox/mesh/isometric_curve_flow.m b/matlab/external/gptoolbox/mesh/isometric_curve_flow.m new file mode 100644 index 0000000..deca03c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/isometric_curve_flow.m @@ -0,0 +1,104 @@ +function [U,UT] = isometric_curve_flow(V,varargin) + % ISOMETRIC_CURVE_FLOW Isometric flow for curves as described by "Robust + % Fairing via Conformal Curvature Flow" by [Crane et al. 2013] + % + % U = isometric_curve_flow(V) + % U = isometric_curve_flow(V,'ParameterName',ParameterValue,...) + % + % Inputs: + % V #V by 2 list of vertex positions + % Optional: + % 'Tao' followed by timestep tao + % Outputs: + % U #V by 2 list of vertex positions + % + + % time step + tao = 1e-2; + + ii = 1; + while ii < numel(varargin) + switch varargin{ii} + case 'Tao' + assert(ii+1<=numel(varargin)); + ii = ii+1; + tao = varargin{ii}; + otherwise + error('Unsupported parameter: %s',varargin{ii}); + end + ii = ii+1; + end + + % number of points + n = size(V,1); + + % Evaluate curvature and edge vectors + [kappa,alpha,ev,l] = curvature(V); + + % desired flow direction + kappa_dot = - 2 * kappa; + + % defining edge length at each point + egde_vector = zeros(n,1); + for k=2:n-1 + edge_vector(k) = 0.5*(norm(V(k+1,:)-V(k,:))+norm(V(k-1,:)-V(k,:))); + end + edge_vector(1) = 0.5*(norm(V(2,:)-V(1,:))+norm(V(size(V,1),:)-V(1,:))); + edge_vector(n) = 0.5*(norm(V(1,:)-V(n,:))+norm(V(n,:)-V(n-1,:))); + % mass matrix + M = diag(sparse(0.5*(l([end 1:end-1]) + l))); + + % re-defining orthonormal basis + C(:,1) = ones(n,1)/sqrt(ones(n,1)'*M*ones(n,1)); + + C(:,2) = V(:,1) - ((V(:,1)'*M*C(:,1)))*C(:,1); + C(:,2) = C(:,2)/sqrt(C(:,2)'*M*C(:,2)); + + C(:,3) = V(:,2) - ((V(:,2)'*M*C(:,1)))*C(:,1) - ((V(:,2)'*M*C(:,2)))*C(:,2) ; + C(:,3) = C(:,3)/sqrt(C(:,3)'*M*C(:,3)); + + % kappa_dot = kappa_dot - ... + % (kappa_dot'*M*C(:,1))*C(:,1) - ... + % (kappa_dot'*M*C(:,2))*C(:,2) - ... + % (kappa_dot'*M*C(:,3))*C(:,3) ; + kappa_dot = kappa_dot - sum(bsxfun(@times,sum(bsxfun(@times,kappa_dot,M*C)),C),2); + + % Take explicit euler step + kappa = kappa + tao * kappa_dot; + + % arbitrarily let theta_0 = 0 + theta_0 = 0; + % % angle between last segment and -x-axis + %theta_0 = atan2( ... + % ev(end,1).*0 - ev(end,2).*-1, ... + % ev(end,1).*-1 + ev(end,2).*0 ); + theta_0 = atan2( ... + -1.*ev(end,2) - 0.*ev(end,1), ... + -1.*ev(end,1) + 0.*ev(end,2)); + theta = theta_0 + cumsum(kappa .* (0.5 * (l([end 1:end-1]) + l))); + + % recover tangents: T(i,:) is along V(i,:) to V(i+1,:) + T = bsxfun(@times,l,[cos(theta) sin(theta)]); + UT = [V(1,:); bsxfun(@plus,V(1,:),cumsum(-T))]; + + % Recover positions + % build laplacian + L = sparse(1:n,[2:n 1],-1./l,n,n); + % symmetric + L = L+L'; + % diagonal diagonals + L = L - diag(sum(L,2)); + % Bulid rhs + b = bsxfun(@rdivide,T,l); + b = b-b([end 1:end-1],:); + % % solve + %U = L\b; + % Fix U(1,:) and solve + U = V; + U(2:end,:) = L(2:end,2:end) \ (-L(2:end,1) * U(1,:) + b(2:end,:)); + + % % fit a rigid transformation + %[R,T] = fit_rigid(V,U); + %U = bsxfun(@plus,U*R,T); + +end diff --git a/matlab/external/gptoolbox/mesh/iterative_laplacian_mesh_editing.m b/matlab/external/gptoolbox/mesh/iterative_laplacian_mesh_editing.m new file mode 100644 index 0000000..1febcc2 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/iterative_laplacian_mesh_editing.m @@ -0,0 +1,143 @@ +function [U,preF] = iterative_laplacian_mesh_editing(varargin) + % ITERATIVE_LAPLACIAN_MESH_EDITING deform a mesh using iterative laplacian + % mesh editing scheme (described many places, for example "Handle-Aware + % Isolines for Scalable Shape Editing") + % + % U = iterative_laplacian_mesh_editing(V,F,b,bc) + % + % Inputs: + % V #V by dim list of rest domain positions + % F #F by 3 list of triangle indices into V + % b #b list of indices of constraint (boundary) vertices + % bc #b by dim list of constraint positions for b + % Optional: + % 'V0' #V by dim list of initial guess positions + % dim by dim by #C list of linear transformations initial guesses, + % optional (default is to use identity transformations) + % 'Tol' + % stopping critera parameter. If variables (linear transformation matrix + % entries) change by less than 'tol' the optimization terminates, + % default is 0.75 (weak tolerance) + % 'MaxIter' + % max number of local-global iterations, default is 10 + % 'PreF' + % prefactored systems for each dimension + % Outputs: + % U #V by dim list of new positions + + % parse input + V = varargin{1}; + F = varargin{2}; + b = varargin{3}; + bc = varargin{4}; + + % number of vertices + n = size(V,1); + assert(max(b) <= n); + assert(min(b) >= 1); + % dimension + dim = size(V,2); + assert(dim == size(bc,2)); + + max_iterations = 100; + tol = 0.001; + preF = []; + + ii = 5; + while(ii <= nargin) + switch varargin{ii} + case 'V0' + ii = ii + 1; + assert(ii<=nargin); + U = varargin{ii}; + case 'Tol' + ii = ii + 1; + assert(ii<=nargin); + tol = varargin{ii}; + case 'MaxIter' + ii = ii + 1; + assert(ii<=nargin); + max_iterations = varargin{ii}; + case 'PreF' + ii = ii + 1; + assert(ii<=nargin); + if ~isempty(varargin{ii}) + preF = varargin{ii}; + end + otherwise + error(['Unsupported parameter: ' varargin{ii}]); + end + ii = ii + 1; + end + + if(~exist('U','var') || isempty(U)) + U = V; + end + + % Minimize the differences between the Laplacian coordinates before and after + % editing in a least squares sense: + % + % arg min || LX - δ(X) ||² + % X + % + % Equivalent to solving the following in a least-squares sense: + % + % A * X = B(X) + % + % where A, laplace operator of original mesh; B(X) = δ(X), the laplacian + % coodinates of the deformed mesh, that is, δ is the laplace operator of the + % deformed mesh + % + % Minimize this by iterating two steps: + % Compute B0 = B(X0) = δ0(X0) + % that is build the laplace operator according to X0 and apply to X0 + % Solve A * X = B0 in least squares sense + % that is: + % min (A * X - B0)' * (A * X - B0) + % min X' * A' * A * X - 2 * X' * A' * B0 + B0' * B0 + % min X' * Q * X + X' * L + C + % with: + % Q = A' * A + % L = - 2 * A' * B0 + % solve with: + % X = - Q \ ( L * X ) + % + % All subject to position constraints on boundary (handles) + % + + + iteration = 0; + U_prev = V; + if ~isfield(preF,'mqwf') + preF.LV = cotmatrix(V,F); + preF.Q = preF.LV'*preF.LV; + preF.mqwf = []; + preF.h = avgedge(V,F); + else + preF.Q = []; + end + while( ... + iteration < max_iterations && ... + (iteration == 0 || max(abs(U(:)-U_prev(:)))>tol*preF.h)) + % remember last solution + U_prev = U; + + % always enforce boundary conditions + U(b,:) = bc; + + % build laplace operator on deformed mesh + LU = cotmatrix(U,F); + % compute laplacian coordinates on deformed mesh + % in 2D this is always zero + B = LU * U; + + %E = sum(sum((preF.LV*U - LU * U).^2,2)); + + % solve for new positions + [U,preF.mqwf] = min_quad_with_fixed(preF.Q,-2*preF.LV'*B,b,bc,[],[],preF.mqwf); + + iteration = iteration + 1; + end + + +end diff --git a/matlab/external/gptoolbox/mesh/kharmonic.m b/matlab/external/gptoolbox/mesh/kharmonic.m new file mode 100644 index 0000000..5dc9001 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/kharmonic.m @@ -0,0 +1,53 @@ +function W = kharmonic(V,F,b,bc,k) + % KHARMONIC k-harmonic coordinates, "Harmonic Coordinates for Character + % Articulation" by Joshi et al, and "An Intuitive Framework for Real-Time + % Freeform Modeling" section 3 "Precomputed basis functions" by Botsch and + % Kobbelt + % + % W = kharmonic(V,F,b,bc) + % W = kharmonic(V,F,b,bc,k); + % + % Inputs: + % V list of vertex positions + % F list of face indices, for 3D F is #F by 4, for 2D F is #F by 3 + % b list of boundary vertices + % bc list of boundary conditions, size(boundary) by # handles matrix of + % boundary conditions where bc(:,i) are the boundary conditions for the + % ith handle + % Optional: + % k power of laplacian {k=1 %harmonic} + % Outputs: + % W weights, # vertices by # handles matrix of weights + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also: boundary_conditions, biharmonic_bounded + % + + if ~exist('k','var') + % default to harmonic coordinates + k = 1; + end + + % number of vertices + n = size(V,1); + % number of handles + m = size(bc,2); + + % Build discrete laplacian and mass matrices used by all handles' solves + L = cotmatrix(V,F); + M = massmatrix(V,F); + % NORMALIZE MASSMATRIX (THIS IS IMPORTANT!!) + M = M./max(abs(diag(M))); + + % build k-laplacian, quadratic coefficients + Q = -L; + for ii = 2:k + Q = Q*(M\-L); + end + + % Minimize W'QW subject to W(b,:) = bc + tic; + W = min_quad_with_fixed(Q,zeros(n,1),b,bc); + toc +end diff --git a/matlab/external/gptoolbox/mesh/laplacian_smooth.m b/matlab/external/gptoolbox/mesh/laplacian_smooth.m new file mode 100644 index 0000000..01111b8 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/laplacian_smooth.m @@ -0,0 +1,123 @@ +function [U,Uall] = laplacian_smooth(V,F,L_method,b,lambda,method,S,max_iter) + % LAPLACIAN_SMOOTH smooth a mesh using implicit/explicit laplacian smoothing + % + % [U] = laplacian_smooth(V,F) + % [U] = laplacian_smooth(V,F,L_method,b,lambda,method,S) + % [U,Uall] = laplacian_smooth(V,F,L_method,b,lambda,method,S,max_iter) + % + % Inputs: + % V #V x 3 matrix of vertex coordinates + % F #F x 3 matrix of indices of triangle corners + % L_method method for laplacian + % 'uniform' + % 'cotan' + % b list of indices of fixed vertices + % lambda diffusion speed parameter {0.1} + % method method to use: + % 'implicit' (default) + % 'explicit' + % S scalar fields to smooth (default V) + % Outputs: + % U #V x 3 list of new vertex positions + % Uall #V x 3 x iters list of new vertex positions for each iteration + % + + % number of vertices + n = size(V,1); + + % nuymber of dimensions + dim = size(V,2); + + + if(~exist('L_method','var')) + if is_planar(V) + L_method = 'uniform'; + else + L_method = 'cotan'; + end + end + + if(~exist('lambda','var')) + lambda = 0.1; + end + + if(~exist('b','var')) + b = []; + end + + % bulid sparse identity matrix + I = speye(n,n); + + if(~exist('method','var')) + method = 'implicit'; + end + + + h = avgedge(V,F); + if(~exist('tol','var')) + tol = 0.001; + end + + if(~exist('max_iter','var')) + max_iter = 1000; + end + + if(~exist('S','var')) + S = V; + end + + + % only compute uniform laplacain once + if strcmp(L_method,'uniform') + % planar meshes should use uniform laplacian + A = adjacency_matrix(F); + L = A - diag(sum(A)); + end + + % place for factorization and symmtery flag used by min_quad_with_fixed + P = []; + sym = []; + + iter = 0; + U = S; + U_prev = S; + if nargout >= 2 + Uall = []; + end + + % recompute laplacian + if strcmp(L_method,'cotan') + % other 3D meshes should use cotangent laplacian + L = cotmatrix_embedded(V,F); + %error + end + + while( iter < max_iter && (iter == 0 || max(abs(U(:)-U_prev(:)))>tol*h)) + U_prev = U; + + switch method + case 'implicit' + Q = (I-lambda*L); + % could prefactor Q for 'uniform' case + for d = 1:size(S,2) + [U(:,d),P] = min_quad_with_fixed(Q*0.5,-U(:,d),b,S(b,d),[],[],P); + end + case 'explicit' + Q = (I+lambda*L); + U = Q * U; + % enforce boundary + U(b,:) = S(b,:); + otherwise + error(['' method ' is not a supported smoothing method']); + end + + if nargout >= 2 + Uall = cat(3,Uall,U); + end + iter = iter + 1; + end + + %[iter max_iter] + %[max(abs(U(:)-U_prev(:))) tol*h] + +end diff --git a/matlab/external/gptoolbox/mesh/lapsmoothF.m b/matlab/external/gptoolbox/mesh/lapsmoothF.m new file mode 100644 index 0000000..0d4871b --- /dev/null +++ b/matlab/external/gptoolbox/mesh/lapsmoothF.m @@ -0,0 +1,27 @@ +function [S] = lapsmoothF(TT,S,a,it) +% LAPSMOOTHF Laplacian smoothing for a scalar field defined on faces +% +% [S] = lapsmoothF(TT,S,a,it) +% +% Inputs: +% TT triangle-triangle topology (use tt to compute it) +% S scalar filed defined over faces, Fx1 +% a controls the smoothing strenght (0..1) +% it number of iterations +% Output: +% S smoothed scalar field, Fx1 + +for x = 1:it + for i=1:size(TT,1) + acc = 0; + count = 0; + for j=1:3 + if(TT(i,j) ~= -1) + acc = acc + S(TT(i,j)); + count = count + 1; + end + end + S(i) = (1-a)*S(i) + ... + (a * acc./count); + end +end diff --git a/matlab/external/gptoolbox/mesh/lbs.m b/matlab/external/gptoolbox/mesh/lbs.m new file mode 100644 index 0000000..6b91921 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/lbs.m @@ -0,0 +1,39 @@ +function [U] = lbs(V,T,W) + % LBS Compute linear blend skinning deformation of vertices V, using + % transformations at some control points T, propogated to the mesh using + % weights W. + % + % [U] = lbs(V,T,W) + % + % Inputs: + % V list of vertex positions + % T list of transformations for each controls point, for 2D: + % 2 by 3 by #controls, for 3D: 3 x 4 by # controls + % W weights, # vertices by # handles matrix of weights + % Output: + % U list of new vertex positions + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also: dualquatlbs + % + + %% only handle 2D for now + %assert(size(V,2) == 2); + dim = size(V,2); + + % number of control points + m = size(T,3); + % stack T is one tall 2*m by 3 matrix + TT = reshape(permute(T,[2,1,3]),[dim+1,dim*m])'; + % Transpose V and append homogeneous w-coordinate + VV = [V(:,1:dim)'; ones(1,size(V,1))]; + % Multiply each transformation against each mesh vertex position, and reshape + % so that 3 dim gives deformation according to each control point + VVV = reshape((TT*VV)',[size(V,1),dim,m]); + % stack weights for each coordinate for each control + WW = permute(repmat(W,[1,1,dim]),[1,3,2]); + % added weighted combinations of deformations according to each control + U = sum(WW.*VVV,3); + +end diff --git a/matlab/external/gptoolbox/mesh/limit_faces.m b/matlab/external/gptoolbox/mesh/limit_faces.m new file mode 100644 index 0000000..bcac1c2 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/limit_faces.m @@ -0,0 +1,36 @@ +function [LF,in] = limit_faces(F,L,exclusive) + % LIMIT_FACES limit given faces F to those which contain (only) indices found + % in L. + % + % [LF] = limit_faces(F,L,exclusive); + % [LF,in] = limit_faces(F,L,exclusive); + % + % Inputs: + % F #F by 3 list of face indices + % L #L by 1 list of allowed indices + % or + % L #V by 1 list of bools specifying if each index in L is allowed + % exclusive flag specifying whether a face is included only if all its + % indices are in L, default is false + % Outputs: + % LF #LF by 3 list of remaining faces after limiting + % in #F list of whether given face was included + % + + if islogical(L) + indices = 1:numel(L); + L = indices(L); + end + + + if(exist('exclusive','var') && exclusive) + % all indices must be in F + in = ismember(F(:,1),L) & ismember(F(:,2),L) & ismember(F(:,3),L); + else + % at least one index must be in F + in = ismember(F(:,1),L) | ismember(F(:,2),L) | ismember(F(:,3),L); + end + + LF = F(in,:); + +end diff --git a/matlab/external/gptoolbox/mesh/linear_sweep.m b/matlab/external/gptoolbox/mesh/linear_sweep.m new file mode 100644 index 0000000..0c1fdad --- /dev/null +++ b/matlab/external/gptoolbox/mesh/linear_sweep.m @@ -0,0 +1,103 @@ +function [SV,SF] = linear_sweep(V,F,sweep) + % LINEAR_SWEEP Compute the surface of the solid sweep of a surface mesh (V,F) + % along a vector (sweep): i.e. the Minkowski sum of (V,F) and the line + % segment (0,0)-->(sweep) + % + % [SV,SF] = linear_sweep(V,F,sweep) + % + % Inputs: + % V #V by dim list of vertex positions + % F #F by dim list of facet indices into V + % sweep 1 by dim vector defining sweep direction and distance + % Outputs: + % SV #SV by dim list of vertex positions + % SF #F by dim list of facet indices into SV + % + + dim = size(V,2); + assert(dim == size(F,2),'Facet degree should equal dim'); + + % vertices at end of sweep + U = bsxfun(@plus,V,sweep); + + % number of vertices + n = size(V,1); + + switch dim + case 2 + % Facets are edges + E = F; + % normals + N = normalizerow(V(E(:,2),:)-V(E(:,1),:))*[0 -1;1 0]; + % dot product with sweep direction + D = sum(bsxfun(@times,N,sweep),2); + % edges with positive and negative dot product with sweep + Ep = E(D>0,:); + Em = E(D<=0,:); + % sign of incidence for all vertices + S = sparse(Ep,1,repmat([1 -1],size(Ep,1),1),n,1); + % find any incidence + I = find(S); + % "walls" + Epw = [I n+I]; + Epw(S(I)<0,:) = fliplr(Epw(S(I)<0,:)); + EE = [E;n+E;Epw]; + VV = [V;U]; + % Tesselated interior + [TV,TF] = triangle(VV,EE,[],'Quiet'); + % (self-intersecting) boundary Sweep + WE = [Em;n+Ep;Epw]; + WV = [V;U]; + % Classify interior elements with winding number + w = winding_number(WV,WE,barycenter(TV,TF)); + % Extract boundary of w~=0 part + SE = outline(TF(round(w)~=0,:)); + [SV,IM] = remove_unreferenced(TV,SE); + SE = IM(SE); + % output names + SF =SE; + case 3 + % normals + N = normalizerow(normals(V,F)); + % dot product with sweep direction + D = sum(bsxfun(@times,N,sweep),2); + % faces with positive and negative dot product with sweep + Fp = F(D>0,:); + Fm = F(D<=0,:); + O = outline(Fp); + Fpw = [O(:,[1 2]) n+O(:,2);n+O(:,[2 1]) O(:,1)]; + FF = [F;n+F;Fpw]; + VV = [V;U]; + % Tesselated interior + [SVV,SFF,~,~,IM] = selfintersect(VV,FF); + SFF = IM(SFF); + [SVV,IM] = remove_unreferenced(SVV,SFF); + SFF = IM(SFF); + + % Can do this all using "peeling" like booleans. For now just do single + % outer-layer in easy case. + + % check if bounding boxes overlap + [BV,BF] = bounding_box(V); + BU = bsxfun(@plus,BV,sweep); + if all(round(winding_number(BV,BF,BU))==0) + SF = outer_hull(SVV,SFF); + [SV,IM] = remove_unreferenced(SVV,SF); + SF = IM(SF); + else + %statistics(SVV,SFF) + [TV,TT,TF] = tetgen(SVV,SFF,'Flags','-YT1e-16'); + % (self-intersecting) boundary Sweep + WF = [Fm;n+Fp;Fpw]; + WV = [V;U]; + BC = barycenter(TV,TT); + % Classify interior elements with winding number + w = winding_number(WV,WF,BC); + % Extract boundary of w~=0 part + SF = boundary_faces(TT(round(w)~=0,:)); + [SV,IM] = remove_unreferenced(TV,SF); + SF = IM(SF); + end + end + +end diff --git a/matlab/external/gptoolbox/mesh/load_mesh.m b/matlab/external/gptoolbox/mesh/load_mesh.m new file mode 100644 index 0000000..c4cbeae --- /dev/null +++ b/matlab/external/gptoolbox/mesh/load_mesh.m @@ -0,0 +1,59 @@ +function [V,F] = load_mesh(filename,varargin) + % read in vertices and faces from a .off or .obj file + % + % [V,F] = load_mesh(filename) + % [V,F] = load_mesh(filename,'ParameterName',ParameterValue, ...) + % + % Input: + % filename file holding mesh + % Optional: + % 'Quiet' followed by whether to be quiet {false} + % Output: + % V (vertex list) + % F (face list) fields + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also: readOBJ, readOBJfast, readOFF + % + + % parse any optional input + v = 1; + quiet = false; + while(v <= numel(varargin)) + switch varargin{v} + case 'Quiet' + v = v+1; + assert(v<=nargin); + quiet = varargin{v}; + quiet = quiet * 1; + otherwise + error(['Unsupported parameter: ' varargin{v}]); + end + v = v + 1; + end + + [~,~,ext] = fileparts(filename); + ext = lower(ext); + switch ext + case '.off' + [V,F] = readOFF(filename); + case '.ply' + [V,F] = readPLY(filename); + case '.stl' + [V,F] = readSTL(filename); + case '.wrl' + [V,F] = readWRL(filename); + case '.obj' + try + [V,F] = readOBJfast(filename); + catch exception + if ~quiet + fprintf('Fast reader failed, retrying with more robust, slower reader\n'); + end + [V,F] = readOBJ(filename); + end + otherwise + error('Unknown mesh format: %s',ext); + end +end diff --git a/matlab/external/gptoolbox/mesh/local_max.m b/matlab/external/gptoolbox/mesh/local_max.m new file mode 100644 index 0000000..846570d --- /dev/null +++ b/matlab/external/gptoolbox/mesh/local_max.m @@ -0,0 +1,39 @@ +function [max_v,max_i,max_diff] = local_max(F,S,ep) + % LOCAL_MAX find values and indices of local maxima of a scalar field + % defined on a mesh + % + % [max_v,max_i,max_diff] = local_max(F,S,ep) + % + % Inputs: + % F #faces by 3 list of triangle indices + % S #vertices by 1 list of scalar values + % Outputs: + % max_v #maxima list of values at local maxima + % max_i #maxima list of indices into S of local maxima + % max_diff #maxima list of max difference between each maxima and its + % neighbors + % + + if ~exist('ep','var') + ep = 0; + end + + % number of vertices + n = numel(S); + if size(F,2) == 2 + E = F; + else + E = edges(F); + end + E = [E;fliplr(E)]; + A = sparse( ... + E(:,1), ... + E(:,2), ... + S(E(:,1))-S(E(:,2)), ... + n,n); + maxA = maxnz(A)'; + [max_i,~] = find(maxA-ep); + min_diff = minA(min_i); + min_v = S(min_i); + +end + diff --git a/matlab/external/gptoolbox/mesh/loop.m b/matlab/external/gptoolbox/mesh/loop.m new file mode 100644 index 0000000..df3d89a --- /dev/null +++ b/matlab/external/gptoolbox/mesh/loop.m @@ -0,0 +1,163 @@ +function [VV,FF] = loop(V,F,iter) +% LOOP perform loop subdivision +% +% [VV,FF] = loop(V,F) +% +% Inputs: +% V #vertices by 3 list of vertex positions +% F #faces by 3 list of face indices +% Outpus: +% VV new vertex positions +% FF new list of face indices +% +% Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) +% + +if (~exist('iter','var')) + iter = 1; +end +VV = V; +FF = F; + +for i=1:iter + + % number of original vertices + n = size(VV,1); + % number of original faces + nf = size(FF,1); + + % outline edges + O = outline(FF); + + % indices of original vertices + original = 1:n; + % extract unique vertex indices on outline + [boundary,~,~] = unique(O(:)); + % original interior vertices + interior = original(~ismember(original,boundary)); + % number of original + no = numel(original); + % number of interior original + ni = numel(interior); + % number of boundary original + nb = numel(boundary); + + % get adjacency matrix + A = adjacency_matrix(FF); + % number of edges + ne = sum(A(:))/2; + + % valence values + val = sum(A,2); + beta = (1./val) .* (5/8 - ( 3/8 + (1/4)*(cos ( 2*pi./val ) )).^2); + % subdivision matrix for interior (even) vertices + Seven = sparse(n,n); + + %% as if all vertices are interior, then splice out interior + %Sint = bsxfun(@times,A,beta) + diag(sparse(1-val.*beta)); + %S(interior,:) = Sint(interior,:); + % construct interior coefficients directly + Seven(interior,:) = ... + bsxfun(@times,A(interior,:),beta(interior)) + ... + sparse(1:ni,original(interior),1-val(interior).*beta(interior),ni,no); + + % construct boundary coefficients + Sboundary = ... + sparse([O(:,1);O(:,2)],[O(:,2);O(:,1)],1/8,n,n) + ... + sparse([O(:,1);O(:,2)],[O(:,1);O(:,2)],3/8,n,n); + Seven(boundary,:) = Sboundary(boundary,:); + + % odd vertex subdivision matrix + + % add a new vertex for each edge + + % get "face edges" aka half-edges + FE = sort([FF(:,1) FF(:,2);FF(:,2) FF(:,3);FF(:,3) FF(:,1)],2); + % get unique edge list, FE2E tells original face edges (with duplicates, EE) + % where to find matching unique edge (E) + [E,I,FE2E] = unique(FE,'rows'); + + % #E by #V matrix, flaps(i,j) = 1 only if vertex j is a "flap" vertex of edge + % i, i.e. vertex j *shares a face* both E(i,1) and E(i,2) + FEflaps = [FF(:,3);FF(:,1);FF(:,2)]; + flaps = sparse(FE2E,FEflaps,1); + + + % new vertices on boundary + onboundary = sparse(sum(flaps,2) == 1); + + % flag for extra ordinary vertices + extraordinary = sum(A,2) > 7; + % boundary vertices are by default extraordinary + extraordinary(E(:,1)) = extraordinary(E(:,1)) | onboundary; + extraordinary(E(:,2)) = extraordinary(E(:,2)) | onboundary; + % both edge endpoints are extraordinary, for this case will ignore that + % they're extra ordinary + both = extraordinary(E(:,1)) & extraordinary(E(:,2)); + neither = (~extraordinary(E(:,1))) & (~extraordinary(E(:,2))); + neither = neither | both; + + % don't consider flaps for boundary vertices + flaps(onboundary,:) = 0; + + % THIS IS WRONG: + %Sodd = ... + % sparse( ... + % [1:size(E,1) 1:size(E,1)]', ... + % [E(:,1);E(:,2)], ... + % ([onboundary;onboundary]).*1/2 + ... + % (~[onboundary;onboundary]).*( ... + % [neither;neither] .* 3/8 + ... + % (~[neither;neither]) .* ( ... + % [extraordinary(E(:,1));extraordinary(E(:,2))].*1/2 + ... + % (~[extraordinary(E(:,1));extraordinary(E(:,2))]).*1/4)), ... + % ne, ... + % n) + ... + % flaps*1/8; + + % Without considering extraordinary vertices + Sodd = ... + sparse( ... + [1:size(E,1) 1:size(E,1)]', ... + [E(:,1);E(:,2)], ... + ([onboundary;onboundary]).*1/2 + (~[onboundary;onboundary]).*3/8, ... + ne, ... + n) + ... + flaps*1/8; + + % there are only one or two flap vertices per edge + assert(all(sum(flaps,2) <= 2)) + % rows should sum to one + assert(all(sum(Sodd,2) == 1)) + + VVeven = Seven*VV; + + % indices of new points as if we really added a new point for each half edge + i3 = n + (1:nf)'; + i1 = n+nf + (1:nf)'; + i2 = n+2*nf+ (1:nf)'; + % new face indices, 4 new faces for each original face. As if we simply + % ignored the duplicates in m and had appended m to V + FEF = [ FF(:,1) i3 i2 ; FF(:,2) i1 i3 ; FF(:,3) i2 i1 ; i1 i2 i3]; + % reindex map from duplicate midpoint indices to unique midpoint indices + FE2E = [(1:n)';FE2E+n]; + % reindex faces + FF = FE2E(FEF); + + VVodd = Sodd*VV; + + VV = [VVeven; VVodd]; + + %trisurf(F,V(:,1),V(:,2),V(:,3),'FaceAlpha',0.1,'FaceColor','r','EdgeColor',[0.3 0 0]); + %hold on; + %trisurf(F,VVeven(:,1),VVeven(:,2),VVeven(:,3),'FaceAlpha',0.1,'FaceColor','b','EdgeColor',[0 0 0.3]); + %trisurf(FF,VV(:,1),VV(:,2),VV(:,3),'FaceAlpha',0.1,'FaceColor','g','EdgeColor',[0 0.3 0.0]); + %plot3(VVodd(:,1),VVodd(:,2),VVodd(:,3),'y.'); + %hold off; + %view(2); + + %tsurf(F,V); + %text(V(:,1),V(:,2),V(:,3),num2str(S(694,:)'),'BackgroundColor',[.8 .8 .8]); +end + +end diff --git a/matlab/external/gptoolbox/mesh/lscm.m b/matlab/external/gptoolbox/mesh/lscm.m new file mode 100644 index 0000000..b78c277 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/lscm.m @@ -0,0 +1,83 @@ +function [U] = lscm(V,F,b,bc) + % LSCM Compute Least Squares Conformal Mapping for mesh + % + % U = lscm(V,F,b,bc) + % + % Inputs: + % V #V by dim list of rest domain positions + % F #F by 3 list of triangle indices into V + % b #b list of indices of constraint (boundary) vertices + % bc #b by 2 list of constraint positions for b + % Outputs: + % U #V by 2 list of new positions + % + % Note: This is the same system as takeo_asap up to a factor of 2.5 + % + % See also: arap, takeo_arap, takeo_asap + % + + % number of vertices + n = size(V,1); + % number of triangles + nt = size(F,1); + % number of original dimensions + dim = size(V,2); + + % first need to convert each triangle to its orthonormal basis, if coming + % from 3D + assert(dim == 2); + + + %% Indices of each triangle vertex, I, and its corresponding two neighbors, J + %% and K + %I = [F(:,1)]; + %J = [F(:,2)]; + %K = [F(:,3)]; + + %X = [V(I,1) V(J,1) V(K,1)]; + %Y = [V(I,2) V(J,2) V(K,2)]; + + %WRe = [X(:,3)-X(:,2) X(:,1)-X(:,3) X(:,2)-X(:,1)]; + %WIm = [Y(:,3)-Y(:,2) Y(:,1)-Y(:,3) Y(:,2)-Y(:,1)]; + + %% sqrt root of twice the area of each triangle + %dT = sqrt(doublearea(V,F)); + + %% build M matrix, real and imaginary parts + %II = [1:nt 1:nt 1:nt]; + %JJ = [I;J;K]'; + %VVRe = [WRe(:,1)./dT WRe(:,2)./dT WRe(:,3)./dT]; + %VVIm = [WIm(:,1)./dT WIm(:,2)./dT WIm(:,3)./dT]; + + %WWRe = sparse(II,JJ,WRe,nt,n); + %WWIm = sparse(II,JJ,WIm,nt,n); + %% These look like blocks in the gradient matrix + %MRe = sparse(II,JJ,VVRe,nt,n); + %MIm = sparse(II,JJ,VVIm,nt,n); + + %% build A matrix + %A = [MRe -MIm; MIm MRe]; + + %% quadratic system matrix + %Q = A'*A; + + % Or equivalently + + % compute gradient matrix + G = grad(V,F); + + % Extract each coordinate's block + Gx = G(1:nt,:); + Gy = G(nt+(1:nt),:); + + % Triangle areas + TA = repdiag(diag(sparse(doublearea(V,F))/2),2); + + % Build quadratic coefficients matrix + Q = [Gx -Gy;Gy Gx]'*TA*[Gx -Gy;Gy Gx]; + + % solve + U = min_quad_with_fixed(Q,zeros(2*n,1),[b b+n],bc(:)); + % reshape into columns + U = reshape(U,n,2); +end diff --git a/matlab/external/gptoolbox/mesh/manifold_patches.m b/matlab/external/gptoolbox/mesh/manifold_patches.m new file mode 100644 index 0000000..c307dc4 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/manifold_patches.m @@ -0,0 +1,27 @@ +function [C,A,uE2F,uE] = manifold_patches(F) + % MANIFOLD_PATCHES Compute connected components of facets connected by + % manifold edges. + % + % [C,A,uE2F,uE] = manifold_patches(F) + % + % Known bugs: This will detect a moebius strip as a single patch (manifold, + % non-orientable) and also non-manfiold, yet orientable patches. + % + % Q: Does this find exactly (manifold || orientable) patches? + % + % Inputs: + % F #F by simplex-size list of facets + % Outputs: + % C #F list of component ids + % A #F by #F adjacency matrix + % + + % simplex size + ss = size(F,2); + assert(ss == 3); + + [A,uE2F,uE] = facet_adjacency_matrix(F,'ManifoldOnly',true); + % Connected components are patches + [~,C] = conncomp(A); + +end diff --git a/matlab/external/gptoolbox/mesh/mark_extrema.m b/matlab/external/gptoolbox/mesh/mark_extrema.m new file mode 100644 index 0000000..56a278f --- /dev/null +++ b/matlab/external/gptoolbox/mesh/mark_extrema.m @@ -0,0 +1,104 @@ +function [s] = mark_extrema(varargin) + % MARK_EXTREMA mark with colored points the extrema of the colordata on a + % given surface plot + % + % [s] = mark_extrema(f,'ParameterName',ParameterValue); + % [s] = mark_extrema(f,S,'ParameterName',ParameterValue); + % + % Inputs: + % t handle to trisurf plot + % Optional: + % S optional scalar data + % 'Epsilon' followed by epsilon value used for near extrema + % 'Zero' followed by zero value used for extrema + % 'MaxNum' maximum number of extrema to show + % Outputs: + % s list of handles to scatter3 plots for extrema + % + t = varargin{1}; + ii = 2; + if nargin > 1 && ~ischar(varargin{2}) + S = varargin{ii}; + ii = ii + 1; + end + + % defaults + epsilon = 1e-15; + max_num = Inf; + my_zero = 0; + + while(ii <= nargin) + switch varargin{ii} + case 'Zero' + ii = ii + 1; + assert(ii<=nargin); + my_zero = varargin{ii}; + case 'Epsilon' + ii = ii + 1; + assert(ii<=nargin); + epsilon = varargin{ii}; + case 'MaxNum' + ii = ii + 1; + assert(ii<=nargin); + max_num = varargin{ii}; + otherwise + error(['Unsupported parameter: ' varargin{ii}]); + end + ii = ii+1; + end + + + if strcmp(get(t,'type'),'line') + V = [get(t,'XData');get(t,'YData');0*get(t,'XData')]'; + F = [1:(size(V,1)-1); 2:size(V,1)]'; + SD = get(t,'YData')'; + else + V = get(t,'Vertices'); + F = get(t,'Faces'); + SD = get(t,'FaceVertexCData'); + end + + if ~exist('S','var') + S = SD; + end + + [xv,xi,xd] = local_max(F,S); + [nv,ni,nd] = local_min(F,S); + xi = xi(abs(xd)>my_zero); + ni = ni(abs(nd)>my_zero); + + if max_num ~= Inf + xi = unique([xi(xv==max(xv));xi(1:round(max(1,end/max_num)):end)]); + ni = unique([ni(nv==min(nv));ni(1:round(max(1,end/max_num)):end)]); + end + + [~,wxi,wxd] = local_max(F,S,epsilon); + [~,wni,wnd] = local_min(F,S,epsilon); + wxi = wxi(abs(wxd)>my_zero); + wni = wni(abs(wnd)>my_zero); + + wxi = setdiff(wxi,xi); + wni = setdiff(wni,ni); + + flati = intersect([xi;wxi],[ni;wni]); + xi = setdiff(xi,flati); + ni = setdiff(ni,flati); + wxi = setdiff(wxi,flati); + wni = setdiff(wni,flati); + + size_data = 200; + + show_flat = false; + + a = get(t,'Parent'); + hold on; + s = []; + s = [s(:);point(a,V(xi,:),[16 2 1]/16,size_data)]; + s = [s(:);point(a,V(wxi,:),[16 10 10]/16,size_data)]; + s = [s(:);point(a,V(ni,:),[1 2 16]/16,size_data)]; + s = [s(:);point(a,V(wni,:),[10 10 16]/16,size_data)]; + if show_flat + s = [s(:);point(a,V(flati,:),[16 16 10]/16,size_data)]; + end + hold off; +end diff --git a/matlab/external/gptoolbox/mesh/massmatrix.m b/matlab/external/gptoolbox/mesh/massmatrix.m new file mode 100644 index 0000000..16cbe0c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/massmatrix.m @@ -0,0 +1,164 @@ +function M = massmatrix(V,F, type) + % MASSMATRIX mass matrix for the mesh given by V and F + % + % M = massmatrix(V,F, type) + % M = massmatrix(V,T, type) + % + % Inputs: + % V #V x 3 matrix of vertex coordinates + % F #F x simplex-size matrix of indices of triangle corners + % type string containing type of mass matrix to compute + % 'full': full mass matrix for p.w. linear fem + % 'barycentric': diagonal lumped mass matrix obtained by summing 1/3 + % 'voronoi': true voronoi area, except in cases where triangle is obtuse + % then uses 1/2, 1/4, 1/4 {simplex size 3 only} + % Output: + % M #V by #V sparse mass matrix + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + + function r = cross2(a,b) + % Optimizes r = cross(a,b,2), that is it computes cross products per row + % Faster than cross if I know that I'm calling it correctly + r =[a(:,2).*b(:,3)-a(:,3).*b(:,2), ... + a(:,3).*b(:,1)-a(:,1).*b(:,3), ... + a(:,1).*b(:,2)-a(:,2).*b(:,1)]; + end + + % simplex size + ss = size(F,2); + if nargin<3 + switch ss + case 3 + type = 'voronoi'; + case 4 + type = 'barycentric'; + end + end + + switch ss + case 3 + % should change code below, so we don't need this transpose + if(size(F,1) == 3) + warning('F seems to be 3 by #F, it should be #F by 3'); + end + F = F'; + + % renaming indices of vertices of triangles for convenience + i1 = F(1,:); i2 = F(2,:); i3 = F(3,:); + % #F x 3 matrices of triangle edge vectors, named after opposite vertices + v1 = V(i3,:) - V(i2,:); v2 = V(i1,:) - V(i3,:); v3 = V(i2,:) - V(i1,:); + % computing the areas + if size(V,2) == 2 + % 2d vertex data + dblA = v1(:,1).*v2(:,2)-v1(:,2).*v2(:,1); + elseif size(V,2) == 3 + %n = cross(v1,v2,2); dblA = multinorm(n,2); + n = cross(v1,v2,2); + + % dblA = norm(n,2); + % This does correct l2 norm of rows + dblA = (sqrt(sum((n').^2)))'; + else + error('unsupported vertex dimension %d', size(V,2)) + end + if strcmp(type,'full') + % arrays for matrix assembly using 'sparse' + % indices and values of the element mass matrix entries in the order + % (1,2), (2,1),(2,3), (3,2), (3,1), (1,3) (1,1), (2,2), (3,3); + i = [i1 i2 i2 i3 i3 i1 i1 i2 i3]; + j = [i2 i1 i3 i2 i1 i3 i1 i2 i3]; + offd_v = dblA/24.; + diag_v = dblA/12.; + v = [offd_v,offd_v, offd_v,offd_v, offd_v,offd_v, diag_v,diag_v,diag_v]; + M = sparse(i,j,v,size(V,1), size(V,1)); + elseif strcmp(type,'barycentric') + % only diagonal elements + i = [i1 i2 i3]; + j = [i1 i2 i3]; + diag_v = dblA/6.; + v = [diag_v,diag_v,diag_v]; + M = sparse(i,j,v,size(V,1), size(V,1)); + elseif strcmp(type,'voronoi') + + % just ported version of intrinsic code + + % edges numbered same as opposite vertices + FT = F'; + l = [ ... + sqrt(sum((V(FT(:,2),:)-V(FT(:,3),:)).^2,2)) ... + sqrt(sum((V(FT(:,3),:)-V(FT(:,1),:)).^2,2)) ... + sqrt(sum((V(FT(:,1),:)-V(FT(:,2),:)).^2,2)) ... + ]; + M = massmatrix_intrinsic(l,F',size(V,1),'voronoi'); + else + error('bad mass matrix type') + end + + % warn if any rows are all zero (probably unreferenced vertices) + if(any(sum(M,2) == 0)) + warning('Some rows have all zeros... probably unreferenced vertices..'); + end + case 4 + % vertices must be defined in 3D + assert(size(V,2)==3); + + % should change code below, so we don't need this transpose + if(size(F,1) == 4) + warning('F seems to be 4 by #F, it should be #F by 4'); + end + + switch type + case 'full' + error('full not supported yet...') + case 'barycentric' + %a = V(F(:,1),:); + %b = V(F(:,2),:); + %c = V(F(:,3),:); + %d = V(F(:,4),:); + %% http://en.wikipedia.org/wiki/Tetrahedron#Volume + %% volume for each tetrahedron + %v = repmat(abs(dot((a-d),cross2(b-d,c-d),2))./6./4,1,4); + v = repmat(abs(volume(V,F)),1,4); + + % only diagonal elements + M = sparse(F(:),F(:),v/4,size(V,1),size(V,1)); + case 'voronoi' + pa = V(F(:,1),:); + pb = V(F(:,2),:); + pc = V(F(:,3),:); + pd = V(F(:,4),:); + % as if pd is the origin + a = pa-pd; + b = pb-pd; + c = pc-pd; + % circumcenter: + % http://en.wikipedia.org/wiki/Tetrahedron#More_vector_formulas_in_a_general_tetrahedron + cc = pd + bsxfun(@rdivide, ... + bsxfun(@times,sum(a.*a,2),cross2(b,c)) + ... + bsxfun(@times,sum(b.*b,2),cross2(c,a)) + ... + bsxfun(@times,sum(c.*c,2),cross2(a,b)), ... + 2*sum(a.*cross2(b,c),2)); + % get correct sign + sa = sign(sum((pa-pb).*cross2(pc-pb,pd-pb),2)/6); + sb = sign(sum((pb-pc).*cross2(pd-pc,pa-pc),2)/6); + sc = sign(sum((pc-pd).*cross2(pa-pd,pb-pd),2)/6); + sd = sign(sum((pd-pa).*cross2(pb-pa,pc-pa),2)/6); + % get area of sub-tet and correct sign + la = sa.*sum((cc-pb).*cross2(pc-pb,pd-pb),2)/6; + lb = sb.*sum((cc-pc).*cross2(pd-pc,pa-pc),2)/6; + lc = sc.*sum((cc-pd).*cross2(pa-pd,pb-pd),2)/6; + ld = sd.*sum((cc-pa).*cross2(pb-pa,pc-pa),2)/6; + v = abs(sum(a.*cross2(b,c),2)/6); + %max(abs((la+lb+lc+ld - v))) + assert(all((la+lb+lc+ld - v)<10*eps)); + % partial volumes attached to each corner + pv = [(lb+lc+ld)/3 (lc+ld+la)/3 (ld+la+lb)/3 (la+lb+lc)/3]; + M = sparse(F,F,pv,size(V,1),size(V,1)); + otherwise + error('bad mass matrix type') + end + + end +end diff --git a/matlab/external/gptoolbox/mesh/massmatrix3.m b/matlab/external/gptoolbox/mesh/massmatrix3.m new file mode 100644 index 0000000..8809a45 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/massmatrix3.m @@ -0,0 +1,25 @@ +function M = massmatrix3(V,T, type) + % MASSMATRIX3 mass matrix for the mesh given by V and F + % + % M = massmatrix3(V,T, type) + % + % + % Inputs: + % V #V x 3 matrix of vertex coordinates + % T #T x 4 matrix of indices of tetrahedral corners + % type string containing type of mass matrix to compute + % 'barycentric': diagonal lumped mass matrix obtained by summing 1/3 + % of volumes of surrounding tets + % Not yet supported: + % 'full': full mass matrix for p.w. linear fem + % 'voronoi' + % Output: + % M #V x #V matrix of cot weights + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also: massmatrix + % + warning('Deprecated. Call massmatrix directly'); + M = massmatrix(V,T,type); +end diff --git a/matlab/external/gptoolbox/mesh/massmatrix_embedded.m b/matlab/external/gptoolbox/mesh/massmatrix_embedded.m new file mode 100644 index 0000000..c7c7f38 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/massmatrix_embedded.m @@ -0,0 +1,39 @@ +function M = massmatrix_embedded(V,F, type) + % MASSMATRIX_EMBEDDED mass matrix for the mesh given by V and F embedded in + % size(V,2). This is a generalization of massmatrix and a wrapper for + % massmatrix_intrinsic + % + % M = massmatrix_embedded(V,F, type) + % + % Inputs: + % V #V x dim matrix of vertex coordinates + % F #F x 3 matrix of indices of triangle corners + % type string containing type of mass matrix to compute + % 'full': full mass matrix for p.w. linear fem + % 'barycentric': diagonal lumped mass matrix obtained by summing 1/3 + % 'voronoi': true voronoi area, except in cases where triangle is obtuse + % then uses 1/2, 1/4, 1/4 + % Output: + % M #V by #V sparse mass matrix + % + % Example: + % % (V,F) is a surface mesh in R^3 + % M = massmatrix(V,F,'voronoi'); + % Me = massmatrix_embedded(V,F,'voronoi'); + % % results should be the same up to floating point error + % max(max(abs(M-Me))) + % + % See also: massmatrix, massmatrix_intrinsic + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + + % edge lengths numbered same as opposite vertices + l = [ ... + sqrt(sum((V(F(:,2),:)-V(F(:,3),:)).^2,2)) ... + sqrt(sum((V(F(:,3),:)-V(F(:,1),:)).^2,2)) ... + sqrt(sum((V(F(:,1),:)-V(F(:,2),:)).^2,2)) ... + ]; + M = massmatrix_intrinsic(l,F,size(V,1),type); + +end diff --git a/matlab/external/gptoolbox/mesh/massmatrix_intrinsic.m b/matlab/external/gptoolbox/mesh/massmatrix_intrinsic.m new file mode 100644 index 0000000..885edfe --- /dev/null +++ b/matlab/external/gptoolbox/mesh/massmatrix_intrinsic.m @@ -0,0 +1,86 @@ +function [ M] = massmatrix_intrinsic(l,F,nvert,masstype) + % MASSMATRIX_INTRINSIC compute the mass matrix from edge lengths only + % + % [M] = massmatrix_intrinsic(l,F) + % + % Inputs: + % l: #F by 3, array of edge lengths of edges opposite each face in F + % F: #F by 3, list of indices of triangle corners + % nvert: number of vertices, only needed to set size + % masstype: full, barycentric, or voronoi + % TODO: this is almost identical to massmatrix, + % only the area computation is different, need to refactor + % + % here's a handy line to view mass matrix entries on plot: + % text(UV(:,1), UV(:,2),zeros(size(UV,1),1),num2str(M(M>0))) + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also: massmatrix + % + + % should change code below, so we don't need this transpose + if(size(F,1) == 3) + warning('F seems to be 3 by #F, it should be #F by 3'); + end + F = F'; + + % renaming indices of vertices of triangles for convenience + l1 = l(:,1); l2 = l(:,2); l3 = l(:,3); + % semiperimeters + s = (l1 + l2 + l3)*0.5; + % Heron's formula for area + dblA = 2*sqrt( s.*(s-l1).*(s-l2).*(s-l3)); + + % renaming indices of vertices of triangles for convenience + i1 = F(1,:); i2 = F(2,:); i3 = F(3,:); + + if strcmp(masstype,'full') + % arrays for matrix assembly using 'sparse' + % indices and values of the element mass matrix entries in the order + % (1,2), (2,1),(2,3), (3,2), (3,1), (1,3) (1,1), (2,2), (3,3); + i = [i1 i2 i2 i3 i3 i1 i1 i2 i3]; + j = [i2 i1 i3 i2 i1 i3 i1 i2 i3]; + offd_v = dblA/24.; + diag_v = dblA/12.; + v = [offd_v,offd_v, offd_v,offd_v, offd_v,offd_v, diag_v,diag_v,diag_v]; + elseif strcmp(masstype,'barycentric') + % only diagonal elements + i = [i1 i2 i3]; + j = [i1 i2 i3]; + diag_v = dblA/6.; + v = [diag_v,diag_v,diag_v]; + elseif strcmp(masstype,'voronoi') + cosines = [ ... + (l(:,3).^2+l(:,2).^2-l(:,1).^2)./(2*l(:,2).*l(:,3)), ... + (l(:,1).^2+l(:,3).^2-l(:,2).^2)./(2*l(:,1).*l(:,3)), ... + (l(:,1).^2+l(:,2).^2-l(:,3).^2)./(2*l(:,1).*l(:,2))]; + barycentric = cosines.*l; + normalized_barycentric = barycentric./ ... + [sum(barycentric')' sum(barycentric')' sum(barycentric')']; + areas = 0.25*sqrt( ... + (l(:,1) + l(:,2) - l(:,3)).* ... + (l(:,1) - l(:,2) + l(:,3)).* ... + (-l(:,1) + l(:,2) + l(:,3)).* ... + (l(:,1) + l(:,2) + l(:,3))); + partial_triangle_areas = normalized_barycentric.*[areas areas areas]; + quads = [ (partial_triangle_areas(:,2)+ partial_triangle_areas(:,3))*0.5 ... + (partial_triangle_areas(:,1)+ partial_triangle_areas(:,3))*0.5 ... + (partial_triangle_areas(:,1)+ partial_triangle_areas(:,2))*0.5]; + + quads(cosines(:,1)<0,:) = [areas(cosines(:,1)<0,:)*0.5, ... + areas(cosines(:,1)<0,:)*0.25, areas(cosines(:,1)<0,:)*0.25]; + quads(cosines(:,2)<0,:) = [areas(cosines(:,2)<0,:)*0.25, ... + areas(cosines(:,2)<0,:)*0.5, areas(cosines(:,2)<0,:)*0.25]; + quads(cosines(:,3)<0,:) = [areas(cosines(:,3)<0,:)*0.25, ... + areas(cosines(:,3)<0,:)*0.25, areas(cosines(:,3)<0,:)*0.5]; + + i = [i1 i2 i3]; + j = [i1 i2 i3]; + v = reshape(quads,size(quads,1)*3,1); + + else + error('bad mass matrix type') + end + M = sparse(i,j,v,nvert, nvert); +end diff --git a/matlab/external/gptoolbox/mesh/mean_value_laplacian.m b/matlab/external/gptoolbox/mesh/mean_value_laplacian.m new file mode 100644 index 0000000..975ed52 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/mean_value_laplacian.m @@ -0,0 +1,86 @@ +function L = mean_value_laplacian(V,F) + % MEAN_VALUE_LAPLACIAN Discrete laplacian using mean value weights. Notice + % that this laplacian will not be symmetric or positive semi-definite. + % + % L = mean_value_laplacian(V,F) + % + % Inputs: + % V: #V x dim matrix of vertex coordinates + % F: #F by 3, list of indices of triangle corners + % Outputs: + % L sparse nvert x nvert matrix of mean value weights + % + % See also: cotmatrix, wachspress_laplacian + + % number of vertices + n = size(V,1); + + % edge lengths numbered same as opposite vertices + l = [ ... + sqrt(sum((V(F(:,2),:)-V(F(:,3),:)).^2,2)) ... + sqrt(sum((V(F(:,3),:)-V(F(:,1),:)).^2,2)) ... + sqrt(sum((V(F(:,1),:)-V(F(:,2),:)).^2,2)) ... + ]; + + % should change code below, so we don't need this transpose + if(size(F,1) == 3 && size(F,2) ~= 3) + warning('F seems to be 3 by #F, it should be #F by 3'); + end + + % + % vj+1 + % / \ + % / \ + % /βij \ + % vi--------vj + % \αij / + % \ / + % \ / + % vj-1 + % + % + % Lij = tan(αij/2) + tan(βij/2) )/|vi -vj|^2 + + % http://en.wikipedia.org/wiki/Tangent_half-angle_formula + % tan(θ/2) = sin θ/(1+cos θ) + + % renaming indices of vertices of triangles for convenience + i1 = F(:,1); i2 = F(:,2); i3 = F(:,3); + l1 = l(:,1); l2 = l(:,2); l3 = l(:,3); + + % semiperimeters + s = (l1 + l2 + l3)*0.5; + % Heron's formula for area + dblA = 2*sqrt( s.*(s-l1).*(s-l2).*(s-l3)); + halftan12 = 2*dblA ./ (2*l1.*l2+l1.^2+l2.^2-l3.^2); + halftan23 = 2*dblA ./ (2*l2.*l3+l2.^2+l3.^2-l1.^2); + halftan31 = 2*dblA ./ (2*l3.*l1+l3.^2+l1.^2-l2.^2); + + % throw each angle at each edge entry + Li = [ ... + i1;i1;... + i2;i2;... + i3;i3;... + ]; + Lj = [ ... + i2;i3;... + i3;i1;... + i1;i2;... + ]; + % divide by edge lengths + Lv = [ ... + halftan23./(l3);halftan23./(l2);... + halftan31./(l1);halftan31./(l3);... + halftan12./(l2);halftan12./(l1);... + ]; + %Lv = [ ... + % halftan23;halftan23;... + % halftan31;halftan31;... + % halftan12;halftan12;... + % ]; + L = sparse(Li,Lj,Lv,n,n); + %% normalize weights + %L = bsxfun(@rdivide,L,sum(L,2)); + % set diagonal entries + L = L - diag(sum(L,2)); +end diff --git a/matlab/external/gptoolbox/mesh/mesh_boolean_winding_number.m b/matlab/external/gptoolbox/mesh/mesh_boolean_winding_number.m new file mode 100644 index 0000000..edeea95 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/mesh_boolean_winding_number.m @@ -0,0 +1,93 @@ +function [W,H,J] = mesh_boolean_winding_number(V,F,U,G,operation,varargin) + % MESH_BOOLEAN_WINDING_NUMBER Compute boolean csg operations on oriented + % meshes. Uses winding number to determine boolean extraction. This is + % theoretically prone to errors for "bad" intersections, but will handle + % "dirty" input meshes (e.g. open boundaries) to some degree. + % + % [W,H] = mesh_boolean(V,F,U,G,operation) + % + % Inputs: + % V #V by 3 list of vertex positions of first mesh + % F #F by 3 list of triangle indices into V + % U #U by 3 list of vertex positions of second mesh + % G #G by 3 list of triangle indices into U + % operation followed by operation to perform as a string, one of: 'union', + % 'intersect', 'minus', 'xor', or 'resolve' + % Optional: + % 'Thresholds' 2-long list of winding number cut offs to use to + % determine inside/outside: all faces of F (after intersection) with + % winding number w.r.t. (U,G) less than thresholds(1) are considered + % inside. + % Outputs: + % W #W by 3 list of vertex positions of boolean result mesh + % H #H by 3 list of triangle indices into W + % J #H list of indices into [FA;FB] of facet birth parents + % + % See also: mesh_boolean + % + + VU = [V;U]; + FG = [F;size(V,1)+G]; + [W,SFG,~,J,IM] = selfintersect(VU,FG); + [W,UIM] = remove_unreferenced(W,IM(SFG)); + SF = IM(SFG(J<=size(F,1),:)); + JF = J(J<=size(F,1)); + SG = IM(SFG(J>size(F,1),:)); + JG = J(J>size(F,1),:); + SF = UIM(SF); + SG = UIM(SG); + + th = [0.5 0.5]; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Thresholds'}, ... + {'th'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + A = barycenter(W,SF); + B = barycenter(W,SG); + wUGA = winding_number(U,G,A); + wVFB = winding_number(V,F,B); + switch operation + case 'union' + SF = SF(wUGA=th(1),:); + SG = SG(wVFB>=th(2),:); + JF = JF(wUGA>=th(1),:); + JG = JG(wVFB>=th(2),:); + case 'minus' + SF = SF(wUGA=th(2),:)); + JF = JF(wUGA=th(2),:); + case 'xor' + SF = [SF(wUGA=th(1),:))]; + SG = [SG(wVFB=th(2),:))]; + JF = [JF(wUGA=th(1),:)]; + JG = [JG(wVFB=th(2),:)]; + case 'resolve' + % Don't do anyting. Just snap vertices... + otherwise + error(['Unsupported operation: ' operation]); + end + % Combine meshes and map to unique vertices + H = [SF;SG]; + J = [JF;JG]; + [W,IM] = remove_unreferenced(W,H); + H = IM(H); +end diff --git a/matlab/external/gptoolbox/mesh/moebius_strip.m b/matlab/external/gptoolbox/mesh/moebius_strip.m new file mode 100644 index 0000000..e38e078 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/moebius_strip.m @@ -0,0 +1,29 @@ +function [V,F,UV] = moebius_strip(u,v) + % MOEBIUS_STRIP Generate a moebius strip + % + % Inputs: + % u Number of vertices in u direction + % v Number of vertices in v direction + % Outputs: + % V u*v by 3 list of vertex positions + % F #F by 3 list of faces + % UV u*v by 3 list of original UV coordinates + % + + + [UV,F] = create_regular_grid(u+1,v,0,0); + % Reparameterize along x + V = [(1-cos(UV(:,1)*pi))/2 UV(:,2)]; + % Twist once and smooth height + V = [ ... + 1-acos(V(:,1)*2-1)/pi ... + V(:,2).*V(:,1)+(1-V(:,2)).*(1-V(:,1)) ... + (1-cos(V(:,1)*2*pi))/2.*(0.5-V(:,2))]; + % Wrap around + V = [cos(V(:,1)*2*pi).*(2+V(:,2)) sin(V(:,1)*2*pi).*(2+V(:,2)) V(:,3)]; + I = 1:size(V,1); + I(u*v + (1:v)) = v:-1:1; + F = I(F); + V = V(1:u*v,:); + UV = UV(1:u*v,:); +end diff --git a/matlab/external/gptoolbox/mesh/monotonic_biharmonic.m b/matlab/external/gptoolbox/mesh/monotonic_biharmonic.m new file mode 100644 index 0000000..4af6a55 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/monotonic_biharmonic.m @@ -0,0 +1,406 @@ +function [W,f] = monotonic_biharmonic(varargin) + % MONOTONIC_BIHARMONIC Compute "monotonic biharmonic" coordinates, using + % quadratic programming optimization. Each weight funciton minimizes + % laplacian energy subject to monotonicity constraints taken from harmonic + % coordinates + % + % W = monotonic_biharmonic(V,F,b,bc,'ParameterName',ParameterValue) + % + % Inputs: + % V list of vertex positions + % F list of face indices, for 3D F is #F by 4, for 2D F is #F by 3 + % b list of boundary vertices + % bc list of boundary conditions, size(boundary) by # handles matrix of + % boundary conditions where bc(:,i) are the boundary conditions for the + % ith handle + % Optional: + % 'k' followed by integer, solve k-harmonic problem {2} + % 'QuadProgParam' followed by mosek param struct, see optimset. If not + % given then *some* default options are used + % 'MonotonicityGraph' followed A a #handles cell of #n by #n + % monotonicity graph (sparse adjacency matrix) with A{k}(i,j) != + % 0 if we want that W(i,k) <= W(j,k), default is to use graph + % from harmonic coordinates + % 'MonotonicityTGraph' followed AT a #handles cell of #F by #F set of + % constraints on triangle (averages) + % 'Data' followed by #W by #handles data term to be + % 'as-close-as-possible', {[]} + % 'DataWeight' follow by weight of Data energy term, {1} + % 'Algorithm' followed by solver name {'interior-point'}: + % 'interior-point' + % 'active-set' Alec's active set solver + % (min_quad_with_fixed_active_set) + % 'OptType' + % optimize using {'conic'} or 'quad' or 'legacy-quad' + % 'SubGraph' followed by true or false, whether to iteratively resolve + % using exponentially larger subgraphs of the monotonicity graph, + % {false} + % 'IterateConstraints' Iterate on monotonicity constraints + % 'ExtremaBC' Followed by bc to be used for computing monotonicitygraph + % 0 means min, 1 means max + % 'MaxIter' maximum number of iterations {inf} + % 'Quiet' followed by 'echo(0)' or '' to be quite or loud + % 'MonotonicityEpsilon' followed by epsilon used for enforcing + % monotonicity. {0} Increase this value if constraints are being + % violated. + % 'LEQScale' followed by scale applied to linear inequality constraints + % to help mosek know that our constraints are not to be violated {1000}. + % This is probably tied to the implicit scaling of the data and + % smoothness terms. Increase this value if constraints are being + % violated + % Output: + % W weights, # vertices by # handles matrix of weights + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also: boundary_conditions, biharmonic_bounded + % + + V = varargin{1}; + F = varargin{2}; + b = varargin{3}; + bc = varargin{4}; + + % number of vertices + n = size(V,1); + % number of handles + m = size(bc,2); + + % default options + k = 2; + algorithm = 'interior-point'; + opt_type = 'conic'; + subgraph = false; + iterate_constraints = false; + extrema_bc = bc; + max_iter = inf; + % check for mosek and set its parameters + [param,mosek_exists] = default_mosek_param(); + if mosek_exists + opt_type = 'conic'; + else + opt_type = 'legacy-quad'; + end + %param.MSK_DPAR_INTPNT_CO_TOL_PFEAS = 0; + %param.MSK_DPAR_INTPNT_CO_TOL_DFEAS = 0; + + S = []; + data_weight = 1; + A = {}; + AT = cell(m,1); + quiet = 'echo(0)'; + monotonicity_epsilon = 0; + leq_scale = 1; + + % parse optional inputs + ii = 5; + while(ii <= nargin) + switch varargin{ii} + case 'Quiet' + ii = ii + 1; + assert(ii<=nargin); + quiet = varargin{ii}; + case 'MonotonicityGraph' + ii = ii + 1; + assert(ii<=nargin); + A = varargin{ii}; + case 'MonotonicityTGraph' + ii = ii + 1; + assert(ii<=nargin); + AT = varargin{ii}; + case 'Data' + ii = ii + 1; + assert(ii<=nargin); + S = varargin{ii}; + case 'DataWeight' + ii = ii + 1; + assert(ii<=nargin); + data_weight = varargin{ii}; + case 'k' + ii = ii + 1; + assert(ii<=nargin); + k = varargin{ii}; + case 'QuadProgParam' + ii = ii + 1; + assert(ii<=nargin); + param = varargin{ii}; + case 'Algorithm' + ii = ii + 1; + assert(ii<=nargin); + algorithm = varargin{ii}; + case 'OptType' + ii = ii + 1; + assert(ii<=nargin); + opt_type = varargin{ii}; + case 'SubGraph' + ii = ii + 1; + assert(ii<=nargin); + subgraph = varargin{ii}; + case 'IterateConstraints' + ii = ii + 1; + assert(ii<=nargin); + iterate_constraints = varargin{ii}; + case 'ExtremaBC' + ii = ii + 1; + assert(ii<=nargin); + extrema_bc = varargin{ii}; + case 'MaxIter' + ii = ii + 1; + assert(ii<=nargin); + max_iter = varargin{ii}; + case 'MonotonicityEpsilon' + ii = ii + 1; + assert(ii<=nargin); + monotonicity_epsilon = varargin{ii}; + case 'LEQScale' + ii = ii + 1; + assert(ii<=nargin); + leq_scale = varargin{ii}; + otherwise + error(['Unsupported parameter: ' varargin{ii}]); + end + ii = ii+1; + end + + % Build discrete laplacian and mass matrices used by all handles' solves + if(size(F,2)==4) + fprintf('Solving over volume...\n'); + L = cotmatrix3(V,F); + M = massmatrix3(V,F,'barycentric'); + % Build pieces of sqrt(L) for odd powers + if mod(k,2) ~= 0 + % area is really volume + dblA = abs(volume(V,F)); + TA = repdiag(diag(sparse(dblA)),size(V,2)); + G = grad3(V,F); + end + else + L = cotmatrix_embedded(V,F); + M = massmatrix_embedded(V,F,'voronoi'); + % Build pieces of sqrt(L) for odd powers + if mod(k,2) ~= 0 + dblA = doublearea(V,F); + TA = repdiag(diag(sparse(dblA)/2),size(V,2)); + G = grad(V,F); + end + end + % Normalize mass matrix (important!) + M = M./max(abs(diag(M))); + + % build quadratic coefficient matrix (bilaplacian operator) + switch opt_type + case 'legacy-quad' + Q = -L; + % Construct quadratic coefficients matrix + for ii = 2:k + Q = -L*(M\Q); + end + % Symmetrize for high-order + if k >= 3 + Q = (Q+Q')*0.5; + end + save('mbQ.mat','Q'); + case {'quad','conic'} + % build possibly (odd k) rectangular sqrt of quadratic coefficient matrix + if mod(k,2)==0 + FF = -L; + FFstr = '-L'; + % even k + for ii = 2:(k/2) + FF = -L*(M\FF); + FFstr = ['-L(M\' FFstr ')']; + end + FF = sqrt(M)\FF; + FFstr = ['sqrt(M)\(' FFstr ')']; + else + % odd k + FF = speye(n,n); + FFstr = ''; + for ii = 1:((k-1)/2) + FF = M\(-L*FF); + FFstr = ['M\(-L ' FFstr ')']; + end + FF = sqrt(TA)*G*FF; + FFstr = ['sqrt(TA)G(' FFstr ')']; + end + otherwise + error(['Unsupported OptType: ' opt_type]); + end + + % No linear terms + l = zeros(n,m); + + if ~isempty(S) + % build quadratic and linear data term + if numel(data_weight) == 1 + data_weight = repmat(data_weight,n,1); + end + % L2 norm scaling + data_scale = 1/sqrt(sum(S(:).^2)); + switch opt_type + case 'legacy-quad' + % Mosek assumes quadratic terms will be multiplied by 1/2 + Q = Q+2*data_scale*diag(sparse(data_weight)); + case {'quad','conic'} + FF = [FF;diag(sqrt(2)*sparse(sqrt(data_scale*data_weight)))]; + end + l = bsxfun(@plus,l,-2*bsxfun(@times,data_scale*data_weight,S)); + end + + if isempty(A) + % initial monotonic guess + assert(all(extrema_bc(:)==0 | extrema_bc(:)==1)); + WH = kharmonic(V,F,b,extrema_bc); + A = cell(m,1); + % loop over handles + for i = 1:m + A{i} = monotonicity_matrix(WH(:,i),F,'OneInOneOut',true,'EnforceExtrema',true); + end + elseif isnumeric(A) + assert(~iterate_constraints); + A = {A}; + end + if isnumeric(AT) + AT = {AT}; + end + + tic; + % loop over handles + for i = 1:m + iter = 1; + fullgraph = false; + while(iter <= max_iter) + Ai = A{i}; + ATi = AT{i}; + % Unpublished idea to only enforce some subset of the constraints, you + % may safely ignore this section + if subgraph + assert(isempty(ATi)); + [AiI,AiJ,AiV] = find(Ai); + step_base = 2; + num_edges = round(step_base^(1.1*(iter+1))-1); + if num_edges < numel(AiI) + fprintf('Num edges in subgraph: %d\n',num_edges); + randorder = randperm(numel(AiI)); + sel = randorder(1:num_edges); + Ai = sparse(AiI(sel),AiJ(sel),AiV(sel),size(Ai,1),size(Ai,2)); + else + num_edges = numel(AiI); + fprintf('Num edges in fullgraph: %d\n',numel(AiI)); + fullgraph = true; + end + end + % monotonicity constraints, as less than or equals constraints + [Aleq,ATleq] = inequality_constraints_from_graphs(F,Ai,ATi); + Aleq = [Aleq;ATleq]; + nleq = size(Aleq,1); + bleq = zeros(nleq,1); + + % boundary conditions + Aeq = speye(n,n); + Aeq = Aeq(b,:); + + % Optimize according to algorithm and opt_type choice + switch algorithm + case 'interior-point' + % Constant bounds seem to help performance + lx = min(bc(:,i))*ones(n,1); + ux = max(bc(:,i))*ones(n,1); + switch opt_type + case 'legacy-quad' + if(mosek_exists) + fprintf('Quadratic optimization using mosek...\n'); + else + fprintf('Quadratic optimization using matlab...\n'); + end + fprintf( [ ... + ' minimize: x''LM\\Lx\n' ... + 'subject to: xi <= xj, ???j, j parent to i\n' ]); + [x,fval,err] = quadprog(Q,l(:,i),leq_scale*Aleq,-monotonicity_epsilon+leq_scale*bleq, ... + Aeq,bc(:,i),lx,ux,[],param); + if(err ~= 1) + fprintf([... + '----------------------------------------------------------\n' ... + 'ERROR (' num2str(err) ',' num2str(fval) '):' ... + ' solution may be inaccurate...\n' ... + '----------------------------------------------------------\n' ... + ]); + end + case {'quad','conic'} + fprintf( [ ... + ' minimize: ||Fx||^2\n' ... + 'subject to: xi <= xj, ???j, j parent to i\n' ]); + [x,f] = conic( ... + FF,l(:,i), ... + [],[], ... + leq_scale*Aleq,-monotonicity_epsilon+leq_scale*bleq, ... + lx,ux, ... + b,bc(:,i), ... + 'Param',param, ... + 'Quiet',quiet, ... + 'OptType',opt_type); + end + % number of violated constraints + diffleq = Aleq*x - bleq; + vc = sum(diffleq>=0); + if vc>0 + warning(['%d violated constraints, ' ... + 'try increasing MonotonicityEpsilon by max violation: +%g ' ... + 'or increasing LEQScale '], ... + vc,max(diffleq(diffleq>0))); + end + % Unpublished home-brewed active set solver, likely this will not work. + % Safe to ignore + case 'active-set' + fprintf('Quadratic optimization using active set...\n'); + [x,preF] = min_quad_with_fixed_active_set(Q,zeros(n,1),b,bc(:,i),[],[],[],[]); + otherwise + error(['Unsupported algorithm type: ''' algorithm '''']); + end + % set weights to solution in weight matrix + W(:,i) = x(1:n); + fprintf('Lap time: %gs\n',toc); + + if ~subgraph && ~iterate_constraints + break; + elseif subgraph + % Again, unpublished and safe to ignore this section + if size(V,2) == 2 + Z = W(:,i); + else + Z = V(:,3); + end + t = trisurf(F,V(:,1),V(:,2),Z,'FaceLighting','phong','FaceColor','interp','CData',W(:,i),'EdgeColor','none'); + colormap(jet(20)); + mes = mark_extrema(t,W(:,i)); + drawnow; + if max_iter == inf + %input(['iter: ' num2str(iter)]); + end + elseif iterate_constraints + % Rebuild constraints based on previous solution + A{i} = monotonicity_matrix(W(:,i),F,'OneInOneOut',true,'EnforceExtrema',true); + if max_iter == inf + %input(['iter: ' num2str(iter)]); + end + end + + % Unpublished, safe to ignore + if fullgraph + break; + end + + % Unpublished, safe to ignore + if iter == max_iter + fprintf('Reached maximum iterations (%d) with convergence\n',max_iter); + break; + end + iter = iter + 1; + end + end + t = toc; + % Print some time information + fprintf('Total elapsed time: %gs\n',t); + fprintf('Average time per handle: %gs\n',t/m); + +end diff --git a/matlab/external/gptoolbox/mesh/monotonicity_matrix.m b/matlab/external/gptoolbox/mesh/monotonicity_matrix.m new file mode 100644 index 0000000..9be0817 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/monotonicity_matrix.m @@ -0,0 +1,138 @@ +function A = monotonicity_matrix(S,F,varargin) + % MONOTONICITY_MATRIX Computes a "monotonicity adjacency matrix" which + % describes the directed acyclic "monotonicity graph" of "Topology-based + % Smoothing of 2D Scalar Fields with C1-Continuity" by [Weinkauf, Gingold and + % Sorkine 2010] + % + % A = monotonicity_matrix(S,F,'ParameterName',ParameterValue) + % + % Inputs: + % S #V by 1 list of scalar values defined over (V,F) + % F #F by 3 list of triangles indices + % Optional: + % 'OneInOneOut' followed by bool controlling whether to limit graph to + % have only at least one graph edge coming and one out of each vertex, + % {false} + % 'OneInOneOutPolicy' followed by: + % {'max'} use max difference to add two edges per vertex + % 'min' use min difference to add two edges per vertex + % 'strict' like max but then go through and greedily remove weakest + % edges that are superfluous (vertices on either side already have + % one in one out without this edge) + % 'EnforceExtrema' followed by whether to explicitly enforce all extrema + % Outputs: + % A sparse #V by #V matrix where A(i,j) is zero unless j ∈ N(i) and S(j) > + % S(i). That is, A(i,j) reveals "parents" where a parent is connected by a + % directed edge that points down in terms of S. (A node may have multiple + % parents, but there will be no cycles). In that case A(i,j) = + % S(j)-S(i) + % + % See also: adjacency_matrix + % + + % mandatory inputs + n = size(S,1); + enforce_extrema = true; + + % default options + one_in_one_out = false; + policy = 'max'; + % parse optional inputs + ii = 1; + while(ii <= numel(varargin)) + switch varargin{ii} + case 'OneInOneOut' + ii = ii + 1; + assert(ii<=numel(varargin)); + one_in_one_out = varargin{ii}; + case 'OneInOneOutPolicy' + ii = ii + 1; + assert(ii<=numel(varargin)); + policy = varargin{ii}; + case 'EnforceExtrema' + ii = ii + 1; + assert(ii<=numel(varargin)); + enforce_extrema = varargin{ii}; + otherwise + error(['Unknown input param: ''' varargin{ii} '''']); + end + ii = ii+1; + end + + + if size(F,2) > 2 + E = edges(F); + else + E = F; + end + % get both directions + E = [E;fliplr(E)]; + + A = cell(size(S,2),1); + for ii = 1:size(S,2) + A{ii} = sparse( ... + E(:,1), ... + E(:,2), ... + (S(E(:,1),ii)0,:); + % [CV,I] = remove_unreferenced(DV,CEle); + % CEle = I(CEle); + % % Accordingly oriented boundary faces + % CF = boundary_faces(CEle); + % % Visualize solution + % medit(CV,CEle,CF); + % + % + + already_clean = false; + v = 1; + while v <= numel(varargin) + switch varargin{v} + case 'AlreadyClean' + assert((v+1)<=numel(varargin)); + v = v+1; + already_clean = v; + otherwise + error(sprintf('Unsupported input parameter "%s"',varargin{v})); + end + v = v+1; + end + + % simplex size + dim = size(F,2); + % Facet areas + switch dim + case 3 + if already_clean + SV = V; + SF = F; + else + % print some statistics + statistics(V,F) + % Clean up mesh for TetGen + [SV,SF,SVJ] = clean(V,F, ... + 'MinDist',1e-6,'MinAngle',-1,'MinArea',-1,'SelfIntersections','mesh'); + end + % Use TetGen to mesh CDT + [DV,DEle,DF,DN] = cdt(SV,SF,'TetgenFlags','-Y','UseBoundingBox',true,'BoundingBoxUpsample',10,'BoundingBoxPush',3); + allF = [ ... + DEle(:,[2 3 4]); ... + DEle(:,[3 4 1]); ... + DEle(:,[4 1 2]); ... + DEle(:,[1 2 3])]; + A = reshape(doublearea(DV,allF),size(DEle)); + case 2 + %[DV,DEle,DF,DN] = cdt(V,F,'TriangleFlags','-Y','UseBoundingBox',true); + [DV,DEle,DF,DN] = cdt(V,F,'TriangleFlags','-q31','UseBoundingBox',true, ... + 'BoundingBoxPush',1.1); + [DV,DEle,DF,DN] = cdt(V,F, ... + 'TriangleFlags',sprintf('-q32 -a%f',mean(doublearea(DV,DEle))/8), ... + 'UseBoundingBox',true, ... + 'BoundingBoxPush',1.1); + allF = [ ... + DEle(:,[2 3]); ... + DEle(:,[3 1]); ... + DEle(:,[1 2]);]; + A = reshape(sqrt(sum((DV(allF(:,1),:)-DV(allF(:,2),:)).^2,2)),size(DEle)); + end + % Union of DF == SF + [I] = in_elements(DF,DEle); + assert(all(I)); + % Which faces of allF are in SF + inSF = ismember(sort(allF,2),sort(DF,2),'rows'); + % si = (∑j (tij - oij) sj) / Ai + % 0 = (∑j (tij - oij) sj) / Ai - si + % 0 = (∑j (tij - oij) sj - aij si) / Ai + % : tij + oij = aij + % tij - oij = aij - 2*oij + % 0 = (∑j (aij - 2*oij) sj - aij si) / Ai + % 0 = (∑j (aij - 2*oij) sj - (aij - 2*oij + 2*oij) si) / Ai + % 0 = (∑j (aij - 2*oij) sj - (aij - 2*oij) si - (2*oij) si) / Ai + % 0 = (∑j (aij - 2*oij) (sj - si) - 2*oij si) / Ai + % 0 = (∑j (aij - 2*oij) (sj - si))/ Ai - si ∑ 2*oij / Ai + % 0 = (∑j (tij - oij) (sj - si))/ Ai - si ∑ 2*oij / Ai + % + % (L - D) * s = 0 + % + % Where L is area-weighted laplacian and D is a area-weighted diagonal + % + % 0 = 1/Ai * ( (∑j (tij - oij) (sj - si)) - si ∑ 2*oij) + % + % IA * (L - D) * s = 0 + % + % Where L is area-weighted laplacian and D is a area-weighted diagonal, IA is + % a diagonal matrix with 1/Ai. + % + % So it's like a Laplacian minus a positive diagonal. + %warning('uniform'); + %A(:) = 1; + T = reshape(A,size(DEle,1)*(dim+1),1); + O = reshape(A,size(DEle,1)*(dim+1),1); + T(inSF) = 0; + O(~inSF) = 0; + Ai = A; + Ai(DN==-1) = 0; + Ai = sum(Ai,2); + % Ai si + (∑j (oij - tij) sj) = 0 + % Mii = Ai + % Mij = oij - tij + % off-diagonal then diagonal + MI = repmat(1:size(DEle,1),1,(dim+1)+1)'; + MJ = [DN(:);(1:size(DEle,1))']; + MV = [O(:) - T(:);Ai(:)]; + %MV = [-A(:);Ai(:)]; + M = sparse(MI(MJ>0),MJ(MJ>0),MV(MJ>0), size(DEle,1),size(DEle,1)); + assert(max(max(abs(M-M')))<1e-10); + + % Fix boundary elements whose boundary facet is not original to outside + [~,BC] = on_boundary(DEle); + b = find(any(BC>0,2) & ~any(BC>0 & reshape(inSF,size(DEle)),2)); + in = setdiff(1:size(DEle,1),b); + % Solve + [L,p,P] = chol(M(in,in),'lower'); + S = zeros(size(DEle,1),1); + S(b) = -1; + S(in) = P * (L' \ (L \ ( P' * (-M(in,b) * S(b))))); + + %switch dim + %case 3 + % medit(DV,DEle,boundary_faces(DEle),'Data',S) + %case 2 + % set(tsurf(DEle,DV),'CData',S); + % %colormap(jet(ceil(max(S)-min(S)))); + % colormap(jet(256)); + % axis equal + % colorbar + %end + +end diff --git a/matlab/external/gptoolbox/mesh/mvc.m b/matlab/external/gptoolbox/mesh/mvc.m new file mode 100644 index 0000000..02cacb8 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/mvc.m @@ -0,0 +1,129 @@ +function [lambda,W,tan_W] = mvc(V,C) + % MVC - MEAN VALUE COORDINATES according to "Mean Value Coordinates" Floater + % 2003 Equation 2.1 + % + % [lambda,W] = mvc(V,C) + % + % Inputs: + % V list of vertex positions + % C list of polygon vertex positions (in counter-clockwise order) + % + % Outputs: + % lambda weights, # vertices by # handles matrix of weights + % W weights before normalization, # vertices by # handles matrix of weights + % + % + + % at least three control points + assert(size(C,1)>2); + VV = []; + + % get indices to corners and prev and next + I = 1:size(C,1); + prev_I = mod(I-1+size(C,1)-1,size(C,1))+1; + next_I = mod(I,size(C,1))+1; + + % check if either are 3D but really all z's are 0 + V_flat = size(V,2) == 3 && (sqrt(sum(V(:,3).^2)) < 1e-10); + C_flat = size(C,2) == 3 && (sqrt(sum(C(:,3).^2)) < 1e-10); + % is both are essentially 2D then ignore z-coords + if((size(C,2) == 2 || C_flat) && (size(V,2) == 2 || C_flat)) + % ignore z coordinate + V = V(:,1:2); + C = C(:,1:2); + else + % give dummy z coordinate to either mesh or poly + if(size(V,2) == 2) + V = [V zeros(size(V,1),1)]; + end + if(size(C,2) == 2) + C = [C zeros(size(C,1),1)]; + end + + % check that C is planar + % average normal around poly corners + normals = cross(C(next_I,:)-C(I,:),C(prev_I,:)-C(I,:),2); + n = mean(normals); + % normalize n + n = n./repmat(norm(n),1,3); + % take centroid as point on plane + p = mean(C); + dist_to_plane = dot(repmat(n,size(C,1),1),C-repmat(p,size(C,1),1),2); + % check that poly is really coplanar + % This assert is biaised since a poly with more vertices will hit the threshold just by summing numerical errors +% assert(sqrt(sum(dist_to_plane.^2))<1e-5); + dist_to_plane = dot(repmat(n,size(V,1),1),V-repmat(p,size(V,1),1),2); + % check that poly is really coplanar + if(sqrt(sum(dist_to_plane.^2))>1e-6) + warning('Distance from V to plane of C is large...\n'); + end + + % change of basis + b1 = C(2,:)-C(1,:); + b2 = cross(n,b1); + basis = [b1;b2;n]; + % normalize basis rows + basis = (basis./repmat(sqrt(sum(basis.^2,2)),1,3)); + % change basis of rows vectors by right multiplying with inverse of matrix + % with basis vectors as rows + V = V/basis; + C = C/basis; + + % Throw away coordinates in normal direction + V = V(:,1:2); + C = C(:,1:2); + end + + % vectors from V to every C, where CmV(i,j,:) is the vector from domain + % vertex j to handle i + CmV = ... + permute( ... + permute(repmat(C,[1,1,size(V,1)]),[3,2,1]) - ... + repmat(V,[1,1,size(C,1)]),[3,1,2]); + % distance from V to every C, where dist_C_V(i,j) is the distance from domain + % vertex j to handle i + dist_C_V = sqrt(sum(CmV.^2,3)); + % distance from each corner in C to the next corner so that edge_length(i) + % is the distance from C(i,:) to C(i+1,:) defined cyclically + edge_length = sqrt(sum((C - C([2:end 1],:)).^2,2)); + + + a_prev = ... + atan2(CmV(prev_I,:,2),CmV(prev_I,:,1)) - atan2(CmV(I,:,2),CmV(I,:,1)); + a_next = a_prev(next_I,:); + + % mean value coordinates + tan_W = (tan(a_prev/2.0) + tan(a_next/2.0)); + W = tan_W ./ dist_C_V; + + % handle degenerate cases + EPSILON = 1e-10; + % snap vertices close to corners + on_corner = dist_C_V < EPSILON; + W(:,sum(on_corner,1)==1) = 0; + W(on_corner) = 1; + + % snap vertices close to segments + % repmat segments lengths by number of domain vertices (edge length seen by + % each vertex in domain) so that edge_length_V(i,:) = segment length on poly + % from i to i+1 + edge_length_V = repmat(edge_length,1,size(V,1)); + % domain vertex j is on the segment from i to i+1 if the distances from vj to + % pi and pi+1 are about + on_segment = ... + abs((dist_C_V + dist_C_V(next_I,:) ./ edge_length_V) - 1) < EPSILON; + % should only be on one segment (otherwise must be on a corner and we already + % handled that + on_segment = on_segment & repmat(sum(on_segment,1)==1,size(C,1),1); + W(:,sum(on_segment,1)==1) = 0; + W(on_segment) = dist_C_V(on_segment(prev_I,:)); + W(on_segment(prev_I,:)) = dist_C_V(on_segment); + + % normalize W + lambda = W./repmat(sum(W,1),size(C,1),1); + + % we've made W transpose + W = W'; + tan_W = tan_W'; + lambda = lambda'; +end diff --git a/matlab/external/gptoolbox/mesh/natural_neighbor.m b/matlab/external/gptoolbox/mesh/natural_neighbor.m new file mode 100644 index 0000000..5659c97 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/natural_neighbor.m @@ -0,0 +1,53 @@ +function [W] = natural_neighbor(V,C) + % NATURAL_NEIGHBOR computes Sibson's AKA natural neighbor coordinates at + % points in V for controls (samples) C + % + % [W] = natural_neighbor(V,C) + % + % Inputs: + % V #V by 2 list of domain positions + % C #C by 2 list of control positions + % + % Output: + % W #V by #C list of natural neighbor coordinates + % + + % number of domain points + n = size(V,1); + % number of original samples + m = size(C,1); + assert(size(V,2) == 2); + assert(size(V,2) == size(C,2)); + + % large number + E = 1e10*max(abs(V(:))); + % enclose samples with ghost points + %G = [-E -E; -E E; E -E; E E; E 0;0 E;-E 0; 0 -E]; + ng = 10*m; + theta = linspace(0,2*pi,ng+1)'; + theta = theta(1:(end-1)); + G = E.*[cos(theta) sin(theta)]; + + % append ghost points to samples + C = [C;G]; + + % create delaunay triangulation of samples and ghost points + DT = DelaunayTri(C); + triplot(DT) + + W = zeros(n,size(C,1)); + % compute natural neighbor interpolation for each control point + for ii = 1:size(C,1) + progressbar(ii,size(C,1)); + % function value + b = zeros(size(C,1),1); + b(ii) = 1; + % create interpolation table + Fnat = TriScatteredInterp(DT,b,'natural'); + W(:,ii) = Fnat(V(:,1),V(:,2)); + end + % only keep coordinate for true samples + W = W(:,1:m); + % renormalize + W = W./repmat(sum(W,2),1,m); +end diff --git a/matlab/external/gptoolbox/mesh/near_mesh.m b/matlab/external/gptoolbox/mesh/near_mesh.m new file mode 100644 index 0000000..ebb4a5c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/near_mesh.m @@ -0,0 +1,68 @@ +function [near,in,on,B,L] = near_mesh(V,F,Q,epsilon) + % NEAR_MESH test whether a list of points are in or near a given mesh + % + % [near] = near_mesh(V,F,Q) + % [near,in,on,B,L] = near_mesh(V,F,Q) + % + % Inputs: + % V #V by dim list of vertex positions + % F #F by 3 list of face indices + % Q #Q by dim list of query points + % epsilon minium distance allowed after collapses are complete, default is to + % use fraction of maximum edge length + % Outputs: + % near #Q list of flags revealing whether queries are near (V,F) + % in #Q list of flags revealing whether queries are in (V,F) + % on #Q list of flags revealing whether queries are on boundary of (V,F) + % B #B by 1 list of mesh outline edges + % L #loops+1 by 1 list of boundary loop start indices into B, the last + % entries is (by tradition) always the numel of B + 1 + % + % See in_mesh, inpolygon + % + + if ~exist('epsilon','var') || isempty(epsilon) + EE = edges(F); + % maximum edge length + %maxD = max(sqrt(sum((V(EE(:,1),:) - V(EE(:,2),:)).^2,2))); + minD = min(sqrt(sum((V(EE(:,1),:) - V(EE(:,2),:)).^2,2))); + epsilon = minD/2; + end + + dim = size(V,2); + % only works in 2D + assert(dim == 2); + + % first determine points strictly in or on mesh + [in,on,B,L] = in_mesh(V,F,Q); + + % avoid sqrts + sqr_eps = epsilon.^2; + + % boundary edges + BE = [B; B(2:end) B(1)]'; + % compute projection of each point to each boundary line segment + [T,sqrD] = project_to_lines(Q,V(BE(:,1),:),V(BE(:,2),:)); + % each vertex seen by each edge + QBE = repmat(Q,[1 1 size(BE,1)]); + % edge start positions + S = V(BE(:,1),:); + % edge destination positions + D = V(BE(:,2),:); + % distance of each point to each edge start + sqrDS = ... + squeeze(sum((QBE - permute(repmat(S,[1 1 size(Q,1)]),[3 2 1])).^2,2)); + % distance of each point to each edge dest + sqrDD = ... + squeeze(sum((QBE - permute(repmat(D,[1 1 size(Q,1)]),[3 2 1])).^2,2)); + % replace distances to edges when point is closest to start or dest endpoints + % respectively + sqrD(T<0) = sqrDS(T<0); + sqrD(T>1) = sqrDD(T>1); + % compute minimum distance to boundary + [minD] = min(sqrD,[],2); + % mask telling whether closest point for each edge is close enough + near = minD, as \sum_i +% = = \sum_i gradx_i dot t_ij = = (Nu +% gradx_u + Nv gradx_v)_j, where phi_i are hats on the boundary and t_ij +% are outward perpendiculars to the boundary edges +% +% See also: hds + + % indices of tails and tips of boundary edges + % TODO should not be here + layers = mmesh.layers; + interior = mmesh.interior; + layershe = mmesh.layershe; + N0 = layers{nlayers}; + N0he = layershe{nlayers}; + tails = mmesh.tail(N0he)'; + tips = mmesh.tip(N0he)'; + p1 = V(tails,:); p2 = V(tips,:); + e = p2-p1; + + eperp = [e(:,2),-e(:,1)]; + % indices for nonzero entries + % per element 2x2 matrix, with indices tail, tip in each dimension + i = [tails tips tips tails]; + j = [tips tails tips tails]; + % if (i,j) is a boundary edge with perp tij = [tij_x,tij_y], Nx(i,j) = tij_x/6 + % similarly Ny(i,j) = tij_y/6 + % and diag entries are tij_x/3 + tik/3, where j and k are vertices + % adjacent to i + val_u = [eperp(:,1)/6.0, eperp(:,1)/6.0, eperp(:,1)/3.0, eperp(:,1)/3.0]; + val_v = [eperp(:,2)/6.0, eperp(:,2)/6.0, eperp(:,2)/3.0, eperp(:,2)/3.0]; + Nu = sparse(i,j,val_u, mmesh.nvert, mmesh.nvert); + Nv = sparse(i,j,val_v, mmesh.nvert, mmesh.nvert); +end + diff --git a/matlab/external/gptoolbox/mesh/nonmanifold_edges.m b/matlab/external/gptoolbox/mesh/nonmanifold_edges.m new file mode 100644 index 0000000..8e1537b --- /dev/null +++ b/matlab/external/gptoolbox/mesh/nonmanifold_edges.m @@ -0,0 +1,21 @@ +function [E,C] = nonmanifold_edges(F) + % NONMANIFOLD_EDGES List of non-manifold edges + % + % Inputs: + % F #F by dim=3 list of facet indices + % Outputs: + % E #E by 2 list of nonmanifold edges + % C #E by 1 list of unsigned Counts (>2) + % %pC #E by 1 list of positive Counts + % %nC #E by 1 list of negative Counts + % + + allE = [F(:,[2 3]); F(:,[3 1]); F(:,[1 2])]; + sortallE = sort(allE,2); + sC = sparse(sortallE(:,1),sortallE(:,2),(allE(:,1)2 | abs(sC)>1).* C); + E = [EI EJ]; +end diff --git a/matlab/external/gptoolbox/mesh/normal_derivative.m b/matlab/external/gptoolbox/mesh/normal_derivative.m new file mode 100644 index 0000000..019bc89 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/normal_derivative.m @@ -0,0 +1,114 @@ +function [DD,E,N] = normal_derivative(V,F) + % NORMAL_DERIVATIVE Computes the directional derivative **normal** to **all** + % (half-)edges of a triangle mesh (not just boundary edges). These are + % integrated along the edge: they're the per-face constant gradient dot the + % rotated edge vector (unit rotated edge vector for direction then magnitude + % for integration). + % + % DD = normal_derivative(V,F) + % [DD,E,N] = normal_derivative(V,F) + % + % Inputs: + % V #V by dim list of mesh vertex positions + % F #F by 3 list of triangle indices into V + % Outputs: + % DD #F*3 by #V sparse matrix representing operator to compute directional + % derivative with respect to each edge of each face. All edges 23 then all + % 31 then all 12 + % E #F*3 by 2 list of edge vectors matching DD and N + % N #F*3 by dim vectors perpendicular to edge vectors + % + % Example: + % [DD,E,N] = normal_derivative(V,F); + % % normalize and Divide by lengths again to account for integral averaging + % UN = bsxfun(@rdivide,N,normrow(N).^2); + % [~,C] = on_boundary(F); + % EBC = 0.5*(V(E(:,1),:)+V(E(:,2),:)); + % % Treat X-coordinate as scalar field + % X = V(:,1); + % DDX = bsxfun(@times,(DD*X),UN); + % tsurf(F,V,'CData',X,fphong,'EdgeColor','none'); + % colormap(jet(20)) + % axis equal + % view(2) + % hold on; + % quiver(EBC(C,1),EBC(C,2),DDX(C,1),DDX(C,2),0.2, ... + % 'k','LineWidth',2) + % hold off; + % title('Integral average normal derivative','FontSize',20); + + + dim = size(V,2); + + ss = size(F,2); + switch ss + case 4 + % Elements are really tets + T = F; + % 23,31,12,41,42,43 + C = cotangent(V,T); + % -1/1 point to/from vertex on "this edge" + F = [T(:,[2 3 4]);T(:,[1 4 3]);T(:,[1 2 4]);T(:,[1 3 2])]; + m = size(T,1); + DD = 2*sparse( ... + reshape(bsxfun(@plus,repmat(1:m,1,6)',m*(0:4-1)),m,6*4), ... + T(:,[2 1 3 1 4 1,3 2 4 2 1 2,4 3 1 3 2 3,1 4 2 4 3 4]), ... + C(:,[3 3 2 2 4 4,1 1 5 5 3 3,6 6 2 2 1 1,4 4 5 5 6 6])* ... + diag(repmat([1,-1],1,3*4)), ... + m*4,size(V,1)); + E = F; + %% REFERENCE VERSION: + %% gradient for each tetrahedron + %G = grad(V,F); + %% edges + %E = [F(:,[2 3 4]);F(:,[1 4 3]);F(:,[1 2 4]);F(:,[1 3 2])]; + %% un-normalized normals + %N = normals(V,E); + %V = V(:,1:dim); + %DD = sparse( ... + % repmat(1:size(E,1),1,dim)', ... + % reshape(bsxfun(@plus, ... + % repmat(1:size(F,1),1,4)', ... + % (0:dim-1)*size(F,1)),4*size(F,1)*dim,1), ... + % N(:), ... + % size(E,1), ... + % size(F,1)*dim)/3 * G; + case 3 + % edges + E = [F(:,2) F(:,3) + F(:,3) F(:,1) + F(:,1) F(:,2)]; + % Could replace with: + C = cotangent(V,F); + % -1/1 point to/from vertex on "this edge" + m = size(F,1); + DD = 2*sparse( ... + reshape(bsxfun(@plus,repmat(1:m,1,4)',m*(0:3-1)),m,4*3), ... + F(:,[3 1 2 1,1 2 3 2,2 3 1 3]), ... + C(:,[2 2 3 3,3 3 1 1,1 1 2 2])*diag(repmat([1,-1],1,2*3)), ... + m*3,size(V,1)); + %% REFERENCE VERSION: + %% gradient for each triangle + %G = grad(V,F); + %% edge vectors + %EV = V(E(:,2),:) - V(E(:,1),:); + %% unit (normalized) normals + %V(:,end+1:3) = 0; + %FN = normalizerow(normals(V,F)); + %V = V(:,1:dim); + %% pad with zeros + %FN (:,end+1:3) = 0; + %EV(:,end+1:3) = 0; + %N = cross(EV,repmat(FN,3,1),2); + %% strip padding + %N = N(:,1:dim); + %DD = sparse( ... + % repmat(1:size(E,1),1,dim)', ... + % reshape(bsxfun(@plus, ... + % repmat(1:size(F,1),1,3)', ... + % (0:dim-1)*size(F,1)),3*size(F,1)*dim,1), ... + % N(:), ... + % size(E,1), ... + % size(F,1)*dim) * G; + end +end diff --git a/matlab/external/gptoolbox/mesh/normals.m b/matlab/external/gptoolbox/mesh/normals.m new file mode 100644 index 0000000..e08992c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/normals.m @@ -0,0 +1,64 @@ +function [ N ] = normals(V,F,varargin) + % NORMALS Compute *unnormalized* normals per face + % + % N = normals(V,F) + % N = normals(V,F,'ParameterName',ParameterValue, ...) + % + % Inputs: + % V #V x 3 matrix of vertex coordinates + % F #F x 3 matrix of indices of triangle corners + % Optional: + % 'Stable' followed by whether to compute normals in a way stable with + % respect to vertex order: constant factor more expensive {false} + % Output: + % N #F x 3 list of face normals + % + + function D = sum3(A,B,C) + % SUM3 Entrywise sum of three matrices in a stable way: sorting entries by + % value and summing + shape = size(A); + ABC = [A(:) B(:) C(:)]; + [~,I] = sort(abs(ABC),2,'descend'); + sABC = reshape( ... + ABC(sub2ind(size(ABC),repmat(1:size(ABC,1),size(ABC,2),1)',I)),size(ABC)); + D = reshape(sum(sABC,2),shape); + end + + stable = false; + % default values + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Stable'},{'stable'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + p1 = V(F(:,1),:); + p2 = V(F(:,2),:); + p3 = V(F(:,3),:); + + % ,2 is necessary because this will produce the wrong result if there are + % exactly 3 faces + N1 = cross(p2 - p1, p3 - p1,2); + if stable + N2 = cross(p3 - p2, p1 - p2,2); + N3 = cross(p1 - p3, p2 - p3,2); + N = sum3(N1,N2,N3)/3; + else + N = N1; + end + + +end + diff --git a/matlab/external/gptoolbox/mesh/offset_curve.m b/matlab/external/gptoolbox/mesh/offset_curve.m new file mode 100644 index 0000000..4816ec1 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/offset_curve.m @@ -0,0 +1,38 @@ +function [SI,SO,EI,EO] = offset_curve(P, offset) + % OFFSET_CURVE Given a closed curve find an inner and outer offset curve. + % + %[SI,SO,EI,EO] = offset_curve(P, offset) + % + % Input: + % P #P by 2 list of curve positions + % offset offset amount + % Output: + % SI #P by 2 list of inner curve offset positions + % SO #P by 2 list of outer curve offset positions + % EI #P by dim list of inner curve edges + % EO #P by dim list of outer curve edges + % + + % http://www.mathworks.com/matlabcentral/newsreader/view_thread/173494 + x = P(:,1)'; + y = P(:,2)'; + + % find slope + m = diff(x + i*y); + % use average of slope on each side + % better result for large spaces between points + m = [m(1) (m(1:(end-1)) + m(2:end))/2 m(end)]; + + % calculate offset + vOff = offset*m*exp(-i*pi/2) ./ abs(m); + + % generate output vectors + IX = [x-real(vOff)]; + OX = [fliplr(x+real(vOff))]; + IY = [y-imag(vOff)]; + OY = [fliplr(y+imag(vOff))]; + SI = [IX' IY']; + SO = [OX' OY']; + EI = [1:numel(IX);2:numel(IX) 1]'; + EO = [1:numel(OX);2:numel(OX) 1]'; +end diff --git a/matlab/external/gptoolbox/mesh/on_boundary.m b/matlab/external/gptoolbox/mesh/on_boundary.m new file mode 100644 index 0000000..97b97f1 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/on_boundary.m @@ -0,0 +1,44 @@ +function [I,C] = on_boundary(F) + % ON_BOUNDARY determines if each face of a manifold mesh is on the boundary + % (contains at least on boundary edge) + % + % [I,C] = on_boundary(F) + % + % Inputs: + % F #F by simplex-size list of element indices + % Outputs: + % I #F list of bools, whether on boundary + % C #F by simplex size matrix of bools, whether opposite edge on boundary + simplex_size = size(F,2); + switch simplex_size + case 3 + E = [F(:,2) F(:,3); F(:,3) F(:,1); F(:,1) F(:,2)]; + [sortedE] = sort(E,2); + [u,m,n] = unique(sortedE,'rows'); + counts = accumarray(n(:), 1); + C = counts(n); + C = reshape(C,size(F)); + C = C==1; + I = any(C,2); + case 4 + T = F; + allF = [ ... + T(:,2) T(:,4) T(:,3); ... + T(:,1) T(:,3) T(:,4); ... + T(:,1) T(:,4) T(:,2); ... + T(:,1) T(:,2) T(:,3); ... + ]; + % sort rows so that faces are reorder in ascending order of indices + sortedF = sort(allF,2); + % determine uniqueness of faces + [u,m,n] = unique(sortedF,'rows'); + % determine counts for each unique face + counts = accumarray(n(:), 1); + C = counts(n); + C = reshape(C,size(T)); + C = C==1; + I = any(C,2); + otherwise + error(['Unsupported simplex size' num2str(simplex_size)]); + end +end diff --git a/matlab/external/gptoolbox/mesh/ordered_outline.m b/matlab/external/gptoolbox/mesh/ordered_outline.m new file mode 100644 index 0000000..220845b --- /dev/null +++ b/matlab/external/gptoolbox/mesh/ordered_outline.m @@ -0,0 +1,71 @@ +function [B,L] = ordered_outline(F) + % ORDERED_OUTLINE Find outline (boundary) edges of mesh + % + % [B,L] = outline(F) + % + % Input: + % F #F by 3 face list of indices + % Outputs: + % B #B by 1 list of outline edges + % L #loops+1 by 1 list of boundary loop start indices into B, the last + % entries is (by tradition) always the numel of B + 1 + % + % Example: + % V = [0 0; 1 0; 1 1 ; 0 1; 4 0; 4 4; 0 4]; + % F = [1 2 3; 1 2 4; 6 5 7]; + % [B,L] = ordered_outline(F); + % hold on + % for l = 1:(numel(L)-1) + % plot(V([B(L(l):(L(l+1)-1)) B(L(l))],1),V([B(L(l):(L(l+1)-1)) B(L(l))],2)); + % end + % hold off + % + % See also: outline + % + + O = outline(F); + % determine uniqueness of indices + [u,m,n] = unique(O(:),'rows'); + % determine counts for each unique edge + counts = accumarray(n(:), 1); + % all counts should be 2 + assert(all(counts == 2)); + + % number of outline edges + no = size(O,1); + + % list of boundary + B = []; + L = []; + unseen = true(no,1); + while any(unseen) + L = [L numel(B)+1]; + % find first unseen index + f = find(unseen,1); + % append start vertex to boundary + next = O(f,1); + % keep track of start + start = next; + unseen(f) = false; + B = [B next]; + next = O(f,2); + % loop until back at start + while next ~= start + B = [B next]; + % try to find next as source + f = find(unseen & O(:,1) == next); + if isempty(f) + % try to find next as dest + f = find(unseen & O(:,2) == next); + assert(~isempty(f)); + next = O(f,1); + else + next = O(f,2); + end + unseen(f) = false; + end + end + L = [L numel(B)+1]; + +end + diff --git a/matlab/external/gptoolbox/mesh/orient_outward.m b/matlab/external/gptoolbox/mesh/orient_outward.m new file mode 100644 index 0000000..c52119e --- /dev/null +++ b/matlab/external/gptoolbox/mesh/orient_outward.m @@ -0,0 +1,34 @@ +function [FF,I] = orient_outward(V,F,C) + % ORIENT_OUTWARD Use a simple heuristic to maintain or flip each + % manifold/orientable patch of a mesh. Assumes that independent patches have + % already been oriented consistently up to sign. + % + % [FF,I] = orient_outward(V,F,C) + % + % Inputs: + % V #V by 3 list of vertex positions + % F #F by 3 list of triangle indices + % C #F list of component ids + % Outputs: + % FF #F by 3 list of new, potentially flipped triangle indices + % I #C list of bools whether patch was flipped + % + % See also: bfs_orient, manifold_patches + % + [FF,C] = bfs_orient(F); + I = false(max(C),1); + for c = 1:max(C) + N = normalizerow(normals(V,FF(C==c,:))); + A = doublearea(V,FF(C==c,:)); + BC = barycenter(V,FF(C==c,:)); + BCmean = A'*BC/sum(A); + BC = bsxfun(@minus,BC,BCmean); + ndot = sum(bsxfun(@times,A,sum(N.*BC,2))); + if ndot<0 + FF(C==c,:) = fliplr(FF(C==c,:)); + I(c) = true; + else + I(c) = false; + end + end +end diff --git a/matlab/external/gptoolbox/mesh/outline.m b/matlab/external/gptoolbox/mesh/outline.m new file mode 100644 index 0000000..027edc7 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/outline.m @@ -0,0 +1,51 @@ +function [O] = outline(F) + % OUTLINE Find outline (boundary) edges of mesh + % + % [O] = outline(F) + % + % Input: + % F #F by polysize face list of indices + % Output: + % O #O by 2 list of outline edges + % + % Example: + % [V,F] = create_regular_grid(17,17,0,0); + % [O] = outline(F); + % % extract unique vertex indices on outline + % [u,m,n] = unique(O(:)); + % % original map O = IM(O) + % IM = 1:size(V,1); + % IM(O(:)) = n; + % % list of vertex positions of outline + % OV = V(u,:); + % % list of edges in OV + % OE = IM(O); + % tsurf(F,V); + % hold on; + % plot( ... + % [OV(OE(:,1),1) OV(OE(:,2),1)]', ... + % [OV(OE(:,1),2) OV(OE(:,2),2)]', ... + % '-','LineWidth',5); + % hold off; + % + + %% + %% This does not maintain original order + %% + %% Find all edges in mesh, note internal edges are repeated + %E = sort([F(:,1) F(:,2); F(:,2) F(:,3); F(:,3) F(:,1)]')'; + %% determine uniqueness of edges + %[u,m,n] = unique(E,'rows'); + %% determine counts for each unique edge + %counts = accumarray(n(:), 1); + %% extract edges that only occurred once + %O = u(counts==1,:); + + % build directed adjacency matrix + A = sparse(F,F(:,[2:end 1]),1); + % Find single occurance edges + [OI,OJ,OV] = find(A-A'); + % Maintain direction + O = [OI(OV>0) OJ(OV>0)];%;OJ(OV<0) OI(OV<0)]; + +end diff --git a/matlab/external/gptoolbox/mesh/outline_loop.m b/matlab/external/gptoolbox/mesh/outline_loop.m new file mode 100644 index 0000000..e6a3f4d --- /dev/null +++ b/matlab/external/gptoolbox/mesh/outline_loop.m @@ -0,0 +1,69 @@ +function loop = outline_loop(F,varargin) + % OUTLINE_LOOP + % + % loop = outline_loop(F) + % or + % loop = outline_loop(O) + % + % Inputs: + % F #F by 3 list of triangles + % or + % O #O by 2 list of outline edges (needs to be oriented) + % Optional: + % 'Unoriented' followed by true or false + % Outputs: + % loop #loop by 1 list of outline endpoints on single loop + % + % + % Example: + % % list all loops + % O = outline(F); + % loops = {}; + % while ~isempty(O) + % loops{end+1} = outline_loop(O); + % O = O(~all(ismember(O,loops{end}),2),:); + % end + % + % Known bugs: Only works for single loop + % + + if size(F,2) == 3 + O = outline(F); + else + O = F; + end + + unoriented = true; + + ii = 1; + while ii < numel(varargin) + switch varargin{ii} + case 'Unoriented' + assert(ii+1<=numel(varargin)); + ii = ii+1; + unoriented = varargin{ii}; + otherwise + error('Unsupported parameter: %s',varargin{ii}); + end + ii = ii+1; + end + + % Should only have single loop + [~,IM] = remove_unreferenced((1:max(F(:)))',O); + O = IM(O); + RIM = sparse(IM,1,1:max(IM)); + if max(components(adjacency_matrix(O))) > 1 + warning('Only first loop will be returned'); + end + + if unoriented + A = adjacency_matrix(O(2:end,:)); + [~, pred] = shortest_paths(A,O(1,2)); + loop = path_from_pred(pred,O(1,1)); + else + pred = full(sparse(1,O(:,2),O(:,1))); + loop = path_from_pred(pred,1); + end + + loop = RIM(loop); +end diff --git a/matlab/external/gptoolbox/mesh/partition.m b/matlab/external/gptoolbox/mesh/partition.m new file mode 100644 index 0000000..5e7c061 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/partition.m @@ -0,0 +1,126 @@ +function [G,S,D] = partition(W,k,S,WS) + % PARTITION partition vertices into groups based on each + % vertex's vector: vertices with similar coordinates (close in + % space) will be put in the same group. + % + % G = partition(W,k) + % + % Inputs: + % V #V by dim coordinate matrix + % k desired number of groups default is dim + % S list of initial seed vertices, guaranteed to be first entries in S + % WS list of initial seed weights, guaranteed to be first entries in S + % Output: + % G #V list of group indices (1 to k) for each vertex, such that vertex i + % is assigned to group G(i) + % S k list of seed vertices + % D #V list of squared distances for each vertex to it's corresponding + % closest seed + % + % Example #1: + % % mesh (V,F), weights W + % % number of groups + % k = 5; + % % Compute parititons + % [G,S,D] = partition(W,k); + % % display mesh colored by partitions + % subplot(1,2,1); + % trisurf(F,V(:,1),V(:,2),V(:,3),G); + % hold on; + % scatter(V(S,1),V(S,2),V(S,3), ... + % 'o','MarkerFaceColor','y', ... + % 'MarkerEdgeColor','k',... + % 'LineWidth',2,'SizeData',200); + % hold off; + % view(2);axis equal + % title('parition.m'); + % % Compute parititons using kmeans + % [G,Sp,~,D] = kmeans(W,k); + % subplot(1,2,2); + % % display mesh colored by partitions + % trisurf(F,V(:,1),V(:,2),V(:,3),G); + % view(2);axis equal + % title('kmeans'); + % + % Example #2: + % % mesh (V,F), weights W + % % number of domain vertices + % n = size(W,1); + % % number of weight functions + % m = size(W,2); + % % number of groups + % k = round(sqrt(n)); + % % Compute parititons + % [G,S,D] = partition(W,k); + % % compute averages per group (not the same as seeds) + % avgG = ... + % sparse(repmat(G,m,1),reshape(repmat(1:m,n,1),n*m,1),W(:))./ ... + % repmat(sparse(G,1,1),1,m); + % % compute sum of sum of distances per cluster to average + % sum(sum((avgG(G,:)-W).^2,2)) + % % use as initial guess for kmeans clustering + % [G,S,X] = kmeans(W,k,'Start',W(S,:));sum(X) + % % compare to 100 initial guesses + % [G,S,X] = kmeans(W,k,'Replicates',100);sum(X) + % + % + % See also: kmeans + % + + + + % number of vertices + n = size(W,1); + % number of dimensions + m = size(W,2); + + if ~exist('k','var') + k = m; + end + + assert(k >= 1); + + % seed vertices + if ~exist('S','var') + S = []; + end + + if ~exist('WS','var') + WS = W(S,:); + end + + if isempty(S) + % "randomly" choose first seed + % pick a vertex farthest from 0 + [s,I] = sort(sum(W.^2,2),'descend'); + S(1) = I(1); + end + + % initialize min (squareed) distance to closest seed in seed group + D = sum((W-repmat(W(S(1),:),n,1)).^2,2); + % intilialize indices of closest seed + G = ones(n,1); + + % greedily choose k seeds + for ii = 2:k + if ii > numel(S) + % find maximum + [s,I] = sort(D,'descend'); + S(ii) = I(1); + WSii = W(S(ii),:); + else + WSii = WS(ii,:); + end + % update min (squared) distance to seed group + [D,C] = min([D sum((W-repmat(W(S(ii),:),n,1)).^2,2)],[],2); + % update seed ids for all vertices whose closest seed is the new one + G(C == 2) = ii; + end + + [G,centroids,~,D] = kmeans(W,k,'Start',W(S,:)); + % find closest + [~,S] = min(all_pairs_distances(W,centroids),[],1); + %warning('not executing kmeans'); + %warning('not executing kmeans'); + +end diff --git a/matlab/external/gptoolbox/mesh/per_edge_normals.m b/matlab/external/gptoolbox/mesh/per_edge_normals.m new file mode 100644 index 0000000..1a318d4 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/per_edge_normals.m @@ -0,0 +1,27 @@ +function [N,E,EMAP] = per_edge_normals(V,F) + % PER_EDGE_NORMALS Compute per-edge normals over a mesh (V,F) + % + % N = per_edge_normals(V,F) + % [N,E,EMAP] = per_edge_normals(V,F) + % + % Inputs: + % V #V by 3 list of vertex positions + % F #F by 3 list of triangle indices + % Outputs: + % N #E by 3 list of edge normals + % E #E by 2 list of edge indices + % EMAP #F*3 by 1 unique map of edges + % + + m = size(F,1); + allE = [F(:,[2 3]);F(:,[3 1]);F(:,[1 2])]; + % Map duplicate edges to first instance + [E,~,EMAP] = unique(sort(allE,2),'rows'); + % Map each face-edge to a unique edge + F2E = repmat(1:m,3,1)'; + dblA = doublearea(V,F); + % #E by #F*3 + A = sparse(EMAP,F2E(:),repmat(dblA,3,1),size(E,1),m); + FN = normalizerow(normals(V,F)+eps); + N = normalizerow(A*FN); +end diff --git a/matlab/external/gptoolbox/mesh/per_vertex_frames.m b/matlab/external/gptoolbox/mesh/per_vertex_frames.m new file mode 100644 index 0000000..6310e08 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/per_vertex_frames.m @@ -0,0 +1,71 @@ +function [T,N,B,I] = per_vertex_frames(V,F,varargin) + % PER_VERTEX_NORMALS Compute local frames for each vertex of a triangle + % mesh. This method works by first computing the normal nj at each vertex vi + % in the mesh (V,F), then finds the neighbor vi of vj such that the + % undirected line e_ij is most perpendicular to the normal. The cross product + % of this line defines a binormal and the tangent is recovered + % by taking the cross product of the binormal and the normal. + % + % [T,N,B] = per_vertex_frames(V,F) + % [T,N,B,I] = per_vertex_frames(V,F,'ParameterName',parameter_value, ...) + % + % Inputs: + % V #V by 3 list of vertex positions + % F #F by 3 list of triangle indices + % Optional: + % 'Neighbors' followed by precomputed I (see output below) + % Outputs: + % T #V by 3 list of tangent vectors + % N #V by 3 list of normal vectors + % B #V by 3 list of binormal vectors + % I #V list of indices of neighbor used to determine normal plane. + % + % + + % default values + I = []; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Neighbors'}, ... + {'I'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + n = size(V,1); + % normals + N = per_vertex_normals(V,F); + if isempty(I) + % all edges + E = [F(:,2:3);F(:,[3 1]);F(:,1:2)]; + E = [E;fliplr(E)]; + % All dot products, so that D(i,j) = 1 + n_i â‹… e_ij + D = sparse( ... + E(:,1), ... + E(:,2), ... + ... % Important to take max in case e_ij = -n_i + max( ... + sum(normalizerow(V(E(:,1),:)-V(E(:,2),:)).*N(E(:,1),:),2), ... + sum(normalizerow(V(E(:,2),:)-V(E(:,1),:)).*N(E(:,1),:),2)) ... + +1, ... + n,n); + [~,I] = minnz(D); + end + % edge-vector that looks most like a tangent vector + Te = normalizerow(V(I,:)-V); + % Bi-normal orthogonal to normal-plane cutting most tangent edge-vector + B = normalizerow(cross(Te,N,2)); + % Finally recompute a tangent vector orthogonal to normal and binormal + T = cross(B,N,2); + +end diff --git a/matlab/external/gptoolbox/mesh/per_vertex_normals.m b/matlab/external/gptoolbox/mesh/per_vertex_normals.m new file mode 100644 index 0000000..19fd347 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/per_vertex_normals.m @@ -0,0 +1,52 @@ +function N = per_vertex_normals(V,F,varargin) + % PER_VERTEX_NORMALS Compute per-vertex (area-weighted) normals over a mesh + % (V,F) + % + % N = per_vertex_normals(V,F) + % + % Inputs: + % V #V by 3 list of vertex positions + % F #F by 3 list of triangle indices + % Optional: + % 'Weighting' followed by one of the following: + % {'area'} weighting + % 'uniform' weighting + % 'angle' weighting + % Outputs: + % N #V by 3 list of vertex normals + % + + weighting = 'area'; + U = []; + R = []; + % default values + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Weighting'},{'weighting'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + FN = normalizerow(normals(V,F)+eps); + switch weighting + case 'uniform' + W = ones(size(F,1),3); + case 'angle' + W = internalangles(V,F); + case 'area' + W = repmat(doublearea(V,F),1,3); + end + W = sparse(F(:),repmat(1:size(F,1),1,3),W,size(V,1),size(F,1)); + N = normalizerow(W*FN); + +end diff --git a/matlab/external/gptoolbox/mesh/perform_edge_collapse.m b/matlab/external/gptoolbox/mesh/perform_edge_collapse.m new file mode 100644 index 0000000..95dbe8e --- /dev/null +++ b/matlab/external/gptoolbox/mesh/perform_edge_collapse.m @@ -0,0 +1,74 @@ +function [W,G,V2W] = perform_edge_collapse(V,F,C,t) + % PERFORM_EDGE_COLLAPSE Perform t edge collapses on mesh (V,F) based on + % collapses C read from qslim log file + % + % [W,G] = perform_edge_collapse(V,F,C,t) + % + % Inputs: + % V #V by 3 input mesh vertex positions + % F #F by 3 input mesh triangle indices (1-indexed) + % C #collapse list of edge collapse structs with fields + % .a index into V of vertex collapsed to + % .b index into V of vertex collapsed from + % .da 1 by 3 displacement of vertex a + % .rm list of indices in F of faces removed by this collapse + % .mod list of indices in F of faces modified by this collapse + % t target number of faces {0 for all collapse} + % Outputs: + % W #W by 3 collapsed mesh vertex positions + % G #G by 3 collapsed mesh triangle indices (1-indexed) + % V2W #V list of indices into W + % + % See also: readLOG, qslim + % + + % collapsed versions + G = F; + W = V; + rm_so_far = 0; + if nargin < 4 + t = 0; + end + viz = false; + if viz + t = tsurf(G,W); + axis equal; + view(2); + end + V2W = (1:size(V,1))'; + % loop over collapses + for ci = 1:numel(C) + c = C(ci); + % move vertex + W(c.a,:) = W(c.a,:) + c.da; + % remove faces in a cheapskate, in-place way + G(c.rm,:) = 1; + rm_so_far = rm_so_far + numel(c.rm); + V2W(c.b) = c.a; + % modify faces + G(c.mod,:) = (G(c.mod,:) == c.b)*c.a + (G(c.mod,:) ~= c.b).*G(c.mod,:); + if size(F,1)-rm_so_far <= t + break; + end + + if viz && (mod(ci,100)==0 || ci == numel(C)) + set(t,'Vertices',W,'Faces',G); + title(sprintf('%d/%d',ci,numel(C))); + drawnow; + end + end + + % peal off layers of indirection + found = V2W==(1:size(V,1))'; + while any(~found) + old_found = found; + found(~old_found) = found(V2W(~old_found)); + V2W(~old_found) = V2W(V2W(~old_found)); + end + + G = G(~all(G==1,2),:); + [W,IM] = remove_unreferenced(W,G); + G = IM(G); + V2W = IM(V2W); + +end diff --git a/matlab/external/gptoolbox/mesh/planarize.m b/matlab/external/gptoolbox/mesh/planarize.m new file mode 100644 index 0000000..eef7b5b --- /dev/null +++ b/matlab/external/gptoolbox/mesh/planarize.m @@ -0,0 +1,143 @@ +function Q = planarize(V,F,varargin) + % PLANARIZE Planarize the quads of quad mesh using the local-local technique + % of "Interactive Planarization and Optimization of 3D Meshes" [Poranne et + % al. 2012] + % + % Q = planarize(V,F,varargin) + % + % Inputs: + % V #V by dim list of mesh vertex positions + % F #F by 4 list of quad indices into V + % Optional: + % 'MaxIter' followed by maximum number of iterations {100} + % 'mu' followed by "mu" penalty value {0.9} + % 'r' followed by "r" penalty shrink factor {0.9} + % Outputs: + % Q #V by dim list of new mesh vertex positions + % + + % default values + max_iter = 100; + mu = 0.9; + r = 0.9; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'MaxIter','mu','r'}, ... + {'max_iter','mu','r'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + % number of quads + m = size(F,1); + % number of vertices + n = size(V,1); + dim = 3; + T = [F(:,[1 2 3]);F(:,[1 3 4])]; + N = normalizerow(normals(V,T)); + % Initial guess for N + N = 0.5*(N(1:m,:)+N(m+1:end,:)); + A = doublearea(V,T); + % A sort of barycentric massmatrix for quad meshes + M = repdiag(sparse(T(:),T(:),0.25*repmat(A,3,1),n,n),dim); + E = []; + + % nsp = 3; + % subplot(1,nsp,1); + % BC = barycenter(V,F); + % trisurf(F,V(:,1),V(:,2),V(:,3)); + % hold on; + % quiver3(BC(:,1),BC(:,2),BC(:,3),N(:,1),N(:,2),N(:,3)); + % hold off; + + % "corner" incidence + C = sparse(F(:),repmat(1:m,1,4)',1,n,m); + + D = zeros(m,1); + + Q = V; + iter = 1; + while true + + % LOCAL + for ni = 1:m + Qn = Q(F(ni,:),:); + Mn = mean(Qn,1); + Qnc = bsxfun(@minus,Qn,Mn); + [EV,ED] = eig(Qnc'*Qnc); + [~,mi] = min(diag(ED)); + N(ni,:) = EV(:,mi); + D(ni) = -Mn*N(ni,:)'; + end + + % LOCAL + for v = 1:n + % faces incident on v + J = find(C(v,:)); + NJ = N(J,:); + DJ = D(J); + AJ = mu*eye(3) + (1-mu)*(NJ'*NJ); + bJ = mu*V(v,:)' - (1-mu)*NJ'*DJ; + Q(v,:) = AJ\bJ; + end + + % GLOBAL + %% "corner" incidence for each dimension with Nj + %This is wrong becase D should be scalar... + %CN = sparse( ... + % reshape(bsxfun(@plus,F(:),(0:dim-1)*n),dim*m*4,1), ... + % reshape(bsxfun(@plus,repmat((1:m)',4,1),(0:dim-1)*m),dim*m*4,1), ... + % reshape(repmat(N,4,1),4*m*dim,1), ... + % n*dim,m); + %% μ ‖P-Q‖² + (1-μ)∑_ij(n_j*q_i-d_j)² + %% Identity + %I = repdiag(speye(m,m),dim); + %H = [ mu*M (1-mu)*CN; ... + % (1-mu)*CN' (1-mu)*I]; + %l = [-mu*2*M*V(:);zeros(m*dim,1)]; + %QD = min_quad_with_fixed(H,l,[],[]); + %Q = reshape(QD(1:n*dim),n,dim); + %D = reshape(QD(n*dim+1:end),m,dim); + %% (1-μ)∑_ij(n_j*q_i-d_j)² + %% ‖n_i‖² = 1 + %% + %CQ = sparse( ... + % reshape(bsxfun(@plus,F(:),(0:dim-1)*n),dim*m*4,1), ... + % reshape(bsxfun(@plus,repmat((1:m)',4,1),(0:dim-1)*m),dim*m*4,1), ... + % reshape(Q(F(:),:),m*dim*4,1), ... + % n*dim,m*dim); + %%H = (1-mu)*diag(sum(CQ'.^2,2)); + %%l = (1-mu)*-2*diag(sum(CQ',2))*D(:); + %%% min N'HN - 2N'l + %%% ‖N‖² = m + + %subplot(1,nsp,2); + %BC = barycenter(Q,F); + %trisurf(F,Q(:,1),Q(:,2),Q(:,3)); + %hold on; + %quiver3(BC(:,1),BC(:,2),BC(:,3),N(:,1),N(:,2),N(:,3)); + %hold off; + + %NT = normalizerow(normals(Q,T)); + %e = sum(sum((NT(1:m,:)-NT(m+(1:m),:)).^2,2)); + %E = [E(:);e]; + %subplot(1,nsp,3); + %loglog(E); + iter = iter+1; + if iter>max_iter + break; + end + + mu = r*mu; + end +end diff --git a/matlab/external/gptoolbox/mesh/plane_project.m b/matlab/external/gptoolbox/mesh/plane_project.m new file mode 100644 index 0000000..cc0e6f2 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/plane_project.m @@ -0,0 +1,43 @@ +function [U,UF,I] = plane_project(V,F) + % Project each triangle to the plane + % + % [U,UF,I] = plane_project(V,F) + % + % Inputs: + % V #V by 3 list of vertex positions + % F #F by 3 list of mesh indices + % Outputs: + % U #F*3 by 2 list of triangle positions + % UF #F by 3 list of mesh indices into U + % I #V by #F such that I(i,j) = 1 implies U(j,:) corresponds to V(i,:) + % + % Examples: + % % Laplace-Beltrami is intrinsic + % LV = cotmatrix(V,F); + % [U,UF,I] = plane_project(V,F); + % LU = cotmatrix(U,UF); + % ILUI = I*LU*I'; + % max(max(abs(LV-ILUI))) + % + + nf = size(F,1); + % edge lengths numbered same as opposite vertices + l = [ ... + sqrt(sum((V(F(:,2),:)-V(F(:,3),:)).^2,2)) ... + sqrt(sum((V(F(:,3),:)-V(F(:,1),:)).^2,2)) ... + sqrt(sum((V(F(:,1),:)-V(F(:,2),:)).^2,2)) ... + ]; + l1 = l(:,3); l2 = l(:,1); l3 = l(:,2); + + % first corner at origin + U = zeros(nf*3,2); + % second corner along x axis + U(nf+(1:nf),1) = l1; + % third corner rotated onto plane + U(nf*2+(1:nf),1) = (-l2.^2 + l3.^2 + l1.^2)./(2*l1); + U(nf*2+(1:nf),2) = sqrt(l3.^2-U(nf*2+(1:nf),1).^2); + UF = [1:nf;nf+(1:nf);2*nf+(1:nf)]'; + + I = sparse(F(:),1:3*nf,1,size(V,1),nf*3); + +end diff --git a/matlab/external/gptoolbox/mesh/plot_edges.m b/matlab/external/gptoolbox/mesh/plot_edges.m new file mode 100644 index 0000000..8b220b2 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/plot_edges.m @@ -0,0 +1,37 @@ +function varargout = plot_edges(V,E,varargin) + % PLOT_EDGES Plot edges + % + % p = plot_edges(V,E) + % p = plot_edges(V,E,LINESPEC,...) + % + % Inputs: + % V #V by dim list of edge vertiecs + % E #E by 2 list of edges + % Outputs: + % p plot handle + % + if isempty(E) + return; + end + + switch size(V,2) + case 2 + p = plot( ... + [V(E(:,1),1) V(E(:,2),1)]', ... + [V(E(:,1),2) V(E(:,2),2)]', ... + varargin{:}); + case 3 + p = plot3( ... + [V(E(:,1),1) V(E(:,2),1)]', ... + [V(E(:,1),2) V(E(:,2),2)]', ... + [V(E(:,1),3) V(E(:,2),3)]', ... + varargin{:}); + otherwise + error('Unsupported dimension: %d',size(V,2)); + end + + if nargout >= 1 + varargout{1} = p; + end + +end diff --git a/matlab/external/gptoolbox/mesh/png2mesh.m b/matlab/external/gptoolbox/mesh/png2mesh.m new file mode 100644 index 0000000..d169c9e --- /dev/null +++ b/matlab/external/gptoolbox/mesh/png2mesh.m @@ -0,0 +1,63 @@ +function [V,F] = png2mesh( ... + filename, laplacian_smoothness_iterations, max_points_on_boundary) + % PNG2MESH + % + % [V,F] = png2mesh(filename, laplacian_smoothness_iterations, + % max_points_on_boundary) + % + % Mesh the non transparent part of an image. Best to have the entire shape + % surrounded by at least one transparent pixel. Also the outer boundary and + % boundary of holes should be roughly the same size as resampling to meet the + % max_points_on_boundary parameter is done by edge collapsing on the boundary + % (small boundaries will end up with too many samples and therefor the + % triangulation will be dense there). + % + % Inputs: + % filename path to .png file + % laplacian_smoothness_iterations Number of iterations of laplacian + % smoothing of the positions of boundary curve points before handing + % curve to Triangle + % max_points_on_boundary maximum number of points in the input curve + % before handing to Triangle + % Outputs: + % F #faces by 3, list of face indices + % V #V by 2 list of polygon vertices, note that y-coordinates will be + % "flipped" with respect to the image if you think of the image rows as + % counting from 0 at the top left corner to size(im,1) at the bottom + % right corner + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also: bwmesh, png2poly, triangle + % + + warning('obsolete: use bwmesh'); + + basename = regexprep(filename,'\.png$',''); + % use alpha channel of png image to define poly + [V,E,H] = png2poly(... + filename,... + laplacian_smoothness_iterations, ... + max_points_on_boundary); + if ~isempty(H) + warning('Holes non-empty, but I know holes sometimes come out broken'); + end + + unr = setdiff(1:size(V,1),E(:)); + if(~isempty(unr)) + warning('Unreferenced vertices in outline...\n'); + end + % get average squared edge length as a guess at the maximum area constraint + % for the triangulation + avg_sqr_edge_length = mean(sum((V(E(:,1),:)-V(E(:,2),:)).^2,2)); + % triangulate the polygon + [V,F] = triangle(V,E,H,'MaxArea',avg_sqr_edge_length/2.0,'Quality',30); + %[V,F] = triangle(V,E,[]); + unr = setdiff(1:size(V,1),F(:)); + if(~isempty(unr)) + warning('Removing unreferenced vertices in mesh...'); + [V,~,F] = faces_first(V,[],F); + V=V(1:max(F(:)),:); + end + +end diff --git a/matlab/external/gptoolbox/mesh/png2objandtga.m b/matlab/external/gptoolbox/mesh/png2objandtga.m new file mode 100644 index 0000000..10a86aa --- /dev/null +++ b/matlab/external/gptoolbox/mesh/png2objandtga.m @@ -0,0 +1,54 @@ +function [V,F,img] = png2objandtga( ... + filename, ... + laplacian_smoothness_iterations, ... + max_points_on_boundary) +% PNG2OBJANDTGA triangulate a png file based on its alpha mask and spit out +% corresponding tga (texture) and obj (mesh) files +% +% png2objandtga(filename) +% png2objandtga(filename,laplacian_smoothness_iterations,max_points_on_boundary) +% +% Inputs: +% filename path to .png file +% Optional: +% laplacian_smoothness_iterations number of laplacian smoothness +% iterations to perform on boundary before meshing {0} +% max_points_on_boundary {0.5(#width+#height)} +% Outputs: +% V #V by 2 list of mesh vertex positions +% F #F by 3 list of triangle indices +% img image +% + + + basename = regexprep(filename,'\.png$',''); + img = imread(filename); + if(0 ~= mod(size(img,1),4) || 0 ~= mod(size(img,2),4)) + warning(['Image dimensions are not a multiple of 4...' ... + ' tga may not load in openGL properly']); + end + + + +if ~exist('laplacian_smoothness_iterations','var') + laplacian_smoothness_iterations = 0; +end + +if ~exist('max_points_on_boundary','var') + max_points_on_boundary = 0.5*sum(size(img)); +end + + [V,F] = png2mesh( ... + filename, ... + laplacian_smoothness_iterations, ... + max_points_on_boundary); + tsurf(F,V); + V = [V(:,1) V(:,2) 0*V(:,1)]; + writeOBJ([basename '.obj'],V,F); + % convert png to tga + path_to_convert = '/opt/local/bin/convert'; + [status, result] = ... + system(['export DYLD_LIBRARY_PATH="";' path_to_convert ' -flatten ' basename '.png' ' ' basename '.tga']); + [status, result] = ... + system(['export DYLD_LIBRARY_PATH="";' path_to_convert ' +matte ' basename '.tga' ' ' basename '.tga']); +end diff --git a/matlab/external/gptoolbox/mesh/png2poly.m b/matlab/external/gptoolbox/mesh/png2poly.m new file mode 100644 index 0000000..838b378 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/png2poly.m @@ -0,0 +1,122 @@ +function [V,E,H] = png2poly(filename,smooth_iters,max_points) + % PNG2POLY Read a png file and use it's alpha mask to define a polygon + % + % [V,E,H] = png2poly(filename) + % [V,E,H] = png2poly(filename,smooth_iters,max_points) + % + % Inputs: + % filename path to .png file + % smooth_iters optional number of smoothing iterations to perform on output + % polygon, {0} + % max_points optional number of maximum points along boundary, {inf} + % Outputs + % V #V by 2 list of polygon vertices, note that y-coordinates will be + % "flipped" with respect to the image if you think of the image rows as + % counting from 0 at the top left corner to size(im,1) at the bottom + % right corner + % E #E by 2 list of polygon edge indices + % H #H by 2 list of hole positions + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also: mask2poly, png2objandtga, png2mesh + % + + + % read in .png file with alpha layer + [img,map,alpha] = imread(filename); + % let shape be area with alpha > 128 + alpha = 255*( alpha > 128); + % get polygon from alpha mask + poly = mask2poly(alpha); + + if exist('smooth_iters','var') + % handle smooth of each component separately, *before* finding hole positions + for component_index = 1:size(poly,2) + % flip y-coordinates because matlab displays images with reversed + % y-direction, but displays meshes with normal y-direction + poly(component_index).y = size(alpha,1)-poly(component_index).y; + component_size = size(poly(component_index).x,1); + % this will probably not just work for non closed loops + i = [ ... + 1:component_size ... + [component_size 1:(component_size-1)] ... + 1:component_size ]; + j = [ + [component_size 1:(component_size-1)] ... + 1:component_size ... + 1:component_size ]; + v = [ ... + 0.5*ones(1,component_size) ... + 0.5*ones(1,component_size) ... + -1*ones(1,component_size)]; + % normalized laplacian matrix + L = sparse(i,j,v,component_size,component_size); + for iteration = 1:smooth_iters + % simple 1.0 parameter + poly(component_index).x = ... + [1.0*L * poly(component_index).x + poly(component_index).x]; + poly(component_index).y = ... + [1.0*L * poly(component_index).y + poly(component_index).y]; + end + end + end + + + % total number of vertices + n = size(cat(1,poly.x),1); + more_exact_max_points = false; + + if more_exact_max_points + % loop over components + for ci = 1:size(poly,2) + % fraction of total + f = size(poly(ci).x,1)/n; + % target size for this component + new_size = round(f*max_points); + [n size(poly(ci).x,1) f new_size] + % binary search on tolerance + min_tol = 0; + max_tol = max(poly(ci).x)-min(poly(ci).x); + new_XY = [poly(ci).x poly(ci).y]; + while min_tol ~= max_tol + tol = (min_tol+max_tol)*0.5; + [min_tol max_tol tol size(new_XY,1) new_size] + new_XY = dpsimplify([poly(ci).x([1:end 1]) poly(ci).y([1:end 1])],tol); + abs(1-abs((size(new_XY,1)-1)/new_size)) + % if within 99.9% of goal then stop + if abs(1-abs((size(new_XY,1)-1)/new_size)) < 1e-1 + break; + elseif (size(new_XY,1)-1) > new_size + % too many --> increase tol + min_tol = tol; + elseif (size(new_XY,1)-1) < new_size + % too few --> decrease tol + max_tol = tol; + end + end + poly(ci).x = new_XY(1:(end-1),1); + poly(ci).y = new_XY(1:(end-1),2); + end + else + while(n > max_points) + % downsample each component + for component_index = 1:size(poly,2) + if(n < max_points) + break; + end + if(exist('max_points')) + % reduce number of points by half + poly(component_index).x = poly(component_index).x(1:2:end); + poly(component_index).y = poly(component_index).y(1:2:end); + component_size = size(poly(component_index).x,1); + end + % compute new total number of points + n = size(cat(1,poly.x),1); + end + end + end + + % convert poly struct to V,E,H + [V,E,H] = poly2VEH(poly); +end diff --git a/matlab/external/gptoolbox/mesh/point_inside_polygon.m b/matlab/external/gptoolbox/mesh/point_inside_polygon.m new file mode 100644 index 0000000..c320486 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/point_inside_polygon.m @@ -0,0 +1,75 @@ +function interior_point = point_inside_polygon(V) + % POINT_INSIDE_POLYGON return some point inside of the given polygon + % + % interior_point = point_inside_polygon(V) + % + % Input + % V n by 2 vertex array + % Output + % interior_point a point inside V + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + + assert(size(V,1) >= 3); + % start with a point above the polygon in the middle + p = 1.0 + [mean(V(:,1)) max(V(:,2))]; + + % first hits are just mid points on segments + first_hits = ... + [V(:,1) + V([end, 1:(end-1)],1) , ... + V(:,2) + V([end, 1:(end-1)],2)]/2; + + distance_to_p = ... + sum((repmat(p,size(first_hits,1),1) - first_hits).^2,2); + + first_hit = first_hits(distance_to_p == min(distance_to_p),:); + first_hit = first_hit(1,:); + + x1 = p(1); + y1 = p(2); + x2 = first_hit(1); + y2 = first_hit(2); + x3 = V(1:end,1); + y3 = V(1:end,2); + x4 = V([end, 1:(end-1)],1); + y4 = V([end, 1:(end-1)],2); + % Find intersections along this ray with each line segment's line + % from http://en.wikipedia.org/wiki/Line-line_intersection + second_hits = ... + [((x1.*y2-y1.*x2).*(x3-x4) - (x1-x2).*(x3.*y4-y3.*x4))./... + ((x1-x2).*(y3-y4) - (y1 - y2).*(x3-x4)), ... + ((x1.*y2-y1.*x2).*(y3-y4) - (y1-y2).*(x3.*y4-y3.*x4))./... + ((x1-x2).*(y3-y4) - (y1 - y2).*(x3-x4))]; + + % Check if intersection is really on line segment, handling vertical and + % horizontal lines + valid_second_hits = ... + second_hits( ... + ((second_hits(:,1) >= x3 & second_hits(:,1) <= x4 )| ... + (second_hits(:,1) <= x3 & second_hits(:,1) >= x4 ) | ... + (x3 == x4) ... + ) & ... + ((second_hits(:,2) >= y3 & second_hits(:,2) <= y4 )| ... + (second_hits(:,2) <= y3 & second_hits(:,2) >= y4 ) | ... + (y3 == y4) ... + ) & ~((x3 == x4)&(y3 == y4))... + ,:); + + distance_to_first_hit = ... + sum((repmat(first_hit,size(valid_second_hits,1),1) - ... + valid_second_hits).^2,2); + + EPSILON = 10.0^-15; + valid_second_hits = ... + valid_second_hits(distance_to_first_hit>EPSILON,:); + distance_to_first_hit = ... + distance_to_first_hit(distance_to_first_hit>EPSILON,:); + + second_hit = valid_second_hits(... + distance_to_first_hit == min(distance_to_first_hit),:); + % shouldn't have to do this: + second_hit = second_hit(1,:); + + interior_point = (first_hit + second_hit)/2; + +end diff --git a/matlab/external/gptoolbox/mesh/point_visible.m b/matlab/external/gptoolbox/mesh/point_visible.m new file mode 100644 index 0000000..0af54f2 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/point_visible.m @@ -0,0 +1,99 @@ +function [flag] = point_visible(V,F,o,heuristic_ratio) + % POINT_VISIBLE test whether vertices of mesh are visible to a set of + % points + % + % [flag] = point_visible(V,F,o) + % + % Input: + % V #V by 3 list of vertex positions + % F #F by 3 list of triangle indices + % o row vector of position to test + % Output: + % flag #V by 1 list of bools (true) visible, (false) obstructed + % + + dim = size(V,2); + % Try to use accelerated bone_visible code + if dim == 3 && 3==exist('bone_visible_embree','file') + flag = bone_visible_embree(V,F,o,o); + % otherwise try to use mex bone_visible code + elseif dim ==3 && 3==exist('bone_visible','file') + warning('Using non accelerated visibility test'); + flag = bone_visible(V,F,o,o); + % otherwise use super slow matlab code + else + warning('Using non accelerated, pure matlab visibility test'); + + + assert(size(o,2) == dim); + assert(size(F,2) == 3); + % number of mesh vertices + nv = size(V,1); + + if dim == 2 + % get polygon edges of outline of 2D mesh + O = outline(F); + end + + if(exist('heuristic_ratio','var')) + indices = randperm(nv); + if(heuristic_ratio < 1) + indices = indices(1:round(heuristic_ratio*nv)); + else + indices = indices(1:round(heuristic_ratio)); + end + flag = 0.5+eps + zeros(nv,1); + else + indices = 1:nv; + flag = zeros(nv,1); + end + + % loop over mesh vertices + for jj_i = 1:numel(indices) + progressbar(jj_i,numel(indices)); + jj = indices(jj_i); + % query point, can o see q ? + vjj = V(jj,:); + + dir = vjj-o; + + + if dim == 3 + % extract triangles not containing jj + Fmjj = F( all(F~=jj,2),:); + %Fmjj = F; + % shoot ray from o to q and see if any triangles not containing query get + % hit + %[hitc,tc] = mexray_mesh_intersect(o,dir,V,Fmjj); + [hit,t] = ray_mesh_intersect(o,dir,V,Fmjj); + elseif dim == 2 + Omjj = O( all(O~=jj,2),:); + [hit,t] = ray_polygon_intersect(o,dir,V,Omjj); + else + error('Bad dimension'); + end + + %vjj-o + %meshplot(V,F,'FC',repmat(hit,1,3)) + dir_mag = sqrt(sum(dir.^2,2)); + flag(jj) = ~any(t(hit) < dir_mag); + end + + if(exist('heuristic_ratio','var')) + L = adjacency_matrix(F); + L = L - diag(sum(L)); + i = 0; + while(any(flag == (0.5+eps))) + flag = flag+0.08*L*flag; + flag(flag ~= (0.5+eps)) = round(flag(flag ~= (0.5+eps))); + i = i +1; + end + i + %L = cotmatrix(V,F); + %I = speye(nv,nv); + %L(indices,:) = I(indices,:); + %flag = (L\flag)>0.5; + end + + end +end diff --git a/matlab/external/gptoolbox/mesh/poly2VEH.m b/matlab/external/gptoolbox/mesh/poly2VEH.m new file mode 100644 index 0000000..d31ddd8 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/poly2VEH.m @@ -0,0 +1,54 @@ +function [V,E,H,h] = poly2VEH(poly) + % POLY2VEH convert poly struct array to vertex, edge and hole lists + % + % [V,E,H,h] = poly2VEH(poly) + % Input: + % poly struct array for each component of polygon boundary. Each struct + % contains a loop of vertices (x,y) and a flag for whether this is an + % inner hole + % Output: + % V #V by 2 list of polygon vertices + % E #E by 2 list of polygon edge indices + % H #H by 2 list of hole positions + % + % This has the problem that it is throwing away the information about which + % sets of edges are inner boundaries + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also: png2poly + % + + V = []; + E = []; + H = []; + H + components = size(poly,2); + % loop over components collecting vertices, edges, and holes + for component_index = 1:components + % component should constitute at least one triangle + if(size(poly(component_index).x,1) >=3) + component_vertices = ... + [poly(component_index).x, poly(component_index).y]; + V = [V; component_vertices]; + component_E = ... + [ 1:size(poly(component_index).x,1) ;... + [size(poly(component_index).x,1), ... + 1:(size(poly(component_index).x,1)-1)]]'; + E = [E ; ... + size(E,1) + component_E(:,1) , ... + size(E,1) + component_E(:,2) ]; + if poly(component_index).hole == 1 + % find point inside polygon to be hole marker + poly(component_index) + component_hole = ... + point_inside_polygon(component_vertices); + H = [H; component_hole]; + end + end + end + + if(size(H,1) >= size(poly,2)) + warning('Number of holes >= number of components. Something is wrong...'); + end +end diff --git a/matlab/external/gptoolbox/mesh/poly2mesh.m b/matlab/external/gptoolbox/mesh/poly2mesh.m new file mode 100644 index 0000000..58f422c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/poly2mesh.m @@ -0,0 +1,36 @@ +function [V,F] = poly2mesh(filename,minimum_angle,maximum_area) + % POLY2MESH Triangulate interoir of polygon read from .poly file using + % Triangle + % + % + % [V,F] = poly2mesh(filename,minimum_angle,maximum_area) + % + % Inputs: + % filename path to .poly file + % minimum_angle minimum angle parameter for Triangle + % maximum_area maximum area parameter for Triangle + % + % Outputs: + % V #vertices by 2, list of vertex positions + % F #faces by 3, list of face indices + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also: png2objandtga, png2poly, writePOLY, poly2VEH, triangle + % + warning('THIS FILE IS DEPRECATED. CALL TRIANGLE.M DIRECTLY INSTEAD'); + basename = regexprep(filename,'\.poly$',''); + + minimum_angle_args = ''; + if(exist('minimum_angle')) + minimum_angle_args = ['q' num2str(minimum_angle)]; + end + maximum_area_args = ''; + if(exist('maximum_area')) + maximum_area_args = ['a' num2str(maximum_area)]; + end + + % use triangle to triangulate interior + command_line_args = ['-p' minimum_angle_args maximum_area_args]; + [V,F] = execute_triangle(command_line_args,basename); +end diff --git a/matlab/external/gptoolbox/mesh/prebiharmonic.m b/matlab/external/gptoolbox/mesh/prebiharmonic.m new file mode 100644 index 0000000..ce4c008 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/prebiharmonic.m @@ -0,0 +1,118 @@ +function D = prebiharmonic( W,L,a,t,k) +% PREBIHARMONIC Compute the pre-biharmonic kernel SGP 2011 - Raif Rustamov - +% Multiscale Biharmonic Kernels +% +% D = prebiharmonic(W,L,t,k) +% +% Input: +% W #V by #V sparse Area weight per vertex (see massmatrix) +% L #V by #V sparse Cotan matrix (see cotmatrix) +% t Size of support (0..1) +% a Total area of the surface +% k source vertex +% Outputs: +% D #V list of kernel values +% +% Example: +% [V,F] = readOBJ('woody.obj'); +% W = massmatrix(V,F,'voronoi'); +% L = cotmatrix(V,F); +% a = sum(doublearea(V,F))/2.0; +% d = prebiharmonic(W,L,a,0.5,1); + + + +% Scale the t parameter +t = a*t; + +% Number of vertices +n = size(W,1); + +% x = [f,r] + +%% Energy +% 1/2 x'Qx + c'x + +% Q = | 0 0 | +% | 0 2W^-1 | + +[i,j,v] = find(W); +i = i+n; +j = j+n; +v = 2.*(ones(n,1)./v); +Q = sparse(i,j,v,2*n,2*n); + +c = zeros(2*n,1); + +%% Constraints +% lc <= Ax <= uc +% lx <= x <= ux + +% Init +%[~,~,w] = find(2.*ones(n,1)./v); +[~,~,w] = find(W); +Ai = []; Aj = []; Av = []; +lc = []; uc = []; +cur = 1; +lx = -Inf(2*n,1); ux = Inf(2*n,1); +z0 = zeros(n,1); + +% (a) w'f <= t --- single row +[i,j,v] = find([w' z0']); +Ai = [Ai; i'+cur-1]; +Aj = [Aj; j']; +Av = [Av; v']; +lc = [lc; -inf]; +uc = [uc; t]; +cur = cur+1; + +% (b) lx(k)=ux(h)=1 +lx(k) = 1; +ux(k) = 1; + +% (c) Lf-r=0 --- n rows +% becomes [L -eye(n,n)] + +%L +[i,j,v] = find(L); +Ai = [Ai; i+cur-1]; +Aj = [Aj; j]; +Av = [Av; v]; + +% -eye(n,n) +i = (1:n)'; +j = ((1:n)+n)'; +v = -ones(n,1); +Ai = [Ai; i+cur-1]; +Aj = [Aj; j]; +Av = [Av; v]; + +lc = [lc; zeros(n,1)]; +uc = [uc; zeros(n,1)]; +cur = cur+n; + +% (d) f >= 0 --- n rows +%[i,j,v] = find([eye(n,n), zeros(n,n)]); +i = (1:n)'; +j = (1:n)'; +v = ones(n,1); + +Ai = [Ai; i+cur-1]; +Aj = [Aj; j]; +Av = [Av; v]; +lc = [lc; zeros(n,1)]; +uc = [uc; Inf(n,1)]; +cur = cur+n; + +% build the sparse matrix A +A = sparse(Ai,Aj,Av,cur-1,n*2); + +%% Optimize the QP problem +param.MSK_IPAR_LOG = 0; + +[res] = mskqpopt(Q,c,A,lc,uc,lx,ux,param); +D = res.sol.itr.xx(1:n); + + +end + diff --git a/matlab/external/gptoolbox/mesh/project_point_to_line_segment.m b/matlab/external/gptoolbox/mesh/project_point_to_line_segment.m new file mode 100644 index 0000000..dc29a34 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/project_point_to_line_segment.m @@ -0,0 +1,39 @@ +function [q] = project_point_to_line_segment(A,B,p) + % PROJECT_POINT_TO_LINE_SEGMENT Project a point p onto a line segment AB. + % + % Inputs: + % A #A by dim list of source points + % B #A by dim list of dest points + % p point in dim-space + % Output: + % q closest point to p on the line segment from A to B in dim-space + % + warning('Deprecated. Call project_to_lines'); + + % vector from A to B + AB = (B-A); + % squared distance from A to B + AB_squared = dot(AB,AB); + if(AB_squared == 0) + % A and B are the same point + q = A; + else + % vector from A to p + Ap = (p-A); + % from http://stackoverflow.com/questions/849211/ + % Consider the line extending the segment, parameterized as A + t (B - A) + % We find projection of point p onto the line. + % It falls where t = [(p-A) . (B-A)] / |B-A|^2 + t = dot(Ap,AB)/AB_squared; + if (t < 0.0) + % "Before" A on the line, just return A + q = A; + else if (t > 1.0) + % "After" B on the line, just return B + q = B; + else + % projection lines "inbetween" A and B on the line + q = A + t * AB; + end + end +end diff --git a/matlab/external/gptoolbox/mesh/project_to_lines.m b/matlab/external/gptoolbox/mesh/project_to_lines.m new file mode 100644 index 0000000..d26a4dd --- /dev/null +++ b/matlab/external/gptoolbox/mesh/project_to_lines.m @@ -0,0 +1,94 @@ +function [T,sqrD] = project_to_lines(P,S,D,varargin) + % PROJECT_TO_LINES project points onto vectors, that is find the paramter + % t for a point p such that proj_p = (y-x).*t, additionally compute the + % sqaured distance from p to the line of the vector, such that + % |p - proj_p|² = sqr_d + % + % [T,sqrD] = project_to_lines(P,S,D) + % [T,sqrD] = project_to_lines(P,S,D,'ParameterName',ParameterValue, ...) + % + % Inputs: + % P #P by dim list of points to be projected + % S #vectors by dim list of start positions of each vector + % D #vectors by dim list of destination positions of each vector + % Optional: + % 'Segments' followed by whether to project onto line segments (between S + % and D) {false} + % Outputs: + % T #P by #vectors list of parameters for each pair of points in p and + % vectors in (S,D) + % sqrD #P by #vectors list of squared distances for each paint of points + % in p and vectors in (S,D) + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + + % default values + segments = false; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Segments'}, ... + {'segments'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + % number of dimensions + dim = size(P,2); + assert(dim == size(S,2)); + assert(dim == size(D,2)); + % number of vectors + nv = size(S,1); + assert(nv == size(D,1)); + % number of points + np = size(P,1); + if(nv == 1 && np == 1) + % optimize case where we're just handling one point projected onto one line + DmS = D-S; + v_sqrlen = sum((DmS).^2,2); + T = - sum((S-P).*(DmS)) ./ v_sqrlen; + if segments + T = min(max(T,0),1); + end + if(nargout > 1) + sqrD = sum((P - ( (1-T) .* S + T .* D)).^2); + end + else + + % http://mathworld.wolfram.com/Point-LineDistance3-Dimensional.html + % points as seen by each edge P(i,j,:) gives coordinates of + % mesh vertex i seen by jth vector + PV = permute(repmat(P,[1 1 nv]),[1 3 2]); + % Closest vertex positions of edge start and end points on domain mesh as + % seen by each domain vertex E1P(i,j,:) gives coordinates of + % start point coordinates of jth edge as seen by mesh vertex i + SP = permute(repmat(S,[1 1 np]),[3 1 2]); + DP = permute(repmat(D,[1 1 np]),[3 1 2]); + % sqred length of each edge, v_sqrlen(j) gives squared length of each edge + v_sqrlen = sum((S-D).^2,2); + % Parameter t for each point on each edge's line equation, t(i,j) tells where + % to find projection of mesh vertex j onto line of edge i, parameterized + % linearly from start point (t=0) to end point (t=1) + T = - dot(SP-PV,DP-SP,3)./ repmat(v_sqrlen',[np 1]); + + if segments + T = min(max(T,0),1); + end + if(nargout > 1) + % t seen by each coordinate + Tdim = repmat(T,[1 1 dim]); + % sqrD(i,j) tells squared distance from point i to line of vector j + sqrD = sum((PV - ( (1-Tdim) .* SP + Tdim .* DP)).^2,3); + end + end +end diff --git a/matlab/external/gptoolbox/mesh/quadrature_points.m b/matlab/external/gptoolbox/mesh/quadrature_points.m new file mode 100644 index 0000000..41313f5 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/quadrature_points.m @@ -0,0 +1,51 @@ +function Q = quadrature_points(V,F,k) + % QUADRATURE_POINTS Sample quadrature points on a triangle or tetrahedron. + % + % Q = quadrature_points(V,F) + % + % Inputs: + % V #V by dim list of vertex positions + % F #F by simplex-size list of indices into V + % k number of quadrature points {1,3,6} + % Outputs: + % Q #F by dim by k list of quadrature points + % w #k list of weights + % + % Example: + % Q = quadrature_points(V,F); + % QQ = reshape(permute(Q,[1 3 2]),[],3); + % QQQ = permute(reshape(QQ,permute(size(Q),[1 3 2])),[1 3 2]); + % max(abs(Q-QQQ)) + % + % See also: barycenter + % + + % Compute element quadrature points + % "A SET OF SYMMETRIC QUADRATURE RULES ON TRIANGLES AND TETRAHEDRA", Table 2.2 + dim = size(V,2); + ss = size(F,2); + switch ss + case 3 + switch k + case 1 + lambda = [1/3 1/3 1/3]; + case 3 + %a = 0.5; + a = 0.15; + lambda = unique(perms([a a 1-2*a]),'rows'); + case 6 + a = 0.05; + b = 0.1; + lambda = unique(perms([a b 1-a-b]),'rows'); + otherwise + error(sprintf('Unsupported number of quadratures %d',k)); + end + % uniform weights + w = ones(size(lambda,1),1)/size(lambda,1); + QQ = cat(4,V(F(:,1),:),V(F(:,2),:),V(F(:,3),:)); + otherwise + error(sprintf('Unsupported simplex-size %d',ss)); + end + lambda = permute(lambda,[3 4 1 2]); + Q = sum(bsxfun(@times,QQ,lambda),4); +end diff --git a/matlab/external/gptoolbox/mesh/quat2mat.m b/matlab/external/gptoolbox/mesh/quat2mat.m new file mode 100644 index 0000000..ce31cac --- /dev/null +++ b/matlab/external/gptoolbox/mesh/quat2mat.m @@ -0,0 +1,49 @@ +function [R] = quat2mat(q) + % QUAT2MAT convert quaternions to 3d rotation matrices + % + % [R] = quat2mat(q) + % + % Input: + % q is an m by 4 list of normalized quaternions, [1 i j k] + % Output: + % R is a 3 by 3 by m list of rotation matrices + % + % See: + % http://en.wikipedia.org/wiki/ + % Conversion_between_quaternions_and_Euler_angles#Rotation_matrices + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + + assert(size(q,2) == 4); + + R = zeros(3,3,size(q,1)); + R(1,1,:) = q(:,1).^2 + q(:,2).^2 - q(:,3).^2 - q(:,4).^2; + R(1,2,:) = 2*(q(:,2).*q(:,3) - q(:,1).*q(:,4)); + R(1,3,:) = 2*(q(:,1).*q(:,3) + q(:,2).*q(:,4)); + R(2,1,:) = 2*(q(:,2).*q(:,3) + q(:,1).*q(:,4)); + R(2,2,:) = q(:,1).^2 - q(:,2).^2 + q(:,3).^2 - q(:,4).^2; + R(2,3,:) = 2*(q(:,3).*q(:,4) - q(:,1).*q(:,2)); + R(3,1,:) = 2*(q(:,2).*q(:,4) - q(:,1).*q(:,3)); + R(3,2,:) = 2*(q(:,1).*q(:,2) + q(:,3).*q(:,4)); + R(3,3,:) = q(:,1).^2 - q(:,2).^2 - q(:,3).^2 + q(:,4).^2; + + %yy2 = 2.0 .* q(:,2) .* q(:,2); + %xy2 = 2.0 .* q(:,1) .* q(:,2); + %xz2 = 2.0 .* q(:,1) .* q(:,3); + %yz2 = 2.0 .* q(:,2) .* q(:,3); + %zz2 = 2.0 .* q(:,3) .* q(:,3); + %wz2 = 2.0 .* q(:,4) .* q(:,3); + %wy2 = 2.0 .* q(:,4) .* q(:,2); + %wx2 = 2.0 .* q(:,4) .* q(:,1); + %xx2 = 2.0 .* q(:,1) .* q(:,1); + %R(1,1,:) = - yy2 - zz2 + 1; + %R(1,2,:) = xy2 + wz2; + %R(1,3,:) = xz2 - wy2; + %R(2,1,:) = xy2 - wz2; + %R(2,2,:) = - xx2 - zz2 + 1; + %R(2,3,:) = yz2 + wx2; + %R(2,1,:) = xz2 + wy2; + %R(2,2,:) = yz2 - wx2; + %R(2,3,:) = - xx2 - yy2 + 1; +end diff --git a/matlab/external/gptoolbox/mesh/quattrans2udq.m b/matlab/external/gptoolbox/mesh/quattrans2udq.m new file mode 100644 index 0000000..29383c1 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/quattrans2udq.m @@ -0,0 +1,28 @@ +function UDQ = quattrans2udq(Q,T) + % QUATTRANS2UDQ Convert a rotation stored as a quaternion and a translation + % to a dual quaternion + % + % UDQ = quattrans2udq(Q,T) + % + % Inputs: + % Q list of rotations stored as quaternions, one for each control + % #controls by 4 (1,i,j,k) + % T list of translations stored as vectors, one for each control + % #controls by 3 + % Output: + % UDQ list of rigid transformations for each control point stored as dual + % quaternions + % 2 by 4 #controls + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch), Ladislav Kavan + % + + % Adapted from: http://isg.cs.tcd.ie/kavanl/dq/dqconv.c + % non-dual part (just copy Q) + UDQ(1,:,:) = Q'; + % dual part + UDQ(2,1,:) = -0.5*( T(:,1).*Q(:,2) + T(:,2).*Q(:,3) + T(:,3).*Q(:,4)); + UDQ(2,2,:) = 0.5*( T(:,1).*Q(:,1) + T(:,2).*Q(:,4) - T(:,3).*Q(:,3)); + UDQ(2,3,:) = 0.5*(-T(:,1).*Q(:,4) + T(:,2).*Q(:,1) + T(:,3).*Q(:,2)); + UDQ(2,4,:) = 0.5*( T(:,1).*Q(:,3) - T(:,2).*Q(:,2) + T(:,3).*Q(:,1)); +end diff --git a/matlab/external/gptoolbox/mesh/random_points_on_mesh.m b/matlab/external/gptoolbox/mesh/random_points_on_mesh.m new file mode 100644 index 0000000..4286d2f --- /dev/null +++ b/matlab/external/gptoolbox/mesh/random_points_on_mesh.m @@ -0,0 +1,122 @@ +function [N,I,B,r] = random_points_on_mesh(V,F,n,varargin) + % RANDOM_POINTS_ON_MESH Uniform random sampling of a mesh. + % + % N = random_points_on_mesh(V,F,n) + % [N,I,B,r] = random_points_on_mesh(V,F,n,'ParameterName',parameter_value,...) + % + % Inputs: + % V #V by dim list of vertex positions + % F #F by 3 list of triangle indices into V + % n number of samples + % Optional: + % 'Color' followed by "color of noise", one of: + % {'white'} uniform random noise + % 'blue' approximate blue noise via approximate Poisson disk sampling + % 'MaxIter' followed by maximum number of iterations, only applicable + % for blue noise. + % 'Bias' **experimental** followed by #F list of biases per triangle + % {doublearea(V,F)}. This bias is a little funny because it effects + % the sampling, but not the distances...probably it gets "washed out" + % by the iterations. + % Outputs: + % N n by dim list of sample positions + % I n list of face indices upon which N are + % B n by 3 list of barycentric coordinates so that: + % N = ... + % bsxfun(@times,B(:,1),V(F(I,1),:)) + ... + % bsxfun(@times,B(:,2),V(F(I,2),:)) + ... + % bsxfun(@times,B(:,3),V(F(I,3),:)); + % r radius used for blue noise sampling + % + % See also: farthest_points + % + + % default values + color = 'white'; + max_iter = 100; + A = []; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Color','MaxIter','Bias'}, ... + {'color','max_iter','A'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + if isempty(A) + A = doublearea(V,F); + end + + assert(size(A,1) == size(F,1)); + + switch color + case 'white' + A = A./sum(A); + A0 = [0;A]; + C = cumsum(A0); + R = rand(n,1); + [~,I] = histc(R,C); + S = rand(n,1); + T = rand(n,1); + B = [1-sqrt(T) (1-S).*sqrt(T) S.*sqrt(T)]; + N = ... + bsxfun(@times,B(:,1),V(F(I,1),:)) + ... + bsxfun(@times,B(:,2),V(F(I,2),:)) + ... + bsxfun(@times,B(:,3),V(F(I,3),:)); + case 'blue' + % This is a "cheap hack" way of getting something like Poisson-Disk + % sampling which approximates a blue noise sampling. + k = 10; + BV = biharmonic_embedding(V,F,k); + randsample = @(n) random_points_on_mesh(V,F,n,'Color','white','Bias',A); + embed = @(N,I,B) ... + bsxfun(@times,B(:,1),V(F(I,1),:)) + ... + bsxfun(@times,B(:,2),V(F(I,2),:)) + ... + bsxfun(@times,B(:,3),V(F(I,3),:)); + % initial sampling + [N,I,B] = randsample(n); + BN = embed(N,I,B); + % Expected radius + [~,D] = knnsearch(BN,BN,'K',2); + D = D(:,2); + %r = mean(D); + r = mean(D)*sqrt(2); + + for iter = 1:max_iter + % Maybe `rangesearch` would be faster + % + % Should only query new points... + [kI,D] = knnsearch(BN,BN,'K',2); + % Discard first match: always self + kI = kI(:,2); + D = D(:,2); + % Find darts to rethrow, first of each pair with small distance + rethrow = unique(kI( kI>(1:numel(kI))' & D-epsilon & a1.0) = 0; + + %t = f.*dot(e32,r,2); % verified! + t = f.*dot2(e32,r); % verified! + flag(t < 0) = 0; + + function r = dotrow(a,b) + % Computes dot product of rows in a against b. + % optimizes r = dot(a,repmat(b,size(a,1),1),2) + r = a(:,1).*b(1,1) + a(:,2).*b(1,2) + a(:,3).*b(1,3); + end + + function r = crossrow(a,b) + % Computes cross product of rows in a against b. + % optimizes r = cross(a,repmat(b,size(a,1),1),2) + r =[a(:,2).*b(1,3)-a(:,3).*b(1,2), ... + a(:,3).*b(1,1)-a(:,1).*b(1,3), ... + a(:,1).*b(1,2)-a(:,2).*b(1,1)]; + end + + function r = plusrow(a,b) + % Computes sum rows in a with b. + % optimizes r = a + repmat(b,size(a,1),1) + r = [a(:,1)+b(1,1) a(:,2)+b(1,2) a(:,3)+b(1,3)]; + end + + function r = dot2(a,b) + % Optimizes r = dot(a,b,2), that is it computes dot products per row + % Faster than dot if I know that I'm calling it correctly + r = sum(a.*b,2); + end + function r = cross2(a,b) + % Optimizes r = cross(a,b,2), that is it computes cross products per row + % Faster than cross if I know that I'm calling it correctly + r =[a(:,2).*b(:,3)-a(:,3).*b(:,2), ... + a(:,3).*b(:,1)-a(:,1).*b(:,3), ... + a(:,1).*b(:,2)-a(:,2).*b(:,1)]; + end +end + diff --git a/matlab/external/gptoolbox/mesh/ray_polygon_intersect.m b/matlab/external/gptoolbox/mesh/ray_polygon_intersect.m new file mode 100644 index 0000000..518f650 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/ray_polygon_intersect.m @@ -0,0 +1,81 @@ +function [flag, t, lambda] = ray_polygon_intersect(o,d,V,E) +% RAY_POLYGON_INTERSECT 2D Ray/polygon intersection +% +% [flag, t, lambda] = ray_polygon_intersect(o,d,V,E) +% +% Input: +% o 2D vector ray origin. +% d 2D vector ray direction. +% V #V by 2 list of vertex positions +% E #E by 2 list of edge indices +% Output: +% flag #E list of bools: (false) Reject, (true) Intersect. +% t #E list of distances from the ray origin. +% lambda #E list of parameter of hit between E(:,1) and E(:,2) +% + + epsilon = eps;%0.00001; + + assert(size(V,2) == 2); + assert(size(E,2) == 2); + % number of edges + m = size(E,1); + assert(numel(d) == 2); + % make direction a row vector + d = reshape(d,1,2); + %d = normalizerow(d); + d = d ./ sqrt(sum(d.^2,2)); + assert(numel(o) == 2); + % make origin a row vector + o = reshape(o,1,2); + + p1 = V(E(:,1),:); + p2 = V(E(:,2),:); + % edge vectors from 1 to 2 + e12 = p2-p1; + % perpendiculars of edge vectors + pe12 = perp(e12); + + + % p1 minus o + p1mo = plusrow(p1,-o); + % pe12 dot d + pe12dd = dotrow(pe12,d); + % perp d + pd = perp(d); + + % project to edges + % http://objectmix.com/graphics/132701-ray-line-segment-intersection-2d.html + t = dot2(pe12,p1mo)./pe12dd; + lambda = dotrow(plusrow(-p1,o+d),pd)./dotrow(e12,pd); + %lambda = dotrow(perp(d),p1mo)./pe12dd; + + flag = true(m,1); + flag(lambda > 1) = 0; + flag(lambda < 0) = 0; + flag(t < 0) = 0; + + function u = perp(v) + % [x,y] = [y,-x] + u = [v(:,2),-v(:,1)]; + end + + function r = dot2(a,b) + % Optimizes r = dot(a,b,2), that is it computes dot products per row + % Faster than dot if I know that I'm calling it correctly + r = sum(a.*b,2); + end + + function r = dotrow(a,b) + % Computes dot product of rows in a against b. + % optimizes r = dot(a,repmat(b,size(a,1),1),2) + r = a(:,1).*b(1,1) + a(:,2).*b(1,2); + end + + function r = plusrow(a,b) + % Computes sum rows in a with b. + % optimizes r = a + repmat(b,size(a,1),1) + r = [a(:,1)+b(1,1) a(:,2)+b(1,2)]; + end + +end diff --git a/matlab/external/gptoolbox/mesh/readBDL.m b/matlab/external/gptoolbox/mesh/readBDL.m new file mode 100644 index 0000000..81d2b5d --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readBDL.m @@ -0,0 +1,75 @@ +function bundle = readBDL(filename) +% READBDL Read mesh(es) from a .bdl bundle file +% +% bundle = readBDL(filename) +% +% Input: +% filename path to .bdl file +% Outputs: +% bundle struct containing mesh data + + function mesh = readBDLMeshChunk(fp) + % read a mesh chunk from a file stream + % + % Usage: + % mesh = readMeshChunk( fp) + % + % mesh fields: + % V (required) vertices + % F faces + % col colors + % baseColor a single color for the whole mesh + % UV uv coords + + magicID = fread(fp, 1, 'uint32'); + chunkSize = fread(fp, 1, 'int64'); + nV = fread(fp, 1, 'uint32'); + nF = fread(fp, 1, 'uint32'); + nVperFace = fread(fp, 1, 'uint32'); + nCperPos = fread(fp, 1, 'uint32'); + nCperUV = fread(fp, 1, 'uint32'); + nCperCol = fread(fp, 1, 'uint32'); + nCperNor = fread(fp, 1, 'uint32'); + strip = fread(fp, 1, 'uchar'); + mesh.baseColor = fread(fp, 4, 'float32'); + + mesh.V = fread(fp, [nCperPos,nV],'float32'); + mesh.V = mesh.V'; + mesh.UV = fread(fp, [nCperUV,nV], 'float32'); + mesh.UV = mesh.V'; + mesh.col = fread(fp, [nCperCol,nV],'float32'); + mesh.col = mesh.col'; + if nCperNor ~= 0 && nCperNor ~= 3 + error('nCperNor has to be 0 or 3') + end + if nCperNor == 3 + mesh.nor = fread(fp, [nCperNor,nV],'float32'); + mesh.nor = mesh.nor'; + end + mesh.F = fread(fp, [nVperFace,nF],'uint32'); + mesh.F = mesh.F+1; + end + + + + fp = fopen(filename,'r'); + if fp == -1 + error('could not open file') + end + + chunk = 1; + while ~feof(fp) + magicID = fread(fp,1,'uint32'); + if feof(fp) + break + end + bck = -sizeof('uint32'); + fseek(fp, bck, 'cof'); + if magicID == 1 + bundle.meshes{chunk} = readBDLMeshChunk(fp); + chunk = chunk+1; + else + chunkSize = fread(fp, 1, 'uint64'); + fseek(fp, chunkSize, 'cof'); + end + end diff --git a/matlab/external/gptoolbox/mesh/readEDGE.m b/matlab/external/gptoolbox/mesh/readEDGE.m new file mode 100644 index 0000000..e692b15 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readEDGE.m @@ -0,0 +1,71 @@ +function [E,RP,RD] = readEDGE(edge_file_name) + % READEDGE read .edge file used by Triangle program to output edges of + % voronoi diagrams + % + % [E,RP,RD] = readedge(edge_file_name) + % + % Input: + % edge_file_name input file name + % + % Output: + % E #E by 2 list of voronoi internal edges + % RP #RP by 1 list of voronoi infinite ray start points + % RD #RP by 2 list of voronoi infinite direction vectors + % + % Example: + % D = readNODE(data_node_file); + % V = readNODE(voronoi_node_file); + % [E,RP,RD] = readEDGE(voronoi_edge_file); + % RD = normalizerow(RD); + % offset = 2*max(sqrt(sum((V(E(:,1),:)-V(E(:,2),:)).^2,2))); + % EX = [V(E(:,1),1),V(E(:,2),1); V(RP,1) V(RP,1)+offset*RD(:,1)]'; + % EY = [V(E(:,1),2),V(E(:,2),2); V(RP,2) V(RP,2)+offset*RD(:,2)]'; + % h = plot(EX,EY,'-',D(:,1),D(:,2),'.'); + % set(h(1:end-1),'xliminclude','off','yliminclude','off'); + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also readNODE + % + + edge_file_handle = fopen(edge_file_name); + header = fscanf(edge_file_handle,'%d %d',2); + % number of edge lines + num_e = header(1); + % number of attributes + num_a = header(2); + if(num_a ~= 0) + error('Attributes are not supported.'); + end + + E = []; + RP = []; + RD = []; + min_e = inf; + while(true) + % read next whole line + line = fscanf(edge_file_handle,' %[^\n]s'); + [e,count] = sscanf(line,'%d %d %d %g %g %g',6); + if(count == 3) + E = [E;e(2) e(3)]; + elseif(count == 6) + assert(e(3) == -1); + RP = [RP; e(2)]; + RD = [RD; e(4) e(5) e(6)]; + elseif(count == 5) + assert(e(3) == -1); + RP = [RP; e(2)]; + RD = [RD; e(4) e(5)]; + else + break; + end + min_e = min([e(1) min_e]); + end + % adjust for 0-based indices + if(min_e == 0) + E = E + 1; + RP = RP + 1; + end + fclose(edge_file_handle); +end + diff --git a/matlab/external/gptoolbox/mesh/readELE.m b/matlab/external/gptoolbox/mesh/readELE.m new file mode 100644 index 0000000..d3a73f5 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readELE.m @@ -0,0 +1,57 @@ +function [E,A] = readELE(ele_file_name) + % READELE Read (face or tet) elements from a .ele file, used by Stellar and + % Triangle + % + % [E,A] = readELE(ele_file_name) + % + % Input: + % ele_file_name path to .ele file + % + % Output: + % E list of element indices, could be triangles or tets based + % on header of .ele file + % A #E by num_attributes list of attributes. + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also readNODE + % + + ele_file_handle = fopen(ele_file_name); + line = fscanf(ele_file_handle,' %[^\n]s'); + [header,count] = sscanf(line,'%d %d %d',3); + % number of elements + num_e = header(1); + % size of an element + size_e = header(2); + % number of attributes + if(count > 2) + num_a = header(3); + else + num_a = 0; + end + %if(num_a ~= 0) + % error('Attributes are not supported.'); + %end + + % line always start with row index + parser = '%d'; + num_items = 1; + if(size_e < 1) + error(['Size of an element must be at least one, not ' num2str(size_e)]); + end + % append to parser enough to read all entries in element + parser = [parser repmat(' %d',1,size_e+num_a)]; + num_items = num_items + size_e + num_a; + E = fscanf(ele_file_handle,parser,[num_items, num_e])'; + fclose(ele_file_handle); + + % get rid of row indices + offset = 1-min(min(E(:,1)),1); + if offset + warning('Offseting indices by %d',offset); + end + E = E(:,1+(1:size_e))+offset; + A = E(:,(1+size_e)+1:num_a); +end + diff --git a/matlab/external/gptoolbox/mesh/readFACE.m b/matlab/external/gptoolbox/mesh/readFACE.m new file mode 100644 index 0000000..66ed259 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readFACE.m @@ -0,0 +1,33 @@ +function [F,B] = readFACE(filename) + % READFACE + % + %[F,B] = readFACE(filename) + % + % Read triangular faces from a .face file + % Input: + % filename name of .face file + % Output: + % F list of triangle indices + % B list of boundary markers + fp = fopen(filename,'r'); + header = fscanf(fp,'%d %d',2); + sizeF = header(1); + boundary_markers = header(2); + parser = '%d %d %d %d'; + num_items = 4; + if(boundary_markers ~= 0) + parser = [parser ' %d']; + num_items = 5; + end + + F = fscanf(fp,parser,num_items*sizeF); + fclose(fp); + + F = reshape(F,num_items,sizeF)'; + B = []; + if boundary_markers + B = F(:,5); + end + % get rid of indices and boundary markers and make one indexed + F = F(:,2:4); +end diff --git a/matlab/external/gptoolbox/mesh/readIPI.m b/matlab/external/gptoolbox/mesh/readIPI.m new file mode 100644 index 0000000..47f60c9 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readIPI.m @@ -0,0 +1,78 @@ +function [N,P,M,abs_M] = readIPI(filename) + % READIPI read ipiSofts skeleton format + % + % [N,P,M,abs_M] = readIPI(filename) + % + % Inputs: + % filename path to ipiSoft file + % Outputs: + % N #B cell of bone names + % P #B list of parent indices (0 means root) + % M 4 by 4 by #B list of relative transform matrices + % abs_M 4 by 4 by #B list of absolute transform matrices + % + fp = fopen(filename,'r'); + line = eat_comments(fp,'#'); + fscanf(fp,'\n'); + while true + ii = 1; + % read id number + line = line(ii:end); + [id,count,e,ii] = sscanf(line,'%d ',1); + if count ~= 1 + error('Bad format'); + break; + end + + % read name + line = line(ii:end); + [name,count,e,ii] = sscanf(line,'%s ',1); + if count ~= 1 + error('Bad format'); + break; + end + N{id} = name; + + % read parent + line = line(ii:end); + [p,count,e,ii] = sscanf(line,'%d ',1); + if count ~= 1 + error('Bad format'); + break; + end + P(id) = p; + + % read parent + line = line(ii:end); + [m,count,e,ii] = sscanf(line,'%g ',16); + if count ~= 16 + error('Bad format'); + break; + end + M(:,:,id) = reshape(m,4,4)'; + + line = fgets(fp); + if line == -1 + break; + end + end + fclose(fp); + + next = P; + abs_M = M; + while true + % loop over bones + for ii = 1:numel(P) + % if not root + if next(ii) ~= 0 + abs_M(:,:,ii) = M(:,:,next(ii)) * abs_M(:,:,ii); + next(ii) = P(next(ii)); + end + end + if ~any(next) + break; + end + end + + assert(all(P<=numel(P))); +end diff --git a/matlab/external/gptoolbox/mesh/readLOG.m b/matlab/external/gptoolbox/mesh/readLOG.m new file mode 100644 index 0000000..6d08d3e --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readLOG.m @@ -0,0 +1,93 @@ +function [V,F,C] = readLOG(filename) + % READLOG Read log files output by qslim + % + % [V,F,C] = readLOG(filename) + % + % Input: + % filename path to .log file + % Outputs: + % V #V by 3 input mesh vertex positions + % F #F by 3 input mesh triangle indices (1-indexed) + % C #collapse list of edge collapse structs with fields + % .a index into V of vertex collapsed to + % .b index into V of vertex collapsed from + % .da 1 by 3 displacement of vertex a + % .rm list of indices in F of faces removed by this collapse + % .mod list of indices in F of faces modified by this collapse + % + % See also: perform_edge_collapse + + % first part of file is just the input mesh + fp = fopen(filename,'r'); + begin = fscanf(fp,' %[^\n]s'); + if(strcmp(begin,'begin')==0) + error('First line should be "begin"...'); + end + % force read line feed + fscanf(fp,'\n'); + V = reshape(fscanf(fp,'v %g %g %g\n'),3,[])'; + F = reshape(fscanf(fp,'f %d %d %d\n'),3,[])'; + endline = fscanf(fp,' %[^\n]s'); + if(strcmp(endline,'end')==0) + error('Line should be "end"...'); + end + % force read line feed + fscanf(fp,'\n'); + + c.a =0; + c.b =0; + c.rm =[]; + c.mod =[]; + % predict the size of C: reduces time significantly + C(size(edges(F),1)) = c; + ci = 1; + while true + line = fgets(fp); + % finished? + if line==-1 + break; + end + [A,count,e,ni] = sscanf(line,'v%% %d %d %g %g %g ',5); + assert(count==5); + C(ci).a = A(1); + C(ci).b = A(2); + C(ci).da = A(3:5)'; + line = line(ni:end); + [A,count,e,ni] = sscanf(line,'%d%[^&0-9]'); + % Seems it can be more than 2 removed + %assert(count==4); + assert(all(A(2:2:end)==32)); + C(ci).rm = A(1:2:end); + line = line(ni:end); + [A,count,e,ni] = sscanf(line,'%c',1); + assert(count==1); + assert(A=='&'); + line = line(ni:end); + [A,count,e,ni] = sscanf(line,'%d'); + C(ci).mod = A(1:end); + ci = ci+1; + end + % only keep real collapses + C = C(1:ci-1); + + % Now comes the orderedlog of edge collapses + % + % This format was backwards engineered. + % + % Each line represents an collapse of an edge from vertex b to a + % v% aid bid dax day daz fa&b1 fa&b2 ... fa&bm & fa|b1 fa|b2 ... fa|bn + % + % where aid and bid are the indices of vertices a and b, da* are the + % coordinates of the displacement of vertex a, fa&b* are the face indices + % incident on the edge ab (those removed), and fa|b* are the faces incident + % on only a or only b (those modified) + % + % If F is non-manifold then m may be greater than 2 + % + % It seems all indices are in terms of the original mesh, as opposed to a + % cummulative indexing. + % + + fclose(fp); + +end diff --git a/matlab/external/gptoolbox/mesh/readMESH.m b/matlab/external/gptoolbox/mesh/readMESH.m new file mode 100644 index 0000000..a6a381a --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readMESH.m @@ -0,0 +1,72 @@ +function [V,T,F] = readMESH( filename ) + % readMESH reads an MESH file with vertex/face/tet information + % + % [V,T,F] = readMESH( filename ) + % + % Input: + % filename path to .mesh file + % Outputs: + % V #V by 3 list of vertices + % T #T by 4 list of tet indices + % F #F by 3 list of triangle indices + % + + fp = fopen(filename,'r'); + + % First line is mandatory header + MESHheader = eat_comments(fp,'#'); + if(strcmp(MESHheader,'MeshVersionFormatted 1')==0) + error('First line should be "MeshVersionFormatted 1"...'); + end + % force read line feed + fscanf(fp,'\n'); + Dimension3 = eat_comments(fp,'#'); + + % second line is mandatory Dimension 3 + if(strcmp(Dimension3,'Dimension 3')==0) + % tetgen likes to put the 3 on the next line + % try to append next word hoping its a 3 + % force read line feed + Dimension3 = [Dimension3 ' ' eat_comments(fp,'#')]; + if(strcmp(Dimension3,'Dimension 3')==0) + error('Second line should be "Dimension 3"...'); + end + end + Vertices = eat_comments(fp,'#'); + % thrid line is mandatory Vertices + if(strcmp(Vertices,'Vertices')==0) + error('Third line should be "Vertices"...'); + end + % read vertex count + num_vertices = fscanf(fp,'%d\n',1); + % read num_vertices many sets of vertex coordinates (x,y,z,ref) + V = fscanf(fp,'%g',4*num_vertices); + V = reshape(V,4,num_vertices)'; + V = V(:,1:3); + + Triangles = eat_comments(fp,'#'); + % forth non numeric is mandatory Triangles + if(strcmp(Triangles,'Triangles')==0) + error('Fourth (non-number) line should be "Triangles"...'); + end + % read triangle count + num_triangles = fscanf(fp,'%d\n',1); + % read num_triangles many sets of face indices (a,b,c,ref) + F = fscanf(fp,'%d',4*num_triangles); + F = reshape(F,4,num_triangles)'; + F = F(:,1:3); + + Tetrahedra = eat_comments(fp,'#'); + % forth non numeric is mandatory Tetrahedra + if(strcmp(Tetrahedra,'Tetrahedra')==0) + error('Fifth (non-number) line should be "Tetrahedra"...'); + end + % read tetrahedra count + num_tetrahedra = fscanf(fp,'%d\n',1); + % read num_tetrahedra many sets of tet indices (a,b,c,d,ref) + T = fscanf(fp,'%d',5*num_tetrahedra); + T = reshape(T,5,num_tetrahedra)'; + T = T(:,1:4); + + fclose(fp); +end diff --git a/matlab/external/gptoolbox/mesh/readMSH.m b/matlab/external/gptoolbox/mesh/readMSH.m new file mode 100644 index 0000000..42ae538 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readMSH.m @@ -0,0 +1,48 @@ +function [Dx,Dy] = readMSH(filename) + % READMSH Read Adobe Photoshop's .msh format saved from the Liquify tool + % + % Inputs: + % filename path to .msh file + % Outputs: + % Dx h by w x-displacement image + % Dy h by w y-displacement image + % + fp = fopen(filename,'r'); + % Read HEADER + header0002 = fread(fp,4,'*uint8'); + if ~all(header0002 == [0;0;0;2]) + warn(); + end + headerMeshLqfy = fliplr(fread(fp,8,'*char')'); + if ~strcmp(headerMeshLqfy,'MeshLqfy') + warn(); + end + header2000 = fread(fp,4,'*uint8'); + if ~all(header2000 == [2;0;0;0]) + warn(); + end + % Read in size of mesh + w = fread(fp,1,'*int'); + h = fread(fp,1,'*int'); + assert(w>0); + assert(h>0); + % read a zero + headerzero = fread(fp,1,'*double'); + if headerzero ~= 0 + warn(); + end + D = fread(fp,2*w*h,'single=>double'); + footerempty = fread(fp,1,'*uint8'); + if ~isempty(footerempty) || ~feof(fp) + warn(); + end + fclose(fp); + + Dx = reshape(D(1:2:end),w,h)'; + Dy = reshape(D(2:2:end),w,h)'; + + function warn() + warning('%s might not be a .msh file',filename); + end + +end diff --git a/matlab/external/gptoolbox/mesh/readNEIGH.m b/matlab/external/gptoolbox/mesh/readNEIGH.m new file mode 100644 index 0000000..d8cfd3f --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readNEIGH.m @@ -0,0 +1,43 @@ +function N = readNEIGH(filename) + % READNEIGH Read tetrahedral neighbor information from a .neigh file (as + % produced by tetgen) + % + % N = readNEIGH(filename) + % + % Inputs: + % filename path to .neigh file + % Outputs: + % N #simplices by #size-of-simplex neighborhood information (-1) indicates + % boundary. T(i,j) *should* indicate the neighbor to the jth face of the + % ith tet. *However* tetgen does not seem consistent. Consider + % post-processing with fixNEIGH.m + % + % See also: tt, tetgen, readNODE, readELE, fixNEIGH + % + + + fp = fopen(filename); + line = fscanf(fp,' %[^\n]s'); + [header,count] = sscanf(line,'%d %d',2); + if count~=2 + fclose(fp); + error('Bad header'); + end + + % number of elements + n = header(1); + % size of an element + size_e = header(2); + + parser = '%d'; + % append to parser enough to read all entries in element + 1 for index + parser = [parser repmat(' %d',1,size_e+1)]; + N = fscanf(fp,parser,[size_e+1 n])'; + fclose(fp); + + % get rid of row indices and make one indexed + N = N(:,2:end) + 1; + N(~N) = -1; +end + + diff --git a/matlab/external/gptoolbox/mesh/readNODE.m b/matlab/external/gptoolbox/mesh/readNODE.m new file mode 100644 index 0000000..e23bc5d --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readNODE.m @@ -0,0 +1,62 @@ +function [V,I] = readNODE(node_file_name) + % READNODE Read vertex positions from .node file, .node files are used by + % Stellar and Triangle + % + % V = readNODE(node_file_name) + % + % Input: + % node_file_name path to .node file + % + % Output: + % V list of vertex positions + % I list of indices (first tells whether 0 or 1 indexed) + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also: readELE + % + + node_file_handle = fopen(node_file_name); + % read header which contains number of vertices, number of dimensions, number + % of attributes, and number of boundary markers + header = fscanf(node_file_handle,'%d %d %d %d',4); + num_v = header(1); + dim = header(2); + num_a = header(3); + num_b = header(4); + % assemble fscanf string + % line always contains index + parser = '%d '; + num_items = 1; + % next each line contains coordinates (as many as there are dimensions) + if(dim == 2) + parser = [parser '%lf %lf ']; + num_items = num_items + 2; + elseif(dim == 3) + parser = [parser '%lf %lf %lf ']; + num_items = num_items + 3; + else + error(['Dimension must be 2 or 3, not ' num2str(dim)]); + end + if(num_a ~= 0) + error('Attributes are not supported.'); + end + % if there are going to be boundary markers then add spot in parser + if(num_b == 1) + parser = [parser '%d']; + num_items = num_items + 1; + elseif(num_b ~= 0) + error(['Number of boundary markers must be 1 or 0, not ' num2str(num_b)]); + end + % read num_v lines + V = fscanf(node_file_handle,parser,[num_items, num_v])'; + fclose(node_file_handle); + I = V(:,1); + % lose indices + V = V(:,2:end); + % lose boundary markers + if(num_b == 1) + V = V(:,1:(end-1)); + end +end + diff --git a/matlab/external/gptoolbox/mesh/readOBJ.m b/matlab/external/gptoolbox/mesh/readOBJ.m new file mode 100644 index 0000000..0f8c0dc --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readOBJ.m @@ -0,0 +1,192 @@ +function [V,F,UV,TF,N,NF] = readOBJ(filename,varargin) + % READOBJ reads an OBJ file with vertex/face information + % + % [V,F,UV,TF,N,NF] = readOBJ(filename) + % [V,F,UV,TF,N,NF] = readOBJ(filename,'ParameterName',ParameterValue,...) + % + % Input: + % filename path to .obj file + % Optional: + % 'Quads' whether to output face information in X by 4 matrices (faces + % with degree larger than 4 are still triangulated). A trailing zero + % will mean a triangle was read. + % Outputs: + % V #V by 3 list of vertices + % F #F by 3 list of triangle indices + % UV #V by 2 list of texture coordinates + % TF #F by 3 list of triangle texture coordinates + % N #V by 3 list of normals + % NF #F by 3 list of triangle corner normal indices into N + % + % Examples: + % % read a quad/triangle mesh and display it + % [V,F] = readOBJ('quads.obj','Quads',true); + % % Turn triangles into degenerate quads + % DF = (F==0).*F(:,[4 1 2 3])+(F~=0).*F; + % trisurf(DF,V(:,1),V(:,2),V(:,3)); + % + % + % See also: load_mesh, readOBJfast, readOFF + + % default values + quads = false; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Quads'}, ... + {'quads'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + numv = 0; + numf = 0; + numuv = 0; + numtf = 0; + numn = 0; + numnf = 0; + + % simplex size + if quads + ss = 4; + else + ss = 3; + end + % Amortized array allocation + V = zeros(10000,3); + F = zeros(10000,ss); + UV = zeros(10000,3); + TF = zeros(10000,ss); + N = zeros(10000,3); + NF = zeros(10000,ss); + + triangulated = false; + all_ss = true; + fp = fopen( filename, 'r' ); + type = fscanf( fp, '%s', 1 ); + count = 0; + while strcmp( type, '' ) == 0 + line = fgets(fp); + if strcmp( type, 'v' ) == 1 + v = sscanf( line, '%lf %lf %lf' ); + numv = numv+1; + if(numv>size(V,1)) + V = cat(1,V,zeros(10000,3)); + end + V(numv,:) = [v(1:3)']; + elseif strcmp( type, 'vt') + v = sscanf( line, '%f %f %f' ); + numuv = numuv+1; + if size(UV,2)>2 && length(v) == 2 + UV = UV(:,1:2); + end + if(numuv>size(UV,1)) + UV = cat(1,UV,zeros(10000,length(v))); + end + UV(numuv,:) = [v']; + elseif strcmp( type, 'vn') + n = sscanf( line, '%f %f %f' ); + numn = numn+1; + if(numn>size(N,1)) + N = cat(1,N,zeros(10000,3)); + end + N(numn,:) = [n']; + elseif strcmp( type, 'f' ) == 1 + [t, count] = sscanf(line,'%d/%d/%d %d/%d/%d %d/%d/%d %d/%d/%d %d/%d/%d'); + if (count>2) + tf = t(2:3:end); + nf = t(3:3:end); + t = t(1:3:end); + else + [t, count] = sscanf(line, '%d/%d %d/%d %d/%d %d/%d %d/%d'); + if (count>2) + tf = t(2:2:end); + t = t(1:2:end); + nf = -ones(numel(t),1); + else + [t, count] = sscanf(line, '%d//%d %d//%d %d//%d %d//%d %d//%d'); + if (count>2) + nf = t(2:2:end); + t = t(1:2:end); + tf = -ones(numel(t),1); + else + [t, count] = sscanf( line, '%d %d %d %d %d %d %d %d %d %d %d\n' ); + tf = -ones(numel(t),1); + nf = -ones(numel(t),1); + end + end + end + assert(numel(t) == numel(tf)); + assert(numel(t) == numel(nf)); + if numel(t) > ss + if ~triangulated + warning('Trivially triangulating high degree facets'); + end + triangulated = true; + end + j = 2; + while true + if numel(t) > ss + corners = [1 j j+1]; + else + if all_ss && numel(t)size(F,1)) + F = cat(1,F,zeros(10000,ss)); + end + F(numf,1:numel(corners)) = [t(corners)']; + numtf = numtf+1; + if(numtf>size(TF,1)) + TF = cat(1,TF,zeros(10000,ss)); + end + TF(numtf,1:numel(corners)) = [tf(corners)']; + numnf = numnf+1; + if(numnf>size(NF,1)) + NF = cat(1,NF,zeros(10000,ss)); + end + NF(numnf,1:numel(corners)) = [nf(corners)']; + if numel(t) <= ss + break; + end + j = j+1; + if j>numel(t)-1 + break; + end + end + elseif strcmp( type, '#' ) == 1 + %fscanf( fp, '%s\n', 1 ); + % ignore line + end + type = fscanf( fp, '%s', 1 ); + end + fclose( fp ); + + %try + % F = cell2mat(F); + %end + V = V(1:numv,:); + F = F(1:numf,:); + UV = UV(1:numuv,:); + TF = TF(1:numtf,:); + N = N(1:numn,:); + NF = NF(1:numnf,:); + + %% transform into array if all faces have the same number of vertices + + if (size(UV,1)>0) UV = UV; end + +end diff --git a/matlab/external/gptoolbox/mesh/readOBJfast.m b/matlab/external/gptoolbox/mesh/readOBJfast.m new file mode 100644 index 0000000..9a796fe --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readOBJfast.m @@ -0,0 +1,135 @@ +function [V,F] = readOBJfast(filename,varargin) + % readOBJfast + % + % reads an OBJ file quickly, but OBJ file should be formated *simply* + % + % Input: + % filename path to .obj file + % Outputs: + % V #V by 3 list of vertices + % F #F by 3 list of triangle indices + % + % filename should be a text file containing first vertex positions where each + % line is: + % v x y z + % then a list of faces where each line is: + % f i j k + % and exactly that. Any lines before vertices, or after vertices but before + % faces are ignored. Comments throughout vetex and face lines will surely + % break this. + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % For complete(r) support use readOBJ + % + % See also readOBJ + % + + function file_wrangler() + error_handler = @final_error; + if isunix() + % try to make the file easier to read + tmpf = tempname(); + escaped_filename = strrep(filename,' ','\ '); + cmd = sprintf( ... + ['echo -e "$(grep "^v " %s) \\n$(grep "^f " %s | ' ... + 'sed -e "s/\\([0-9]*\\)\\(\\/[0-9]*\\)*/\\1/g")" >%s'], ... + escaped_filename,escaped_filename,tmpf); + s = system(cmd); + if s==0 + readOBJfast_helper(tmpf); + %delete(tmpf); + return; + end + end + final_error(); + end + + function final_error() + error('Bad format. Try readOBJ...\n'); + end + + function readOBJfast_helper(filename) + fp = fopen(filename); + % read in vertices + V = []; + while(true) + V = fscanf(fp,' v %lg %lg %lg ',inf); + if(prod(size(V)) > 0) + break; + else + line = fgets(fp); + if(prod(size(line)) == 0) + fclose(fp); + error_handler(); + return; + end + end + end + V = reshape(V,3,size(V,1)/3)'; + % read in faces + F = []; + if quads + format = ' f %d %d %d %d '; + else + format = ' f %d %d %d '; + end + while(true) + F = fscanf(fp,format,inf); + if(numel(F) > 0) + break; + else + line = fgets(fp); + if(numel(line) == 0 || (isnumeric(line) && line == -1)) + fclose(fp); + error_handler(); + return; + end + end + end + if quads + if mod(size(F,1),4) ~= 0 + fclose(fp); + error_handler(); + return; + end + F = reshape(F,4,size(F,1)/4)'; + else + if mod(size(F,1),3) ~= 0 + fclose(fp); + error_handler(); + return; + end + F = reshape(F,3,size(F,1)/3)'; + end + if ~feof(fp) + fclose(fp); + error_handler(); + return; + end + fclose(fp); + end + + % default values + quads = false; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Quads'}, ... + {'quads'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + error_handler = @file_wrangler; + readOBJfast_helper(filename) +end diff --git a/matlab/external/gptoolbox/mesh/readOFF.m b/matlab/external/gptoolbox/mesh/readOFF.m new file mode 100644 index 0000000..f33f9a5 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readOFF.m @@ -0,0 +1,94 @@ +function [V,F,UV,C,N] = readOFF( filename ) + % READOFF reads an OFF file with vertex/face information + % + % [V,F,UV,C,N] = readOFF( filename ) + % + % Input: + % filename path to .obj file + % Outputs: + % V #V by 3 list of vertices + % F #F by 3 list of triangle indices + % UV #V by 2 list of texture coordinates + % C #V by 3 list of colors + % N #V by 3 list of normals + % + % See also: load_mesh, readOBJfast, readOBJ + +% (C) 2007 Denis Kovacs, NYU +%------------------------------------------------------------------------- + + V = []; + F = []; + UV = []; + C = []; + N = []; + + fp = fopen( filename, 'r' ); + OFFheader = upper(fscanf( fp, '%s\n', 1 )); + if OFFheader(end-2:end) ~= 'OFF' + warning('no OFF file!') + fclose(fp); + return; + end + OFFdim = 3; + OFF_N = 0; OFF_C=0; OFF_ST=0; + + if find(OFFheader=='N') OFFdim = OFFdim+3; OFF_N=1; end + if find(OFFheader=='C') OFFdim = OFFdim+3; OFF_C=1; end + if find(OFFheader=='S') OFFdim = OFFdim+2; OFF_ST=1; end + + % eat any comments before + line = eat_comments(fp,'#'); + + d = sscanf( line, '%d', 3); + nV = d(1); nF = d(2); nE = d(3); + + %disp(sprintf(' - Reading %d vertices', nV)); + + switch OFFdim + case 3; OFFV = textscan( fp, '%f %f %f', nV); + case 5; OFFV = textscan( fp, '%f %f %f %f %f', nV); + case 6; OFFV = textscan( fp, '%f %f %f %f %f %f', nV); + case 7; OFFV = textscan( fp, '%f %f %f %f %f %f %f', nV); + case 8; OFFV = textscan( fp, '%f %f %f %f %f %f %f %f', nV); + case 9; OFFV = textscan( fp, '%f %f %f %f %f %f %f %f %f', nV); + case 10; OFFV = textscan( fp, '%f %f %f %f %f %f %f %f %f %f', nV); + case 11; OFFV = textscan( fp, '%f %f %f %f %f %f %f %f %f %f %f', nV); + otherwise; fclose(fp); error('Unsupported number of vertex entries'); + end + + try + OFFV = cell2mat(OFFV); + end + + OFFdim = 1; + V = OFFV(:,OFFdim:(OFFdim+2)); OFFdim = OFFdim + 3; + if (OFF_N) N = OFFV(:,OFFdim:(OFFdim+2)); OFFdim = OFFdim + 3; end + if (OFF_C) C = OFFV(:,OFFdim:(OFFdim+2)); OFFdim = OFFdim + 3; end + if (OFF_ST) UV = OFFV(:,OFFdim:(OFFdim+1)); OFFdim = OFFdim + 2; end + + if (nF ~= 0) + %disp(sprintf(' - Reading %d faces', nF)); + temp = textscan( fp, '%d %d %d %d %d %d %d %d %d %d %d', nF ); + sz = temp{1}(1); + if all(sz == cell2mat(temp(1))) + F = double (cell2mat( temp(2:sz+1 ))) +1; + else + warning('Trivially triangulating high degree facets'); + F = zeros(sum(temp{1}-2),3); + fi = 1; + for f = 1:size(temp{1},1) + for j = 3:temp{1}(f); + F(fi,:) = [temp{2}(f) temp{j}(f) temp{j+1}(f)]+1; + fi = fi+1; + end + end + end + else + F = []; + end + + fclose(fp); + + %disp(' - done.'); +end diff --git a/matlab/external/gptoolbox/mesh/readPLY.m b/matlab/external/gptoolbox/mesh/readPLY.m new file mode 100644 index 0000000..1cb7d91 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readPLY.m @@ -0,0 +1,12 @@ +function [V,F] = readPLY(filename) + % READPLY Wrapper for read_ply + % + % Input: + % filename path to .ply file + % Outputs: + % V #V by 3 list of vertex positions + % F #F by 3 list of face indices + % + [V,F] = read_ply(filename); + +end diff --git a/matlab/external/gptoolbox/mesh/readPOLY_pyramid.m b/matlab/external/gptoolbox/mesh/readPOLY_pyramid.m new file mode 100644 index 0000000..68e58d1 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readPOLY_pyramid.m @@ -0,0 +1,87 @@ +function [V,E,F,H] = readPOLY_pyramid(filename) + % READPOLY_PYRAMID Read .poly file of pyramid/svr output + % + % Inputs: + % filename path to .poly file + % Outputs: + % V #V list of vertices + % E #E by 2+boundary_markers list of segment indices, indexing V, and + % optional boundary markers + % F #F struct containing polygon information arrays + % .facets a #facets list of facets, each facet is a polygon + % **NOTE: facets index E *not* V, contrary to typical (V,F) meshes and + % contrary to writePOLY_tetgen prototype + % .boundary_markers a #facets list of boundary_markers + % OR + % F #F by constant-degree+boundary_markers list of facets + % H #H by dim list of holes (not supported) + % + + fp = fopen(filename,'r'); + line = eat_comments(fp,'#'); + [Vhead,count] = sscanf(line,'%d %d %d %d'); + assert(count==4); + [V,count] = fscanf(fp,'%g',[(1+sum(Vhead(2:end))) Vhead(1)]); + V = V(2:Vhead(2)+1,:)'; + assert(count == (Vhead(1)*(1+sum(Vhead(2:end))))); + line = eat_comments(fp,'#'); + [Ehead,count] = sscanf(line,'%d %d'); + assert(count == 2); + [E,count] = fscanf(fp,'%d',[3+Ehead(2) Ehead(1)]); + % only segments are supported + BME = E(4:3+Ehead(2),:)'; + E = E(2:3,:)'; + offset = 1-min(min(E(:,1)),1); + if offset + warning('Offseting indices by %d',offset); + E = E+offset; + end + assert(count == prod([3+Ehead(2) Ehead(1)])); + line = eat_comments(fp,'#'); + [Fhead,count] = sscanf(line,'%d %d'); + % Not sure if boundary markers are allowed here + if count == 1 + Fhead(2) = 0; + end + % preallocate + %F = repmat(struct('facets',[],'boundary_markers',[]),Fhead(1),1); + F.facets = cell(Fhead(1),1); + F.boundary_markers = cell(Fhead(1),1); + min_F = inf; + for f = 1:Fhead(1) + line = eat_comments(fp,'#'); + [EF,count] = sscanf(line,'%d'); + min_F = min(min_F,EF(1)); + assert(count >= 2); + assert(count == 2+EF(2)); + F.facets{f} = EF(3:end); + % not supported + F.boundary_markers{f} = []; + end + + fs = cell2mat(cellfun(@size,F.facets,'UniformOutput',false)); + % try to collapse F + if all(fs(:,1) == 1) && all(fs(:,2) == fs(1,2)) + F = cell2mat(F.facets); + end + + offset = 1-min(min_F,1); + if offset + warning('Offseting indices by %d',offset); + F.facets = cellfun(@plus,F.facets, ... + mat2cell(offset*ones(numel(F.facets),1),ones(numel(F.facets),1),1), ... + 'UniformOutput',false); + end + + line = eat_comments(fp,'#'); + [Hhead,count] = sscanf(line,'%d %d'); + assert(Hhead(1) == 0); + line = eat_comments(fp,'#'); + if ~isempty(line) + [Rhead,count] = sscanf(line,'%d %d'); + assert(Rhead(1) == 0); + end + + fclose(fp); + +end diff --git a/matlab/external/gptoolbox/mesh/readPOLY_triangle.m b/matlab/external/gptoolbox/mesh/readPOLY_triangle.m new file mode 100644 index 0000000..7d257fa --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readPOLY_triangle.m @@ -0,0 +1,39 @@ +function [V,E,BME] = readPOLY_triangle(filename) + % READPOLY_TRIANGLE Read .poly file of triangle output + % + % Inputs: + % filename path to .poly file + % Outputs: + % V #V list of vertices + % E #E by 2 list of segments + % BME #E by 1 list of boundary markers + % H #H by dim list of holes (not supported) + % + + fp = fopen(filename,'r'); + line = eat_comments(fp,'#'); + [Vhead,count] = sscanf(line,'%d %d %d %d'); + assert(count==4); + [V,count] = fscanf(fp,'%g',[(1+sum(Vhead(2:end))) Vhead(1)]); + V = V(2:Vhead(2)+1,:)'; + assert(count == (Vhead(1)*(1+sum(Vhead(2:end))))); + line = eat_comments(fp,'#'); + [Ehead,count] = sscanf(line,'%d %d'); + assert(count == 2); + [E,count] = fscanf(fp,'%d',[3+Ehead(2) Ehead(1)]); + % only segments are supported + BME = E(4:3+Ehead(2),:)'; + E = E(2:3,:)'; + assert(count == prod([3+Ehead(2) Ehead(1)])); + line = eat_comments(fp,'#'); + [Hhead,count] = sscanf(line,'%d %d'); + assert(Hhead(1) == 0); + line = eat_comments(fp,'#'); + if ~isempty(line) + [Rhead,count] = sscanf(line,'%d %d'); + assert(Rhead(1) == 0); + end + + fclose(fp); + +end diff --git a/matlab/external/gptoolbox/mesh/readSEL.m b/matlab/external/gptoolbox/mesh/readSEL.m new file mode 100644 index 0000000..74ab191 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readSEL.m @@ -0,0 +1,29 @@ +function [S] = readSEL(filename) + % READSEL read selection from .sel file (as used by Mario Botsch and Olga + % Sorkine in the accompanying data to their survey "On linear variational + % surface deformation methods" + % http://igl.ethz.ch/projects/deformation-survey/ + % + % Input: + % filename path to .sel file + % Output: + % S #V list of ids: + % 0 fixed boundary (silver, completely fixed handle-region) + % 1 interior (blue, "solved-for", "free" region) + % 2 handle boundary (gold, re-arrangable handle-region) + % + % Example: + % S = readSEL(filename); + % % Swap 0 (fixed boundary) with 1 (interior) so that selection mask + % % functions as handle ids (with 0 meaning interior) + % R = (S<1).*1 + (S==1).*0 + (S>1).*S; + % + + fp = fopen(filename,'r'); + % read initial comments + C = textscan(fp, '#%[^\n]'); + % remaining lines contain one integer per line + S = fscanf(fp,'%d'); + % clean up file + fclose(fp); +end diff --git a/matlab/external/gptoolbox/mesh/readSTL.m b/matlab/external/gptoolbox/mesh/readSTL.m new file mode 100644 index 0000000..e393a7f --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readSTL.m @@ -0,0 +1,47 @@ +function [V,F] = readSTL(filename,varargin) + % READSTL read a triangle mesh from an .stl file. + % + % [V,F] = readSTL(filename) + % [V,F] = readSTL(filename,'ParameterName',ParameterValue, ...) + % + % Inputs: + % filename path to .stl file + % Optional: + % 'JoinCorners' followed by whether to join perfectly match corners to + % form a combinatorially connected mesh {false}. + % Outputs: + % V #V by 3 list of vertex positions + % F #F by 3 list of faces + % + + % default values + join_corners = false; + variable_name2 = [1,2,3]; + % Map of parameter names to variable names + params_to_variables = containers.Map( {'JoinCorners'}, {'join_corners'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + + [FVX,FVY,FVZ] = stlread(filename); + V = [FVX(:) FVY(:) FVZ(:)]; + F = reshape(1:size(V,1),3,size(V,1)/3)'; + + if join_corners + [V,~,J] = remove_duplicate_vertices(V,0); + % remap faces + F = J(F); + end + +end diff --git a/matlab/external/gptoolbox/mesh/readTGF.m b/matlab/external/gptoolbox/mesh/readTGF.m new file mode 100644 index 0000000..b7de6bb --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readTGF.m @@ -0,0 +1,62 @@ +function [V,E,P,BE,CE,PE] = readTGF(filename) + % READTGF + % + % [V,E,P,BE,CE,PE] = readTGF(filename) + % + % Read a graph from a .tgf file + % + % Input: + % filename .tgf file name + % Ouput: + % V # vertices by 3 list of vertex positions + % E # edges by 2 list of edge indices + % P # point-handles list of point handle indices + % BE # bone-edges by 2 list of bone-edge indices + % CE # cage-edges by 2 list of cage-edge indices + % PE # pseudo-edges by 2 list of pseudo-edge indices + % + % Assumes that graph vertices are 3 dimensional + + V = []; + E = []; + BE = []; + CE = []; + PE = []; + fp = fopen(filename,'r'); + % read next whole line + line = fscanf(fp,' %[^\n]s'); + % read vertices until seeing separator + while(line(1,1) ~= '#') + [v,count] = sscanf(line,'%d %g %g %g',4); + % first number is always index + v = v(2:min(count,4)); + V = [V;v']; + line = fscanf(fp,' %[^\n]s'); + end + % read edges until file is through + line = fscanf(fp,' %[^\n]s'); + while(sum(size(line)) > 0 && line(1,1) ~= '#') + [e,count] = sscanf(line,'%d %d %d %d %d',5); + assert(count >= 2); + % add edge + % .tgf format is 1-indexed + E = [E;e(1:2)']; + if count >= 3 && e(3) + BE = [BE;e(1:2)']; + end + % bone edges trump pseudo-edges + if count >= 4 && e(4) && ~e(3) + PE = [PE;e(1:2)']; + end + % bone edges trump cage edges + if count >= 5 && e(5) && ~e(3) + CE = [CE;e(1:2)']; + end + line = fscanf(fp,' %[^\n]s'); + end + + % point handles are points not attached to a bone + P = 1:size(V,1); + P = P(~ismember(P,BE(:))); + fclose(fp); +end diff --git a/matlab/external/gptoolbox/mesh/readVOX.m b/matlab/external/gptoolbox/mesh/readVOX.m new file mode 100644 index 0000000..02ca99d --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readVOX.m @@ -0,0 +1,43 @@ +function BW = readVOX(filename) + % READVOX Read a 3D binary image (e.g. resulting from voxelization) from a + % .vox file. Ignores the color palette at the end of the file. + % + % Inputs: + % filename path to .vox file + % Outputs: + % BW ny by nx by nz 3D binary image + % + % Examples: + % writeOBJ('temp.obj',V,F); + % !./poly2vox temp.obj temp.vox -h -v4 + % BW = readVOX('temp.vox'); + % % poly2vox uses an odd method to find voxel size + % r = max(((max(V)-min(V))))/(max(size(BW))-0.1); + % [X,Y,Z] = meshgrid( ... + % (0.5:size(BW,2)-0.5)*r+min(V(:,1)), ... + % (0.5:size(BW,1)-0.5)*r+min(V(:,2)), ... + % max(V(:,3))-(size(BW,3)-0.5:-1:0.5)*r); + % BC = [X(:) Y(:) Z(:)]; + % [iV,iQ] = voxel_surface(BW,'Centers',BC); + % [iV,IM] = remove_unreferenced(iV,iQ); + % iQ = IM(iQ); + % clf; + % hold on; + % trisurf(iQ,iV(:,1),iV(:,2),iV(:,3),'FaceAlpha',0.8,'EdgeAlpha',0.8,'FaceColor','r'); + % tsurf(F,V,'FaceAlpha',0.8,'EdgeAlpha',0.8,'FaceColor','g'); + % hold off; + % axis equal; + % iF = [iQ(:,[1 2 3]);iQ(:,[1 3 4])]; + % + + f = fopen(filename, 'r'); + header = fread(f,3,'uint32=>double')'; + BW = fread(f,prod(header),'uchar'); + fclose(f); + + BW = reshape(BW,fliplr(header)); + BW = flipud(BW); + BW = permute(BW,[1 3 2]); + % Flip and convert to logical + BW = BW==0; +end diff --git a/matlab/external/gptoolbox/mesh/readWRL.m b/matlab/external/gptoolbox/mesh/readWRL.m new file mode 100644 index 0000000..ed1efce --- /dev/null +++ b/matlab/external/gptoolbox/mesh/readWRL.m @@ -0,0 +1,67 @@ +function [V, F] = readWRL(filename) +% readWRL - load a mesh from a VRML file +% +% [V, F] = readWRL(filename); +% +% Copyright (c) 2004 Gabriel Peyr + +fp = fopen(filename,'r'); +if fp == -1 + fclose all; + str = sprintf('Cannot open file %s \n',filename); + error(str); +end + +tempstr = ' '; + +key = 'point ['; +V = []; + +while ( tempstr ~= -1) + tempstr = fgets(fp); % -1 if eof + if( ~isempty(findstr(tempstr,key)) ) + nc = 3; + while nc>0 + tempstr = fgets(fp); % -1 if eof + [cvals,nc] = sscanf(tempstr,'%f %f %f,'); + if nc>0 + if mod(nc,3)~=0 + error('Not correct WRL format'); + end + V = [V, reshape(cvals, 3, nc/3)]; + end + end + break; + end +end + +V=V'; + +if nargout==1 + return; +end + +key = 'coordIndex ['; +F = []; + +while ( tempstr ~= -1) + tempstr = fgets(fp); % -1 if eof + if( ~isempty(findstr(tempstr,key)) ) + nc = 3; + while nc>0 + tempstr = fgets(fp); % -1 if eof + [cvals,nc] = sscanf(tempstr,'%d %d %d -1,'); + if nc==0 || mod(nc,3)~=0 + [cvals,nc] = sscanf(tempstr,'%d, %d, %d, -1,'); + end + if nc>0 + F = [F, reshape(cvals, 3, nc/3)+1]; + end + end + fclose(fp); + F = F'; + return; + end +end + +end diff --git a/matlab/external/gptoolbox/mesh/region_boundary_conditions.m b/matlab/external/gptoolbox/mesh/region_boundary_conditions.m new file mode 100644 index 0000000..511b2dc --- /dev/null +++ b/matlab/external/gptoolbox/mesh/region_boundary_conditions.m @@ -0,0 +1,39 @@ +function [b,bc] = region_boundary_conditions(R,ii) + % REGION_BOUNDARY_CONDITIONS compute boundary and boundary conditions for + % solving for correspondence weights over a mesh (V,F) with control regions + % defined on this mesh via ids in R, interior vertices (those not part of a + % handle) will have id 0 + % + % [b,bc] = region_boundary_conditions(R,ii) + % + % Inputs: + % R #V list of region ids, 0 meaning not part of any handle + % Outputs: + % b list of boundary vertices + % bc list of boundary conditions, size(boundary) by # handles matrix of + % boundary conditions where bc(:,i) are the boundary conditions for the + % ith handle ( handle order is point handles then edges handles: P,E) + % + % Example: + % S = readSEL(sel_file_name); + % % convert survey style selection to regions + % R = (S==0)*1 + (S==2)*2; + % [b,bc] = region_boundary_conditions(R); + % + % See also: boundary_conditions, select_region, readSEL + % + + assert(size(R,1) == 1 || size(R,2) == 1); + % make list of ids into row + R = R(:)'; + + % number of mesh vertices + n = numel(R); + % indices to mesh vertices + indices = 1:n; + + %b = [indices(R==0) indices(R==2)]; + b = indices(R~=0); + %bc = zeros(numel(b),max(R(R~=0))); + bc = sparse(1:numel(b),R(R~=0),1,numel(b),max(R(R~=0))); +end diff --git a/matlab/external/gptoolbox/mesh/regular_tetrahedral_mesh.m b/matlab/external/gptoolbox/mesh/regular_tetrahedral_mesh.m new file mode 100644 index 0000000..8706349 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/regular_tetrahedral_mesh.m @@ -0,0 +1,117 @@ +function [V,T,F] = regular_tetrahedral_mesh(varargin) + % REGULAR_TETRAHEDRAL_MESH Generates a regular tetrahedral mesh with + % dimensions (nx,ny,nz) + % + % [V,T,F] = regular_tetrahedral_mesh(nx,ny,nz) + % [V,T,F] = regular_tetrahedral_mesh(nx) + % [V,T,F] = regular_tetrahedral_mesh([nx,ny,nz]) + % + % Input: + % nx number of points in x direction on grid + % ny number of points in y direction on grid + % nz number of points in z direction on grid + % Output: + % V list of vertex coordinates in 3D + % T tetrahedra list of indices into V + % F triangle list of face indices into V + % % N sparse adjacency matrix, #vertices by #vertices + % + % Example + % [V,T,F] = regular_tetrahedral_mesh(3,3,3); + % tetramesh(T,V); %also try tetramesh(T,V,'FaceAlpha',0); + % trisurf(F,V(:,1),V(:,2),V(:,3)); + % + % See also delaunayn, tetramesh + % + if nargin==1 + if numel(varargin{1})==1 + nx = varargin{1}; + ny = nx; + nz = nx; + else + nx = varargin{1}(1,1); + ny = varargin{1}(1,2); + nz = varargin{1}(1,3); + end + else + nx = varargin{1}; + ny = varargin{2}; + nz = varargin{3}; + end + + % Create a grid + [x,y,z] = meshgrid(linspace(0,1,nx),linspace(0,1,ny),linspace(0,1,nz)); + V = [x(:) y(:) z(:)]; + % meshgrid flips x and y ordering + idx = reshape(1:prod([ny,nx,nz]),[ny,nx,nz]); + v1 = idx(1:end-1,1:end-1,1:end-1);v1=v1(:); + v2 = idx(1:end-1,2:end,1:end-1);v2=v2(:); + v3 = idx(2:end,1:end-1,1:end-1);v3=v3(:); + v4 = idx(2:end,2:end,1:end-1);v4=v4(:); + v5 = idx(1:end-1,1:end-1,2:end);v5=v5(:); + v6 = idx(1:end-1,2:end,2:end);v6=v6(:); + v7 = idx(2:end,1:end-1,2:end);v7=v7(:); + v8 = idx(2:end,2:end,2:end);v8=v8(:); + T = [ ... + v1 v3 v8 v7; ... + v1 v8 v5 v7; ... + v1 v3 v4 v8; ... + v1 v4 v2 v8; ... + v1 v6 v5 v8; ... + v1 v2 v6 v8]; + + % delaunayn IS BROKEN, REALLY SHOULD NOT USE THIS + %if(nx==2 && ny==2 && nz==2) + % warning(['delaunayn vomits on 2x2x2...' ... + % 'adding center point at [0.5,0.5,0.5].']); + % V = [V;0.5,0.5,0.5]; + %end + %T = delaunayn(V); + + % lazy way of getting boundary faces, procedurally generating them is + % certainly faster as it would be O( nu * nv) where nu and nv are the largest + % and second largest dimension. The following implementation is probably + % O(m log m) where m is size(T,1) because of sort() ... or O(nu * nv * m) + % because of ismember ... or even O(m*m) because of unqiue + + if nargout>2 + F = boundary_faces(T); + end + + % determine neighbors using fact that vertices are in order +% I = (1:size(V,1))'; +% J = [ ... +% I+1 I-1 ... +% I+nx*ny I-nx*ny ... +% I+nx*ny+1 I-nx*ny-1 ... +% I+ny I-ny ... +% I+ny+1 I-ny-1 ... +% I+ny+nx*ny I-ny-nx*ny ... +% I+ny+1+nx*ny I-ny-1-nx*ny]; +% C = [ ... +% mod(I,4) > 0 mod(I,4) ~= 1 ... +% I<=(nx*ny*nz-nx*ny) I>(nx*ny) ... +% (I<=(nx*ny*nz-nx*ny) & mod(I,4) > 0) (I>(nx*ny) & mod(I,4)~= 1) ... +% (mod(I-1,nx*ny) < nx*ny-ny) (mod(I-1,nx*ny) >= ny) ... +% (mod(I-1,nx*ny) < nx*ny-ny & mod(I,4) > 0) ... +% (mod(I-1,nx*ny) >= ny & mod(I,4)~= 1) ... +% (I<=(nx*ny*nz-nx*ny) & mod(I-1,nx*ny) < nx*ny-ny) ... +% (I>(nx*ny) & mod(I-1,nx*ny) >= ny) ... +% (I<=(nx*ny*nz-nx*ny) & mod(I-1,nx*ny) < nx*ny-ny & mod(I,4) > 0) ... +% (I>(nx*ny) & mod(I-1,nx*ny) >= ny & mod(I,4) ~= 1)]; +% I = repmat(I,1,14); + + %N = sparse([I(V) J(V)],[J(V) I(V)],[V(V) V(V)]*0.5,size(V,1),size(V,1)); + + + % replace + + % This is a bad idea because then memory layout doesn't match regular grid + % (so finite difference won't match) + %% convenient to have these reordered so that vertices that occur only on the + %% surface come first + %[V,T,F] = faces_first(V,T,F); + %%N = sparse([IM(I(C)) IM(J(C))],[IM(J(C)) IM(I(C))],[C(C) C(C)]*0.5,size(C,1),size(C,1)); + +end + diff --git a/matlab/external/gptoolbox/mesh/relative_coordinates.m b/matlab/external/gptoolbox/mesh/relative_coordinates.m new file mode 100644 index 0000000..ea9c036 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/relative_coordinates.m @@ -0,0 +1,50 @@ +function [X,Y] = relative_coordinates(V,F) + % RELATIVE_COORDINATES computes the relative coordinates of each triangle + % corner. That is, each triangle coordinate can be written in the basis of + % the opposite edge and that edge rotated 90 degrees. Thus each corner can be + % written in terms of the other two corners. + % + % [X,Y] = relative_coordinates(V,F) + % + % Inputs: + % V #V by dim list of rest domain positions + % F #F by 3 list of triangle indices into V + % Outputs: + % X #F by 3 list of coordinates corresponding to each corners opposite + % edge + % Y #F by 3 list of coordinates corresponding to each corners opposite + % edge, rotated 90 degrees + % + + % Indices of each triangle vertex, I, and its corresponding two neighbors, J + % and K + I = [F(:,1);F(:,2);F(:,3)]; + J = [F(:,2);F(:,3);F(:,1)]; + K = [F(:,3);F(:,1);F(:,2)]; + % rename for rest positions of I,J,K for "convenience" + % x-coordinates + v0x = V(J,1); + v1x = V(K,1); + v2x = V(I,1); + % y-coordinates + v0y = V(J,2); + v1y = V(K,2); + v2y = V(I,2); + % Compute, X and Y so that we can represent V(I,:) in terms of V(J,:) and + % V(K,:), namely: + % + % V(I,:) = + % (V(J,:) + [X X].* (V(K,:) - V(J,:)) + [Y -Y].* fliplr(V(K,:)-V(J,:))) + % + X = ... + (v0x.^2 - v1x.*v0x - v0x.*v2x + v1y.*v2y - v1y.*v0y - v0y.*v2y + v2x.*v1x + v0y.^2)./ ... + (v1x.^2 - 2.*v1x.*v0x + v0x.^2 + v1y.^2 - 2.*v1y.*v0y + v0y.^2); + Y = ... + -(v1x.*v2y - v1x.*v0y - v1y.*v2x + v1y.*v0x - v0x.*v2y + v0y.*v2x)./ ... + (v1x.^2 - 2.*v1x.*v0x + v0x.^2 + v1y.^2 - 2.*v1y.*v0y + v0y.^2); + + % reshape to match F + X = reshape(X,size(F,1),3); + Y = reshape(Y,size(F,1),3); + +end diff --git a/matlab/external/gptoolbox/mesh/remesh_at_handles.m b/matlab/external/gptoolbox/mesh/remesh_at_handles.m new file mode 100644 index 0000000..f7edf71 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/remesh_at_handles.m @@ -0,0 +1,118 @@ +function [NV,NF,OV,OE,OV1,OE1,epsilon] = remesh_at_handles(V,F,C,P,BE,CE) + % REMESH_AT_HANDLES remesh a given mesh using its outline and constraining + % interrior controls at given handles. Point handles are met exactly and + % bones are sample at the given rate. + % + % [NV,NF] = remesh_at_handles(V,F,C,P,BE,CE) + % + % Inputs: + % V list of vertex positions + % F list of face indices + % C list of control vertex positions + % P list of indices into C for point controls, { 1:size(C,1) } + % BE list of bones, pairs of indices into C, connecting control vertices, + % { [] } + % CE list of "cage edges", pairs of indices into ***P***, connecting + % control ***points***. A "cage edge" just tells point boundary conditions + % to vary linearly along straight lines between the end points, and to be + % zero for all other handles. { [] } + % Outputs + % NV new list of vertex positions + % NF new list of face indices + % OV list of vertex positions sent to triangle + % OE list of edges sent to triangle + % OV1 list of vertex positions before performing close point collapses and + % edge splits + % OE1 list of edges before performing close point collapses and edge splits + % epsilon used to collapse points and split edges + % + % Example: + % [NV,NF,OV,OE,OV1,OE1] = remesh_at_handles(V,F,C,P,BE,CE); + % % show a plot of what's sent to triangle + % subplot(3,1,1); + % plot([OV1(OE1(:,1),1) OV1(OE1(:,2),1)]',[OV1(OE1(:,1),2) OV1(OE1(:,2),2)]','-','LineWidth',1); + % hold on; + % plot(OV1(:,1),OV1(:,2),'.'); + % hold off; + % axis equal; + % title('Outline + handle samples'); + % subplot(3,1,2); + % plot([OV(OE(:,1),1) OV(OE(:,2),1)]',[OV(OE(:,1),2) OV(OE(:,2),2)]','-','LineWidth',1); + % hold on; + % plot(OV(:,1),OV(:,2),'.'); + % hold off; + % axis equal; + % title('Input to triangle (collapsed points + split edges)'); + % % show a plot of the result + % subplot(3,1,3); + % tsurf(NF,NV); + % hold on; + % plot([OV(OE(:,1),1) OV(OE(:,2),1)]',[OV(OE(:,1),2) OV(OE(:,2),2)]','-','LineWidth',2); + % hold off; + % axis equal; + % title('Output of triangle'); + + %% THIS DOES NOT WORK FOR MESHES THAT AREN"T TOPOLOGICAL DISKS!! HOLES WILL + %% BE CLOSED + + dim = size(V,2); + assert(dim == size(C,2)); + % only work with 2D + assert(dim == 2); + + % Find all edges in mesh, note internal edges are repeated + E = sort([F(:,1) F(:,2); F(:,2) F(:,3); F(:,3) F(:,1)]')'; + % determine uniqueness of edges + [u,m,n] = unique(E,'rows'); + % determine counts for each unique edge + counts = accumarray(n(:), 1); + % extract edges that only occurred once + O = u(counts==1,:); + % extract unique vertex indices on outline + [u,m,n] = unique(O(:)); + % original map O = IM(O) + IM = 1:size(V,1); + IM(O(:)) = n; + OV = V(u,:); + OE = IM(O); + + + + samples_per_edge = 10; + % Bone samples + [BES,BESE] = sample_edges(C,BE,samples_per_edge); + % Cage edge samples + [CES,CESE] = sample_edges(C(P,:),CE,samples_per_edge); + % Append handle samples + OV = [OV;C(P,:);BES;CES]; + OE = [ ... + OE; ... + (size(OV,1)-size(BES,1)-size(CES,1))+BESE; ... + (size(OV,1)-size(CES,1))+CESE]; + + % save old values + OV1 = OV; + OE1 = OE; + + % phony counts to enter while loop + prev_v_count = size(OV,1)+1; + prev_e_count = size(OE,1)+1; + % this epsilon is a parameter that probably needs to be tweaked and should at + % least be exposed. + % Use fraction of average edge length + epsilon = mean(sqrt(sum((OV(OE(:,1),:) - OV(OE(:,2),:)).^2,2)))/8; + % continue to collapse points and split edges until nothing more to do + while( prev_v_count ~= size(OV,1) || prev_e_count ~= size(OE,1)) + prev_v_count = size(OV,1); + prev_e_count = size(OE,1); + [OV,OE] = collapse_close_points(OV,OE,epsilon); + [OV,OE] = snap_points_to_close_edges(OV,OE,epsilon); + end + + % Again, max area term here is a heuristic + %sum((OV(OE(:,1)) - OV(OE(:,2))).^2,2) + % use a multiple of min edge length + %max_area = 2*(sqrt(3)/4)*min(sum((OV(OE(:,1),:) - OV(OE(:,2),:)).^2,2)); + max_area = 8*(sqrt(3)/4)*min(sum((OV(OE(:,1),:) - OV(OE(:,2),:)).^2,2)); + [NV,NF] = triangle(OV,OE,[],'Quality',30,'MaxArea',max_area); +end diff --git a/matlab/external/gptoolbox/mesh/remesh_planar_patches.m b/matlab/external/gptoolbox/mesh/remesh_planar_patches.m new file mode 100644 index 0000000..29d22e6 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/remesh_planar_patches.m @@ -0,0 +1,175 @@ +function [W,G,IM,C] = remesh_planar_patches(V,F,varargin) + % REMESH_PLANAR_PATCHES Find nearly planar patches and retriangulate them. + % (V,F) should probably not be self-intersecting, at least not near the + % planar patches. This will attempt to maintain non-manifold edges + % (untested). + % + % [W,G] = remesh_planar_patches(V,F) + % [W,G,IM,C] = remesh_planar_patches(V,F,'ParameterName',ParameterValue,...) + % + % Inputs: + % V #V by 3 list of vertices + % F #F by 3 list of triangle indices + % Optional: + % 'Force' followed by whether to remesh even if it will not improve + % the number of vertices {false}. + % 'MinSize' followed by minimum number of facets in group to consider for + % remeshing {4} + % 'MinDeltaAngle' followd by minimum change in angle between neighboring + % facets to be considered co-planar {pi-1e-5} + % + % Outputs: + % W #W by 3 list of output mesh positions + % G #G by 3 list of output triangle indices + % IM indices from final remove_unreferenced + % C #F list of patch indices + % + + % force remesh even if there are no internal vertices to remove + force_remesh = false; + % Minmimum angle for two neighboring facets to be considered coplanar + % in radians + min_delta_angle = pi-1e-5; + %min_delta_angle = pi-1e-3; + min_size = 4; + triangle_flags = ''; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Force','MinSize','MinDeltaAngle','TriangleFlags'}, ... + {'force_remesh','min_size','min_delta_angle','triangle_flags'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + % The right way to deal with them would be to make a list of feature edges + % (aka "exterior edges") on the original mesh and be sure these end up in any + % planar pataches. They would include the patch boundaries and any other + % internal non-manifold edges. + NME = nonmanifold_edges(F); + + A = adjacency_dihedral_angle_matrix(V,F); + % Adjacency matrix of nearly coplanar neighbors + UA = pi*(A~=0)-abs(pi*(A~=0)-A); + AF = UA>=min_delta_angle; + % get connected components + [~,C] = conncomp(AF); + %tsurf(F,V,'CData',randcycle(C)) + + [UC,~,ic] = unique(C); + ucounts = histc(C,UC); + counts = ucounts(ic); + + %tsurf(F,V,'CData',C); + %axis equal; + %drawnow; + + W = V; + G = F(counts<=min_size,:); + % loop over connected components + %for c = reshape(UC(ucounts>min_size),1,[]) + for c = 1:max(C) + if ucounts(c) > min_size + Fc = F(C==c,:); + assert(size(Fc,1)>min_size); + %S = statistics(V,Fc,'Fast',true); + %% Not dealing with holes yet + %if S.num_boundary_loops > 1 + % warning('Skipping high-genus planar patch...'); + % G = [G;Fc]; + % continue; + %end + %assert(S.num_boundary_loops == 1); + uf = unique(Fc); + % Fit plane to all points + [~,A] = affine_fit(V(uf,:)); + % Only keep outline points + O = outline(Fc); + + % Non manifold edges on this patch + NMEc = NME(all(ismember(NME,uf),2),:); + E = [O;NMEc]; + + uo = unique(E); + % Nothing to gain by remeshing + if ~force_remesh && numel(uo) == numel(uf) + G = [G;Fc]; + continue; + end + % only boundary edges projected to plane + Vuo = V(uo,:)*A; + J = 1:size(V,1); + J(uo) = 1:numel(uo); + % Remap E to Vu + O = J(O); + E = J(E); + + % THIS IS INSANELY SLOW + % DT = delaunayTriangulation(Vuo(:,1),Vuo(:,2)); + % DT.Constraints = E; + % Gc = DT.ConnectivityList; + % Triangle is way faster... + [Wuo,Gc] = triangle(Vuo,E,[],'Quiet','Flags',triangle_flags); + %tsurf(Gc,Wuo); + %input(''); + assert(size(Gc,1) >= 1); + assert(size(Wuo,1) >= size(Vuo,1)); + % easier to remove holes post hoc than pass hole positions to triangle + AE = adjacency_matrix(E); + [~,CE] = graphconncomp(AE); + if max(CE) > 1 + w = winding_number(Vuo,O,barycenter(Vuo,Gc)); + % should only be 1s and 0s + Gc = Gc(abs(w)>0.1,:); + end + + + % remap Gc to V + uo = [uo;(size(W,1)+(1:(size(Wuo,1)-size(Vuo,1))))']; + Wnew = Wuo((size(Vuo,1)+1):end,:); + VA = V*A; + %tsurf(Fc,VA); + %hold on; + %scatter(Wnew(:,1),Wnew(:,2)); + %hold off; + %pause + + I = in_element(VA,Fc,Wnew); + [~,I] = find(I); + assert(numel(I) == size(Wnew,1)); + B = barycentric_coordinates( ... + Wnew,VA((Fc(I,1)),:),VA((Fc(I,2)),:),VA((Fc(I,3)),:)); + Wnew = sum(bsxfun(@times, permute(B,[1 3 2]), ... + cat(3,V(Fc(I,1),:),V(Fc(I,2),:),V(Fc(I,3),:))),3); + W = [W;Wnew]; + Gc = uo(Gc); + + %tsurf(Gc,W); + %pause + % old mean normal + oldN = mean(normalizerow(normals(V,Fc))); + N = mean(normalizerow(normals(W,Gc))); + flip = dot(oldN,N) < 0; + if flip + Gc = fliplr(Gc); + end + %tsurf(Gc,W); + %input(''); + G = [G;Gc]; + assert(max(G(:))<=size(W,1)); + end + end + + [W,IM] = remove_unreferenced(W,G); + G = IM(G); + +end diff --git a/matlab/external/gptoolbox/mesh/remove_duplicate_simplices.m b/matlab/external/gptoolbox/mesh/remove_duplicate_simplices.m new file mode 100644 index 0000000..ea4a5a2 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/remove_duplicate_simplices.m @@ -0,0 +1,13 @@ +function [SF,SFI,SFJ] = remove_duplicate_simplices(F) + % REMOVE_DUPLICATE_SIMPLICES Remove duplicate simplices (regardless of order) + % + % Inputs: + % F #F by ss list of simplex indices + % Outputs: + % SF #SF by ss list of unique simplices (maintaining original order of + % first simplex found) + % SFI #SF list so that SF = F(SFI,:) + % SFJ #SFI list so that F = SF(SFJ,:) + [~,SFI,SFJ] = unique(sort(F,2),'rows','stable'); + SF = F(SFI,:); +end diff --git a/matlab/external/gptoolbox/mesh/remove_duplicate_vertices.m b/matlab/external/gptoolbox/mesh/remove_duplicate_vertices.m new file mode 100644 index 0000000..a7ddfd0 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/remove_duplicate_vertices.m @@ -0,0 +1,64 @@ +function [SV,SVI,SVJ] = remove_duplicate_vertices(V,epsilon,varargin) + % REMOVE_DUPLICATE_VERTICES Remove duplicate vertices upto a uniqueness + % tolerance (epsilon) + % + % SV = remove_duplicate_vertices(V,epsilon) + % [SV,SVI,SVJ] = ... + % remove_duplicate_vertices(V,epsilon,'ParameterName',ParameterValue,...) + % + % Inputs: + % V #V by dim list of vertex positions + % epsilon uniqueness tolerance (significant digit) + % Optional: + % 'WhiteList' Only merge vertices from the following selection (not + % working correctly, yet) + % Outputs: + % SV #SV by dim new list of vertex positions + % SVI #SV by 1 list of indices so SV = V(SVI,:) + % SVJ #V by 1 list of indices so V = SV(SVJ,:) + % + % Example: + % % Mesh in (V,F) + % [SV,SVI,SVJ] = remove_duplicate_vertices(V,1e-7); + % % remap faces + % SF = SVJ(F); + % + + % default values + whitelist = []; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'WhiteList'}, ... + {'whitelist'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + if isempty(whitelist) + assert(nargin==1 || epsilon >= 0); + if nargin==1 || epsilon == 0 + [SV,SVI,SVJ] = unique(V,'rows','stable'); + else + [~,SVI,SVJ] = unique(round(V/(10*epsilon)),'rows','stable'); + SV = V(SVI,:); + end + else + error('not implemented correctly') + VW = V(whitelist,:); + J = 1:size(V,1); + JW = J(whitelist); + [SVW,SVIW,SVJW] = remove_duplicate_vertices(VW,epsilon); + SJ = 1:size(V,1); + SJ(whitelist) = JW(SVJ); + end +end diff --git a/matlab/external/gptoolbox/mesh/remove_unreferenced.m b/matlab/external/gptoolbox/mesh/remove_unreferenced.m new file mode 100644 index 0000000..f1e45b3 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/remove_unreferenced.m @@ -0,0 +1,41 @@ +function [RV,IM] = remove_unreferenced(V,F) + % REMOVE_UNREFERENCED Removes any rows in V that are not referenced in R + % + % [RV,IM] = remove_unreferenced(V,F) + % + % Inputs: + % V #V by dim list of "vertex positions" + % F #F by anything list of indices into V (will be treated as F(:)) + % Outputs: + % RV #V by dim vertex positions, order such that if the jth vertex is + % some face in F, and the kth vertex is not then j comes before k + % IM #V by 1 list of indices such that: RF = IM(F) and RT = IM(T) + % and V(find(IM<=size(SV,1)),:) = RV + % + % Examples: + % % Tet mesh in (V,T,F) + % [RV,I] = remove_unreferenced(V,[T(:);F(:)]); + % T = I(T); + % F = I(F); + % ... % do some computation on RV + % % replace back into V + % V(find(IM<=size(SV,1)),:) = V + % + + % get list of unique vertex indices that occur in faces + U = unique(F(:)); + % get list of vertices that do not occur in faces + NU = (1:size(V,1))'; + NU = NU(~ismember(NU,U)); + assert((size(U,1) + size(NU,1)) == size(V,1)); + % allocate space for an indexmap so that IM[i] gives new index of vertex i + IM = zeros(size(V,1),1); + % reindex vertices that occur in faces to be first + IM(U) = 1:size(U,1); + % reindex vertices that do not occur in faces to come after those that do + IM(NU) = size(U,1) + (1:size(NU,1)); + % reorder vertices + RV(IM,:) = V; + % Remove unreferenced + RV = RV(1:max(IM(F(:))),:); +end diff --git a/matlab/external/gptoolbox/mesh/resample_polygon.m b/matlab/external/gptoolbox/mesh/resample_polygon.m new file mode 100644 index 0000000..de83e2d --- /dev/null +++ b/matlab/external/gptoolbox/mesh/resample_polygon.m @@ -0,0 +1,34 @@ +function [Q,F] = resample_polygon(P,E,h) + % RESAMPLE_POLYGON Sample edges of a polygon so all new edges are smaller + % than h + % + % Inputs: + % P #P by dim list of input points + % E #E by 2 list of input edge indices into P + % h upper bound on edge length + % Outputs: + % Q #Q by dim list of output points + % F #F by 2 list of output edge indices into Q + % + + Q = P; + F = []; + l = edge_lengths(P,E); + for e = 1:size(E,1) + if l(e)<=h + % edge is already short enough + F = [F;E(e,:)]; + continue; + end + % source and dest + s = E(e,1); + Ps = P(s,:); + d = E(e,2); + Pd = P(d,:); + num_segs = ceil(l(e)/h); + t = linspace(0,1,num_segs+1)'; + M = bsxfun(@plus,Ps,bsxfun(@times,t(2:end-1),(Pd-Ps))); + F = [F; [s size(Q,1)+(1:size(M,1)); size(Q,1)+(1:size(M,1)) d]']; + Q = [Q;M]; + end +end diff --git a/matlab/external/gptoolbox/mesh/retarget.m b/matlab/external/gptoolbox/mesh/retarget.m new file mode 100644 index 0000000..622dc2d --- /dev/null +++ b/matlab/external/gptoolbox/mesh/retarget.m @@ -0,0 +1,54 @@ +function [dS,Q] = retarget(C,E,P,dQ,SC) + % RETARGET Retarget a set of relative bone transformations (dQ) from one + % skeleton (C,E,P) to another skeleton (SC,E,P) + % + % Inputs: + % C #C by 3 list of joint positions + % E #E by 2 list of bone edge indices into C + % P #E list of parent bone indices into E (0 means root) + % dQ #E by 4 list of relative bone transformations as quaternions + % SC #C by 3 list of joint positions + % Outputs: + % dS #E by 4 list of relative bone transformations as quaternions + % Q #E by 4 list of "change of basis" transformations mapping each edge in + % (C,E,P) to its corresponding edge in (SC,E,P). Such that: + % dS = quatmultiply(quatconj(Q),quatmultiply(dQ,Q)); + % + + % Find rotation that takes other bone frame to this bone frame + EV = normalizerow(C(E(:,2),:)-C(E(:,1),:)); + SEV = normalizerow(SC(E(:,2),:)-SC(E(:,1),:)); + [W,A] = axisanglebetween(SEV,EV,[0 1 0]); + Q = axisangle2quat(W,A); + + % Using the FK hierarchy **does** produce a different change of basis. I + % guess this corresponds to the parallel transport along the FK chain, which + % seems like a reasonable thing to do. + Q = zeros(size(E,1),4); + seen = false(size(E,1),1); + function Qq = change(q) + if ~seen(q) + seen(q) = true; + Qp = [1 0 0 0]; + if P(q) > 0 + change(P(q)); + Qp = Q(P(q),:); + end + % q e q' = s + % q = d p + % (dp)e(dp)' = s + % d pep' d' = s + s = SEV(q,:); + e = EV(q,:); + [W,A] = axisanglebetween(s,quatrotate(Qp,e),[0 1 0]); + Qd = axisangle2quat(W,A); + Q(q,:) = quatmultiply(Qd,Qp); + [W,A] = axisanglebetween(s,e); + end + end + for q = 1:size(Q,1) + change(q); + end + + dS = quatmultiply(quatconj(Q),quatmultiply(dQ,Q)); +end diff --git a/matlab/external/gptoolbox/mesh/sample_edges.m b/matlab/external/gptoolbox/mesh/sample_edges.m new file mode 100644 index 0000000..7cf88b3 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/sample_edges.m @@ -0,0 +1,65 @@ +function [S,SE] = sample_edges(V,E,samples_per_edge) + % SAMPLE_EDGES Compute samples_per_edge extra points along each edge in E + % defined over vertices of V. + % + % S = sample_edges(V,E,samples_per_edge) + % + % Inputs: + % V vertices over which edges are defined, # vertices by dim + % E edge list, # edges by 2 + % samples_per_edge number of extra samples to be computed along edge not + % including start and end points + % Outputs: + % S sampled vertices, size less than # edges * (2+samples_per_edge) by dim, + % always begins with V so that E is also defined over S + % + % + + dim = size(V,2); + + % trivial case + if(isempty(E)) + S = []; + SE = []; + elseif(samples_per_edge < 0) + S = V; + SE = []; + else + % fraction parameter + t = linspace(0.0,1.0,samples_per_edge+2); + % get rid of start and end points + t = t(2:(end-1)); + % repeat for each coordinate + t = reshape(repmat(t,dim,1),1,size(t,2)*dim); + % repeat for each edge + t = repmat(t,size(E,1),1); + % repeat start coords + + sp = repmat(V(E(:,1),:),1,samples_per_edge); + % repeat end coords + ep = repmat(V(E(:,2),:),1,samples_per_edge); + % lerp from start point to end point for each coordinate + S = sp.*(1-t) + ep.*t; + % reshape to list coordinates + S = S'; + S = reshape(S,dim,prod(size(S))/dim)'; + S = [V;S]; + % Determine edges between samples + E1 = repmat((1:(samples_per_edge-1))',size(E,1),1); + E2 = repmat((2:(samples_per_edge))',size(E,1),1); + off = size(V,1) + ... + reshape( ... + repmat( ... + samples_per_edge*((1:size(E,1))-1), ... + samples_per_edge-1, ... + 1), ... + (samples_per_edge-1)*size(E,1),... + 1); + SE = repmat(off,1,2) + [E1 E2]; + % end point edges + SE = [ ... + SE; ... + E(:,1) size(V,1) + (1+samples_per_edge*((1:size(E,1))-1))'; ... + E(:,2) size(V,1) + (samples_per_edge*((1:size(E,1))))']; + end +end diff --git a/matlab/external/gptoolbox/mesh/screw.m b/matlab/external/gptoolbox/mesh/screw.m new file mode 100644 index 0000000..047a137 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/screw.m @@ -0,0 +1,130 @@ +function [p,theta,s,d,f] = screw(R1,t1,R2,t2) + % SCREW Find a screw motion which interpolates two given rigid + % transformations. In 2D, a screw motion is a rotation about a fixed point + % (screw point) p. + % + % Inputs: + % R1 dim by dim rotation matrix + % t1 1 by dim translation vector + % R2 dim by dim rotation matrix + % t2 1 by dim translation vector + % Outputs: + % p point on screw axis + % theta angle of rotation around screw point/axis + % s 1 by dim screw axis (only in 3d) + % d translation along screw axis + % f 1 by dim fudge factor translation (if change in rotation is 0) + % + % Example: + % % get a polygon + % P = getPosition(impoly); + % E = [1:size(P,1);2:size(P,1) 1]'; + % % Helper functions + % rotation = @(theta) [cos(theta) -sin(theta);sin(theta) cos(theta)]; + % around = @(P,R,p) bsxfun(@plus,bsxfun(@minus,P,p)*R,p); + % rigid = @(P,R,t) bsxfun(@plus,P*R,t); + % R1 = rotation(pi/3); + % t1 = [0 1]; + % R2 = rotation(2*pi/3); + % t2 = [1 0]; + % [p,theta,~,~,f] = screw(R1,t1,R2,t2); + % plot_edges(rigid(P,R1,t1),E,'g','LineWidth',4); + % hold on; + % plot_edges(rigid(P,R2,t2),E,'r','LineWidth',4); + % scatter(p(1),p(2),'ok','LineWidth',4); + % for t = linspace(0,1,30) + % Q = bsxfun(@plus,around(rigid(P,R1,t1),rotation(t*theta),p),t*f); + % plot_edges(Q,E); + % end + % hold off; + % axis equal; + % + % Example: + % R1 = axisangle2matrix([0 0 1],pi/3); + % R2 = axisangle2matrix([0 0 1],2*pi/3); + % t1 = 0*[1 2 -1]; + % t2 = 0*[-2 1 -1]; + % rigid = @(P,R,t) bsxfun(@plus,P*R,t); + % around = @(P,theta,p,s) ... + % bsxfun(@plus,bsxfun(@minus,P,p)*axisangle2matrix(s,theta),p); + % tsurf(F,rigid(V,R1,t1),'FaceColor','g'); + % [p,theta,s,d,f] = screw(R1,t1,R2,t2); + % hold on; + % tsurf(F,rigid(V,R2,t2),'FaceColor','r'); + % for t = linspace(0.1,0.9,8); + % U = bsxfun(@plus,around(rigid(V,R1,t1),theta*t,p,s),t*d*s+t*f); + % tsurf(F,U,'CData',(1:size(F,1))'); + % end + % quiver3(p(1),p(2),p(3),s(1),s(2),s(3),'ok','LineWidth',4); + % hold off; + % axis equal; + % + + dim = size(R1,1); + assert(all(size(R1)==dim)); + assert(all(size(R2)==dim)); + assert(numel(t1)==dim); + assert(numel(t2)==dim); + % row vectors + t1 = reshape(t1,[],dim); + t2 = reshape(t2,[],dim); + + switch dim + case 2 + % Unused in 2d, set as if in 3d + s = [0 0 1]; + d = 0; + if norm(R2-R1,'fro') pi + theta = -(2*pi - theta); + end + f = [0 0]; + end + case 3 + % "Collision Prediction for Polyhedra under Screw Motions" [Kim & Rossignac + % 03] + dR = R2-R1; + if sum(sum(dR.^2,2)=2 + f = t2-t1; + p = [0 0 0]; + s = [0 0 1]; + theta = 0; + d = 0; + else + s_tilde = ... + cross(dR(1,:),dR(2,:),2) + ... + cross(dR(2,:),dR(3,:),2) + ... + cross(dR(3,:),dR(1,:),2); + s = normalizerow(s_tilde); + % Should be able to rewrite this using atan2 + sqrt(sum((dR(1,:)).^2,2)) + sqrt(sum(cross(s,R1(1,:),2).^2,2)) + theta = 2 * asin( ... + 0.5*sqrt(sum((dR(1,:)).^2,2))./ ... + sqrt(sum(cross(s,R1(1,:),2).^2,2))); + % Just consider the point o as the origin + o1 = bsxfun(@plus,[0 0 0]*R1,t1); + o2 = bsxfun(@plus,[0 0 0]*R2,t2); + d = sum((o2-o1).*s,2); + % Where o' where did this sign flip come from? + p = 0.5 * (o2 + o1 + cross(s,o2-o1,2)./tan(-theta/2)); + f = [0 0 0]; + end + end + +end diff --git a/matlab/external/gptoolbox/mesh/select_region.m b/matlab/external/gptoolbox/mesh/select_region.m new file mode 100644 index 0000000..86f6859 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/select_region.m @@ -0,0 +1,81 @@ +function [S,P] = select_region(t,P) + % SELECT_REGION select a region of a mesh viewed in a matlab trisurf plot. + % Assume that the user has already selected a viewing angle and has a handle + % to the trisurf 'patch' + % + % S = select_region(t) + % [S,P] = select_region(t,P) + % + % Inputs: + % t handle to trisurf object + % Optional: + % P polygon from previous call + % Ouputs: + % C #V list of logicals, true if in selection, false if not + % P polygon to recall this function without prompting user + % + % Example: + % % Display mesh (V,F) + % t = trisurf(F,V(:,1),V(:,2),V(:,3));axis equal + % % User should now have picked a nice view + % S = select_region(t); + % % Update display to be colored based on selection + % set(t,'CData',S*1); + % + + % get view of axis of handle t + [az,el] = view(get(t,'Parent')); + % get figure of t + of = get(get(t,'Parent'),'Parent'); + + % get vertices + V = get(t,'Vertices'); + % get vertices + F = get(t,'Faces'); + + % rotate by 90 degrees + Rx90 = [1 0 0; 0 cos(-pi/2) -sin(-pi/2);0 sin(-pi/2) cos(-pi/2)]; + % rotatation according to elevation from view of t + Rx = [1 0 0; 0 cos(el*pi/180) -sin(el*pi/180);0 sin(el*pi/180) cos(el*pi/180)]; + % rotation according to azimuth of view of t + Rz = [cos(-az*pi/180) -sin(-az*pi/180) 0; sin(-az*pi/180) cos(-az*pi/180) 0;0 0 1]; + + % rotation matrix that will rotate mesh to + R = (Rx90*Rx*Rz); + R = R(1:2,:); + view_V = [V] * R'; + % use zero for z values + view_V(:,3) = 0; + + + if ~exist('P','var') || isempty(P) + % make a new figure + f = figure; + set(f,'Position',get(of,'Position')); + + trisurf(F,view_V(:,1),view_V(:,2),view_V(:,3)); + axis equal; + view(2) + % get window size + A = axis; + A = reshape(axis,2,[]); + % grow by 100% about center + dA = [A(1,:)-A(2,:);A(2,:)-A(1,:)]/2; + axis(reshape(A+dA,1,prod(size(A)))); + + title('Make your selection here in this figure window:'); + % ask user for a polygon + h = impoly; + % Get positions of polygon vertices, before closing figure + P = getPosition(h); + % close selection figure + close(f); + end + + % In projection (screen space), determine mesh vertices are in selection or + % not + S = inpolygon(view_V(:,1),view_V(:,2),P(:,1),P(:,2)); + % convert to double + S = 1.0*S; + +end diff --git a/matlab/external/gptoolbox/mesh/shell.m b/matlab/external/gptoolbox/mesh/shell.m new file mode 100644 index 0000000..c309042 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/shell.m @@ -0,0 +1,51 @@ +function [U,G] = shell(V,F,th,varargin) + % SHELL Compute a thin shell around a triangle mesh (V,F) with thickness th. + % + % Inputs: + % V #V by 3 list of mesh vertex positions + % F #F by 3 list of triangle indices into V + % th desired thickness of shell + % Optional: + % 'Normals' followed by #V by 3 list of vertex normals to use to + % construct shell (will be multiplied by th): {area-weighted} + % Outputs: + % U 2*#V by 3 list of output mesh vertex positions: V always comes first + % G #G by 3 list of triangle indices into U + % + + N = []; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Normals'}, ... + {'N'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + if isempty(N) + N = normalizerow(per_vertex_normals(V,F)); + end + + % scale by thickness + N = N*th; + + O = outline(F); + n = size(V,1); + U = [V;V+N]; + G = [ ... + fliplr(F); ... + n+F; ... + 0+O(:,1) n+O(:,[2 1]); ... + n+O(:,2) 0+O(:,1:2)]; + +end diff --git a/matlab/external/gptoolbox/mesh/shepard.m b/matlab/external/gptoolbox/mesh/shepard.m new file mode 100644 index 0000000..d44f5e6 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/shepard.m @@ -0,0 +1,165 @@ +function [W,dist_H_V] = shepard(V,C,P,E,CE,p) + % SHEPARD Compute shepard weights for a list of vertices, given a list of + % samples and optionally a denominator power value. + % + % W = shepard(V,C) + % + % Inputs: + % V list of vertex positions + % C list of control vertices + % P list of indices into C for point controls, { 1:size(C,1) } + % E list of bones, pairs of indices into C, connecting control vertices, + % { [] } + % CE list of "cage edges", pairs of indices into ***P***, connecting + % control ***points***. A "cage edge" just tells point boundary conditions + % to vary linearly along straight lines between the end points, and to be + % zero for all other handles. { [] } + % p (optional) power for denominator, scalar or list same size as C {2} + % + % Outputs: + % W weights, # vertices by # handles matrix of weights + % + % Example: + % % "Shape-aware" shepard weights + % D = permute(sum((repmat(V,[1,1,size(C,1)]) - ... + % permute(repmat(C,[1,1,n]),[3,2,1])).^2,2),[1,3,2]); + % [minD,b] = min(D); + % snap_C = V(b,:); + % [BV,ev,ed] = biharmonic_embedding(V,F,6); + % [W] = shepard(BV,BV(b,:)); + % + % + + % check if either are 3D but really all z's are 0 + V_flat = size(V,2) == 3 && (sqrt(sum(V(:,3).^2)) < 1e-10); + C_flat = size(C,2) == 3 && (sqrt(sum(C(:,3).^2)) < 1e-10); + % is both are essentially 2D then ignore z-coords + if((size(C,2) == 2 || C_flat) && (size(V,2) == 2 || V_flat)) + % ignore z coordinate + V = V(:,1:2); + C = C(:,1:2); + end + + assert(size(C,2) == size(V,2)); + dim = size(C,2); + + % default p value + if(~exist('p','var')) + p = 2; + end + + if(~exist('P','var')) + P = 1:size(C,1); + end + + if(~exist('E','var')) + E = []; + end + + if(~exist('CE','var')) + CE = []; + end + + assert(prod(size(P)) == max(size(P))); + assert(isempty(E) || size(E,2) == 2); + assert(isempty(CE) || size(CE,2) == 2); + assert(isempty(E) || max(E(:))<=size(C,1)); + assert(isempty(CE) || max(CE(:))<=numel(P)); + assert(isempty(P) || max(P(:))<=size(C,1)); + assert(isempty(E) || min(E(:)) >= 1); + assert(isempty(CE) || min(CE(:)) >= 1); + assert(isempty(P) || min(P(:)) >= 1); + + + % number of point controls + np = numel(P); + nb = size(E,1); + % number of domain vertices + n = size(V,1); + + % if p is a scalar convert it now to a list the same size as C + if(prod(size(p)) == 1) + p = repmat(p,np+nb,1); + elseif ~isempty(CE) + if 0 ~= std(p(CE(:))) + error('Variable powers not supported with cage edges'); + end + end + + dist_P_V = zeros(np,n); + if(np > 0) + % vectors from V to every P, where PmV(i,j,:) is the vector from domain + % vertex j to handle i + PmV = ... + permute( ... + permute(repmat(C(P,:),[1,1,n]),[3,2,1]) - ... + repmat(V,[1,1,np]),[3,1,2]); + % distance from V to every P, where dist_P_V(i,j) is the distance from domain + % vertex j to point handle i + dist_P_V = sqrt(sum(PmV.^2,3)); + % distance from each corner in P to the next corner so that edge_length(i) + end + + dist_B_V = zeros(nb,n); + if(nb > 0) + % loop over bones + for( ii = 1:nb ) + % project to line + [t,sqr_d] = project_to_lines(V,C(E(ii,1),:),C(E(ii,2),:)); + d = sqrt(sqr_d); + % if projected point falls outside of line segment take distance to + % closest end point + d(t<0) = sqrt(sum((V(t<0,:)-repmat(C(E(ii,1),:),size(V(t<0,:),1),1)).^2,2)); + d(t>1) = sqrt(sum((V(t>1,:)-repmat(C(E(ii,2),:),size(V(t>1,:),1),1)).^2,2)); + dist_B_V(ii,:) = d'; + end + end + + dist_H_V = [dist_P_V ; dist_B_V]; + % power of each control point seen by each vertex in domain + pp = repmat(p,1,n); + W = 1.0./((dist_H_V).^pp); + + if(size(CE,1) > 0) + % zero out previous entries in points with incident cage edges + W(CE(:),:) = 0; + % compute projection of each point to each line segment + [T,sqrD] = project_to_lines(V,C(P(CE(:,1)),:),C(P(CE(:,2)),:)); + % compute weights for each cage edge as if it were a bone + pce = (p(CE(:,1))+p(CE(:,2)))/2; + [~,dist_CE_V] = shepard(V,C,[],P(CE),[],pce); + % compute "bone weights" for each cage edge as they were before + % normalization + ppce = repmat(pce,1,n); + WCE = 1.0./((dist_CE_V).^ppce)'; + % clamp distances + T(T<0) = 0; + T(T>1) = 1; + % multiply "bone weight" by projection parameter and sum up + II = repmat(1:n,1,2*size(CE,1))'; + JJ = reshape(repmat(CE(:)',n,1),[],1); + VV = [WCE(:).*(1-T(:)); WCE(:).*T(:)]; + W = W+sparse(II,JJ,VV,n,np+nb)'; + % cage edges on-samples + on_sample = dist_CE_V < eps; + [I,J] = find(on_sample); + W(:,any(on_sample)) = 0; + % grab T transpose + TT = T'; + W(sub2ind(size(W),CE(I,1),J)) = 1-TT(on_sample); + W(sub2ind(size(W),CE(I,2),J)) = TT(on_sample); + end + + % Handle degenrate case that a control point is on a mesh vertex + % snap vertices close to corners + on_sample = dist_H_V < eps; + W(:,any(on_sample,1)) = 0; + W(on_sample) = 1; + + % normalize W + W = W./repmat(sum(W,1),np+nb,1); + + % we've made W transpose + W = W'; + +end diff --git a/matlab/external/gptoolbox/mesh/showvoronoi.m b/matlab/external/gptoolbox/mesh/showvoronoi.m new file mode 100644 index 0000000..4bebfb5 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/showvoronoi.m @@ -0,0 +1,34 @@ +function varargout = showvoronoi(D,V,E,RP,RD,crop) + % SHOWVORONOI display a voronoi diagram + % + % h = showvoronoi(D,V,E,RP,RD) + % h = showvoronoi(D,V,E,RP,RD,crop) + % + % Inputs: + % D #D by 2 list of voronoi cell centers (data points) + % V #V by 2 list of voronoi diagram vertices + % E #E by 2 list of voronoi internal edges + % RP #RP by 1 list of voronoi infinite ray start points + % RD #RP by 2 list of voronoi infinite direction vectors + % optional: + % crop crop plot to fit just data points {true} + % Output: + % h handle to plot + % + % See also readEDGE, triangle + % + if(~exist('crop','var')) + crop = true; + end + RD = normalizerow(RD); + offset = 2*max(sqrt(sum((V(E(:,1),:)-V(E(:,2),:)).^2,2))); + EX = [V(E(:,1),1),V(E(:,2),1); V(RP,1) V(RP,1)+offset*RD(:,1)]'; + EY = [V(E(:,1),2),V(E(:,2),2); V(RP,2) V(RP,2)+offset*RD(:,2)]'; + h = plot(EX,EY,'-',D(:,1),D(:,2),'.'); + if(crop) + set(h(1:end-1),'xliminclude','off','yliminclude','off'); + end + if(nargout == 1) + varargout{1} = h; + end +end diff --git a/matlab/external/gptoolbox/mesh/signed_distance_direction.m b/matlab/external/gptoolbox/mesh/signed_distance_direction.m new file mode 100644 index 0000000..e8b1fcc --- /dev/null +++ b/matlab/external/gptoolbox/mesh/signed_distance_direction.m @@ -0,0 +1,89 @@ +function [D,S,C] = signed_distance_direction(P,V,F) + % SIGNED_DISTANCE_DIRECTION Compute a direction which decreases signed + % distance with respect to an input mesh (V,F) at a set of points P. + % + % [D,S,C] = signed_distance_direction(P,V,F) + % + % Inputs: + % P #P by dim list of query points + % V #V by dim list of mesh vertex positions + % F #F by dim+1 list of mesh indices into V + % Outputs: + % D #P by dim list of normalized directions + % S #P signed distances + % C #P by dim list of closest points + % + + dim = size(F,2); + switch dim + case 2 + % Facets are really edges + E = F; + % O(n*m) too slow... + [T,sqrD] = project_to_lines(P,V(E(:,1),:),V(E(:,2),:),'Segments',true); + % snap to line segment + [~,J] = min(sqrD,[],2); + T = T(sub2ind(size(T),1:size(P,1),J'))'; + C = V(E(J,1),:) + bsxfun(@times,T,(V(E(J,2),:)-V(E(J,1),:))); + % sign: bug in winding number... + s = -2*(-winding_number(V,E,P))+1; + vec = C-P; + % signed distance direction + D = bsxfun(@times,s,normalizerow(vec)); + % signed distance + S = s.*normrow(D); + case 3 + [S,I,C,N] = signed_distance(P,V,F,'SignedDistanceType','pseudonormal'); + D = normalizerow(C-P); + D = bsxfun(@times,sign(S),D); + min_dist = 1e-5; + too_close = abs(S) < min_dist; + % Normals always point outside regardless of the eval point. + D(too_close,:) = -N(too_close,:); + end + + %% Find closest points + %[sqrD,I,C] = point_mesh_squared_distance(P,V,F); + %% Compute barycentric coordinates on closest faces + %B = barycentric_coordinates(C,V(F(I,1),:),V(F(I,2),:),V(F(I,3),:)); + %% Direction to closest point + %D = normalizerow(C-P); + %% Determine which are too close to trust + %min_sqr_dist = 1e-10; + %too_close = sqrD < min_sqr_dist; + %% Determine if closest point is on vertex, edge, or face AND too clost to + %% trust direction. + %epsilon = 1e-15; + %on_face = (sum(B<=epsilon,2)==0) & too_close; + %on_edge = (sum(B<=epsilon,2)==1) & too_close; + %on_vertex = (sum(B<=epsilon,2)==2) & too_close; + %% Determine which vertex or edge of that face + %[~,which_vertex] = find(B(on_vertex,:)>epsilon); + %[~,which_edge] = find(B(on_edge,:)<=epsilon); + %% Compute normals for faces, vertices and edges + %% Q: Are area normals OK? + %% H: [Bærentzen 2002/2005] suggests angle weighting. + %N_face = normalizerow(normals(V,F)); + %N_vertex = per_vertex_normals(V,F); + %% map to corners + %N_vertex = N_vertex(F,:); + %[N_edge,E,EMAP] = per_edge_normals(V,F); + %% map to directed edges + %N_edge = N_edge(EMAP,:); + %% This is an expensive way to find out if inside/outside a closed mesh + %w = winding_number(V,F,P); + %% Flip sign for interior points + %S = (1-2*w); + %D = bsxfun(@times,S,D); + %% Use inverse normals for those that are too close + %if any(on_vertex) + % D(on_vertex,:) = ... + % -N_vertex(sub2ind(size(F),I(on_vertex),which_vertex),:); + %end + %if any(on_edge) + % D(on_edge,:) = -N_edge(sub2ind(size(F),I(on_edge),which_edge),:); + %end + %if any(on_face) + % D(on_face,:) = -N_face(I(on_face),:); + %end +end diff --git a/matlab/external/gptoolbox/mesh/skeleton_extraction.m b/matlab/external/gptoolbox/mesh/skeleton_extraction.m new file mode 100644 index 0000000..e71dc9a --- /dev/null +++ b/matlab/external/gptoolbox/mesh/skeleton_extraction.m @@ -0,0 +1,278 @@ +function [W,E,U] = skeleton_extraction(V,F) + % SKELETON_EXTRACTION Compute the "skeleton" of a surface mesh following "Skeleton + % Extraction by Mesh Contraction" [Au et al. 2008]. The final combinatorially + % simplification is a bit different than the QSlim-based approach in [Au et + % al. 2008]. + % + % [W,E,U] = skeletonization(V,F) + % + % Inputs: + % V #V by 3 list of mesh vertex positions + % F #F by 3 list of mesh indices + % Outputs: + % W #W by 3 list of skeleton vertex positions + % E #E by 2 list of skeleton edges into W + % U #V by 3 list of skeleton vertex positions, before thinning + % + + delta = 1e-3; + U = V; + L = cotmatrix(U,F); + %tsurf(F,V,'FaceAlpha',0.1,'EdgeColor','k','FaceColor',[0.5 0.5 0.5],'EdgeAlpha',0.5); + %hold on; + %t = tsurf( ... + % bsxfun(@plus,size(F,1)*(0:2),(1:size(F,1))'), ... + % U(F,:),'FaceColor',[0.7 0.8 1.0],'EdgeColor','k','EdgeAlpha',0.5, ... + % 'SpecularStrength',0.1,'FaceLighting','phong'); + %tr = tsurf([1 1 1],U,'EdgeColor','r','LineWidth',2); + %hold off; + %axis equal; + %view(-62,10); + %camproj('persp'); + %light('Position',[-100.0,1.0,-1.0],'Style','infinite'); + %set(gca,'Visible','off'); + %set(gcf,'Color','w'); + %drawnow; + + b = []; + + iter = 0; + %imwrite(myaa('raw'),sprintf('parasaur-pass-%05d.png',iter)); + %set(t,'EdgeColor','none'); + iter = 1; + h = avgedge(V,F); + + while true + L = cotmatrix(U,F); + M = massmatrix(U,F,'barycentric'); + b = union(find(any(abs(L)>1e+5,2)),b); + U_prev = U; + U = min_quad_with_fixed(-(M-delta*L),2*M*U,b,U(b,:)); + %U = U/sqrt(sum(doublearea(U,F))*0.5); + %U = bsxfun(@minus,U,centroid(U,F)); + %D = max(internalangles(U,F),[],2)>0.9*pi & ... + % doublearea(U,F)<1e-5; + D = all(ismember(F,b),2); + %set(t,'Vertices',U(F,:)); + %set(tr,'Faces',F(D,:),'Vertices',U); + %xlabel(sprintf('%d',numel(b))); + %drawnow; + if max(max(abs(U-U_prev))) < 1e-2*h + break; + end + %imwrite(myaa('raw'),sprintf('parasaur-pass-%05d.png',iter)); + iter =iter + 1; + end + + + W = U; + A = adjacency_matrix(F) + speye(size(V,1)); + EC = adjacency_edge_cost_matrix(U,F); + phi = zeros(size(W,1),1); + marked = false(size(W,1),1); + E = []; + for wi = 1:size(W,1) + % this is a lot faster than find(A(ui,:)) + if marked(wi) + continue; + end + pI = A(:,wi)>0; + I = false(size(V,1),1); + N = []; + while true + pN = find(pI); + if numel(pN) <= 1 + break; + end + Wi = W(pN,:); + [pC,pS,L] = pca(Wi); + phi(wi) = L(1)/sum(L); + if phi(wi) < 0.99 + break; + end + I = pI; + N = pN; + C = pC; + S = pS; + %tsurf(F,W); + %hold on; + %scatter3(U(I,1),U(I,2),U(I,3),'SizeData',50); + %hold off; + %title(sprintf('%g',phi(wi))); + %axis equal; + %drawnow; + + %pI = (A*I)>0; + CCI = sum(A(I,:))'; + ECI = minnz(EC(I,:))'; + ECI = ECI./CCI; + ECI(I) = 0; + [~,j] = minnz(ECI); + pI = I; + pI(j) = 1; + + if isequal(pI,I) + break; + end + + end + + if ~isempty(N) + [~,O] = sort(S(:,1)); + O = N(O); + A(I,:) = 0; + A(:,I) = 0; + %tsurf(F,W); + %hold on; + %scatter3(U(I,1),U(I,2),U(I,3),'SizeData',25); + %scatter3(U(marked,1),U(marked,2),U(marked,3),'SizeData',50); + %plot_edges(U,E,'b','LineWidth',3); + %plot_edges(U,[O(1) O(end)],'r','LineWidth',3); + %hold off; + %axis equal; + %drawnow + marked(N) = true; + E = [E;O(1) O(end)]; + end + + %if phi<0.4 + % continue; + %end + %Wi = bsxfun(@plus,bsxfun(@times,S(:,1),C(:,1)'),mean(Wi)); + %d = sqrt(sum(bsxfun(@minus,Wi,Wi(1,:)).^2,2)); + %H = max(d); + %d = d/H; + %f = 2.*d.^3 - 3.*d.^2 + 1; + %f = f/sum(f); + %W(wi,:) = sum(bsxfun(@times,f,Wi)); + end + %plot_edges(W,E,'LineWidth',2) + + count = ones(size(W,1),1); + while true + [W,IM] = remove_unreferenced(W,E); + count(IM) = count; + count = count(1:size(W,1)); + E = IM(E); + %plot_edges(W,E,'LineWidth',2) + %axis equal; + %drawnow; + A = adjacency_matrix(E)+speye(size(W,1)); + [ncc,C] = conncomp(A); + if ncc == 1 + break; + end + D = pdist2(W,W); + D(A>0) = inf; + [D,I] = min(D); + [~,j] = min(D); + i = I(j); + % running average + W(i,:) = (count(i)*W(i,:)+W(j,:))/(count(i)+1); + count(i) = count(i) + 1; + E(E==j) = i; + E = unique(sort(E,2),'rows'); + end + + %G = F; + %E = edges(G); + % + %A = U(E(:,2),:)-U(E(:,1),:); + %B = cross(A,U(E(:,1),:),2); + %UH = [U ones(size(U,1),1)]; + % + %ne = size(E,1); + %n = size(U,1); + %%K = sparse( ... + %% repmat(reshape(repmat(1:ne*3,1,3),ne,9),2,1), ... + %% bsxfun(@plus,E(:),n*[1 2 0 2 0 1 3 3 3]), ... + %% repmat([-A(:,[3 1 2]) A(:,[2 3 1]) -B],2,1), ... + %% ne*3,n*4); + %%Q = K'*K; + % + %%K = zeros(3,4,size(E,1)); + %Q = zeros(4,4,size(U,1)); + %%Q = sparse(n*4,n*4); + %% This can at least be sped up using http://www.alecjacobson.com/weblog/?p=4186 + %for ei = 1:size(E,1) + % K = [ ... + % 0 -A(ei,3) A(ei,2) -B(ei,1); ... + % A(ei,3) 0 -A(ei,1) -B(ei,2); ... + % -A(ei,2) A(ei,1) 0 -B(ei,3)]; + % K2 = K'*K; + % Q(:,:,E(ei,1)) = Q(:,:,E(ei,1)) + K2; + % Q(:,:,E(ei,2)) = Q(:,:,E(ei,2)) + K2; + %end + %% Cost per vertex + %C = zeros(size(U,1),1); + %for vi = 1:size(U,1) + % C(vi) = UH(vi,:) * (Q(:,:,vi) * (UH(vi,:)')); + %end + % + % + %A = sparse(repmat((1:ne)',1,2),E,1,ne,n); + %EL = sqrt(sum(U(E(:,2),:)-U(E(:,1),:),2)); + %% This is a terrible O(n²) implemenation. The energy also doesn't match the [Au + %% et al. 2008] paper. I don't understand their description or necessarily agree + %% with the motivation. + %J = 1:size(U,1); + %while true + % % Edge-vertex incidence matrix + % ne = size(E,1); + % % Edge lengths summed at vertices + % EC = repmat(A*C,2,1) + 0.001*repmat(EL,2,1); + % % pick an edge + % [~,ei] = min(EC); + % e = E(mod(ei-1,ne)+1,:); + % if ei>ne + % e = fliplr(e); + % end + % % collapse edge + % J(e(2)) = e(1); + % J = J(J); + % Q(:,:,e(1)) = Q(:,:,e(1)) + Q(:,:,e(2)); + % C(e(1)) = UH(e(1),:) * (Q(:,:,e(1)) * (UH(e(1),:)')); + % G = J(G); + % E = J(E); + % + % A(:,e(1)) = A(:,e(1)) + A(:,e(2)); + % A(:,e(2)) = 0; + % ndeg = E(:,1)~=E(:,2); + % E = E(ndeg,:); + % EL = EL(ndeg,:); + % A = A(ndeg,:); + % G = G(G(:,1)~=G(:,2)&G(:,2)~=G(:,3)&G(:,3)~=G(:,1),:); + % %G = unique(sort(G,2),'rows'); + % if isempty(G) + % break; + % end + % + % change = any(E==e(1),2); + % Echange = unique(sort(E(change,:),2),'rows'); + % E = [E(~change,:);Echange]; + % nc = size(Echange,1); + % A = [ ... + % A(~change,:); ... + % sparse(repmat((1:nc)',1,2),Echange,1,nc,n)]; + % EL = [EL(~change);sqrt(sum(U(Echange(:,2),:)-U(Echange(:,1),:),2))]; + % + % if size(E,1)<50 + % tsurf(G,U,'EdgeColor','r'); + % hold on; + % tsurf([E E(:,1)],U,'EdgeColor','k'); + % hold off; + % title(sprintf('%d,%d',size(G,1),size(E,1))); + % axis equal; + % drawnow + % end + %end + %M = sparse(J,1:n,diag(massmatrix(V,F)),n,n); + %M(J,:) = M(J,:)*diag(1./sum(M(J,:),2)); + %U = M*V; + %[U,IM] = remove_unreferenced(U,E); + %E = IM(E); + %plot_edges(U,E,'LineWidth',2); + %hold on; + %tsurf(F,V,'CData',J,'FaceAlpha',0.2,'EdgeAlpha',0.2); + %hold off; +end diff --git a/matlab/external/gptoolbox/mesh/skinning_transformations.m b/matlab/external/gptoolbox/mesh/skinning_transformations.m new file mode 100644 index 0000000..a3357d8 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/skinning_transformations.m @@ -0,0 +1,228 @@ +function [varargout] = skinning_transformations(C,P,BE,new_C,RP) + % SKINNING_TRANSFORMATIONS compute transformations for each handle of a + % skinning deformation setup. + % + % [TR] = skinning_transformations(C,P,BE,new_C,RP) + % [T,R,S] = skinning_transformations(C,P,BE,new_C,RP) Same as above except + % rotations, scales and translations are separated, so that TR(:,1:dim,i) = + % R(:,:,i)*S(:,:,i) and TR(:,dim+1,:) = TR(:,3,:)= permute(T,[2,3,1]) + % [T,AX,AN,S,O] = skinning_transformations(C,P,BE,new_C,RP) Same as above + % except instead of representing rotations by a dim by dim matrix + % representing them as axes, AX, and angles, AN. For 2D control points C, + % AX(i,:) = [0 0 1] + % + % Inputs: + % C #C by dim list of control vertex positions + % P #P list of indices into C for point controls, { 1:size(C,1) } + % BE #BE by 2 list of bones, pairs of indices into C, connecting control + % vertices in C + % new_C #C by dim list of new control point positions + % RP #dim by #dim by #P list of rotations applied to each control point in P + % or when dim == 2, can be #P list of angles + % Outputs + % TR #dim by #dim+1 by #P+#BE list of transformations, where TR(1:2,3,i) is + % the translation for control handle i and TR(1:2,1:2,i) is the + % rotation/scale for control handle i + % or + % T #P+#BE by #dim list of translation vectors, where T(i,:) is the + % translation vector for control handle i + % R #dim by #dim by #P+#BE list of rotations matrices, where R(1:2,1:2,i) is + % the rotation matrix for control handle i + % S #dim by #dim by #P+#BE list of scale matrices, where S(1:2,1:2,i) is the + % scale matrix for control handle i + % or + % T #P+#BE by #dim list of translation vectors, where T(i,:) is the + % translation vector for control handle i + % AX #P+#BE by #dim list of rotation axis vectors, where AX(i,:) is the + % rotation axis vector for control handle i + % AN #P+#BE list of rotation angles, where AN(i) is the rotation angle for + % control handle i + % S #dim by #dim by #P+#BE list of scale matrices, where S(1:2,1:2,i) is the + % scale matrix for control handle i + % O #P+#BE + #dim list of origins + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also: lbs, dualquatlbs + + % number o dimensions + dim = size(C,2); + + if(exist('P','var')) + if(size(P,1) == 1) + P = P'; + end + else + P = (1:size(C,1))'; + end + + % point handles should be empty or a column vector + assert(isempty(P) || (size(P,2) == 1)); + % BE should be empty or be #bones by 2 list of indices + assert( isempty(BE) || (size(BE,2) == 2)); + % indices should be valid + assert(isempty(P) || (max(P) <= size(C,1))); + assert(isempty(BE) || max(BE(:)) <= size(C,1)); + + % number of point controls + np = numel(P); + % number of bone controls + nb = size(BE,1); + + + assert(all(size(C) == size(new_C))); + % if rotations are not given or given empty matrix just use identity rotation + if(~exist('RP','var') || isempty(RP) || all(RP(:)==0)) + RP = repmat(eye(dim,dim),[1,1,np]); + if(nargout == 5) + ANp = zeros([np,1]); + AXp = repmat([0 0 1],[np 1]); + end + elseif(numel(RP) == np) + % user provided rotations as angles (for 2D only) + assert(dim == 2); + % copy angles to new name + ANp = reshape(RP,np,1); + AXp = repmat([0 0 1],[np 1]); + % convert to matrices + RP = zeros([dim dim np]); + RP(1,1,:) = cos(ANp); + RP(1,2,:) = -sin(ANp); + RP(2,1,:) = sin(ANp); + RP(2,2,:) = cos(ANp); + else + if(nargout == 5) + assert(false); + end + end + % should have rotation for each control point + assert(size(RP,1) == dim); + assert(size(RP,2) == dim); + assert(size(RP,3) == np); + + % allocate space for transformations + R = repmat(eye(dim,dim),[1,1,np+nb]); + S = repmat(eye(dim,dim),[1,1,np+nb]); + + % insert point rotations (and scales) + R(1:dim,1:dim,1:np) = RP; + % for now, don't allow scaling at points + %S(1:dim,1:dim,1:np) = RS; + + % insert bone rotations (and scales) + if(nb > 0) + % edge vector at rest state + rest = C(BE(:,2),:) - C(BE(:,1),:); + rest_norms = normrow(rest); + % edge vector at pose + pose = new_C(BE(:,2),:) - new_C(BE(:,1),:); + pose_norms = normrow(pose); + + % first take care of scaling anisotropically along bone + % rotate so that rest vector is x-axis + XR = zeros([dim dim nb]); + % signed angle that takes rest to x-axis + phi = -atan2(rest(:,2),rest(:,1)); + % rotation is this angle around axis of cross between these two vectors + if(dim == 2) + % in 2d rotations are always around "z-axis" and rotation matrix is + % simple + XR(1,1,:) = cos(phi); + XR(1,2,:) = -sin(phi); + XR(2,1,:) = sin(phi); + XR(2,2,:) = cos(phi); + else + %axis = cross(repmat([1 0 0],2),rest); + phi_axis = [0*rest(:,1) -rest(:,3) rest(:,2)]; + % convert axis,angle to rotation matrix + % 3D not supported yet + assert(false); + end + + % store rotation in scale spot + S(:,:,(np+1):(np+nb)) = XR; + % scale along x-axis + S(1,:,(np+1):(np+nb)) = ... + XR(1,:,:) .* ... + permute(repmat((pose_norms./rest_norms),[1 dim 1]),[3 2 1]); + % unrotate each scale + for( ii = 1:nb) + S(:,:,np+ii) = XR(:,:,ii) \ S(:,:,np+ii); + end + + + % rotation is this angle around axis of cross between these two vectors + if(dim == 2) + % in 2d rotations are always around "z-axis" and rotation matrix is + % simple + + % use 2D signed angle + ANb = atan2(pose(:,2),pose(:,1)) - atan2(rest(:,2),rest(:,1)); + R(1,1,(np+1):(np+nb)) = cos(ANb); + R(1,2,(np+1):(np+nb)) = -sin(ANb); + R(2,1,(np+1):(np+nb)) = sin(ANb); + R(2,2,(np+1):(np+nb)) = cos(ANb); + AXb = repmat([0 0 1],[nb 1]); + else + % angle between rest and pose + ANb = acos(dot(rest,pose,2) ./ (rest_norms .* pose_norms)); + % treat degenerate angles as 0 + ANb(isnan(ANb)) = 0; + AXb = cross(rest,pose,2); + % convert axis,angle to rotation matrix + assert(false); + end + + else + ANb = []; + AXb = []; + end + + % add to translation, differnce in origin and rotation/scale applied to + % apply scale before rotation + RS = zeros(dim*(np+nb),dim); + for( ii = 1:(np+nb)) + RS((1+dim*(ii-1)):(dim*ii),1:dim) = R(1:dim,1:dim,ii) * S(:,:,ii); + end + % origin + T = zeros(np+nb,dim); + % origins + O = zeros(np+nb,dim); + % origins for point is simply the point at rest state + O(1:np,:) = C(P,:); + % insert point translations + T(1:np,:) = new_C(P,:) - C(P,:); + if(nb > 0) + % origin for bones, just use start point + O((np+1):(np+nb),:) = C(BE(:,1),:); + % insert bone translations, just use start point + T((np+1):(np+nb),:) = new_C(BE(:,1),:) - C(BE(:,1),:); + end + + % assemble output based on number of output parameters + if(nargout <= 1) + % linear transformations + T = (T+O-stacktimes(RS,O)); + TR = zeros([dim dim+1 (np+nb)]); + TR(:,1:dim,:) = permute(reshape(RS',[dim dim (np+nb)]),[2 1 3]); + TR(:,dim+1,:)= permute(T,[2,3,1]); + varargout{1} = TR; + elseif(nargout == 3) + % translations and rotations and scales + T = (T+O-stacktimes(RS,O)); + varargout{1} = T; + varargout{2} = R; + varargout{3} = S; + elseif(nargout == 5) + %T = (T+O-stacktimes(R,O)); + % translations axis angle scale origin + R = reshape(permute(R,[2 1 3]),[dim dim*(np+nb)])'; + T = (T+O-stacktimes(R,O)); + varargout{1} = T; + varargout{2} = [AXp;AXb]; + varargout{3} = [ANp;ANb]; + varargout{4} = S; + varargout{5} = O; + end + +end diff --git a/matlab/external/gptoolbox/mesh/slerp.m b/matlab/external/gptoolbox/mesh/slerp.m new file mode 100644 index 0000000..7c40979 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/slerp.m @@ -0,0 +1,42 @@ +function [C] = slerp(A,B,t) + % SLERP Spherically interpolate between to unit vectors. If not unit then + % this will normalize, slerp and then lerp magnitudes. + % + % [C] = slerp(A,B,t) + % + % Inputs: + % A #A by 3 list of unit vectors + % B #A by 3 list of unit vectors + % t #t list of values between 0 and 1 + % Outputs: + % C #A by 3 list of interpolated unit vectors + % + + assert(size(A,1)==size(B,1),'#A != #B'); + if numel(t) == 1 + t = repmat(t,size(A,1),1); + end + assert(size(A,1)==numel(t),'#A != #T'); + + % Original magnitudes + Amag = sqrt(sum(A.^2,2)); + Bmag = sqrt(sum(B.^2,2)); + % normalize a and b and keep 0's + A = bsxfun(@rdivide,A,Amag); + B = bsxfun(@rdivide,B,Bmag); + Omega = acos( sum(A.*B,2) ); + Omega(abs(Omega-pi)<1e-8) = pi-10*1e-8; + sinOmega = sin(Omega); + C = bsxfun(@times,A,sin((1-t).*Omega)./sinOmega) + ... + bsxfun(@times,B,sin(t.*Omega)./sinOmega); + % coincident + co = abs(Omega)=val,2) == 1; + [U,G21,BC21] = one_below(U,F(I21,:),2*val-SF(I21,:),val); + BC = [speye(size(V,1));BC12;BC21(:,1:size(V,1))]; + untouched = find(~I12&~I21); + G = [F(untouched,:);G12;G21]; + J = [untouched;repmat(find(I12),3,1);repmat(find(I21),3,1)]; + SU = BC*SV; + end + + U = V; + G = F; + SU = SV; + J = 1:size(F,1); + for v = 1:numel(val) + prev_J = J; + [U,G,J,BC,SU] = single_val(U,G,SU,val(v)); + J = prev_J(J); + end + + if manifold + % should be able to do this combinatorially + bbd = normrow(max(V)-min(V)); + [U,I,IM] = remove_duplicate_vertices(U,1e-14*bbd); + BC = BC(I,:); + SU = SU(I,:); + G = IM(G); + end + +end diff --git a/matlab/external/gptoolbox/mesh/slice_tets.m b/matlab/external/gptoolbox/mesh/slice_tets.m new file mode 100644 index 0000000..8a8fb55 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/slice_tets.m @@ -0,0 +1,150 @@ +function [U,G,J,BC] = slice_tets(V,T,plane,varargin) + % SLICE_TETS Slice through a tet mesh (V,T) along a given plane (via its + % implicit equation). + % + % [U,G] = slice_tets(V,T,plane) + % [U,G,J,BC] = slice_tets(V,T,plane,'ParameterName',parameter_value, ...) + % + % Inputs: + % V #V by 3 list of tet mesh vertices + % T #T by 4 list of tet indices into V + % plane list of 4 coefficients in the plane equation: [x y z 1]'*plane = 0 + % Optional: + % 'Manifold' followed by whether to stitch together triangles into a + % manifold mesh {true}: results in more compact U but slightly slower. + % Outputs: + % U #U by 3 list of triangle mesh vertices along slice + % G #G by 3 list of triangles indices into U + % J #G list of indices into T revealing which tet this face came from + % BC #U by #V list of barycentric coordinates (or more generally: linear + % interpolation coordinates) so that U = BC*V + % + % Example: + % % Tet mesh in (V,T) + % F = boundary_faces(T); + % % Solve poisson equation for interesting function inside + % L = cotmatrix(V,T); + % M = massmatrix(V,T); + % b = unique(F); + % int = setdiff(1:size(V,1),b); + % H = zeros(size(V,1),1); + % H(int) = (-L(int,int))\(M(int,int)*ones(numel(int),1)); + % clf; + % t = tsurf(F,V,'FaceColor',[0.8 0.8 0.8],'FaceAlpha',0.2,'EdgeAlpha',0.2); + % hold on; + % s = tsurf([1 1 1],V,'EdgeColor','none',fphong); + % BB = bounding_box(V(:,1:2)); + % BB = BB([1 2 4 3 1],:); + % p = plot3(BB(:,1),BB(:,2),min(V(:,3))*[1;1;1;1;1],'-','LineWidth',3); + % hold off; + % caxis([min(H) max(H)]); + % axis equal; + % for z = linspace(min(V(:,3)),max(V(:,3))) + % [U,G,BC] = slice_tets(V,T,[0 0 1 -z]); + % set(s,'Vertices',U,'Faces',G,'CData',BC*H); + % p.ZData = z*[1;1;1;1;1]; + % drawnow; + % end + % + + function [U,G,BC] = one_below(V,T,IT) + [sIT,sJ] = sort(IT,2); + sT = T(sub2ind(size(T),repmat(1:size(T,1),size(T,2),1)',sJ)); + lambda = sIT(:,2:4)./bsxfun(@minus,sIT(:,2:4),sIT(:,1)); + if construct_BC + BC = sparse( ... + repmat((1:size(sT,1)*3)',1,2), ... + [repmat(sT(:,1),3,1) reshape(sT(:,2:4),size(sT,1)*3,1)], ... + [lambda(:) 1-lambda(:)], ... + size(sT,1)*3,size(V,1)); + U = BC * V; + else + U = bsxfun(@times,V(repmat(sT(:,1),3,1),:),lambda(:)) + ... + bsxfun(@times,1-lambda(:),V(sT(:,2:4),:)); + BC = []; + end + G = bsxfun(@plus,1:size(sT,1),[0;1;2]*size(sT,1))'; + end + + function [U,G,BC] = two_below(V,T,IT) + [sIT,sJ] = sort(IT,2); + sT = T(sub2ind(size(T),repmat(1:size(T,1),size(T,2),1)',sJ)); + lambda = sIT(:,3:4)./bsxfun(@minus,sIT(:,3:4),sIT(:,1)); + gamma = sIT(:,3:4)./bsxfun(@minus,sIT(:,3:4),sIT(:,2)); + if construct_BC + BC = sparse( ... + repmat((1:size(sT,1)*4)',1,2), ... + [repmat(sT(:,1),2,1) reshape(sT(:,3:4),size(sT,1)*2,1); ... + repmat(sT(:,2),2,1) reshape(sT(:,3:4),size(sT,1)*2,1)], ... + [lambda(:) 1-lambda(:);gamma(:) 1-gamma(:)], ... + size(sT,1)*4,size(V,1)); + U = BC * V; + else + U = [ ... + bsxfun(@times,V(repmat(sT(:,1),2,1),:),lambda(:)) + ... + bsxfun(@times,1-lambda(:),V(sT(:,3:4),:)); ... + bsxfun(@times,V(repmat(sT(:,2),2,1),:),gamma(:)) + ... + bsxfun(@times,1-gamma(:),V(sT(:,3:4),:))]; + BC = []; + end + G = [ ... + bsxfun(@plus,1:size(sT,1),[0;1;3]*size(sT,1))'; ... + bsxfun(@plus,1:size(sT,1),[0;3;2]*size(sT,1))']; + end + + % default values + manifold = true; + construct_BC = nargout >= 4; + + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Manifold'}, ... + {'manifold'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this + % workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + % Homogeneous coordinates + IV = sum(bsxfun(@times,[V ones(size(V,1),1)],plane),2); + IT = IV(T); + IT = reshape(IT,size(T)); + + I13 = sum(IT<0,2) == 1; + [U13,G13,BC13] = one_below(V,T(I13,:),IT(I13,:)); + I31 = sum(IT>0,2) == 1; + [U31,G31,BC31] = one_below(V,T(I31,:),-IT(I31,:)); + I22 = sum(IT<0,2) == 2; + [U22,G22,BC22] = two_below(V,T(I22,:),IT(I22,:)); + + U = [U13;U31;U22]; + if construct_BC + BC = [BC13;BC31;BC22]; + end + G = [G13;size(U13,1)+[G31;size(U31,1)+[G22;]]]; + J = [find(I13);find(I31);repmat(find(I22),2,1)]; + N = normals(U,G); + flip = sum(bsxfun(@times,N,plane(1:3)),2)<0; + G(flip,:) = fliplr(G(flip,:)); + + if manifold + % should be able to do this combinatorially + bbd = normrow(max(V)-min(V)); + [U,I,IM] = remove_duplicate_vertices(U,1e-14*bbd); + if construct_BC + BC = BC(I,:); + end + G = IM(G); + end + +end diff --git a/matlab/external/gptoolbox/mesh/snap_points.m b/matlab/external/gptoolbox/mesh/snap_points.m new file mode 100644 index 0000000..f36eb26 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/snap_points.m @@ -0,0 +1,58 @@ +function [I,minD,VI] = snap_points(C,V,varargin) + % SNAP_POINTS snap list of points C to closest of another list of points V + % + % [I,minD,VI] = snap_points(C,V) + % [I,minD,VI] = snap_points(C,V,'ParameterName',ParameterValue) + % + % Inputs: + % C #C by dim list of query point positions + % V #V by dim list of data point positions + % Optional: + % 'Norm' followed by integer p + % Outputs: + % I #C list of indices into V of closest points to C + % minD #C list of squared (^p) distances to closest points + % VI #C by dim list of new point positions, VI = V(I,:) + % + + % default norm is 2 + p = 2; + + v = 1; + while v <= numel(varargin) + switch varargin{v} + case 'Norm' + assert((v+1)<=numel(varargin)); + v = v+1; + p = varargin{v}; + otherwise + error(['Unsupported parameter: ' varargin{v}]); + end + v=v+1; + end + + assert(size(V,2) == size(C,2)); + + % number of mesh vertices + n = size(V, 1); + + % number of control vertices + c = size(C,1); + + if p~=2 + %% compute distance from every vertex in the mesh to every control vertex + %D = permute(sum(abs(repmat(V,[1,1,c]) - ... + % permute(repmat(C,[1,1,n]),[3,2,1])).^p,2),[1,3,2]); + %% use distances to determine closest mesh vertex to each control vertex + %% Cv(i) is closest vertex in V to ith control vertex in C + %[minD,I] = min(D); + [I,minD] = knnsearch(V,C,'Distance','minkowski','P',p); + else + [I,minD] = knnsearch(V,C); + end + + if(nargout == 3) + VI = V(I,:); + end +end + diff --git a/matlab/external/gptoolbox/mesh/snap_points_to_close_edges.m b/matlab/external/gptoolbox/mesh/snap_points_to_close_edges.m new file mode 100644 index 0000000..572c241 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/snap_points_to_close_edges.m @@ -0,0 +1,101 @@ +function [NC,NE] = snap_points_to_close_edges(C,E,epsilon) + % SNAP_POINTS_TO_CLOSE_EDGES snap points to edges closer than a given epsilon + % breaking that edge into two edges and updating given the edge list. + % + % [NC,NE] = snap_points_to_close_edges(C,E) + % [NC,NE] = snap_points_to_close_edges(C,E,epsilon) + % + % Inputs: + % C #C by dim list of point positions + % E #E by 2 list of edges + % epsilon minium distance allowed after collapses are complete, default is to + % use fraction of maximum edge length + % Outputs: + % NC #NC by dim list of new point positions + % NE #NE by 2 list of new edges + % + % Example: + % %% Break edges + % % point position list + % C = [1,0;-1,0;0,1;eps,eps;0,-1;1,1;-1,-1]; + % % edge list + % E = [1 2; 3 4; 4 5;6 7]; + % % plot original + % subplot(1,2,1); + % plot([C(E(:,1),1) C(E(:,2),1)]',[C(E(:,1),2) C(E(:,2),2)]', ... + % '-','LineWidth',1); + % % break edges at close points + % [NC,NE] = snap_points_to_close_edges(C,E,0.2); + % % plot result + % subplot(1,2,2); + % plot([NC(NE(:,1),1) NC(NE(:,2),1)]',[NC(NE(:,1),2) NC(NE(:,2),2)]', ... + % '-','LineWidth',1); + + if ~exist('epsilon','var') || isempty(epsilon) + if size(E,2) == 2 + EE = E; + else + EE = edges(F); + end + % maximum edge length + maxD = max(sqrt(sum((C(EE(:,1),:) - C(EE(:,2),:)).^2,2))); + epsilon = maxD/100; + end + + % avoid sqrts + sqr_eps = epsilon.^2; + + % make room for outputs + NC = C; + NE = E; + + % set previous count to phony value to enter while loop + prev_count = size(NE,1)+1; + + % Continue edge break iterations until we're no longer breaking anything + while prev_count ~= size(NE,1) + prev_count = size(NE,1); + % compute projection of each point to each line segment + [T,sqrD] = project_to_lines(NC,NC(NE(:,1),:),NC(NE(:,2),:)); + % each vertex seen by each edge + NCNE = repmat(NC,[1 1 size(NE,1)]); + % edge start positions + S = NC(NE(:,1),:); + % edge destination positions + D = NC(NE(:,2),:); + % distance of each point to each edge start + sqrDS = ... + squeeze(sum((NCNE - permute(repmat(S,[1 1 size(NC,1)]),[3 2 1])).^2,2)); + % distance of each point to each edge dest + sqrDD = ... + squeeze(sum((NCNE - permute(repmat(D,[1 1 size(NC,1)]),[3 2 1])).^2,2)); + % replace distances to edges when point is closest to start or dest endpoints + % respectively + sqrD(T<0) = sqrDS(T<0); + sqrD(T>1) = sqrDD(T>1); + % inf-out self-distances + sqrD( ... + sub2ind(size(sqrD),[NE(:,1);NE(:,2)],[1:size(NE,1) 1:size(NE,1)]')) = inf; + % for each edge find the closest point + [minD,break_q] = min(sqrD); + % mask telling whether closest point for each edge is close enough + close = minDallE(:,1)),nv,nv); + % Edge partiy sum adjacency matrix + EP = DA - DA'; + % Symmetrize + EP = EP + EP'; + % Non-manifold edges in query + NM = EP(sub2ind(size(EP),E(:,1),E(:,2)))~=0; + if any(NM) + warning('Non-manifold, boundary edge flips ignored.'); + E = E(~NM,:); + end + + FF = F; + + iter = 1; + while ~isempty(E) + % Find one edge per connected component of edges (ideally we would find a + % "perfect matching") + % Should be done in reduced graph of just vertices incident on E + ne = size(E,1); + C = components(adjacency_matrix(E)); + C = C(E(:,1)); + % Use reverse order so we can take max + E2C = sparse(1:ne,C,ne-(1:ne)+1,ne,max(C)); + mI = max(E2C,[],1); + mI = mI(mI>0); + % reverse + mI = ne - mI + 1; + EE = E(mI,:); + + if vis + tsurf(FF,V,'FaceColor','r'); + hold on; + plot_edges(V,EE,'LineWidth',3); + hold off; + axis equal; + input(''); + end + + % Pop those from E + E = E(setdiff(1:end,mI),:); + + nf = size(FF,1); + % EE now has at most one edge incident on a vertex + allE = [FF(:,[2 3]);FF(:,[3 1]);FF(:,[1 2])]; + [found,f_left] = ismember(EE,allE,'rows'); + assert(all(found),'Edges should appear in facets'); + f_left_c = floor((f_left-1)/nf)+1; + f_left = mod(f_left-1,nf)+1; + [found,f_right] = ismember(fliplr(EE),allE,'rows'); + assert(all(found),'Edges should appear in facets in both directions'); + f_right_c = floor((f_right-1)/nf)+1; + f_right = mod(f_right-1,nf)+1; + + % c + % /|\ + % / | \ + % a--d--b + % + + BC = barycenter(V,EE); + nv = size(V,1); + V = [V;BC]; + old_nf = size(FF,1); + FF = [FF; ... + FF(f_right,:); ... + FF(f_left,:)]; + nf = size(FF,1); + FF(sub2ind([nf 3],f_right,mod(f_right_c+1,3)+1)) = nv+(1:size(EE,1)); + FF(sub2ind([nf 3],f_left,mod(f_left_c+1,3)+1)) = nv+(1:size(EE,1)); + FF(sub2ind([nf 3],old_nf+(1:size(EE,1))',mod(f_right_c,3)+1)) = nv+(1:size(EE,1)); + FF(sub2ind([nf 3],old_nf+size(EE,1)+(1:size(EE,1))',mod(f_left_c,3)+1)) = nv+(1:size(EE,1)); + + if vis + tsurf(FF,V,'FaceColor','r','FaceAlpha',0.5); + axis equal; + input(''); + end + + if iter >= max_iter + break; + end + iter = iter + 1; + + end + + U = V; +end diff --git a/matlab/external/gptoolbox/mesh/stable_camva.m b/matlab/external/gptoolbox/mesh/stable_camva.m new file mode 100644 index 0000000..05397d1 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/stable_camva.m @@ -0,0 +1,15 @@ +function stable_camva(a) + % STABLE_CAMVA Act like camva without changing zoom (aka dolly zoom) + % + % Inputs: + % a angle input to camva + % + % See also: camva + old_a = camva; + old_t = camtarget; + old_p = campos; + camva(a); + s = tan(a/2*pi/180)/tan(old_a/2*pi/180); + p = (old_p-old_t)/s+old_t; + campos(p); +end diff --git a/matlab/external/gptoolbox/mesh/stacktimes.m b/matlab/external/gptoolbox/mesh/stacktimes.m new file mode 100644 index 0000000..d2e7375 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/stacktimes.m @@ -0,0 +1,43 @@ +function SV = stacktimes(S,V) + % STACKTIMES Multiply each matrix in a vertical stack of matrices, S, times + % each vector in a list of row-vectors, V. Equivalent to the following: + % s = size(V,1); + % n = size(V,2); + % m = size(S,1)/s; + % SV = zeros(s,m); + % for ii = 0:(s-1) + % SV(ii+1,:) = (S((m*ii+1):(m*ii+m),:)*(V(ii+1,:)'))'; + % end + % + % SV = stacktimes(S,V) + % + % Inputs: + % S a list of s, m by n matrices, stacked vertically. That is a s*m by n + % matrix + % OR + % a 3d-array, of size m by n by s + % V a list of s n-size row-vectors, that is: an s by n array + % Outputs: + % SV = list of s m-size row-vectors + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + + s = size(V,1); + n = size(V,2); + if(size(S,3) ~= 1) + assert(s == size(S,3)); + m = size(S,1); + % S is a 3D array, convert to vertically stacked + S = reshape(permute(S,[2,1,3]),[n,s*m])'; + else + assert( n == size(S,2)); + m = size(S,1)/s; + assert( m == round(m)); + end + + I = repmat([1:(m*s)],1,n); + J = repmat(reshape(repmat(1:n:(s*n),m,1),1,s*m),1,n) + ... + reshape(repmat(0:(n-1),s*m,1),1,s*m*n); + SV = reshape(sparse(I,J,S(:))*reshape(V',s*n,1),m,s)'; +end diff --git a/matlab/external/gptoolbox/mesh/statistics.m b/matlab/external/gptoolbox/mesh/statistics.m new file mode 100644 index 0000000..1d7a76d --- /dev/null +++ b/matlab/external/gptoolbox/mesh/statistics.m @@ -0,0 +1,165 @@ +function S = statistics(V,F,varargin) + % STATISTICS Determine a number of statistics about a mesh + % + % Inputs: + % V #V by 3 list of mesh vertices + % F #F by 3 list of triangle indices + % Optional: + % 'Fast' followed by bool. Whether to skip certain expensive statistics + % 'MinArea' Followed by factor of bounding_box_diagonal^2 area value for + % determining small triangles {1e-7}*bounding_box_diagonal^2 + % 'MinDist' Followed by factor of bounding box diagonal dist value for + % determining close vertices {1e-7}*bounding_box_diagonal + % 'MinAngle' Followed by dist value for determining small angles + % {0.01 radians} + % Outputs: + % S Struct containing: + % num_vertices Number of vertices in V + % num_faces Number of triangles in F + % num_edges Number of unique undirected edges + % num_combinatorially_duplicate_faces Number of faces minus number of + % combinatorially unique faces + % num_duplicate_vertices Number vertices minus number of geometrically + % unique vertices + % num_combinatorially_degenerate_faces Number of faces with 2 or more of + % the same vertices as corners + % num_geometrically_degenerate_faces Number of faces with area == 0. + % Note that combinatorially degenerate faces will be included. + % num_connected_components Number of connected compenents of mesh as + % graph (includes each unreferenced vertex as a singlton component) + % num_unreferenced_vertices Number of vertices not appearing in F + % num_boundary_edges Number of boundary edges + % num_nonmanifold_edges Number of non-manifold edges (edges with valence + % >2) + % num_conflictingly_oriented_edges Number of edges with and even number + % of incident faces having conflicting orientation + % num_nonmanifold_vertices Number of non-manifold vertices (vertices + % whose incident faces do not form exaclty one connected component) + % num_handles Genus of surface, (2-X)/2, where X is Euler characteristic + % num_boundary_loops Number of connected components in undirected graph + % of boundary edges + % num_small_triangles Number of triangles with area < min_area + % num_small_angles Number of corners with internal angles < min_angle + % num_close_vertices Number of vertices minus number of unique vertices + % upto rounding coordinates by min_dist (~L1 distance) + % Not 'Fast' + % num_selfintersecting_pairs Number of self intersecting pairs of + % triangles + % + % Examples: + % S = statistics(V,F,'Fast',true) + % subplot(3,1,1); + % hist(doublearea(V,F)/2,100); + % title('areas'); + % subplot(3,1,2); + % hist(reshape(internalangles(V,F),[],1),100); + % title('internal angles'); + % subplot(3,1,3); + % bar( ... + % sort(sparse( ... + % connected_components(F),1,diag(massmatrix(V,F,'barycentric'))), ... + % 'descend')); + % title('CC areas'); + + fast = false; + min_area = 1e-7; + min_dist = 1e-7; + min_angle = 0.01; + + ii = 1; + while ii<=numel(varargin) + switch varargin{ii} + case 'MinArea' + assert(ii+1<=numel(varargin)); + ii = ii+1; + min_area = varargin{ii}; + case 'MinDist' + assert(ii+1<=numel(varargin)); + ii = ii+1; + min_dist= varargin{ii}; + case 'MinAngle' + assert(ii+1<=numel(varargin)); + ii = ii+1; + min_angle = varargin{ii}; + case 'Fast' + assert(ii+1<=numel(varargin)); + ii = ii+1; + fast = varargin{ii}; + otherwise + error(['Unsupported parameter `' varargin{ii} '`']); + end + ii = ii + 1; + end + + bbd = sqrt(sum((max(V)-min(V)).^2,2)); + + % easy + S.num_faces = size(F,1); + S.num_vertices = size(V,1); + S.num_edges = size(edges(F),1); + S.num_combinatorially_duplicate_faces = ... + S.num_faces - size(unique(sort(F,2),'rows'),1); + S.num_duplicate_vertices = ... + S.num_vertices - size(remove_duplicate_vertices(V,0),1); + + C = zeros(size(V,1),1); + C(1:max(F(:)),:) = connected_components(F); + C(C==0) = max(C)+(1:sum(C==0)); + S.num_unreferenced_vertices = sum(sparse(C,1,1)==1); + S.num_connected_components = max(C); + + E = [F(:,[2 3]); F(:,[3 1]); F(:,[1 2])]; + % Direct all edges so sortE(:,1) < sortE(:,2) + sortE = sort(E,2); + % Adjacency matrix for these "redirected" edges + DA = sparse(sortE(:,1),sortE(:,2),1,size(V,1),size(V,1)); + % If edge occurs more than once it's non-manifold + S.num_nonmanifold_edges = nnz(DA>2); + % If edge only occurs once then it's a boundary + S.num_boundary_edges = nnz(DA==1); + % Same adjacency matrix but count -1 if E(:,1)1); + + S.euler_characteristic = S.num_vertices - S.num_edges + S.num_faces; + b = S.num_boundary_loops; + % http://en.wikipedia.org/wiki/Genus_(mathematics)#Orientable_surface + % X = 2 - 2g - b + % X + b - 2 = - 2g + % 2-b-X = 2g + % g = (2-b-X)/2 + % http://sketchesoftopology.wordpress.com/2008/02/04/genus-euler-characteristic-boundary-components/ + S.num_handles = ... + (2*S.num_connected_components - ... + S.num_boundary_loops - ... + S.euler_characteristic)/2; + + dblA = doublearea(V,F); + S.num_geometrically_degenerate_faces = sum(dblA==0); + S.num_combinatorially_degenerate_faces = ... + sum((F(:,1)==F(:,2)) | (F(:,2)==F(:,3)) | (F(:,3)==F(:,1))); + + S.num_small_triangles = sum(dblA<2*min_area*bbd*bbd); + S.num_small_angles = sum(sum(internalangles(V,F)eps,:); + [~,~,IF] = selfintersect(V3,Fnd,'DetectOnly',true); + S.num_selfintersecting_pairs = size(IF,1); + end + + +end diff --git a/matlab/external/gptoolbox/mesh/stiff_points_lbs.m b/matlab/external/gptoolbox/mesh/stiff_points_lbs.m new file mode 100644 index 0000000..e7b100e --- /dev/null +++ b/matlab/external/gptoolbox/mesh/stiff_points_lbs.m @@ -0,0 +1,120 @@ +function [U] = stiff_points_lbs(V,C,P,SE,new_C,WP,WS) + % STIFF_POINTS_LBS Linear blend skinning with stiff points + % + % [U] = stiff_points_lbs(V,C,P,BE,new_C,WP,WS) + % + % Inputs: + % V #V by dim list of vertex positions + % C #C by dim list of control vertex rest positions + % P #P list of indice into C of point controls + % SE #B by 2 list of stiffening bone indices into *P* + % new_C #C by dim list of update postions for control vertices + % W #V by #P list of point weights + % WS #V by #S list of bone endpoint weights cooresponding to BE(:,2) + % Output: + % U #V by dim list of new vertex positions + % + + + assert(size(V,2) == size(C,2)); + % number of dimensions + dim = size(V,2); + % number of domain vertices + n = size(V,1); + % number of points + np = numel(P); + % number of stiffening edges + ns = size(SE,1); + assert(max(P) <= size(C,1)); + assert(min(P) >= 1); + assert(size(SE,2) == 2); + assert(max(SE(:)) <= np); + assert(min(SE(:)) >= 1); + assert(size(WP,1) == n); + assert(size(WP,2) == np); + assert(size(WS,1) == n); + assert(size(WS,2) == ns); + assert(all(size(C) == size(new_C))); + + % + % u = ∑_i wpi (v) [ pi' + Ri(v) * ( v - pi ) ] + % where + % Ri(v) = ∑_j∈N(i) wsj(v) * Rij + % and Rij is the bone rotation of points i and j + + % Mask weights with bone incidence + % M(i,k) is 1 iff handle i is incident on bone k + M = sparse([SE(:,1)' SE(:,2)'],[1:ns 1:ns],1); + % M(j,i,k) is 1 only iff handle i is incident on bone k + M = permute(repmat(full(M),[1 1 n]),[3 1 2]); + WSP = permute(repmat(WS,[1 1 np]),[1 3 2]) .* M; + % normalize per vertex per handle + WSP = WSP ./ repmat(sum(WSP,3),[1 1 ns]); + % Why do I have to do this? + WSP(isnan(WSP)) = 0; + + rest = C(P(SE(:,2)),:) - C(P(SE(:,1)),:); + pose = new_C(P(SE(:,2)),:) - new_C(P(SE(:,1)),:); + + % compute bone rotations + [w,a] = axisanglebetween(pose,rest,[ 0 0 1]); + + if(dim == 2) + % convert to signed angle + a = a.*w(:,3); + % A(i,k) rotation of bone k seen by handle i + A = sparse([SE(:,1)' SE(:,2)'],[1:ns 1:ns],[a a]); + % A(j,i,k) rotation of bone k seen by handle i weighted according to vertex + % j of domain + A = permute(repmat(full(A),[1 1 n]),[3 1 2]); + %WSP = permute(repmat(WS,[1 1 np]),[1 3 2]); + + % perform weighted average + A = sum(WSP .* A,3); + + % convert to matrix + R = zeros([dim dim n np]); + R(1,1,:,:) = cos(A); + R(1,2,:,:) = -sin(A); + R(2,1,:,:) = sin(A); + R(2,2,:,:) = cos(A); + else + % convert to quaternions + Q = axisangle2quat(w,a); + assert(false); + end + % should now have a rotation for each domain vertex for each handle + + % repeat weights for each dimension + WPdim = permute(repmat(WP,[1 1 dim]),[1 3 2]); + U = zeros([n dim np]); + for ii = 1:np + Rii = reshape(R(:,:,:,ii),[ dim dim*n])'; + U(:,:,ii) = WPdim(:,:,ii).*( ... + repmat(new_C(P(ii),:),[n 1]) + ... + stacktimes(Rii,V - repmat(C(P(ii),:),[n 1]))); + end + U = sum(U,3); + + + + + %% subtract handle rest position from each domain vertex, VmC(j,:,i) gives + %% V(j,:) - C(i,:) + %VmC = repmat(V,[1 1 np]) - permute(repmat(C(P,:),[1 1 n]),[3 2 1]); + + %R = reshape(permute(R,[3 1 2 4]),[dim*n,dim,np]); + %R + %RVmC = zeros([n dim np]); + %% RVmC(j,:,i) = R(:,:,j,i) * VmC(j,:,i) + %for ii = 1:np + % RVmC(:,:,ii) = stacktimes(R(:,:,ii),VmC(:,:,ii)); + %end + + %% repeat weights for each dimension + %WPdim = permute(repmat(WP,[1 1 dim]),[1 3 2]); + %% repeat displacement for each vertex + %new_CV = permute(repmat(new_C,[1 1 n]),[3 1 2]); + %% weighted average + %U = sum(WPdim.*(new_CV + RVmC),3); +end diff --git a/matlab/external/gptoolbox/mesh/stretch_bones_lbs.m b/matlab/external/gptoolbox/mesh/stretch_bones_lbs.m new file mode 100644 index 0000000..5cc8ca0 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/stretch_bones_lbs.m @@ -0,0 +1,73 @@ +function [U] = stretch_bones_lbs(V,C,BE,new_C,WB,WE) + % STRETCH_BONES_LBS Linear blend skinning with stretchable bones + % + % [U] = stretch_bones_lbs(V,C,BE,new_C,WB,WE) + % + % Inputs: + % V #V by dim list of vertex positions + % C #C by dim list of control vertex rest positions + % BE #B by 2 list of bone indices into C + % new_C #C by dim list of update postions for control vertices + % WB #V by #B list of bone weights + % WE #V by #B list of bone endpoint weights cooresponding to BE(:,2) + % Output: + % U #V by dim list of new vertex positions + % + + + assert(size(V,2) == size(C,2)); + % number of dimensions + dim = size(V,2); + % number of domain vertices + n = size(V,1); + % number of bones + m = size(BE,1); + assert(size(BE,2) == 2); + assert(max(BE(:)) <= size(C,1)); + assert(min(BE(:)) >= 1); + assert(size(WB,1) == n); + assert(size(WB,2) == m); + assert(size(WE,1) == n); + assert(size(WE,2) == m); + assert(all(size(C) == size(new_C))); + + + rest = C(BE(:,2),:) - C(BE(:,1),:); + pose = new_C(BE(:,2),:) - new_C(BE(:,1),:); + + % compute rotations + [w,a] = axisanglebetween(pose,rest,[ 0 0 1]); + R = axisangle2matrix(w,a); + if(dim == 2) + R = R(1:dim,1:dim,:); + end + % compute stretch factor + stretch = normrow(pose)./normrow(rest) - 1; + % compute new position according to each bone + % stack R as one tall dim*m by dim matrix + RR = reshape(R,[dim dim*m])'; + % RV multiply vertices by each matrix and reshape so that RV is #V by dim by + % #B + RV = reshape((RR*(V'))',[n dim m]); + % compute offsets rotation times inner translation (stretch) + % repmat WE for each dimension and rearrange so bones are last index + WEdim = permute(repmat(WE,[1 1 dim]),[1 3 2]); + stretch_offset = stacktimes(RR,(repmat(stretch,[1 dim]).*rest)); + %stretch_offset = RR*((repmat(stretch,[1 dim]).*rest)'); + + WE_stretch_offset = WEdim .* permute(repmat(stretch_offset,[1 1 n]),[3 2 1]); + Roffset = stacktimes(RR,(-C(BE(:,1),:))); + % translation part + T = ... + permute(repmat(new_C(BE(:,1),:) + Roffset,[1 1 n]),[3 2 1]) + ... + WE_stretch_offset; + % sum across bones + WBdim = permute(repmat(WB,[1 1 dim]),[1 3 2]); + U = sum( WBdim.*(T+RV),3); + + + %%% convert point weights to end point weights + %%WE1 = WC(:,BE(:,1)); + %%WE2 = WC(:,BE(:,2)); + %%WE = WE1 ./ (WE1 + WE2); +end diff --git a/matlab/external/gptoolbox/mesh/surf_to_mesh.m b/matlab/external/gptoolbox/mesh/surf_to_mesh.m new file mode 100644 index 0000000..7315bf4 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/surf_to_mesh.m @@ -0,0 +1,28 @@ +function [V,F] = surf_to_mesh(X,Y,Z) + % SURF_TO_MESH Convert a grid-based `surf` representation of surface to a + % triangle mesh representation. + % + % [V,F] = surf_to_mesh(X,Y,Z) + % + % Inputs: + % X m by n list of x-coordinates + % Y m by n list of y-coordinates + % Z m by n list of z-coordinates + % Outputs: + % V #V by 3 list of vertex positions + % F #F by 3 list of face indices + % + + clean = true; + s2p = surf2patch(X,Y,Z); + F = s2p.faces; + V = s2p.vertices; + F = [F(:,[1 2 3]);F(:,[1 3 4])]; + + if clean + [V,VI,VJ] = remove_duplicate_vertices(V,1e-7); + F = VJ(F); + F = F(doublearea(V,F)>eps,:); + end + +end diff --git a/matlab/external/gptoolbox/mesh/takeo_arap.m b/matlab/external/gptoolbox/mesh/takeo_arap.m new file mode 100644 index 0000000..42c3152 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/takeo_arap.m @@ -0,0 +1,478 @@ +function [U,U1,UF] = takeo_arap(varargin) + % TAKEO_ARAP Solve "As-Rigid-As-Possible" according to "As-Rigid-As-Possible + % Shape Manipulation" by Igarashi et al. Given a rest mesh (V,F) and list of + % constraint vertex indices (b) and their new postions (bc) solve for pose + % mesh positions (U) + % + % U = takeo_arap(V,F,b,bc) Original implementation of takeo's arap: i.e. use + % Least Squares Conformal Map as initial guess followed by "1 iteration" of + % rotation fitting and poisson solve. + % + % U = takeo_arap(V,F,b,bc,'ParameterName','ParameterValue'); + % + % + % Inputs: + % V #V by 2 list of rest domain positions + % F #F by 3 list of triangle indices into V + % b #b list of indices of constraint (boundary) vertices + % bc #b by 2 list of constraint positions for b + % Optional: + % 'V0' #V by dim list of initial guess positions + % dim by dim by #C list of linear transformations initial guesses, + % optional (default is to use identity transformations) + % 'Tol' + % stopping critera parameter. If variables (linear transformation matrix + % entries) change by less than 'tol' the optimization terminates, + % default is 0.75 (weak tolerance) + % 'MaxIter' + % max number of local-global iterations, default is 1, so that calling + % without specifying iterations is equivalent to takeos original + % implementation + % Outputs: + % U #V by 2 list of new positions + % U1 #V by 2 list of positions before final fit and poisson iteration + % UF #F*3 by 2 list of positions after final fit but before final poisson + % iteration + % + % See also: arap, takeo_asap + % + + % parse input + V = varargin{1}; + F = varargin{2}; + b = varargin{3}; + bc = varargin{4}; + + % default values + max_iterations = 1; + tol = 0.001; + + % average edge length, helps later to keep tolerance somewhat domain + % independent + h = avgedge(V,F); + + % number of vertices + n = size(V,1); + % number of dimensions + dim = size(V,2); + % only works in 2D + assert(dim == 2) + % number of triangles + nt = size(F,1); + + ii = 5; + while(ii <= nargin) + if strcmp(varargin{ii},'V0'); + ii = ii + 1; + assert(ii<=nargin); + U = varargin{ii}; + elseif strcmp(varargin{ii},'Tol'); + ii = ii + 1; + assert(ii<=nargin); + tol = varargin{ii}; + elseif strcmp(varargin{ii},'MaxIter'); + ii = ii + 1; + assert(ii<=nargin); + max_iterations = varargin{ii}; + end + ii = ii + 1; + end + + if ~exist('U','var') || isempty(U) + % First step: solve ASAP deformation + [U,XI,YI] = takeo_asap(V,F,b,bc); + else + [XI,YI] = relative_coordinates(V,F); + % reshape coordinate into single tall column + XI = reshape(XI,size(F,1)*3,1); + YI = reshape(YI,size(F,1)*3,1); + end + + assert(all(size(V) == size(U))); + + + % indices of each triangle + t = 1:nt; + % indices of three corners of each triangle as seen by other corners + ti = [t+(1-1)*nt t+(2-1)*nt t+(3-1)*nt]; + tj = [t+(2-1)*nt t+(3-1)*nt t+(1-1)*nt]; + tk = [t+(3-1)*nt t+(1-1)*nt t+(2-1)*nt]; + % indices to each triangle + i = [F(t,1);F(t,2);F(t,3)]'; + j = [F(t,2);F(t,3);F(t,1)]'; + k = [F(t,3);F(t,1);F(t,2)]'; + % Rename for convenience + xi = XI(ti); + yi = YI(ti); + xj = XI(tj); + yj = YI(tj); + xk = XI(tk); + yk = YI(tk); + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % + % Prepare fitting system + % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % quadratic part + QI = [[ti ti+3*nt]'; [ti ti+3*nt]'; [tj tj+3*nt]';[ti ti+3*nt]';[tj+3*nt tj]']; + QJ = [[ti ti+3*nt]'; [tj tj+3*nt]'; [ti ti+3*nt]';[tj+3*nt tj]';[ti ti+3*nt]']; + QV = [ ... + (1- 2*[xk;xk] + [xk;xk].^2 + [xj;xj].^2 + [-yk;yk].^2 + [-yj;yj].^2) ;... + (-[xk;xk].^2 +[xk;xk]-[-yk;yk].^2); ... + (-[xk;xk].^2 +[xk;xk]-[-yk;yk].^2); ... + ([yk;-yk]); ... + ([yk;-yk]); ... + ]; + Qfit = sparse(QI,QJ,QV,2*3*nt,2*3*nt); + % prepare fitting output + UF = zeros(3*nt,dim); + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % + % Prepare poisson solve + % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % cotan weights + Lcot = cotmatrix(V,F); + % quadratic coefficients + QI = [j j i i]'; + QJ = [j i j i]'; + QV = [ ... + Lcot(sub2ind(size(Lcot),i,j)'); ... + -Lcot(sub2ind(size(Lcot),i,j)'); ... + -Lcot(sub2ind(size(Lcot),i,j)'); ... + Lcot(sub2ind(size(Lcot),i,j)')]; + Qpoi = sparse(QI,QJ,QV,n,n); + %Q = -Lcot; + + + iteration = 0; + U1 = V; + while( iteration < max_iterations && (iteration == 0 || max(abs(U(:)-U1(:)))>tol*h)) + U1 = U; + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % + % Construct and solve fitting problem + % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % repeat each vertex for each triangle corner + U1F = [U1(F(:,1),:);U1(F(:,2),:);U1(F(:,3),:)]; + % linear part for fitting + Lfit = ... + -2*(U1F([tk tk+3*nt]').*(1 - [xk;xk]) + ... + U1F([tj tj+3*nt]').*([xj;xj]) + ... + U1F([tk+3*nt tk]').*(-[-yk;yk]) + ... + U1F([tj+3*nt tj]').*([-yj;yj])); + % solve + UF(:) = min_quad_with_fixed(Qfit,Lfit,[],[]); + % ratio of old size to new size + ratioF = ... + sqrt(sum((V(F(:,1),:)-V(F(:,2),:)).^2,2))./ ... + sqrt(sum((UF(t,:)-UF(t+nt,:)).^2,2)); + % repeat for each coordinate + ratioF = repmat(ratioF,1,2); + % centers of mass + cmF = (UF(t,:) + UF(t+nt,:) + UF(t+2*nt,:))/3; + % scale each triangle to original size around its center of mass + UF(t,:) = cmF + ratioF.*(UF(t ,:) - cmF); + UF(t+nt,:) = cmF + ratioF.*(UF(t+nt ,:) - cmF); + UF(t+2*nt,:) = cmF + ratioF.*(UF(t+2*nt,:) - cmF); + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % + % Construct and solve poisson problem + % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % linear coefficients of poison problem + LI = [i i]; + LJ = [ones(3*nt,1) 2*ones(3*nt,1)]; + LV = [ ... + 2*(repmat(Lcot(sub2ind(size(Lcot),i,j)'),1,2).* ... + (UF(tj,:) - UF(ti,:)) - ... + repmat(Lcot(sub2ind(size(Lcot),k,i)'),1,2).* ... + (UF(ti,:) - UF(tk,:)))]; + Lpoi = sparse(LI(:),LJ(:),LV(:),n,2); + % solve in each coordinate + U(:,1) = min_quad_with_fixed(Qpoi,Lpoi(:,1),b,bc(:,1)); + U(:,2) = min_quad_with_fixed(Qpoi,Lpoi(:,2),b,bc(:,2)); + + % increment iteration counter + iteration = iteration + 1; + end + +end + + %U = V0; + %E = 0; + %Eq = 0; + %El = 0; + %Elxy = 0; + %Ec = 0; + %for t = 1:nt + % for i = 1:3 + % j = mod(i,3)+1; + % k = mod(i+1,3)+1; + % xi = XI(t+nt*(i-1)); + % yi = YI(t+nt*(i-1)); + % E = E + ... + % sum((U(F(t,j),:) + [xi xi].*(U(F(t,k),:)-U(F(t,j),:)) + [yi -yi].*fliplr(U(F(t,k),:)-U(F(t,j),:)) - V0(F(t,i),:)).^2,2); + % Eq = Eq + sum((U(F(t,j),:) + [xi xi].*(U(F(t,k),:)-U(F(t,j),:)) + [yi -yi].*fliplr(U(F(t,k),:)-U(F(t,j),:))).^2,2); + % El = El + sum(-2*(U(F(t,j),:) + [xi xi].*(U(F(t,k),:)-U(F(t,j),:)) + [yi -yi].*fliplr(U(F(t,k),:)-U(F(t,j),:))).*(V0(F(t,i),:)),2); + % %Elxy = Elxy + sum(-2*(U(F(t,j),1) + [xi].*(U(F(t,k),1)-U(F(t,j),1)) + [yi].*fliplr(U(F(t,k),2)-U(F(t,j),2))).*(V0(F(t,i),1)),2); + % %Elxy = Elxy + sum(-2*(U(F(t,j),2) + [xi].*(U(F(t,k),2)-U(F(t,j),2)) + [-yi].*fliplr(U(F(t,k),1)-U(F(t,j),1))).*(V0(F(t,i),2)),2); + % %El = El + sum(sum( ... + % % -2*(UF(ti,:) -[xk xk].*(UF(ti,:)) -[yk -yk].*fliplr(UF(ti,:))).*V0F(tk,:) + -2*([xj xj].*UF(ti,:)+ [yj -yj].*fliplr(UF(ti,:))).*(V0F(tj,:)),2)); + % Ec = Ec + sum(V0(F(t,i),:).^2,2); + % end + %end + %[Eq El Ec E] + + %UF = [U(F(:,1),:);U(F(:,2),:);U(F(:,3),:)]; + %new_UF = zeros(size(UF)); + + %E = 0; + %Eq = 0; + %El = 0; + %Ec = 0; + %for t = 1:nt + % ti = t+([1 2 3]-1)*nt; + % tj = t+([2 3 1]-1)*nt; + % tk = t+([3 1 2]-1)*nt; + % assert(~any(new_UF([ti ti+3*nt]))); + % xi = XI(ti); + % yi = YI(ti); + % xj = XI(tj); + % yj = YI(tj); + % xk = XI(tk); + % yk = YI(tk); + % % quadratic part + % QI = [[ti ti+3*nt]'; [ti ti+3*nt]'; [tj tj+3*nt]';[ti ti+3*nt]';[tj+3*nt tj]']; + % QJ = [[ti ti+3*nt]'; [tj tj+3*nt]'; [ti ti+3*nt]';[tj+3*nt tj]';[ti ti+3*nt]']; + % QV = [ ... + % (1- 2*[xk;xk] + [xk;xk].^2 + [xj;xj].^2 + [-yk;yk].^2 + [-yj;yj].^2) ;... + % (-[xk;xk].^2 +[xk;xk]-[-yk;yk].^2); ... + % (-[xk;xk].^2 +[xk;xk]-[-yk;yk].^2); ... + % ([yk;-yk]); ... + % ([yk;-yk]); ... + % ]; + % Q = sparse(QI,QJ,QV,2*3*nt,2*3*nt); + % % linear part + % L = -2*(V0F([tk tk+3*nt]').*(ones(3*2,1) - [xk;xk]) + V0F([tj tj+3*nt]').*([xj;xj]) + V0F([tk+3*nt tk]').*(-[-yk;yk])+V0F([tj+3*nt tj]').*([-yj;yj])); + % Eq = Eq + UF(:)'*Q*UF(:); + % El = El + UF([ti ti+3*nt]')'*L; + % % constant part + % Ec = Ec + sum(sum(V0F(ti,:).^2,2)); + % E = E + Eq + El + Ec; + %end + %[Eq El Ec E] + + %E = 0; + %Eq = 0; + %El = 0; + %Ec = 0; + %for t = 1:nt + % ti = t+([1 2 3]-1)*nt; + % tj = t+([2 3 1]-1)*nt; + % tk = t+([3 1 2]-1)*nt; + % assert(~any(new_UF([ti ti+3*nt]))); + % xi = XI(ti); + % yi = YI(ti); + % xj = XI(tj); + % yj = YI(tj); + % xk = XI(tk); + % yk = YI(tk); + % % quadratic part + % QI = [[ti ti+3*nt]'; [ti ti+3*nt]'; [tj tj+3*nt]';[ti ti+3*nt]';[tj+3*nt tj]']; + % QJ = [[ti ti+3*nt]'; [tj tj+3*nt]'; [ti ti+3*nt]';[tj+3*nt tj]';[ti ti+3*nt]']; + % QV = [ ... + % (1- 2*[xk;xk] + [xk;xk].^2 + [xj;xj].^2 + [-yk;yk].^2 + [-yj;yj].^2) ;... + % (-[xk;xk].^2 +[xk;xk]-[-yk;yk].^2); ... + % (-[xk;xk].^2 +[xk;xk]-[-yk;yk].^2); ... + % ([yk;-yk]); ... + % ([yk;-yk]); ... + % ]; + % Q = sparse(QI,QJ,QV,2*3*nt,2*3*nt); + % % linear part + % L = -2*(V0F([tk tk+3*nt]').*(ones(3*2,1) - [xk;xk]) + V0F([tj tj+3*nt]').*([xj;xj]) + V0F([tk+3*nt tk]').*(-[-yk;yk])+V0F([tj+3*nt tj]').*([-yj;yj])); + % Eq = Eq + UF([ti ti+3*nt]')'*Q([ti ti+3*nt],[ti ti+3*nt])*UF([ti ti+3*nt]'); + % El = El + UF([ti ti+3*nt]')'*L; + % % constant part + % Ec = Ec + sum(sum(V0F(ti,:).^2,2)); + % E = E + Eq + El + Ec; + % new_UF([ti ti+3*nt]') = min_quad_with_fixed(Q([ti ti+3*nt],[ti ti+3*nt]),L,[],[]); + %end + %[Eq El Ec E] + %max(abs([V0F(:)-new_UF(:)])) + + %E = 0; + %Eq = 0; + %El = 0; + %Ec = 0; + %t = 1:nt; + %ti = [t+(1-1)*nt t+(2-1)*nt t+(3-1)*nt]; + %tj = [t+(2-1)*nt t+(3-1)*nt t+(1-1)*nt]; + %tk = [t+(3-1)*nt t+(1-1)*nt t+(2-1)*nt]; + %xi = XI(ti); + %yi = YI(ti); + %xj = XI(tj); + %yj = YI(tj); + %xk = XI(tk); + %yk = YI(tk); + + %% quadratic part + %QI = [[ti ti+3*nt]'; [ti ti+3*nt]'; [tj tj+3*nt]';[ti ti+3*nt]';[tj+3*nt tj]']; + %QJ = [[ti ti+3*nt]'; [tj tj+3*nt]'; [ti ti+3*nt]';[tj+3*nt tj]';[ti ti+3*nt]']; + %QV = [ ... + % (1- 2*[xk;xk] + [xk;xk].^2 + [xj;xj].^2 + [-yk;yk].^2 + [-yj;yj].^2) ;... + % (-[xk;xk].^2 +[xk;xk]-[-yk;yk].^2); ... + % (-[xk;xk].^2 +[xk;xk]-[-yk;yk].^2); ... + % ([yk;-yk]); ... + % ([yk;-yk]); ... + % ]; + %Q = sparse(QI,QJ,QV,2*3*nt,2*3*nt); + %% linear part + %L = -2*(V0F([tk tk+3*nt]').*(1 - [xk;xk]) + V0F([tj tj+3*nt]').*([xj;xj]) + V0F([tk+3*nt tk]').*(-[-yk;yk])+V0F([tj+3*nt tj]').*([-yj;yj])); + %Eq = Eq + UF([ti ti+3*nt]')'*Q([ti ti+3*nt],[ti ti+3*nt])*UF([ti ti+3*nt]'); + %El = El + UF([ti ti+3*nt]')'*L; + %% constant part + %Ec = Ec + sum(sum(V0F(ti,:).^2,2)); + %E = E + Eq + El + Ec; + %new_UF([ti ti+3*nt]') = min_quad_with_fixed(Q([ti ti+3*nt],[ti ti+3*nt]),L,[],[]); + %[Eq El Ec E] + %max(abs([V0F(:)-new_UF(:)])) + + %U = V; + %U = rand(size(V)); + %Lcot = cotmatrix(V,F); + %E = 0; + %for t = 1:nt + % for i = 1:3 + % j = mod(i,3)+1; + % E = E + ... + % Lcot(F(t,i),F(t,j)) * ... + % sum(... + % (U(F(t,j),:) - U(F(t,i),:) - (UF(t+(j-1)*nt,:) - UF(t+(i-1)*nt,:))).^2 ... + % ,2);; + % end + %end + %E + + %E = 0; + %Eq = 0; + %El = 0; + %Ec = 0; + %for t = 1:nt + % for i = 1:3 + % j = mod(i,3)+1; + % Eq = Eq + ... + % sum(... + % Lcot(F(t,i),F(t,j)) * ... + % (U(F(t,j),:) - U(F(t,i),:)).^2 ... + % ,2); + % El = El + ... + % sum(... + % Lcot(F(t,i),F(t,j)) * ... + % -2*(U(F(t,j),:) - U(F(t,i),:)).*(UF(t+(j-1)*nt,:) - UF(t+(i-1)*nt,:)) ... + % ,2); + % Ec = Ec + ... + % sum(... + % Lcot(F(t,i),F(t,j)) * ... + % (UF(t+(j-1)*nt,:) - UF(t+(i-1)*nt,:)).^2 ... + % ,2); + % end + %end + %E = E + Eq + El + Ec; + %[Eq El Ec E] + + %E = 0; + %Eq = 0; + %El = 0; + %Ec = 0; + %for t = 1:nt + % ti = t+([1 2 3]-1)*nt; + % tj = t+([2 3 1]-1)*nt; + % i = F(t,[1 2 3]); + % j = F(t,[2 3 1]); + % Eq = Eq + ... + % sum(sum(... + % repmat(Lcot(sub2ind(size(Lcot),i,j)'),1,2).* ... + % (U(j,:) - U(i,:)).^2 ... + % ,2)); + % El = El + ... + % sum(sum(... + % repmat(Lcot(sub2ind(size(Lcot),i,j)'),1,2).* ... + % -2.*(UF(tj,:) - UF(ti,:)).* ... + % (U(j,:) - U(i,:)) ... + % ,2)); + % Ec = Ec + ... + % sum(sum(... + % repmat(Lcot(sub2ind(size(Lcot),i,j)'),1,2).* ... + % (UF(tj,:) - UF(ti,:)).^2 ... + % ,2)); + %end + %E = E + Eq + El + Ec; + %[Eq El Ec E] + + %E = 0; + %Eq = 0; + %El = 0; + %Ec = 0; + %t = 1:nt; + %ti = [t+(1-1)*nt t+(2-1)*nt t+(3-1)*nt]; + %tj = [t+(2-1)*nt t+(3-1)*nt t+(1-1)*nt]; + %i = [F(t,1);F(t,2);F(t,3)]'; + %j = [F(t,2);F(t,3);F(t,1)]'; + %Eq = Eq + ... + % sum(sum(... + % repmat(Lcot(sub2ind(size(Lcot),i,j)'),1,2).* ... + % (U(j,:) - U(i,:)).^2 ... + % ,2)); + %El = El + ... + % sum(sum(... + % repmat(Lcot(sub2ind(size(Lcot),i,j)'),1,2).* ... + % -2.*(UF(tj,:) - UF(ti,:)).* ... + % (U(j,:) - U(i,:)) ... + % ,2)); + %Ec = Ec + ... + % sum(sum(... + % repmat(Lcot(sub2ind(size(Lcot),i,j)'),1,2).* ... + % (UF(tj,:) - UF(ti,:)).^2 ... + % ,2)); + %E = E + Eq + El + Ec; + %[Eq El Ec E] + + %E = 0; + %Eq = 0; + %El = 0; + %Ec = 0; + %t = 1:nt; + %ti = [t+(1-1)*nt t+(2-1)*nt t+(3-1)*nt]; + %tj = [t+(2-1)*nt t+(3-1)*nt t+(1-1)*nt]; + %tk = [t+(3-1)*nt t+(1-1)*nt t+(2-1)*nt]; + %i = [F(t,1);F(t,2);F(t,3)]'; + %j = [F(t,2);F(t,3);F(t,1)]'; + %k = [F(t,3);F(t,1);F(t,2)]'; + %Eq = Eq + ... + % sum(sum(... + % repmat(Lcot(sub2ind(size(Lcot),i,j)'),1,2).* ... + % (U(j,:).^2 + -2*U(j,:).*U(i,:)+ U(i,:).^2) ... + % ,2)); + %QI = [j j i i]'; + %QJ = [j i j i]'; + %QV = [ ... + % Lcot(sub2ind(size(Lcot),i,j)'); ... + % -Lcot(sub2ind(size(Lcot),i,j)'); ... + % -Lcot(sub2ind(size(Lcot),i,j)'); ... + % Lcot(sub2ind(size(Lcot),i,j)')]; + %Q = sparse(QI,QJ,QV,n,n); + %%Q = -Lcot; + %Eq = U(:,1)'*Q*U(:,1) + U(:,2)'*Q*U(:,2); + %LI = [i i]; + %LJ = [ones(3*nt,1) 2*ones(3*nt,1)]; + %LV = [ 2*(repmat(Lcot(sub2ind(size(Lcot),i,j)'),1,2).*(UF(tj,:) - UF(ti,:)) - repmat(Lcot(sub2ind(size(Lcot),k,i)'),1,2).*(UF(ti,:) - UF(tk,:)))]; + %L = sparse(LI(:),LJ(:),LV(:),n,2); + %El = U(:,1)'*L(:,1)+U(:,2)'*L(:,2); + %E = E + Eq + El + Ec; + %[Eq El Ec E] + diff --git a/matlab/external/gptoolbox/mesh/takeo_asap.m b/matlab/external/gptoolbox/mesh/takeo_asap.m new file mode 100644 index 0000000..293d07f --- /dev/null +++ b/matlab/external/gptoolbox/mesh/takeo_asap.m @@ -0,0 +1,382 @@ +function [U,XI,YI] = takeo_asap(V,F,b,bc) + % TAKEO_ASAP Solve "As-Similar-As-Possible" according to "As-Rigid-As-Possible + % Shape Manipulation" by Igarashi et al., this is their "First Step". This is + % equivalent up to factor of 2.5 to lscm + % + % U = takeo_arap(V,F,b,bc) + % + % Inputs: + % V #V by 2 list of rest domain positions + % F #F by 3 list of triangle indices into V + % b #b list of indices of constraint (boundary) vertices + % bc #b by 2 list of constraint positions for b + % Outputs: + % U #V by 2 list of new positions + % X1 #F*3 by 1 list of coefficents, so that V(I,:) can be described in + % terms of V(J,:) and V(K,:), where I,J,K are the indices of each + % triangle + % Y1 #F*3 by 1 list of coefficents, see above + % + % Note about X1,Y1: + % V(I,:) = + % (V(J,:) + [XI XI].* (V(K,:) - V(J,:)) + [YI -YI].* fliplr(V(K,:)-V(J,:))) + % + % See also: arap, takeo_arap, lscm + % + + + % We will build the quadratic system matrix per triangle + % First we need for each triangle to write each vertex in terms of the other + % two vertices. + + [XI,YI] = relative_coordinates(V,F); + % reshape coordinate into single tall column + XI = reshape(XI,size(F,1)*3,1); + YI = reshape(YI,size(F,1)*3,1); + + % number of vertices + n = size(V,1); + % only works in 2D + assert(size(V,2) == 2) + % number of triangles + nt = size(F,1); + + + % Indices of each triangle vertex, I, and its corresponding two neighbors, J + % and K + I = [F(:,1);F(:,2);F(:,3)]; + J = [F(:,2);F(:,3);F(:,1)]; + K = [F(:,3);F(:,1);F(:,2)]; + % rename indices to so that I1 and I2 and so on index into vertex positions + % as single column. Namely V(I,1) = V(I1) and V(I,2) = V(I2) etc. + I1 = I; + I2 = I+n; + J1 = J; + J2 = J+n; + K1 = K; + K2 = K+n; + + % Construct quadratic system matrix each triplet from II,JJ,VV contains an + % set of elements per vertex per triangle in the quadratic energy summation + II = [ ... + J1 + J2 + J1 + K1 + J1 + K2 + J2 + K1 + J2 + K2 + K1 + K2 + I1 + J1 + I1 + J2 + I2 + J1 + I2 + J2 + I1 + I2 + I1 + K1 + I1 + K2 + I2 + K1 + I2 + K2 + ]; + JJ = [ + J1 + J2 + K1 + J1 + K2 + J1 + K1 + J2 + K2 + J2 + K1 + K2 + J1 + I1 + J2 + I1 + J1 + I2 + J2 + I2 + I1 + I2 + K1 + I1 + K2 + I1 + K1 + I2 + K2 + I2 + ]; + VV = [ ... + (1-2*XI+XI.^2+YI.^2) + (1-2*XI+XI.^2+YI.^2) + (XI-XI.^2-YI.^2) + (XI-XI.^2-YI.^2) + (YI) + (YI) + (-YI) + (-YI) + (XI-XI.^2-YI.^2) + (XI-XI.^2-YI.^2) + (XI.^2+YI.^2) + (XI.^2+YI.^2) + (-1+XI) + (-1+XI) + (YI) + (YI) + (-YI) + (-YI) + (-1+XI) + (-1+XI) + ones(nt*3,1) + ones(nt*3,1) + (-XI) + (-XI) + (-YI) + (-YI) + (YI) + (YI) + (-XI) + (-XI) + ]; + % Assembly matrix + A = sparse(II,JJ,VV,2*n,2*n); + + % solve + U = min_quad_with_fixed(A,zeros(2*n,1),[b b+n],bc(:)); + % reshape into columns + U = reshape(U,n,2); + +end + +%E = ... +% sum(sum(((U(J,:) + [XI XI].* (U(K,:) - U(J,:)) + [YI -YI].* fliplr(U(K,:)-U(J,:))) - U(I,:)).^2,2)); +% E +% +% +%E = ... +% sum( ... +% (U(J,1) + XI.* U(K,1) - XI.*U(J,1) + YI.* U(K,2) - YI.*U(J,2) - U(I,1)).^2 + ... +% (U(J,2) + XI.* U(K,2) - XI.*U(J,2) - YI.* U(K,1) + YI.*U(J,1) - U(I,2)).^2 ... +% ); +% +%E = ... +% sum( ... +% U(J,1).^2 + ... +% 2.*XI.*U(J,1).*U(K,1) - 2.*XI.*U(J,1).^2 + 2.*YI.*U(J,1).*U(K,2) - 2.*YI.*U(J,1).*U(J,2) - 2.*U(J,1).*U(I,1) + ... +% (XI.* U(K,1) - XI.*U(J,1) + YI.* U(K,2) - YI.*U(J,2) - U(I,1)).^2 + ... +% (U(J,2) + XI.* U(K,2) - XI.*U(J,2) - YI.* U(K,1) + YI.*U(J,1) - U(I,2)).^2 ... +% ); +% +%E = ... +% sum( ... +% U(J,1).^2 + ... +% 2.*XI.*U(J,1).*U(K,1) - 2.*XI.*U(J,1).^2 + 2.*YI.*U(J,1).*U(K,2) - 2.*YI.*U(J,1).*U(J,2) - 2.*U(J,1).*U(I,1) + ... +% XI.^2.*U(K,1).^2 + ... +% -2.*XI.^2.*U(J,1).*U(K,1) + 2.*XI.*YI.*U(K,1).*U(K,2) - 2.*XI.*YI.*U(K,1).*U(J,2) - 2.*XI.*U(K,1).*U(I,1) + ... +% (- XI.*U(J,1) + YI.* U(K,2) - YI.*U(J,2) - U(I,1)).^2 + ... +% (U(J,2) + XI.* U(K,2) - XI.*U(J,2) - YI.* U(K,1) + YI.*U(J,1) - U(I,2)).^2 ... +% ); +% +%E = ... +% sum( ... +% U(J,1).^2 + ... +% 2.*XI.*U(J,1).*U(K,1) - 2.*XI.*U(J,1).^2 + 2.*YI.*U(J,1).*U(K,2) - 2.*YI.*U(J,1).*U(J,2) - 2.*U(J,1).*U(I,1) + ... +% XI.^2.*U(K,1).^2 + ... +% -2.*XI.^2.*U(J,1).*U(K,1) + 2.*XI.*YI.*U(K,1).*U(K,2) - 2.*XI.*YI.*U(K,1).*U(J,2) - 2.*XI.*U(K,1).*U(I,1) + ... +% XI.^2.*U(J,1).^2 + ... +% -2.*XI.*U(J,1).*YI.* U(K,2) + 2.*XI.*U(J,1).*YI.*U(J,2) + 2.*XI.*U(J,1).*U(I,1) + ... +% (YI.* U(K,2) - YI.*U(J,2) - U(I,1)).^2 + ... +% (U(J,2) + XI.* U(K,2) - XI.*U(J,2) - YI.* U(K,1) + YI.*U(J,1) - U(I,2)).^2 ... +% ); +% +%E = ... +% sum( ... +% U(J,1).^2 + ... +% 2.*XI.*U(J,1).*U(K,1) - 2.*XI.*U(J,1).^2 + 2.*YI.*U(J,1).*U(K,2) - 2.*YI.*U(J,1).*U(J,2) - 2.*U(J,1).*U(I,1) + ... +% XI.^2.*U(K,1).^2 + ... +% -2.*XI.^2.*U(J,1).*U(K,1) + 2.*XI.*YI.*U(K,1).*U(K,2) - 2.*XI.*YI.*U(K,1).*U(J,2) - 2.*XI.*U(K,1).*U(I,1) + ... +% XI.^2.*U(J,1).^2 + ... +% -2.*XI.*U(J,1).*YI.* U(K,2) + 2.*XI.*U(J,1).*YI.*U(J,2) + 2.*XI.*U(J,1).*U(I,1) + ... +% YI.^2.*U(K,2).^2 + ... +% - 2.*YI.^2.*U(J,2).*U(K,2) - 2.*YI.*U(I,1).*U(K,2) + ... +% (- YI.*U(J,2) - U(I,1)).^2 + ... +% (U(J,2) + XI.* U(K,2) - XI.*U(J,2) - YI.* U(K,1) + YI.*U(J,1) - U(I,2)).^2 ... +% ); +% +%E = ... +% sum( ... +% U(J,1).^2 + ... +% 2.*XI.*U(J,1).*U(K,1) - 2.*XI.*U(J,1).^2 + 2.*YI.*U(J,1).*U(K,2) - 2.*YI.*U(J,1).*U(J,2) - 2.*U(J,1).*U(I,1) + ... +% XI.^2.*U(K,1).^2 + ... +% -2.*XI.^2.*U(J,1).*U(K,1) + 2.*XI.*YI.*U(K,1).*U(K,2) - 2.*XI.*YI.*U(K,1).*U(J,2) - 2.*XI.*U(K,1).*U(I,1) + ... +% XI.^2.*U(J,1).^2 + ... +% -2.*XI.*U(J,1).*YI.* U(K,2) + 2.*XI.*U(J,1).*YI.*U(J,2) + 2.*XI.*U(J,1).*U(I,1) + ... +% YI.^2.*U(K,2).^2 + ... +% - 2.*YI.^2.*U(J,2).*U(K,2) - 2.*YI.*U(I,1).*U(K,2) + ... +% YI.^2.*U(J,2).^2 + ... +% + 2.*YI.*U(I,1).*U(J,2) + ... +% U(I,1).^2+... +% (U(J,2) + XI.* U(K,2) - XI.*U(J,2) - YI.* U(K,1) + YI.*U(J,1) - U(I,2)).^2 ... +% ); +% +%E = ... +% sum( ... +% U(J,1).^2 + ... +% - 2.*XI.*U(J,1).^2 + ... +% XI.^2.*U(J,1).^2 + ... +% YI.^2.*U(J,1).^2 + ... +% ... +% U(J,2).^2 + ... +% YI.^2.*U(J,2).^2 + ... +% - 2.*XI.*U(J,2).^2 + ... +% XI.^2.*U(J,2).^2 + ... +% ... +% - 2.*YI.*U(J,1).*U(J,2) +... +% 2.*XI.*YI.*U(J,1).*U(J,2) + ... +% 2.*YI.*U(J,1).*U(J,2) + ... +% - 2.*XI.*YI.*U(J,1).*U(J,2) + ... +% ... +% 2.*XI.*U(J,1).*U(K,1) + ... +% -2.*XI.^2.*U(J,1).*U(K,1) + ... +% - 2.*YI.^2.*U(J,1).*U(K,1) + ... +% ... +% 2.*YI.*U(J,1).*U(K,2) + ... +% -2.*XI.*YI.*U(J,1).* U(K,2) + ... +% 2.*XI.*YI.*U(J,1).*U(K,2) + ... +% ... +% - 2.*XI.*YI.*U(J,2).*U(K,1) + ... +% - 2.*YI.*U(J,2).*U(K,1) + ... +% 2.*XI.*U(J,2).*YI.* U(K,1) + ... +% ... +% - 2.*YI.^2.*U(J,2).*U(K,2) + ... +% 2.*XI.*U(J,2).*U(K,2) + ... +% -2.*XI.^2.*U(J,2).*U(K,2) + ... +% ... +% - 2.*U(I,1).*U(J,1) + ... +% 2.*XI.*U(I,1).*U(J,1) + ... +% - 2.*YI.*U(I,2).*U(J,1) + ... +% ... +% 2.*YI.*U(I,1).*U(J,2) + ... +% ... +% - 2.*U(I,2).*U(J,2) + ... +% 2.*XI.*U(I,2).*U(J,2) + ... +% ... +% XI.^2.*U(K,1).^2 + ... +% YI.^2.*U(K,1).^2 + ... +% ... +% YI.^2.*U(K,2).^2 + ... +% XI.^2.*U(K,2).^2 + ... +% ... +% U(I,1).^2+... +% ... +% U(I,2).^2 + ... +% ... +% 2.*XI.*YI.*U(K,1).*U(K,2) + ... +% - 2.*XI.*YI.*U(K,1).*U(K,2) + ... +% ... +% - 2.*XI.*U(I,1).*U(K,1) + ... +% ... +% - 2.*YI.*U(I,1).*U(K,2) + ... +% ... +% 2.*YI.*U(I,2).*U(K,1) + ... +% ... +% - 2.*XI.*U(I,2).*U(K,2) + ... +% 0 ... +% ); +% +% +%E = ... +% sum( ... +% (1-2*XI+XI.^2+YI.^2).*U(J,1).^2 + ... +% ... +% (1-2*XI+XI.^2+YI.^2).*U(J,2).^2 + ... +% ... +% (2*XI-2*XI.^2-2*YI.^2).*U(J,1).*U(K,1) + ... +% ... +% (2.*YI).*U(J,1).*U(K,2) + ... +% ... +% (-2*YI).*U(J,2).*U(K,1) + ... +% ... +% (2*XI-2*XI.^2-2*YI.^2).*U(J,2).*U(K,2) + ... +% ... +% (-2+2*XI).*U(I,1).*U(J,1) + ... +% ... +% (2.*YI).*U(I,1).*U(J,2) + ... +% ... +% (-2*YI).*U(I,2).*U(J,1) + ... +% ... +% (-2+2*XI).*U(I,2).*U(J,2) + ... +% ... +% (XI.^2+YI.^2).*U(K,1).^2 + ... +% ... +% (XI.^2+YI.^2).*U(K,2).^2 + ... +% ... +% (1).*U(I,1).^2+... +% ... +% (1).*U(I,2).^2 + ... +% ... +% (-2*XI).*U(I,1).*U(K,1) + ... +% ... +% (-2*YI).*U(I,1).*U(K,2) + ... +% ... +% (2*YI).*U(I,2).*U(K,1) + ... +% ... +% (-2*XI).*U(I,2).*U(K,2) + ... +% 0 ... +% ); +% +%E = ... +% sum( ... +% (1-2*XI+XI.^2+YI.^2).*U(J,1).^2 + ... +% ... +% (1-2*XI+XI.^2+YI.^2).*U(J,2).^2 + ... +% ... +% 2*(XI-XI.^2-YI.^2).*U(J,1).*U(K,1) + ... +% ... +% 2*(YI).*U(J,1).*U(K,2) + ... +% ... +% 2*(-YI).*U(J,2).*U(K,1) + ... +% ... +% (2*XI-2*XI.^2-2*YI.^2).*U(J,2).*U(K,2) + ... +% ... +% 2*(-1+XI).*U(I,1).*U(J,1) + ... +% ... +% 2*(YI).*U(I,1).*U(J,2) + ... +% ... +% 2*(-YI).*U(I,2).*U(J,1) + ... +% ... +% 2*(-1+XI).*U(I,2).*U(J,2) + ... +% ... +% (XI.^2+YI.^2).*U(K,1).^2 + ... +% ... +% (XI.^2+YI.^2).*U(K,2).^2 + ... +% ... +% (1).*U(I,1).^2+... +% ... +% (1).*U(I,2).^2 + ... +% ... +% 2*(-XI).*U(I,1).*U(K,1) + ... +% ... +% 2*(-YI).*U(I,1).*U(K,2) + ... +% ... +% 2*(YI).*U(I,2).*U(K,1) + ... +% ... +% 2*(-XI).*U(I,2).*U(K,2) + ... +% 0 ... +% ); diff --git a/matlab/external/gptoolbox/mesh/texture_coords.m b/matlab/external/gptoolbox/mesh/texture_coords.m new file mode 100644 index 0000000..ccf18b6 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/texture_coords.m @@ -0,0 +1,27 @@ +function [TC] = texture_coords(V,flip_y) + % TEXTURE_COORDS normalize mesh x and y coordinates for use as texture + % coordinates + % + % [TC] = texture_coords(V,flip_y) + % + % Inputs: + % V #V by 2 list of mesh vertex positions + % flip_y boolean whether to flip texture coordinates, {true} + % Outputs + % TC #V by 2 list of mesh texture coordinates, between 0 and 1 + % + % normalize texture coordinates to be between zero and 1 + % + + TC = [ ... + (V(:,1)-min(V(:,1)))/(max(V(:,1))-min(V(:,1))) ... + (V(:,2)-min(V(:,2)))/(max(V(:,2))-min(V(:,2)))]; + + if ~exist('flip_y','var') + flip_y = true; + end + + if flip_y + TC(:,2) = 1-TC(:,2); + end +end diff --git a/matlab/external/gptoolbox/mesh/total_signed_curvature.m b/matlab/external/gptoolbox/mesh/total_signed_curvature.m new file mode 100644 index 0000000..ce325a4 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/total_signed_curvature.m @@ -0,0 +1,26 @@ +function [tsc,alpha,V] = total_signed_curvature(P) + % TOTAL_SIGNED_CURVATURE Total discrete signed curvature of a given closed + % planar curve P (see http://ddg.cs.columbia.edu/SIGGRAPH05/Didactic.pdf) + % + % [tsc,alpha] = total_signed_curvature(P) + % + % Inputs: + % P #P by 2 a list of positions of a closed piecewise-linear curve + % Outputs: + % tsc total signed curvature scalar, should be 2*pi*k where k∈0,1,2,... + % alpha #P by 1 list of exterior angles + % + % + + % edge vectors + V = P([2:end 1],:)-P; + + % Exterior angles between consecutive edge vectors + alpha = atan2( ... + V(1:end,1).*V([2:end 1],2) - V(1:end,2).*V([2:end 1],1), ... + V(1:end,1).*V([2:end 1],1) + V(1:end,2).*V([2:end 1],2) ); + + % total signed curvature + tsc = sum(alpha); + +end diff --git a/matlab/external/gptoolbox/mesh/tri2tet.m b/matlab/external/gptoolbox/mesh/tri2tet.m new file mode 100644 index 0000000..ea28eeb --- /dev/null +++ b/matlab/external/gptoolbox/mesh/tri2tet.m @@ -0,0 +1,37 @@ +function tri2tet(input_name,output_name,skeleton_name,samples_per_edge) + % TRI2TET Script to make 3d tet mesh from 2d triangle mesh with optional + % constraint to place tet vertices at skeleton vertices and samples along + % skeleton bones. + % + % tri2tet(input_name,output_name,skeleton_name,samples_per_edge) + % + % Input: + % input_name name of file contaning input vertices and faces of surface, + % should end in .off or .obj + % output_name name of output file to be written with 3D tet mesh, should + % end in .mesh + % skeleton_name optional name of .tgf containing skeleton vertices and + % edges + % samples_per_edge optional sampling of "bones", edges of skeleton stored + % in skeleton_name + % + + % read input mesh + [V,F] = load_mesh(input_name); + + IV = []; + % read skeleton vertices if file given + if(exist('skeleton_name','var')) + [IV,E] = readTGF(skeleton_name); + if(exist('samples_per_edge','var')) + IV = sample_edges(IV,E,samples_per_edge); + end + end + + % use tetgen to mesh interior with tetrahedra + %[V,T,F] = tetgen(V,F,IV); + [V,T,F] = tetgen([V;IV],F); + % write tet mesh to file + writeMESH(output_name,V,T,F); + +end diff --git a/matlab/external/gptoolbox/mesh/tri2tgf.m b/matlab/external/gptoolbox/mesh/tri2tgf.m new file mode 100644 index 0000000..a548bbf --- /dev/null +++ b/matlab/external/gptoolbox/mesh/tri2tgf.m @@ -0,0 +1,23 @@ +function tri2tgf(input_name,output_name) + % TRI2TGF Script to convert a triangle mesh to a tgf graph (skeleton file) + % + % tri2tgf(input_name,output_name) + % + % Inputs: + % input_name name of file contaning input vertices and faces of surface, + % should end in .off or .obj + % output_name name of output file to be written with 3D tet mesh, should + % end in .mesh + + % read input mesh + [V,F] = load_mesh(input_name); + % Find all edges in mesh, note internal edges are repeated + E = sort( ... + [F(:,1) (:,2); ... + F(:,2) (:,3); ... + F(:,3) (:,1)]')'; + % remove duplicates + E = unique(E,'rows'); + writeTGF(output_name,V,E); + +end diff --git a/matlab/external/gptoolbox/mesh/triangle_strip.m b/matlab/external/gptoolbox/mesh/triangle_strip.m new file mode 100644 index 0000000..d88a7e5 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/triangle_strip.m @@ -0,0 +1,16 @@ +function [V,F] = strip(P,E) + % STRIP build a strip of triangles given a curve + % + % [V,F] = strip(P,E) + % + % Inputs: + % P #points by 2 list of 2d points + % E #edges by 2 list of edge indices into P + % Outputs: + % V #points*2 by 3 list of 3d points + % F #edges*2 by 3 list of triangle indices + % + n = size(P,1); + V = [P -ones(n,1);P ones(n,1)]; + F = [E n+E(:,1);n+fliplr(E) E(:,2)]; +end diff --git a/matlab/external/gptoolbox/mesh/triangles_from_strip.m b/matlab/external/gptoolbox/mesh/triangles_from_strip.m new file mode 100644 index 0000000..412a088 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/triangles_from_strip.m @@ -0,0 +1,27 @@ +function F = triangles_from_strip(S) + % TRIANGLES_FROM_STRIP Create a list of triangles from a stream of indices + % along a strip. + % + % Inputs: + % S #S list of indices + % Outputs: + % F #S-2 by 3 list of triangle indices + % + + %F = zeros(numel(S)-2,3); + %for s = 3:numel(S) + % if mod(s,2) == 0 + % F(s-2,:) = fliplr([S(s-2) S(s-1) S(s)]); + % else + % F(s-2,:) = [S(s-2) S(s-1) S(s)]; + % end + %end + + S = S(:); + % Maintain order and orientations + F = [ ... + S(1:2:end-2) S(2:2:end-1) S(3:2:end) ... + S(3:2:end-1) S(2:2:end-2) S(4:2:end)]; + F = reshape(F',3,numel(S)-2)'; + +end diff --git a/matlab/external/gptoolbox/mesh/triangulate_curves.m b/matlab/external/gptoolbox/mesh/triangulate_curves.m new file mode 100644 index 0000000..4b885d0 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/triangulate_curves.m @@ -0,0 +1,265 @@ +function [V,F,b,bc] = triangulate_curves(P,varargin) + % TRIANGULATE_CURVES Construct a (properly slitted) mesh for a given set of curves and + % determine corresponding boundary conditions for solving diffusion curves. + % + % [V,F,b,bc] = triangulate_curves(P,varargin) + % + % Inputs: + % #curve by 1 list of lists of curve points + % Optional: + % 'BoundingBox' followed by whether to include bounding box (otherwise + % there better be an outer loop. + % + % Example: + % clf; + % % get curve (user draws) + % Praw = {}; + % while true + % [Prawc,p] = get_pencil_curve(); + % if size(Prawc,1) == 1 || sum((max(Prawc)-min(Prawc)).^2,2)<1e-5 + % fprintf('continuing\n'); + % break; + % end + % Praw{end+1} = Prawc; + % %% remove plot + % %delete(p); + % end + % % Simplify + % P = cell(numel(Praw),1); + % for c = 1:numel(Praw) + % P{c} = dpsimplify(Praw{c},0.001); + % end + % [V,F,b,bc] = triangulate_curves(P); + % W = harmonic(V,F,b,bc); + % colors = random_color(4*numel(P)); + % RGB = W * colors; + % tsurf(F,[V W(:,4)],'FaceVertexCData',clamp(RGB),fphong,'EdgeColor','none');axis equal;view(2) + % + + % default values + use_bounding_box = true; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'BoundingBox'}, ... + {'use_bounding_box'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + E = []; + % list of all points + PP = []; + % list of curve sizes to determine from boundary markers which curve edge came + % from + curve_pos_ind = 0; + for c = 1:numel(P) + if isstruct(P{c}) + Pc = P{c}.P; + Ec = P{c}.E; + else + Pc = P{c}; + Ec = [1:size(Pc,1)-1;2:size(Pc,1)]'; + end + % inefficient appending + curve_pos_ind = [curve_pos_ind curve_pos_ind(end)+size(Ec,1)]; + E = [E;size(PP,1)+Ec]; + PP = [PP;Pc]; + end + l = normrow(PP(E(:,1),:)-PP(E(:,2),:)); + + Facets = []; + Facets.facets = mat2cell(E,ones(size(E,1),1),2); + Facets.boundary_marker = (1:size(E,1))'+1; + + % need unique set of points + assert(size(PP,1) == size(unique(PP,'rows'),1)); + max_area = min(l)^2; + for pass = 1:2 + prefix = tempprefix(); + if use_bounding_box + BB = bounding_box(PP); + BB = bsxfun(@plus,1.1*bsxfun(@minus,BB,mean(BB)),mean(BB)); + bb_flag = 'c'; + else + BB = []; + bb_flag = ''; + end + writePOLY_triangle([prefix '.poly'],[PP;BB],Facets,[]); + % Careful, triangle does not understand scientific notation + flags = sprintf('-q33pa%0.17f%s',max_area,bb_flag); + %flags = '-cp'; + command = [path_to_triangle ' ' flags ' ' prefix]; + [status, result] = system( command ); + if(status ~= 0) + error(result); + end + [V,I] = readNODE([prefix '.1.node']); + F = readELE([prefix '.1.ele']); + max_area = mean(doublearea(V,F))*2; + end + [~,BE,BM] = readPOLY_triangle([prefix '.1.poly']); + BE = BE(BM>1,:); + BM = BM(BM>1,:)-1; + % Re-orient edges to follow original curve + BEdotE = sum((V(BE(:,1),:)-V(BE(:,2),:)).*(PP(E(BM,1),:)-PP(E(BM,2),:)),2); + BE(BEdotE<=0,:) = fliplr(BE(BEdotE<=0,:)); + uBE = unique(sort(BE,2),'rows'); + + % boundary conditions (to be thinned) + % #V by #curves * 2 (left/right) * 2 (source-to-dest/dest-to-source) + bc = sparse(size(V,1),(numel(curve_pos_ind)-1)*2*2); + + paths = []; + for c = 1:numel(P) + % Boundary edges of this curve + BEp = BE(BM>curve_pos_ind(c) & BM<=curve_pos_ind(c+1),:); + BMp = BM(BM>curve_pos_ind(c) & BM<=curve_pos_ind(c+1)); + % Assumes E and thus BM are in order + % source of curve + sc = E(curve_pos_ind(c)+1,1); + path = [sc]; + % loop over original curve + for e = (curve_pos_ind(c)+1):curve_pos_ind(c+1) + % dest of last original edge is source of next + se = path(end); + assert(se == E(e,1)); + de = E(e,2); + BEe = BEp(BMp==e,:); + A = adjacency_matrix(BEe); + [~,pathe] = graphshortestpath(A,se,de); + path = [path pathe(2:end)]; + end + % Arc length parameterization of path + path_edge_lens = sqrt(sum((V(path(2:end),:)-V(path(1:end-1),:)).^2,2)); + path_t = [0;cumsum(path_edge_lens)./sum(path_edge_lens)]; + + bc(path,(c-1)*2*2+([1 3])) = [path_t path_t]; + bc(path,(c-1)*2*2+([2 4])) = 1-[path_t path_t]; + % inefficient append + paths = [paths path]; + end + + % remove intersection points + [upaths,~,IC] = unique(paths); + counts = histc(paths,upaths); + bc(upaths(counts>1),:) = 0; + + % disconnected mesh with each corner as distinct vertex + W = V(F(:),:); + m = size(F,1); + G = bsxfun(@plus,[0 m 2*m],[1:m]'); + % remap boundary conditions to new disconnected mesh + bc = bc(F(:),:); + + % boundary + left = reshape( ... + ismember([F(:,[2 3]);F(:,[3 1]);F(:,[1 2])],BE,'rows'),m,3); + right = reshape( ... + ismember([F(:,[2 3]);F(:,[3 1]);F(:,[1 2])],fliplr(BE),'rows'),m,3); + [touch,touchloc] = ismember(F,BE(:)); + touch = reshape(touch,m,3); + % definitely left or right + b_left = G( left(:,[2 3 1])| left(:,[3 1 2])); + b_right = G(right(:,[2 3 1])|right(:,[3 1 2])); + b_left = b_left(:); + b_right = b_right(:); + + + %Z = repmat(1:size(G,1),1,3)'; + %tsurf(G,[W Z],'FaceColor','g'); + %hold on;plot(P(:,1),P(:,2),'-o','LineWidth',4); hold off; + %hold on;plot_edges(V,BE,'--r','LineWidth',4); hold off; + %hold on; plot3(W(b_right,1),W(b_right,2),Z(b_right,1),'or','LineWidth',4);hold off + %hold on; plot3(W(b_left,1),W(b_left,2),Z(b_left,1),'ob','Linewidth',2);hold off + %error + + + % vertex to face incidence + %V2F = sparse( ... + % F(:), ... + % repmat(1:size(F,1),1,3)', ... + % [ones(size(F,1),1); 2*ones(size(F,1),1); 3*ones(size(F,1),1)], ... + % size(V,1),size(F,1)); + % Finding on the transpose is faster + V2FT = sparse( ... + repmat(1:size(F,1),1,3)', ... + F(:), ... + [ones(size(F,1),1); 2*ones(size(F,1),1); 3*ones(size(F,1),1)], ... + size(F,1), ... + size(V,1)); + + %J = 1:size(W,1); + W2V = sparse((1:size(F,1)*3)',F(:),1,size(W,1),size(V,1)); + % http://stackoverflow.com/a/15719703/148668 + [~,first] = max((W2V*W2V')~=0,[],2); + assert(numel(first)==size(W,1)); + assert(all(first)); + % default is to map to first occurrence + J = first; + + VB = unique(BE)'; + % loop over original vertices on curves + for v = VB + % Faces incident on v and index of corner in face + %[~,IFv,CFv] = find(V2F(v,:)); + [IFv,~,CFv] = find(V2FT(:,v)); + Fv = F(IFv,:); + [~,uE2Fv,uE] = edge_adjacency_matrix(Fv); + isBE = ismember(uE,uBE,'rows'); + A = uE2Fv(~isBE,:)' * uE2Fv(~isBE,:); + [~,C] = conncomp(A); + % loop over components + for c = 1:max(C) + min_fv = find(C==c,1); + % first index in w for this component + min_w = G(IFv(min_fv),CFv(min_fv)); + % map all intances in this component to first + J(G(sub2ind(size(G),IFv(C==c),CFv(C==c)))) = min_w; + end + end + + % remap all at once + G = J(G); + + b_left = unique(J(b_left)'); + b_right = unique(J(b_right)'); + [W,I] = remove_unreferenced(W,G); + % Remap boundary conditions + bc(I,:) = bc; + % Only keep referenced + bc = bc(1:size(W,1),:); + % Remap faces + G = I(G); + % remap left/right + b_left = I(b_left); + b_right = I(b_right); + + % Let shared vertices---internal curve endpoints---"float" + % But really this should be left up to implementation + b_shared = intersect(b_left,b_right); + b_left = setdiff(b_left,b_shared); + b_right = setdiff(b_right,b_shared); + % zap left, right and shared accordingly + bc(b_right,[1:4:end 2:4:end]) = 0; + bc(b_left,[3:4:end 4:4:end]) = 0; + bc(b_shared,:) = 0; + + has_b = any(bc,2); + b = find(has_b); + bc = bc(b,:); + + % rename + V = W; + F = G; + +end diff --git a/matlab/external/gptoolbox/mesh/triangulate_poly_pyramid.m b/matlab/external/gptoolbox/mesh/triangulate_poly_pyramid.m new file mode 100644 index 0000000..7c6693b --- /dev/null +++ b/matlab/external/gptoolbox/mesh/triangulate_poly_pyramid.m @@ -0,0 +1,81 @@ +function [FF] = triangulate_poly_pyramid(V,E,F) + % TRIANGULATE_POLY_PYRAMID Triangulate a PLC described by (E,F) as output by + % the SVR or Pyramid program + % + % [FF] = triangulate_poly_pyramid(E,F) + % + % Inputs: + % V #V by dim list of vertex positions + % E #E by 2list of segment indices, indexing V + % F #F struct containing polygon information arrays + % .facets a #facets list of facets, each facet is a polygon + % **NOTE: facets index E *not* V, contrary to typical (V,F) meshes and + % contrary to writePOLY_tetgen prototype + % OR + % F #F by constant-degree list of facets + % Outputs: + % FF #FF by 3 list of triangulated facets indexing V + % + + + FF = []; + if isstruct(F) + for f = 1:numel(F.facets) + %FV = outline_loop(E(F.facets{f},:),'Unoriented',true); + %% Be sure we have a row vector + %FV = FV(:)'; + + % FACETS AREN"T IN ORDER THIS WON"T WORK + FV = zeros(numel(F.facets{f}),1); + FV = E(F.facets{f}(1),:); + for e = 2:numel(F.facets{f})-1 + if FV(e) == E(F.facets{f}(e),1) + FV(e+1) = E(F.facets{f}(e),2); + elseif FV(e) == E(F.facets{f}(e),2) + FV(e+1) = E(F.facets{f}(e),1); + elseif e == 2 + % Shit, we might have gotten the order of the first edge wrong + FV = fliplr(FV); + if FV(e) == E(F.facets{f}(e),1) + FV(e+1) = E(F.facets{f}(e),2); + elseif FV(e) == E(F.facets{f}(e),2) + FV(e+1) = E(F.facets{f}(e),1); + else + assert(false) + end + else + assert(false); + end + end + e = numel(F.facets{f}); + assert( (FV(e) == E(F.facets{f}(e),1)) || FV(e) == E(F.facets{f}(e),2)); + + [I,IA,FVF] = unique(FV); + %[I,IA,EVF] = unique(E(F.facets{f},:)); + %EVF = reshape(EVF,size(E(F.facets{f},:))); + VF = V(I,:); + [C,S] = princomp(VF); + % Should be 2D + assert(max(abs(S(:,3)))<1e-6); + TS = delaunay(S(:,1),S(:,2)); + BC = barycenter(S(:,1:2),TS); + %O = EVF; + O = [FVF(1:end);FVF([2:end 1])]'; + w = abs(winding_number(S(:,1:2),O,BC)/(2*pi)); + + %set(tsurf(TS,[S(:,1:2)],1),'CData',w); + %colorbar + %hold on; + %plot([S(O(:,1),1) S(O(:,2),1)]',[S(O(:,1),2) S(O(:,2),2)]','-ok','LineWidth',4) + %hold off; + %axis equal; + %input(''); + + TS = TS(w>0.5,:); + FF = [FF;I(TS)]; + end + else + error + end + +end diff --git a/matlab/external/gptoolbox/mesh/tricontour.m b/matlab/external/gptoolbox/mesh/tricontour.m new file mode 100644 index 0000000..1392f64 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/tricontour.m @@ -0,0 +1,30 @@ +function tricontour(V,F,w,speedup) + % TRICONTOUR Plot a filled contour defined on top of a triangle mesh returns + % function handle + % + % tricontour(V,F,w,speedup) + % + % + % Inputs: + % V list of vertex positions + % F list of face indices + % w scalar values defined on V + % speedup optional speed up by not eliminating vertices outside shape {false} + + if(~exist('speedup','var')) + speedup = false; + end + [Xr,Yr,Wr] = triinterp(V,F,w,speedup); + contourf(Xr,Yr,Wr) + + % Find all edges in mesh, note internal edges are repeated + E = sort([F(:,1) F(:,2); F(:,2) F(:,3); F(:,3) F(:,1)]')'; + % determine uniqueness of edges + [u,m,n] = unique(E,'rows'); + % determine counts for each unique edge + counts = accumarray(n(:), 1); + % extract edges that only occurred once + O = u(counts==1); + + line(V([O(:);O(1)],1),V([O(:);O(1)],2),'Color','k','LineWidth',6) +end diff --git a/matlab/external/gptoolbox/mesh/triinterp.m b/matlab/external/gptoolbox/mesh/triinterp.m new file mode 100644 index 0000000..664d7f2 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/triinterp.m @@ -0,0 +1,35 @@ +function [Xr,Yr,Wr] = triinterp(V,F,w,speedup) + % TRIINTERP Given a scalar field S defined over a triangle mesh with vertices + % V and faces F, linearly interpolate the data for new positions U. NaNs are + % returned if position in U is not in or on a mesh triangle + % + % [Xr,Yr,Wr] = triinterp(V,F,w,speedup) + % + % Inputs: + % V vertex position #V x 3 or #V x 2 + % F list of faces #F x 3 + % w scalar field defined over V, #V x 1 + % speedup optional speed up by not eliminating vertices outside shape {false} + % + % Outputs: + % Xr x values for griddata + % Yr y values for griddata + % Wr scalar values for griddata + % + + [Xr,Yr,Wr] = griddata(V(:,1),V(:,2),w,unique(V(:,1)),unique(V(:,2))'); + if(~exist('speedup','var') || ~speedup) + % Find all edges in mesh, note internal edges are repeated + E = sort([F(:,1) F(:,2); F(:,2) F(:,3); F(:,3) F(:,1)]')'; + % determine uniqueness of edges + [u,m,n] = unique(E,'rows'); + % determine counts for each unique edge + counts = accumarray(n(:), 1); + % extract edges that only occurred once + O = u(counts==1); + % this is very slow + IN = inpolygon(Xr,Yr,V(O,1),V(O,2)); + % don't draw points outside the mesh + Wr(~IN) = NaN; + end +end diff --git a/matlab/external/gptoolbox/mesh/tsurf.m b/matlab/external/gptoolbox/mesh/tsurf.m new file mode 100644 index 0000000..ef365f4 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/tsurf.m @@ -0,0 +1,174 @@ +function t = tsurf(F,V,varargin) + % TSURF trisurf wrapper, easily plot triangle meshes with(out) face or vertex + % indices. Attaches callbacks so that click-and-holding on the mesh and then + % pressing 'm' launches meshplot (if available) + % + % t = tsurf(F,V); + % t = tsurf(F,V,'ParameterName',ParameterValue, ...) + % + % Inputs: + % F list of faces #F x 3 + % V vertex positiosn #V x 3 or #V x 2 + % Optional: + % 'VertexIndices' followed by + % 'FaceIndices' followed by + % 0 -> off + % 1 -> text and grey background + % >1 -> text + %% 'ColorMultiplier' followed by #CData list of color multiplier values. + % ... additional options passed on to trisurf + % Outputs: + % t handle to trisurf object + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % Example: + % % Compose with set function to set trisurf parameters to achieve + % % sharp isointervals + % tsurf(F,V, ... + % 'FaceColor','interp', ... + % 'FaceLighting','phong', ... + % 'EdgeColor',[0.2 0.2 0.2]); + % colormap(flag(8)) + % + % See also: trisurf + % + + + vertex_indices = 0; + face_indices = 0; + + v = 1; + while v<=numel(varargin) && ischar(varargin{v}) + switch varargin{v} + case 'VertexIndices' + v = v+1; + assert(v<=numel(varargin)); + vertex_indices = varargin{v}; + case 'FaceIndices' + v = v+1; + assert(v<=numel(varargin)); + face_indices = varargin{v}; + otherwise + break; + end + v = v+1; + end + + % number of vertices + n = size(V,1); + + % nuymber of dimensions + dim = size(V,2); + + if(dim==2 || (dim ==3 && sum(abs(V(:,3))) == 0)) + V = [V(:,1) V(:,2) 0*V(:,1)]; + dim = 2; + elseif(dim>3 || dim<2 ) + error('V must be #V x 3 or #V x 2'); + return; + end + + tets = size(F,2) ==4 && (size(F,1)*4 > 1.01*size(boundary_faces(F),1)); + + if tets + t_copy = tetramesh(F,V,'FaceAlpha',0.5); + FC = (V(F(:,1),:)+V(F(:,2),:)+V(F(:,3),:)+V(F(:,4),:))./3; + if(face_indices==1) + text(FC(:,1),FC(:,2),FC(:,3),num2str((1:size(F,1))'),'BackgroundColor',[.7 .7 .7]); + elseif(face_indices) + text(FC(:,1),FC(:,2),FC(:,3),num2str((1:size(F,1))')); + end + set(gcf,'Renderer','OpenGL'); + else + t_copy = trisurf(F,V(:,1),V(:,2),V(:,3)); + FC = barycenter(V,F); + if(face_indices==1) + text(FC(:,1),FC(:,2),FC(:,3),num2str((1:size(F,1))'),'BackgroundColor',[.7 .7 .7]); + elseif(face_indices) + text(FC(:,1),FC(:,2),FC(:,3),num2str((1:size(F,1))')); + end + end + + % if 2d then set to view (x,y) plane + if( dim == 2) + view(2); + end + + if vertex_indices + visible = reshape(unique(F),[],1); + if(vertex_indices==1) + text(V(visible,1),V(visible,2),V(visible,3),num2str(visible),'BackgroundColor',[.8 .8 .8]); + elseif(vertex_indices) + text(V(visible,1),V(visible,2),V(visible,3),num2str(visible)); + end + end + % uncomment these to switch to a better 3d surface viewing mode + %axis equal; axis vis3d; + %axis(reshape([min(V(:,1:dim));max(V(:,1:dim))],1,dim*2)); + if ... + strcmp(get(gca,'XLimMode'),'auto') && ... + strcmp(get(gca,'YLimMode'),'auto') && ... + strcmp(get(gca,'ZLimMode'),'auto') + axis tight; + end + + if v<=numel(varargin) + set(t_copy,varargin{v:end}); + end + + % Only output if called with output variable, prevents ans = ... output on + % terminal + if nargout>=1 + t = t_copy; + end + + % subversively set up the callbacks so that if the user clicks and holds on + % the mesh then hits m, meshplot will open with this mesh + set(t_copy,'buttondownfcn',@ondown); + + + function ondown(src,ev) + if exist('point_mesh_squared_distance','file')==3 + [~,ci,C] = point_mesh_squared_distance(ev.IntersectionPoint,V,F); + warning off; + B = barycentric_coordinates(C,V(F(ci,1),:),V(F(ci,2),:),V(F(ci,3),:)); + warning on; + on_vertex = sum(B<0.15)==2; + color = [.7 .5 .5]; + C = FC(ci,:); + if on_vertex + ci = F(ci,max(B)==B); + color = [.5 .5 .7]; + C = V(ci,:); + end + text_h = text(C(:,1),C(:,2),C(:,3),num2str(ci),'BackgroundColor',color); + end + set(gcf,'windowbuttonupfcn',@onup); + set(gcf,'keypressfcn',@onkeypress); + + function onkeypress(src,ev) + switch ev.Character + case 'm' + V3 = t_copy.Vertices; + if size(V3,2) == 2 + V3(:,3) = 0*V(:,1); + end + fprintf('Opening mesh in meshplot...\n'); + meshplot(V3,t_copy.Faces); + otherwise + warning(['Unknown key: ' ev.Character]); + end + end + + function onup(src,ev) + if exist('text_h','var') && ishandle(text_h) + delete(text_h); + end + set(gcf,'windowbuttonupfcn',''); + set(gcf,'keypressfcn', ''); + set(gcf,'windowbuttonmotionfcn',''); + end + end + +end diff --git a/matlab/external/gptoolbox/mesh/tt.m b/matlab/external/gptoolbox/mesh/tt.m new file mode 100644 index 0000000..d9dc27c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/tt.m @@ -0,0 +1,69 @@ +function [Fp, Fi] = tt(F) + % TT Build a face adjacency data structure for a **manifold** triangle mesh. + % From each face we can find where on its neighboring faces it's incident. + % + % [Fp, Fi] = tt(F) + % + % Input: + % F list of face indices, #faces by 3 + % Output: + % Fp #faces by 3, where Fp(i,j) tells the index of the neighboring triangle + % to the jth edge of the ith triangle in F. -1 if the jth edge of the ith + % triangle in F is a border edge. (jth edge refers to the edge opposite + % the jth vertex: so triangle in a triangle (a,b,c), the 1st edge is + % b-->c, the 2nd is c-->b and the 3rd is a-->b + % Fi #faces by 3, where Fi(i,j) tells the position on the neighboring + % triangle to the jth edge of the ith triangle in F. -1 if the jth edge + % if the ith triangle in F is a border edge. Uses the same indexing of + % positions of edges on a triangle as above. + % + % For example: + % + % F = [ 1 3 2; + % 2 3 4]; + % [Fp, Fi] = tt(F); + % Fp = + % 2 -1 -1 + % -1 -1 1 + % Fi = + % 3 -1 -1 + % -1 -1 1 + % + + if size(F,2) == 3 + + % get list of edges (1st edges then 2nd edges then 3rd edges) + E = [F(:,2) F(:,3); F(:,3) F(:,1); F(:,1) F(:,2)]; + + % sparse adjacency matrix where (i,j) = k, k is the index of i-->j in edge + % list if i-->j AND j-->i exist in edge list. This way is slightly faster + % than building a proper adjacency list first. + Ei = sparse(E(:,1),E(:,2),1:size(E,1)); + % adjacency list of edges as if edges represent undirected graph + unadj = Ei>0; + % "non-adjacency" list, (i,j) > 0 iff i-->j exists but j-->i does not exist + nonadj = unadj-(unadj'); + adj = ((unadj + nonadj)==1).*Ei; + + % need to get mapping from sparse ordering to original order + [ii jj si] = find(adj); + % this is slightly faster than sorting the above by ii, which is the same + [ii jj v] = find(adj'); + % build map from edges to their corresponding faces + E2F = repmat(1:size(F,1),1,3)'; + % initialize adjacency map to -1 + Fp = -ones(size(E,1),1); + Fp(si) = E2F(v); + Fp = reshape(Fp,size(F)); + % build map from edges to edge positions + I = reshape(repmat((1:3),size(F,1),1),1,3*size(F,1))'; + % use corresponding edges to find positions of correponding faces + Fi = -ones(size(E,1),1); + Fi(si) = I(v); + Fi = reshape(Fi,size(F)); + else + error('Not supported yet...'); + end + +end + diff --git a/matlab/external/gptoolbox/mesh/udq2quattrans.m b/matlab/external/gptoolbox/mesh/udq2quattrans.m new file mode 100644 index 0000000..fd9254b --- /dev/null +++ b/matlab/external/gptoolbox/mesh/udq2quattrans.m @@ -0,0 +1,38 @@ +function [Q,T] = udq2quattrans(UDQ) + % UDQ2QUATTRANS + % + % [Q,T] = udq2quattrans(UDQ) + % + % Convert a dual quaternion to rotation stored as a quaternion and a translation + % + % Inputs: + % UDQ list of rigid transformations for each rotation stored as dual + % quaternions + % 2 by 4 #rotations + % Output: + % Q list of rotations stored as quaternions, one for each rotation + % #rotations by 4 (1,i,j,k) + % T list of translations stored as vectors, one for each rotation + % #rotations by 3 + % + + % Adapted from: http://isg.cs.tcd.ie/kavanl/dq/dqconv.c + % regular quaternion (just copy the non-dual part): + Q = UDQ(1,:,:)'; + % Translation vector + T(:,1) = 2*( ... + -UDQ(2,1,:).*UDQ(1,2,:) + ... + UDQ(2,2,:).*UDQ(1,1,:) - ... + UDQ(2,3,:).*UDQ(1,4,:) + ... + UDQ(2,4,:).*UDQ(1,3,:)); + T(:,2) = 2.0*( ... + -UDQ(2,1,:).*UDQ(1,3,:) + ... + UDQ(2,2,:).*UDQ(1,4,:) + ... + UDQ(2,3,:).*UDQ(1,1,:) - ... + UDQ(2,4,:).*UDQ(1,2,:); + T(:,3) = 2.0*( ... + -UDQ(2,1,:).*UDQ(1,4,:) - ... + UDQ(2,2,:).*UDQ(1,3,:) + ... + UDQ(2,3,:).*UDQ(1,2,:) + ... + UDQ(2,4,:).*UDQ(1,1,:); +end diff --git a/matlab/external/gptoolbox/mesh/uniformly_sample.m b/matlab/external/gptoolbox/mesh/uniformly_sample.m new file mode 100644 index 0000000..16e7d0c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/uniformly_sample.m @@ -0,0 +1,69 @@ +function NV = uniformly_sample(V,un,varargin) + % UNIFORMLY_SAMPLE Uniformly sample an input curve + % + % NV = uniformly_sample(V,un,'ParameterName',ParameterValue, ...) + % + % Inputs: + % V #V by dim list of ordered input points on an open curve + % un # of samples {100} + % Optional: + % 'Loop' followed by true or {false} + % NP = uniformly_sample(P,100,'Loop',true); + % % Equivalent to: + % NP = uniformly_sample(P([1:end 1],:),100); + % NP = NP(1:end-1,:); + % Outputs: + % NV un by dim list of ordered outputs points on an open curve + % + % + + loop = false; + v = 1; + while v<=numel(varargin) + switch varargin{v} + case 'Loop' + v = v+1; + assert(v<=numel(varargin)); + loop = varargin{v}; + otherwise + error('Unsupported parameter "%s"',varargin{v}); + end + v = v+1; + end + + if loop + V = V([1:end 1],:); + end + + + % Facets + l = sqrt(sum((V(1:end-1,:)-V(2:end,:)).^2,2)); + totl = sum(l); + + % number of samples + if nargin <2 + un = 100; + end + + NV = zeros(un,2); + v = 1; + lv = 0; + % TODO: There should be a vectorized way of doing this with cumsum + for ni = 1:un-1 + li = ((totl-0)/(un-1))*(ni-1); + while true + if v<=size(l,1) && (lv+l(v))<=li + lv = lv+l(v); + v = v+1; + else + break; + end + end + NV(ni,:) = V(v,:) + (li-lv)/l(v)*(V(mod(v,size(V,1))+1,:)-V(v,:)); + end + NV(un,:) = V(end,:); + + if loop + NV = NV(1:end-1,:); + end +end diff --git a/matlab/external/gptoolbox/mesh/uniformly_sample_edges.m b/matlab/external/gptoolbox/mesh/uniformly_sample_edges.m new file mode 100644 index 0000000..91ee3ab --- /dev/null +++ b/matlab/external/gptoolbox/mesh/uniformly_sample_edges.m @@ -0,0 +1,19 @@ +function S = uniformly_sample_edges(V,E,h) + % UNIFORMLY_SAMPLE_EDGES Sample edges of (V,E) with spacing close to h. + % + % Inputs: + % V #V by dim list of vertex locations + % E #E by 2 list of edges indices into V + % h desired distance between samples + % Outputs: + % S #S by dim list of sample locations + % + S = []; + for e = 1:size(E,1) + n = ceil(sqrt(sum((V(E(e,1),:)-V(E(e,2),:)).^2,2))/h)+1; + s = linspace(0,1,n)'; + S = [S; ... + bsxfun(@times,1-s,V(E(e,1),:))+bsxfun(@times, s,V(E(e,2),:))]; + end + S = unique(S,'rows'); +end diff --git a/matlab/external/gptoolbox/mesh/union2tet.m b/matlab/external/gptoolbox/mesh/union2tet.m new file mode 100644 index 0000000..238b5e0 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/union2tet.m @@ -0,0 +1,36 @@ +function union2tet(surface_name,cage_name,union_name,tet_name) + % UNION2TET Script to take 3 meshes, a surface, a partial cage that intersects the + % surface and their volume-union's surface (probably from Blender), and use + % tetgen to generate a tet mesh that has tets in the volume-union with faces + % of the original surface . + % + % union2tet(surface_name,cage_name,union_name,tet_name) + % + % Inputs: + % surface_name file containing original surface + % cage_name file containing (partial) cage + % union_name file containing union surface + % Output: + % tet_name file to be written with .mesh tet mesh + % + [SV,SF] = load_mesh(surface_name); + [CV,CF] = load_mesh(cage_name); + [UV,UF] = load_mesh(union_name); + % combine union and surface so we have a list of faces for the union and the + % original surface that look into the same vertex list + [V,F] = combine(SV,SF,UV,UF); + [T,V] = tetgen(V,F,setdiff(CV,V,'rows'),true); + writeMESH(tet_name,V,T,SF); + + skeleton_name = strrep([tet_name '.tgf'],'.mesh',''); + % Find all edges in mesh, note internal edges are repeated + CE = sort( ... + [CF(:,1) CF(:,2); ... + CF(:,2) CF(:,3); ... + CF(:,3) CF(:,1)]')'; + % remove duplicates + CE = unique(CE,'rows'); + writeTGF(skeleton_name,CV,CE); + + +end diff --git a/matlab/external/gptoolbox/mesh/untangle.m b/matlab/external/gptoolbox/mesh/untangle.m new file mode 100644 index 0000000..c69392b --- /dev/null +++ b/matlab/external/gptoolbox/mesh/untangle.m @@ -0,0 +1,178 @@ +function [VV,Uforward,Ubackward] = untangle(V,F,varargin) + % UNTANGLE Given a possible self-intersecting mesh (V,F) _untangle_ + % self-intersections by running a (conformalized) mean curvature flow + % (guaranteed to resolve self-intersections if converges for sphere topology + % surfaces) and then re-inflating with collision response. This is most + % similar to the method described in "Consistent Volumetric Discretizations + % Inside Self-Intersecting Surfaces" [Sacht et al. 2013], which itself is an + % expansion of the idea in "Interference-Aware Geometric Modeling" [Harmon et + % al. 2011]. + % + % VV = untangle(V,F) + % + % Inputs: + % V #V by dim list of vertex positions + % F #F by 3 list of triangle indices into V + % Optional: + % 'ExpansionEnergy' Followed by one of the following energy types: + % 'none' just let eltopo find a valid state and move on + % 'arap' gradient descent on ARAP energy after each reverse step. + % 'FinalEnergy' Followed by one of the following energy types: + % 'none' just let eltopo find a valid state and move on + % 'arap' gradient descent on ARAP energy after each reverse step. + % 'Delta' followed by delta value, should roughly be in range + % [1e-13,1e13] {1} + % 'MaxIter' followed by maximum number of iterations {100} + % 'MaxEnergyIter' followed by maximum number of iterations for energy + % minimization {100} + % 'LaplacianType' followed by 'cotangent' of 'uniform'. + % Outputs: + % VV #V by dim list of new vertex positions + % U #V by dim by steps list of steps + % + + function append_Ubackward() + if main_nargout>=3 + if isempty(Ubackward) + Ubackward = zeros([size(VV) 1+(size(Uforward,3)-1)*e_max_eit+f_max_eit]); + end + Ubackward(:,:,bit) = VV; + bit = bit+1; + end + end + + delta = 3e-5; + max_iter = 100; + laplacian_type = 'cotangent'; + f_max_eit = 100; + e_max_eit = 10; + expansion_energy = 'none'; + final_energy = 'none'; + V0 = V; + rescale_output = false; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'MaxIter','ExpansionEnergy','FinalEnergy','Delta','LaplacianType', ... + }, ... + {'max_iter','expansion_energy','final_energy','delta','laplacian_type', ... + }); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + if strcmp(expansion_energy,'none') + e_max_eit = 1; + end + if strcmp(final_energy,'none') + f_max_eit = 1; + end + + + [~,Uforward] = conformalized_mean_curvature_flow( ... + V,F,'delta',3e-5,'MaxIter',100, ... + 'LaplacianType',laplacian_type, ... + 'UntilSelfIntersectionFree',true, ... + 'RescaleOutput',true); + + t = tsurf(F,V,fphong); + colormap(parula(15)); + axis equal; + view(2); + %U = {V}; + %prev_IF = []; + %while true + % first_only = false; + % [~,~,IF] = selfintersect(U{end},F,'DetectOnly',true,'FirstOnly',first_only); + % title(sprintf('%d',size(IF,1))); + % if ~isempty(prev_IF) && size(IF,1) > size(prev_IF,1) + % input(sprintf('number of self-intersections is increasing from %d to %d',size(prev_IF,1),size(IF,1))); + % end + % prev_IF = IF; + % if isempty(IF) + % break; + % end + % [U{end+1}] = laplacian_smooth(U{1},F,'uniform',[],0.1,'implicit',U{end},1); + % t.Vertices = U{end}; + % drawnow; + %end + + Ubackward = []; + bit = 1; + main_nargout = nargout; + VV = Uforward(:,:,end); + append_Ubackward(); + + t.Vertices = VV; + drawnow; + for it = size(Uforward,3)-1:-1:0 + if it == 0 + energy = final_energy; + max_eit = f_max_eit; + it = 1; + else + energy = expansion_energy; + max_eit = e_max_eit; + end + switch energy + case 'arap' + tol = 1e-7; + VV_prev = VV; + delta_t = 0.3; + for eit = 1:max_eit + + [G,E_prev,R] = arap_gradient(Uforward(:,:,it),F,VV_prev); + dVV = G; + while true + VV = VV_prev - delta_t * dVV; + [~,E] = arap_gradient(Uforward(:,:,it),F,VV); + if E0); + end + [VV,~] = eltopo(VV_prev,F,VV); + append_Ubackward(); + title(sprintf('step %d/%d, %d/%d',size(Uforward,3)-it,size(Uforward,3)-1,eit,max_eit),'FontSize',15); + t.Vertices = VV; + C = normrow(G); + t.CData = C; + colorbar; + caxis([min(C) max(C)]); + drawnow; + dVV = max(abs(VV-VV_prev)); + if dVV < tol + break; + end + [~,E] = arap_gradient(Uforward(:,:,it),F,VV); + if E_prev < E + delta_t = 0.5*delta_t; + end + VV_prev = VV; + end + case 'none' + title(sprintf('step %d/%d',size(Uforward,3)-it,size(Uforward,3)-1),'FontSize',15); + drawnow; + [VV,~] = eltopo(VV,F,Uforward(:,:,it)); + append_Ubackward(); + t.Vertices = VV; + otherwise + error(sprintf('Unknown energy type (%s)',energy)); + end + + [~,~,IF] = selfintersect(VV,F,'DetectOnly',true,'FirstOnly',true); + if ~isempty(IF) + error('eltopo failed'); + end + end +end diff --git a/matlab/external/gptoolbox/mesh/upsample.m b/matlab/external/gptoolbox/mesh/upsample.m new file mode 100644 index 0000000..d34bdc7 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/upsample.m @@ -0,0 +1,217 @@ +function [VV,FF,FO] = upsample(V,F,varargin) + % UPSAMPLE Upsample a mesh by adding vertices on existing edges/faces + % + % [VV,FF] = upsample(V,F) + % [VV,FF,FO] = upsample(V,F,'ParameterName',ParameterValue, ...) + % + % Inputs: + % V #V by dim list of vertex positions + % F #F by simplex-size list of simplex indices + % Optional: + % 'KeepDuplicates' followed by either true or {false}} + % 'OnlySelected' followed by a list of simplex indices into F to + % subdivide. + % Outputs: + % VV #VV by dim list new vertex positions, original V always comes first. + % FF #FF by simplex-size new list of face indices into VV + % FO #FF list of indices into F of original "parent" simplex + % + % + % This is Loop subdivision without moving the points + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + +% % Add a new vertex at each face barycenter +% % compute barycenters +% C = (V(F(:,1),:)+V(F(:,2),:)+V(F(:,3),:))./3; +% % append barycenters to list of vertex positions +% VV = [V;C]; +% % list of indices to barycenters +% i = size(V,1) + (1:size(C,1))'; +% % New face indices, 3 new face for each original face +% FF = [F(:,1) F(:,2) i; F(:,2) F(:,3) i; F(:,3) F(:,1) i]; +% + + % o o + % / \ / \ + % x x ---> o---o + % / \ / \ / \ + % o---x---o o---o---o + function [U14,F14,E14] = one_four(offset,V,F) + % compute midpoints (actually repeats, one midpoint per edge per face) + E14 = [F(:,2) F(:,3);F(:,3) F(:,1);F(:,1) F(:,2)]; + U14 = (V(E14(:,1),:)+V(E14(:,2),:))/2; + % indices of midpoints + nu = size(U14,1); + i1 = offset+(1:(nu/3))'; + i2 = offset+((nu/3)) + (1:(nu/3))'; + i3 = offset+((nu/3)+(nu/3)) + (1:(nu/3))'; + % new face indices, 4 new faces for each original face. As if we simply + % ignored the duplicates in m and had appended m to V + F14 = [ F(:,1) i3 i2 ; F(:,2) i1 i3 ; F(:,3) i2 i1 ; i1 i2 i3]; + end + + % o o + % / \ /|\ + % x \ ---> o | \ + % / \ / \| \ + % o---x---o o---o---o + function [U13,F13,E13] = one_three(offset,V,F,M) + E = [F(:,2) F(:,3);F(:,3) F(:,1);F(:,1) F(:,2)]; + A = cumsum(M,2); + [SJ,SI] = find(M'==0); + % Vertex opposite non-subdivided edge + flip = SJ==2; + O1 = F(sub2ind(size(A),SI,SJ)); + % Next vertex + O2 = F(sub2ind(size(A),SI,mod(SJ,3)+1)); + % Next next vertex + O3 = F(sub2ind(size(A),SI,mod(SJ+1,3)+1)); + % Vertex opposite first subdivided edge + first = M'==1 & A'==1; + [SJ,SI] = find(first); + I1 = sub2ind(size(A),SI,SJ); + E13 = [ ... + F(sub2ind(size(A),SI,mod(SJ,3)+1)) ... + F(sub2ind(size(A),SI,mod(SJ+1,3)+1))]; + % Vertex opposite second subdivided edge + [SJ,SI] = find(M'==1 & ~first); + I2 = sub2ind(size(A),SI,SJ); + E13 = [E13; ... + F(sub2ind(size(A),SI,mod(SJ,3)+1)) ... + F(sub2ind(size(A),SI,mod(SJ+1,3)+1))]; + + % New vertex positions at midpoints + U13 = (V(E13(:,1),:)+V(E13(:,2),:))/2; + % indices of midpoints + nu = size(U13,1); + i1 = offset+(1:(nu/2))'; + i2 = offset+((nu/2)) + (1:(nu/2))'; + temp1 = i1; + i1(flip) = i2(flip); + i2(flip) = temp1(flip); + F13 = [i1 O1 i2;i2 O2 O3;i2 O3 i1]; + %reshape(F13,[],9) + end + + % o o + % / \ /|\ + % / \ ---> / | \ + % / \ / | \ + % o---x---o o---o---o + function [U12,F12,E12] = one_two(offset,V,F,M) + [SJ,SI] = find(M'==1); + O1 = F(sub2ind(size(M),SI,SJ)); + O2 = F(sub2ind(size(M),SI,mod(SJ+0,3)+1)); + O3 = F(sub2ind(size(M),SI,mod(SJ+1,3)+1)); + E12 = [O2 O3]; + % New vertex positions at midpoints + U12 = (V(E12(:,1),:)+V(E12(:,2),:))/2; + nu = size(U12,1); + i1 = offset + (1:nu)'; + F12 = [O1 O2 i1;O1 i1 O3]; + end + + keep_duplicates = false; + sel = []; + % default values + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'KeepDuplicates','OnlySelected'}, ... + {'keep_duplicates','sel'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + if islogical(sel) + sel = find(sel); + end + sel = sel(:); + + switch size(F,2) + % http://mathoverflow.net/questions/28615/tetrahedron-splitting-subdivision + case 3 + % Add a new vertex at the midpoint of each edge + if isempty(sel) + sel = (1:size(F,1))'; + end + nsel = setdiff((1:size(F,1))',sel); + + Fsel = F(sel,:); + + E = [F(:,2) F(:,3);F(:,3) F(:,1);F(:,1) F(:,2)]; + Esel = [F(sel,2) F(sel,3);F(sel,3) F(sel,1);F(sel,1) F(sel,2)]; + Ensel = [F(nsel,2) F(nsel,3);F(nsel,3) F(nsel,1);F(nsel,1) F(nsel,2)]; + + [I] = ismember(sort(Ensel,2),sort(Esel,2),'rows'); + nn = numel(nsel); + M = sparse(repmat(1:nn',1,3),repmat([1 2 3],nn,1),reshape(I,nn,3),nn,3); + C = sum(M,2); + M13 = M(C==2,:); + S13 = nsel(C==2); + M12 = M(C==1,:); + S12 = nsel(C==1); + + n = size(V,1); + S14 = union(sel,nsel(C==3)); + + S11 = setdiff((1:size(F,1))',[S14(:);S13(:);S12(:)]); + [U14,F14,EU14] = one_four(size(V,1),V,F(S14,:)); + [U13,F13,EU13] = one_three(size(V,1)+size(U14,1),V,F(S13,:),M13); + [U12,F12,EU12] = one_two(size(V,1)+size(U14,1)+size(U13,1),V,F(S12,:),M12); + F11 = F(S11,:); + + FF = [F14;F13;F12;F11]; + FO = [S14;S14;S14;S14;S13;S13;S13;S12;S12;S11]; + U = [U14;U13;U12]; + EU = [EU14;EU13;EU12]; + nu = size(U,1); + + % find unique midpoints (potentially slow, though matlab is good at + % these) + if keep_duplicates + U = U; + J = (1:nu)'; + else + [~,I,J] = unique(sort(EU,2),'rows'); + U = U(I,:); + end + % append unique midpoints to vertex positions + VV = [V ; U]; + % reindex map from duplicate midpoint indices to unique midpoint indices + J = [(1:n)';J+n]; + % reindex faces + FF = J(FF); + case 2 + if isempty(sel) + m = [ (V(F(:,1),:) + V(F(:,2),:))/2 ]; + % indices of new midpoint vertices + im = size(V,1) + (1:size(m,1))'; + % insert new face indices + FF = [F(:,1) im;im F(:,2)]; + FO = [1:m 1:m]'; + % append unique midpoints to vertex positions + VV = [V;m]; + % No duplicates in 2D case + else + Fsel = F(sel,:); + nsel = setdiff(1:size(F,1),sel); + Fnsel = F(nsel,:); + [VV,FF,FO] = upsample(V,Fsel,'KeepDuplicates',keep_duplicates); + FF = [Fnsel;FF]; + FO = [nsel;sel(FO)]; + end + end + +end diff --git a/matlab/external/gptoolbox/mesh/volume.m b/matlab/external/gptoolbox/mesh/volume.m new file mode 100644 index 0000000..0c10ae2 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/volume.m @@ -0,0 +1,31 @@ +function [v,sv] = volume(V,T) + % VOLUME Compute volumes of tets T defined over vertices V + % + % v = volume(V,T) + % + % Inputs: + % V #V by dim>=3 list of vertex positions + % T #T by 4 list of tetrahedra indices + % Ouputs: + % v #T list of tet volumes. Signed if dim = 3 + % + + a = V(T(:,1),:); + b = V(T(:,2),:); + c = V(T(:,3),:); + d = V(T(:,4),:); + % http://en.wikipedia.org/wiki/Tetrahedron#Volume + % volume for each tetrahedron + + % Minus sign so that typical tetgen mesh has positive volume + %v = -dot((a-d),cross2(b-d,c-d),2)./6./4; + % Not sure where that ./4 came from... + v = -dot((a-d),cross2(b-d,c-d),2)./6; + function r = cross2(a,b) + % Optimizes r = cross(a,b,2), that is it computes cross products per row + % Faster than cross if I know that I'm calling it correctly + r =[a(:,2).*b(:,3)-a(:,3).*b(:,2), ... + a(:,3).*b(:,1)-a(:,1).*b(:,3), ... + a(:,1).*b(:,2)-a(:,2).*b(:,1)]; + end +end diff --git a/matlab/external/gptoolbox/mesh/volume_intrinsic.m b/matlab/external/gptoolbox/mesh/volume_intrinsic.m new file mode 100644 index 0000000..e7f291e --- /dev/null +++ b/matlab/external/gptoolbox/mesh/volume_intrinsic.m @@ -0,0 +1,37 @@ +function [vol] = volume_intrinsic(l) + % VOLUME Compute volumes of tets defined intrinsically by edge lengths l + % + % v = volume(l) + % + % Inputs: + % l #T by 6 list of tetrahedra side lengths of edges opposite *face* pairs + % [23 31 12 41 42 43] + % Ouputs: + % vol #T list of tet volumes (always positive) + % + + % http://en.wikipedia.org/wiki/Heron%27s_formula#Heron-type_formula_for_the_volume_of_a_tetrahedron + + % U, V, W, u, v, w are lengths of edges of the tetrahedron (first three form + % a triangle; u opposite to U and so on) + u = l(:,1); v = l(:,2); w = l(:,3); + U = l(:,4); V = l(:,5); W = l(:,6); + X = (w - U + v).*(U + v + w); + x = (U - v + w).*(v - w + U); + Y = (u - V + w).*(V + w + u); + y = (V - w + u).*(w - u + V); + Z = (v - W + u).*(W + u + v); + z = (W - u + v).*(u - v + W); + a = sqrt(x.*Y.*Z); + b = sqrt(y.*Z.*X); + c = sqrt(z.*X.*Y); + d = sqrt(x.*y.*z); + vol = sqrt( ... + (-a + b + c + d).* ... + ( a - b + c + d).* ... + ( a + b - c + d).* ... + ( a + b + c - d))./ ... + (192.*u.*v.*w); + +end + diff --git a/matlab/external/gptoolbox/mesh/voxel_grid.m b/matlab/external/gptoolbox/mesh/voxel_grid.m new file mode 100644 index 0000000..7b60849 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/voxel_grid.m @@ -0,0 +1,84 @@ +function [BC,side,r,DV] = voxel_grid(V,side,varargin) + % VOXEL_GRID Prepare a voxel grid around a set of points V + % + % Inputs: + % V #V by 3 list of input point positions + % side either: + % scalar specifying how many steps along the x-coordinate of V's bounding + % box + % or + % 3 list specifying how many steps in x, y, and z coordinates of V's + % bounding box + % Optional: + % 'Pad' followed by the number of "extra cells" to add on all six sides + % of the grid (pad_count). + % Outputs: + % BC prod(side+2*pad_count) by 3 list of cell centers + % side number of cells on each side: side+2*pad_count + % r size of step in each direciton + % DV cell corners + pad_count = 0; + % default values + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Pad'}, ... + {'pad_count'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + + side = side-pad_count*2; + switch numel(side) + case 3 + side(1) = side(1); + side(2) = side(2); + side(3) = side(3); + NV = min(V); + XV = max(V); + r = [XV-NV]./([side(1) side(2) side(3)] - 1); + case 1 + % Enclose bounding box in regular mesh + side(1) = side(1); + NV = min(V); + XV = max(V); + side(2) = ceil(side(1) * (XV(2)-NV(2))/(XV(1)-NV(1))); + side(3) = ceil(side(1) * (XV(3)-NV(3))/(XV(1)-NV(1))); + r = max((XV-NV)./(side-1)); + % recenter + old_cen = 0.5*(XV + NV); + XV = NV + r*(side-1); + cen = 0.5*(XV + NV); + XV = XV + old_cen - cen; + NV = NV + old_cen - cen; + otherwise + error('side should be scalar or triplet'); + end + assert(all(side==ceil(side)),'All side values should be integer'); + + side = side+pad_count*2; + old_cen = 0.5*(XV + NV); + XV = NV+r.*(side-1); + cen = 0.5*(XV + NV); + XV = XV + old_cen - cen; + NV = NV + old_cen - cen; + r = (XV-NV)./(side-1); + + [X,Y,Z] = meshgrid( ... + NV(1)+linspace(0,1,side(1))*(XV(1)-NV(1)), ... + NV(2)+linspace(0,1,side(2))*(XV(2)-NV(2)), ... + NV(3)+linspace(0,1,side(3))*(XV(3)-NV(3))); + % barycenters of cells + BC = [X(:) Y(:) Z(:)]; + +end diff --git a/matlab/external/gptoolbox/mesh/voxel_surface.m b/matlab/external/gptoolbox/mesh/voxel_surface.m new file mode 100644 index 0000000..18ad354 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/voxel_surface.m @@ -0,0 +1,104 @@ +function [V,Q,QT,QF,QL] = voxel_surface(W,varargin) + % VOXEL_SURFACE Compute the surface quad mesh of a 3d logical image. + % + % [V,Q,QT,QF,QL] = voxel_surface(W,varargin) + % + % Inputs: + % W n by m by k binary matix + % Optional: + % 'Centers' followed by n*m*k by 3 list of cell centers + % Outputs: + % V (n+1)*(m+1)*(k+1) by 3 list of cell corner positions + % Q #Q by 4 list of quads indexing V + % QT n*m*k by 4 list of "top" quad faces indexing V + % QF n*m*k by 4 list of "front" quad faces indexing V + % QL n*m*k by 4 list of "left" quad faces indexing V + % + % Examples: + % [V,Q] = voxel_surface(W); + % [V,IM] = remove_unreferenced(V,Q); + % Q = IM(Q); + % trisurf(Q,V(:,1),V(:,2),V(:,3)); + % axis equal; + % + % See also: voxelize, voxel_grid + + BC = []; + % default values + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Centers'}, ... + {'BC'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + side = [size(W,2) size(W,1) size(W,3)]; + if isempty(BC) + [X,Y,Z] = meshgrid( ... + linspace(0,1,side(1)), ... + linspace(0,1,side(2)), ... + linspace(0,1,side(3))); + % barycenters of cells + BC = [X(:) Y(:) Z(:)]; + end + + NV = min(BC); + XV = max(BC); + r = (XV-NV)./(side-1); + [X,Y,Z] = meshgrid( ... + (NV(1)-0.5*r(1))+linspace(0,1,side(1)+1)*(XV(1)-NV(1)+r(1)), ... + (NV(2)-0.5*r(2))+linspace(0,1,side(2)+1)*(XV(2)-NV(2)+r(2)), ... + (NV(3)-0.5*r(3))+linspace(0,1,side(3)+1)*(XV(3)-NV(3)+r(3))); + % corners of cells + V = [X(:) Y(:) Z(:)]; + + [II,JJ,KK] = ind2sub([side(2) side(1) side(3)]+1,reshape(1:size(V,1),[side(2) side(1) side(3)]+1)); + + QF = [ ... + reshape(sub2ind([side(2) side(1) side(3)]+1,II(1:end-1,1:end-1,1:end),JJ(1:end-1,1:end-1,1:end),KK(1:end-1,1:end-1,1:end)),[],1) ... + reshape(sub2ind([side(2) side(1) side(3)]+1,II( 2:end,1:end-1,1:end),JJ( 2:end,1:end-1,1:end),KK( 2:end,1:end-1,1:end)),[],1) ... + reshape(sub2ind([side(2) side(1) side(3)]+1,II( 2:end, 2:end,1:end),JJ( 2:end, 2:end,1:end),KK( 2:end, 2:end,1:end)),[],1) ... + reshape(sub2ind([side(2) side(1) side(3)]+1,II(1:end-1, 2:end,1:end),JJ(1:end-1, 2:end,1:end),KK(1:end-1, 2:end,1:end)),[],1) ... + ]; + + QL = fliplr([ ... + reshape(sub2ind([side(2) side(1) side(3)]+1,II(1:end-1,1:end,1:end-1),JJ(1:end-1,1:end,1:end-1),KK(1:end-1,1:end,1:end-1)),[],1) ... + reshape(sub2ind([side(2) side(1) side(3)]+1,II( 2:end,1:end,1:end-1),JJ( 2:end,1:end,1:end-1),KK( 2:end,1:end,1:end-1)),[],1) ... + reshape(sub2ind([side(2) side(1) side(3)]+1,II( 2:end,1:end, 2:end),JJ( 2:end,1:end, 2:end),KK( 2:end,1:end, 2:end)),[],1) ... + reshape(sub2ind([side(2) side(1) side(3)]+1,II(1:end-1,1:end, 2:end),JJ(1:end-1,1:end, 2:end),KK(1:end-1,1:end, 2:end)),[],1) ... + ]); + + QT = [ ... + reshape(sub2ind([side(2) side(1) side(3)]+1,II(1:end,1:end-1,1:end-1),JJ(1:end,1:end-1,1:end-1),KK(1:end,1:end-1,1:end-1)),[],1) ... + reshape(sub2ind([side(2) side(1) side(3)]+1,II(1:end, 2:end,1:end-1),JJ(1:end, 2:end,1:end-1),KK(1:end, 2:end,1:end-1)),[],1) ... + reshape(sub2ind([side(2) side(1) side(3)]+1,II(1:end, 2:end, 2:end),JJ(1:end, 2:end, 2:end),KK(1:end, 2:end, 2:end)),[],1) ... + reshape(sub2ind([side(2) side(1) side(3)]+1,II(1:end,1:end-1, 2:end),JJ(1:end,1:end-1, 2:end),KK(1:end,1:end-1, 2:end)),[],1) ... + ]; + + if ~any(W(:)) + Q = []; + else + Wp = padarray(W,[1 1 1],0); + Dy = diff(Wp,1,1); + Dx = diff(Wp,1,2); + Dz = diff(Wp,1,3); + Q = [ ... + QF(Dz(2:end-1,2:end-1,1:end)>0.5,:); ... + QL(Dx(2:end-1,1:end,2:end-1)>0.5,:); ... + QT(Dy(1:end,2:end-1,2:end-1)>0.5,:); ... + fliplr(QF(Dz(2:end-1,2:end-1,1:end)<-0.5,:)); ... + fliplr(QL(Dx(2:end-1,1:end,2:end-1)<-0.5,:)); ... + fliplr(QT(Dy(1:end,2:end-1,2:end-1)<-0.5,:)); ... + ]; + end +end diff --git a/matlab/external/gptoolbox/mesh/voxelize.m b/matlab/external/gptoolbox/mesh/voxelize.m new file mode 100644 index 0000000..eb8cba2 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/voxelize.m @@ -0,0 +1,191 @@ +function [W,BC,DV,Q] = voxelize(V,F,side,varargin) + % VOXELIZE Given a mesh compute a voxelization of that mesh on a regular grid + % fit to the bounding box. + % + % W = voxelize(V,F,side) + % [W,BC,DV,Q] = voxelize(V,F,side,'ParameterName',ParameterValue, ...) + % + % Inputs: + % V #V by 3 list of vertex positions + % F #F by 3 list of triangle indices into V, expects counterclockwise + % orientation to produce outward pointing normal + % side either the number of cells in the x direction or a triple + % containing the number of cells in each dimension + % Optional: + % 'Pad' followed by number of padding to add to each side. 1 would mean + % add one extra cell on the top, bottom, left, right, front, and back + % of bounding box lattice {0}. + % 'Boundary' followed by wether to consider any cell intersecting the + % mesh as inside {true}. + % 'Interior' followed by whether to consider any cell full inside the + % mesh as inside {true} + % Outputs: + % W side(1) by side(2) by side(3) matrix with W(i,j,k) ~= if location + % cell centered at BC(i,j,k) overlaps with the volume of (V,F) + % BC side(1) by side(2) by side(3) matrix of cell barycenters + % DV side(1)+1 by side(2)+1 by side(3)+1 matrix of cell corner locations + % Q #Q by 4 list of quads indexing DV + % + % Known issues: the ouput surface mesh will contain non-manifold edges and + % vertices at voxels that meet at such edges or vertices. + % + % Example: + % [W,BC,DV,Q] = voxelize(V,F,50); + % % Get triangles from quads + % DF = [Q(:,[1 2 3]);Q(:,[1 3 4])]; + % % Remove unreferenced corners + % [SV,IM] = remove_unreferenced(DV,DF); + % % re-index + % SF = IM(DF); + % SQ = IM(Q); + % + % [W,BC] = voxelize(V,F,50,'Pad',1); + % % Use matlab's isosurface to extract surface as triangle mesh + % BC = reshape(BC,[size(W) 3]); + % surf = isosurface(BC(:,:,:,1),BC(:,:,:,2),BC(:,:,:,3),W,0.5); + % DV = bsxfun(@plus,bsxfun(@times,bsxfun(@rdivide,surf.vertices-1, ... + % [size(W,2) size(W,1) size(W,3)]-1),max(BC)-min(BC)),min(BC)); + % DF = surf.faces; + % + % + % See also: bwboundaries, isosurface + + with_boundary = true; + with_interior = true; + pad_count = 0; + % default values + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Boundary','Interior','Pad'}, ... + {'with_boundary','with_interior','pad_count'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + + + [BC,side,r] = voxel_grid(V,side,'Pad',pad_count); + NV = min(BC); + XV = max(BC); + W = zeros([side(2) side(1) side(3)]); + [DV,~,QT,QF,QL] = voxel_surface(W,'Centers',BC); + + if with_interior + % Winding number is a heavy handed way of determining inside/outside for a + % simple closed polyhedron. If the boundary has already been detected then + % this should be floodfilling instead. + + %W = winding_number(V,F,BC); + WDV = reshape(winding_number(V,F,DV),[side(2) side(1) side(3)]+1); + WDV = abs(WDV) >= 0.5; + W = ( ... + WDV(1:end-1,1:end-1,1:end-1) | ... + WDV(1:end-1,1:end-1,2:end) | ... + WDV(1:end-1, 2:end,1:end-1) | ... + WDV(1:end-1, 2:end,2:end) | ... + WDV( 2:end,1:end-1,1:end-1) | ... + WDV( 2:end,1:end-1,2:end) | ... + WDV( 2:end, 2:end,1:end-1) | ... + WDV( 2:end, 2:end,2:end)); + end + + Q = [QT;QF;QL]; + + if with_boundary + % TODO: Could at least ignore already-inside cells. + DF = [Q(:,[3 2 1]);Q(:,[4 3 1])]; + IF = intersect_other(V,F,DV,DF); + IF = mod(IF(:,2)-1,size(Q,1))+1; + W = reshape(W,[side(2) side(1) side(3)]); + % Force winding number to mark voxels intersecting boundary as inside + % (This should just be replaced with rasterizing the surface) + iQT = IF(IF<=size(QT,1)); + iQF = IF(IF>size(QT,1) & IF<=size(QT,1)+size(QF,1))-size(QT,1); + iQL = IF(IF>size(QT,1)+size(QF,1))-size(QT,1)-size(QF,1); + %W(:) = 0; + %warning('winding number = 0'); + + [II,JJ,KK] = ind2sub([side(2)+1 side(1) side(3) ],iQT); + KK = KK(II<=side(2)); + JJ = JJ(II<=side(2)); + II = II(II<=side(2)); + W(sub2ind([side(2) side(1) side(3)],II,JJ,KK)) = 1; + [II,JJ,KK] = ind2sub([side(2)+1 side(1) side(3) ],iQT); + II = II-1; + KK = KK(II<=side(2)); + JJ = JJ(II<=side(2)); + II = II(II<=side(2)); + W(sub2ind([side(2) side(1) side(3)],II,JJ,KK)) = 1; + + [II,JJ,KK] = ind2sub([side(2) side(1)+1 side(3) ],iQL); + II = II(JJ<=side(1)); + KK = KK(JJ<=side(1)); + JJ = JJ(JJ<=side(1)); + W(sub2ind([side(2) side(1) side(3)],II,JJ,KK)) = 1; + [II,JJ,KK] = ind2sub([side(2) side(1)+1 side(3) ],iQL); + JJ = JJ-1; + II = II(JJ<=side(1)); + KK = KK(JJ<=side(1)); + JJ = JJ(JJ<=side(1)); + W(sub2ind([side(2) side(1) side(3)],II,JJ,KK)) = 1; + + [II,JJ,KK] = ind2sub([side(2) side(1) side(3)+1],iQF); + II = II(KK<=side(3)); + JJ = JJ(KK<=side(3)); + KK = KK(KK<=side(3)); + W(sub2ind([side(2) side(1) side(3)],II,JJ,KK)) = 1; + [II,JJ,KK] = ind2sub([side(2) side(1) side(3)+1],iQF); + KK = KK-1; + II = II(KK<=side(3)); + JJ = JJ(KK<=side(3)); + KK = KK(KK<=side(3)); + W(sub2ind([side(2) side(1) side(3)],II,JJ,KK)) = 1; + end + + %trisurf(Q(IF,:),DV(:,1),DV(:,2),DV(:,3),'FaceColor','r'); + %hold on; + %tsurf(F,V,'FaceColor','g','FaceAlpha',0.2,'EdgeAlpha',0.2); + %hold off; + + %% From cells to faces: + %[II,JJ,KK] = ind2sub([side(2) side(1) side(3)],find(abs(W)>0.5)); + %Q = [ ... + % QT(sub2ind([side(2)+1 side(1) side(3) ],II+1,JJ,KK),:); ... + % QT(sub2ind([side(2)+1 side(1) side(3) ],II+0,JJ,KK),:); ... + % QF(sub2ind([side(2) side(1) side(3)+1],II,JJ,KK+1),:); ... + % QF(sub2ind([side(2) side(1) side(3)+1],II,JJ,KK+0),:); ... + % QL(sub2ind([side(2) side(1)+1 side(3) ],II,JJ+1,KK),:); ... + % QL(sub2ind([side(2) side(1)+1 side(3) ],II,JJ+0,KK),:); ... + % ]; + %trisurf(Q,DV(:,1),DV(:,2),DV(:,3),'FaceAlpha',0.5,'EdgeAlpha',0.5); + %hold on; + %tsurf(F,V,'FaceColor','g','FaceAlpha',0.2,'EdgeAlpha',0.2); + %hold off; + %axis equal + % + %error + + % Pad winding number with 0s and take differences in all 6 directions + Wp = padarray(W,[1 1 1],0); + Dy = diff(Wp,1,1); + Dx = diff(Wp,1,2); + Dz = diff(Wp,1,3); + Q = [ ... + QF(Dz(2:end-1,2:end-1,1:end)>0.5,:); ... + QL(Dx(2:end-1,1:end,2:end-1)>0.5,:); ... + QT(Dy(1:end,2:end-1,2:end-1)>0.5,:); ... + fliplr(QF(Dz(2:end-1,2:end-1,1:end)<-0.5,:)); ... + fliplr(QL(Dx(2:end-1,1:end,2:end-1)<-0.5,:)); ... + fliplr(QT(Dy(1:end,2:end-1,2:end-1)<-0.5,:)); ... + ]; +end diff --git a/matlab/external/gptoolbox/mesh/vt.m b/matlab/external/gptoolbox/mesh/vt.m new file mode 100644 index 0000000..56de50d --- /dev/null +++ b/matlab/external/gptoolbox/mesh/vt.m @@ -0,0 +1,30 @@ +function [VT] = vt(V,F) +% VT Compute the Vertex-Face topology +% +% VT = vt(V,F) +% +% Input: +% V vertex coordinates, Vx3 +% F triangles , Fx3 +% Output: +% VT sparse matrix that contains a 1 in the i-j element if vertices i is +% part of face j + +%% prepare sparse matrix +i = ones(10*size(V,1),1); +j = ones(10*size(V,1),1); +v = zeros(10*size(V,1),1); + +row = 1; + +for x=1:size(F,1) % for every face + for y1=1:3 % for every pair of neighbours + i(row) = x; + j(row) = F(x,y1); + v(row) = 1; + row = row + 1; + end +end + +VT = sparse(i,j,v); +end diff --git a/matlab/external/gptoolbox/mesh/vtxpolyfit.m b/matlab/external/gptoolbox/mesh/vtxpolyfit.m new file mode 100644 index 0000000..7ab8f9a --- /dev/null +++ b/matlab/external/gptoolbox/mesh/vtxpolyfit.m @@ -0,0 +1,115 @@ +function [polycoefs] = vtxpolyfit(V,mmesh,vtxset,vals,deg) +% VTXPOLYFIT produces #V x m matrix of polynomial coefficients, m = +% (deg+1)*(deg+2)/2 the ordering of monomials is 1, u, v, u^2, uv v^2, u^3, u^2 +% v ... the fit is regularized, so that if there are not enough degrees of +% freedom a reasonable result should still be produced if 2 layers of vertices +% are fixed, there is enough dofs for deg 1 and typically not enough for deg 2 +% if 3 layers are fixed then there is typically enough dofs for deg 2 +% +% [polycoefs] = vtxpolyfit(V,mmesh,vtxset,vals,deg) +% +% Inputs: +% V #V list of points +% mmesh data structure produced by hds +% vtxset a set of indices +% vals values at vertices +% deg polynomial total degree , primarily intended for deg = 1,2 +% Outputs: +% polycoefs #V by m matrix of polynomial coefficients +% + + num_monom = (deg+1)*(deg+2)/2; + % powers of u and v for monomials u^l u^m, l+m <=deg, enumerated + % sequentially for the least squares matrix + powu = zeros(num_monom,1); powv = powu; + last = 0; + for i = 0:deg + powu(last+1:last+i+1) = i:-1:0; + powv(last+1:last+i+1) = 0:i; + last = last+i+1; + end; + + + num_vtx = length(vtxset); + vtxset_sorted = sort(vtxset); + + % **** build the lists of neighbors of each vertex in vtxset combined into one long vector + + % we only consider neighbors which are not in the interior + noninterior = setdiff(1:mmesh.nvert,mmesh.interior); + % adjacency matrix of vertices in vtxset restricted to outside of the + % interior + adj_vtxset = sparse([],[],[], mmesh.nvert,mmesh.nvert); + adj_vtxset(vtxset_sorted,noninterior) = mmesh.adj(vtxset_sorted,noninterior); + [vtx,nbrvtx,heind] = find(adj_vtxset); + % extra vertices for fit stability: + % if he if the halfedge opposite a vertex + % we add the vertex of the triangle on the other side of the edge to + % the neighborhood, or an extra vertex along the boundary, if the + % edge is the boundary edge + extravtx = mmesh.tip(mmesh.next(mmesh.opp(mmesh.prev(heind)))); + % can only use noninterior vertices + validextras = ~ismember(extravtx,mmesh.interior); + % create an adj matrix as if edges were connecting vertices to extras + % so that it can be added to the adj_vtxset + adj_extras = sparse( vtx(validextras), extravtx(validextras), 1, mmesh.nvert,mmesh.nvert); + % + % add extra vertices + adj_vtxset = adj_vtxset + adj_extras; + % add the diagonal: each vertex is its own neighbor + adj_vtxset = adj_vtxset + sparse(vtxset_sorted,vtxset_sorted,1,mmesh.nvert,mmesh.nvert); + + % nbrlists first col: vertex index; second col: neighbor vertex index + [vtx,nbrvtx] = find(adj_vtxset); + nbrlists = sortrows([vtx,nbrvtx],1); + % nbrstarts: first indices of each 1-neighborhood list in nbrlists + % vtxseqind: the list of vertices in vtxset with each vertex index + % replaced by its sequential index in sorted nbrlists; + % (we need it to construct the monomials matrix) + [dummy,nbrstarts, vtxseqind] = unique(nbrlists(:,1),'first'); + % ending indices of each neighbor list + nbrends = [nbrstarts(2:end); size(nbrlists,1)+1]-1; + % number of neigbors for each vertex + nbrsizes = nbrends-nbrstarts+1; + % computing it in a different way to verify correctness + nbrsizes_alt = ( adj_vtxset ~= 0)*ones(size(mmesh.adj,2),1); + nbrsizes_alt = nbrsizes_alt(nbrsizes_alt ~= 0); + fprintf('verifying nbrhd sizes computed in a different way, diff should be zero: %g\n', ... + norm(nbrsizes - nbrsizes_alt)); + if( any(nbrsizes < num_monom) ) + % TODO: add flaps, this will pretty much guarantee this does not + % happen + warning('vertex nbrhds have too few vertices'); + fprintf('%g ', find(nbrsizes < num_monom)); + fprintf('\n'); + fprintf('%g ', nbrsizes(nbrsizes < num_monom)); + fprintf('\n'); + end + + % ****** building a big matrix for all vertices at once + + % this is a block-diagonal matrix, with each diagonal block + % P^i of size #nbrs(i) x num_monom, i = 1.. num_vertices + % row indices are just + nbrindices = reshape(repmat(1:size(nbrlists,1)',num_monom,1),[],1); + % build a matrix with first column being sequential indices of + % vertices in vtxset, each repeated as many times as there are vertices + % in its neighborhood, followed by num_monom-1 columns of 1 + monomindices = [(vtxseqind-1)*num_monom+1 repmat(ones(size(vtxseqind,1),1),1,num_monom-1)]; + % compute cumm. sums along rows: in this way, we get sequential indices + % in each row instead of 1; then flatten + monomindices = reshape( cumsum(monomindices,2)',[],1); + % finally, build the matrix monomial matrix + P = sparse(nbrindices, monomindices, ... + V(nbrlists(nbrindices,2),1).^powu(rem(monomindices-1,num_monom)+1).* ... + V(nbrlists(nbrindices,2),2).^powv(rem(monomindices-1,num_monom)+1)); + % least squares system with basic regularization + A = P'*P + 1e-15*speye(size(P,2)); + rhs = P'*vals(nbrlists(:,2)); + % least squares polynomial coefficients, arranged in one big vector, + % the order is the same as the sorted order of vertices in vtxset + polycoefs = A \ rhs; + % converting to a sparse matrix for ease of lookup + polycoefs = sparse(reshape(repmat(vtxset_sorted,num_monom,1),[],1),repmat(1:num_monom,1,num_vtx),polycoefs,mmesh.nvert,num_monom); +end + diff --git a/matlab/external/gptoolbox/mesh/vv.m b/matlab/external/gptoolbox/mesh/vv.m new file mode 100644 index 0000000..31ae6f1 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/vv.m @@ -0,0 +1,34 @@ +function [VV] = vv(V,F) +% VV Compute the Vertex-Vertex topology of a manifold mesh +% +% [VV] = vv(V,F) +% +% Input: +% V vertex coordinates, Vx3 +% F triangles , Fx3 +% Output: +% VV sparse matrix that contains a 1 in the i-j element if vertices i and j +% are connected by edge + +%% prepare sparse matrix +i = ones(10*size(V,1),1); +j = ones(10*size(V,1),1); +v = zeros(10*size(V,1),1); + +row = 1; + +for x=1:size(F,1) % for every face + for y1=1:3 % for every pair of neighbours + for y2=1:3 + if (y1 ~= y2) + i(row) = F(x,y1); + j(row) = F(x,y2); + v(row) = 1; + row = row + 1; + end + end + end +end + +VV = sparse(i,j,v); +end diff --git a/matlab/external/gptoolbox/mesh/wachspress_laplacian.m b/matlab/external/gptoolbox/mesh/wachspress_laplacian.m new file mode 100644 index 0000000..635fa0d --- /dev/null +++ b/matlab/external/gptoolbox/mesh/wachspress_laplacian.m @@ -0,0 +1,54 @@ +function L = wachspress_laplacian(V,F) + % WACHSPRESS_LAPLACIAN Discrete laplacian using wachspress weights. + % + % L = wachspress_laplacian(V,F) + % + % Inputs: + % V #V x dim matrix of vertex coordinates + % F #F x 3 matrix of indices of triangle corners + % Outputs: + % L sparse #V x #V matrix of wachspress weights + % + % See also: cotmatrix, cotmatrix_intrinsic + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch), Denis Zorin + % + + % number of vertices + n = size(V,1); + + % edge lengths numbered same as opposite vertices + l = [ ... + sqrt(sum((V(F(:,2),:)-V(F(:,3),:)).^2,2)) ... + sqrt(sum((V(F(:,3),:)-V(F(:,1),:)).^2,2)) ... + sqrt(sum((V(F(:,1),:)-V(F(:,2),:)).^2,2)) ... + ]; + + % renaming indices of vertices of triangles for convenience + i1 = F(:,1); i2 = F(:,2); i3 = F(:,3); + l1 = l(:,1); l2 = l(:,2); l3 = l(:,3); + % semiperimeters + s = (l1 + l2 + l3)*0.5; + % Heron's formula for area + dblA = 2*sqrt( s.*(s-l1).*(s-l2).*(s-l3)); + % cotangents and diagonal entries for element matrices + % Note: same as cotmatrix but divide by edge lengths + % correctly divided by 4 (alec 2010) + cot12 = ((l1.^2 + l2.^2 -l3.^2)./dblA/4)./(l3.^2); + cot23 = ((l2.^2 + l3.^2 -l1.^2)./dblA/4)./(l1.^2); + cot31 = ((l1.^2 + l3.^2 -l2.^2)./dblA/4)./(l2.^2); + % diag entries computed from the condition that rows of the matrix sum up to 1 + % (follows from the element matrix formula E_{ij} = (v_i dot v_j)/4/A ) + diag1 = (-cot12-cot31); + diag2 = (-cot12-cot23); + diag3 = (-cot31-cot23); + % indices of nonzero elements in the matrix for sparse() constructor + i = [i1 i2 i2 i3 i3 i1 i1 i2 i3]; + j = [i2 i1 i3 i2 i1 i3 i1 i2 i3]; + % values corresponding to pairs form (i,j) + v = [cot12 cot12 cot23 cot23 cot31 cot31 diag1 diag2 diag3]; + % for repeated indices (i,j) sparse automatically sums up elements, as we want + L = sparse(i,j,v,n,n); + +end + diff --git a/matlab/external/gptoolbox/mesh/wedding_cake.m b/matlab/external/gptoolbox/mesh/wedding_cake.m new file mode 100644 index 0000000..5ff7693 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/wedding_cake.m @@ -0,0 +1,96 @@ +function [V,F] = wedding_cake(P,E,h) + % WEDDING_CAKE Generate a "wedding cake" mesh from a curve and a list of + % heights. + % + % [V,F] = wedding_cake(P,E,h) + % + % Inputs: + % P #h list of #P{i} by 2 list of positions + % E #h list of #E{i} by 3 list of edge indices into P{i} + % h #h list of level heights + % Outputs: + % V #V by 3 list of mesh vertex positions + % F #F by 3 list of triangle mesh indices + % + + assert(numel(P) == numel(E)); + assert(numel(P) == numel(h)); + % Loop over curves + % running mesh + V = []; + F = []; + tot_h = 0; + for v = 1:numel(P)+1 + if v<=numel(P) + vP = P{v}; + vE = E{v}; + else + vP = []; + vE = []; + end + if v ~= 1 + prevP = P{v-1}; + prevE = E{v-1}; + prevI = size(V,1)-2*size(prevP,1)+(1:size(prevP,1)); + else + prevP = []; + prevE = []; + prevI = []; + end + + %F = [F;size(V,1)-size(prevP,1)+BF]; + if v<=numel(P) + % wall + plot_edges(vP,vE); + [vV,vF] = extrude(vP,vE); + vV = bsxfun(@times,[1 1 h(v)],vV); + vV = bsxfun(@plus,[0 0 tot_h],vV); + tot_h = tot_h + h(v); + % tsurf(vF,vV) + % statistics(vV,vF,'Fast',true) + % input(num2str(v)); + % append + F = [F;size(V,1)+vF]; + vI = size(V,1)+size(vP,1)+(1:size(vP,1)); + V = [V;vV]; + end + + % base or level with previous layer + BP = [prevP;vP]; + I = [prevI vI]; + BE = [prevE;size(prevP,1)+vE]; + [BV,BF] = triangle(BP,BE,[],'Flags','-YY','Quiet'); + % Assumes we've already dealt with self-intersections in curves + assert(size(BV,1) == size(BP,1)); + % absolute value is a little unsafe here + w = abs(winding_number(BP,BE,barycenter(BV,BF))); + % Once inside + BF = BF(w>0.5 & w<1.5,:); + % If BV == BP, then this is unnecessary + %[BV,I] = remove_unreferenced(BV,BF); + %BF = I(BF); + % flip bottom layer + if v == 1 + BF = fliplr(BF); + end + % remap and append + F = [F;I(BF)]; + assert(~any(isnan(V(:)))) + end + + % cleanup + [V,~,I] = remove_duplicate_vertices(V,1e-9); + F = I(F); + + %V = [AV;BV]; + %F = [AF;size(AV,1)+BF]; + + % [V,F] = triangle(V,O,[],'Flags',sprintf('-q -a%g',max_area)); + % w = winding_number(S,E,barycenter(V,F))/(2*pi); + % F = F(w>0.5,:); + % [V,I] = remove_unreferenced(V,F); + % F = I(F); + + %end + +end diff --git a/matlab/external/gptoolbox/mesh/writeBB.m b/matlab/external/gptoolbox/mesh/writeBB.m new file mode 100644 index 0000000..927bfab --- /dev/null +++ b/matlab/external/gptoolbox/mesh/writeBB.m @@ -0,0 +1,21 @@ +function writeBB(filename,D,type) + % WRITEBB write medit data file + % + % writeBB(filename,D,type) + % + % Inputs: + % filename path to *.bb file + % D #D by dim data matrix + % type type identifier as per + % http://www.ann.jussieu.fr/frey/publications/RT-0253.pdf page 34 + % 2 means defined at vertices + % 1 means defined at elements + + f = fopen(filename,'w'); + % print header + % only vector data is supported + fprintf(f,'%d %d %d %d\n',2,1,size(D,1),type); + fprintf(f,'%g\n',D'); + fclose(f); + +end diff --git a/matlab/external/gptoolbox/mesh/writeBDL.m b/matlab/external/gptoolbox/mesh/writeBDL.m new file mode 100644 index 0000000..943c584 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/writeBDL.m @@ -0,0 +1,98 @@ +function writeBDL(filename,V,F) + % WRITEBDL Write a mesh to a .bdl file + % + % writeBDL(filename,V,F) + % + % Inputs: + % filename path to .bdl file + % V #V by dim list of mesh vertices + % F #F by 3 list of triangle indices + + function headerStart = writeBDLChunkHeader(fp, chunktype, nBytes) + % writes chunk header into file stream + % + % Usage: + % headerStart = writeChunkHeader( fp, chunktype, nBytes ) + switch chunktype + case 'MESH_CHUNK' + magicID = 1; + case 'MESH_GROUP' + magicID = 2; + otherwise + magicID = 0; + end + + headerStart = ftell(fp); + fwrite(fp, magicID, 'uint32'); + fwrite(fp, nBytes, 'int64'); + end + + function bundle = writeBDLMeshChunk(fp, mesh) + % write a mesh chunk to a file stream that can be processed by the external + % viewer. + % + % Usage: + % writeMeshChunk( fp, mesh ) + % + % mesh fields: + % V (required) vertices + % F faces + % col colors + % baseColor a single color for the whole mesh + % UV uv coords + + + [nV, nCperPos] = size(mesh.V); + + hasFaces = isfield(mesh,'F'); + if ( hasFaces ) + [nF, nVperFace] = size(mesh.F); + else + nF = 0; nVperFace = mesh.nVperFace; + end + + nCperCol = 0; + if isfield(mesh,'col') nCperCol = size(mesh.col,2); end + + baseColor = [1,1,1,1]; + if isfield(mesh,'baseColor') baseColor = mesh.baseColor; end + + nCperUV = 0; + if isfield(mesh,'UV') nCperUV = size(mesh.UV,2); end + + nCperNormal = 0; + strip = 0; + + headerStart = writeBDLChunkHeader(fp, 'MESH_CHUNK', 0); % chunk size filled in later + chunkStart = ftell(fp); + + fwrite(fp, nV, 'uint32'); + fwrite(fp, nF, 'uint32'); + fwrite(fp, nVperFace, 'uint32'); + fwrite(fp, nCperPos, 'uint32'); + fwrite(fp, nCperUV, 'uint32'); + fwrite(fp, nCperCol, 'uint32'); + fwrite(fp, nCperNormal, 'uint32'); + + fwrite(fp, strip, 'uchar'); + fwrite(fp, baseColor, 'float32'); + + fwrite(fp, mesh.V', 'float32'); + if isfield(mesh,'UV') fwrite(fp, mesh.UV', 'float32'); end + if isfield(mesh,'col') fwrite(fp, mesh.col', 'float32'); end + if isfield(mesh,'F') fwrite(fp, mesh.F'-1, 'uint32'); % faces are 1-based in matlab + + chunkSize = ftell(fp) - chunkStart; + + fseek(fp, headerStart, 'bof'); + writeBDLChunkHeader(fp, 'MESH_CHUNK', chunkSize); + fseek(fp,0,'eof'); + + end + + mesh.V = V; + mesh.F = F; + fp = fopen(filename,'w'); + writeBDLMeshChunk(fp,mesh); + fclose(fp); +end diff --git a/matlab/external/gptoolbox/mesh/writeELE.m b/matlab/external/gptoolbox/mesh/writeELE.m new file mode 100644 index 0000000..7109419 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/writeELE.m @@ -0,0 +1,55 @@ +function writeELE(filename,E,varargin) + % WRITEELE Write mesh elements to a .ele file + % + % writeELE(filename,E) + % writeELE(filename,E,'ParameterName',ParameterValue) + % + % Inputs: + % filename name of output file + % E list of elements + % Optional: + % 'MinIndex' followed by minimum index {1} (You should remember to + % actually change E to have that minimum index) + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + + % default parameters + min_index = 1; + + ii = 1; + while ii <= numel(varargin) + switch varargin{ii} + case 'MinIndex' + assert((ii+1)<=numel(varargin)); + ii = ii + 1; + min_index = varargin{ii}; + otherwise + error('Unsupported parameter: %s',varargin{ii}); + end + ii = ii+1; + end + + if min(E(:)) < min_index + % should never be OK but let it write anyway + warning(sprintf('Min(E) = %d < min_index (%d)',min(E(:)),min_index)); + else if min_index < min(E(:)) + % Could be OK because min_index might just be unreferenced + warning(sprintf('Min(E) = %d > min_index (%d)',min(E(:)),min_index)); + end + + fp = fopen(filename,'w'); + % attributes are not supported + % number of edges number of elements 0 0 + fprintf(fp,'%d %d 0\n',size(E)); + % .node is 1-indexed + indices = (1:size(E,1)) + (min_index-1); + % build format string + str = '%d'; + for(ii = 1:size(E,2)) + str = [str ' %d']; + end + str = [str '\n']; + fprintf(fp,str,[indices', E]'); + fclose(fp); +end diff --git a/matlab/external/gptoolbox/mesh/writeMESH.m b/matlab/external/gptoolbox/mesh/writeMESH.m new file mode 100644 index 0000000..85ed7eb --- /dev/null +++ b/matlab/external/gptoolbox/mesh/writeMESH.m @@ -0,0 +1,69 @@ +function writeMESH( filename, V,T,F,E) + % WRITEMESH writes an MESH file with vertex/face/tet information + % + % writeMESH(filename,V,T,F) + % writeMESH(filename,V,T,F,E) + % + % Input: + % filename path to .mesh file + % V #V by 3 list of vertices + % T #T by 4|5 list of tet indices (additional column is color index) + % F #F by 3|4 list of triangle indices (additional column is color index) + % Optional: + % E #E by 2|3 list of edge indices (additional column is color index) + % + % See also readMESH + % + if ~exist('E','var') + E = []; + end + + %disp(['writing: ',filename]); + fp = fopen(filename,'w'); + % mandatory header info + fprintf(fp,'MeshVersionFormatted 1\n'); + fprintf(fp,'Dimension 3\n'); + % vertices header + fprintf(fp,'Vertices\n'); + % number of vertices + fprintf(fp,'%d\n',size(V,1)); + % vertex positions + fprintf(fp,'%0.15g %0.15g %0.15g 0\n',V'); + % triangles header + fprintf(fp,'Triangles\n'); + % number of triangles + fprintf(fp,'%d\n',size(F,1)); + if size(F,2) == 4 + % triangle indices + color reference + fprintf(fp,'%d %d %d %d\n',F'); + else + % triangle indices + fprintf(fp,'%d %d %d 0\n',F'); + end + % tetrahedra header + fprintf(fp,'Tetrahedra\n'); + % number of tetrahedra + fprintf(fp,'%d\n',size(T,1)); + if size(T,2) == 5 + % tetrahedra indices + fprintf(fp,'%d %d %d %d %d\n',T'); + else + % tetrahedra indices + fprintf(fp,'%d %d %d %d 0\n',T'); + end + % tetrahedra header + fprintf(fp,'Edges\n'); + % number of tetrahedra + fprintf(fp,'%d\n',size(E,1)); + if size(E,2) == 3 + % edge indices + fprintf(fp,'%d %d %d\n',E'); + else + % edge indices + fprintf(fp,'%d %d 0\n',E'); + end + % end + fprintf(fp,'End'); + fclose(fp); +end + diff --git a/matlab/external/gptoolbox/mesh/writeMSH.m b/matlab/external/gptoolbox/mesh/writeMSH.m new file mode 100644 index 0000000..8d1059c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/writeMSH.m @@ -0,0 +1,35 @@ +function writeMSH(filename,V,T,F) + % WRITEMSH write a tet mesh to gmsh's .msh file format + % + % writeMSH(filename,V,T,F) + % + % Inputs: + % V #V by dim=3 list of vertex positions + % T #T by 4 list of tet indices + % F #F by 3 list of triangle indices + + %disp(['writing: ',filename]); + fp = fopen(filename,'w'); + % Write header + fprintf(fp,'$MeshFormat\n'); + % http://www.manpagez.com/info/gmsh/gmsh-2.2.2/gmsh_63.php + fprintf(fp,'%d %d %d\n',2,0,8); + fprintf(fp,'$EndMeshFormat\n'); + % write nodes + fprintf(fp,'$Nodes\n'); + fprintf(fp,'%d\n',size(V,1)); + fprintf(fp,'%d %0.17g %0.17g %0.17g\n',[1:size(V,1);V']); + fprintf(fp,'$EndNodes\n'); + % write elements + fprintf(fp,'$Elements\n'); + fprintf(fp,'%d\n',size(T,1)+size(F,1)); + % write tets + if ~isempty(T) + fprintf(fp,'%d 4 2 0 1 %d %d %d %d\n',[1:size(T,1);T']); + end + if ~isempty(F) + fprintf(fp,'%d 2 2 0 1 %d %d %d\n',[size(T,1)+(1:size(F,1));F']); + end + fprintf(fp,'$EndElements\n'); + fclose(fp); +end diff --git a/matlab/external/gptoolbox/mesh/writeNODE.m b/matlab/external/gptoolbox/mesh/writeNODE.m new file mode 100644 index 0000000..508c66a --- /dev/null +++ b/matlab/external/gptoolbox/mesh/writeNODE.m @@ -0,0 +1,47 @@ +function writeNODE(filename,V,varargin) + % WRITENODE Write vertex positions to a .node file + % + % writeNODE(filename,V) + % writeNODE(filename,V,'ParameterName',ParameterValue) + % + % Inputs: + % filename name of output file + % V list of vertex positions + % Optional: + % 'MinIndex' followed by minimum index {1} + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + + % default parameters + min_index = 1; + + ii = 1; + while ii <= numel(varargin) + switch varargin{ii} + case 'MinIndex' + assert((ii+1)<=numel(varargin)); + ii = ii + 1; + min_index = varargin{ii}; + otherwise + error('Unsupported parameter: %s',varargin{ii}); + end + ii = ii+1; + end + + fp = fopen(filename,'w'); + % attributes are not supported + % number of vertices number of dimensions 0 0 + fprintf(fp,'%d %d 0 1\n',size(V)); + % .node is 1-indexed + % build format string + str = '%d'; + for(ii = 1:size(V,2)) + % use 0.16f so that triangle reproduces input + str = [str ' %0.16f']; + end + str = [str ' 0\n']; + indices = (1:size(V,1)) + (min_index-1); + fprintf(fp,str,[indices' , V]'); + fclose(fp); +end diff --git a/matlab/external/gptoolbox/mesh/writeOBJ.m b/matlab/external/gptoolbox/mesh/writeOBJ.m new file mode 100644 index 0000000..6ca3bb0 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/writeOBJ.m @@ -0,0 +1,73 @@ +function writeOBJ(filename, V,F,UV,TF,N,NF) + % WRITEOBJ writes an OBJ file with vertex/face information + % + % writeOBJ(filename,V,F,UV,N) + % + % Input: + % filename path to .obj file + % V #V by 3 list of vertices + % F #F by 3 list of triangle indices + % UV #UV by 2 list of texture coordinates + % TF #TF by 3 list of corner texture indices into UV + % N #N by 3 list of normals + % NF #NF by 3 list of corner normal indices into N + % + +%disp(['writing: ',filename]); +f = fopen( filename, 'w' ); + + +if size(V,2) == 2 + warning('Appending 0s as z-coordinate'); + V(:,end+1:3) = 0; +else + assert(size(V,2) == 3); +end +fprintf( f, 'v %0.17g %0.17g %0.17g\n', V'); + +hasN = exist('N','var') && ~isempty(N); +hasUV = exist('UV','var') && ~isempty(UV); + +if hasUV + switch size(UV,2) + case 2 + fprintf( f, 'vt %0.17g %0.17g\n', UV'); + case 3 + fprintf( f, 'vt %0.17g %0.17g %0.17g\n', UV'); + end +end + +if hasN + %for k=1:size(N,1) + % fprintf( f, 'vn %f %f %f\n', N(k,1), N(k,2), N(k,3) ); + %end + fprintf( f, 'vn %0.17g %0.17g %0.17g\n', N'); +end + +if hasUV && (~exist('TF','var') || isempty(TF)) + TF = F; +end +if hasN && (~exist('NF','var') || isempty(NF)) + NF = F; +end + +for k=1:size(F,1) + if ( (~hasN) && (~hasUV) ) || (any(TF(k,:)<=0,2) && any(NF(k,:)<=0,2)) + fmt = repmat(' %d',1,size(F,2)); + fprintf( f,['f' fmt '\n'], F(k,:)); + elseif ( hasUV && (~hasN || any(NF(k,:)<=0,2))) + fmt = repmat(' %d/%d',1,size(F,2)); + fprintf( f, ['f' fmt '\n'], [F(k,:);TF(k,:)]); + elseif ( (hasN) && (~hasUV || any(TF(k,:)<=0,2))) + fmt = repmat(' %d//%d',1,size(F,2)); + fprintf( f, ['f' fmt '\n'],[F(k,:);TF(k,:)]'); + elseif ( (hasN) && (hasUV) ) + assert(all(NF(k,:)>0)); + assert(all(TF(k,:)>0)); + fmt = repmat(' %d/%d/%d',1,size(F,2)); + fprintf( f, ['f' fmt '\n'],[F(k,:);TF(k,:);NF(k,:)]); + end +end + + +fclose(f); diff --git a/matlab/external/gptoolbox/mesh/writeOFF.m b/matlab/external/gptoolbox/mesh/writeOFF.m new file mode 100644 index 0000000..c6c62b2 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/writeOFF.m @@ -0,0 +1,68 @@ +function writeOFF(filename, V,F,UV,C,N) + % WRITEOFF writes an OFF file with vertex/face information + % + % writeOFF(filename,V,F) + % writeOFF(filename,V,F,UV,C,N) + % + % Input: + % filename path to .obj file + % V #V by 3 list of vertices + % F #F by 3 list of triangle indices + % UV #V by 2 list of texture coordinates + % C #V by 3 list of colors + % N #V by 3 list of normals + +%disp(['writing: ',filename]); + +hasN = exist('N','var') && ~isempty(N); +hasUV = exist('UV','var') && ~isempty(UV); +hasC = exist('C','var') && ~isempty(C); + +OFFheader = 'OFF'; + +OFFV = V; + +if hasN + OFFheader = ['N',OFFheader]; + OFFV = [OFFV N]; +end + +if hasC + OFFheader = ['C',OFFheader]; + OFFV = [OFFV C]; +end + +if hasUV + OFFheader = ['ST',OFFheader]; + OFFV = [OFFV UV]; +end + +f = fopen( filename, 'wt' ); +fprintf(f, [OFFheader,'\n']); +fprintf(f, '%d %d 0\n', size(V,1), size(F, 1)); + +switch size(OFFV, 2) + case 3; fprintf(f, '%0.17g %0.17g %0.17g\n', OFFV'); + case 5; fprintf(f, '%0.17g %0.17g %0.17g %0.17g %0.17g\n', OFFV'); + case 6; fprintf(f, '%0.17g %0.17g %0.17g %0.17g %0.17g %0.17g\n', OFFV'); + case 7; fprintf(f, '%0.17g %0.17g %0.17g %0.17g %0.17g %0.17g %0.17g\n', OFFV'); + case 8; fprintf(f, '%0.17g %0.17g %0.17g %0.17g %0.17g %0.17g %0.17g %0.17g\n', OFFV'); + case 9; fprintf(f, '%0.17g %0.17g %0.17g %0.17g %0.17g %0.17g %0.17g %0.17g %0.17g\n', OFFV'); + case 10; fprintf(f, '%0.17g %0.17g %0.17g %0.17g %0.17g %0.17g %0.17g %0.17g %0.17g %0.17g\n', OFFV'); + case 11; fprintf(f, '%0.17g %0.17g %0.17g %0.17g %0.17g %0.17g %0.17g %0.17g %0.17g %0.17g %0.17g\n', OFFV'); + otherwise; error('Unsupported number of vertex entries'); +end + +if (~isempty(F)) F; F = F - 1; end + +switch size(F, 2) + case 0; + case 1; fprintf( f, '1 %d\n', F'); + case 2; fprintf( f, '2 %d %d\n', F'); + case 3; fprintf( f, '3 %d %d %d\n', F'); + case 4; fprintf( f, '4 %d %d %d %d\n', F'); + case 5; fprintf( f, '5 %d %d %d %d %d\n', F'); + otherwise; error('Unsupported number of vertex entries'); +end + +fclose(f); diff --git a/matlab/external/gptoolbox/mesh/writePLY.m b/matlab/external/gptoolbox/mesh/writePLY.m new file mode 100644 index 0000000..5e4d451 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/writePLY.m @@ -0,0 +1,53 @@ +function writePLY(filename,V,F,mode) + % WRITEPLY wrapper for write_ply + % + % Inputs: + % filename path to output .ply file + % V #V by 3 list of mesh vertex positions + % F #F by 3 list of mesh triangle indices + % mode followed by + % 'ascii' ASCII text data + % {'binary_little_endian'} binary data, little endian + % 'binary_big_endian' binary data, big endian + % + % + + if nargin < 4 + mode = 'binary_little_endian'; + end + + fid = fopen(filename,'wt'); + fprintf(fid,'ply\nformat %s 1.0\n',mode); + fprintf(fid,'element vertex %d\n',size(V,1)); + fprintf(fid,'property double x\n'); + fprintf(fid,'property double y\n'); + fprintf(fid,'property double z\n'); + fprintf(fid,'element face %d\n',size(F,1)); + fprintf(fid,'property list int int vertex_indices\n'); + fprintf(fid,'end_header\n'); + FF = [size(F,2)*ones(size(F,1),1) F-1]; + switch mode + case 'ascii' + % do nothing + fprintf(fid,'%0.17f %0.17f %0.17f\n',V'); + format = [repmat('%d ',1,size(FF,2)) '\n']; + fprintf(fid,format,FF'); + case {'binary_little_endian','binary_big_endian'} + fclose(fid); + switch mode + case 'binary_little_endian' + fid = fopen(filename,'a','ieee-le'); + case 'binary_big_endian' + fid = fopen(filename,'a','ieee-be'); + end + fwrite(fid,V','double'); + fwrite(fid,FF','int'); + otherwise + error('Unsupported format: %s',mode); + end + fclose(fid); + + %% OLD 200x slower way (possible to produce slightly smaller files and control + %% over precision) + %write_ply(V,F,filename,mode); +end diff --git a/matlab/external/gptoolbox/mesh/writePOLY_pyramid.m b/matlab/external/gptoolbox/mesh/writePOLY_pyramid.m new file mode 100644 index 0000000..2d907aa --- /dev/null +++ b/matlab/external/gptoolbox/mesh/writePOLY_pyramid.m @@ -0,0 +1,105 @@ +function writePOLY_pyramid(poly_file_name,V,E,F,H) + % WRITEPOLY_PYRAMID prints vertices, segments and facets to a .poly suitable + % for use with PYRAMID + % + % writePOLY_pyramid(poly_file_name,V,E,F,H) + % + % Inputs: + % V #V by dim=3 list of vertex positions + % E #E by 2+boundary_markers list of segment indices, indexing V, and + % optional boundary markers + % F #F struct containing polygon information arrays + % .facets a #facets list of facets, each facet is a polygon + % **NOTE: facets index E *not* V, contrary to typical (V,F) meshes and + % contrary to writePOLY_tetgen prototype + % .boundary_markers a #facets list of boundary_markers + % OR + % F #F by constant-degree+boundary_markers list of facets + % + % Example: + % % Mesh in (V,F) + % % Gather all edges + % E = [F(:,[2 3]);F(:,[3 1]);F(:,[1 2])]; + % [~,IE,IuE] = unique(sort(E,2),'rows'); + % % unique edges + % uE = E(IE,:); + % % reindex F into E + % FinE = reshape(IuE,size(F)); + % Facets = []; + % Facets.facets = mat2cell(FinE,ones(size(FinE,1),1),[3]); + % Facets.boundary_marker = -ones(size(FinE,1),1); + % writePOLY_pyramid(path,V,uE,Facets,[]); + % + % See also: cdt, tetgen, writePOLY_triangle, writePOLY_tetgen + % + % + + % open file for writing + poly_file_handle = fopen(poly_file_name,'w'); + + dim = size(V,2); + + + if dim ~= 3 + error('writePOLY_pyramid is for 3d meshes. Try writePOLY_triangle etc.'); + end + + % vertices section + fprintf(poly_file_handle,'# Part 1 - node list\n'); + format = '%d %.17g %.17g %.17g\n'; + fprintf(poly_file_handle,'%d %d 0 0\n', size(V,1),size(V,2)); + if ~isempty(V) + fprintf(poly_file_handle,format,[1:size(V,1);V']); + end + + fprintf(poly_file_handle,'# Part 2 - segment list\n'); + fprintf(poly_file_handle,'%d %d\n',size(E,1),size(E,2)-2); + format = ['%d %d %d' repmat(' %d',1,size(E,2)-2) '\n']; + fprintf(poly_file_handle,format, [1:size(E,1);E']); + + fprintf(poly_file_handle,'# Part 2 - facet list\n'); + % for now, always include boundary markers + % [num facets] [boundary markers] + assert(isempty(F) || isempty(F.facets) || iscell(F.facets)); + if isempty(F) + fprintf(poly_file_handle,'0\n'); + else + fprintf(poly_file_handle,'%d %d\n',numel(F.facets),~isempty(F.boundary_marker)); + fs = cell2mat(cellfun(@size,F.facets,'UniformOutput',false)); + % Try to print all at once if facets are all the same size + if ~isempty(fs) && all(fs(:,1) == 1) && all(fs(:,2) == fs(1,2)) + % build format + fformat = [ ... + ... % index and size + '%d ' num2str(fs(1,2)) ... + ... % facet indices into segments + repmat(' %d',1,fs(1,2)) ... + ... % boundary markers + repmat(' %d',1,size(F.boundary_marker,2)) '\n']; + % print all at once + fprintf(poly_file_handle,fformat, ... + [1:size(F.facets,1);[cell2mat(F.facets) F.boundary_marker]']); + else + % irregular face valences + for f=1:numel(F.facets) + % 1d list + assert(size(F.facets{f},1)==1 || size(F.facets{f},2) == 1); + fprintf('%d %d',f, numel(F.facets{f})); + % print indices + for p=1:numel(F.facets{f}) + fprintf(poly_file_handle,' %d',F.facets{f}(p)); + end + fprintf(poly_file_handle,'\n'); + end + end + end + + % [num holes] + fprintf(poly_file_handle,'# Part 3 - hole list\n'); + fprintf(poly_file_handle,'%d\n',size(H,1)); + if ~isempty(H) + assert(isempty(V) || size(H,2) == size(V,2)); + fprintf(poly_file_handle,'%0.17g %0.17g %0.17g\n',[1:size(H,1);H']); + end + +end diff --git a/matlab/external/gptoolbox/mesh/writePOLY_tetgen.m b/matlab/external/gptoolbox/mesh/writePOLY_tetgen.m new file mode 100644 index 0000000..99281f3 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/writePOLY_tetgen.m @@ -0,0 +1,138 @@ +function writePOLY_tetgen(poly_file_name,V,F,H,varargin) + % WRITEPOLY_TETGEN prints vertices and planar facets to a .poly file for + % tetgen + % + % writePOLY_tetgen(poly_file_name,V,F,H) + % + % Input + % poly_file_name: name of output file as string (caution! will clobber + % existing) + % V #V by dim list of vertex positions + % F #F struct containing polygon information arrays + % .facets a #facets list of facets, each facet is a again a list of + % polygons + % ** Note: contrary to writePOLY_pyramid, here facets index V directly + % .boundary_markers a #facets list of boundary_markers + % .holes a #facets list of holes, each holes entry is again a list for + % each facet + % or + % F #F by uniform_facet_size list of facets into V + % H #H by dim list of volume hole positions + % Optional: + % 'BoundaryMarkers' followed by #facets list of boundary markers + % + % + % Example: + % % constrained Delaunay tetrahedralization of a triangle mesh + % [V,F] = load_mesh('gargoyle.obj'); + % % constrained Delaunay tetrahedralization of just points + % D = DelaunayTri(V); + % % Faces on boundary of convex hull + % BF = boundary_faces(D.Triangulation); + % % avoid dupicate faces + % FmBF = setdiff(sort(F,2),sort(BF,2),'rows'); + % Facets = []; + % Facets.facets = mat2cell([BF;FmBF],ones(size(BF,1)+size(FmBF,1),1),[3]); + % Facets.boundary_marker = [ones(size(BF,1),1);-ones(size(FmBF,1),1)]; + % Facets.holes = cell(numel(Facets.facets),1); + % writePOLY_tetgen('temp.poly',V,Facets,[]); + % % -p: we're giving PLC, -g: output .mesh, -Y: no steiners + % !/usr/local/bin/tetgen -pgY ~/Documents/volume/temp.poly + % [VV,TT,FF] = readMESH('temp.1.mesh'); + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also: cdt, tetgen, writePOLY_triangle, writePOLY_pyramid + % + + v = 1; + BM = []; + while v <= numel(varargin) + switch varargin{v} + case 'BoundaryMarkers' + assert((v+1)<=numel(varargin)); + v = v+1; + BM = varargin{v}; + otherwise + error(['Unsupported parameter: ' varargin{v}]); + end + v=v+1; + end + + % open file for writing + poly_file_handle = fopen(poly_file_name,'w'); + + % dimensions in V, should be 3 + dim = size(V,2); + if isempty(V) + dim == 3; + end + + if dim ~= 3 + error('writePOLY_tetgen is for 3d meshes. Try writePOLY_triangle etc.'); + end + + % vertices section + fprintf(poly_file_handle,'# vertices\n'); + format = '%d %.17g %.17g %.17g\n'; + + fprintf(poly_file_handle,'# Part 1 - node list\n'); + fprintf(poly_file_handle,'%d %d 0 0\n', size(V,1),size(V,2)); + if ~isempty(V) + fprintf(poly_file_handle,format,[1:size(V,1);V']); + end + + fprintf(poly_file_handle,'# Part 2 - facet list\n'); + % Try to print all at once if facets are all the same size + if ~isstruct(F) + fprintf(poly_file_handle,'%d %d\n',size(F,1),~isempty(BM)); + assert(numel(BM)==size(F,1) || isempty(BM)); + % build format + fformat = ['1 0']; + if ~isempty(BM) + fformat = [fformat ' %d']; + end + fformat = [fformat '\n ' num2str(size(F,2))]; + for p=1:size(F,2) + fformat = [fformat ' %d']; + end + fformat = [fformat '\n']; + % print all at once + fprintf(poly_file_handle,fformat,[BM F]'); + else + fprintf(poly_file_handle,'%d %d\n',numel(F.facets),1); + % irregular face valences + for f=1:numel(F.facets) + % [num polygons] [num holes] [boundary marker] + fprintf(poly_file_handle,'%d %d %d\n', ... + numel(F.facets{f}),size(F.holes{f},1),F.boundary_marker(f)); + % loop over polygons + for p=1:numel(F.facets{f}) + % [num corners] [corner 1] [corner 2] ... + fprintf(poly_file_handle,' %d',numel(F.facets{f}{p})); + fprintf(poly_file_handle,' %d',F.facets{f}{p}); + fprintf(poly_file_handle,'\n'); + end + % [hole #] [hole x] [hole y] [hole z] + if ~isempty(F.holes{f}) + assert(size(F.holes{f},2) == size(V,2)); + fprintf(poly_file_handle,format,[1:size(F.holes{f},1);F.holes{f}']); + end + end + end + + % [num holes] + fprintf(poly_file_handle,'# Part 3 - hole list\n'); + fprintf(poly_file_handle,'%d\n',size(H,1)); + if ~isempty(H) + assert(isempty(V) || size(H,2) == size(V,2)); + fprintf(poly_file_handle,format,[1:size(H,1);H']); + end + % not supported + fprintf(poly_file_handle,'# Part 4 - region list\n'); + fprintf(poly_file_handle,'0\n'); + + fprintf(poly_file_handle,'\n'); + fclose(poly_file_handle); +end + diff --git a/matlab/external/gptoolbox/mesh/writePOLY_triangle.m b/matlab/external/gptoolbox/mesh/writePOLY_triangle.m new file mode 100644 index 0000000..dd83825 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/writePOLY_triangle.m @@ -0,0 +1,106 @@ +function writePOLY_triangle(varargin) + % WRITEPOLY_TRIANGLE prints a vertices to a .poly file, with E connecting + % those vertices OR triangels made from F. Suitable for use with TRIANGLE + % + % writePOLY_triangle(poly_file_name,poly_struct) + % writePOLY_triangle(poly_file_name,V,E,H) + % + % Input + % poly_file_name: name of output file as string (caution! will clobber + % existing) + % poly: struct array where each element contains fields: + % x,y,hole + % OR + % V #V by dim=2 list of vertex positions + % E #E by 2 list of edges E + % H #H by dim list of hole positions + % OR + % V #V by dim list of vertex positions + % F #F struct containing polygon information arrays + % .facets a #facets list of facets, each facet is a again a list of + % polygons (currently all polygons of a facet must be same valence) + % .boundary_markers a #facets list of boundary_markers + % .holes a #facets list of holes, each holes entry is again a list for + % each facet + % H #H by dim list of hole positions + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also: png2objandtga, png2poly, writePOLY_tetgen + % + + if(nargin == 4) + poly_file_name = varargin{1}; + V = varargin{2}; + E = varargin{3}; + H = varargin{4}; + elseif(nargin == 2) + poly_file_name = varargin{1}; + poly = varargin{2}; + [V,E,H] = poly2VEH(poly); + else + error('Wrong number of inputs'); + end + % open file for writing + poly_file_handle = fopen(poly_file_name,'w'); + + % dimensions in V, should be 2: triangle format + dim = size(V,2); + if isempty(V) + if isstruct(E) + % min polygon size + ms = min(cell2mat(cellfun(@size,E.facets,'UniformOutput',false)),[],1); + dim = ms(2); + else + dim = size(E,2); + end + if isempty(E) + dim = 2; + end + end + + if dim ~= 2 + error('writePOLY_triangle is for 2d meshes. Try writePOLY_tetgen etc.'); + end + + % vertices section + format = '%d %.17g %.17g\n'; + + fprintf(poly_file_handle,'# Part 1 - node list\n'); + fprintf(poly_file_handle,'%d %d 0 0\n', size(V,1),size(V,2)); + if ~isempty(V) + fprintf(poly_file_handle,format,[1:size(V,1);V']); + end + % The following became convoluted because of ancient merge and unmerge with + % writePOLY_tetgen.m + if isstruct(E) + F = E; + else + F = []; + F.facets = mat2cell(E,ones(size(E,1),1),size(E,2)); + F.boundary_marker = ones(size(E,1),1); + F.holes = cell(numel(F.facets),1); + end + fprintf(poly_file_handle,'# Part 2 - facet list\n'); + % for now, always include boundary markers + % [num facets] [boundary markers] + assert(isempty(F.facets) || iscell(F.facets)); + fprintf(poly_file_handle,'%d %d\n',numel(F.facets),1); + % the triangle .poly format is slightly different + fprintf(poly_file_handle,'%d %d %d %d\n', ... + [1:numel(F.facets); [cell2mat(F.facets) F.boundary_marker]']); + % [num holes] + fprintf(poly_file_handle,'# Part 3 - hole list\n'); + fprintf(poly_file_handle,'%d\n',size(H,1)); + if ~isempty(H) + assert(isempty(V) || size(H,2) == size(V,2)); + fprintf(poly_file_handle,format,[1:size(H,1);H']); + end + % not supported + fprintf(poly_file_handle,'# Part 4 - region list\n'); + fprintf(poly_file_handle,'0\n'); + + fprintf(poly_file_handle,'\n'); + fclose(poly_file_handle); +end + diff --git a/matlab/external/gptoolbox/mesh/writeSEL.m b/matlab/external/gptoolbox/mesh/writeSEL.m new file mode 100644 index 0000000..7d6708c --- /dev/null +++ b/matlab/external/gptoolbox/mesh/writeSEL.m @@ -0,0 +1,25 @@ +function writeSEL(filename,S) + % writeSEL selection from .sel file (as used by Mario Botsch and Olga + % Sorkine in the accompanying data to their survey "On linear variational + % surface deformation methods" + % http://igl.ethz.ch/projects/deformation-survey/ + % + % Input: + % filename path to .sel file + % S #V list of ids: + % 0 fixed boundary (silver, completely fixed handle-region) + % 1 interior (blue, "solved-for", "free" region) + % 2 handle boundary (gold, re-arrangable handle-region) + % + % + + fp = fopen(filename,'w'); + % initial comments + fprintf(fp,'# per vertex status: 0=fixed, 1=deformable-region, 2=handle\n'); + fprintf(fp,'# %d vertices\n',numel(S)); + % remaining lines contain one integer per line + fprintf(fp,'%d\n',S(:)); + % clean up file + fclose(fp); +end + diff --git a/matlab/external/gptoolbox/mesh/writeSMF.m b/matlab/external/gptoolbox/mesh/writeSMF.m new file mode 100644 index 0000000..00c1be6 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/writeSMF.m @@ -0,0 +1,17 @@ +function writeSMF(filename,V,F) + % WRITESMF Write a mesh (V,F) to a .smf file. + % + % writeSMF(filename,V,F) + % + % Input: + % filename path to .obj file + % V #V by 3 list of vertices + % F #F by 3 list of triangle indices + % + % See also: writeOBJ.m + % + f = fopen( filename, 'w' ); + fprintf( f, 'v %0.17g %0.17g %0.17g\n', V'); + fprintf( f, 'f %d %d %d\n', F'); + fclose(f); +end diff --git a/matlab/external/gptoolbox/mesh/writeSTL.m b/matlab/external/gptoolbox/mesh/writeSTL.m new file mode 100644 index 0000000..c9dca88 --- /dev/null +++ b/matlab/external/gptoolbox/mesh/writeSTL.m @@ -0,0 +1,14 @@ +function writeSTL(filename, V,F) + % WRITESTL writes an STL file with vertex/face information. Uses single + % precision. + % + % writeSTL(filename,V,F) + % + % Input: + % filename path to .stl file + % V #V by 3 list of vertices (Default units are in mm) + % F #F by 3 list of triangle indices + % + stlwrite(filename,F,V); +end + diff --git a/matlab/external/gptoolbox/mesh/writeTGF.m b/matlab/external/gptoolbox/mesh/writeTGF.m new file mode 100644 index 0000000..c766fec --- /dev/null +++ b/matlab/external/gptoolbox/mesh/writeTGF.m @@ -0,0 +1,28 @@ +function writeTGF(filename,V,E) + % WRITETGF Write a graph to a .tgf file + % + % writeTGF(filename,V,E) + % + % Input: + % filename .tgf file name + % V # vertices by 3 list of vertex positions + % E # edges by 2 list of edge indices + % + % Assumes that graph vertices are 3 dimensional + + if( size(V,2) ~= 3) + % append zeros + V = [V 0*V(:,1)]; + end + %disp(['writing: ',filename]); + fp = fopen(filename,'w'); + % print vertices + fprintf(fp,'%d %g %g %g\n',[1:size(V,1); V']); + % print separator + fprintf(fp,'#\n'); + % print edges, .tgf is 1-indexed + if(~isempty(E)) + fprintf(fp,'%d %d\n',[E']); + end + fclose(fp); +end diff --git a/matlab/external/gptoolbox/mex/README.md b/matlab/external/gptoolbox/mex/README.md new file mode 100644 index 0000000..e5cc7fb --- /dev/null +++ b/matlab/external/gptoolbox/mex/README.md @@ -0,0 +1,86 @@ +This directory contains mex functions that must be _compiled_ before they can +be called from matlab. + +Typically the C++ code for function `myfunc` will be in a file called +`myfunc.cpp` and accompanied by a _blank_ file `myfunc.m`, which simply +contains comments explaining call usage of the function (so that `help myfunc` +returns something useful). + +## Compiling (mexing) + +I haven't invested too much time trying to be sure these functions compile +anywhere. They should. Why not? All compilers are perfectly standard, right? + +### Experimental + +I've tried to gather the compilation of all these mex functions into a script. +To attempt to compile all mex functions in this directory, issue: + + +```matlab +compile_gptoolbox_mex +``` + +I'll try to keep this up to date. We'll see how that goes. + +### One-by-one + +These mex functions do not depend on eachother, so if you just need a certain +function, you can compile it alone directly. + +Open `myfunc.cpp` and look for an example `mex` call in the header comments. +Something as simple as: + +```matlab +mex -o ray_mesh_intersect ray_mesh_intersect.cpp +``` + +or a more complicated call like + +```matlab +mex -v -largeArrayDims -DMEX ... + -I/usr/local/igl/libigl/include ... + -I/opt/local/include/eigen3 ... + -I/opt/local/include ... + -L/opt/local/lib ... + -lCGAL -lCGAL_Core -lgmp -lmpfr ... + -lboost_thread-mt -lboost_system-mt ... + -o signed_distance signed_distance.cpp +``` + +### Dependencies + +Some of these functions depend on: + + - c++11 + - VS2012 or newer (windows users only) + - Eigen + - libigl + - Embree + - Cork + - CGAL + - boost + - Mac OS X Foundation and AppKit frameworks + +### libigl + +Libigl is by default a _header only_ library. You do not need to compile it to +use it (though you do need to compile and link to any dependencies, e.g. CGAL). + +If you see a mex command _linking_ to libigl libraries (e.g. +`-L/usr/local/igl/libigl -ligl`, etc) you may safely remove these, so long as +you **also remove** any definition of the static library flag: +`-DIGL_STATIC_LIBRARY`. + + +### OpenMP + +OpenMP is _still_ not well supported by clang. I've configured my `mexopts.sh` +to use gcc4.7 (installed via macports) and enabled openmp via the `-fopenmp` +flag. Some of these mex files will utilize this if enabled. + +### Windows + +Currently, none of these mex functions are developed or even known to be +compilable on Windows. If you succeed, drop me a line. If you fail, I'll try to +help, but I do not have access to a windows machine. diff --git a/matlab/external/gptoolbox/mex/ambient_occlusion.cpp b/matlab/external/gptoolbox/mex/ambient_occlusion.cpp new file mode 100644 index 0000000..e83e074 --- /dev/null +++ b/matlab/external/gptoolbox/mex/ambient_occlusion.cpp @@ -0,0 +1,110 @@ +// +// mex -v -o ambient_occlusion -DMEX -largeArrayDims ... +// -I/opt/local/include/eigen3 -I/usr/local/igl/libigl/include ... +// -L/usr/local/igl/libigl/lib -ligl -liglmatlab -liglembree ... +// CXXFLAGS="\$CXXFLAGS -m64 -msse4.2 -fopenmp" ... +// -I/usr/local/igl/libigl/external/embree/include/ ... +// -I/usr/local/igl/libigl/external/embree/ ... +// -L/usr/local/igl/libigl/external/embree/build -lembree -lsys ... +// ambient_occlusion.cpp +// + +#include +#include +#include +#include +#include +#include +#include +#include +#include + +// Parse right hand side arguments for a matlab mex function. +// +// Inputs: +// nrhs number of right hand side arguments +// prhs pointer to right hand side arguments +// Outputs: +// V n by dim list of mesh vertex positions +// F m by dim list of mesh face indices +// P #P by 3 list of origin points +// N #P by 3 list of origin normals +// num_samples number of samples +// Throws matlab errors if dimensions are not sane. +void parse_rhs( + const int nrhs, + const mxArray *prhs[], + Eigen::MatrixXd & V, + Eigen::MatrixXi & F, + Eigen::MatrixXd & P, + Eigen::MatrixXd & N, + int & num_samples) +{ + using namespace std; + if(nrhs < 5) + { + mexErrMsgTxt("nrhs < 5"); + } + + const int dim = mxGetN(prhs[0]); + if(dim != 3) + { + mexErrMsgTxt("Mesh vertex list must be #V by 3 list of vertex positions"); + } + if(dim != (int)mxGetN(prhs[1])) + { + mexErrMsgTxt("Mesh facet size must be 3"); + } + if(mxGetN(prhs[2]) != dim) + { + mexErrMsgTxt("Point list must be #P by 3 list of origin locations"); + } + if(mxGetN(prhs[3]) != dim) + { + mexErrMsgTxt("Normal list must be #P by 3 list of origin normals"); + } + if(mxGetN(prhs[4]) != 1 || mxGetM(prhs[4]) != 1) + { + mexErrMsgTxt("Number of samples must be scalar."); + } + + + V.resize(mxGetM(prhs[0]),mxGetN(prhs[0])); + copy(mxGetPr(prhs[0]),mxGetPr(prhs[0])+V.size(),V.data()); + F.resize(mxGetM(prhs[1]),mxGetN(prhs[1])); + copy(mxGetPr(prhs[1]),mxGetPr(prhs[1])+F.size(),F.data()); + F.array() -= 1; + P.resize(mxGetM(prhs[2]),mxGetN(prhs[2])); + copy(mxGetPr(prhs[2]),mxGetPr(prhs[2])+P.size(),P.data()); + N.resize(mxGetM(prhs[3]),mxGetN(prhs[3])); + copy(mxGetPr(prhs[3]),mxGetPr(prhs[3])+N.size(),N.data()); + if(*mxGetPr(prhs[4]) != (int)*mxGetPr(prhs[4])) + { + mexErrMsgTxt("Number of samples should be non negative integer."); + } + num_samples = (int) *mxGetPr(prhs[4]); +} + +void mexFunction(int nlhs, mxArray *plhs[], + int nrhs, const mxArray *prhs[]) +{ + // This is useful for debugging whether Matlab is caching the mex binary + //mexPrintf("%s %s\n",__TIME__,__DATE__); + igl::MexStream mout; + std::streambuf *outbuf = std::cout.rdbuf(&mout); + using namespace std; + using namespace Eigen; + using namespace igl; + MatrixXd V,P,N; + VectorXd S; + MatrixXi F; + int num_samples; + parse_rhs(nrhs,prhs,V,F,P,N,num_samples); + // Prepare left-hand side + nlhs = 1; + ambient_occlusion(V,F,P,N,num_samples,S); + plhs[0] = mxCreateDoubleMatrix(S.rows(),S.cols(), mxREAL); + copy(S.data(),S.data()+S.size(),mxGetPr(plhs[0])); + // Restore the std stream buffer Important! + std::cout.rdbuf(outbuf); +} diff --git a/matlab/external/gptoolbox/mex/ambient_occlusion.m b/matlab/external/gptoolbox/mex/ambient_occlusion.m new file mode 100644 index 0000000..39b550e --- /dev/null +++ b/matlab/external/gptoolbox/mex/ambient_occlusion.m @@ -0,0 +1,22 @@ +% AMBIENT_OCCLUSION Compute ambient occlusion per given point +% +% S = ambient_occlusion(V,F,P,N,num_samples) +% +% Inputs: +% V #V by 3 list of mesh vertex positions +% F #F by 3 list of mesh triangle facet indices into V +% P #P by 3 list of origin points +% N #P by 3 list of origin normals +% num_samples number of samples +% Outputs: +% S #P list of ambient occlusion values between 1 (fully occluded) and 0 +% (not occluded) +% +% Examples: +% % mesh (V,F), scalar field Z +% AO = ambient_occlusion(V,F,V,per_vertex_normals(V,F),1000); +% tsurf(F,V,'FaceVertexCData', ... +% bsxfun(@times,1-AO, ... +% squeeze(ind2rgb(floor(matrixnormalize(Z)*256),jet(256)))), ... +% fphong,'EdgeColor','none'); +% diff --git a/matlab/external/gptoolbox/mex/bone_visible.cpp b/matlab/external/gptoolbox/mex/bone_visible.cpp new file mode 100644 index 0000000..c64fd6b --- /dev/null +++ b/matlab/external/gptoolbox/mex/bone_visible.cpp @@ -0,0 +1,238 @@ +#include "ray_mesh_intersect.h" +/* + * BONE_VISIBLE test whether vertices of mesh are visible to a set of + * points + * + * [flag] = bone_visible(V,F,s,d); + * + * Input: + * V #V by 3 list of vertex positions + * F #F by 3 list of triangle indices + * s row vector of position of start end point of bone + * d row vector of position of dest end point of bone + * Output: + * flag #V by 1 list of bools (true) visible, (false) obstructed + * + * mex -o bone_visible_mex bone_visible.cpp + */ + +void parse_rhs( + int nrhs, + const mxArray *prhs[], + double *& V, + int & n, + double *& F, + int & m, + double *& s, + double *& d) +{ + mexErrMsgTxt(mxGetN(prhs[0]) == 3, + "Mesh vertex list must be #V by 3 list of 3D vertex positions"); + // set number of mesh vertices + n = mxGetM(prhs[0]); + // set vertex position pointers + V = mxGetPr(prhs[0]); + mexErrMsgTxt(mxGetN(prhs[1]) == 3, + "Mesh face list must be #F by 3 list of triangle indices"); + // set number of faces + m = mxGetM(prhs[1]); + // set face index list pointer + F = mxGetPr(prhs[1]); + mexErrMsgTxt( + (mxGetM(prhs[2]) * mxGetN(prhs[2])) == 3, + "Bone start point must be 3d row or column vector"); + // set bone start point + s = mxGetPr(prhs[2]); + mexErrMsgTxt( + (mxGetM(prhs[3]) * mxGetN(prhs[3])) == 3, + "Bone dest point must be 3d row or column vector"); + // set bone dest point + d = mxGetPr(prhs[3]); +} + +void prepare_lhs( + int nlhs, + mxArray *plhs[], + int n, + mxLogical *& flag) +{ + // Create pointers for output arrays + if(nlhs > 0) + { + // hit or not + plhs[0] = mxCreateLogicalMatrix(n,1); + flag = mxGetLogicals(plhs[0]); + } +} + +// c = a+b +void plus( + const double * a, + const double * b, + double * c) +{ + c[0] = b[0] + a[0]; c[1] = b[1] + a[1]; c[2] = b[2] + a[2]; +} + +// c = a-b +void minus( + const double * a, + const double * b, + double * c) +{ + c[0] = a[0] - b[0]; c[1] = a[1] - b[1]; c[2] = a[2] - b[2]; +} + +// b =<1) + { + copy(b,q); + }else + { + scalar_times(t,ab,q); + plus(a,q,q); + } + + } +} + + + +void bone_visible( + const double * s, + const double * d, + const double * V, + const double * F, + int n, + int m, + mxLogical * flag) +{ + // loop over mesh vertices + for(int j = 0; j < n; j++) + { + double q[3]; + q[0] = V[n*0+j]; + q[1] = V[n*1+j]; + q[2] = V[n*2+j]; + // query: can [s,d] see q? + // we approximate this by asking if projection of q onto [s,d] can see q + double o[3]; + project_to_line_segment(q,s,d,o); + // ray direction + double d[3]; + d[0] = q[0] - o[0]; d[1] = q[1] - o[1]; d[2] = q[2] - o[2]; + // normalize d + double ud[3]; + double d_len = sqrt(d[0]*d[0] + d[1]*d[1] + d[2]*d[2]); + ud[0] = d[0]/d_len; + ud[1] = d[1]/d_len; + ud[2] = d[2]/d_len; + // reusable corner positions + double p1[3], p2[3], p3[3]; + // assume visible + flag[j] = true; + // loop over triangles + for(int i = 0; i < m; i++) + { + // grab corner indices into V + int i1 = (int)F[m*0+i]-1; + int i2 = (int)F[m*1+i]-1; + int i3 = (int)F[m*2+i]-1; + if( j == i1 || j == i2 || j == i3) + { + // skip incident triangles + continue; + } + // grab corner positions + p1[0] = V[n*0 + i1]; p1[1] = V[n*1 + i1]; p1[2] = V[n*2 + i1]; + p2[0] = V[n*0 + i2]; p2[1] = V[n*1 + i2]; p2[2] = V[n*2 + i2]; + p3[0] = V[n*0 + i3]; p3[1] = V[n*1 + i3]; p3[2] = V[n*2 + i3]; + // determine if this triangle intersects line segment o --> q + double t,lambda0,lambda1,lambda2; + bool hit = + ray_triangle_intersect(o,ud,p1,p2,p3,t,lambda0,lambda1,lambda2); + // if there was a hit, check that it wasn't past q + if(hit) + { + // was hit triangle closer than q + if(t + +#include + +#include +#include +#include +#include +#include + +// Parse right hand side arguments for a matlab mex function. +// +// Inputs: +// nrhs number of right hand side arguments +// prhs pointer to right hand side arguments +// Outputs: +// V n by dim list of mesh vertex positions +// F m by dim list of mesh face indices +// s 1 by dim bone source vertex position +// d 1 by dim bone dest vertex position +// "Throws" matlab errors if dimensions are not sane. +void parse_rhs( + const int nrhs, + const mxArray *prhs[], + Eigen::MatrixXd & V, + Eigen::MatrixXi & F, + Eigen::VectorXd & s, + Eigen::VectorXd & d) +{ + using namespace std; + if(nrhs < 4) + { + mexErrMsgTxt("nrhs < 4"); + } + const int dim = mxGetN(prhs[0]); + if(dim != 3) + { + mexErrMsgTxt("Mesh vertex list must be #V by 3 list of vertex positions"); + } + if(dim != (int)mxGetN(prhs[1])) + { + mexErrMsgTxt("Mesh facet size must equal dimension"); + } + if(dim != (int)mxGetN(prhs[2])) + { + mexErrMsgTxt("Source dim must equal vertex dimension"); + } + if(dim != (int)mxGetN(prhs[3])) + { + mexErrMsgTxt("Dest dim must equal vertex dimension"); + } + // set number of mesh vertices + const int n = mxGetM(prhs[0]); + // set vertex position pointers + double * Vp = mxGetPr(prhs[0]); + // set number of faces + const int m = mxGetM(prhs[1]); + // set face index list pointer + double * Fp = mxGetPr(prhs[1]); + // set source and dest pointers + double * sp = mxGetPr(prhs[2]); + double * dp = mxGetPr(prhs[3]); + // resize output to transpose + V.resize(n,dim); + copy(Vp,Vp+n*dim,V.data()); + // resize output to transpose + F.resize(m,dim); + // Q: Is this doing a cast? + // A: Yes. + copy(Fp,Fp+m*dim,F.data()); + // http://stackoverflow.com/a/4461466/148668 + transform(F.data(),F.data()+m*dim,F.data(), + bind2nd(std::plus(),-1.0)); + // resize output to transpose + s.resize(dim); + copy(sp,sp+dim,s.data()); + d.resize(dim); + copy(dp,dp+dim,d.data()); +} + +// Prepare left hand side +// +// Inputs: +// nlhs number of left hand side arguments +// plhs pointer to left hand side arguments +// no number of origins +// Outputs: +// S no by 1 list of solid angles +void prepare_lhs( + const int nlhs, + mxArray *plhs[], + const int no, + double *& S) +{ + // Create pointers for output arrays + if(nlhs > 0) + { + // solid angles + plhs[0] = mxCreateDoubleMatrix(no,1, mxREAL); + S = mxGetPr(plhs[0]); + } +} + +void mexFunction( + int nlhs, mxArray *plhs[], + int nrhs, const mxArray *prhs[]) +{ + using namespace std; + using namespace Eigen; + using namespace igl; + + igl::MexStream mout; + std::streambuf *outbuf = cout.rdbuf(&mout); + //mexPrintf("Compiled at %s on %s\n",__TIME__,__DATE__); + + MatrixXd V; + MatrixXi F; + VectorXd s; + VectorXd d; + parse_rhs(nrhs,prhs,V,F,s,d); + + //// Set up openmp + //int nProcessors=omp_get_max_threads(); + ////std::cout< flag; + bone_visible(V,F,s,d,flag); + + nlhs = 1; + plhs[0] = mxCreateLogicalMatrix(V.rows(),1); + mxLogical * flagp = mxGetLogicals(plhs[0]); + //copy(&flag.data()[0],&flag.data()[0]+flag.size(),flagp); + // safe copy + for(int f = 0;f +#include +#include +#include +#include +#include +#include +#ifdef MEX +# define IGL_REDRUM_NOOP +#endif +#include +#ifdef MEX +# include +# include +# include +#endif + +#ifdef MEX +# include "mex.h" +#endif +#include +#include + +#ifdef MEX +void mexFunction(int nlhs, mxArray *plhs[], + int nrhs, const mxArray *prhs[]) +{ + //mexPrintf("Compiled at %s on %s\n",__TIME__,__DATE__); + if(nrhs != 2 && nrhs != 3) + { + mexErrMsgTxt("The number of input arguments must be 2 or 3."); + } + //mexPrintf("%s %s\n",__TIME__,__DATE__); + igl::MexStream mout; + std::streambuf *outbuf = std::cout.rdbuf(&mout); + +#else +int main(int argc, char * argv[]) +{ +#endif + using namespace std; + using namespace Eigen; + using namespace igl; + + MatrixXd V; + MatrixXi F; + VectorXi IM; + + string prefix; + bool use_obj_format = false; + double eps = FLOAT_EPS; +#ifdef MEX + // This parses first two arguements + parse_rhs_double(prhs,V); + parse_rhs_index(prhs+1,F); + mexErrMsgTxt(V.cols()==3,"V must be #V by 3"); + mexErrMsgTxt(F.cols()==3,"F must be #F by 3"); + + if(nrhs==3) + { + if(mxGetM(prhs[2]) != 1 || mxGetN(prhs[2]) != 1) + { + mexErrMsgTxt("3rd argument should be scalar"); + } + eps = *mxGetPr(prhs[2]); + } +#else + if(argc <= 1 || argc>3) + { + cerr<<"Usage:"<().array()+1).matrix(); + copy(&Fd.data()[0],&Fd.data()[0]+Fd.size(),Fp); + + // Restore the std stream buffer Important! + std::cout.rdbuf(outbuf); + +#else + return 0; +#endif +} + + diff --git a/matlab/external/gptoolbox/mex/collapse_small_triangles.m b/matlab/external/gptoolbox/mex/collapse_small_triangles.m new file mode 100644 index 0000000..ad86cbb --- /dev/null +++ b/matlab/external/gptoolbox/mex/collapse_small_triangles.m @@ -0,0 +1,17 @@ +% Given a triangle mesh (V,F) compute a new mesh (VV,FF) which contains the +% original faces and vertices of (V,F) except any small triangles have been +% removed via collapse. +% +% We are *not* following the rules in "Mesh Optimization" [Hoppe et al] +% Section 4.2. But for our purposes we don't care about this criteria. +% +% [FF] = collapse_small_triangles(V,F,eps) +% +% Inputs: +% V #V by 3 list of vertex positions +% F #F by 3 list of triangle indices into V +% eps epsilon for smallest allowed area treated as fraction of squared bounding box +% diagonal +% Outputs: +% FF #FF by 3 list of triangle indices into V +% diff --git a/matlab/external/gptoolbox/mex/compile_gptoolbox_mex.m b/matlab/external/gptoolbox/mex/compile_gptoolbox_mex.m new file mode 100644 index 0000000..da3db20 --- /dev/null +++ b/matlab/external/gptoolbox/mex/compile_gptoolbox_mex.m @@ -0,0 +1,200 @@ + +MEXOPTS={'-v','-largeArrayDims','-DMEX'}; +MSSE42='CXXFLAGS=$CXXFLAGS -msse4.2'; +STDCPP11='CXXFLAGS=$CXXFLAGS -std=c++11'; +if exist('/usr/local/include/eigen3') + EIGEN_INC='-I/usr/local/include/eigen3'; +elseif exist('/opt/local/include/eigen3') + EIGEN_INC='-I/opt/local/include/eigen3'; +end +ELTOPO_INC=sprintf('-I%s/',path_to_eltopo); +ELTOPO_LIB=sprintf('-L%s/eltopo3d -leltopo_release',path_to_eltopo); +CLANG={'CXX=/usr/bin/clang++','LD=/usr/bin/clang++'}; +FRAMEWORK_LDFLAGS='LDFLAGS=\$LDFLAGS -framework Foundation -framework AppKit -framework Accelerate'; +NOOPT_LDOPTIMFLAGS='LDOPTIMFLAGS="-O "'; + +% See libigl documentation. In short, Libigl is a header-only library by +% default: no compilation needed (like Eigen). There's an advanced **option** +% to precompile libigl as a static library. This cuts down on compilation time. +% It is optional and more difficult to set up. Set this to true only if you +% know what you're doing. +use_libigl_static_library = false; +LIBIGL_INC=sprintf('-I%s/include',path_to_libigl); +if use_libigl_static_library + LIBIGL_FLAGS='-DIGL_STATIC_LIBRARY'; + LIBIGL_LIB=sprintf('-L%s/lib -ligl',path_to_libigl); + LIBIGL_LIBEMBREE='-liglembree'; + LIBIGL_LIBMATLAB='-liglmatlab'; + LIBIGL_LIBCGAL='-liglcgal'; + LIBIGL_LIBBOOLEAN='-liglboolean'; + LIBIGL_LIBSVD3X3='-liglsvd3x3'; +else + % `mex` has a silly requirement that arguments be non-empty, hence the NOOP + % defines + LIBIGL_FLAGS='-DIGL_SKIP'; + LIBIGL_LIB='-DIGL_SKIP'; + LIBIGL_LIBMATLAB='-DIGL_SKIP'; + LIBIGL_LIBEMBREE='-DIGL_SKIP'; + LIBIGL_LIBCGAL='-DIGL_SKIP'; + LIBIGL_LIBBOOLEAN='-DIGL_SKIP'; + LIBIGL_LIBSVD3X3='-DIGL_SKIP'; +end +LIBIGL_BASE={LIBIGL_INC,LIBIGL_FLAGS,LIBIGL_LIB,LIBIGL_LIBMATLAB}; + +SVD_INC=sprintf('-I%s/external/Singular_Value_Decomposition/',path_to_libigl); + +EMBREE=[path_to_libigl '/external/embree']; +EMBREE_INC=strsplit(sprintf('-I%s -I%s/include/',EMBREE,EMBREE)); +EMBREE_LIB=strsplit(sprintf('-L%s/build -lembree -lsys',EMBREE)); + +CORK=[path_to_libigl '/external/cork']; +CORK_INC=sprintf('-I%s/include',CORK); +CORK_LIB=strsplit(sprintf('-L%s/lib -lcork',CORK)); + +if exist('/usr/local/include/CGAL') + CGAL='/usr/local/'; +elseif exist('/opt/local/include/CGAL') + CGAL='/opt/local/'; +end +CGAL_INC=sprintf('-I%s/include',CGAL); +CGAL_LIB=strsplit(sprintf('-L%s/lib -lCGAL -lCGAL_Core -lgmp -lmpfr',CGAL)); +CGAL_FLAGS='CXXFLAGS=\$CXXFLAGS -frounding-math'; + +BOOST='/opt/local/'; +BOOST_INC=sprintf('-I%s/include',BOOST); +BOOST_LIB=strsplit(sprintf('-L%s/lib -lboost_thread-mt -lboost_system-mt',BOOST)); + +warning([ ... + 'This is **VERY** experimental. In principle, this should compile all ', ... + 'of the mex functions in this directory. In practice, users will ', ... + 'surely have to adjust paths and flags at the top of this file.']); +input('Hit any key to continue...'); + +mex( ... + MEXOPTS{:},... + MSSE42, ... + STDCPP11, ... + LIBIGL_BASE{:},EIGEN_INC, ... + EMBREE_INC{:}, EMBREE_LIB{:}, LIBIGL_LIBEMBREE, ... + 'ambient_occlusion.cpp'); + +mex(MEXOPTS{:},'-output','bone_visible_mex','bone_visible.cpp'); + +mex( ... + MEXOPTS{:},... + MSSE42, ... + STDCPP11, ... + LIBIGL_BASE{:},EIGEN_INC, ... + EMBREE_INC{:}, EMBREE_LIB{:}, LIBIGL_LIBEMBREE, ... + 'bone_visible_embree.cpp'); + +mex( ... + MEXOPTS{:}, ... + STDCPP11, ... + LIBIGL_BASE{:},EIGEN_INC, ... + 'collapse_small_triangles.cpp'); + +mex( ... + MEXOPTS{:}, MSSE42, ... + STDCPP11, ... + LIBIGL_BASE{:},EIGEN_INC, ... + LIBIGL_LIBCGAL, ... + CGAL_INC,CGAL_LIB{:},CGAL_FLAGS, ... + BOOST_INC,BOOST_LIB{:}, ... + 'decimate_cgal.cpp'); + +mex( ... + MEXOPTS{:}, MSSE42, STDCPP11, ... + LIBIGL_BASE{:},EIGEN_INC, ... + ELTOPO_INC,ELTOPO_LIB, ... + FRAMEWORK_LDFLAGS, ... + 'eltopo.cpp'); + +mex( ... + MEXOPTS{:}, MSSE42, STDCPP11, ... + LIBIGL_BASE{:},EIGEN_INC, ... + LIBIGL_LIBSVD3X3, ... + SVD_INC, ... + 'fit_rotations_mex.cpp'); + +% impaste is currently only implemented for mac +if ismac + mex( ... + MEXOPTS{:}, MSSE42, STDCPP11, ... + CLANG{:},NOOPT_LDOPTIMFLAGS,FRAMEWORK_LDFLAGS, ... + '-output','impaste','impaste.cpp','paste.mm'); +end + +mex( ... + MEXOPTS{:}, ... + STDCPP11, ... + LIBIGL_BASE{:},EIGEN_INC, ... + 'in_element_aabb.cpp'); + +mex( ... + MEXOPTS{:}, MSSE42, STDCPP11, ... + LIBIGL_BASE{:},EIGEN_INC, ... + LIBIGL_LIBCGAL, ... + CGAL_INC,CGAL_LIB{:},CGAL_FLAGS, ... + BOOST_INC,BOOST_LIB{:}, ... + 'intersect_other.cpp'); + +mex( ... + MEXOPTS{:}, MSSE42, STDCPP11, ... + LIBIGL_BASE{:},EIGEN_INC, ... + CGAL_INC,CGAL_LIB{:},CGAL_FLAGS, ... + LIBIGL_LIBCGAL, LIBIGL_LIBBOOLEAN, ... + CORK_INC,CORK_LIB{:}, ... + BOOST_INC,BOOST_LIB{:}, ... + 'mesh_boolean.cpp'); + +mex( ... + MEXOPTS{:}, MSSE42, STDCPP11, ... + LIBIGL_BASE{:},EIGEN_INC, ... + CGAL_INC,CGAL_LIB{:},CGAL_FLAGS, ... + LIBIGL_LIBCGAL, LIBIGL_LIBBOOLEAN, ... + BOOST_INC,BOOST_LIB{:}, ... + 'outer_hull.cpp'); + +mex( ... + MEXOPTS{:}, MSSE42, STDCPP11, ... + LIBIGL_BASE{:},EIGEN_INC, ... + 'point_mesh_squared_distance.cpp'); + +mex( ... + MEXOPTS{:}, ... + STDCPP11, ... + 'ray_mesh_intersect.cpp'); + +mex( ... + MEXOPTS{:}, MSSE42, STDCPP11, ... + LIBIGL_BASE{:},EIGEN_INC, ... + LIBIGL_LIBCGAL, ... + CGAL_INC,CGAL_LIB{:},CGAL_FLAGS, ... + BOOST_INC,BOOST_LIB{:}, ... + 'selfintersect.cpp'); + +mex( ... + MEXOPTS{:}, MSSE42, STDCPP11, ... + LIBIGL_BASE{:},EIGEN_INC, ... + 'signed_distance.cpp'); + +mex( ... + MEXOPTS{:}, MSSE42, STDCPP11, ... + LIBIGL_BASE{:},EIGEN_INC, ... + LIBIGL_LIBCGAL, ... + CGAL_INC,CGAL_LIB{:},CGAL_FLAGS, ... + BOOST_INC,BOOST_LIB{:}, ... + 'signed_distance_isosurface.cpp'); + +mex( ... + MEXOPTS{:}, ... + STDCPP11, ... + 'solid_angle.cpp'); + +mex( ... + MEXOPTS{:}, MSSE42, STDCPP11, ... + LIBIGL_BASE{:},EIGEN_INC, ... + '-Iwinding_number', ... + '-output','winding_number', ... + 'winding_number.cpp','winding_number/parse_rhs.cpp','winding_number/prepare_lhs.cpp'); diff --git a/matlab/external/gptoolbox/mex/decimate_cgal.cpp b/matlab/external/gptoolbox/mex/decimate_cgal.cpp new file mode 100644 index 0000000..38b2c56 --- /dev/null +++ b/matlab/external/gptoolbox/mex/decimate_cgal.cpp @@ -0,0 +1,211 @@ +// mex -v -DMEX decimate_cgal.cpp ... +// -Isrc -I/opt/local/include/ -I/opt/local/include/eigen3 ... +// -I/usr/local/igl/libigl/include -L/opt/local/lib ... +// -lCGAL -lCGAL_Core -lgmp -lmpfr ... +// -lboost_thread-mt -lboost_system-mt +// +#ifdef MEX +# include +# include +# include +# undef assert +# define assert( isOK ) ( (isOK) ? (void)0 : (void) mexErrMsgTxt(C_STR(__FILE__<<":"<<__LINE__<<": failed assertion `"<<#isOK<<"'"< +#include +#include +#include +#include + +#include +#include +#include +// Adaptor for Polyhedron_3 +#include +// Simplification function +#include +// Visitor base +#include +// Extended polyhedron items which include an id() field +#include +// Stop-condition policy +#include +// Non-default cost and placement policies +#include + +#include + +typedef CGAL::Simple_cartesian Kernel; +typedef Kernel::Point_3 Point ; +// +// Setup an enriched polyhedron type which stores an id() field in the items +// +typedef CGAL::Polyhedron_3 Surface_mesh; +typedef Surface_mesh::Halfedge_handle Halfedge_handle ; +typedef Surface_mesh::Vertex_handle Vertex_handle ; +namespace SMS = CGAL::Surface_mesh_simplification ; +typedef SMS::Edge_profile Profile ; +// The following is a Visitor that keeps track of the simplification process. +// In this example the progress is printed real-time and a few statistics are +// recorded (and printed in the end). +// +struct Stats +{ + Stats() + : collected(0) + , processed(0) + , collapsed(0) + , non_collapsable(0) + , cost_uncomputable(0) + , placement_uncomputable(0) + {} + + std::size_t collected ; + std::size_t processed ; + std::size_t collapsed ; + std::size_t non_collapsable ; + std::size_t cost_uncomputable ; + std::size_t placement_uncomputable ; +} ; +struct My_visitor : SMS::Edge_collapse_visitor_base +{ + My_visitor( Stats* s) : stats(s){} + // Called during the collecting phase for each edge collected. + void OnCollected( Profile const&, boost::optional const& ) + { + ++ stats->collected ; + //std::cerr << "\rEdges collected: " << stats->collected << std::flush ; + } + + // Called during the processing phase for each edge selected. + // If cost is absent the edge won't be collapsed. + void OnSelected(Profile const& + ,boost::optional cost + ,std::size_t initial + ,std::size_t current + ) + { + ++ stats->processed ; + if ( !cost ) + ++ stats->cost_uncomputable ; + + //if ( current == initial ) + // std::cerr << "\n" << std::flush ; + //std::cerr << "\r" << current << std::flush ; + } + + // Called during the processing phase for each edge being collapsed. + // If placement is absent the edge is left uncollapsed. + void OnCollapsing(Profile const& + ,boost::optional placement + ) + { + if ( !placement ) + ++ stats->placement_uncomputable ; + } + + // Called for each edge which failed the so called link-condition, + // that is, which cannot be collapsed because doing so would + // turn the surface mesh into a non-manifold. + void OnNonCollapsable( Profile const& ) + { + ++ stats->non_collapsable; + } + + // Called AFTER each edge has been collapsed + void OnCollapsed( Profile const&, Vertex_handle ) + { + ++ stats->collapsed; + } + + Stats* stats ; +} ; + +void mexFunction( + int nlhs, + mxArray *plhs[], + int nrhs, + const mxArray *prhs[] + ) +{ + using namespace igl; + using namespace Eigen; + MatrixXd V,W; + MatrixXi F,G; + + igl::MexStream mout; + std::streambuf *outbuf = std::cout.rdbuf(&mout); + + mexErrMsgTxt(nrhs<=3,"nrhs should be <= 3"); + parse_rhs_double(prhs,V); + parse_rhs_index(prhs+1,F); + mexErrMsgTxt(V.cols()==3,"V must be #V by 3"); + mexErrMsgTxt(F.cols()==3,"F must be #F by 3"); + mexErrMsgTxt( + mxIsDouble(prhs[2]) && mxGetM(prhs[2])==1 && mxGetN(prhs[2])==1, + "fraction to decimate should be scalar"); + double ratio = * mxGetPr(prhs[2]); + mexErrMsgTxt((ratio>0 && ratio<1),"Ratio should be in (0,1)"); + + Surface_mesh surface_mesh; + if(!mesh_to_polyhedron(V,F,surface_mesh)) + { + mexErrMsgTxt("Failed to convert (V,F) to cgal polyhedron"); + } + + // The items in this polyhedron have an "id()" field + // which the default index maps used in the algorithm + // need to get the index of a vertex/edge. + // However, the Polyhedron_3 class doesn't assign any value to + // this id(), so we must do it here: + int index = 0 ; + + for( Surface_mesh::Halfedge_iterator eb = surface_mesh.halfedges_begin() + , ee = surface_mesh.halfedges_end() + ; eb != ee + ; ++ eb + ) + eb->id() = index++; + index = 0 ; + for( Surface_mesh::Vertex_iterator vb = surface_mesh.vertices_begin() + , ve = surface_mesh.vertices_end() + ; vb != ve + ; ++ vb + ) + vb->id() = index++; + + // In this example, the simplification stops when the number of undirected edges + // drops below 10% of the initial count + SMS::Count_ratio_stop_predicate stop(ratio); + + Stats stats ; + My_visitor vis(&stats) ; + // The index maps are not explicitelty passed as in the previous + // example because the surface mesh items have a proper id() field. + // On the other hand, we pass here explicit cost and placement + // function which differ from the default policies, ommited in + // the previous example. + int r = SMS::edge_collapse + (surface_mesh + ,stop + ,CGAL::get_cost (SMS::Edge_length_cost ()) + .get_placement(SMS::Midpoint_placement()) + .visitor (vis) + ); + + polyhedron_to_mesh(surface_mesh,W,G); + + switch(nlhs) + { + case 2: + prepare_lhs_index(G,plhs+1); + case 1: + prepare_lhs_double(W,plhs+0); + default:break; + } + + // Restore the std stream buffer Important! + std::cout.rdbuf(outbuf); + return; +} diff --git a/matlab/external/gptoolbox/mex/decimate_cgal.m b/matlab/external/gptoolbox/mex/decimate_cgal.m new file mode 100644 index 0000000..2121d5f --- /dev/null +++ b/matlab/external/gptoolbox/mex/decimate_cgal.m @@ -0,0 +1,16 @@ +% DECIMATE_CGAL Decimate a mesh (V,F) using CGAL's Polyhedron edge_collapse +% routine. (V,F) must already be a manifold mesh +% +% [W,G] = decimate_cgal(V,F,ratio) +% +% Inputs: +% V #V by 3 list of input mesh vertex positions +% F #F by 3 list of triangles indices into V +% ratio scalar between 0 and 1 exclusively specifying ratio of output faces +% to input faces: ratio ~= #G / #F +% Outputs: +% W #W by 3 list of output mesh vertex positions +% G #G by 3 list of triangles indices into W +% +% See also: reducepatch +% diff --git a/matlab/external/gptoolbox/mex/eltopo.cpp b/matlab/external/gptoolbox/mex/eltopo.cpp new file mode 100644 index 0000000..70d5f06 --- /dev/null +++ b/matlab/external/gptoolbox/mex/eltopo.cpp @@ -0,0 +1,122 @@ +// Based on `collide_eltopo_mex.cpp` by Leonardo Sacht, 2014. + +#include +#include +#include +#include +#include +#include +#include + +typedef Eigen::Matrix MatrixX3d; +typedef Eigen::Matrix MatrixX3i; + +void parse_rhs( + const int nrhs, + const mxArray *prhs[], + MatrixX3d & V0, + MatrixX3i & F, + MatrixX3d & V1) +{ + using namespace std; + using namespace igl; + using namespace Eigen; + mexErrMsgTxt(nrhs >= 3, "The number of input arguments must be >=3."); + + const int dim = mxGetN(prhs[0]); + mexErrMsgTxt(dim == 3, + "Mesh vertex list must be #V0 by 3 list of vertex positions"); + mexErrMsgTxt(mxGetN(prhs[1]) == 3, + "Mesh vertex list must be #V1 by 3 list of vertex positions"); + + parse_rhs_double(prhs,V0); + parse_rhs_index(prhs+1,F); + parse_rhs_double(prhs+2,V1); +} + +void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) +{ + using namespace std; + using namespace igl; + igl::MexStream mout; + std::streambuf *outbuf = std::cout.rdbuf(&mout); + MatrixX3d V0,V1,U; + MatrixX3i F,G; + Eigen::VectorXd M; + double out_dt = 0; + double eps_prox = 1e-4; + double tol_dt = 1e-1; + + + // Parse rhs + parse_rhs(nrhs,prhs,V0,F,V1); + { + Eigen::SparseMatrix MM; + massmatrix(V0,F,MASSMATRIX_TYPE_DEFAULT,MM); + M = MM.diagonal(); + } + + ElTopoMesh eltopo; + eltopo.num_vertices = V0.rows(); + eltopo.vertex_locations = V0.data(); + eltopo.num_triangles = F.rows(); + eltopo.triangles = F.data(); + eltopo.vertex_masses = M.data(); + // Set general parameters + ElTopoGeneralOptions gen_options; + gen_options.m_verbose = 0; + gen_options.m_collision_safety = 1; + gen_options.m_proximity_epsilon = eps_prox; + // Set Simulation parameters + ElTopoIntegrationOptions int_options; + int_options.m_friction_coefficient = 0.0; + int_options.m_dt = 1.0; + + // For now topology optimization is not supported + G = F; + + // run simulation (cut time step if it does not satisfy constraints) + { + double* Up; + out_dt = 0.0; + double rest_dt = 1.0; + int attempts = 0; + while (rest_dt > tol_dt) + { + el_topo_integrate(&eltopo, V1.data(), &gen_options, &int_options, &Up, &out_dt); + eltopo.vertex_locations = Up; + rest_dt = (1-out_dt)*rest_dt; + //mexPrintf("current out_dt = %.4f\n", out_dt); + //mexPrintf("running rest_dt = %.4f\n", rest_dt); + attempts = attempts+1; + if (out_dt +#include +# undef assert +# define assert( isOK ) ( (isOK) ? (void)0 : (void) mexErrMsgTxt(C_STR(__FILE__<<":"<<__LINE__<<": failed assertion `"<<#isOK<<"'"< +# include +# include +#endif +#include + +#include +#include + +#ifdef MEX +void mexFunction(int nlhs, mxArray *plhs[], + int nrhs, const mxArray *prhs[]) +{ + // This is useful for debugging whether Matlab is caching the mex binary + //mexPrintf("%s %s\n",__TIME__,__DATE__); + igl::MexStream mout; + std::streambuf *outbuf = std::cout.rdbuf(&mout); + + using namespace std; + using namespace Eigen; + using namespace igl; + + // If no args then assume we're checking whether function exists, return true + if(nrhs == 0) + { + nlhs = 1; + plhs[0] = mxCreateDoubleMatrix(1,1, mxREAL); + double * lhs = mxGetPr(plhs[0]); + *lhs = true; + return; + } + + MatrixXd S,R; + + parse_rhs_double(prhs,S); + const size_t dim = S.cols(); + mexErrMsgTxt(dim==2 || dim==3,"dim must be 2 or 3"); + mexErrMsgTxt(nrhs>=1,"must provide S arg"); + mexErrMsgTxt((S.rows()%dim) == 0,"S must be #R*dim by dim"); + const size_t nr = S.rows()/dim; + bool allow_flips = false; + bool single_precision = false; + + if(nrhs>2) + { + int i = 1; + while(i=nrhs) + { + mexErrMsgTxt(C_STR("Parameter '"<=nrhs) + { + mexErrMsgTxt(C_STR("Parameter '"<(); + MatrixXf Rf; + fit_rotations_SSE(Sf,Rf); + R = Rf.cast(); +#else + igl::fit_rotations(S,single_precision,R); +#endif + }else + { + igl::fit_rotations(S,false,R); + } + } + + // Prepare left-hand side + switch(nlhs) + { + case 1: + { + plhs[0] = mxCreateDoubleMatrix(R.rows(),R.cols(), mxREAL); + double * Rp = mxGetPr(plhs[0]); + copy(&R.data()[0],&R.data()[0]+R.size(),Rp); + break; + } + default:break; + } + + // Restore the std stream buffer Important! + std::cout.rdbuf(outbuf); + +#else + return 0; +#endif +} + diff --git a/matlab/external/gptoolbox/mex/fit_rotations_mex.m b/matlab/external/gptoolbox/mex/fit_rotations_mex.m new file mode 100644 index 0000000..dd62436 --- /dev/null +++ b/matlab/external/gptoolbox/mex/fit_rotations_mex.m @@ -0,0 +1,3 @@ +function mex_exists = fit_rotations_mex() + mex_exists = false; +end diff --git a/matlab/external/gptoolbox/mex/impaste.cpp b/matlab/external/gptoolbox/mex/impaste.cpp new file mode 100644 index 0000000..0ae6fe4 --- /dev/null +++ b/matlab/external/gptoolbox/mex/impaste.cpp @@ -0,0 +1,41 @@ +#ifdef MEX +// mex -v -largeArrayDims -DMEX ... +// CXX='/usr/bin/clang++' ... +// LD='/usr/bin/clang++' ... +// LDOPTIMFLAGS='-O ' ... +// LDFLAGS='\$LDFLAGS -framework Foundation -framework AppKit' ... +// -output impaste impaste.cpp paste.mm + +#include +#include "paste.h" +#include + +void mexFunction( + int nlhs, mxArray *plhs[], + int nrhs, const mxArray *prhs[]) +{ + unsigned char * IM; + size_t h,w,c; + if(!paste(IM,h,w,c)) + { + mexErrMsgTxt("Clipboard doesn't contain image."); + } + switch(nlhs) + { + default: + { + mexErrMsgTxt("Too many output parameters."); + } + case 1: + { + size_t dims[] = {h,w,c}; + plhs[0] = mxCreateNumericArray(3,dims,mxUINT8_CLASS,mxREAL); + unsigned char * IMp = (unsigned char *)mxGetData(plhs[0]); + std::copy(IM,IM+w*h*c,IMp); + // Fall through + } + case 0: break; + } +} + +#endif diff --git a/matlab/external/gptoolbox/mex/impaste.m b/matlab/external/gptoolbox/mex/impaste.m new file mode 100644 index 0000000..58373f4 --- /dev/null +++ b/matlab/external/gptoolbox/mex/impaste.m @@ -0,0 +1,7 @@ +% IMPASTE paste an image from the current clipboard. +% +% IM = impaste(); +% +% Outputs: +% IM h by w by 3 RGB image pasted from clipboard. +% Throws an error if the clipboard does not contain an image. diff --git a/matlab/external/gptoolbox/mex/in_element_aabb.cpp b/matlab/external/gptoolbox/mex/in_element_aabb.cpp new file mode 100644 index 0000000..fe70888 --- /dev/null +++ b/matlab/external/gptoolbox/mex/in_element_aabb.cpp @@ -0,0 +1,152 @@ +#ifdef MEX +// mex -v -largeArrayDims -DMEX ... +// -I/usr/local/igl/libigl/include ... +// -I/opt/local/include/eigen3 ... +// in_element_aabb.cpp + +#include +#include +#include +#include +#include +#include + +#include +#include +#include + +#include +#include +void parse_rhs( + const int nrhs, + const mxArray *prhs[], + Eigen::MatrixXd & V, + Eigen::MatrixXi & Ele, + Eigen::MatrixXd & Q, + Eigen::MatrixXd & bb_mins, + Eigen::MatrixXd & bb_maxs, + Eigen::VectorXi & elements) +{ + using namespace std; + using namespace igl; + mexErrMsgTxt(nrhs >= 3, "The number of input arguments must be >=3."); + + const int dim = mxGetN(prhs[0]); + mexErrMsgTxt(dim == 3 || dim == 2, + "Mesh vertex list must be #V by 2 or 3 list of vertex positions"); + + mexErrMsgTxt(dim+1 == mxGetN(prhs[1]), + "Mesh \"face\" simplex size must equal dimension+1"); + + parse_rhs_double(prhs,V); + parse_rhs_index(prhs+1,Ele); + parse_rhs_double(prhs+2,Q); + mexErrMsgTxt(Q.cols() == dim,"Dimension of Q should match V"); + if(nrhs > 3) + { + mexErrMsgTxt(nrhs >= 6, "The number of input arguments must be 3 or >=6."); + parse_rhs_double(prhs+3,bb_mins); + if(bb_mins.size()>0) + { + mexErrMsgTxt(bb_mins.cols() == dim,"Dimension of bb_mins should match V"); + mexErrMsgTxt(bb_mins.rows() >= Ele.rows(),"|bb_mins| should be > |Ele|"); + } + parse_rhs_double(prhs+4,bb_maxs); + mexErrMsgTxt(bb_maxs.cols() == bb_mins.cols(), + "|bb_maxs| should match |bb_mins|"); + mexErrMsgTxt(bb_mins.rows() == bb_maxs.rows(), + "|bb_mins| should match |bb_maxs|"); + parse_rhs_index(prhs+5,elements); + mexErrMsgTxt(elements.cols() == 1,"Elements should be column vector"); + mexErrMsgTxt(bb_mins.rows() == elements.rows(), + "|bb_mins| should match |elements|"); + }else + { + // Defaults + bb_mins.resize(0,dim); + bb_maxs.resize(0,dim); + elements.resize(0,1); + } +} + +void mexFunction( + int nlhs, mxArray *plhs[], + int nrhs, const mxArray *prhs[]) +{ + using namespace std; + using namespace Eigen; + using namespace igl; + + igl::MexStream mout; + std::streambuf *outbuf = cout.rdbuf(&mout); + //mexPrintf("Compiled at %s on %s\n",__TIME__,__DATE__); + + MatrixXd V,Q,bb_mins,bb_maxs; + MatrixXi Ele; + VectorXi elements; + VectorXi I; + parse_rhs(nrhs,prhs,V,Ele,Q,bb_mins,bb_maxs,elements); + bool was_serialized = bb_mins.size()>0; + + switch(V.cols()) + { + default: + mexErrMsgTxt(false,"Un-supported dimension."); + break; + case 3: + { + AABB aabb; + aabb.init(V,Ele,bb_mins,bb_maxs,elements); + in_element(V,Ele,Q,aabb,I); + if(nlhs>1 && !was_serialized) + { + aabb.serialize(bb_mins,bb_maxs,elements); + } + break; + } + case 2: + { + AABB aabb; + aabb.init(V,Ele,bb_mins,bb_maxs,elements); + in_element(V,Ele,Q,aabb,I); + if(nlhs>1 && !was_serialized) + { + aabb.serialize(bb_mins,bb_maxs,elements); + } + break; + } + } + + switch(nlhs) + { + default: + { + mexErrMsgTxt(false,"Too many output parameters."); + } + case 4: + { + prepare_lhs_index(elements,plhs+3); + //fallthrough + } + case 3: + { + prepare_lhs_double(bb_maxs,plhs+2); + //fallthrough + } + case 2: + { + prepare_lhs_double(bb_mins,plhs+1); + //fallthrough + } + case 1: + { + prepare_lhs_index(I,plhs+0); + //fallthrough + } + case 0: break; + } + + std::cout.rdbuf(outbuf); +} + +#endif diff --git a/matlab/external/gptoolbox/mex/in_element_aabb.m b/matlab/external/gptoolbox/mex/in_element_aabb.m new file mode 100644 index 0000000..ef799ae --- /dev/null +++ b/matlab/external/gptoolbox/mex/in_element_aabb.m @@ -0,0 +1,46 @@ +% IN_ELEMENT_AABB Use an axis-aligned bounding box tree to determine if a set +% of points appears inside the elements of a mesh. +% +% I = in_element_aabb(V,Ele,Q); +% [I,bb_mins,bb_maxs,elements] = ... +% in_element_aabb(V,Ele,Q,bb_mins,bb_maxs,elements); +% +% Inputs: +% V #V by dim list of mesh vertex positions. +% Ele #Ele by dim+1 list of mesh indices into #V. +% Q #Q by dim list of query point positions +% Optional: +% bb_mins max_tree by dim list of bounding box min corner positions +% bb_maxs max_tree by dim list of bounding box max corner positions +% elements max_tree list of element or (not leaf id) indices into Ele +% Outputs: +% I #Q list of indices into Ele of first containing element (0 means no +% containing element) +% bb_mins (see optional input) +% bb_maxs (see optional input) +% elements (see optional input) +% +% Example: +% % Dummy data +% aabbn = []; +% aabbx = []; +% aabbe = []; +% % Call once to build AABB and query +% [I,aabbn,aabbx,aabbe] = in_element_aabb(V,Ele,Q,aabbn,aabbx,aabbe); +% % Call again with same output to build AABB from serialized output +% [I,aabbn,aabbx,aabbe] = in_element_aabb(V,Ele,Q,aabbn,aabbx,aabbe); +% % recover barycentric coordinates (assuming tet mesh) +% [II,~,IV] = find(I); +% B = barycentric_coordinates( ... +% Q(II,:),V(Ele(IV,1),:),V(Ele(IV,2),:),V(Ele(IV,3),:),V(Ele(IV,4),:)); +% % reproduce positions of found points using barycentric coordinates +% BQ = sum(bsxfun(@times, permute(B,[1 3 2]), ... +% cat(3,V(Ele(IV,1),:),V(Ele(IV,2),:),V(Ele(IV,3),:),V(Ele(IV,4),:))),3); +% % Map back so that size(B,1) == size(Q,1) +% B = sparse(repmat(II,1,size(B,2)),repmat(1:size(B,2),size(B,1),1),B, ... +% numel(I),size(B,2)); +% scatter3(Q(:,1),Q(:,2),Q(:,3)); +% hold on; +% scatter3(BQ(:,1),BQ(:,2),BQ(:,3),'r','SizeData',10); +% hold off; +% diff --git a/matlab/external/gptoolbox/mex/intersect_other.cpp b/matlab/external/gptoolbox/mex/intersect_other.cpp new file mode 100644 index 0000000..e3e8c9a --- /dev/null +++ b/matlab/external/gptoolbox/mex/intersect_other.cpp @@ -0,0 +1,232 @@ +// mex -v -DMEX intersect_other.cpp ... +// -Isrc -I/opt/local/include/ -I/opt/local/include/eigen3 ... +// -I/usr/local/igl/libigl/include -L/opt/local/lib ... +// -lCGAL -lCGAL_Core -lgmp -lmpfr ... +// -lboost_thread-mt -lboost_system-mt +// +#ifdef MEX +# include +# undef assert +# define assert( isOK ) ( (isOK) ? (void)0 : (void) mexErrMsgTxt(C_STR(__FILE__<<":"<<__LINE__<<": failed assertion `"<<#isOK<<"'"< +#include +#include +#include +#include +#include +#include +#include +#ifdef MEX +# define IGL_REDRUM_NOOP +#endif +#include +#ifdef MEX +# include +# include +# include +#endif +#include + +#ifdef MEX +# include "mex.h" +#endif + +#include +#include + +#ifdef MEX +void mexFunction(int nlhs, mxArray *plhs[], + int nrhs, const mxArray *prhs[]) +{ + // This is useful for debugging whether Matlab is caching the mex binary + //mexPrintf("%s %s\n",__TIME__,__DATE__); + igl::MexStream mout; + std::streambuf *outbuf = std::cout.rdbuf(&mout); + +#else +int main(int argc, char * argv[]) +{ +#endif + using namespace std; + using namespace Eigen; + using namespace igl; + + MatrixXd V,U; + MatrixXi F,G; + bool first_only = false; + + string prefix; + bool use_obj_format = false; +#ifdef MEX + const int NUM_REQ = 4; + if(nrhs < NUM_REQ) + { + mexErrMsgTxt(C_STR("nrhs < "<NUM_REQ) + { + int i = NUM_REQ; + while(i=nrhs) + { + mexErrMsgTxt(C_STR("Parameter '"<3) + { + //http://stackoverflow.com/a/9748431/148668 + char *p; + long d = strtol(argv[3], &p, 10); + if (errno != 0 || *p != '\0') + { + cerr<<"first only param should be 0 or 1"< bool + { + // Check that there aren't any combinatorially or geometrically degenerate triangles + VectorXd A; + doublearea(V,F,A); + if(A.minCoeff()<=0) + { +#ifdef MEX + mexErrMsgTxt("Geometrically degenerate face found."); +#else + cerr<<"Geometrically degenerate face found."<().array()+1).matrix(); + copy(&IFd.data()[0],&IFd.data()[0]+IFd.size(),IFp); + + // Restore the std stream buffer Important! + std::cout.rdbuf(outbuf); + +#else + return 0; +#endif +} diff --git a/matlab/external/gptoolbox/mex/intersect_other.m b/matlab/external/gptoolbox/mex/intersect_other.m new file mode 100644 index 0000000..977f69f --- /dev/null +++ b/matlab/external/gptoolbox/mex/intersect_other.m @@ -0,0 +1,21 @@ +% INTERSECT_OTHER Given a triangle mesh (V,F) and another mesh (U,G) find all +% pairs of intersecting faces. Note that self-intersections are ignored. +% +% [IF] = intersect_other(V,F,U,G,'ParameterName',ParameterValue, ...) +% +% Inputs: +% V #V by 3 list of vertex positions +% F #F by 3 list of triangle indices into V +% U #U by 3 list of vertex positions +% G #G by 3 list of triangle indices into U +% Optional: +% 'FirstOnly' followed by bool whether to only detect the first +% intersection. +% Outputs: +% IF #intersecting face pairs by 2 list of intersecting face pairs, +% indexing F and G +% +% See also: selfintersect + +% See intersect_other.h, intersect_other.cpp for mex implementation + diff --git a/matlab/external/gptoolbox/mex/mesh_boolean.cpp b/matlab/external/gptoolbox/mex/mesh_boolean.cpp new file mode 100644 index 0000000..48e49c9 --- /dev/null +++ b/matlab/external/gptoolbox/mex/mesh_boolean.cpp @@ -0,0 +1,304 @@ +#ifdef MEX +// mex -v -largeArrayDims -DMEX ... +// -I/usr/local/igl/libigl/include ... +// -DIGL_STATIC_LIBRARY ... +// -I/opt/local/include/eigen3 ... +// -I/opt/local/include ... +// -L/opt/local/lib ... +// -I/usr/local/igl/libigl/external/cork/include ... +// -L/usr/local/igl/libigl/lib -ligl -liglmatlab -liglboolean -liglcgal ... +// -L/usr/local/igl/libigl/external/cork/lib -lcork ... +// -lCGAL -lCGAL_Core -lgmp -lmpfr ... +// -lboost_thread-mt -lboost_system-mt ... +// mesh_boolean.cpp + +#include +#include +#include +#include + +#include +#include +#include +#include +#include + +#include +#include +#include + +#include + +enum BooleanLibType +{ + BOOLEAN_LIB_TYPE_LIBIGL = 0, + BOOLEAN_LIB_TYPE_CORK = 1, + BOOLEAN_LIB_TYPE_LIBIGL_TRY_CORK_RESOLVE = 2, + NUM_BOOLEAN_LIB_TYPES = 3 +}; + +void parse_rhs( + const int nrhs, + const mxArray *prhs[], + Eigen::MatrixXd & VA, + Eigen::MatrixXi & FA, + Eigen::MatrixXd & VB, + Eigen::MatrixXi & FB, + igl::MeshBooleanType & type, + BooleanLibType & boolean_lib, + bool & debug + ) +{ + using namespace std; + using namespace igl; + using namespace Eigen; + mexErrMsgTxt(nrhs >= 5, "The number of input arguments must be >=5."); + + const auto & parse_mesh = []( + const mxArray *prhs[], + Eigen::MatrixXd & V, + Eigen::MatrixXi & F) + { + const int dim = mxGetN(prhs[0]); + mexErrMsgTxt(dim==0 || dim == 3, + "Mesh vertex list must be #V by 3 list of vertex positions"); + mexErrMsgTxt(mxGetN(prhs[1])==0 || dim == mxGetN(prhs[1]), + "Mesh \"face\" simplex size must equal dimension"); + parse_rhs_double(prhs,V); + parse_rhs_index(prhs+1,F); + }; + parse_mesh(prhs,VA,FA); + parse_mesh(prhs+2,VB,FB); + mexErrMsgTxt(mxIsChar(prhs[4]), C_STR("Type should be char")); + const char * type_str = mxArrayToString(prhs[4]); + if(strcmp(type_str,"union")==0) + { + type = MESH_BOOLEAN_TYPE_UNION; + }else if(strcmp(type_str,"intersect")==0) + { + type = MESH_BOOLEAN_TYPE_INTERSECT; + }else if(strcmp(type_str,"minus")==0) + { + type = MESH_BOOLEAN_TYPE_MINUS; + }else if(strcmp(type_str,"xor")==0) + { + type = MESH_BOOLEAN_TYPE_XOR; + }else if(strcmp(type_str,"resolve")==0) + { + type = MESH_BOOLEAN_TYPE_RESOLVE; + }else + { + mexErrMsgTxt(false,"Unknown type"); + } + + { + int i = 5; + while(i&, + const Eigen::Matrix&, + Eigen::Matrix&, + Eigen::Matrix&, + Eigen::Matrix&)> & + try_cork_resolve = []( + const Eigen::Matrix & V, + const Eigen::Matrix & F, + Eigen::Matrix & CV, + Eigen::Matrix & CF, + Eigen::Matrix & J) + { + typedef Matrix MatrixX3S; + typedef Matrix MatrixX3I; + typedef Matrix MatrixX2I; + typedef Matrix VectorXI; + const auto & cork_resolve = []( + const MatrixX3S &V, + const MatrixX3I &F, + MatrixX3S &CV, + MatrixX3I &CF, + VectorXI &/*J*/) + { + Eigen::Matrix _1; + Eigen::Matrix _2; + mesh_boolean_cork(V,F,_1,_2,MESH_BOOLEAN_TYPE_RESOLVE,CV,CF); + }; + // OK if &(CV,CF) = &(V,F) + const auto & libigl_resolve = []( + const MatrixX3S &V, + const MatrixX3I &F, + MatrixX3S &CV, + MatrixX3I &CF, + VectorXI &J) + { + using namespace Eigen; + MatrixX3S SV; + MatrixX3I SF; + MatrixX2I SIF; + VectorXI SIM,UIM; + RemeshSelfIntersectionsParam params; + remesh_self_intersections(V,F,params,SV,SF,SIF,J,SIM); + for_each(SF.data(),SF.data()+SF.size(),[&SIM](int & a){a=SIM(a);}); + { + remove_unreferenced(SV,SF,CV,CF,UIM); + } + }; + const auto & validate = []( + const MatrixX3S &V, const MatrixX3I &F)->bool + { + MatrixX3S SV; + MatrixX3I SF; + MatrixX2I SIF; + VectorXI SJ,SIM,UIM; + RemeshSelfIntersectionsParam params; + params.detect_only = true; + params.first_only = true; + remesh_self_intersections(V,F,params,SV,SF,SIF,SJ,SIM); + return SIM.size() == 0; + }; + cork_resolve(V,F,CV,CF,J); + if(!validate(CV,CF)) + { + libigl_resolve(CV,CF,CV,CF,J); + } + // Cork does not keep track of birth parents (to my knowledge) + J.setConstant(CF.rows(),1,-1); + }; + //mesh_boolean(VA,FA,VB,FB,type,try_cork_resolve,VC,FC,J); + break; + } + default: + assert(false && "Unknown boolean lib"); + break; + } + if(debug) + { + cout<<"Computed boolean."< + +#include +#include +#include +#include +#include + +#include +#include +#include + +#include + +void parse_rhs( + const int nrhs, + const mxArray *prhs[], + Eigen::MatrixXd & V, + Eigen::MatrixXi & F) +{ + using namespace std; + using namespace igl; + using namespace Eigen; + mexErrMsgTxt(nrhs >= 2, "The number of input arguments must be >=2."); + + const auto & parse_mesh = []( + const mxArray *prhs[], + Eigen::MatrixXd & V, + Eigen::MatrixXi & F) + { + const int dim = mxGetN(prhs[0]); + mexErrMsgTxt(dim == 3, + "Mesh vertex list must be #V by 3 list of vertex positions"); + mexErrMsgTxt(dim == mxGetN(prhs[1]), + "Mesh \"face\" simplex size must equal dimension"); + parse_rhs_double(prhs,V); + parse_rhs_index(prhs+1,F); + }; + parse_mesh(prhs,V,F); +} + +void mexFunction( + int nlhs, mxArray *plhs[], + int nrhs, const mxArray *prhs[]) +{ + using namespace std; + using namespace Eigen; + using namespace igl; + + igl::MexStream mout; + std::streambuf *outbuf = cout.rdbuf(&mout); + //mexPrintf("Compiled at %s on %s\n",__TIME__,__DATE__); + + MatrixXd V; + MatrixXi F,G; + VectorXi J,flip; + parse_rhs(nrhs,prhs,V,F); + outer_hull(V,F,G,J,flip); + + switch(nlhs) + { + default: + { + mexErrMsgTxt(false,"Too many output parameters."); + } + case 3: + { + prepare_lhs_logical(flip,plhs+2); + // Fall through + } + case 2: + { + prepare_lhs_index(J,plhs+1); + // Fall through + } + case 1: + { + prepare_lhs_index(G,plhs+0); + // Fall through + } + case 0: break; + } + + // Restore the std stream buffer Important! + std::cout.rdbuf(outbuf); +} + +#endif + + diff --git a/matlab/external/gptoolbox/mex/outer_hull.m b/matlab/external/gptoolbox/mex/outer_hull.m new file mode 100644 index 0000000..a320bcf --- /dev/null +++ b/matlab/external/gptoolbox/mex/outer_hull.m @@ -0,0 +1,19 @@ +% OUTER_HULL Compute the "outer hull" of a potentially non-manifold mesh (V,F) +% whose intersections have been "resolved" (e.g. using `cork` or +% `igl::selfintersect`). The outer hull is defined to be all facets (regardless +% of orientation) for which there exists some path from infinity to the face +% without intersecting any other facets. For solids, this is the surface of the +% solid. In general this includes any thin "wings" or "flaps". This +% implementation largely follows Section 3.6 of "Direct repair of +% self-intersecting meshes" [Attene 2014]. +% +% [G,J,flip] = outer_hull(V,F); +% +% Inputs: +% V #V by 3 list of vertex positions +% F #F by 3 list of triangle indices into V +% Outputs: +% G #G by 3 list of output triangle indices into V +% J #G list of indices into F +% flip #F list of whether facet was added to G **and** flipped orientation +% (false for faces not added to G) diff --git a/matlab/external/gptoolbox/mex/paste.h b/matlab/external/gptoolbox/mex/paste.h new file mode 100644 index 0000000..f532b2e --- /dev/null +++ b/matlab/external/gptoolbox/mex/paste.h @@ -0,0 +1,10 @@ +#include +// Get image from clipboard as an RGB image +// +// Outputs: +// IM h*w*c list of rgb pixel color values as uint8, running over height, +// then width, then rgb channels +// h height +// w width +// c channels +bool paste(unsigned char *& IM,size_t & h, size_t & w, size_t & c); diff --git a/matlab/external/gptoolbox/mex/paste.mm b/matlab/external/gptoolbox/mex/paste.mm new file mode 100644 index 0000000..ba30a0f --- /dev/null +++ b/matlab/external/gptoolbox/mex/paste.mm @@ -0,0 +1,57 @@ +#import "paste.h" +#import +#import +#import +#include + +bool paste(unsigned char *& IM,size_t & h, size_t & w, size_t & c) +{ + NSPasteboard *pasteboard = [NSPasteboard generalPasteboard]; + NSArray *classArray = [NSArray arrayWithObject:[NSImage class]]; + NSDictionary *options = [NSDictionary dictionary]; + BOOL ok = [pasteboard canReadObjectForClasses:classArray options:options]; + if(!ok) + { + //printf("Error: clipboard doesn't seem to contain image..."); + return false; + } + NSArray *objectsToPaste = [pasteboard readObjectsForClasses:classArray options:options]; + NSImage *image = [objectsToPaste objectAtIndex:0]; + NSBitmapImageRep* bitmap = [NSBitmapImageRep imageRepWithData:[image TIFFRepresentation]]; + // http://stackoverflow.com/a/19649616/148668 + w = [bitmap pixelsWide]; + h = [bitmap pixelsHigh]; + size_t rowBytes = [bitmap bytesPerRow]; + c = rowBytes/w; + unsigned char* pixels = [bitmap bitmapData]; + + //IM = new unsigned char[h*rowBytes]; + //std::copy(pixels,pixels+h*rowBytes,IM); + //std::swap(h,c); + //IM = permute(IM,[3 2 1]); + + IM = new unsigned char[w*h*c]; + for(size_t y = 0; y < h ; y++) + { + for(size_t x = 0; x < w; x++) + { + for(size_t d = 0;d +#undef assert +#define assert( isOK ) ( (isOK) ? (void)0 : (void) mexErrMsgTxt(C_STR(__FILE__<<":"<<__LINE__<<": failed assertion `"<<#isOK<<"'"< +#include +#include +#include + +#ifdef MEX +# include "mex.h" +#endif + +#include +#include + +void mexFunction(int nlhs, mxArray *plhs[], + int nrhs, const mxArray *prhs[]) +{ + // This is useful for debugging whether Matlab is caching the mex binary + //mexPrintf("%s %s\n",__TIME__,__DATE__); + igl::MexStream mout; + std::streambuf *outbuf = std::cout.rdbuf(&mout); + + using namespace std; + using namespace Eigen; + using namespace igl; + + MatrixXd P,V,C; + VectorXi I; + VectorXd sqrD; + MatrixXi F; + if(nrhs < 3) + { + mexErrMsgTxt("nrhs < 3"); + } + parse_rhs_double(prhs,P); + parse_rhs_double(prhs+1,V); + parse_rhs_index(prhs+2,F); + mexErrMsgTxt(P.cols()==3,"P must be #P by 3"); + mexErrMsgTxt(V.cols()==3,"V must be #V by 3"); + mexErrMsgTxt(F.cols()==3 || F.cols()==2 || F.cols()==1,"F must be #F by (3|2|1)"); + + point_mesh_squared_distance(P,V,F,sqrD,I,C); + // Prepare left-hand side + switch(nlhs) + { + case 3: + { + // Treat indices as reals + plhs[2] = mxCreateDoubleMatrix(C.rows(),C.cols(), mxREAL); + double * Cp = mxGetPr(plhs[2]); + copy(&C.data()[0],&C.data()[0]+C.size(),Cp); + // Fallthrough + } + case 2: + { + // Treat indices as reals + plhs[1] = mxCreateDoubleMatrix(I.rows(),I.cols(), mxREAL); + double * Ip = mxGetPr(plhs[1]); + VectorXd Id = (I.cast().array()+1).matrix(); + copy(&Id.data()[0],&Id.data()[0]+Id.size(),Ip); + // Fallthrough + } + case 1: + { + plhs[0] = mxCreateDoubleMatrix(sqrD.rows(),sqrD.cols(), mxREAL); + double * sqrDp = mxGetPr(plhs[0]); + copy(&sqrD.data()[0],&sqrD.data()[0]+sqrD.size(),sqrDp); + break; + } + default:break; + } + + // Restore the std stream buffer Important! + std::cout.rdbuf(outbuf); +} diff --git a/matlab/external/gptoolbox/mex/point_mesh_squared_distance.m b/matlab/external/gptoolbox/mex/point_mesh_squared_distance.m new file mode 100644 index 0000000..db96650 --- /dev/null +++ b/matlab/external/gptoolbox/mex/point_mesh_squared_distance.m @@ -0,0 +1,26 @@ +% Compute distances from a set of points P to a triangle mesh (V,F) +% +% [sqrD,I,C] = point_mesh_squared_distance(P,V,F); +% +% Inputs: +% P #P by 3 list of query point positions +% V #V by 3 list of vertex positions +% F #F by (3|2|1) list of triangle|edge|point indices +% Outputs: +% sqrD #P list of smallest squared distances +% I #P list of facet indices corresponding to smallest distances +% C #P by 3 list of closest points +% +% Known bugs: This only computes distances to given primitives. So unreferenced +% vertices are ignored. +% +% Examples: +% [sqrD,I,C] = point_mesh_squared_distance(P,V,F); +% B = barycentric_coordinates(C,V(F(I,1),:),V(F(I,2),:),V(F(I,3),:)); +% on_face = sum(B<1e-15)==0; +% on_edge = sum(B<1e-15)==1; +% on_vertex = sum(B<1e-15)==2; +% N_face = normalizerows(normals(F)); +% N_vertex = per_vertex_normals(V,F); +% per_edge_normals +% diff --git a/matlab/external/gptoolbox/mex/ray_mesh_intersect.cpp b/matlab/external/gptoolbox/mex/ray_mesh_intersect.cpp new file mode 100644 index 0000000..bf93c4d --- /dev/null +++ b/matlab/external/gptoolbox/mex/ray_mesh_intersect.cpp @@ -0,0 +1,126 @@ +#include "ray_mesh_intersect.h" + +/* + * RAY_MESH_INTERSECT Ray/mesh intersection using the algorithm proposed by + * Möller and Trumbore (1997). + * + * [flag, t, lambda_1, lambda_2, lambda_3] = ray_mesh_intersect(o, d, V, F); + * + * Input: + * o 3D vector ray origin. + * d 3D vector ray direction. + * V #V by 3 list of vertex positions + * F #F by 3 list of triangle indices + * Output: + * flag #F list of bools: (false) Reject, (true) Intersect. + * t #F list of distances from the ray origin. + * lambda: #F by 3 list of barycentric coordinate of hits on each triangle + * Modified from code by: + * Jesus Mena + * + * mex ray_mesh_intersect.cpp + * + */ + +void parse_rhs( + int nrhs, + const mxArray *prhs[], + double *& o, + double *& d, + double *& V, + int & n, + double *& F, + int & m) +{ + mexErrMsgTxt( + (mxGetM(prhs[0]) * mxGetN(prhs[0])) == 3, + "Ray origin must be 3d row or column vector"); + // set origin pointer + o = mxGetPr(prhs[0]); + + mexErrMsgTxt( + (mxGetM(prhs[1]) * mxGetN(prhs[1])) == 3, + "Ray direction must be 3d row or column vector"); + // set direction pointer + d = mxGetPr(prhs[1]); + + mexErrMsgTxt(mxGetN(prhs[2]) == 3, + "Mesh vertex list must be #V by 3 list of 3D vertex positions"); + // set number of mesh vertices + n = mxGetM(prhs[2]); + // set vertex position pointers + V = mxGetPr(prhs[2]); + + mexErrMsgTxt(mxGetN(prhs[3]) == 3, + "Mesh face list must be #F by 3 list of triangle indices"); + // set number of faces + m = mxGetM(prhs[3]); + // set face index list pointer + F = mxGetPr(prhs[3]); +} + +void prepare_lhs( + int nlhs, + mxArray *plhs[], + int m, + mxLogical *& flag, + double *& t, + double *& lambda) +{ + // Create pointers for output arrays + if(nlhs > 0) + { + // hit or not + plhs[0] = mxCreateLogicalMatrix(m,1); + flag = mxGetLogicals(plhs[0]); + } + if(nlhs > 1) + { + // distances + plhs[1] = mxCreateDoubleMatrix(m,1, mxREAL); + t = mxGetPr(plhs[1]); + } + if(nlhs > 2) + { + // barycentric coordinates + plhs[2] = mxCreateDoubleMatrix(m,3, mxREAL); + lambda = mxGetPr(plhs[2]); + } +} + +void mexFunction(int nlhs, mxArray *plhs[], + int nrhs, const mxArray *prhs[]) +{ + mexErrMsgTxt(nrhs == 4, "The number of input arguments must be 4."); + + + // 3D ray origin + double * o; + // 3D ray direction + double * d; + // vertex position list + double * V; + // face list + double * F; + // number of mesh vertices + int n; + // number of mesh faces + int m; + parse_rhs(nrhs,prhs,o,d,V,n,F,m); + + // #F list of bools whether face intersects ray + mxLogical * flag = NULL; + // #F list of distances from the ray origin + double * t = NULL; + // #F list of barycentric coordinate cooresponding to hits on each triangle + double * lambda = NULL; + prepare_lhs(nlhs,plhs,m,flag,t,lambda); + // Just do nothing if no outputs + if( flag == NULL) + { + return; + } + + ray_mesh_intersect(o,d,V,F,n,m,flag,t,lambda); +} + diff --git a/matlab/external/gptoolbox/mex/ray_mesh_intersect.h b/matlab/external/gptoolbox/mex/ray_mesh_intersect.h new file mode 100644 index 0000000..cef27c0 --- /dev/null +++ b/matlab/external/gptoolbox/mex/ray_mesh_intersect.h @@ -0,0 +1,164 @@ +#include "mex.h" +#include + +// Overload mexErrMsgTxt to check an assertion then print text only if +// assertion fails +void mexErrMsgTxt(bool assertion, const char * text) +{ + if(!assertion) + { + mexErrMsgTxt(text); + } +} +void mexPrintVector(const double * a, bool newline = true) +{ + mexPrintf("%g %g %g",a[0],a[1],a[2]); + if(newline) + { + mexPrintf("\n"); + } +} + +// return dot(a,b) +double dot(const double * a, const double * b) +{ + return a[0]*b[0] + a[1]*b[1] + a[2]*b[2]; +} + +// c = cross(a,b) +void cross(const double * a, const double * b, double *c) +{ + c[0] = a[1]*b[2]-a[2]*b[1]; + c[1] = a[2]*b[0]-a[0]*b[2]; + c[2] = a[0]*b[1]-a[1]*b[0]; +} + + +#define EPSILON 2e-16 +mxLogical ray_triangle_intersect( + const double o[3], + const double ud[3], + const double p1[3], + const double p2[3], + const double p3[3], + double & ti, + double & lambda0, + double & lambda1, + double & lambda2) +{ + + // compute edge vectors + double e31[3],e32[3]; + e31[0] = p1[0] - p3[0]; e31[1] = p1[1] - p3[1]; e31[2] = p1[2] - p3[2]; + e32[0] = p2[0] - p3[0]; e32[1] = p2[1] - p3[1]; e32[2] = p2[2] - p3[2]; + // compute d cross e32 + double q[3]; + cross(ud,e32,q); + // compute e31 dot q + double a = dot(e31,q); + // direction parallel to plane + if(a > -EPSILON && a < EPSILON) + { + return false; + } + double f = 1/a; + double s[3]; + s[0] = o[0]-p3[0]; + s[1] = o[1]-p3[1]; + s[2] = o[2]-p3[2]; + lambda0 = f*dot(s,q); + // first BC says the intersection is outside the triangle + if( lambda0 < 0) + { + return false; + } + double r[3]; + cross(s,e31,r); + lambda1 = f*dot(r,ud); + // third BC is implicitly defined by first two since they always sum to one + lambda2 = 1-(lambda0 + lambda1); + // second or implicitly third BC says the intersection is outside the + // triangle + if( lambda1 < 0 || lambda2 < 0) + { + return false; + } + // Now we know that the line of the ray intersects the triangle, we just + // need to check the direction + ti = f*dot(e32,r); + // wrong side of ray line + if(ti < 0) + { + return false; + } + // Passed all tests: we know it's a hit + return true; +} + + +/* + * RAY_MESH_INTERSECT Ray/mesh intersection using the algorithm proposed by + * Möller and Trumbore (1997). + * + * [flag, t, lambda_1, lambda_2, lambda_3] = ray_mesh_intersect(o, d, V, F); + * + * Input: + * o 3D vector ray origin. + * d 3D vector ray direction. + * V #V by 3 list of vertex positions + * F #F by 3 list of triangle indices + * Output: + * flag #F list of bools: (false) Reject, (true) Intersect. + * t #F list of distances from the ray origin. + * lambda: #F by 3 list of barycentric coordinate of hits on each triangle + * Modified from code by: + * Jesus Mena + */ + +void ray_mesh_intersect( + const double * o, + const double * d, + const double * V, + const double * F, + int n, + int m, + mxLogical * flag, + double * t, + double * lambda) +{ + // normalize d + double ud[3]; + double d_len = sqrt(d[0]*d[0] + d[1]*d[1] + d[2]*d[2]); + ud[0] = d[0]/d_len; + ud[1] = d[1]/d_len; + ud[2] = d[2]/d_len; + // reusable corner positions + double p1[3], p2[3], p3[3]; + // loop over triangles + for(size_t i = 0; i < m; i++) + { + // grab corner indices into V + int i1 = (int)F[m*0+i]-1; + int i2 = (int)F[m*1+i]-1; + int i3 = (int)F[m*2+i]-1; + // grab corner positions + p1[0] = V[n*0 + i1]; p1[1] = V[n*1 + i1]; p1[2] = V[n*2 + i1]; + p2[0] = V[n*0 + i2]; p2[1] = V[n*1 + i2]; p2[2] = V[n*2 + i2]; + p3[0] = V[n*0 + i3]; p3[1] = V[n*1 + i3]; p3[2] = V[n*2 + i3]; + double ti, lambda0, lambda1, lambda2; + flag[i] = + ray_triangle_intersect(o,ud,p1,p2,p3,ti,lambda0,lambda1,lambda2); + + // only set other outputs if hit + if(NULL != lambda) + { + lambda[m*0 + i] = lambda0; + lambda[m*1 + i] = lambda1; + lambda[m*2 + i] = lambda2; + } + if(NULL != t) + { + t[i] = ti; + } + } +} diff --git a/matlab/external/gptoolbox/mex/selfintersect.cpp b/matlab/external/gptoolbox/mex/selfintersect.cpp new file mode 100644 index 0000000..f6bd78c --- /dev/null +++ b/matlab/external/gptoolbox/mex/selfintersect.cpp @@ -0,0 +1,350 @@ +// = Compile = +// I've noticed that the default gcc/g++ can be a lot of trouble with the mex, +// cgal, boost constellation. On Mac OS X I recommend using gcc-4.7. I have had +// bad experiences with gcc-4.3, resulting in bogus runtime errors and +// assertions. +// +// = mexopts.sh = +// Setting up your mexopts properly on a Mac depends on which version of XCode +// you have installed. +// +// Open up mexopts.sh. First you need to point the SDKROOT variable to your +// sdk. This is usually either something like: +// +// SDKROOT='/Applications/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.7.sdk/' +// +// or +// +// SDKROOT='/Developer/SDKs/MacOSX10.7.sdk' +// +// Next, you need to remove the -no-cpp-precomp flag and add the +// -frounding-math flag to your CFLAGS and CXXFLAGS +// +// I also found it best to change CC and CXX to point to a g++-4.7 (or +// g++-mp-4.7), but clang should also work. +// +// To mex on a mac, open up matlab and issue: +// +// % Alec's Macbook Air, Intel Core i7, 10.7.5, MATLAB 2012a, XCode 4.3.3, +// % Boost 1.52.0_1, CGAL 4.1, g++-mp-4.7 +// mex -v -DMEX selfintersect.cpp ... +// -Isrc -I/opt/local/include/ -I/opt/local/include/eigen3 ... +// -I/usr/local/igl/libigl/include -L/opt/local/lib ... +// -lCGAL -lCGAL_Core -lgmp -lmpfr ... +// -lboost_thread-mt -lboost_system-mt +// +// If you have a non-standard installation of eigen3 and libigl, you will need +// to be sure that in the mex commands above you change: +// +// /usr/local/igl/libigl ---> path to libigl directory +// /opt/local/include/eigen3---> path to eigen3 directory +// /opt/local/include/ ---> path to CGAL/Boost/gmp/mpfr include directory +// /opt/local/lib/ ---> path to CGAL/Boost/gmp/mpfr lib directory +// +// = libboost = +// It seems MATLAB 2012b's libboost does not play nicely with macports +// libboost-mt. Should compile with matlab's libboost directly: -lboost_* +// rather than -lboost_*-mt +// +// % Alec's iMac, Intel Core i7, 10.7.5, MATLAB 2012b, XCode 4.2, Boost +// % 1.52.0_1, CGAL 4.1, g++-mp-4.7 +// +// = Run = +// You can then run these with the following examples: +// +// V1 = [0 0 0;1 0 0;0 1 0;0.5 0.5 0.5;0 0 -0.5;1 1 -0.5]; +// F1 = [1 2 3;4 5 6]; +// [SV,SF] = selfintersect(V1,F1); +// +#ifdef MEX +# include +# include +# undef assert +# define assert( isOK ) ( (isOK) ? (void)0 : (void) mexErrMsgTxt(C_STR(__FILE__<<":"<<__LINE__<<": failed assertion `"<<#isOK<<"'"< +#include +#include +#include +#include +#endif +#include +#include +#ifdef MEX +# define IGL_REDRUM_NOOP +#endif +#include +#ifdef MEX +# include +# include +# include +#endif +#include + +#ifdef MEX +# include "mex.h" +#endif + +#include +#include + +#ifdef MEX +void mexFunction(int nlhs, mxArray *plhs[], + int nrhs, const mxArray *prhs[]) +{ + // This is useful for debugging whether Matlab is caching the mex binary + //mexPrintf("%s %s\n",__TIME__,__DATE__); + igl::MexStream mout; + std::streambuf *outbuf = std::cout.rdbuf(&mout); + +#else +int main(int argc, char * argv[]) +{ +#endif + using namespace std; + using namespace Eigen; + using namespace igl; + + MatrixXd V; + MatrixXi F; + RemeshSelfIntersectionsParam params; + + string prefix; + bool use_obj_format = false; +#ifdef MEX + if(nrhs < 2) + { + mexErrMsgTxt("nrhs < 2"); + } + parse_rhs_double(prhs,V); + parse_rhs_index(prhs+1,F); + mexErrMsgTxt(V.cols()==3,"V must be #V by 3"); + mexErrMsgTxt(F.cols()==3,"F must be #F by 3"); + + if(nrhs>2) + { + int i = 2; + while(i=nrhs) + { + mexErrMsgTxt(C_STR("Parameter '"<=nrhs) + { + mexErrMsgTxt(C_STR("Parameter '"<2) + { + //http://stackoverflow.com/a/9748431/148668 + char *p; + long d = strtol(argv[2], &p, 10); + if (errno != 0 || *p != '\0') + { + cerr<<"detect only param should be 0 or 1"<0) + { + // Check that there aren't any combinatorially or geometrically degenerate triangles + VectorXd A; + doublearea(V,F,A); + if(A.minCoeff()<=0) + { +#ifdef MEX + mexErrMsgTxt("Geometrically degenerate face found."); +#else + cerr<<"Geometrically degenerate face found."<().array()+1).matrix(); + copy(&IMd.data()[0],&IMd.data()[0]+IMd.size(),IMp); + // Fallthrough + } + case 4: + { + // Treat indices as reals + plhs[3] = mxCreateDoubleMatrix(J.rows(),J.cols(), mxREAL); + double * Jp = mxGetPr(plhs[3]); + VectorXd Jd = (J.cast().array()+1).matrix(); + copy(&Jd.data()[0],&Jd.data()[0]+Jd.size(),Jp); + // Fallthrough + } + case 3: + { + // Treat indices as reals + plhs[2] = mxCreateDoubleMatrix(IF.rows(),IF.cols(), mxREAL); + double * IFp = mxGetPr(plhs[2]); + MatrixXd IFd = (IF.cast().array()+1).matrix(); + copy(&IFd.data()[0],&IFd.data()[0]+IFd.size(),IFp); + // Fallthrough + } + case 2: + { + // Treat indices as reals + plhs[1] = mxCreateDoubleMatrix(F.rows(),F.cols(), mxREAL); + double * Fp = mxGetPr(plhs[1]); + MatrixXd Fd = (F.cast().array()+1).matrix(); + copy(&Fd.data()[0],&Fd.data()[0]+Fd.size(),Fp); + // Fallthrough + } + case 1: + { + plhs[0] = mxCreateDoubleMatrix(V.rows(),V.cols(), mxREAL); + double * Vp = mxGetPr(plhs[0]); + copy(&V.data()[0],&V.data()[0]+V.size(),Vp); + break; + } + default:break; + } + + // Restore the std stream buffer Important! + std::cout.rdbuf(outbuf); + +#else + return 0; +#endif +} diff --git a/matlab/external/gptoolbox/mex/selfintersect.m b/matlab/external/gptoolbox/mex/selfintersect.m new file mode 100644 index 0000000..2325aa3 --- /dev/null +++ b/matlab/external/gptoolbox/mex/selfintersect.m @@ -0,0 +1,46 @@ +% SELFINTERSECT Given a triangle mesh (V,F) compute a new mesh (VV,FF) which is the same as +% (V,F) except that any self-intersecting triangles in (V,F) have been +% subdivided (new vertices and face created) so that the self-intersection +% contour lies exactly on edges in (VV,FF). New vertices will appear in +% original faces or on original edges. New vertices on edges are "merged" only +% across original faces sharing that edge. This means that if the input +% triangle mesh is a closed manifold the output will be too. +% +% [VV,FF,IF] = selfintersect(V,F,'ParameterName',ParameterValue, ...) +% +% Inputs: +% V #V by 3 list of vertex positions +% F #F by 3 list of triangle indices into V +% Optional: +% 'DetectOnly' followed by bool. Whether to only detect intersecting pairs +% (sets IF but not VV or FF) +% 'FirstOnly' followed by bool whether to only detect the first +% intersection. +% Outputs: +% VV #VV by 3 list of vertex positions +% FF #FF by 3 list of triangle indices into V +% IF #intersecting face pairs by 2 list of intersecting face pairs, +% indexing F +% J #FF list of indices into F of birth parents +% IM #VV list of indices into VV of unique verticse +% +% Example: +% [SV,SF,~,~,IM] = selfintersect(V,F); +% FF = IM(SF); +% [U,IM] = remove_unreferenced(SV,FF); +% G = IM(FF); +% +% % Self-Intersect (V,F)+(U,G) and separate +% VU = [V;U]; +% FG = [F;size(V,1)+G]; +% [SVU,SFG,~,J] = selfintersect(VU,FG); +% SF = SFG(J<=size(F,1),:); +% SG = SFG(J>size(F,1),:); +% [SV,IM] = remove_unreferenced(SVU,SF); +% SF = IM(SF); +% [SU,IM] = remove_unreferenced(SVU,SG); +% SG = IM(SG); +% +% + +% See selfintersect.h, selfintersect.cpp for mex implementation diff --git a/matlab/external/gptoolbox/mex/signed_distance.cpp b/matlab/external/gptoolbox/mex/signed_distance.cpp new file mode 100644 index 0000000..094ee3f --- /dev/null +++ b/matlab/external/gptoolbox/mex/signed_distance.cpp @@ -0,0 +1,238 @@ +#ifdef MEX +// mex -v -largeArrayDims -DMEX ... +// -IC:/Users/tkach/OneDrive/EPFL/Code/External/libigl/include ... +// -IC:/Users/tkach/OneDrive/EPFL/Code/External/eigen_dir ... +// signed_distance.cpp + +#include +#include "igl/C_STR.h" +#include "igl/matlab/mexErrMsgTxt.h" +#undef assert +#define assert( isOK ) ( (isOK) ? (void)0 : (void) mexErrMsgTxt(C_STR(__FILE__<<":"<<__LINE__<<": failed assertion `"<<#isOK<<"'"< +#include + +void parse_rhs( + const int nrhs, + const mxArray *prhs[], + Eigen::MatrixXd & P, + Eigen::MatrixXd & V, + Eigen::MatrixXi & F, + igl::SignedDistanceType & type) +{ + using namespace std; + using namespace igl; + using namespace Eigen; + igl::matlab::mexErrMsgTxt(nrhs >= 3, "The number of input arguments must be >=3."); + + const int dim = mxGetN(prhs[0]); + igl::matlab::mexErrMsgTxt(dim == 3, + "Mesh vertex list must be #P by 3 list of vertex positions"); + igl::matlab::mexErrMsgTxt(mxGetN(prhs[1]) == 3, + "Mesh vertex list must be #V by 3 list of vertex positions"); + + igl::matlab::mexErrMsgTxt(dim == mxGetN(prhs[2]), + "Mesh \"face\" simplex size must equal dimension"); + + igl::matlab::parse_rhs_double(prhs,P); + igl::matlab::parse_rhs_double(prhs+1,V); + igl::matlab::parse_rhs_index(prhs+2,F); + + type = SIGNED_DISTANCE_TYPE_PSEUDONORMAL; + { + int i = 3; + while(i g_tree; + static igl::WindingNumberAABB g_hier; + static Eigen::MatrixXd g_FN,g_VN,g_EN; + static Eigen::MatrixXi g_E; + static Eigen::VectorXi g_EMAP; + +void mexFunction( + int nlhs, mxArray *plhs[], + int nrhs, const mxArray *prhs[]) +{ + using namespace std; + using namespace Eigen; + using namespace igl; + + igl::matlab::MexStream mout; + //std::streambuf *outbuf = cout.rdbuf(mout); + //mexPrintf("Compiled at %s on %s\n",__TIME__,__DATE__); + + MatrixXd P,V,C,N; + MatrixXi F; + VectorXi I; + VectorXd S; + SignedDistanceType type; + parse_rhs(nrhs,prhs,P,V,F,type); + + if(g_sign_type != type || g_V != V || g_F != F) + { + g_V = V; + g_F = F; + g_sign_type = type; + // Clear the tree + g_tree.deinit(); + + // Prepare distance computation + g_tree.init(V,F); + switch(type) + { + default: + assert(false && "Unknown SignedDistanceType"); + case SIGNED_DISTANCE_TYPE_DEFAULT: + case SIGNED_DISTANCE_TYPE_WINDING_NUMBER: + g_hier.set_mesh(V,F); + g_hier.grow(); + break; + case SIGNED_DISTANCE_TYPE_PSEUDONORMAL: + // "Signed Distance Computation Using the Angle Weighted Pseudonormal" + // [Bærentzen & Aanæs 2005] + per_face_normals(V,F,g_FN); + per_vertex_normals(V,F,PER_VERTEX_NORMALS_WEIGHTING_TYPE_ANGLE, + g_FN,g_VN); + per_edge_normals( + V,F,PER_EDGE_NORMALS_WEIGHTING_TYPE_UNIFORM, + g_FN,g_EN,g_E,g_EMAP); + break; + } + } + + N.resize(P.rows(),3); + S.resize(P.rows(),1); + I.resize(P.rows(),1); + C.resize(P.rows(),3); + for(int p = 0;p +#include +#include +#include +#include +#include + +#include +#include +#include + +#include + +void parse_rhs( + const int nrhs, + const mxArray *prhs[], + Eigen::MatrixXd & IV, + Eigen::MatrixXi & IF, + double & level, + double & angle_bound, + double & radius_bound, + double & distance_bound, + igl::SignedDistanceType & type) +{ + using namespace std; + using namespace igl; + using namespace Eigen; + mexErrMsgTxt(nrhs >= 2, "The number of input arguments must be >=2."); + + const int dim = mxGetN(prhs[0]); + mexErrMsgTxt(dim == 3, + "Mesh vertex list must be #V by 3 list of vertex positions"); + + parse_rhs_double(prhs,IV); + parse_rhs_index(prhs+1,IF); + + // defaults + level = 0.0; + angle_bound = 28.0; + double bbd = 1.0; + // Radius and distance in terms of fraction of bbd + if(IV.size() > 0) + { + bbd = (IV.colwise().maxCoeff()-IV.colwise().minCoeff()).norm(); + } + radius_bound = 0.02*bbd; + distance_bound = 0.02*bbd; + type = SIGNED_DISTANCE_TYPE_DEFAULT; + + { + int i = 2; + while(i +#include + +// SOLID_ANGLE Compute the solid angle of a triangle (tetrahedron) described +// by points (vectors) V +// +// Inputs: +// V n by 3 list of vertex positions +// n number of mesh vertices +// F #F by 3 list of triangle indices +// m number of faces +// O 3 by no list of origin positions +// no number of origins +// Outputs: +// S no by f list of solid angles +// +void solid_angle_mex_2( + const double * V, + const int n, + const double * F, + const int m, + const double * O, + const int no, + double * S); + +// Overload mexErrMsgTxt to check an assertion then print text only if +// assertion fails +static void mexErrMsgTxt(bool assertion, const char * text) +{ + if(!assertion) + { + mexErrMsgTxt(text); + } +} +static void mexPrintVector(const double * a, bool newline = true) +{ + mexPrintf("%g %g %g",a[0],a[1],a[2]); + if(newline) + { + mexPrintf("\n"); + } +} + +// Parse right hand side arguments +// +// Inputs: +// nrhs number of right hand side arguments +// prhs pointer to right hand side arguments +// Outputs: +// V n by 3 list of mesh vertex positions +// n number of vertices +// F m by 3 list of mesh face indices +// m number of faces +// O o by 3 list of origins +// no number of origins +void parse_rhs( + const int nrhs, + const mxArray *prhs[], + double *& V, + int & n, + double *& F, + int & m, + double *& O, + int & no) +{ + mexErrMsgTxt(mxGetN(prhs[0]) == 3, + "Mesh vertex list must be #V by 3 list of 3D vertex positions"); + // set number of mesh vertices + n = mxGetM(prhs[0]); + // set vertex position pointers + V = mxGetPr(prhs[0]); + + mexErrMsgTxt(mxGetN(prhs[1]) == 3, + "Mesh face list must be #F by 3 list of triangle indices"); + // set number of faces + m = mxGetM(prhs[1]); + // set face index list pointer + F = mxGetPr(prhs[1]); + + mexErrMsgTxt(mxGetN(prhs[2]) == 3, + "Origin list must be #O by 3 list of 3D positions"); + // set number of faces + no = mxGetM(prhs[2]); + // set face index list pointer + O = mxGetPr(prhs[2]); +} + +// Prepare left hand side +// +// Inputs: +// nlhs number of left hand side arguments +// plhs pointer to left hand side arguments +// m number of faces +// no number of origins +// Outputs: +// S o by m list of solid angles +void prepare_lhs( + const int nlhs, + mxArray *plhs[], + const int m, + const int no, + double *& S) +{ + // Create pointers for output arrays + if(nlhs > 0) + { + // solid angles + plhs[0] = mxCreateDoubleMatrix(no,m, mxREAL); + S = mxGetPr(plhs[0]); + } +} + +void solid_angle_mex2( + const double * V, + const int n, + const double * F, + const int m, + const double * O, + const int no, + double * S) +{ + // loop over faces +#pragma omp parallel for + for(int f = 0;f +#include +#include +#include +#include +#include +#include +#ifdef WITH_EMBREE +# include +#endif +#include + +#include +#include +#include + +void mexFunction( + int nlhs, mxArray *plhs[], + int nrhs, const mxArray *prhs[]) +{ + using namespace std; + using namespace Eigen; + using namespace igl; + + igl::MexStream mout; + std::streambuf *outbuf = cout.rdbuf(&mout); + //mexPrintf("Compiled at %s on %s\n",__TIME__,__DATE__); + + // vertex position list + double * V; + // face list + double * Ftemp; + // origin list + double * O; + // number of dimensions (and simplex size in F) + int dim; + // number of mesh vertices + int n; + // number of mesh faces + int m; + // number of origins + int no; + winding_number_params params; + parse_rhs(nrhs,prhs,dim,V,n,Ftemp,m,O,no,params); + + double * F = new double[dim*m]; + // convert to 0-index + //transform(Ftemp,Ftemp+m*dim,F,bind2nd(plus(),-1.0)); + for(int i = 0;i(),FF); + + // loop over origins +# pragma omp parallel for if (no>IGL_WINDING_NUMBER_OMP_MIN_VALUE) + for(int o = 0;o hier(MV,MF); + // Build hierarchy + hier.grow(); + // loop over origins +# pragma omp parallel for if (no>IGL_WINDING_NUMBER_OMP_MIN_VALUE) + for(int o = 0;o +#include +#include + +// Overload mexErrMsgTxt to check an assertion then print text only if +// assertion fails +static void mexErrMsgTxt(bool assertion, const char * text) +{ + if(!assertion) + { + mexErrMsgTxt(text); + } +} + +void parse_rhs( + const int nrhs, + const mxArray *prhs[], + int & dim, + double *& V, + int & n, + double *& F, + int & m, + double *& O, + int & no, + winding_number_params & params) +{ + using namespace std; + mexErrMsgTxt(nrhs >= 3, "The number of input arguments must be >=3."); + + dim = mxGetN(prhs[0]); + mexErrMsgTxt(dim == 3 || dim == 2, + "Mesh vertex list must be #V by 2 or 3 list of vertex positions"); + + mexErrMsgTxt(dim == mxGetN(prhs[1]), + "Mesh \"face\" simplex size must equal dimension"); + + // set number of mesh vertices + n = mxGetM(prhs[0]); + // set vertex position pointers + V = mxGetPr(prhs[0]); + + // set number of faces + m = mxGetM(prhs[1]); + // set face index list pointer + F = mxGetPr(prhs[1]); + + mexErrMsgTxt(mxGetN(prhs[2]) == dim, + "Origin list dimension must match vertex list dimension"); + // set number of faces + no = mxGetM(prhs[2]); + // set face index list pointer + O = mxGetPr(prhs[2]); + + // Default values + params.hierarchical = true; + params.ray_cast = false; + params.ray_parity = false; + params.num_rays = 32; + params.twod_rays = false; + { + int i = 3; + while(i +// Struct to hold winding number parameters +struct winding_number_params +{ + // Whether to use hierarchical evaluation + bool hierarchical; + // Whether to use Ray tracing + bool ray_cast; + // Use parity version + bool ray_parity; + // Number of rays + int num_rays; + // 2d rays only + bool twod_rays; +}; + +// Parse right hand side arguments +// +// Inputs: +// nrhs number of right hand side arguments +// prhs pointer to right hand side arguments +// Outputs: +// dim number of dimensions == simplex size in F +// V n by dim list of mesh vertex positions +// n number of vertices +// F m by dim list of mesh face indices +// m number of faces +// O o by dim list of origins +// no number of origins +void parse_rhs( + const int nrhs, + const mxArray *prhs[], + int & dim, + double *& V, + int & n, + double *& F, + int & m, + double *& O, + int & no, + winding_number_params & params); +#endif + diff --git a/matlab/external/gptoolbox/mex/winding_number/prepare_lhs.cpp b/matlab/external/gptoolbox/mex/winding_number/prepare_lhs.cpp new file mode 100644 index 0000000..6420741 --- /dev/null +++ b/matlab/external/gptoolbox/mex/winding_number/prepare_lhs.cpp @@ -0,0 +1,18 @@ +#ifdef MEX +#include "prepare_lhs.h" + +void prepare_lhs( + const int nlhs, + mxArray *plhs[], + const int no, + double *& S) +{ + // Create pointers for output arrays + if(nlhs > 0) + { + // solid angles + plhs[0] = mxCreateDoubleMatrix(no,1, mxREAL); + S = mxGetPr(plhs[0]); + } +} +#endif diff --git a/matlab/external/gptoolbox/mex/winding_number/prepare_lhs.h b/matlab/external/gptoolbox/mex/winding_number/prepare_lhs.h new file mode 100644 index 0000000..44da522 --- /dev/null +++ b/matlab/external/gptoolbox/mex/winding_number/prepare_lhs.h @@ -0,0 +1,18 @@ +#ifndef PREPARE_LHS_H +#define PREPARE_LHS_H +#include +// Prepare left hand side +// +// Inputs: +// nlhs number of left hand side arguments +// plhs pointer to left hand side arguments +// no number of origins +// Outputs: +// S no by 1 list of solid angles +void prepare_lhs( + const int nlhs, + mxArray *plhs[], + const int no, + double *& S); + +#endif diff --git a/matlab/external/gptoolbox/mex/winding_number/triangle_tree.cpp b/matlab/external/gptoolbox/mex/winding_number/triangle_tree.cpp new file mode 100644 index 0000000..d8aa79e --- /dev/null +++ b/matlab/external/gptoolbox/mex/winding_number/triangle_tree.cpp @@ -0,0 +1,24 @@ +#include "triangle_tree.h" +#include + +void triangle_tree( + const Eigen::MatrixXd & V, + const Eigen::MatrixXi & F, + TriTree & tree, + TriangleList & tlist) +{ + assert(F.cols() == 3); + tlist.clear(); + + // Loop over facets + for(int f = 0;f +#include "CGAL_typedefs.h" + +// Construct an AABB tree using CGAL and fill it with the triangles of a +// triangle mesh (V,F) +// +// Inputs: +// V #V by 3 list of vertex positions +// F #F by 3 list of triangle indices +// Outputs: +// Tree AABB tree containing triangles +// tlist list of triangles +void triangle_tree( + const Eigen::MatrixXd & V, + const Eigen::MatrixXi & F, + TriTree & tree, + TriangleList & tlist); +#endif diff --git a/matlab/external/gptoolbox/mex/winding_number/winding_number_ray.cpp b/matlab/external/gptoolbox/mex/winding_number/winding_number_ray.cpp new file mode 100644 index 0000000..78273ba --- /dev/null +++ b/matlab/external/gptoolbox/mex/winding_number/winding_number_ray.cpp @@ -0,0 +1,218 @@ +#include "winding_number_ray.h" + +#include +#include + +#include +#include + +void igl::winding_number_ray_parity( + const igl::EmbreeIntersector & ei, + const Eigen::MatrixXd & N, + const Eigen::Vector3d & p, + const Eigen::Vector3d & dir, + double & w, + int & num_rays_shot) +{ + using namespace std; + using namespace Eigen; + double count = 0.0; + vector hits; + ei.intersectRay(p.cast(),dir.cast(),hits,num_rays_shot); + const int m = N.rows(); + int prev_id = -1; + for(vector::iterator hit = hits.begin(); + hit != hits.end(); + hit++) + { + const int id = hit->id % m; +#ifdef VERBOSE + cout<u<<" "<v<<" "<<(1-(hit->u+hit->v))<<")"<<" "; +#endif + // HACK: skip consequetive hits on same triangle + if(id == prev_id) + { + continue; + } + // "entering" or "exiting" + count++; + count = ((int)count % 2); + prev_id = id; + } +#ifdef VERBOSE + cout< hits; + ei.intersectRay(p.cast(),dir.cast(),hits,num_rays_shot); + const int m = N.rows(); + int prev_id = -1; + for(vector::iterator hit = hits.begin(); + hit != hits.end(); + hit++) + { + const int id = hit->id % m; +#ifdef VERBOSE + cout<u<<" "<v<<" "<<(1-(hit->u+hit->v))<<")"<<" "; +#endif + // HACK: skip consequetive hits on same triangle + if(id == prev_id) + { + continue; + } + // "entering" or "exiting" + count += (dir.dot(N.row(id)) > 0 ? 1: -1); + prev_id = id; + } +#ifdef VERBOSE + cout< primitives; + tree.all_intersected_primitives(ray, back_inserter(primitives)); + double count = 0; + for( + list::const_iterator pit = primitives.begin(); + pit != primitives.end(); + pit++) + { + const TriangleListConstIterator tit = *pit; + //std::size_t index_in_vector = std::distance(tlist.begin(),tit); + const Triangle3 & t = *tit; + // dot product + double s = d * t.supporting_plane().orthogonal_vector(); + if(s>0) + { + count += 1; + }else + { + count += -1; + } + } + w = count; + +} +#endif + +//void winding_number_ray( +// const SegTree & tree, +// const SegmentList & slist, +// const Eigen::Vector2d & p, +// const Eigen::Vector2d & dir, +// double & w, +// int & num_rays_shot) +//{ +// using namespace std; +// using namespace igl; +// Vector3 d(dir(0),dir(1),dir(2)); +// Ray3 ray(Point3(p(0),p(1),p(2)),d); +// // computes all intersected primitives with segment query as primitive ids +// list primitives; +// tree.all_intersected_primitives(ray, back_inserter(primitives)); +// double count = 0; +// for( +// list::const_iterator pit = primitives.begin(); +// pit != primitives.end(); +// pit++) +// { +// const TriangleListConstIterator tit = *pit; +// std::size_t index_in_vector = std::distance(tlist.begin(),tit); +// const Triangle3 & t = *tit; +// // dot product +// double s = d * t.supporting_plane().orthogonal_vector(); +// if(s>0) +// { +// count += 1; +// }else +// { +// count += -1; +// } +// } +// w = count; +// +//} + + +void igl::winding_number_ray( + const igl::EmbreeIntersector & ei, + const Eigen::MatrixXd & N, + const Eigen::Vector3d & p, + const Eigen::MatrixXd & D, + double & w, + int & num_rays_shot) +{ + using namespace Eigen; + // initialize count of total number of rays shot + num_rays_shot = 0; + // initialize winding number average + w = 0; + for(int s = 0;s +// Forward declaration +namespace igl +{ + class EmbreeIntersector; +} + +#ifdef WITH_CGAL +#include "CGAL_typedefs.h" +#endif + +namespace igl +{ + // Compute winding number exactly|approximatively for a closed|non-closed input + // mesh using a *single* ray. + // + // Inputs: + // ei Embree Intersector, previously initialized to hold mesh (V,F) + // N #F by 3 per-face normals corresponding to (V,F), may be unnormalized + // p 3d evaluation point (aka ray origin) + // dir 3d ray direction + // Outputs: + // w winding number, 0: outside, 4*pi: once inside + // num_rays_shot total number of rays shot (for marching) + // + // Known Bug: Nearly coplanar facets are sometimes missed. Causing this to be + // off by a factor of ±#misses*1*4*pi. Also if hits occur near edges/vertices + // then this may cause false positives or misses. + // + void winding_number_ray( + const igl::EmbreeIntersector & ei, + const Eigen::MatrixXd & N, + const Eigen::Vector3d & p, + const Eigen::Vector3d & dir, + double & w, + int & num_rays_shot); + // Similar but instead of counting the total number of signed hits, count the + // number of unsigned hits mod 2 + void winding_number_ray_parity( + const igl::EmbreeIntersector & ei, + const Eigen::MatrixXd & N, + const Eigen::Vector3d & p, + const Eigen::Vector3d & dir, + double & w, + int & num_rays_shot); + + #ifdef WITH_CGAL + // Same as above but using CGAL + // Inputs: + // tree AABB Tree containing list of triangles tlist + // tlist list of triangles of (V,F) + // p 3d evaluation point (aka ray origin) + // dir 3d ray direction + void winding_number_ray( + const TriTree & tree, + const TriangleList & tlist, + const Eigen::Vector3d & p, + const Eigen::Vector3d & dir, + double & w, + int & num_rays_shot); + #endif + + + // Compute the winding number approximatively at a given point using *many* + // rays. + // + // Inputs: + // ei Embree Intersector, previously initialized to hold mesh (V,F) + // N #F by 3 per-face normals corresponding to (V,F), may be unnormalized + // p 3d evaluation point (aka ray origin) + // dir #rays by 3 list of ray directions + // Outputs: + // w winding number, 0: outside, 4*pi: once inside + // num_rays_shot total number of rays shot (for marching), should be ≥#rays + // + void winding_number_ray( + const igl::EmbreeIntersector & ei, + const Eigen::MatrixXd & N, + const Eigen::Vector3d & p, + const Eigen::MatrixXd & D, + double & w, + int & num_rays_shot); + #ifdef WITH_CGAL + void winding_number_ray( + const TriTree & tree, + const TriangleList & tlist, + const Eigen::Vector3d & p, + const Eigen::MatrixXd & D, + double & w, + int & num_rays_shot); + #endif +} + +#endif diff --git a/matlab/external/gptoolbox/organization.txt b/matlab/external/gptoolbox/organization.txt new file mode 100644 index 0000000..3b5b637 --- /dev/null +++ b/matlab/external/gptoolbox/organization.txt @@ -0,0 +1,28 @@ +The following is a possible reorganization of gptoolbox: + +- gptoolbox/ + - README.md + - mesh/ # functions which take (V,F) as input + - modeling/ # modeling specific shapes/primitives + - deformation/ #functions related to deformation/skinning + - geometry/ #functions related to simple geometry operations (not on a mesh) + - imageprocessing/ + - matrix/ #functions for manipulating general matrices, solvers + - utility/ #functions for making matlab/gptoolbox easier to use + - data/ #image and mesh files + - woody.obj + - hans-hass.jpg + - external/ #functions not written by us (licenses) + - matlabPyrTools/ + - mex/ #functions that require a mex compilation + - README.md + - selfintersect/ + - winding_number/ + - boneheat/ + - ambient-occlusion/ + - wrappers/ #functions that just wrap command line applications, eventually + should be mex files... + - README.md explain `path_to_*` convention + - qslim + - triangle + - tetgen diff --git a/matlab/external/gptoolbox/style.md b/matlab/external/gptoolbox/style.md new file mode 100644 index 0000000..c77efa0 --- /dev/null +++ b/matlab/external/gptoolbox/style.md @@ -0,0 +1,34 @@ +# File naming convention # +The filename should be the same as the function name followed by `.m`. Use +lowercase with words separated by underscores: e.g. `adjacency_matrix.m` + +## Exceptions ## +File I/O functions should be `readEXT` and `writeEXT` where `EXT is replaced +with the file extension. If the extension is ambiguous then it should be +`readEXT_program` and `writeEXT_program`, where `program` is replaced by the +short name of the program that generated that file. + +# Function headers # +Each file contains a single exposed function and should contain a standard +header containing description of the function, the function prototype and +description of inputs/outputs. For example in `centroid.m`: + + function [C,vol] = centroid(V,F,varargin) + % CENTROID Compute the centroid of a closed polyhedron bounded by (V,F) + % + % C = centroid(V,F) + % [C,vol] = centroid(V,F,'ParameterName',ParameterValue, ...) + % + % Inputs: + % V #V by 3 list of mesh vertex positions + % F #F by 3 list of triangle mesh indices + % Optional: + % 'Robust' followed by whether to use more robust but costlier method + % for nearly closed input. {false} + % Outputs: + % C 3-vector of centroid location + % vol total volume of polyhedron + % + ... % contents of function + end + diff --git a/matlab/external/gptoolbox/utility/README.md b/matlab/external/gptoolbox/utility/README.md new file mode 100644 index 0000000..a6dd7d9 --- /dev/null +++ b/matlab/external/gptoolbox/utility/README.md @@ -0,0 +1,19 @@ +These files patch MATLAB to automatically remember ALL commands in your history +(rather than just the last 20KB's worth) + +On Unix, issue: +(You may have to change R2014a to whatever matlab version you have) + + cp ~/.matlab/R2014a/history.m ~/.matlab/R2014a/history_saved.m + mv preserve_history.m ~/.matlab/R2014a/preserve_history.m + +If you don't already have a `finish.m` or `startup.m` you can issue: + + mv finish.m ~/.matlab/R2014a/finish.m + mv startup.m ~/.matlab/R2014a/startup.m + +Otherwise you'll have to append these files to your existing `finish.m` and +`startup.m` files. + + + diff --git a/matlab/external/gptoolbox/utility/add_gptoolbox_tab_completion.m b/matlab/external/gptoolbox/utility/add_gptoolbox_tab_completion.m new file mode 100644 index 0000000..c5c609c --- /dev/null +++ b/matlab/external/gptoolbox/utility/add_gptoolbox_tab_completion.m @@ -0,0 +1,72 @@ +function [d,L] = add_gptoolbox_tab_completion() + % d = add_gptoolbox_tab_completion() + % + % Outputs: + % d return value of tabcomplete after all have been added + % L list of files and arguements added to tabcompletion + % + + L = { ... + {'imdir','dir'}, ... + {'unique_images','dir'}, ... + {'msm_to_hb','dir file'}, ... + {'readDMAT','dir file'}, ... + {'writeDMAT','dir file'}, ... + {'cage2tet','dir file'}, ... + {'catOBJs','dir file'}, ... + {'clean_tetgen_mesh','dir file'}, ... + {'create_irregular_grid_with_min_angle','dir file'}, ... + {'eat_comments','dir file'}, ... + {'execute_triangle','dir file'}, ... + {'load_mesh','dir file'}, ... + {'loadBundle','dir file'}, ... + {'png2mesh','dir file'}, ... + {'png2objandtga','dir file'}, ... + {'png2poly','dir file'}, ... + {'poly2mesh','dir file'}, ... + {'readBF','dir file'}, ... + {'readBDLMeshChunk','dir file'}, ... + {'readEDGE','dir file'}, ... + {'readELE','dir file'}, ... + {'readFACE','dir file'}, ... + {'readMESH','dir file'}, ... + {'readNODE','dir file'}, ... + {'readOBJ','dir file'}, ... + {'readOBJfast','dir file'}, ... + {'readOFF','dir file'}, ... + {'readPLY','dir file'}, ... + {'readSTL','dir file'}, ... + {'readTGF','dir file'}, ... + {'readWRL','dir file'}, ... + {'readNEIGH','dir file'}, ... + {'readPOLY_triangle','dir file'}, ... + {'readPOLY_pyramid','dir file'}, ... + {'rescaleOFF','dir file'}, ... + {'tetgen','dir file'}, ... + {'tri2tet','dir file'}, ... + {'tri2tgf','dir file'}, ... + {'triangle','dir file'}, ... + {'union2tet','dir file'}, ... + {'writeBDL','dir file'}, ... + {'writeELE','dir file'}, ... + {'writeMESH','dir file'}, ... + {'writeNODE','dir file'}, ... + {'writeOBJ','dir file'}, ... + {'writeSTL','dir file'}, ... + {'writeOFF','dir file'}, ... + {'writePLY','dir file'}, ... + {'writePOLY_triangle','dir file'}, ... + {'writePOLY_tetgen','dir file'}, ... + {'writePOLY_pyramid','dir file'}, ... + {'writeTGF','dir file'}, ... + {'depends','dir file'}, ... + {'interactive_fit','dir file'}, ... + {'myaa','dir file'}, ... + {'cache_test','dir file'}, ... + {'tempprefix','dir file'}, ... + ... % Add new files above this comment + }; + cellfun(@(x) tabcomplete(x{1},x{2}),L,'UniformOutput',false); + d = tabcomplete; + warning('You must restart MATLAB for new tab-completions to take effect'); +end diff --git a/matlab/external/gptoolbox/utility/autohelp.m b/matlab/external/gptoolbox/utility/autohelp.m new file mode 100644 index 0000000..fa6e68d --- /dev/null +++ b/matlab/external/gptoolbox/utility/autohelp.m @@ -0,0 +1,29 @@ +% this script concatenates the help documentation for all the .m files in this +% directory and its subdirectory + +% get paths to all .m files in this directory or subdirectories (1-level deep) +[s,r] = system('find . -name "*.m" -depth 2'); +% split on newline +files = regexp(r,'\n','split'); +% get rid of empty paths (usually just a few at the end) +files = files(~cellfun(@isempty,files)); +% get help documentation for each file +helps = cellfun(@help,files,'UniformOutput',false); +% concatenate files and helps +filesandhelps = cat(1,files,helps); +% write output to the screen +% output_handle = 1; +% write output to a file +output_handle = fopen('Documentation.txt','w'); +% print list of files +fprintf(output_handle,'LIST OF FILES\n'); +fprintf(output_handle,' %s\n',files{:}); +% print file paths and helps +fprintf(output_handle,'\n\nHELP DOCUMENTATION FOR EACH FILE\n'); +fprintf(output_handle,'%s\n%s\n\n',fh{:}); +fprintf(output_handle,'\n\n(This document autogenerated on %s)\n',date); + +% if not writing to the screen then close file +if( output_handle ~= 1) + fclose(output_handle); +end diff --git a/matlab/external/gptoolbox/utility/cache_test.m b/matlab/external/gptoolbox/utility/cache_test.m new file mode 100644 index 0000000..df0979f --- /dev/null +++ b/matlab/external/gptoolbox/utility/cache_test.m @@ -0,0 +1,47 @@ +function C = cache_test(A,B) + % CACHE_TEST Dummy program that computes C = A+B, but demonstrates how to use + % md5 caching of function results on input parameters + % + % C = cache_test(A,B) + % + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Check for cached result, do NOT edit variables until cache is checked, + % your function code comes later. See below + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % get a list of current variables in this scope, this is the input "state" + variables = who; + % get a temporary file's name + tmpf = [tempname('.') '.mat']; + % save the "state" to file, so we can get a md5 checksum + save(tmpf,'-regexp',sprintf('^%s$|',variables{:}),'-ascii'); + % get md5 checksum on input "state", we append .cache.mat to the check sum + % because we'll use the checksum as the cache file name + [s,cache_name] = system(['md5sum ' tmpf ' | awk ''{printf "."$1".cache.mat"}''']); + % clean up + delete(tmpf); + clear s tmpf variables; + + % If the checksum cache file exists then we've seen this input "state" + % before, load in cached output "state" + if(exist(cache_name,'file')) + fprintf('Cache exists. Using cache...\n'); + % use cache + load(cache_name); + % Otherwise this is the first time we've seen this input "state", so we + % execute the function as usual and save the output "state" to the cache + else + fprintf('First time. Creating cache...\n'); + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % Your function code goes here + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + C = A+B; + + % get list of variables present in this scope at finish of function code, + % this is the output "state" + variables = who; + % save output "state" to file, using md5 checksum cache file name + save(cache_name,'-regexp',sprintf('^%s$|',variables{:})); + end +end diff --git a/matlab/external/gptoolbox/utility/clear_class.m b/matlab/external/gptoolbox/utility/clear_class.m new file mode 100644 index 0000000..9326382 --- /dev/null +++ b/matlab/external/gptoolbox/utility/clear_class.m @@ -0,0 +1,28 @@ +function clear_class(class_name) + % CLEAR_CLASS clears all variables of a specific class + % + % clear_class(class_name) + % + % Inputs: + % class_name name of class to clear as string + % + % See also: clear + % + + % Get a cell list of all variable names as strings + s_v = who; + s_v + % loop over variabls + for ii = 1:numel(s_v) + % Get this variable as string + s_s = s_v{ii}; + s_s + s_d = eval(s_s); + class(s_d) + if strcmp(class(s_d),class_name) + fprintf('clearing: %s...',s_s); + clear(s_s); + end + end + +end diff --git a/matlab/external/gptoolbox/utility/create_cache.m b/matlab/external/gptoolbox/utility/create_cache.m new file mode 100644 index 0000000..aba3fbd --- /dev/null +++ b/matlab/external/gptoolbox/utility/create_cache.m @@ -0,0 +1,19 @@ +function create_cache(cache_name) + % CREATE_CACHE Save the workspace of the caller function using the provided + % cache_name, possibly overwriting it. + % + % create_cache(cache_name) + % + % Inputs: + % cache_name path to .mat cache file + % + % See also: find_cache + + if isunix + % get a list of current variables in this scope, this is the input "state" + variables = evalin('caller','who'); + variable_names = sprintf('^%s$|',variables{:}); + save_cmd = sprintf('save(''%s'',''-regexp'',''%s'');',cache_name,variable_names); + evalin('caller',save_cmd); + end +end diff --git a/matlab/external/gptoolbox/utility/depends.m b/matlab/external/gptoolbox/utility/depends.m new file mode 100644 index 0000000..61dc102 --- /dev/null +++ b/matlab/external/gptoolbox/utility/depends.m @@ -0,0 +1,63 @@ +function C = depends(f,depth) + % DEPENDS Computes dependencies for a given function, f. + % + % C = depends(f) + % C = depends(f,depth) + % + % Inputs: + % f string, name of function or path to function + % depth number of levels to explore {Inf} + % Outputs: + % C cell array of paths to dependencies + % + % Example: + % % Get dependencies and zip into a file + % C = depends('myfun'); + % zip('myfun.zip',C); + % + % % Get dependencies and extract just file base names and print + % C = depends('myfun'); + % N = regexprep(C,'^.*\/','') + % fprintf('myfun depends on:\n'); + % fprintf(' %s\n',N{:}) + % + % % Get dependencies and remove mosek paths + % C = depends('myfun'); + % C = C(cellfun(@isempty,strfind(C,'opt/local/mosek'))); + % + + w = warning('off','MATLAB:DEPFUN:DeprecatedAPI'); + + + if(~exist('depth','var')) + depth = Inf; + end + + level = 0; + C = {}; + C{end+1} = which(f); + + Q = {}; + Q = C; + while( level < depth && ~isempty(Q)) + new_deps = {}; + while(~isempty(Q)) + p = Q{1}; + Q = Q(2:end); + new_deps = cat(1,new_deps,depfun(p,'-toponly','-quiet')); + % This is the non-obsolete version but it's 100x slower : - ( + %new_deps = cat(1,new_deps, ... + %matlab.codetools.requiredFilesAndProducts(p,'toponly')');C + end + % ignore anything in matlab folder + new_deps = new_deps(cellfun(@isempty,strfind(new_deps,matlabroot))); + Q = setdiff(new_deps,C); + if ~isempty(Q) + C = cat(1,C,Q); + end + level= level + 1; + end + + warning(w); + +end diff --git a/matlab/external/gptoolbox/utility/figgif.m b/matlab/external/gptoolbox/utility/figgif.m new file mode 100644 index 0000000..9baf42c --- /dev/null +++ b/matlab/external/gptoolbox/utility/figgif.m @@ -0,0 +1,18 @@ +function f = figgif(filename) + % FIGGIF Write the current figure to filename. If filename exists, append it + % as an animation frame with zero delay + % + % Inputs: + % filename path to gif file + % Outputs: + % f flag whether file already existed + % + frame = getframe(gcf); + [SIf,cm] = rgb2ind(frame.cdata,256); + f = exist(filename,'file'); + if ~f + imwrite(SIf,cm,filename,'Loop',Inf,'Delay',0); + else + imwrite(SIf,cm, filename,'WriteMode','append','Delay',0); + end +end diff --git a/matlab/external/gptoolbox/utility/find_cache.m b/matlab/external/gptoolbox/utility/find_cache.m new file mode 100644 index 0000000..250d440 --- /dev/null +++ b/matlab/external/gptoolbox/utility/find_cache.m @@ -0,0 +1,72 @@ +function [cache_exists,cache_name] = find_cache() + % FIND_CACHE Called at the beginning of a very expensive caller function, + % this function writes the input parameters (whatever's currently in scope) + % to a temporary file and gets that files md5 checksum as a "cachename". If a + % file with path built from that cache name and caller name exists and is + % younger than the caller file name or any of its dependencies, then this + % returns true and the cache name. + % + % [cache_exists,cache_name] = find_cache() + % + % Outputs: + % cache_exists true if the cache_name file exists + % cache_name path to cache file for this caller function on these inputs. + % + % See also: create_cache + + + %if ~ismac + if ~isunix + cache_exists = false; + cache_name = ''; + end + + S = dbstack(1); + caller_name = S.name; + % get a list of current variables in this scope, this is the input "state" + variables = evalin('caller','who'); + % get a temporary file's name + tmpf = [tempname('.') '.mat']; + + variable_names = sprintf('^%s$|',variables{:}); + save_cmd = sprintf('save(''%s'',''-regexp'',''%s'');',tmpf,variable_names); + % save the "state" of the caller to file, so we can get a md5 checksum + evalin('caller',save_cmd); + + % get md5 checksum on input "state", we append .cache.mat to the check sum + % because we'll use the checksum as the cache file name + if ismac + md5_cmd = 'md5 -r'; + elseif isunix + md5_cmd = 'md5sum'; + else + assert(false,'What OS is this?') + end + [s,md5_res] = system(sprintf('tail -c +117 %s | %s',tmpf,md5_cmd)); + if s~=0 + cache_exists = false; + cache_name = ''; + return; + end + md5_res = sscanf(md5_res,'%s',1); + cache_name = sprintf('.%s.cache.%s.mat',caller_name,md5_res); + + % clean up + delete(tmpf); + clear s tmpf variables; + cache_exists = exist(cache_name,'file')~=0; + % If cache exists, check that it's older than the caller file. + if cache_exists + cache_file = dir(cache_name); + cache_date = datenum(cache_file.date); + caller_dependencies = depends(caller_name); + for si = 1:numel(caller_dependencies) + caller_dep_name = caller_dependencies{si}; + caller_dep_file = dir(which(caller_dep_name)); + caller_dep_date = datenum(caller_dep_file.date); + if cache_date < caller_dep_date + cache_exists = false; + end + end + end +end diff --git a/matlab/external/gptoolbox/utility/finish.m b/matlab/external/gptoolbox/utility/finish.m new file mode 100644 index 0000000..39864fc --- /dev/null +++ b/matlab/external/gptoolbox/utility/finish.m @@ -0,0 +1,37 @@ +% Custom finish.m which is called on `quit`, saves history and current +% workspace. +% +% See also: startup.m + +% Use preferences +% [instead](http://www.mathworks.ch/ch/help/matlab/matlab_env/exit-matlab-.html#bs6j5on-4) +% Preferences > MATLAB > General > Confirmation Dialogs > Confirm before +% exiting MATLAB +% +% if usejava('desktop') +% button = questdlg('Are you sure you want to quit?', 'Exit Dialog','Cancel','Quit','Cancel'); +% +% if strcmp(button,'Cancel') || strcmp(button,'') +% quit cancel; +% return +% end +% end + +lastworkspace = '/var/tmp/lastworkspace.mat'; +if is_writable(lastworkspace) + disp(['Saving workspace data to ' lastworkspace]); + save(lastworkspace); +else + warning('Workspace recovery location not writable'); +end + +if usejava('desktop') + setpref('StartupDirectory','LastWorkingDirectory',pwd) + try + preserve_history; + catch EM + h=msgbox(EM.message,sprintf('Error: %s',EM.identifier),'error'); + uiwait(h); + return + end +end diff --git a/matlab/external/gptoolbox/utility/gptoolbox_version.m b/matlab/external/gptoolbox/utility/gptoolbox_version.m new file mode 100644 index 0000000..66e2171 --- /dev/null +++ b/matlab/external/gptoolbox/utility/gptoolbox_version.m @@ -0,0 +1,13 @@ +function v = gptoolbox_version() + % GPTOOLBOX_VERSION Returns version of GPTOOLBOX as a string + % + % v = gptoolbox_version() + % + + % This file should contain the current version number of gptoolbox + % World.Major.Minor + % Anyone may increment Minor to indicate a small change. + % Major indicates a large change or large number of changes. + % World indicates a substantial change or release. + v = '0.1.2'; +end diff --git a/matlab/external/gptoolbox/utility/is_writable.m b/matlab/external/gptoolbox/utility/is_writable.m new file mode 100644 index 0000000..97df7e6 --- /dev/null +++ b/matlab/external/gptoolbox/utility/is_writable.m @@ -0,0 +1,22 @@ +function flag = is_writable(name) + % IS_WRITABLE Determine if a path is writable + % + % flag = is_writable(name) + % + % Inputs: + % name path to check + % Outputs: + % flag whether writable + if exist(name,'file') + [~,attribs] = fileattrib(name); + flag = attribs.UserWrite; + return; + end + dirname = fileparts(name); + if exist(dirname,'file') + [~,attribs] = fileattrib(dirname); + flag = attribs.UserWrite; + return; + end + flag = false; +end diff --git a/matlab/external/gptoolbox/utility/last_command.m b/matlab/external/gptoolbox/utility/last_command.m new file mode 100644 index 0000000..c7ba3a5 --- /dev/null +++ b/matlab/external/gptoolbox/utility/last_command.m @@ -0,0 +1,45 @@ +function S = last_command(varargin) + % LAST_COMMAND returns the last issued command as a string. + % + % S = last_command(); + % S = last_command('ParamName',ParamValue,...); + % + % Input (optional): + % 'Offset' Followed by a number, rather than finding last command, finds + % last-offset command,{0} + % 'LimitToSession' optionally followed by true or false, searches through + % all history {default} or just session history + % Outputs: + % S string of last command issued + + offset = 0; + % look in all history (or just session) + all_history = true; + + ii = 1; + while(ii <= nargin) + switch varargin{ii} + case 'Offset' + ii = ii + 1; + assert(ii<=nargin); + offset = varargin{ii}; + case 'LimitToSession' + if( (ii+1)<=nargin && ~ischar(varargin{ii+1})) + ii = ii + 1; + all_history = varargin{ii}; + else + all_history = false; + end + otherwise + error('Invalid parameter name'); + end + ii = ii+1; + end + + if all_history + history = com.mathworks.mlservices.MLCommandHistoryServices.getAllHistory; + else + history = com.mathworks.mlservices.MLCommandHistoryServices.getSessionHistory; + end + S = history(end-offset); +end diff --git a/matlab/external/gptoolbox/utility/report_mosek_error.m b/matlab/external/gptoolbox/utility/report_mosek_error.m new file mode 100644 index 0000000..6a6a836 --- /dev/null +++ b/matlab/external/gptoolbox/utility/report_mosek_error.m @@ -0,0 +1,28 @@ +function report_mosek_error(r,res) + % REPORT_MOSEK_ERROR issue warning or error on return values from running + % mosekopt + % + % [r,res] = report_mosek_error(r,res) + % + % Example: + % [r,res]=mosekopt('minimize echo(0)',prob,param); + % [r,res] = report_mosek_error(r,res) + % + + % check for mosek error + if(r == 4006) + warning(['MOSEK ERROR. rcode: ' ... + num2str(res.rcode) ' ' ... + res.rcodestr ' ' ... + res.rmsg ... + 'The solution is probably OK, but ' ... + 'to make this error go away, increase: ' ... + 'MSK_DPAR_INTPNT_CO_TOL_REL_GAP' ... + ]); + elseif(r ~= 0) + error(['FATAL MOSEK ERROR. rcode: ' ... + num2str(res.rcode) ' ' ... + res.rcodestr ' ' ... + res.rmsg]); + end +end diff --git a/matlab/external/gptoolbox/utility/startup.m b/matlab/external/gptoolbox/utility/startup.m new file mode 100644 index 0000000..5479b62 --- /dev/null +++ b/matlab/external/gptoolbox/utility/startup.m @@ -0,0 +1,24 @@ +% Custom startup which loads last working directory and workspace +% +% See also: finish + +lastworkspace = '/var/tmp/lastworkspace.mat'; +try + load(lastworkspace); +catch + disp('Sorry, but I could not load last workspace from:') + disp(lastworkspace) +end; + +if ispref('StartupDirectory','LastWorkingDirectory') + lwd = getpref('StartupDirectory','LastWorkingDirectory'); + try + cd(lwd) + catch + disp('Sorry, but I could not go to your last working directory:') + disp(lwd) + end; +end; +com.mathworks.mde.desk.MLDesktop.getInstance.restoreLayout('figure-command-history'); +clear lwd; +format short g; diff --git a/matlab/external/gptoolbox/utility/tempprefix.m b/matlab/external/gptoolbox/utility/tempprefix.m new file mode 100644 index 0000000..4113e32 --- /dev/null +++ b/matlab/external/gptoolbox/utility/tempprefix.m @@ -0,0 +1,28 @@ +function T = tempprefix(D); + % TEMPPREFIX returns a unique name prefix, starting with the given directory + % suitable for use as a prefix for temporary files. + % + % T = tempprefix(D) + % T = tempprefix() same as above but uses builtin tempdir as D + % + % Inputs: + % D name of directory to find prefix + % Outputs: + % T unique temp prefix + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also: tempname + % + + while(true) + if(exist('D','var')) + T = tempname(D); + else + T = tempname(); + end + if(isempty(dir([T '*']))) + break; + end + end +end diff --git a/matlab/external/gptoolbox/utility/uiopen.m b/matlab/external/gptoolbox/utility/uiopen.m new file mode 100644 index 0000000..c5358c8 --- /dev/null +++ b/matlab/external/gptoolbox/utility/uiopen.m @@ -0,0 +1,28 @@ +function uiopen(type,direct) +% UIOPEN overloaded for custom Files. Do not change the file name of this +% file. Remember you are overloading uiopen inside toolbox/matlab/uitools +% + +%----Your file extension -----v +if ((~isempty(findstr(type,'.off'))) && (direct)) +elseif ((~isempty(findstr(type,'.obj'))) && (direct)) +elseif ((~isempty(findstr(type,'.mesh'))) && (direct)) +elseif ((~isempty(findstr(type,'.dmat'))) && (direct)) +elseif ((~isempty(findstr(type,'.ply'))) && (direct)) +elseif ((~isempty(findstr(type,'.stl'))) && (direct)) +elseif ((~isempty(findstr(type,'.wrl'))) && (direct)) + %------------------------------------------------- + % Your function that will open/run this file type + %------------------------------------------------- + + %------------------------------------------------- +else + %----------DO NOT CHANGE--------------------------- + presentPWD = pwd; + cd([matlabroot '/toolbox/matlab/uitools']); + strn = ['uiopen(''' type ''',' num2str(direct) ')']; + eval(strn); + cd(presentPWD); + %----------DO NOT CHANGE--------------------------- +end +%------------------------------------------------------------------------- diff --git a/matlab/external/gptoolbox/wrappers/medit.m b/matlab/external/gptoolbox/wrappers/medit.m new file mode 100644 index 0000000..ed10f4e --- /dev/null +++ b/matlab/external/gptoolbox/wrappers/medit.m @@ -0,0 +1,174 @@ +function [s,r] = medit(varargin) + % MEDIT wrapper to launch medit to visualize a given tetmesh + % + % [s,r] = medit(V,T,F) + % [s,r] = medit(V,T,F,'ParameterName',ParameterValue) + % + % Inputs: + % V #V by 3 list of vertex positions + % T #T by 4|5 list of tetrahedron findices (additional column is color + % index) + % F #F by 3|4 list of face indices (additional column is color index) + % Optional: + % 'Wait' followed by boolean whether to wait for completion {true} + % 'Data' followed by #V|#F+#T data values {[]} + % 'Subplot' follwed by [x y i] defining subplot window (see subplot) + % 'Edges' follwed by E list of edges to write along with mesh (see + % writeMESH) + % 'Palette' followed by list (up to 5) iso values + % Outputs: + % s,r result of system call + % + % Example: + % % tet mesh in (V,T), per-tet data in D + % [F,J] = boundary_faces(T); + % % Display data at tets and also on boundary facets + % medit(V,T,F,'Data',[D(J);D]) + % + % See also: tetramesh + % + + V = varargin{1}; + T = varargin{2}; + if nargin<3 + F = []; + else + F = varargin{3}; + end + wait = true; + D = []; + E = []; + subp = []; + palette = []; + + ii = 4; + while(ii<=nargin) + switch varargin{ii} + case 'Wait' + ii = ii + 1; + assert(ii<=nargin); + wait = varargin{ii}; + case 'Data' + ii = ii + 1; + assert(ii<=nargin); + D = varargin{ii}; + case 'Edges' + ii = ii + 1; + assert(ii<=nargin); + E = varargin{ii}; + case 'Subplot' + ii = ii + 1; + assert(ii<=nargin); + subp = varargin{ii}; + case 'Palette' + ii = ii + 1; + assert(ii<=nargin); + palette = varargin{ii}; + otherwise + error(['Unsupported parameter: ' varargin{ii}]); + end + ii = ii+1; + end + + assert(numel(palette)<=5); + + if ~exist('wait','var') + wait = true; + end + + % Change these paths accordingly + MEDIT_PATH = path_to_medit; + TEMP_MESH_FILE = '/var/tmp/temp.mesh'; + TEMP_MEDIT_FILE = '/var/tmp/temp.medit'; + TEMP_BB_FILE = '/var/tmp/temp.bb'; + + % write default medit options + f = fopen(TEMP_MEDIT_FILE,'w'); + fprintf(f, [... + 'BackgroundColor 1 1 1\n' ... + 'LineColor 0 0 0\n']); + if size(F,2) > 3 || size(T,2) > 4 + fprintf(f,['NbMaterials\n']); + %% collect indices + %I = [F(:,3:end);T(:,4:end)]; + %count = max(I) - min(I); + %fprintf(f,'%d\n',count); + fprintf(f,'RenderMode colorshadinglines\n'); + else + fprintf(f,'RenderMode shading + lines\n'); + end + + if isempty(subp) + fprintf(f,'WindowSize 1024 800\n'); + else + ss = get(0,'ScreenSize'); + w = ss(3)/subp(2); + h = ss(4)/subp(1); + [i j] = ind2sub(subp(1:2),subp(3)); + j = (j-1)*w; + i = (i-1)*h; + fprintf(f,'WindowSize %d %d\n',round(w),round(h)); + fprintf(f,'WindowPosition %d %d\n',round(j),round(i)); + end + + if ~isempty(palette) + fprintf(f,'Palette'); + fprintf(f,' %g',palette(:)); + fprintf(f,'\n'); + end + + + fclose(f); + + % write bb file + if isempty(D) + if exist(TEMP_BB_FILE,'file') + delete(TEMP_BB_FILE); + end + else + switch size(D,1) + case size(F,1) + warning('Appending junk for tet data since medit needs it.'); + D = [D;mean(D)*ones(size(T,1),1)]; + type = 1; + case size(T,1) + if size(F,1) == 0 + allF = [ ... + T(:,2) T(:,4) T(:,3); ... + T(:,1) T(:,3) T(:,4); ... + T(:,1) T(:,4) T(:,2); ... + T(:,1) T(:,2) T(:,3); ... + ]; + [I,C] = on_boundary(T); + DF = repmat(D,4,1); + F = allF(C(:),:); + DF = DF(C(:),:); + D = [DF;D]; + else + warning('Appending junk for face data since medit needs it.'); + D = [mean(D)*ones(size(F,1),1);D]; + end + type = 1; + case size(V,1) + type = 2; + case size(F,1)+size(T,1) + type = 1; + otherwise + error('size(Data,1) %d should be == size(V,1) (%d) or size(T,1) + size(F,1) (%d + %d = %d)',size(D,1),size(V,1),size(T,1),size(F,1),size(T,1)+size(F,1)); + end + writeBB(TEMP_BB_FILE,D,type); + end + + % write temporary mesh + writeMESH(TEMP_MESH_FILE,V,T,F,E); + + command = [MEDIT_PATH ' ' TEMP_MESH_FILE ' ' TEMP_MEDIT_FILE]; + command + if ~wait + command = [command ' &']; + end + [s,r] = system(command); + if(s ~= 0) + error(r); + end +end diff --git a/matlab/external/gptoolbox/wrappers/meshfix.m b/matlab/external/gptoolbox/wrappers/meshfix.m new file mode 100644 index 0000000..cbb55f1 --- /dev/null +++ b/matlab/external/gptoolbox/wrappers/meshfix.m @@ -0,0 +1,28 @@ +function [W,G] = meshfix(V,F) + % Call Marco Atene's MESHFIX on a mesh + % + % [W,G] = meshfix(V,F) + % + % Inputs: + % V #V by 3 list of mesh vertex positions + % F #F by 3 list of triangle indices + % Outputs: + % W #W by 3 list of output mesh vertex positions + % G #G by 3 list of output triangle indices + % + prefix = tempname; + off_filename = [prefix '.off']; + off_filename_fixed = [prefix '_fixed.off']; + writeOFF(off_filename,V,F); + flags = ''; + command = [path_to_meshfix ' ' flags ' ' off_filename]; + [status, result] = system(command); + if status ~= 0 + fprintf(command); + error(result); + end + [W,G] = readOFF(off_filename_fixed); + + delete(off_filename); + delete(off_filename_fixed); +end diff --git a/matlab/external/gptoolbox/wrappers/path_to_eltopo.m b/matlab/external/gptoolbox/wrappers/path_to_eltopo.m new file mode 100644 index 0000000..09db8de --- /dev/null +++ b/matlab/external/gptoolbox/wrappers/path_to_eltopo.m @@ -0,0 +1,20 @@ +function s = path_to_eltopo() + % PATH_TO_eltopo Returns absolute, system-dependent path to eltopo header and + % includes + % + % Outputs: + % s path to eltopo base directory as string + % + % See also: eltopo + + if ispc + warning([ ... + 'Dear Ladislav, is there a standard place to put executables on a pc?' ... + 'Could you put eltopo there and change this accordingly?' ... + 'Thanks, Alec']); + s = 'c:/prg/lib/eltopo/' + elseif ismac + s = '/usr/local/eltopo'; + end +end + diff --git a/matlab/external/gptoolbox/wrappers/path_to_libigl.m b/matlab/external/gptoolbox/wrappers/path_to_libigl.m new file mode 100644 index 0000000..eb710db --- /dev/null +++ b/matlab/external/gptoolbox/wrappers/path_to_libigl.m @@ -0,0 +1,8 @@ +function s = path_to_libigl() + % PATH_TO_LIBIGL + % + % s = path_to_libigl() + % + % Returns path to libigl as string + s = '/usr/local/igl/libigl/'; +end diff --git a/matlab/external/gptoolbox/wrappers/path_to_medit.m b/matlab/external/gptoolbox/wrappers/path_to_medit.m new file mode 100644 index 0000000..81bc1e7 --- /dev/null +++ b/matlab/external/gptoolbox/wrappers/path_to_medit.m @@ -0,0 +1,32 @@ +function s = path_to_medit() + % PATH_TO_MEDIT Return path to medit executable + % + % s = path_to_medit() + % + % Outputs: + % s path to medit executable + % + % See also: medit + % + + + if ispc + warning([ ... + 'Dear Ladislav, is there a standard place to put executables on a pc?' ... + 'Could you put medit there and change this accordingly?' ... + 'Thanks, Alec']); + s = 'c:/prg/lib/medit/Release/medit.exe'; + elseif isunix || ismac + % I guess this means linux + [status, s] = system('which medit'); + s = strtrim(s); + if isempty(s) + guesses = { ... + '/usr/local/bin/medit', ... + '/opt/local/bin/medit'}; + s = ... + guesses{find(cellfun(@(guess) exist(guess,'file'),guesses),1,'first')}; + assert(~isempty(s),'Could not find medit'); + end + end +end diff --git a/matlab/external/gptoolbox/wrappers/path_to_meshfix.m b/matlab/external/gptoolbox/wrappers/path_to_meshfix.m new file mode 100644 index 0000000..183e42a --- /dev/null +++ b/matlab/external/gptoolbox/wrappers/path_to_meshfix.m @@ -0,0 +1,33 @@ +function s = path_to_meshfix() + % PATH_TO_MESHFIX Returns absolute, system-dependent path to meshfix executable + % + % Outputs: + % s path to meshfix as string + % + % See also: meshfix + + if ispc + warning([ ... + 'Dear Ladislav, is there a standard place to put executables on a pc?' ... + 'Could you put meshfix there and change this accordingly?' ... + 'Thanks, Alec']); + s = 'c:/prg/lib/meshfix/Release/meshfix.exe'; + elseif isunix || ismac + % I guess this means linux + [status, s] = system('which meshfix'); + s = strtrim(s); + if isempty(s) + guesses = { ... + '/usr/local/bin/meshfix', ... + '/opt/local/bin/meshfix', ... + '/usr/local/igl/libigl/external/MeshFix/meshfix', ... + '/usr/local/libigl/external/MeshFix/meshfix'}; + found = find(cellfun(@(guess) exist(guess,'file'),guesses),1,'first'); + if found + s = ... + guesses{find(cellfun(@(guess) exist(guess,'file'),guesses),1,'first')}; + end + assert(~isempty(s),'Could not find meshfix'); + end + end +end diff --git a/matlab/external/gptoolbox/wrappers/path_to_qslim.m b/matlab/external/gptoolbox/wrappers/path_to_qslim.m new file mode 100644 index 0000000..ae0dc70 --- /dev/null +++ b/matlab/external/gptoolbox/wrappers/path_to_qslim.m @@ -0,0 +1,31 @@ +function s = path_to_qslim() + % PATH_TO_QSLIM + % + % s = path_to_qslim() + % + % Outputs: + % s path to qslim executable + % + % See also: qslim + % + + if ispc + warning([ ... + 'Dear Ladislav, is there a standard place to put executables on a pc?' ... + 'Could you put qslim there and change this accordingly?' ... + 'Thanks, Alec']); + s = 'c:/prg/lib/qslim/Release/qslim.exe'; + elseif isunix || ismac + % I guess this means linux + [status, s] = system('which qslim'); + s = strtrim(s); + if isempty(s) + guesses = { ... + '/usr/local/bin/qslim', ... + '/opt/local/bin/qslim'}; + s = ... + guesses{find(cellfun(@(guess) exist(guess,'file'),guesses),1,'first')}; + assert(~isempty(s),'Could not find qslim'); + end + end +end diff --git a/matlab/external/gptoolbox/wrappers/path_to_tetgen.m b/matlab/external/gptoolbox/wrappers/path_to_tetgen.m new file mode 100644 index 0000000..191ba2c --- /dev/null +++ b/matlab/external/gptoolbox/wrappers/path_to_tetgen.m @@ -0,0 +1,33 @@ +function s = path_to_tetgen() + % PATH_TO_TETGEN Returns absolute, system-dependent path to tetgen executable + % + % Outputs: + % s path to tetgen as string + % + % See also: tetgen + + if ispc + warning([ ... + 'Dear Ladislav, is there a standard place to put executables on a pc?' ... + 'Could you put tetgen there and change this accordingly?' ... + 'Thanks, Alec']); + s = 'c:/prg/lib/tetgen/Release/tetgen.exe'; + elseif ismac + s = '/usr/local/bin/tetgen'; + elseif isunix + % I guess this means linux + [~,s] = system('which tetgen'); + s = strtrim(s); + if isempty(s) + guesses = { ... + '/usr/local/bin/tetgen', ... + '/opt/local/bin/tetgen', ... + '/usr/local/igl/libigl/external/tetgen/tetgen', ... + [path_to_libigl '/external/tetgen/tetgen'], ... + '/usr/local/libigl/external/tetgen/tetgen'}; + s = ... + guesses{find(cellfun(@(guess) exist(guess,'file'),guesses),1,'first')}; + assert(~isempty(s),'Could not find tetgen'); + end + end +end diff --git a/matlab/external/gptoolbox/wrappers/path_to_triangle.m b/matlab/external/gptoolbox/wrappers/path_to_triangle.m new file mode 100644 index 0000000..82969a6 --- /dev/null +++ b/matlab/external/gptoolbox/wrappers/path_to_triangle.m @@ -0,0 +1,33 @@ +function s = path_to_triangle() + % PATH_TO_TRIANGLE Returns absolute, system-dependent path to triangle + % executable + % + % Outputs: + % s path to triangle as string + % + % See also: triangle + + if ispc + warning([ ... + 'Dear Ladislav, is there a standard place to put executables on a pc?' ... + 'Could you put triangle there and change this accordingly?' ... + 'Thanks, Alec']); + s = 'c:/prg/lib/triangle/Release/triangle.exe'; + elseif isunix || ismac + % I guess this means linux + [status, s] = system('which triangle'); + s = strtrim(s); + if isempty(s) + guesses = { ... + '/usr/local/bin/triangle', ... + '/opt/local/bin/triangle'}; + found = find(cellfun(@(guess) exist(guess,'file'),guesses),1,'first'); + if found + s = ... + guesses{find(cellfun(@(guess) exist(guess,'file'),guesses),1,'first')}; + end + assert(~isempty(s),'Could not find triangle'); + end + end +end + diff --git a/matlab/external/gptoolbox/wrappers/qslim.m b/matlab/external/gptoolbox/wrappers/qslim.m new file mode 100644 index 0000000..d1a88fd --- /dev/null +++ b/matlab/external/gptoolbox/wrappers/qslim.m @@ -0,0 +1,78 @@ +function [C,W,G,V2W] = qslim(V,F,t,varargin) + % QSLIM Very simple wrapper for qslim + % + % [C,W,G,V2W] = qslim(V,F,t,'ParameterName',ParameterValue) + % + % Inputs: + % V #V by 3 input mesh vertex positions + % F #F by 3 input mesh triangle indices (1-indexed) + % t target number of faces {0 for all collapse} + % Optional: + % 'QSlimFlags' followed by qslim flags + % Outputs: + % C #collapse list of edge collapse structs with fields + % .a index into V of vertex collapsed to + % .b index into V of vertex collapsed from + % .da 1 by 3 displacement of vertex a + % .rm list of indices in F of faces removed by this collapse + % .mod list of indices in F of faces modified by this collapse + % W #W by 3 collapsed mesh vertex positions + % G #G by 3 collapsed mesh triangle indices (1-indexed) + % V2W #V list of indices into W + % + % See also: readLOG, perform_edge_collapse, path_to_qslim + % + + qslim_flags = ''; + if nargin <3 + t = 0; + end + + v = 1; + while v<=numel(varargin) + switch varargin{v} + case 'QSlimFlags' + assert((v+1)<=numel(varargin)); + v = v+1; + qslim_flags = varargin{v}; + otherwise + error(['Unsupported parametername: ' varargin{v}]); + end + v = v+1; + end + + prefix = tempprefix(); + input = [prefix '.smf']; + output = [prefix '.log']; + + % Write input to file + writeSMF(input,V,F); + + try + % prepare command string + command = sprintf('%s -t %d -M log -q %s %s >%s', ... + path_to_qslim,t,qslim_flags,input,output); + [status,result] = system(command); + if status ~= 0 + error(result); + end + + [VV,FF,C] = readLOG(output); + % should match input + assert(size(VV,1)==size(V,1)); + assert(size(FF,1)==size(F,1)); + assert(isequal(F,FF)); + + delete(input); + delete(output); + catch ME + fprintf('%s\n',command); + rethrow(ME); + end + + % This is expensive so only perform if required by output + if nargout>1 + [W,G,V2W] = perform_edge_collapse(V,F,C,t); + end + +end diff --git a/matlab/external/gptoolbox/wrappers/tetgen.m b/matlab/external/gptoolbox/wrappers/tetgen.m new file mode 100644 index 0000000..605dad8 --- /dev/null +++ b/matlab/external/gptoolbox/wrappers/tetgen.m @@ -0,0 +1,107 @@ +function [V,T,F] = tetgen(SV,SF,varargin) + % TETGEN Call tetgen to construct a tetrahedral volume mesh with in a given + % triangle mesh with optional internal contrained vertices. + % + % [V,T,F] = tetgen(SV,SF); + % [V,T,F] = tetgen(SV,SF,'ParameterName',ParameterValue, ...) + % + % Inputs: + % SV list of surface vertex positions of exterior mesh, # vertices by 3 + % SF list of surface face indices of exterior triangle mesh, # faces by 3 + % Optional: + % 'Flags' followed by tetgen flags {'-q100'} + % Outputs: + % V list of tetrahedra vertices + % T list of tetrahedra indices + % F list of faces of 3D volume mesh + % + + + if ~isempty(varargin) + assert(ischar(varargin{1}), ... + 'First optional arg not char. Using obsolete interface?'); + end + + % default values + flags = '-q100'; + % Map of parameter names to variable names + params_to_variables = containers.Map( ... + {'Flags'}, {'flags'}); + v = 1; + while v <= numel(varargin) + param_name = varargin{v}; + if isKey(params_to_variables,param_name) + assert(v+1<=numel(varargin)); + v = v+1; + % Trick: use feval on anonymous function to use assignin to this workspace + feval(@()assignin('caller',params_to_variables(param_name),varargin{v})); + else + error('Unsupported parameter: %s',varargin{v}); + end + v=v+1; + end + + % get a temporary file name prefix + prefix = tempname; + %off_filename = [prefix '.off']; + %writeOFF(off_filename,SV,SF); + + % Try to mesh with all faces included directly + + prefix = tempname; + poly_filename = [prefix '.poly']; + writePOLY_tetgen(poly_filename,SV,SF,[],'BoundaryMarkers',ones(size(SF,1),1)); + + %% if there are internal constraint vertices then print them to a .node file + %if(internal_constraints) + % inode_filename = [prefix '.a.node']; + % writeNODE(inode_filename,IV); + %end + + % graded: -q100, very-fine:-q1 + mesh_flags = '-Cpg '; + %if(internal_constraints) + % flags = [flags ' -i']; + %end + %if(~exist('allow_resampling','var') || ~allow_resampling) + % flags = [flags ' -Y' '-V']; + %end + % call tetgen + command = [path_to_tetgen ' ' mesh_flags ' ' flags ' ' poly_filename]; + %fprintf(command); + [status, result] = system(command); + if status~=0 + error(result) + end + % tetgen always writes output to file: + % xxxx.1.ele tetrahedra + % xxxx.1.node tetrahedra vertices + % xxxx.1.face surface faces + ele_filename = [prefix '.1.ele']; + face_filename = [prefix '.1.face']; + node_filename = [prefix '.1.node']; + + F = readFACE(face_filename); + % reverse faces because tetgen uses backwards order + F = fliplr(F); + % I guess this is 1-indexed because we're using a .off file rather than a + % .poly file + T = readELE(ele_filename); + V = readNODE(node_filename); + if min(T(:)) == 0 && max(T(:))= 1 + %warning('min(T) >= 1, leaving indices as is'); + end + + delete(poly_filename); + %if(internal_constraints) + % delete(inode_filename); + %end + delete(ele_filename); + delete(face_filename); + delete(node_filename); + +end diff --git a/matlab/external/gptoolbox/wrappers/texture_map.m b/matlab/external/gptoolbox/wrappers/texture_map.m new file mode 100644 index 0000000..646a2f3 --- /dev/null +++ b/matlab/external/gptoolbox/wrappers/texture_map.m @@ -0,0 +1,117 @@ +function [im_out,alpha_out] = texture_map(V,F,TC,im_in,alpha_in) + % TEXTURE_MAP texture map a give mesh (V,F) with a texture (TC,im_in) and save + % it back to an image (im_out) + % + % [im_out,alpha_out] = texture_map(V,F,TC,im_in,alpha_in) + % + % Inputs: + % V #V by 2 list of mesh vertex positions + % F #F by 3 list of face indices + % TC #V by 2 list of mesh texture coordinates, these should be between 0 + % and 1, if they're not they will be normalized + % im_in input texture image + % alpha_in input texture image alpha channel + % Outputs: + % im_out deformed texture image + % + % Example: + % % original mesh (V,F) deformed mesh (NV,F) + % TC = texture_coords(V); + % [oim, oalpha] = texture_map(V,F,TC,im,alpha); + % + + if ~exist('alpha_in') + alpha_in = ones(size(im_in,1),size(im_in,2)); + end + if size(V,2) == 2 + V(:,end+1:3) = 0; + end + + path_to_TexMapPreview = ... + '/usr/local/igl/igl_apps/TexMapPreview/TexMapPreview'; + path_to_convert = '/opt/local/bin/convert'; + %path_to_TexMapPreviewConvert = ... + % '/usr/local/igl/igl_apps/TexMapPreview/TexMapPreviewConvert.sh'; + + prefix = tempprefix(); + png_file_name = [prefix '.png']; + tga_file_name = [prefix '.tga']; + obj_file_name = [prefix '.obj']; + output_tga_file_name = [prefix '-out.tga']; + output_png_file_name = [prefix '-out.png']; + + % write image to png file + imwrite(im_in,png_file_name,'Alpha',alpha_in); + + % convert the png image to a .tga image + [status,result] = ... + issue( ... + 'export DYLD_LIBRARY_PATH="";', ... + path_to_convert, ... + png_file_name, ... + tga_file_name); + % error on error + if(status ~= 0) + error(result); + end + % write mesh to obj file + writeOBJ(obj_file_name,V,F,TC,F); + + % convert the png image to a .tga image + [status,result] = ... + issue( ... + path_to_TexMapPreview, ... + obj_file_name, ... + tga_file_name, ... + output_tga_file_name); + % error on error + if(status ~= 0) + error(result); + end + + % convert output tga to png + + % convert the png image to a .tga image + [status, result] = ... + issue( ... + 'export DYLD_LIBRARY_PATH="";', ... + path_to_convert, ... + output_tga_file_name, ... + output_png_file_name); + % error on error + if(status ~= 0) + error(result); + end + + % clean up temporary files + delete(tga_file_name); + delete(png_file_name); + delete(obj_file_name); + delete(output_tga_file_name); + + if(nargout == 1) + im_out = imread(output_png_file_name); + elseif(nargout == 2) + [im_out,m,alpha_out] = imread(output_png_file_name); + else + % clean up png file before error + delete(output_png_file_name); + error('Too many outputs'); + end + % clean up png file + delete(output_png_file_name); + + + function [status, result] = issue(varargin) + % ISSUE issue a system call with each arguement separated by a space + command = []; + for ii = 1:nargin + command = ['' command ' ' varargin{ii}]; + end + % show the command + fprintf('%s\n',command); + % issue the command + [status, result] = system( command ); + end + +end diff --git a/matlab/external/gptoolbox/wrappers/triangle.m b/matlab/external/gptoolbox/wrappers/triangle.m new file mode 100644 index 0000000..4d17678 --- /dev/null +++ b/matlab/external/gptoolbox/wrappers/triangle.m @@ -0,0 +1,285 @@ +function [TV,TF,TN,VV,VE,VRP,VRD] = triangle(varargin) + % TRIANGLE interface to the Triangle Program. + % + % [TV,TF,TN] = triangle(filename,options) Triangulates file in filename + % [TV,TF,TN] = triangle(V,options) Triangulates convex hull of given points + % [TV,TF,TN] = triangle(V,F,options) Refine an existing mesh + % [TV,TF,TN] = triangle(V,E,H,options) Triangulates a planar straight line graph + % + % Inputs: + % filename triangulates existing .poly or .node file + % V #V by 3 constrained points of triangulation + % F #F by 3 list of triangle indices + % E #E by 2 list of constraint edge indices + % H #H by 2 hole points + % options + % 'Quiet' Don't display command/output {false} + % 'Quality' Quality mesh generation with no angles smaller than 20 + % degrees. An alternate minimum angle may be specified after the `q'. + % 'MaxArea' Imposes a maximum triangle area constraint. A fixed area + % constraint (that applies to every triangle) may be specified, or a + % list of #F area constraints (negative area means triangle is left + % unconstrained) + % 'ConstrainRefine' only if refining an existing mesh, means that edges + % should not be eliminated. Can specify edges after this option, + % otherwise all edges of existing mesh are used. + % 'NoBoundarySteiners' Prohibits the insertion of Steiner points on + % the mesh boundary. + % 'NoEdgeSteiners' prohibits insertion of Steiner points on any segment, + % including internal segments. + % 'MaxSteiners' specifies max number of allowed Steiner points. + % 'Flags' specifies flags string explicitly + % Outputs: + % TV #TV by 2 list of mesh vertices + % TF #TF by 3 list of triangle indices + % TN #TN by 3 list of triangle neighbors + % VV #VV by 2 list of voronoi vertices + % VE #VE by 2 list of voronoi internal edges + % VRP #VRP by 1 list of voronoi infinite ray start points + % VRD #VRP by 2 list of voronoi infinite direction unit vectors + % + % Note: In the command line program, Triangle, you can specify that you want + % to refine an existing mesh AND constrain the triangulation. I'm not sure + % what this means exactly as far as how the inputs used. It is not yet + % supported here. + % + % Copyright 2011, Alec Jacobson (jacobson@inf.ethz.ch) + % + % See also: delaunay, DelaunayTri + % + + % default values + quality = -1; + max_area = -1; + no_boundary_steiners = false; + no_edge_steiners = false; + max_steiners = -1; + quiet = false; + % possible actions are: + % 'TriangulatePoly' + % 'RefineMesh' + triangulate_poly = false; + triangulate_existing = false; + refine_mesh = false; + neighbors = nargout >= 3; + voronoi = nargout >= 4; + flags = ''; + + % parse inputs + if nargin >=1 && ischar(varargin{1}) + filename = varargin{1}; + % strip file extension to get prefix + if ~isempty(regexp(filename,'\.poly$')) + prefix = regexprep(filename,'\.poly$',''); + triangulate_poly = true; + elseif ~isempty(regexp(filename,'\.node$')) + prefix = regexprep(filename,'\.node$',''); + else + prefix = file_name; + end + triangulate_existing = true; + ii = 2; + elseif( nargin == 1 || (nargin > 1 && ischar(varargin{2}))) + V = varargin{1}; + ii = 2; + elseif( nargin == 2 || (nargin > 2 && ischar(varargin{3}))) + refine_mesh = true; + V = varargin{1}; + MF = varargin{2}; + ii = 3; + elseif( nargin == 3 || (nargin > 3 && ischar(varargin{4}))) + triangulate_poly = true; + V = varargin{1}; + PE = varargin{2}; + PH = varargin{3}; + ii = 4; + end + + % parse options + while(ii <= nargin) + switch varargin{ii} + case 'Quiet' + quiet = true; + case 'Quality' + if( (ii+1)<=nargin && ~ischar(varargin{ii+1})) + ii = ii + 1; + assert(ii <= nargin); + quality = varargin{ii}; + else + quality = 20; + end + case 'MaxArea' + ii = ii + 1; + assert(ii <= nargin); + max_area = varargin{ii}; + case 'NoBoundarySteiners' + no_boundary_steiners = true; + case 'NoEdgeSteiners' + no_edge_steiners = true; + case 'Flags' + ii = ii + 1; + assert(ii <= nargin); + flags = varargin{ii}; + case 'MaxSteiners' + ii = ii + 1; + assert(ii <= nargin); + max_steiners = varargin{ii}; + case 'ConstrainRefine' + if(refine_mesh) + triangulate_poly = true; + % Don't think holes are supported here, if they are then + % 'ConstrainRefine' should be able to take two arguements + PH = []; + if( (ii+1)<=nargin && ~ischar(varargin{ii+1})) + ii = ii + 1; + assert(ii <= nargin); + PE = varargin{ii}; + else + PE = edges(MF); + end + else + warning('Ignoring ''ConstrainRefine'' option'); + end + otherwise + error([varargin{ii} ' is not a valid option']); + end + ii = ii + 1; + end + + + % warnings + if(quality > 34) + warning( ... + ['Quality: ' num2str(quality,'%0.15f') ' > 34, triangle might not terminate']); + end + + % command line version + % get a free temporary prefix + if ~exist('prefix','var') + prefix = tempprefix(); + end + + % build command line parameters string + params = '-'; + + if ~triangulate_existing + writeNODE([prefix '.node'],V); + end + + if triangulate_poly + params = [params 'p']; + if ~triangulate_existing + % print poly file + writePOLY_triangle([prefix '.poly'],[],PE,PH); + end + end + + if(refine_mesh) + params = [params 'r']; + % print .ele file + writeELE([prefix '.ele'],MF); + end + + if(quality >= 0) + params = [params 'q' num2str(quality,'%0.15f')]; + end + if(max(size(max_area)) > 1) + params = [params 'a']; + end + if(max(size(max_area)) > 1) + error('Area constraints specified per triangle not yet supported...'); + elseif(max_area >= 0) + params = [params 'a' num2str(max_area,'%0.15f')]; + end + if(max_steiners >= 0) + params = [params 'S' num2str(max_steiners)]; + end + if(no_boundary_steiners && ~no_edge_steiners) + params = [params 'Y']; + end + if(no_edge_steiners) + params = [params 'YY']; + end + if(voronoi) + params = [params 'v']; + end + if(neighbors) + params = [params 'n']; + end + params = [params ' ' flags]; + + command = [path_to_triangle ' ' params ' ' prefix]; + if ~quiet + fprintf('%s\n',command); + end + [status, result] = system( command ); + if(status ~= 0) + error(result); + end + if ~quiet + status + result + end + % read outputs from files + [TV,I] = readNODE([prefix '.1.node']); + TF = readELE([prefix '.1.ele']); + % Triangle likes to use 1-indexed though .ele reader is 0-indexed + if(( min(TF(:)) > 1) && (max(TF(:)) > size(TV,1))) + TF = TF-1; + elseif min(TF(:)) == 0 && max(TF(:)) < size(TV,1) + TF = TF+1; + end + + if isempty(TF) && ~quiet + warning(['No faces produced: ' result]); + end + + if(nargout > 2) + TN = []; + VV = []; + VE = []; + VRP = []; + VRD = []; + end + + if(neighbors) + TN = readELE([prefix '.1.neigh']); + % Triangle likes to use 1-indexed though .ele reader is 0-indexed + if(( min(TN(:)) > 1) && (max(TN(:)) > size(TF,1))) + TN = TN-1; + end + end + + if(voronoi) + [VV] = readNODE([prefix '.1.v.node']); + [VE,VRP,VRD] = readEDGE([prefix '.1.v.edge']); + end + + % delete temporary output files + delete([prefix '.1.node']); + delete([prefix '.1.ele']); + if(exist([prefix '.1.poly'],'file')) + delete([prefix '.1.poly']); + end + if(exist([prefix '.1.v.node'],'file')) + delete([prefix '.1.v.node']); + end + if(exist([prefix '.1.v.edge'],'file')) + delete([prefix '.1.v.edge']); + end + + % Delete temporary input files + if ~triangulate_existing + delete([prefix '.node']); + end + + if triangulate_poly && ~triangulate_existing + delete([prefix '.poly']); + end + + if refine_mesh && ~triangulate_existing + delete([prefix '.ele']); + else + +end + diff --git a/matlab/hole_fill.m b/matlab/hole_fill.m new file mode 100644 index 0000000..9391d6c --- /dev/null +++ b/matlab/hole_fill.m @@ -0,0 +1,251 @@ +function [vertices, faces] = hole_fill(vertices, faces, hole, inflate) +%HOLE_FILL Fill specified hole (CCW face vertex order) + + % Fill missing arguments + if nargin < 4 + inflate = true; + end + + % Fit initial patch + [PV, PF] = create_patch(vertices, hole); + + if inflate + + % Estimate normals + PN = diffuse_normals(vertices, faces, PV, PF, hole); + + % Adjust vertex locations + % TODO this does not work well :'( + PV = adjust_vertices(PV, PF, 1 : length(hole), PN); + + end + + % Merge geometry + map = [hole; (1 : size(PV, 1) - length(hole))' + size(vertices, 1)]; + faces = [faces; map(PF)]; + vertices = [vertices; PV(length(hole) + 1 : end, :)]; + +end + +function [PV, PF] = create_patch(V, H) + h = length(H); + + % Generate angles and radii + T = [h; (floor(h / 6) * 6 - 6 : -6 : 6)'; 1]; + R = []; + A = []; + for i = 1 : length(T) + R = [R; ones(T(i), 1) * (length(T) - i)]; + A = [A; (1 : T(i))' / T(i) * 2 * pi]; + end + + % Create circular patch with average vertex valence of 6 + PV = repmat(R, 1, 2) .* [cos(A), sin(A)]; + PF = delaunay(PV); + PV = [PV, zeros(size(PV, 1), 1)]; + %show(); + + % Get patch segments + PS = [ ... + PF(:, [1, 2]); ... + PF(:, [1, 3]); ... + PF(:, [2, 3]) ... + ]; + PS = sort(PS, 2); + PS = unique(PS, 'rows'); + + % Compute laplacian matrix + L = [ ... + PS(:, 1), PS(:, 1), ones(size(PS, 1), 1); ... + PS(:, 2), PS(:, 2), ones(size(PS, 1), 1); ... + PS(:, 1), PS(:, 2), -ones(size(PS, 1), 1); ... + PS(:, 2), PS(:, 1), -ones(size(PS, 1), 1) ... + ]; + L = sparse(L(:, 1), L(:, 2), L(:, 3)); + + % Use quadratic program to find initial guess + Q = kron(L, speye(3)); + E = speye(3 * h, 3 * size(PV, 1)); + d = reshape(V(H, :)', 3 * h, 1); + x = [Q, E'; E, sparse(3 * h, 3 * h)] \ [zeros(3 * size(PV, 1), 1); d]; + PV = reshape(x(1 : 3 * size(PV, 1)), 3, size(PV, 1))'; + %show(); + + % Debug function +% function show() +% trimesh(PF, PV(:, 1), PV(:, 2), PV(:, 3)); +% hold on; +% N = normalizerow(normals(PV, PF)); +% C = (PV(PF(:, 1), :) + PV(PF(:, 2), :) + PV(PF(:, 3), :)) / 3; +% quiver3(C(:, 1), C(:, 2), C(:, 3), N(:, 1), N(:, 2), N(:, 3)) +% hold off; +% view([-90, 0]); +% camlight; +% view([90, 0]); +% camlight; +% axis equal; +% grid off; +% lighting gouraud; +% axis off; +% pause; +% end + +end + +function PN = diffuse_normals(V, F, PV, PF, H) + + % Get patch segments + PS = [ ... + PF(:, [1, 2]); ... + PF(:, [1, 3]); ... + PF(:, [2, 3]) ... + ]; + PS = sort(PS, 2); + PS = unique(PS, 'rows'); + + % Compute laplacian matrix + L = [ ... + PS(:, 1), PS(:, 1), ones(size(PS, 1), 1); ... + PS(:, 2), PS(:, 2), ones(size(PS, 1), 1); ... + PS(:, 1), PS(:, 2), -ones(size(PS, 1), 1); ... + PS(:, 2), PS(:, 1), -ones(size(PS, 1), 1) ... + ]; + L = sparse(L(:, 1), L(:, 2), L(:, 3)); + + % Compute smoothing matrix + S = abs(L); + S = S' + S; + + % Get mesh normals + N = normalizerow(per_vertex_normals(V, F)); + + % Get initial guess for patch normals + PN = [N(H, :); zeros(size(PV, 1) - length(H), 3)]; + TN = normalizerow(per_vertex_normals(PV, PF)); + PN(end, :) = TN(end, :); + + % Estimate desired patch vertex normals by diffusion + IN = PN; + II = [1 : length(H), size(PV, 1)]; + for i = 1 : length(H) + PN = S * PN; + l = sqrt(sum(PN .^ 2, 2)); + l(l < 0.0001) = 1; + PN = PN ./ repmat(l, 1, 3); + PN(II, :) = IN(II, :); + %show(); + end + + % Compute desired per face normals + PN = normalizerow( ... + PN(PF(:, 1), :) + ... + PN(PF(:, 2), :) + ... + PN(PF(:, 3), :) ... + ); + + % Debug function +% function show() +% trimesh(PF, PV(:, 1), PV(:, 2), PV(:, 3)); +% hold on; +% quiver3(PV(:, 1), PV(:, 2), PV(:, 3), PN(:, 1), PN(:, 2), PN(:, 3)) +% hold off; +% view([-90, 0]); +% camlight; +% view([90, 0]); +% camlight; +% axis equal; +% grid off; +% lighting gouraud; +% axis off; +% pause; +% end + +end + +function V = adjust_vertices(V, F, H, N) + f = size(F, 1); + v = size(V, 1); + h = length(H); + + % Estimate edge size + S = [ ... + F(:, [1, 2]); ... + F(:, [1, 3]); ... + F(:, [2, 3]) ... + ]; + r = pi / 2 * mean(sqrt(sum((V(S(:, 1), :) - V(S(:, 2), :)) .^ 2, 2))); + + % Compute orthonormal basis {e1, e2, n} for each face + E2 = rand(f, 3) - 0.5; + E1 = normalizerow(cross(E2, N, 2)); + E2 = normalizerow(cross(N, E1, 2)); + + % Get subvertices (face vertices) + S = reshape(F', 3 * f, 1); + P = V(S, :); + + % Repeat multiple times + for n = 1 : 3 + + % Project subvertices on oriented circle + C = (V(F(:, 1), :) + V(F(:, 2), :) + V(F(:, 3), :)) / 3; + D = P - kron(C, [1; 1; 1]); + PC = [dot(D, kron(E1, [1; 1; 1]), 2), dot(D, kron(E2, [1; 1; 1]), 2)]; + R = ( ... + sqrt(sum((D(:, 2) - D(:, 1)) .^ 2, 2)) + ... + sqrt(sum((D(:, 3) - D(:, 2)) .^ 2, 2)) + ... + sqrt(sum((D(:, 1) - D(:, 3)) .^ 2, 2)) + ... + r ... + ) / 4; + PC = normalizerow(PC) .* repmat(R, 1, 2); + D = repmat(PC(:, 1), 1, 3) .* kron(E1, [1; 1; 1]) + repmat(PC(:, 2), 1, 3) .* kron(E2, [1; 1; 1]); + P = D + kron(C, [1; 1; 1]); + show(); + + % Use quadratic program to estimate best centers and vertices + A = []; + for k = 1 : 3 * f + i = ceil(k / 3); + j = S(k); + I = (1 : 3) + 3 * k - 3; + J = [3 * i - 2, 3 * i - 1, 3 * i, 3 * f + 3 * j - 2, 3 * f + 3 * j - 1, 3 * f + 3 * j, 3 * f + 3 * v + 1]; + [J, I] = meshgrid(J, I); + K = [eye(3), -eye(3), D(k, :)']; + A = [A; I(:), J(:), K(:)]; + end + A = sparse(A(:, 1), A(:, 2), A(:, 3), 9 * f, 3 * f + 3 * v + 1); + E = [zeros(3 * h, 3 * f), kron(sparse(1 : h, H, ones(1, h), h, v), speye(3)), zeros(3 * h, 1); zeros(1, 3 * f + 3 * v), 1]; + Q = [A' * A, E'; E, zeros(3 * h + 1, 3 * h + 1)]; + d = [zeros(3 * f + 3 * v + 1, 1); reshape(V(H, :)', 3 * h, 1); 1]; + x = Q \ d; + + % Update centers + C = reshape(x(1 : 3 * f), 3, f)'; + P = D + kron(C, [1; 1; 1]); + show(); + + % Update vertices + V = reshape(x(3 * f + 1 : 3 * f + 3 * v), 3, v)'; + P = V(S, :); + show(); + + end + + % Debug function + function show() + trimesh(reshape(1 : 3 * f, 3, f)', P(:, 1), P(:, 2), P(:, 3)); + hold on; + quiver3(C(:, 1), C(:, 2), C(:, 3), N(:, 1), N(:, 2), N(:, 3)); + hold off; + view([-90, 0]); + camlight; + view([90, 0]); + camlight; + axis equal; + grid off; + lighting gouraud; + axis off; + pause; + end + +end diff --git a/matlab/hole_find.m b/matlab/hole_find.m new file mode 100644 index 0000000..67b8407 --- /dev/null +++ b/matlab/hole_find.m @@ -0,0 +1,31 @@ +function holes = hole_find(faces) +%HOLE_FIND Find all holes in given mesh (i.e. sequence of boundary vertices) + + % Find boundary edges (assuming CCW faces) + edges = [ ... + faces(:, [1, 2]); ... + faces(:, [2, 3]); ... + faces(:, [3, 1]) ... + ]; + borders = []; + for i = 1 : size(edges, 1) + if ~any(edges(:, 1) == edges(i, 2) & edges(:, 2) == edges(i, 1)) + borders = [borders; edges(i, [2, 1])]; + end + end + + % Extract hole sequences + holes = {}; + while ~isempty(borders) + hole = borders(1, :); + borders = borders(2 : end, :); + while hole(1) ~= hole(end) + c = find(borders(:, 1) == hole(end)); + hole = [hole, borders(c, 2)]; + borders(c, :) = []; + end + hole = hole(2 : end)'; + holes = [holes, hole]; + end + +end diff --git a/matlab/hrbf_apply.m b/matlab/hrbf_apply.m new file mode 100644 index 0000000..3aa5364 --- /dev/null +++ b/matlab/hrbf_apply.m @@ -0,0 +1,40 @@ +function [distance, gradient] = hrbf_apply(centers, coefficients, points) +%HRBF_APPLY Compute HRBF distance value for specified point +% +% Inputs +% centers: m by 3 double +% coefficients: m by 4 double +% points: n by 3 double +% +% Outputs +% distance: n by 1 double +% gradient: n by 3 double +% + + % Initialize + m = size(centers, 1); + n = size(points, 1); + distance = zeros(n, 1); + gradient = zeros(n, 3); + + % For each center... + for i = 1 : m + delta = points - repmat(centers(i, :), n, 1); + norm = sqrt(sum(delta .* delta, 2)); + + % Compute distance + distance = distance + coefficients(i, 1) * norm .* norm .* norm + ... + (delta * coefficients(i, 2 : 4)') * 3 .* norm; + + % Compute gradient + if nargout > 1 + norm(abs(norm) < 0.000001) = 1; + gradient = gradient + ... + repmat(coefficients(i, 1) * norm, 1, 3) .* delta + ... + repmat(delta * coefficients(i, 2 : 4)' ./ norm, 1, 3) .* delta + ... + norm * coefficients(i, 2 : 4); + end + end + gradient = 3 * gradient; + +end diff --git a/matlab/hrbf_centers.m b/matlab/hrbf_centers.m new file mode 100644 index 0000000..3fa1509 --- /dev/null +++ b/matlab/hrbf_centers.m @@ -0,0 +1,26 @@ +function centers = hrbf_centers(vertices, faces, count) +%HRBF_CENTERS Generate centers that should approximate given vertices +% +% Inputs +% vertices: v by 3 double +% faces: f by 3 integer +% count: integer (default 10) +% +% Outputs +% centers: count by 3 double +% + + % Define missing arguments + if nargin < 2 + faces = convhull(vertices(:, 1), vertices(:, 2), vertices(:, 3)); + end + if nargin < 3 + count = 10; + end + + % Use Poisson sampling to select centers on mesh surface + centers = mesh_random_points(vertices, faces, count); + % TODO allow centers inside convex hull? + +end + diff --git a/matlab/hrbf_coefficients.m b/matlab/hrbf_coefficients.m new file mode 100644 index 0000000..f407546 --- /dev/null +++ b/matlab/hrbf_coefficients.m @@ -0,0 +1,56 @@ +function coefficients = hrbf_coefficients(centers, points, normals) +%HRBF_COEFF Compute HRBF coefficients for provided centers +% +% Inputs +% centers: m by 3 double +% points: n by 3 double +% normals: n by 3 double +% +% Outputs +% coefficients: m by 4 double +% + + N = size(points, 1); + M = size(centers, 1); + + % Build linear system + A = zeros(4 * N, 4 * M); + B = zeros(4 * N, 1); + a = zeros(4, 4); + b = zeros(4, 1); + for n = 1 : N + + % Fill right-hand side + b(1) = 0; + b(2 : 4) = normals(n, :); + B(4 * n - 3 : 4 * n) = b; + + % Fill left-hand side + for m = 1 : M + + x = points(n, :); + v = centers(m, :); + delta = x - v; + norm = sqrt(delta * delta'); + + if norm > 0.00001 + + phi = norm * norm * norm; + dphi = 3 * norm * norm; + ddphi = 6 * norm; + + a(1, 1) = phi; + a(1, 2 : 4) = delta * dphi / norm; + a(2 : 4, 1) = delta * dphi / norm; + a(2 : 4, 2 : 4) = (ddphi - dphi / norm) / (norm * norm) * (delta' * delta) + eye(3) * dphi / norm; + + A(4 * n - 3 : 4 * n, 4 * m - 3 : 4 * m) = a; + + end + end + end + + % Solve linear system + coefficients = reshape(A \ B, [4, M])'; + +end diff --git a/matlab/hrbf_points.m b/matlab/hrbf_points.m new file mode 100644 index 0000000..4a85fe1 --- /dev/null +++ b/matlab/hrbf_points.m @@ -0,0 +1,44 @@ +function [points, normals] = hrbf_points(vertices, faces, offset) +%HRBF_POINTS Generate control points for specified mesh +% +% Inputs +% vertices: v by 3 double +% faces: f by 3 integer +% +% Outputs +% points: n by 3 double +% normals: n by 3 double +% + + % TODO improve this using hole_fill + + % Add missing arguments + if nargin < 3 + offset = 1; + end + + % Sample mesh vertices + [points, normals] = mesh_random_points(vertices, faces, floor(size(vertices, 1) / 10)); + + % Add control points on holes + holes = hole_find(faces); + for i = 1 : length(holes) + + % Fill hole roughly + [patch_vertices, patch_faces] = hole_fill(vertices, faces, holes{i}, false); + keep = (1 : size(patch_vertices, 1)) > size(vertices, 1) + (size(patch_vertices, 1) - size(vertices, 1)) / 3 * 2; + [patch_vertices, patch_faces] = mesh_filter_vertices(patch_vertices, patch_faces, keep); + + % Select random points and move them + if size(patch_vertices, 1) < 11 + [patch_vertices, patch_faces] = upsample(patch_vertices, patch_faces); + end + [p, n] = mesh_random_points(patch_vertices, patch_faces, floor(size(patch_vertices, 1) / 5), false); + p = p + offset * n; + + % Add them to control points + points = [points; p]; + normals = [normals; n]; + end + +end diff --git a/matlab/matrix_apply.m b/matlab/matrix_apply.m new file mode 100644 index 0000000..5971b1c --- /dev/null +++ b/matlab/matrix_apply.m @@ -0,0 +1,29 @@ +function vectors = matrix_apply(matrix, vectors, constant) +%MATRIX_APPLY Apply 3D transformation to vector +% +% Inputs +% matrix: 4 by 4 double or 3 by 3 double +% vectors: n by 3 double +% constant: double (default 1) +% +% Outputs +% vectors: n by 3 double +% + + % Validate arguments + if nargin < 3 + constant = 1; + end + if length(constant) == 1 + constant = ones(size(vectors, 1), 1) * constant; + end + if size(matrix, 1) == 3 + matrix = [matrix, [0; 0; 0]; 0, 0, 0, 1]; + end + + % Apply transformation + w = matrix * [vectors, constant]'; + vectors = w(1:3, :)'; + +end + diff --git a/matlab/matrix_rotation.m b/matlab/matrix_rotation.m new file mode 100644 index 0000000..7e6e02c --- /dev/null +++ b/matlab/matrix_rotation.m @@ -0,0 +1,37 @@ +function matrix = matrix_rotation(angle, axis, center) +%MATRIX_ROTATION 3D rotation matrix around axis +% +% Inputs +% angle: double +% axis: 1 by 3 double (default [0, 0, 1]) +% center: 1 by 3 double (default [0, 0, 0]) +% +% Outputs +% matrix: 4 by 4 double +% + + % Fill missing arguments + if nargin < 3 + center = [0, 0, 0]; + end + if nargin < 2 + axis = [0, 0, 1]; + end + + % Translate toward center + t1 = eye(4); + t1(1 : 3, 4) = center'; + + % Rotate around axis + r = eye(4); + r(1 : 3, 1 : 3) = axisangle2matrix(axis, angle); + + % Translate back + t2 = eye(4); + t2(1 : 3, 4) = -center'; + + % Combine + matrix = t1 * r * t2; + +end + diff --git a/matlab/mesh/1.obj b/matlab/mesh/1.obj new file mode 100644 index 0000000..55a03af --- /dev/null +++ b/matlab/mesh/1.obj @@ -0,0 +1,12258 @@ +# OBJ written from C:\Users\vortex\Documents\MODODATA\claw.obj +# Units meters + +o Mesh +v -1.20043 -0.711839 -2.07032 +v -1.40756 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a/matlab/mesh/blocks.mat b/matlab/mesh/blocks.mat new file mode 100644 index 0000000..9b081f2 Binary files /dev/null and b/matlab/mesh/blocks.mat differ diff --git a/matlab/mesh/centers.mat b/matlab/mesh/centers.mat new file mode 100644 index 0000000..dd5efb3 Binary files /dev/null and b/matlab/mesh/centers.mat differ diff --git a/matlab/mesh/centers1.mat b/matlab/mesh/centers1.mat new file mode 100644 index 0000000..dd031b6 Binary files /dev/null and b/matlab/mesh/centers1.mat differ diff --git a/matlab/mesh/centers2.mat b/matlab/mesh/centers2.mat new file mode 100644 index 0000000..8acd030 Binary files /dev/null and b/matlab/mesh/centers2.mat differ diff --git a/matlab/mesh/centers3.mat b/matlab/mesh/centers3.mat new file mode 100644 index 0000000..0da8e56 Binary files /dev/null and b/matlab/mesh/centers3.mat differ diff --git a/matlab/mesh/centers_adam.csv b/matlab/mesh/centers_adam.csv new file mode 100644 index 0000000..c7c24d8 --- /dev/null +++ b/matlab/mesh/centers_adam.csv @@ 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a/matlab/mesh/centers_ok.csv b/matlab/mesh/centers_ok.csv new file mode 100644 index 0000000..f266605 --- /dev/null +++ b/matlab/mesh/centers_ok.csv @@ -0,0 +1,30 @@ +-8.153833,0.619162,-4.929981 +-6.695153,0.901492,-4.940384 +-4.749886,1.303445,-4.741952 +-1.648206,1.845687,-4.268406 +-10.032001,-1.087157,-2.912704 +-8.473292,0.100552,-2.820792 +-6.288454,1.242438,-2.697235 +-2.841496,2.058845,-2.135742 +-9.338131,-3.653279,-0.325875 +-8.844819,-2.083121,-0.287760 +-6.974169,0.369853,-0.352431 +-3.742549,2.130702,-0.394582 +-4.561090,-3.817314,1.963233 +-5.950878,-2.570295,1.988562 +-6.084483,-0.557094,1.938182 +-3.410162,2.068041,2.137379 +-3.172287,-3.711417,2.027889 +-1.035629,-2.733039,3.506765 +2.702101,0.700906,2.880727 +3.920535,1.816530,1.099044 +0.120805,1.266921,3.071453 +4.773020,2.087003,-0.453115 +4.235964,2.151517,-2.084265 +5.730145,1.588349,-1.955216 +6.199056,1.385506,1.441092 +14.557220,1.820079,-1.856669 +20.083143,1.981870,-0.693687 +-2.213629,0.855486,-3.195971 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b/matlab/mesh/export_centers.py new file mode 100644 index 0000000..2a41427 --- /dev/null +++ b/matlab/mesh/export_centers.py @@ -0,0 +1,14 @@ +# Blender script to export the positions of the spheres in csv +import bpy + +file = open("centers.csv", "w") +for i in range(1, 10): + pos = bpy.data.objects["C0" + str(i)].matrix_world.translation + out = ",".join([("%.6f" % component) for component in pos]) + file.write(out + "\n") +for i in range(10, 31): + pos = bpy.data.objects["C" + str(i)].matrix_world.translation + out = ",".join([("%.6f" % component) for component in pos]) + file.write(out + "\n") + +file.close() diff --git a/matlab/mesh/export_weights.py b/matlab/mesh/export_weights.py new file mode 100644 index 0000000..16d62dc --- /dev/null +++ b/matlab/mesh/export_weights.py @@ -0,0 +1,18 @@ +# Blender script to export the skinning weights in csv +import bpy + +vertices = bpy.data.objects["Hand"].data.vertices +group_names = [g.name for g in bpy.data.objects["Hand"].vertex_groups] +bones_count = len(group_names) + +file = open("weights.csv", "w") +str = ",".join([name for name in group_names]) +file.write(str + "\n") + +for v in vertices: + weights = [0 for i in range(bones_count)] + for g in v.groups: + weights[g.group] = g.weight + str = ",".join([("%.6f" % w) for w in weights]) + file.write(str + "\n") +file.close() diff --git a/matlab/mesh/finger.mat b/matlab/mesh/finger.mat new file mode 100644 index 0000000..820cfa1 Binary files /dev/null and b/matlab/mesh/finger.mat differ diff --git a/matlab/mesh/god.blend b/matlab/mesh/god.blend new file mode 100644 index 0000000..2eede3e Binary files /dev/null and b/matlab/mesh/god.blend differ diff --git a/matlab/mesh/neutral.mat b/matlab/mesh/neutral.mat new file mode 100644 index 0000000..c71ad38 Binary files /dev/null and b/matlab/mesh/neutral.mat differ diff --git a/matlab/mesh/neutral.obj b/matlab/mesh/neutral.obj new file mode 100644 index 0000000..fde6268 --- /dev/null +++ b/matlab/mesh/neutral.obj @@ -0,0 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% Retrieve the indices of the 2 old vertices surrounding every new vertex + [row, ~] = find(adj_mat(old_vertices_indices, new_vertices_indices)); + indices = reshape(row, 2, size(row, 1) / 2)'; + + mesh.vertices = vertices; + mesh.faces = faces; + + % Interpolate normals + if isfield(mesh, 'normals') + normals = normalizerow( ... + mesh.normals(indices(:, 1), :) + ... + mesh.normals(indices(:, 2), :) ... + ); + mesh.normals = [mesh.normals; normals]; + end + + % Interpolate weights + if isfield(mesh, 'weights') + weights = ( ... + mesh.weights(indices(:, 1), :) + ... + mesh.weights(indices(:, 2), :) ... + ); + weights = weights ./ repmat(sum(weights, 2), 1, size(weights, 2)); + mesh.weights = [mesh.weights; weights]; + + % Update assignments + [~, mesh.assignments] = max(mesh.weights, [], 2); + end + + % Update implicit precomputations + if isfield(mesh, 'implicit') + mesh.implicit.adj_mat = adj_mat; + [mesh.implicit.mvc, mesh.implicit.is_on_side] = mesh_mvc(mesh); + + blend_weight = ( ... + mesh.implicit.blend_weight(indices(:, 1), :) + ... + mesh.implicit.blend_weight(indices(:, 2), :) ... + ) ./ 2; + mesh.implicit.blend_weight = [mesh.implicit.blend_weight; blend_weight]; + end + + % Update bones + if isfield(mesh, 'bones') + for i = 1 : length(mesh.bones) + keep = mesh.assignments == i; + indices = 1 : size(mesh.vertices, 1); + mesh.bones{i}.indices = indices(keep); + [mesh.bones{i}.vertices, mesh.bones{i}.faces] = mesh_filter_vertices(mesh.vertices, mesh.faces, keep); + mesh.bones{i}.normals = mesh.normals(keep, :); + end + end +end + diff --git a/matlab/mesh_filter_vertices.m b/matlab/mesh_filter_vertices.m new file mode 100644 index 0000000..9a7f25e --- /dev/null +++ b/matlab/mesh_filter_vertices.m @@ -0,0 +1,24 @@ +function [vertices, faces] = mesh_filter_vertices(vertices, faces, keep) +%MESH_FILTER_VERTICES Keep only specified vertices and discard unused elements +% +% Inputs +% vertices: v by 3 double +% faces: f by 3 integer +% keep: v by 1 logical +% +% Outputs +% vertices: v by 3 double +% faces: f by 3 integer +% + + % Drop unused faces + indices = 1 : size(vertices, 1); + faces = faces(all(ismember(faces, indices(keep)), 2), :); + + % Remap vertices + map = cumsum(keep); + faces = map(faces); + vertices = vertices(keep, :); + +end + diff --git a/matlab/mesh_mvc.m b/matlab/mesh_mvc.m new file mode 100644 index 0000000..47e8d44 --- /dev/null +++ b/matlab/mesh_mvc.m @@ -0,0 +1,28 @@ +function [mean_value_coord, is_on_side] = mesh_mvc(mesh) +%MESH_MVC Compute the Mean value coordinates for each vertex with respect to its neighbours +% +% Inputs +% mesh: complete mesh +% +% Outputs +% mean_value_coord: n by n sparse double, The coefficients for the neighbours of v_i are in the column i +% + + [neighbours, is_on_side] = mesh_neighbours_list(mesh); + + points_count = size(mesh.vertices, 1); + mean_value_coord = spalloc(points_count, points_count, 6 * points_count); + for i = 1:points_count + if ~is_on_side(i) + grad = mesh.normals(i, :); + % Projects the one-ring neighbours of v_i onto tangent plane + ni = mesh.vertices(neighbours{i}, :); + n_count = size(ni, 1); + % q_proj = q - dot(q - p, n) * n, where n is a unit vector + ni_proj = ni - dot(ni - repmat(mesh.vertices(i, :), [n_count, 1]), repmat(grad, [n_count, 1]), 2) * grad; + + mean_value_coord(neighbours{i}, i) = mvc(mesh.vertices(i, :), ni_proj)'; + end + end +end + diff --git a/matlab/mesh_neighbours_list.m b/matlab/mesh_neighbours_list.m new file mode 100644 index 0000000..61f7452 --- /dev/null +++ b/matlab/mesh_neighbours_list.m @@ -0,0 +1,45 @@ +function [neighbours, is_vertex_on_side] = mesh_neighbours_list(mesh) +%MESH_NEIGHBOURS_LIST For every vertex, compute the list of (one-ring) neighbours in counter-clockwise order +% +% Inputs +% F: f by 3 double +% +% Outputs +% neighbours: n by 1 array of x by 1 double, where x is the number of neighbours for the vertex +% is_vertex_on_side: n by 1 logical, Specify if a vertex is on a mesh boundary +% + + is_on_side_indices = outline(mesh.faces); + is_vertex_on_side = zeros(size(mesh.vertices, 1), 1); + is_vertex_on_side(is_on_side_indices(:, 1)) = 1; + + neighbours = cell(size(mesh.vertices, 1), 1); + for i = 1:size(mesh.vertices, 1) + if ~is_vertex_on_side(i) + v = mesh.vertices(i, :); + neighbours_indices = find(mesh.implicit.adj_mat(:, i)); + neighbours_positions = mesh.vertices(neighbours_indices, :); + + % Compute unit vectors from v to the neighbours + v_to_neighbours = neighbours_positions - repmat(v, [size(neighbours_positions, 1), 1]); + v_to_neighbours = normalizerow(v_to_neighbours); + + % Get a 2d basis + x_axis = v_to_neighbours(1, :); + y_axis = cross(mesh.normals(i, :), x_axis); + y_axis = y_axis ./ norm(y_axis); + + % Project the neighbours onto this bases + x_coords = dot(repmat(x_axis, [size(v_to_neighbours, 1), 1]), v_to_neighbours, 2); + y_coords = dot(repmat(y_axis, [size(v_to_neighbours, 1), 1]), v_to_neighbours, 2); + + % Get the angles with respect to the first neighbours around the normal vector + angles = atan2(y_coords, x_coords); + + angles_with_indices = [angles, neighbours_indices]; + angles_with_indices = sortrows(angles_with_indices); + + neighbours{i} = angles_with_indices(:, 2); + end + end +end \ No newline at end of file diff --git a/matlab/mesh_random_points.m b/matlab/mesh_random_points.m new file mode 100644 index 0000000..bd41299 --- /dev/null +++ b/matlab/mesh_random_points.m @@ -0,0 +1,39 @@ +function [points, points_normals] = mesh_random_points(vertices, faces, count, poisson) +%MESH_RANDOM_POINTS Sample random points on mesh using Poisson sampling +% +% Inputs +% vertices: v by 3 double +% faces: f by 3 integer +% count: integer (default v) +% poisson: use Poisson sampling (default true) +% +% Outputs +% points: count by 3 double +% points_normals: count by 3 double +% + + % Define missing arguments + if nargin < 3 + count = size(vertices, 1); + end + if nargin < 4 + poisson = true; + end + + % Poisson sampling doesn't work if some vertices are unused + [vertices, indices] = remove_unreferenced(vertices, faces); + faces = indices(faces); + + % Generate points and normals + if poisson + [points, indices] = random_points_on_mesh(vertices, faces, count, 'Color', 'blue'); + else + [points, indices] = random_points_on_mesh(vertices, faces, count, 'Color', 'white'); + end + if nargout > 1 + points_normals = normals(vertices, faces); + points_normals = normalizerow(points_normals(indices, :)); + end + +end + diff --git a/matlab/registration/anastasia.blend b/matlab/registration/anastasia.blend new file mode 100644 index 0000000..27e999c Binary files /dev/null and b/matlab/registration/anastasia.blend differ diff --git a/matlab/registration/anastasia.obj b/matlab/registration/anastasia.obj new file mode 100644 index 0000000..62cd232 --- /dev/null +++ b/matlab/registration/anastasia.obj @@ -0,0 +1,126656 @@ +#### +# +# OBJ File Generated by Meshlab +# +#### +# Object anastasia.obj +# +# Vertices: 42397 +# 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72456//72456 15//15 16//16 diff --git a/matlab/registration/anastasia_fixed.mat b/matlab/registration/anastasia_fixed.mat new file mode 100644 index 0000000..8849fc6 Binary files /dev/null and b/matlab/registration/anastasia_fixed.mat differ diff --git a/matlab/registration/apply_matrix.m b/matlab/registration/apply_matrix.m new file mode 100644 index 0000000..758cd5e --- /dev/null +++ b/matlab/registration/apply_matrix.m @@ -0,0 +1,18 @@ +function v = apply_matrix(m, v, constant) +%APPLY_MATRIX apply 3D transformation to vector + + if nargin < 3 + constant = 1; + end + if length(constant) == 1 + constant = ones(size(v, 1), 1) * constant; + end + if size(m, 1) == 3 + m = [m, [0; 0; 0]; 0, 0, 0, 1]; + end + + w = m * [v, constant]'; + v = w(1:3, :)'; + +end + diff --git a/matlab/registration/centers_anastasia.csv b/matlab/registration/centers_anastasia.csv new file mode 100644 index 0000000..2ba704e --- /dev/null +++ b/matlab/registration/centers_anastasia.csv @@ -0,0 +1,30 @@ +-1.997135,-3.040528,9.268953 +-1.776095,-3.025956,9.550471 +-1.538192,-2.951953,9.841887 +-1.123730,-2.733493,10.234938 +-2.592823,-2.458169,9.219210 +-2.314683,-2.507964,9.539998 +-1.993651,-2.549673,9.985771 +-1.457580,-2.465798,10.448391 +-2.956465,-2.131920,9.374078 +-2.741296,-2.183090,9.697685 +-2.390001,-2.221776,10.166879 +-1.741804,-2.202007,10.588429 +-2.946751,-1.706429,9.663307 +-2.741349,-1.747008,9.979128 +-2.431409,-1.783378,10.318542 +-1.822479,-1.722545,10.816022 +-1.933051,-0.568437,10.291881 +-1.544008,-0.575988,10.642008 +-0.751608,-0.932390,10.856736 +-0.281230,-1.529664,10.921740 +-1.158600,-1.305447,10.869104 +-0.020615,-1.794484,10.861069 +0.067963,-2.073455,10.728643 +0.302411,-1.910286,10.818636 +0.032371,-1.361308,11.013411 +1.505255,-1.393627,11.824341 +2.143713,-0.909315,12.512192 +-1.259224,-2.511457,10.149089 +-1.629504,-2.273401,10.320515 +-1.870446,-1.911259,10.476797 diff --git a/matlab/registration/compute_bone_axes.m b/matlab/registration/compute_bone_axes.m new file mode 100644 index 0000000..db875f7 --- /dev/null +++ b/matlab/registration/compute_bone_axes.m @@ -0,0 +1,76 @@ +function axes = compute_bone_axes(centers) +%COMPUTE_BONE_AXES Compute local axes for each bone + + if iscell(centers) + tmp = zeros(30, 3); + for i = 1 : 30 + tmp(i, :) = centers{i}.center; + end + centers = tmp; + end + + axes = cell(1, 18); + + % Palm + root = centers(26, :) * 0.5 + centers(27, :) * 0.5; + axes{1} = build(root, centers(22, :) - root, centers(25, :) - centers(24, :)); + axes{2} = build(centers(22, :), centers(12, :) - centers(22, :), centers(20, :) - centers(23, :)); + proto = centers(8, :) * 0.5 + centers(23, :) * 0.5; + axes{15} = build(proto, centers(4, :) - proto, centers(8, :) - centers(4, :)); + + % Thumb + % TODO is thumb normal correct? + n_thumb = -finger_normal(centers(20, :), centers(19, :), centers(17, :), centers(16, :)); + axes{3} = build(centers(20, :), centers(19, :) - centers(20, :), n_thumb); + axes{4} = build(centers(19, :), centers(18, :) - centers(19, :), n_thumb); + axes{5} = build(centers(18, :), centers(17, :) - centers(18, :), n_thumb); + + % Index + n_index = -finger_normal(centers(16, :), centers(15, :), centers(13, :), centers(12, :)); + axes{6} = build(centers(16, :), centers(15, :) - centers(16, :), n_index); + axes{7} = build(centers(15, :), centers(14, :) - centers(15, :), n_index); + axes{8} = build(centers(14, :), centers(13, :) - centers(14, :), n_index); + + % Middle + n_middle = -finger_normal(centers(12, :), centers(11, :), centers(9, :), centers(8, :)); + axes{9} = build(centers(12, :), centers(11, :) - centers(12, :), n_middle); + axes{10} = build(centers(11, :), centers(10, :) - centers(11, :), n_middle); + axes{11} = build(centers(10, :), centers(9, :) - centers(10, :), n_middle); + + % Ring + n_ring = -finger_normal(centers(8, :), centers(7, :), centers(5, :), centers(4, :)); + axes{12} = build(centers(8, :), centers(7, :) - centers(8, :), n_ring); + axes{13} = build(centers(7, :), centers(6, :) - centers(7, :), n_ring); + axes{14} = build(centers(6, :), centers(5, :) - centers(6, :), n_ring); + + % Pinky + n_pinky = finger_normal(centers(4, :), centers(1, :), centers(3, :), centers(8, :)); + axes{16} = build(centers(4, :), centers(3, :) - centers(4, :), n_pinky); + axes{17} = build(centers(3, :), centers(2, :) - centers(3, :), n_pinky); + axes{18} = build(centers(2, :), centers(1, :) - centers(2, :), n_pinky); +end + +function normal = finger_normal(u, v, w, x) + uv = normalizerow(v - u); + uw = normalizerow(w - u); + ux = normalizerow(x - u); + n = cross(uw, uv); + l = norm(n); + if l < 0.001 + n = ux; + else + n = n / l; + end + if dot(ux, n) < 0 + n = -n; + end + normal = l * n + (1 - l) * ux; +end + +function axe = build(o, x, y) + x = normalizerow(x); + y = normalizerow(y); + z = normalizerow(cross(x, y)); + y = cross(z, x); + axe = [x', y', z', o'; 0, 0, 0, 1]; +end diff --git a/matlab/registration/compute_correspondences.m b/matlab/registration/compute_correspondences.m new file mode 100644 index 0000000..a627b1d --- /dev/null +++ b/matlab/registration/compute_correspondences.m @@ -0,0 +1,49 @@ +function pairs = compute_correspondences(mesh_vertices, mesh_normals, points_vertices, points_normals, distance_threshold, cos_angle_threshold) +%COMPUTE_CORRESPONDENCES For each mesh vertex, find closest point in cloud + + % Define missing arguments + if nargin < 5 + distance_threshold = 0.1; + end + if nargin < 6 + cos_angle_threshold = cos(30 * pi / 180); + end + + % For each mesh vertex, find closest point + % TODO this is naive... use Kd-tree? + n = size(mesh_vertices, 1); + m = size(points_vertices, 1); + pairs = zeros(n, 2); + for i = 1 : n + delta = points_vertices - repmat(mesh_vertices(i, :), m, 1); + distances = sum(delta .^ 2, 2); + [~, j] = min(distances); + pairs(i, 1) = i; + pairs(i, 2) = j; + end + + % Filter bad pairs + mesh_normals = normalizerow(mesh_normals); + points_normals = normalizerow(points_normals); + % TODO vectorize this + keep = true(n, 1); + for i = 1 : n + p = pairs(i, 1); + q = pairs(i, 2); + + % Check if distance is too large + distance = norm(mesh_vertices(p, :) - points_vertices(q, :)); + if distance > distance_threshold + keep(i) = false; + end + + % Check if normals differ + cos_angle = mesh_normals(p, :) * points_normals(q, :)'; + if cos_angle < cos_angle_threshold + keep(i) = false; + end + + end + pairs = pairs(keep, :); + +end diff --git a/matlab/registration/compute_displacements.m b/matlab/registration/compute_displacements.m new file mode 100644 index 0000000..569dab3 --- /dev/null +++ b/matlab/registration/compute_displacements.m @@ -0,0 +1,72 @@ +function displacements = compute_displacements(displacements, pairs, mesh_vertices, mesh_neighbors, points_vertices, points_normals, weight_smoothness, weight_closeness) +%COMPUTE_DISPLACEMENTS Compute incremental vertex displacements + + % Define missing parameters + if nargin < 7 + weight_smoothness = 1; + end + if nargin < 8 + weight_closeness = 1e-2; + end + N = size(pairs, 1); + M = size(mesh_vertices, 1); + + % Build distance matrix and right-hand term + I = zeros(1, 3 * N); + J = zeros(1, 3 * N); + V = zeros(1, 3 * N); + b = zeros(N, 1); + for i = 1 : N + j = pairs(i, 1); + p = mesh_vertices(j, :); + q = points_vertices(pairs(i, 2), :); + n = points_normals(pairs(i, 2), :); + + I(3 * i - 2) = i; + J(3 * i - 2) = 3 * j - 2; + V(3 * i - 2) = -n(1); + + I(3 * i - 1) = i; + J(3 * i - 1) = 3 * j - 1; + V(3 * i - 1) = -n(2); + + I(3 * i) = i; + J(3 * i) = 3 * j; + V(3 * i) = -n(3); + + b(i) = n * (q - p)'; + + end + J_distance = sparse(I, J, V, N, 3 * M); + + % Build closeness matrix (identity) + J_closeness = speye(3 * M, 3 * M); + + % Build laplacian smoothing matrix + I = []; + J = []; + V = []; + for i = 1 : N + + % Add coefficient for each neighbor + for j = mesh_neighbors{i} + I = [I, 3 * i - 2, 3 * i - 1, 3 * i]; + J = [J, 3 * j - 2, 3 * j - 1, 3 * j]; + V = [V, 1, 1, 1]; + end + + % Add coefficient for vertex + I = [I, 3 * i - 2, 3 * i - 1, 3 * i]; + J = [J, 3 * i - 2, 3 * i - 1, 3 * i]; + valence = length(mesh_neighbors{i}); + V = [V, -valence, -valence, -valence]; + + end + J_smoothness = sparse(I, J, V, 3 * M, 3 * M); + + % Create and solve linear system + JtJ = (J_distance' * J_distance) + weight_closeness * J_closeness + weight_smoothness * (J_smoothness' * J_smoothness); + Jtb = J_distance' * (J_distance * reshape(displacements', 3 * M, 1) - b); + displacements = reshape(JtJ \ Jtb, M, 3); + +end diff --git a/matlab/registration/compute_transfer_transforms.m b/matlab/registration/compute_transfer_transforms.m new file mode 100644 index 0000000..c8f7c65 --- /dev/null +++ b/matlab/registration/compute_transfer_transforms.m @@ -0,0 +1,75 @@ +function transforms = compute_transfer_transforms(mesh, centers, radii) +%COMPUTE_TRANSFER_TRANSFORMS Compute transform for each bone to fit given spheres + + % Compute local scale factors + mesh.centers = zeros(27, 3); + mesh.radii = zeros(1, 27); + for i = 1 : 27 + mesh.centers(i, :) = mesh.spheres{i}.center; + mesh.radii(i) = mesh.spheres{i}.radius; + end + dfactor = @(i, j) norm(mean(centers(j, :), 2) - mean(centers(i, :), 2)) / norm(mean(mesh.centers(j, :), 2) - mean(mesh.centers(i, :), 2)); + sfactor = @(i) mean(radii(i)) / mean(mesh.radii(i)); + % TODO maybe use smallest radius for scale (or average) + scale = ones(18, 3); + + % Palm + scale(1, 1) = dfactor([26, 27], 22); + scale(1, 2) = 0.7 * dfactor(4, 16) + 0.3 * dfactor(20, 23); % TODO fix this + scale(1, 3) = sfactor([24, 25, 26, 27]); + scale(2, 1) = dfactor(22, 12); + scale(2, 2 : 3) = dfactor(8, 16); + scale(15, 1) = dfactor([8, 23], 4); + scale(15, 2 : 3) = sfactor(8); + + % Thumb + %scale(3, 1) = dfactor(20, 19); % TODO fix this + scale(3, 1) = dfactor(19, 18); + scale(3, 2 : 3) = sfactor(20); + %scale(3, 2 : 3) = sfactor(19); + scale(4, 1) = dfactor(19, 18); + scale(4, 2 : 3) = sfactor(19); + scale(5, 1) = dfactor(18, 17); + scale(5, 2 : 3) = sfactor(18); + + % Index + scale(6, 1) = dfactor(16, 15); + scale(6, 2 : 3) = sfactor(16); + scale(7, 1) = dfactor(15, 14); + scale(7, 2 : 3) = sfactor(15); + scale(8, 1) = dfactor(14, 13); + scale(8, 2 : 3) = sfactor(14); + + % Middle + scale(9, 1) = dfactor(12, 11); + scale(9, 2 : 3) = sfactor(12); + scale(10, 1) = dfactor(11, 10); + scale(10, 2 : 3) = sfactor(11); + scale(11, 1) = dfactor(10, 9); + scale(11, 2 : 3) = sfactor(10); + + % Ring + scale(12, 1) = dfactor(8, 7); + scale(12, 2 : 3) = sfactor(8); + scale(13, 1) = dfactor(7, 6); + scale(13, 2 : 3) = sfactor(7); + scale(14, 1) = dfactor(6, 5); + scale(14, 2 : 3) = sfactor(6); + + % Pinky + scale(16, 1) = dfactor(4, 3); + scale(16, 2 : 3) = sfactor(4); + scale(17, 1) = dfactor(3, 2); + scale(17, 2 : 3) = sfactor(3); + scale(18, 1) = dfactor(2, 1); + scale(18, 2 : 3) = sfactor(2); + + % Compute global transforms + A = compute_bone_axes(mesh.spheres); + B = compute_bone_axes(centers); + transforms = cell(1, 18); + for i = 1 : 18 + transforms{i} = B{i} * diag([scale(i, :), 1]) * inv(A{i}); + end + +end diff --git a/matlab/registration/compute_transformation.m b/matlab/registration/compute_transformation.m new file mode 100644 index 0000000..0c13f84 --- /dev/null +++ b/matlab/registration/compute_transformation.m @@ -0,0 +1,49 @@ +function transform = compute_transformation(mesh_vertices, points_vertices, points_normals, pairs) +%COMPUTE_TRANSFORMATION Compute incremental transformation to match point cloud + + % Check arguments + transform = eye(4); + n = size(pairs, 1); + if n == 0 + return; + end + + % Define derivative rotation matrix (linear approximation for small angles) + Rx = [0, 0, 0; 0, 0, -1; 0, 1, 0]; + Ry = [0, 0, 1; 0, 0, 0; -1, 0, 0]; + Rz = [0, -1, 0; 1, 0, 0; 0, 0, 0]; + + % Build jacobian matrix and right-hand term + J = zeros(n, 7); + b = zeros(n, 1); + for i = 1 : n + p = mesh_vertices(pairs(i, 1), :); + q = points_vertices(pairs(i, 2), :); + n = points_normals(pairs(i, 2), :); + + b(i) = n * (p - q)'; + + J(i, 1) = n * (Rx * p'); + J(i, 2) = n * (Ry * p'); + J(i, 3) = n * (Rz * p'); + J(i, 4 : 6) = n; + J(i, 7) = 2 * n * p'; + + end + + % Create and solve linear system + JtJ = J' * J; + Jtb = J' * b; + result = JtJ \ -Jtb; + + % Extract transform matrix + scale = (result(7) + 1) ^ 2; + rotation = ... + rotation_matrix(result(1), [1, 0, 0]) * ... + rotation_matrix(result(2), [0, 1, 0]) * ... + rotation_matrix(result(3), [0, 0, 1]); + translation = result(4 : 6)'; + transform = [diag(scale) * eye(3), translation'; 0, 0, 0, 1] * rotation; + +end + diff --git a/matlab/registration/constraint_transformation.m b/matlab/registration/constraint_transformation.m new file mode 100644 index 0000000..bffe08c --- /dev/null +++ b/matlab/registration/constraint_transformation.m @@ -0,0 +1,24 @@ +function transform = constraint_transformation(transform, center, slide_axe) +%CONSTRAINT_TRANSFORMATION Constraint transform to fix defined point (some translation can be allowed along an axis) + + % Forbid scaling + scale = (norm(transform(1, 1 : 3)) + norm(transform(2, 1 : 3)) + norm(transform(3, 1 : 3))) / 3; + transform(1 : 3, 1 : 3) = transform(1 : 3, 1 : 3) / scale; + + % Transform fixed point to get desired delta + delta = center - apply_matrix(transform, center); + + % If axis sliding is allowed, adapt delta + if nargin > 2 && norm(slide_axe) > 0.1 + slide_axe = normalizerow(slide_axe); + distance = -delta * slide_axe'; + distance = clamp(distance, 0, 0.05); + delta = delta + slide_axe * distance; + % TODO forbid rotation around axis? + end + + % Patch transformation + transform = [eye(3), delta'; 0, 0, 0, 1] * transform; + +end + diff --git a/matlab/registration/filter_vertices.m b/matlab/registration/filter_vertices.m new file mode 100644 index 0000000..f65e50b --- /dev/null +++ b/matlab/registration/filter_vertices.m @@ -0,0 +1,18 @@ +function [vertices, faces] = filter_vertices(vertices, faces, keep) +%FILTER_VERTICES Keep only specified vertices and discard unused elements + + % Drop unused faces + indices = 1 : size(vertices, 1); + faces = faces(all(ismember(faces, indices(keep)), 2), :); + + % Remap vertices + map = cumsum(keep); + for f = 1 : size(faces, 1) + for i = 1 : 3 + faces(f, i) = map(faces(f, i)); + end + end + vertices = vertices(keep, :); + +end + diff --git a/matlab/registration/initial_guess.m b/matlab/registration/initial_guess.m new file mode 100644 index 0000000..0934d70 --- /dev/null +++ b/matlab/registration/initial_guess.m @@ -0,0 +1,14 @@ +function transform = initial_guess(vertices) +%INITIAL_GUESS Normalize, center and rotate mesh vertices + + % Normalize data using mean and standard deviation + center = mean(vertices); + scale = max(std(vertices)); + transform = [eye(3) / scale, -center' / scale; 0, 0, 0, 1]; + + % Try to find good orientation using PCA + axes = princomp(apply_matrix(transform, vertices)); + transform = [axes', zeros(3, 1); 0, 0, 0, 1] * transform; + +end + diff --git a/matlab/registration/one_ring.m b/matlab/registration/one_ring.m new file mode 100644 index 0000000..9fada30 --- /dev/null +++ b/matlab/registration/one_ring.m @@ -0,0 +1,20 @@ +function neighbors = one_ring(faces, vertex_count) +%ONE_RING Get one-ring neighbors + + if nargin < 2 + vertex_count = max(faces(:)); + end + + neighbors = cell(1, vertex_count); + for f = 1 : size(faces, 1) + face = faces(f, :); + neighbors{face(1)} = [neighbors{face(1)}, face(2), face(3)]; + neighbors{face(2)} = [neighbors{face(2)}, face(1), face(3)]; + neighbors{face(3)} = [neighbors{face(3)}, face(1), face(2)]; + end + for i = 1 : vertex_count + neighbors{i} = setdiff(unique(neighbors{i}), i); + end + +end + diff --git a/matlab/registration/rotation_matrix.m b/matlab/registration/rotation_matrix.m new file mode 100644 index 0000000..e38d0aa --- /dev/null +++ b/matlab/registration/rotation_matrix.m @@ -0,0 +1,28 @@ +function m = rotation_matrix(angle, axis, center) +%ROTATION_MATRIX 3D rotation matrix around axis + + % Fill missing arguments + if nargin < 3 + center = [0, 0, 0]; + end + if nargin < 2 + axis = [0, 0, 1]; + end + + % Translate toward center + t1 = eye(4); + t1(1 : 3, 4) = center'; + + % Rotate around axis + r = eye(4); + r(1 : 3, 1 : 3) = axisangle2matrix(axis, angle); + + % Translate back + t2 = eye(4); + t2(1 : 3, 4) = -center'; + + % Combine + m = t1 * r * t2; + +end + diff --git a/matlab/registration/scale.mat b/matlab/registration/scale.mat new file mode 100644 index 0000000..fb52bd5 Binary files /dev/null and b/matlab/registration/scale.mat differ diff --git a/matlab/registration/skin_linear.m b/matlab/registration/skin_linear.m new file mode 100644 index 0000000..37fe16e --- /dev/null +++ b/matlab/registration/skin_linear.m @@ -0,0 +1,33 @@ +function mesh = skin_linear(mesh, transforms) +%SKIN_LINEAR Deform mesh using linear skinning + + % The normals are computed with the transpose inverse of the transforms + transformsNormals = cell(1, length(transforms)); + for i = 1:length(transforms) + transformsNormals{i} = inv(transforms{i})'; + end + + % Update vertices and normals + for i = 1 : size(mesh.vertices, 1) + t = interpolate(transforms, mesh.weights(i, :)); + mesh.vertices(i, :) = apply_matrix(t, mesh.vertices(i, :)); + t = interpolate(transformsNormals, mesh.weights(i, :)); + mesh.normals(i, :) = apply_matrix(t, mesh.normals(i, :), 0); + end + mesh.normals = normalizerow(mesh.normals); + + % Update spheres + if isfield(mesh, 'spheres') + for i = 1 : length(mesh.spheres) + mesh.spheres{i}.center = apply_matrix(transforms{mesh.spheres{i}.bone}, mesh.spheres{i}.center); + end + end + +end + +function transform = interpolate(transforms, weights) + transform = zeros(4); + for i = 1 : length(transforms) + transform = transform + transforms{i} * weights(i); + end +end diff --git a/matlab/registration/test_registration.m b/matlab/registration/test_registration.m new file mode 100644 index 0000000..a6efbdf --- /dev/null +++ b/matlab/registration/test_registration.m @@ -0,0 +1,275 @@ + +% Register gptoolbox +addpath(genpath('../external')); + +% Load neutral mesh and point cloud +load('../mesh/neutral.mat'); +points = {}; +[points.vertices, points.faces] = load_mesh('anastasia.obj'); +points.normals = per_vertex_normals(points.vertices, points.faces); +transforms = cell(1, 18); +for i = 1 : 18 + transforms{i} = eye(4); +end +axes = compute_bone_axes(mesh.spheres); + +% Compute initial guess using while mesh and cloud +transform = inv(initial_guess(points.vertices)) * initial_guess(mesh.vertices); +faces = mesh.faces; +vertices = apply_matrix(transform, mesh.vertices); +normals = -per_vertex_normals(vertices, faces); +trimesh(faces, vertices(:, 1), vertices(:, 2), vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.4, 0.9, 0.4], 'FaceAlpha', 0.5); +hold on; +trimesh(points.faces, points.vertices(:, 1), points.vertices(:, 2), points.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.5); +quiver3(vertices(:, 1), vertices(:, 2), vertices(:, 3), normals(:, 1), normals(:, 2), normals(:, 3), 'Color', [0.4, 0.9, 0.4]); +quiver3(points.vertices(:, 1), points.vertices(:, 2), points.vertices(:, 3), points.normals(:, 1), points.normals(:, 2), points.normals(:, 3), 'Color', [0.8, 0.8, 0.8]); +hold off; +view([-90, 0]); +camlight; +view([90, 0]); +camlight; +axis equal; +grid off; +lighting gouraud; +axis off; +title('Initial guess'); +pause; + +% Keep only the palm and find rigid transform iteratively +keep = ismember(mesh.assignments, [2, 3, 6, 9, 12, 15, 16]); +[vertices, faces] = filter_vertices(vertices, faces, keep); +normals = normals(keep, :); +pairs = compute_correspondences(vertices, normals, points.vertices, points.normals); +for i = 1 : 20 + delta = compute_transformation(vertices, points.vertices, points.normals, pairs); + transform = delta * transform; + vertices = apply_matrix(delta, vertices); + normals = apply_matrix(delta, normals, 0); + pairs = compute_correspondences(vertices, normals, points.vertices, points.normals); + v = get(gca, 'view'); + trimesh(faces, vertices(:, 1), vertices(:, 2), vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.4, 0.9, 0.4], 'FaceAlpha', 0.1); + hold on; + trimesh(points.faces, points.vertices(:, 1), points.vertices(:, 2), points.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.1); + plot3( ... + [vertices(pairs(:, 1), 1), points.vertices(pairs(:, 2), 1)]', ... + [vertices(pairs(:, 1), 2), points.vertices(pairs(:, 2), 2)]', ... + [vertices(pairs(:, 1), 3), points.vertices(pairs(:, 2), 3)]', ... + 'Color', 'red'); + hold off; + view([-90, 0]); + camlight; + view([90, 0]); + camlight; + axis equal; + grid off; + lighting gouraud; + axis off; + title(['After ', num2str(i), ' rigid transformation']); + set(gca, 'view', v); + pause(0.01); +end +transforms{2} = transform; +% TODO improve proto-phalange? +transforms{15} = transform; +%pause; + +% Fit finger roots +bones = [6, 9, 12, 16]; +for f = 1 : 4 + transform = transforms{2}; + keep = mesh.assignments == bones(f); + [vertices, faces] = filter_vertices(mesh.vertices, mesh.faces, keep); + normals = mesh.normals(keep, :); + vertices = apply_matrix(transform, vertices); + normals = apply_matrix(transform, normals, 0); + pairs = compute_correspondences(vertices, normals, points.vertices, points.normals, 0.1, 0.2); + for i = 1 : 10 + delta = compute_transformation(vertices, points.vertices, points.normals, pairs); + delta = constraint_transformation(delta, apply_matrix(transforms{2}, mesh.bones{bones(f)}.center)); + transform = delta * transform; + vertices = apply_matrix(delta, vertices); + normals = apply_matrix(delta, normals, 0); + pairs = compute_correspondences(vertices, normals, points.vertices, points.normals, 0.3, 0.3); + v = get(gca, 'view'); + trimesh(faces, vertices(:, 1), vertices(:, 2), vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.4, 0.9, 0.4], 'FaceAlpha', 0.1); + hold on; + trimesh(points.faces, points.vertices(:, 1), points.vertices(:, 2), points.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.1); + plot3( ... + [vertices(pairs(:, 1), 1), points.vertices(pairs(:, 2), 1)]', ... + [vertices(pairs(:, 1), 2), points.vertices(pairs(:, 2), 2)]', ... + [vertices(pairs(:, 1), 3), points.vertices(pairs(:, 2), 3)]', ... + 'Color', 'red'); + hold off; + view([-90, 0]); + camlight; + view([90, 0]); + camlight; + axis equal; + grid off; + lighting gouraud; + axis off; + title(['After ', num2str(i), ' rigid transformation']); + set(gca, 'view', v); + pause(0.01); + end + transforms{bones(f)} = transform; + %pause; +end + +% Improve palm origin +% transform = transforms{2}; +% keep = ismember(mesh.assignments, [2, 3, 15]); +% [vertices, faces] = filter_vertices(mesh.vertices, mesh.faces, keep); +% normals = mesh.normals(keep, :); +% vertices = apply_matrix(transform, vertices); +% normals = apply_matrix(transform, normals, 0); +% pairs = compute_correspondences(vertices, normals, points.vertices, points.normals); +% for i = 1 : 10 +% delta = compute_transformation(vertices, points.vertices, points.normals, pairs); +% %delta = constraint_transformation(delta); +% transform = delta * transform; +% vertices = apply_matrix(delta, vertices); +% normals = apply_matrix(delta, normals, 0); +% pairs = compute_correspondences(vertices, normals, points.vertices, points.normals); +% v = get(gca, 'view'); +% trimesh(faces, vertices(:, 1), vertices(:, 2), vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.4, 0.9, 0.4], 'FaceAlpha', 0.1); +% hold on; +% trimesh(points.faces, points.vertices(:, 1), points.vertices(:, 2), points.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.1); +% plot3( ... +% [vertices(pairs(:, 1), 1), points.vertices(pairs(:, 2), 1)]', ... +% [vertices(pairs(:, 1), 2), points.vertices(pairs(:, 2), 2)]', ... +% [vertices(pairs(:, 1), 3), points.vertices(pairs(:, 2), 3)]', ... +% 'Color', 'red'); +% hold off; +% view([-90, 0]); +% camlight; +% view([90, 0]); +% camlight; +% axis equal; +% grid off; +% lighting gouraud; +% axis off; +% title(['After ', num2str(i), ' rigid transformation']); +% set(gca, 'view', v); +% pause(0.01); +% end +% transforms{2} = transform; +% % TODO improve proto-phalange? +% transforms{15} = transform; +% pause; + +% Estimate wrist rotation +transform = transforms{2}; +keep = mesh.assignments == 1; +[vertices, faces] = filter_vertices(mesh.vertices, mesh.faces, keep); +normals = mesh.normals(keep, :); +vertices = apply_matrix(transform, vertices); +normals = apply_matrix(transform, normals, 0); +pairs = compute_correspondences(vertices, normals, points.vertices, points.normals, 0.1, 0.2); +for i = 1 : 10 + delta = compute_transformation(vertices, points.vertices, points.normals, pairs); + delta = constraint_transformation(delta, apply_matrix(transforms{2}, mesh.bones{2}.center)); + transform = delta * transform; + vertices = apply_matrix(delta, vertices); + normals = apply_matrix(delta, normals, 0); + pairs = compute_correspondences(vertices, normals, points.vertices, points.normals, 0.3, 0.3); + v = get(gca, 'view'); + trimesh(faces, vertices(:, 1), vertices(:, 2), vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.4, 0.9, 0.4], 'FaceAlpha', 0.1); + hold on; + trimesh(points.faces, points.vertices(:, 1), points.vertices(:, 2), points.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.1); + plot3( ... + [vertices(pairs(:, 1), 1), points.vertices(pairs(:, 2), 1)]', ... + [vertices(pairs(:, 1), 2), points.vertices(pairs(:, 2), 2)]', ... + [vertices(pairs(:, 1), 3), points.vertices(pairs(:, 2), 3)]', ... + 'Color', 'red'); + hold off; + view([-90, 0]); + camlight; + view([90, 0]); + camlight; + axis equal; + grid off; + lighting gouraud; + axis off; + title(['After ', num2str(i), ' rigid transformation']); + set(gca, 'view', v); + pause(0.01); +end +transforms{1} = transform; +%pause; + +% Fit thumb root +transform = transforms{2}; +keep = ismember(mesh.assignments, [3, 4, 5]); +[vertices, faces] = filter_vertices(mesh.vertices, mesh.faces, keep); +normals = mesh.normals(keep, :); +vertices = apply_matrix(transform, vertices); +normals = apply_matrix(transform, normals, 0); +pairs = compute_correspondences(vertices, normals, points.vertices, points.normals, 0.1, 0.2); +for i = 1 : 10 + delta = compute_transformation(vertices, points.vertices, points.normals, pairs); + delta = constraint_transformation(delta, apply_matrix(transforms{2}, mesh.bones{3}.center), apply_matrix(transforms{2}, axes{2}(1 : 3, 2)', 0)); + transform = delta * transform; + vertices = apply_matrix(delta, vertices); + normals = apply_matrix(delta, normals, 0); + pairs = compute_correspondences(vertices, normals, points.vertices, points.normals, 0.3, 0.3); + v = get(gca, 'view'); + trimesh(faces, vertices(:, 1), vertices(:, 2), vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.4, 0.9, 0.4], 'FaceAlpha', 0.1); + hold on; + trimesh(points.faces, points.vertices(:, 1), points.vertices(:, 2), points.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.1); + plot3( ... + [vertices(pairs(:, 1), 1), points.vertices(pairs(:, 2), 1)]', ... + [vertices(pairs(:, 1), 2), points.vertices(pairs(:, 2), 2)]', ... + [vertices(pairs(:, 1), 3), points.vertices(pairs(:, 2), 3)]', ... + 'Color', 'red'); + hold off; + view([-90, 0]); + camlight; + view([90, 0]); + camlight; + axis equal; + grid off; + lighting gouraud; + axis off; + title(['After ', num2str(i), ' rigid transformation']); + set(gca, 'view', v); + pause(0.01); +end +transforms{3} = transform; +transforms{4} = transform; +%pause; + +% Use delineation to estime finger lengths and pose +bones = [6, 9, 12, 16]; +for f = bones + +end + +% TODO recompute skeleton + +% Show registered bones +colors = hsv(18); +trimesh(points.faces, points.vertices(:, 1), points.vertices(:, 2), points.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.1); +hold on; +for i = 1 : 18 + if transforms{i}(1, 1) == 1 + continue; + end + keep = mesh.assignments == i; + [vertices, faces] = filter_vertices(mesh.vertices, mesh.faces, keep); + normals = mesh.normals(keep, :); + vertices = apply_matrix(transforms{i}, vertices); + normals = apply_matrix(transforms{i}, normals, 0); + trimesh(faces, vertices(:, 1), vertices(:, 2), vertices(:, 3), 'EdgeColor', colors(i, :), 'FaceColor', 'none'); +end +hold off; +view([-90, 0]); +camlight; +view([90, 0]); +camlight; +axis equal; +grid off; +lighting gouraud; +axis off; +title(['After ', num2str(i), ' rigid transformation']); +set(gca, 'view', v); diff --git a/matlab/registration/test_spheres.m b/matlab/registration/test_spheres.m new file mode 100644 index 0000000..c7bb97a --- /dev/null +++ b/matlab/registration/test_spheres.m @@ -0,0 +1,161 @@ + +% Register gptoolbox +addpath(genpath('../external')); + +% Load cleaned mesh and point cloud +cleaned = {}; +[cleaned.vertices, cleaned.faces] = load_mesh('anastasia_clean.obj'); +points = {}; +[points.vertices, points.faces] = load_mesh('anastasia_cloud.obj'); +points.normals = per_vertex_normals(points.vertices, points.faces); + +% Estimate pose +% transform = inv(initial_guess(points.vertices)) * [-0.5,0,0,-1;0,0.5,0,0;0,0,0.5,0;0,0,0,1] * initial_guess(cleaned.vertices); +% cleaned.vertices = apply_matrix(transform, cleaned.vertices); +% cleaned.normals = per_vertex_normals(cleaned.vertices, cleaned.faces); +% trimesh(cleaned.faces, cleaned.vertices(:, 1), cleaned.vertices(:, 2), cleaned.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.4, 0.9, 0.4], 'FaceAlpha', 0.5); +% hold on; +% trimesh(points.faces, points.vertices(:, 1), points.vertices(:, 2), points.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.5); +% quiver3(cleaned.vertices(:, 1), cleaned.vertices(:, 2), cleaned.vertices(:, 3), cleaned.normals(:, 1), cleaned.normals(:, 2), cleaned.normals(:, 3), 'Color', [0.4, 0.9, 0.4]); +% quiver3(points.vertices(:, 1), points.vertices(:, 2), points.vertices(:, 3), points.normals(:, 1), points.normals(:, 2), points.normals(:, 3), 'Color', [0.8, 0.8, 0.8]); +% hold off; +% view([-90, 0]); +% camlight; +% view([90, 0]); +% camlight; +% axis equal; +% grid off; +% lighting gouraud; +% axis off; +% title('Initial guess'); +% pause; + +% Find rigid transform iteratively +% pairs = compute_correspondences(cleaned.vertices, cleaned.normals, points.vertices, points.normals); +% for i = 1 : 10 +% delta = compute_transformation(cleaned.vertices, points.vertices, points.normals, pairs); +% transform = delta * transform; +% cleaned.vertices = apply_matrix(delta, cleaned.vertices); +% cleaned.normals = apply_matrix(delta, cleaned.normals, 0); +% pairs = compute_correspondences(cleaned.vertices, cleaned.normals, points.vertices, points.normals); +% v = get(gca, 'view'); +% trimesh(cleaned.faces, cleaned.vertices(:, 1), cleaned.vertices(:, 2), cleaned.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.4, 0.9, 0.4], 'FaceAlpha', 0.1); +% hold on; +% trimesh(points.faces, points.vertices(:, 1), points.vertices(:, 2), points.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.1); +% plot3( ... +% [cleaned.vertices(pairs(:, 1), 1), points.vertices(pairs(:, 2), 1)]', ... +% [cleaned.vertices(pairs(:, 1), 2), points.vertices(pairs(:, 2), 2)]', ... +% [cleaned.vertices(pairs(:, 1), 3), points.vertices(pairs(:, 2), 3)]', ... +% 'Color', 'red'); +% hold off; +% view([-90, 0]); +% camlight; +% view([90, 0]); +% camlight; +% axis equal; +% grid off; +% lighting gouraud; +% axis off; +% title(['After ', num2str(i), ' rigid transformation']); +% set(gca, 'view', v); +% pause; +% end +transform = [ ... + 0.1607 -0.2572 0.0193 -0.8139; ... + 0.2539 0.1538 -0.0650 -0.4930; ... + 0.0453 0.0505 0.2962 7.2152; ... + 0 0 0 1.0000]; + +% Load and transform sphere locations +load('anastasia_clean.mat'); +% Note: spheres do NOT have the same topology as before... +% 1 to 20 do not change +% 21 -> 25 +% 22 -> 26 +% 23 -> 28 +% 24 -> 30 +% 25 -> 29 +% 26 -> 31 +% 27 -> 32 +map = [1 : 20, 25, 26, 28, 30, 29, 31, 32]; +centers = centers(map, :); +radii = radii(map); +centers = apply_matrix(transform, centers); +radii = radii * norm(transform(1 : 3, 1)); + +% Flip everything, since neutral mesh is right-handed +axe = princomp(points.vertices); +normal = axe(2, :); +reflect = eye(3) - 2 * (normal' * normal); +points.vertices = apply_matrix(reflect, points.vertices); +points.normals = apply_matrix(reflect, points.normals, 0); +centers = apply_matrix(reflect, centers); + +% Show spheres +v = get(gca, 'view'); +trimesh(points.faces, points.vertices(:, 1), points.vertices(:, 2), points.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.5); +hold on; +for i = 1 : length(radii) + [X, Y, Z] = sphere; + X = X * radii(i) + centers(i, 1); + Y = Y * radii(i) + centers(i, 2); + Z = Z * radii(i) + centers(i, 3); + surf(X, Y, Z, 'FaceColor', [0.2, 0.8, 0.8], 'EdgeColor', 'none', 'FaceAlpha', 0.5); + text(centers(i, 1), centers(i, 2), centers(i, 3), num2str(i), 'Color', [0, 0, 0], 'FontSize', 16, 'FontWeight', 'bold', 'HorizontalAlignment', 'center'); +end +hold off; +view([-90, 0]); +camlight; +view([90, 0]); +camlight; +axis equal; +grid off; +lighting gouraud; +axis off; +set(gca, 'view', v); +pause; + +% Show bones +v = get(gca, 'view'); +colors = hsv(18); +axes = compute_bone_axes(centers); +trimesh(points.faces, points.vertices(:, 1), points.vertices(:, 2), points.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.5); +hold on; +for i = 1 : 18 + [X, Y, Z] = sphere; + X = X * 0.05 + axes{i}(1, 4); + Y = Y * 0.05 + axes{i}(2, 4); + Z = Z * 0.05 + axes{i}(3, 4); + surf(X, Y, Z, 'EdgeColor', 'none', 'FaceColor', colors(i, :), 'FaceAlpha', 0.5); + quiver3(repmat(axes{i}(1, 4), 1, 3), repmat(axes{i}(2, 4), 1, 3), repmat(axes{i}(3, 4), 1, 3), 0.25 * axes{i}(1, 1 : 3), 0.25 * axes{i}(2, 1 : 3), 0.25 * axes{i}(3, 1 : 3), 'Color', colors(i, :), 'LineWidth', 2); + text(axes{i}(1, 4), axes{i}(2, 4), axes{i}(3, 4), num2str(i), 'Color', [0, 0, 0], 'FontSize', 16, 'FontWeight', 'bold', 'HorizontalAlignment', 'center'); +end +hold off; +view([-90, 0]); +camlight; +view([90, 0]); +camlight; +axis equal; +grid off; +lighting gouraud; +axis off; +set(gca, 'view', v); +pause; + +% Use linear skinning to approximate point cloud +load('../final/neutral.mat'); +transforms = compute_transfer_transforms(mesh, centers, radii); +mesh = skin_linear(mesh, transforms); +%mesh.vertices = apply_matrix(transforms{3}, mesh.vertices); +trimesh(mesh.faces, mesh.vertices(:, 1), mesh.vertices(:, 2), mesh.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.4, 0.9, 0.4], 'FaceAlpha', 0.5); +hold on; +trimesh(points.faces, points.vertices(:, 1), points.vertices(:, 2), points.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.5); +hold off; +view([-90, 0]); +camlight; +view([90, 0]); +camlight; +axis equal; +grid off; +lighting gouraud; +axis off; diff --git a/matlab/registration/test_spheres_manual.m b/matlab/registration/test_spheres_manual.m new file mode 100644 index 0000000..1e12ba8 --- /dev/null +++ b/matlab/registration/test_spheres_manual.m @@ -0,0 +1,124 @@ + +% http://ch.mathworks.com/help/matlab/ref/uicontrol.html +% http://ch.mathworks.com/matlabcentral/answers/60745-set-x-y-z-data-in-trimesh-without-re-plotting + +function test_spheres_manual() + + % Load data + mesh = load('../mesh/neutral.mat'); + mesh = mesh.mesh; + points = load('anastasia_fixed.mat'); + + % Precompute guesses + mesh.centers = zeros(27, 3); + mesh.radii = zeros(1, 27); + for i = 1 : 27 + mesh.centers(i, :) = mesh.spheres{i}.center; + mesh.radii(i) = mesh.spheres{i}.radius; + end + dfactor = @(i, j) norm(mean(points.centers(j, :), 2) - mean(points.centers(i, :), 2)) / norm(mean(mesh.centers(j, :), 2) - mean(mesh.centers(i, :), 2)); + scale = ones(18, 1); + scale(1) = dfactor([26, 27], 22); + scale(2) = dfactor(22, 12); + scale(15) = dfactor([8, 23], 4); + scale(3) = dfactor(19, 18); + scale(4) = dfactor(19, 18); + scale(5) = dfactor(18, 17); + scale(6) = dfactor(16, 15); + scale(7) = dfactor(15, 14); + scale(8) = dfactor(14, 13); + scale(9) = dfactor(12, 11); + scale(10) = dfactor(11, 10); + scale(11) = dfactor(10, 9); + scale(12) = dfactor(8, 7); + scale(13) = dfactor(7, 6); + scale(14) = dfactor(6, 5); + scale(16) = dfactor(4, 3); + scale(17) = dfactor(3, 2); + scale(18) = dfactor(2, 1); + % TODO clamp excessive values + scale = [scale scale scale]; + guess = mean(scale(:)); + scale = scale / guess; + scale = clamp(scale, 0.25, 4); + A = compute_bone_axes(mesh.spheres); + B = compute_bone_axes(points.centers); + transforms = cell(1, 18); + for i = 1 : 18 + transforms{i} = B{i} * diag([guess * scale(i, :), 1]) * inv(A{i}); + end + + % Hide figure until ready + f = figure('Visible', 'off'); + + % Show mesh + modified = skin_linear(mesh, transforms); + trimesh(points.faces, points.vertices(:, 1), points.vertices(:, 2), points.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.5); + hold on; + h = trimesh(modified.faces, modified.vertices(:, 1), modified.vertices(:, 2), modified.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.4, 0.9, 0.4], 'FaceAlpha', 0.5); + hold off; + view([-90, 0]); + camlight; + view([90, 0]); + camlight; + axis equal; + grid off; + lighting gouraud; + axis off; + + % Add controls + for i = 1 : 18 + for j = 1 : 3 + uicontrol('Style', 'slider', 'Min', 0.25, 'Max', 4, 'Value', scale(i, j), 'Position', [j * 60 - 40, 25 * (19 - i) + 25, 50, 20], 'Callback', @update, 'Tag', num2str((i - 1) * 3 + j)); + end + end + uicontrol('Style', 'pushbutton', 'String', 'Save', 'Position', [20 20 50 20], 'Callback', @save_scale); + uicontrol('Style', 'pushbutton', 'String', 'Load', 'Position', [90 20 50 20], 'Callback', @load_scale); + + % Show figure + set(f, 'Visible', 'on') + + % Sliders callback + function update(source, callbackdata) + + % Update transform + modifier = get(source, 'Value'); + tag = str2num(get(source, 'Tag')); + axe = mod(tag - 1, 3) + 1; + bone = (tag - axe) / 3 + 1; + scale(bone, axe) = modifier; + transforms{bone} = B{bone} * diag([guess * scale(bone, :), 1]) * inv(A{bone}); + + % Update mesh + M = skin_linear(mesh, transforms); + hold on; + delete(h); + h = trimesh(M.faces, M.vertices(:, 1), M.vertices(:, 2), M.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.4, 0.9, 0.4], 'FaceAlpha', 0.5); + lighting gouraud; + hold off; + + end + + % Save scale + function save_scale(source, callbackdata) + save('scale.mat', 'scale'); + end + + % Load scale + function load_scale(source, callbackdata) + scale = load('scale.mat'); + scale = scale.scale; + for i = 1 : 18 + transforms{i} = B{i} * diag([guess * scale(i, :), 1]) * inv(A{i}); + end + M = skin_linear(mesh, transforms); + hold on; + delete(h); + h = trimesh(M.faces, M.vertices(:, 1), M.vertices(:, 2), M.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.4, 0.9, 0.4], 'FaceAlpha', 0.5); + lighting gouraud; + hold off; + end + +end + + diff --git a/matlab/sdf_blend.m b/matlab/sdf_blend.m new file mode 100644 index 0000000..8a269a7 --- /dev/null +++ b/matlab/sdf_blend.m @@ -0,0 +1,54 @@ +function g = sdf_blend(f1, f2, theta) +%SDF_BLEND Compute blend as described in Implicit Skinning +% +% Inputs +% f1: n by 1 double +% f2: n by 1 double +% f3: n by 1 double or double +% +% Outputs +% g: n by 1 double +% + + % Vectorize code + g = zeros(size(f1)); + theta = abs(theta); + t = tan(theta); + if length(f1) ~= length(t) + theta = repmat(theta, length(f1), 1); + t = repmat(t, length(f1), 1); + end + + % Pure union outside trapezoidal region + union = ... + theta >= pi / 4 | ... + f2 <= f1 .* t | ... + f1 <= f2 .* t | ... + f2 <= 0.5 * (7 - 5 * t) .* f1 + 7 / 4 * (t - 1) | ... + f1 <= 0.5 * (7 - 5 * t) .* f2 + 7 / 4 * (t - 1); + g(union) = max(f1(union), f2(union)); + + % Solve quadratic equation inside special region + g(~union) = curve(f1(~union), f2(~union), t(~union)); + +end + +function g = curve(f1, f2, t) + + % Compute coefficients according to area + upper = (f1 - 0.5 * t) .^ 2 + (f2 - 0.5 * t) .^ 2 > (0.5 - 0.5 * t) .^ 2 & (f1 > t * 0.5 | f2 > t * 0.5); + a = zeros(size(f1)); + b = -t; + a(upper) = -7 / 4 * (t(upper) - 1); + b(upper) = -0.5 * (7 - 5 * t(upper)); + + % Solve quadratic equation + u = b .* b - 2 * b - 1; + v = 2 * b .* (f1 + f2 + a) - 2 * a; + w = (f1 + a) .* (f1 + a) + (f2 + a) .* (f2 + a) - a .* a; + singular = abs(u) < 0.0001; + g = zeros(size(f1)); + g(singular) = -w(singular) ./ v(singular); + g(~singular) = (-v(~singular) - sqrt(v(~singular) .* v(~singular) - 4 * u(~singular) .* w(~singular))) ./ (2 * u(~singular)); + +end diff --git a/matlab/sdf_blend_theta_curve.m b/matlab/sdf_blend_theta_curve.m new file mode 100644 index 0000000..d4d4902 --- /dev/null +++ b/matlab/sdf_blend_theta_curve.m @@ -0,0 +1,52 @@ +function theta = sdf_blend_theta_curve(alpha, alpha0, alpha1, alpha2, theta0, theta1, theta2, omega0, omega1) +%SDF_BLEND_THETA_CURVE Map alpha to theta as described in Implicit Skinning +% +% Inputs +% alpha: n by 1 double +% alpha0: double +% alpha1: double +% alpha2: double +% theta0: double +% theta1: double +% theta2: double +% omega0: double +% omega1: double (default omega0) +% +% Outputs +% theta: n by 1 double +% + + % Fill missing arguments + if nargin == 2 + alpha1 = alpha0.alpha1; + alpha2 = alpha0.alpha2; + theta0 = alpha0.theta0; + theta1 = alpha0.theta1; + theta2 = alpha0.theta2; + omega0 = alpha0.omega0; + omega1 = alpha0.omega1; + alpha0 = alpha0.alpha0; + elseif nargin < 9 + omega1 = omega0; + end + + % Split input + a = alpha <= alpha0; + b = alpha > alpha0 & alpha <= alpha1; + c = alpha > alpha1 & alpha < alpha2; + d = alpha >= alpha2; + + % Piecewise interpolation + theta = zeros(size(alpha)); + theta(a) = theta0; + theta(b) = kappa((alpha(b) - alpha1) / (alpha0 - alpha1)) .^ omega0 * (theta0 - theta1) + theta1; + theta(c) = kappa((alpha(c) - alpha1) / (alpha2 - alpha1)) .^ omega1 * (theta2 - theta1) + theta1; + theta(d) = theta2; + +end + +function y = kappa(x) + x = max(min(x, 1), 0); + x(x == 0) = 0; % Negative zeros are evil!!! + y = 1 - exp(1 - 1 ./ (1 - exp(1 - 1 ./ x))); +end diff --git a/matlab/sdf_clean_union.m b/matlab/sdf_clean_union.m new file mode 100644 index 0000000..c953d6c --- /dev/null +++ b/matlab/sdf_clean_union.m @@ -0,0 +1,49 @@ +function g = sdf_clean_union(f1, f2) +%SDF_CLEAN_UNION Compute smooth union of given locally supported functions +% +% Inputs +% f1: n by 1 double +% f2: n by 1 double +% +% Outputs +% g: n by 1 double +% + + % Dummy vectorization + if length(f1) ~= 1 + g = arrayfun(@sdf_clean_union, f1, f2); + return; + end + + % Clean union introduced by Pasko and al. for global support + % g = f1 + f2 - sqrt(f1 .* f1 + f2 .* f2); + + % Eq. 9 in A Gradient-Implicit Blend paper by Gourmel and al. + if (f1 <= 0.5 && (f1 <= 2 * f2 * f2 || f2 <= 2 * f1 * f1)) || ... + (f1 >= 0.5 && (f1 >= 2 * f2 * f2 || f2 >= 2 * f1 * f1)) + g = max(f1, f2); + else + % HACK since fzero might not converge otherwise + % TODO inaccurate in some corner cases + seed = max(f1, f2); + g = fzero(@(C) h(f1, f2, C) - 1, seed); + if g > 1 + g = 1; + end + end + +end + +% Eq. 10 in A Gradient-Implicit Blend paper +function y = h(f1, f2, C) + if f1 <= 0.5 + a = f1 - 2 * C * C; + b = f2 - 2 * C * C; + c = C - 2 * C * C; + else + a = f1 - sqrt(C / 2); + b = f2 - sqrt(C / 2); + c = C - sqrt(C / 2); + end + y = sqrt(a * a + b * b) / c; +end diff --git a/matlab/sdf_field.m b/matlab/sdf_field.m new file mode 100644 index 0000000..0bb6df6 --- /dev/null +++ b/matlab/sdf_field.m @@ -0,0 +1,181 @@ +function [field, gradients] = sdf_field(mesh, use_spheres, threshold, transforms) +%SDF_FIELD Compute the isovalues and the gradients at the vertices positions +% +% Inputs +% mesh: complete mesh +% use_sphere: logical, Specify whether to use spheres or hrbf +% reparam_threshold: double +% Optional: +% transforms: m by 1 array of 4 by 4 double, Unused when using spheres, Set to identity if not provided +% +% Outputs +% field: n by 1 double +% gradients: n by 3 double +% + + % Select SDF function + if use_spheres + sdf_func = @(bone, vertices) sphere_apply(mesh.spheres, mesh.bones{bone}.blocks, vertices); + else + % If the transforms are not provided, set them to the identity + if nargin < 4 + transforms = cellfun(@double, repmat({eye(4)}, 1, length(mesh.bones)), 'Un', 0); + end + sdf_func = @hrbf_field; + end + + function [dist, grad] = hrbf_field(bone, vertices) + % Compute the hrbf distance and gradients in the reference frame of the rest pose + vertices_transformed = matrix_apply(inv(transforms{bone}), vertices); + [dist, grad] = hrbf_apply(mesh.bones{bone}.hrbf.centers, mesh.bones{bone}.hrbf.coefficients, vertices_transformed); + % Change the reference frame of the gradients back + grad = matrix_apply(transforms{bone}, grad, 0); + end + + if ~isfield(mesh.implicit, 'alpha_to_theta') + % If alpha to theta parameters are not provided, set them to default values + mesh.implicit.alpha_to_theta.alpha0 = pi / 8; + mesh.implicit.alpha_to_theta.alpha1 = pi / 2; + mesh.implicit.alpha_to_theta.alpha2 = pi / 2; + mesh.implicit.alpha_to_theta.theta0 = pi / 4; + mesh.implicit.alpha_to_theta.theta1 = pi / 10; + mesh.implicit.alpha_to_theta.theta2 = pi / 10; + mesh.implicit.alpha_to_theta.omega0 = 0.5; + mesh.implicit.alpha_to_theta.omega1 = 1; + end + + % For each bone, compute the signed distance function at the points + sdf = cell(length(mesh.bones), 1); + for child = 1 : length(mesh.bones) + parent = mesh.bones{child}.parent; + distances = zeros(size(mesh.vertices, 1), 4); + + % Project the vertices of the child and its parent onto this bone + non_zero_child = mesh.weights(:, child) ~= 0; + if parent ~= 0 + non_zero_parent = mesh.weights(:, parent) ~= 0; + else + non_zero_parent = false(size(mesh.vertices, 1), 1); + end + non_zero_both = non_zero_child | non_zero_parent; + + [dist, grad] = sdf_func(child, mesh.vertices(non_zero_both, :)); + + % Reparametrize the distances to have a local support in [0, 1] and normalize the gradients + distances(non_zero_both, :) = [sdf_reparam(dist, threshold), normalizerow(grad)]; + sdf{child} = distances; + + if parent ~= 0 + % Project the vertices of the child onto the parent + [dist, grad] = sdf_func(parent, mesh.vertices(non_zero_child, :)); + sdf{parent}(non_zero_child, :) = [sdf_reparam(dist, threshold), normalizerow(grad)]; + end + end + + % For each vertex, we compute the blending between pairs of bones, then take the union (max) + [field, gradients] = blend(mesh, sdf, sdf_func, threshold); + + if nargout > 1 && any(any(isnan(gradients))) + % If the reparametrization threshold is too small, then some vertices have a distance of 0 and + % the gradients are undefined. + error('Found gradients with value of NaN. Maybe you should retry with a higher threshold value.'); + end + +end + +function [fields, gradients] = blend(mesh, sdf, sdf_func, threshold) + + % Vectorize code + fields = zeros(size(mesh.vertices, 1), 1); + gradients = zeros(size(mesh.vertices, 1), 3); + f = fields; + g = gradients; + + % For each bone (except root) + for child = 1 : length(mesh.bones) + parent = mesh.bones{child}.parent; + if parent == 0 + continue; + end + + % For each non-zero weighted vertex + non_zero_child = mesh.weights(:, child) ~= 0; + non_zero_parent = mesh.weights(:, parent) ~= 0; + non_zero_both = non_zero_child | non_zero_parent; + + if strcmp(mesh.bones{child}.blend, 'union') + [f(non_zero_both), g(non_zero_both, :)] = union_op( ... + sdf{child}(non_zero_both, 1), ... + sdf{child}(non_zero_both, 2 : 4), ... + sdf{parent}(non_zero_both, 1), ... + sdf{parent}(non_zero_both, 2 : 4) ... + ); + else +% [f_union, g_union] = union_op( ... +% sdf{child}(non_zero_both, 1), ... +% sdf{child}(non_zero_both, 2 : 4), ... +% sdf{parent}(non_zero_both, 1), ... +% sdf{parent}(non_zero_both, 2 : 4) ... +% ); + [f_blend, g_blend] = blend_op( ... + sdf{child}(non_zero_both, 1), ... + sdf{child}(non_zero_both, 2 : 4), ... + sdf{parent}(non_zero_both, 1), ... + sdf{parent}(non_zero_both, 2 : 4), ... + child, parent, mesh.vertices(non_zero_both, :), sdf_func, threshold, mesh.implicit.alpha_to_theta); + + % Using the blend weights produces nice, smooth fields, but the other parameters have almost no effects +% f(non_zero_both, :) = ... +% (1 - mesh.implicit.blend_weight(non_zero_both, :)) .* f_union ... +% + mesh.implicit.blend_weight(non_zero_both, :) .* f_blend; +% g(non_zero_both, :) = slerp(g_union, g_blend, mesh.implicit.blend_weight(non_zero_both, :)); + f(non_zero_both, :) = f_blend; + g(non_zero_both, :) = g_blend; + + end + + % Merge with current result + [fields, gradients] = union_op(fields, gradients, f, g); + + end + +end + +function [f, g] = union_op(f1, g1, f2, g2) + f = f1; + g = g1; + k = f2 > f1; + f(k) = f2(k); + g(k, :) = g2(k, :); +end + +function [f, g] = blend_op(f1, g1, f2, g2, b1, b2, v, sdf_func, threshold, alpha_to_theta) + + % Compute distances + alpha = acos(dot(g1, g2, 2)); + + % Tweaked Vaillant Contact (It has a shape like figure 7a) + theta = sdf_blend_theta_curve(alpha, alpha_to_theta); + f = sdf_blend(f1, f2, theta); + + % Get close neighbors to compute numerical derivatives + neighbors = kron(v, ones(6, 1)) + repmat([ ... + -1, 0, 0; ... + 1, 0, 0; ... + 0, -1, 0; ... + 0, 1, 0; ... + 0, 0, -1; ... + 0, 0, 1 ... + ] * 1e-5, length(f1), 1); + + % Compute neighbors distances + % NOTE: we assume same theta for all neighbors + d1 = sdf_reparam(sdf_func(b1, neighbors), threshold); + d2 = sdf_reparam(sdf_func(b2, neighbors), threshold); + blended = sdf_blend(d1, d2, kron(theta, ones(6, 1))); + + % Compute numerical gradients + g = reshape(blended, 6, length(f1))' * [1, 0, 0; -1, 0, 0; 0, 1, 0; 0, -1, 0; 0, 0, 1; 0, 0, -1]; + g = normalizerow(g); + +end diff --git a/matlab/sdf_reparam.m b/matlab/sdf_reparam.m new file mode 100644 index 0000000..73db293 --- /dev/null +++ b/matlab/sdf_reparam.m @@ -0,0 +1,24 @@ +function distance = sdf_reparam(distance, threshold) +%SDF_REPARAM Reparametrize 0-based distance value to 0.5-based SDF, as explained in the paper Implicit Skinning +% +% Inputs +% distance: n by 1 double +% threshold: double +% +% Outputs +% distance: n by 1 double +% + + lowerThan = distance < -threshold; + higherThan = distance > threshold; + inRange = not(lowerThan | higherThan); + + distance(lowerThan) = 1; + distance(higherThan) = 0; + + distance(inRange) = distance(inRange) / threshold; + distance(inRange) = -3 / 16 * distance(inRange) .^ 5 ... + + 5 / 8 * distance(inRange) .^ 3 ... + - 15 / 16 * distance(inRange) + 0.5; + +end diff --git a/matlab/sdf_union.m b/matlab/sdf_union.m new file mode 100644 index 0000000..6c8a26d --- /dev/null +++ b/matlab/sdf_union.m @@ -0,0 +1,15 @@ +function g = sdf_union(f1, f2) +%SDF_UNION Compute union of given locally supported functions +% +% Inputs +% f1: n by 1 double +% f2: n by 1 double +% +% Outputs +% g: n by 1 double +% + + % Ricci's operator is the maximum + g = max(f1, f2); + +end diff --git a/matlab/skin_dualquat.m b/matlab/skin_dualquat.m new file mode 100644 index 0000000..38a0a2b --- /dev/null +++ b/matlab/skin_dualquat.m @@ -0,0 +1,97 @@ +function mesh = skin_dualquat(mesh, transforms) +%SKIN_DUALQUAT Deform mesh using dual quaternion skinning +% +% Inputs +% mesh: complete mesh +% transforms: m by 1 array of 4 by 4 double +% +% Outputs +% mesh: complete mesh +% + + % Initialize + bones_count = length(transforms); + Q = zeros(bones_count, 4); + T = zeros(bones_count, 3); + + % For the formulas on how to convert a rotation matrix to a quaternion, see: + % http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToQuaternion/ + % Additionally, it is more robust to compare the traces: + % http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToQuaternion/ethan.htm + % The rotation part of a transformation t should have det(t) = 1 and be orthogonal: t' = inv(t). + for i = 1 : bones_count + rotation = transforms{i}(1 : 3, 1 : 3); + translation = transforms{i}(1 : 3, 4); + + trace1 = trace(rotation); + trace2 = rotation(1, 1) - rotation(2, 2) - rotation(3, 3); + trace3 = rotation(2, 2) - rotation(1, 1) - rotation(3, 3); + trace4 = rotation(3, 3) - rotation(1, 1) - rotation(2, 2); + + [~, index] = max([trace1, trace2, trace3, trace4]); + switch index + case 1 + S = 2 * sqrt(1 + trace1); + qr = 0.25 * S; + qi = (rotation(3, 2) - rotation(2, 3)) / S; + qj = (rotation(1, 3) - rotation(3, 1)) / S; + qk = (rotation(2, 1) - rotation(1, 2)) / S; + case 2 + S = 2 * sqrt(1 + trace2); + qr = (rotation(3, 2) - rotation(2, 3)) / S; + qi = 0.25 * S; + qj = (rotation(1, 2) + rotation(2, 1)) / S; + qk = (rotation(1, 3) + rotation(3, 1)) / S; + case 3 + S = 2 * sqrt(1 + trace3); + qr = (rotation(1, 3) - rotation(3, 1)) / S; + qi = (rotation(1, 2) + rotation(2, 1)) / S; + qj = 0.25 * S; + qk = (rotation(2, 3) + rotation(3, 2)) / S; + case 4 + S = 2 * sqrt(1 + trace4); + qr = (rotation(2, 1) - rotation(1, 2)) / S; + qi = (rotation(1, 3) + rotation(3, 1)) / S; + qj = (rotation(2, 3) + rotation(3, 2)) / S; + qk = 0.25 * S; + end + quat = [qr, qi, qj, qk]; + + parent = mesh.bones{i}.parent; + % If the dot product between this quaternion and the one of the parent is negative, change the sign of this quaternion + if parent ~= 0 + % TODO: Is it safe to assume that parent < i? If not, we need to re-order/do multiple pass + if parent > i + error('Unhandled topology: The root should be computed before the leaves'); + end + if dot(Q(parent, :), quat) < 0 + quat = -quat; + end + end + + Q(i, :) = quat; + T(i, :) = translation'; + end + + DQ = quattrans2udq(Q, T); + + % The normals can be computed by evaluating only the non-dual part of the dual quaternion, see here for more: + % http://dev.theomader.com/dual-quaternion-skinning/ + DQ_normals = DQ; + for i = 1:bones_count + % Get rid of the dual part + DQ_normals(2, :, i) = zeros(1, 1, 4); + end + + % Update spheres: As the spheres are only attached to one bone, dual quat is equivalent to linear. + % So, we can just apply directly the linear transform matrices. + if isfield(mesh, 'spheres') + for i = 1 : length(mesh.spheres) + mesh.spheres{i}.center = matrix_apply(transforms{mesh.spheres{i}.bone}, mesh.spheres{i}.center); + end + end + + mesh.vertices = dualquatlbs(mesh.vertices, DQ, mesh.weights); + mesh.normals = dualquatlbs(mesh.normals, DQ_normals, mesh.weights); + +end diff --git a/matlab/skin_implicit.m b/matlab/skin_implicit.m new file mode 100644 index 0000000..2f75112 --- /dev/null +++ b/matlab/skin_implicit.m @@ -0,0 +1,184 @@ +function mesh = skin_implicit(mesh, transforms, reparam_threshold, varargin) +%SKIN_IMPLICIT Deform mesh using implicit skinning +% +% Inputs +% mesh: complete mesh +% transforms: m by 1 array of 4 by 4 double +% reparam_threshold: double +% Optional: +% 'linear' or 'dualquat': Specify whether to use linear blend skinning or dual quaternion skinning. Default: 'dualquat' +% 'spheres' or 'hrbf': Specify whether to use spheres or hrbf as the signed distance functions. Default: 'hrbf' +% +% Outputs +% mesh: complete mesh +% + + % Parse arguments + use_linear = any(strcmp('linear', varargin)); + use_spheres = any(strcmp('spheres', varargin)); + varargin = varargin(cell2mat(cellfun(@(s) all(~strcmp(s, {'linear', 'dualquat', 'spheres', 'hrbf'})), varargin, 'UniformOutput', false))); + for i = 1 : length(varargin) + warning(['Unrecognized option ', varargin{i}]); + end + + % Compute distances at rest + implicit.iso_values_at_rest = sdf_field(mesh, use_spheres, reparam_threshold); + + % Initial guess using standard skinning + if use_linear + mesh = skin_linear(mesh, transforms); + else + mesh = skin_dualquat(mesh, transforms); + end + + implicit.has_converged = zeros(size(mesh.vertices, 1), 1); + implicit.beta = zeros(size(mesh.vertices, 1), 1); + [implicit.iso_values, implicit.gradients] = sdf_field(mesh, use_spheres, reparam_threshold, transforms); + + % Perform the first iteration of surface tracking + [mesh, implicit] = vertex_projection(mesh, implicit); + mesh = tangential_relaxation(mesh, implicit); + + mesh2 = mesh; + max_iterations = 100; + iterations = 0; + + while ~all(implicit.has_converged) && iterations < max_iterations + + % Compute the new iso-values and gradients for the vertices that have not converged + implicit.prev_gradients = implicit.gradients; + mesh2.vertices = mesh.vertices(~implicit.has_converged, :); + mesh2.weights = mesh.weights(~implicit.has_converged, :); + [implicit.iso_values(~implicit.has_converged), implicit.gradients(~implicit.has_converged, :)] = ... + sdf_field(mesh2, use_spheres, reparam_threshold, transforms); + + % Perform the surface tracking + [mesh, implicit] = vertex_projection(mesh, implicit); + mesh = tangential_relaxation(mesh, implicit); + iterations = iterations + 1; + end + if iterations == max_iterations + disp(['[implicit] Surface tracking stopped after reaching maximum number of iterations: ', num2str(max_iterations)]); + end + + % Apply laplacian smoothing at the end to avoid sharp edges on the contact regions + mesh = laplacian_smoothing(mesh, implicit); +end + +function [mesh, implicit] = vertex_projection(mesh, implicit) +%VERTEX_PROJECTION Check the convergence of vertices and deform the mesh by doing one iteration of projection +% +% Inputs +% mesh: complete mesh +% implicit: additional data used by implicit +% +% Outputs +% mesh: complete mesh +% implicit: additional data used by implicit with updated informations about vertex convergence +% + + sigma = 0.35; + convergence_threshold = 1e-2; + + not_converged = ~implicit.has_converged; + % Gradient change test: check if the direction of the gradient has changed by more than 55 degrees + if isfield(implicit, 'prev_gradients') + angle_between_gradients = acos(dot(implicit.gradients(not_converged, :), implicit.prev_gradients(not_converged, :), 2)); + angle_exceed_threshold = (angle_between_gradients > 55 * pi / 180); + + implicit.has_converged(not_converged) = angle_exceed_threshold; + implicit.beta(not_converged) = angle_exceed_threshold; + end + + not_converged = ~implicit.has_converged; + % Convergence test: check if the vertex has reached its initial iso-value + absolute_difference = abs(implicit.iso_values(not_converged) - implicit.iso_values_at_rest(not_converged)); + implicit.has_converged(not_converged) = (absolute_difference <= convergence_threshold); + + not_converged = ~implicit.has_converged; + % Move the vertices along the gradients + mesh.vertices(not_converged, :) = mesh.vertices(not_converged, :) + sigma .* ... + repmat(implicit.iso_values(not_converged) - implicit.iso_values_at_rest(not_converged), [1, 3]) .* implicit.gradients(not_converged, :); +end + +function mesh = tangential_relaxation(mesh, implicit) +%TANGENTIAL_RELAXATION Deform the mesh by doing one iteration of tangential relaxation +% +% Inputs +% mesh: complete mesh +% implicit: additional data used by implicit +% +% Outputs +% mesh: complete mesh +% + + filter = ~implicit.has_converged & ~mesh.implicit.is_on_side; + + vertices_filtered = mesh.vertices(filter, :); + gradients_filtered = implicit.gradients(filter, :); + + [row, col] = find(mesh.implicit.adj_mat(:, filter)); + + % Create matrices than contain replicates of the vertices and gradients (if a vertex v has x neighbours, then v will appear x times) + vertices = vertices_filtered(col, :); + gradients = gradients_filtered(col, :); + + % Get all the neighbours + neighbours = mesh.vertices(row, :); + neighbours_projected = project_onto_plane(vertices, gradients, neighbours); + + % Weight each neighbour with its mvc coefficient + neighbours_weighted = repmat(nonzeros(mesh.implicit.mvc(:, filter)), [1, 3]) .* neighbours_projected; + + % Sum along the rows, for each vertex + % accumarray only accepts vectors... So, we pass each column one by one + centroids(:, 1) = accumarray(col, neighbours_weighted(:, 1)); + centroids(:, 2) = accumarray(col, neighbours_weighted(:, 2)); + centroids(:, 3) = accumarray(col, neighbours_weighted(:, 3)); + + % Transform the vertices + mu = max(zeros(size(centroids, 1), 1), 1 - (abs(implicit.iso_values(filter) - implicit.iso_values_at_rest(filter)) - 1) .^ 4); + mesh.vertices(filter, :) = repmat((1 - mu), [1, 3]) .* vertices_filtered + repmat(mu, [1, 3]) .* centroids; +end + +function vertices = project_onto_plane(points, normals, vertices) +%PROJECT_ONTO_PLANE Project the vertices onto the planes specified by the points and the normals +% +% Inputs +% points: n by 3 double +% normals: n by 3 double +% vertices: n by 3 double +% +% Outputs +% vertices: n by 3 double +% + + vertices = vertices - repmat(dot(vertices - points, normals, 2), [1, 3]) .* normals; +end + +function mesh = laplacian_smoothing(mesh, implicit) +%LAPLACIAN_SMOOTHING Deform the mesh by applying laplacian smoothing on the surfaces detected as contact regions +% +% Inputs +% mesh: complete mesh +% implicit: additional data used by implicit +% +% Outputs +% mesh: complete mesh +% + + [row, col] = find(mesh.implicit.adj_mat); + degrees = sum(mesh.implicit.adj_mat, 2); + % Diffusion of Beta + for j = 1 : 3 + beta_neighbours = implicit.beta(row, :); + implicit.beta = (implicit.beta + accumarray(col, beta_neighbours)) ./ (degrees + 1); + end + + neighbours = mesh.vertices(row, :); + centroids(:, 1) = accumarray(col, neighbours(:, 1)) ./ degrees; + centroids(:, 2) = accumarray(col, neighbours(:, 2)) ./ degrees; + centroids(:, 3) = accumarray(col, neighbours(:, 3)) ./ degrees; + + mesh.vertices = repmat(1 - implicit.beta, [1, 3]) .* mesh.vertices + repmat(implicit.beta, [1, 3]) .* centroids; +end diff --git a/matlab/skin_linear.m b/matlab/skin_linear.m new file mode 100644 index 0000000..1480735 --- /dev/null +++ b/matlab/skin_linear.m @@ -0,0 +1,41 @@ +function mesh = skin_linear(mesh, transforms) +%SKIN_LINEAR Deform mesh using linear skinning +% +% Inputs +% mesh: complete mesh +% transforms: m by 1 array of 4 by 4 double +% +% Outputs +% mesh: complete mesh +% + + % The normals are computed with the transpose inverse of the transforms + transformsNormals = cell(1, length(transforms)); + for i = 1:length(transforms) + transformsNormals{i} = inv(transforms{i})'; + end + + % Update vertices and normals + for i = 1 : size(mesh.vertices, 1) + t = interpolate(transforms, mesh.weights(i, :)); + mesh.vertices(i, :) = matrix_apply(t, mesh.vertices(i, :)); + t = interpolate(transformsNormals, mesh.weights(i, :)); + mesh.normals(i, :) = matrix_apply(t, mesh.normals(i, :), 0); + end + mesh.normals = normalizerow(mesh.normals); + + % Update spheres + if isfield(mesh, 'spheres') + for i = 1 : length(mesh.spheres) + mesh.spheres{i}.center = matrix_apply(transforms{mesh.spheres{i}.bone}, mesh.spheres{i}.center); + end + end + +end + +function transform = interpolate(transforms, weights) + transform = zeros(4); + for i = 1 : length(transforms) + transform = transform + transforms{i} * weights(i); + end +end diff --git a/matlab/sphere_apply.m b/matlab/sphere_apply.m new file mode 100644 index 0000000..fb02648 --- /dev/null +++ b/matlab/sphere_apply.m @@ -0,0 +1,48 @@ +function [d, g] = sphere_apply(spheres, chunks, p) +%SPHERE_APPLY Compute sphere distance for specified points +% +% Inputs +% spheres: array of sphere +% chunks: array of integer matrix +% p: n by 3 double +% +% Outputs +% d: n by 1 double +% g: n by 3 double +% + + % Vectorize code + n = size(p, 1); + d = inf(n, 1); + g = zeros(n, 3); + + % For each sphere chunk + for i = 1 : length(chunks) + + % Call appropriate function + switch length(chunks{i}) + case 1 + s = spheres{chunks{i}(1)}; + [di, gi] = sphere_single(s.center, s.radius, p); + case 2 + s1 = spheres{chunks{i}(1)}; + s2 = spheres{chunks{i}(2)}; + [di, gi] = sphere_double(s1.center, s1.radius, s2.center, s2.radius, p); + case 3 + s1 = spheres{chunks{i}(1)}; + s2 = spheres{chunks{i}(2)}; + s3 = spheres{chunks{i}(3)}; + [di, gi] = sphere_triple(s1.center, s1.radius, s2.center, s2.radius, s3.center, s3.radius, p); + otherwise + warning('invalid chunk'); + di = inf(n, 1); + gi = zeros(n, 3); + end + + % Keep minimal distance + better = di < d; + d(better) = di(better); + g(better, :) = gi(better, :); + end + +end diff --git a/matlab/sphere_double.m b/matlab/sphere_double.m new file mode 100644 index 0000000..3949ec5 --- /dev/null +++ b/matlab/sphere_double.m @@ -0,0 +1,73 @@ +function [d, g] = sphere_double(c1, r1, c2, r2, p) +%SPHERE_DOUBLE Compute distance and gradient of double sphere SDF +% +% Inputs +% c1: 1 by 3 double +% r1: double +% c2: 1 by 3 double +% r2: double +% p: n by 3 double +% +% Outputs +% d: n by 1 double +% g: n by 3 double +% + + % First sphere cannot be smaller + if r1 < r2 + [d, g] = sphere_double(c2, r2, c1, r1, p); + return; + end + + % Get main axe + x = c2 - c1; + x_n = norm(x); + x = x / x_n; + + % Second sphere cannot completely be inside the first one + if x_n <= r1 - r2 + [d, g] = sphere_single(c1, r1, p); + return; + end + + % Vectorize code + n = size(p, 1); + d = zeros(n, 1); + g = zeros(n, 3); + + % Project point on axe + c1p = p - repmat(c1, n, 1); + q = (c1p * x') * x + repmat(c1, n, 1); + + % Get main normal + y = p - q; + y_n = sqrt(sum(y .* y, 2)); + y_n(abs(y_n) < 0.00001) = 1; + y = y ./ repmat(y_n, 1, 3); + + % Compute slope + e = (r1 - r2) ^ 2 / x_n; + f = sqrt((x_n - e) * e); + s = f / (x_n - e); + + % Compute tangential axes + u = normalizerow(repmat(x, n, 1) - s * y); + v = normalizerow(y + s * repmat(x, n, 1)); + + % Project points on tangent + alpha = dot(u, c1p, 2) / sqrt(x_n * x_n - (r1 - r2) ^ 2); + + % First sphere + first = alpha <= 0; + [d(first), g(first, :)] = sphere_single(c1, r1, p(first, :)); + + % Second sphere + second = alpha >= 1; + [d(second), g(second, :)] = sphere_single(c2, r2, p(second, :)); + + % In between + between = ~second & ~first; + d(between) = dot(c1p(between, :), v(between, :), 2) - r1; + g(between, :) = v(between, :); + +end diff --git a/matlab/sphere_single.m b/matlab/sphere_single.m new file mode 100644 index 0000000..48b0f60 --- /dev/null +++ b/matlab/sphere_single.m @@ -0,0 +1,21 @@ +function [d, g] = sphere_single(c, r, p) +%SPHERE_SINGLE Compute distance and gradient of single sphere SDF +% +% Inputs +% c: 1 by 3 double +% r: double +% p: n by 3 double +% +% Outputs +% d: n by 1 double +% g: n by 3 double +% + + n = size(p, 1); + delta = p - repmat(c, n, 1); + norm = sqrt(sum(delta .* delta, 2)); + d = norm - r; + g = delta ./ repmat(norm, 1, 3); + +end + diff --git a/matlab/sphere_triple.m b/matlab/sphere_triple.m new file mode 100644 index 0000000..fe1b4be --- /dev/null +++ b/matlab/sphere_triple.m @@ -0,0 +1,88 @@ +function [d, g] = sphere_triple(c1, r1, c2, r2, c3, r3, p) +%SPHERE_TRIPLE Compute distance and gradient of triple sphere SDF +% +% Inputs +% c1: 1 by 3 double +% r1: double +% c2: 1 by 3 double +% r2: double +% c3: 1 by 3 double +% r3: double +% p: n by 3 double +% +% Outputs +% d: n by 1 double +% g: n by 3 double +% + + % TODO check that trisphere is not degenerated (i.e. this is a bisphere) + + % Compute tangent plane + z12 = c1 + (c2 - c1) * r1 / (r1 - r2); + z13 = c1 + (c3 - c1) * r1 / (r1 - r3); + l = normalizerow(z12 - z13); + z = z12 + ((c1 - z12) * l') * l; + eta = norm(c1 - z); + sin_beta = r1 / eta; + nu = sqrt(eta ^ 2 - r1 ^ 2); + cos_beta = nu / eta; + f = (c1 - z) / eta; + h = normalizerow(cross(l, f)); + k = -sin_beta * h + cos_beta * f; + tn = normalizerow(z + nu * k - c1); + t1 = c1 + tn * r1; + t2 = c2 + tn * r2; + t3 = c3 + tn * r3; + + % Compute central plane normal + cn = normalizerow(cross(c2 - c1, c3 - c1)); + if cn * tn' < 0 + [d, g] = sphere_triple(c2, r2, c3, r3, c1, r1, p); + return; + end + + % Compute segment normals + s12 = t2 - t1; + s23 = t3 - t2; + s31 = t1 - t3; + n12 = cross(s12, tn); + n23 = cross(s23, tn); + n31 = cross(s31, tn); + + % Vectorize code + n = size(p, 1); + d = zeros(n, 1); + g = zeros(n, 3); + + % Mirror points that are on wrong side + m = (p - repmat(c1, n, 1)) * cn'; + mirror = m < 0; + p(mirror, :) = p(mirror, :) - 2 * m(mirror, 1) * cn; + + % Compute delta for each corner + d1 = p - repmat(t1, n, 1); + d2 = p - repmat(t2, n, 1); + d3 = p - repmat(t3, n, 1); + + % First segment + first = d1 * n12' > 0 & ~(d2 * s23' > 0 & d2 * n23' > 0) & ~(d1 * s31' < 0 & d1 * n31' > 0); + [d(first), g(first, :)] = sphere_double(c1, r1, c2, r2, p(first, :)); + + % Second segment + second = ~first & (d2 * n23' > 0) & ~(d3 * s31' > 0 & d3 * n31' > 0); + [d(second), g(second, :)] = sphere_double(c2, r2, c3, r3, p(second, :)); + + % Third segment + third = ~first & ~second & (d3 * n31' > 0); + [d(third), g(third, :)] = sphere_double(c3, r3, c1, r1, p(third, :)); + + % In between + between = ~first & ~second & ~third; + b = sum(between); + d(between) = (p(between, :) - repmat(t1, b, 1)) * tn'; + g(between, :) = repmat(tn, b, 1); + + % Mirror again if needed + g(mirror, :) = g(mirror, :) - 2 * (g(mirror, :) * cn') * cn; + +end diff --git a/matlab/test_2d_skinning.m b/matlab/test_2d_skinning.m new file mode 100644 index 0000000..66e411b --- /dev/null +++ b/matlab/test_2d_skinning.m @@ -0,0 +1,175 @@ + +% Load geometry +load('mesh/finger.mat'); +c1 = [finger.bones{1}.center', 0]; +r1 = finger.bones{1}.radius; +w1 = finger.W(:, 1); +c2 = [finger.bones{2}.center', 0]; +r2 = finger.bones{2}.radius; +w2 = finger.W(:, 2); +c3 = [finger.bones{3}.center', 0]; +r3 = finger.bones{3}.radius; +w3 = finger.W(:, 3); +v = [finger.x, finger.y, zeros(size(finger.x))]; +N = length(finger.x); + +% Configure mapping to have pure union at rest and maximal blend at 45° +map = @(alpha) sdf_blend_theta_curve(alpha, 0.1, pi / 4, pi / 2, pi / 4, 0, pi / 32, 1); +plot(linspace(0, pi), map(linspace(0, pi))); +pause; + +% Approximate mesh using two bispheres +f1 = @(p) sdf_reparam(sphere_double(c1, r1, c2, r2, p), 1); +f2 = @(p) sdf_reparam(sphere_double(c2, r2, c3, r3, p), 1); +f = @(p) sdf_blend(f1(p), f2(p), map(0)); + +% Compute field and vertex offsets at rest +off = f(v); + +% Compute barycentric coordinates (in 2D, this is easy, only 2 neighbours) +bar = zeros(N, 1); +for i = 2 : N-1 + p = v(i, :) - v(i + 1, :); + d = v(i - 1, :) - v(i + 1, :); + bar(i) = sum(p .* d) / (d * d'); +end + +% Simulate skinning for various angles +for alpha = [pi / 8, pi / 4, pi / 2, 3 * pi / 4] + theta = map(alpha); + + % Reset geometry + c1 = [finger.bones{1}.center', 0]; + c2 = [finger.bones{2}.center', 0]; + c3 = [finger.bones{3}.center' 0]; + v = [finger.x, finger.y, zeros(size(finger.x))]; + + % Compute transform matrices + m1 = eye(4); + m2 = eye(4) * m1; + m3 = matrix_rotation(-alpha, [0, 0, 1], c2) * m2; + + % Compute bone locations + c1 = matrix_apply(m1, c1); + c2 = matrix_apply(m2, c2); + c3 = matrix_apply(m3, c3); + + % Compute initial guess using linear skinning (should use quaternion, though) + for i = 1 : size(v, 1); + m = m1 * w1(i) + m2 * w2(i) + m3 * w3(i); + v(i, :) = matrix_apply(m, v(i, :)); + end + + % Recompute field + f1 = @(p) sdf_reparam(sphere_double(c1, r1, c2, r2, p), 1); + f2 = @(p) sdf_reparam(sphere_double(c2, r2, c3, r3, p), 1); + f = @(p) sdf_blend(f1(p), f2(p), map(0)); + + % Show result + [X, Y] = meshgrid(linspace(-5, 5), linspace(-5, 5)); + Z = zeros(size(X)); + Z = reshape(f([X(:), Y(:), Z(:)]), size(X)); + contourf(X, Y, Z, 12); + hold on; + plot(v(:, 1), v(:, 2), 'r'); + hold off; + axis square; + title(['\alpha = ', num2str(alpha), ': initial guess']); + pause; + + % Numerical derivative + df = @(p) [ ... + f([p(1) + 0.01, p(2), 0]) - f([p(1) - 0.01, p(2), 0]), ... + f([p(1), p(2) + 0.01, 0]) - f([p(1), p(2) - 0.01, 0]) ... + ] / 0.02; + + % Prepare self-intersection heuristic + beta = zeros(N, 1); + angle = zeros(N, 1); + for i = 1 : N + d = df(v(i, :)); + angle(i) = atan2(d(2), d(1)); + end + + % Move vertices + for n = 1 : 10 + + % Tangential relaxation + if n > 1 + delta = zeros(N, 3); + for i = 2 : N - 1 + if beta(i) == 0 + p = v(i, :) - v(i + 1, :); + d = v(i - 1, :) - v(i + 1, :); + b = sum(p .* d) / (d * d'); + mu = max(0, 1 - (abs(f(v(i, :)) - off(i)) - 1) ^ 4); + delta(i, :) = mu * d * (bar(i) - b); + end + end + v = v + delta; + + % Show result + [X, Y] = meshgrid(linspace(-5, 5), linspace(-5, 5)); + Z = zeros(size(X)); + Z = reshape(f([X(:), Y(:), Z(:)]), size(X)); + contourf(X, Y, Z, 12); + hold on; + plot(v(:, 1), v(:, 2), 'r'); + hold off; + axis square; + title(['\alpha = ', num2str(alpha), ': tangential relaxation #', num2str(n - 1)]); + pause(0.1); + end + + % Vertex projection + sigma = 0.35; + for i = 1 : N + if beta(i) == 0 + d = [df(v(i, :)), 0]; + a = atan2(d(2), d(1)); + if mod(abs(a - angle(i)), 2 * pi) > 55 * pi / 180 + beta(i) = 1; + else + v(i, :) = v(i, :) - sigma * (f(v(i, :)) - off(i)) * d / sqrt(d * d'); + angle(i) = a; + end + end + end + + % Show result + [X, Y] = meshgrid(linspace(-5, 5), linspace(-5, 5)); + Z = zeros(size(X)); + Z = reshape(f([X(:), Y(:), Z(:)]), size(X)); + contourf(X, Y, Z, 12); + hold on; + plot(v(:, 1), v(:, 2), 'r'); + hold off; + axis square; + title(['\alpha = ', num2str(alpha), ': vertex projection #', num2str(n)]); + pause(0.1); + + end + + % Laplacian smoothing + for i = 1 : 3 + beta = min(conv([0.1, 0.2, 1.0, 0.2, 0.1], beta), 1); + beta = beta(3 : N+2); + end + centroid = [zeros(1, 3); [v(1 : N - 2, :); zeros(2, 3)] + [zeros(2, 3); v(3 : N, :)]; zeros(1, 3)] * 0.5; + for i = 2 : N - 1 + v(i, :) = (1 - beta(i)) * v(i, :) + beta(i) * centroid(i, :); + end + + % Show result + [X, Y] = meshgrid(linspace(-5, 5), linspace(-5, 5)); + Z = zeros(size(X)); + Z = reshape(f([X(:), Y(:), Z(:)]), size(X)); + contourf(X, Y, Z, 12); + hold on; + plot(v(:, 1), v(:, 2), 'r'); + hold off; + axis square; + title(['\alpha = ', num2str(alpha), ': laplacian smoothing']); + pause; + +end diff --git a/matlab/test_bulge.m b/matlab/test_bulge.m new file mode 100644 index 0000000..8410839 --- /dev/null +++ b/matlab/test_bulge.m @@ -0,0 +1,109 @@ + +% Load mesh +c1 = [-2.5, 0.5, 0]; +r1 = 0.8; +c2 = [0, 0.6, 0]; +r2 = 0.6; +c3 = [1.8, -1, 0]; +r3 = 0.5; +c1c2 = c2 - c1; +c2c3 = c3 - c2; +alpha = acos(sum(c1c2 .* c2c3) / (norm(c1c2) * norm(c2c3))); +n12 = cross([0, 0, 1], c2 - c1); +n23 = cross([0, 0, 1], c3 - c2); + +% Configure mapping to have pure union at rest and maximal blend at 45° +map = @(alpha) sdf_blend_theta_curve(alpha, 0.1, pi / 4, pi / 2, pi / 4, 0, pi / 32, 1); +plot(linspace(0, pi), map(linspace(0, pi))); +pause; + +% Reference line, using pure union +f1 = @(p) sdf_reparam(sphere_double(c1, r1, c2, r2, p), 3); +f2 = @(p) sdf_reparam(sphere_double(c2, r2, c3, r3, p), 3); +f = @(p) sdf_union(f1(p), f2(p)); +xs = linspace(0, 1); +ys = linspace(0, 1); +[X, Y] = meshgrid(xs, ys); +Z = zeros(size(X)); +Z = f([X(:) * 10 - 5.5, Y(:) * 10 - 5, Z(:)]); +Z = reshape(Z, size(X)); +contourf(X, Y, Z, 16); +hold on; +C = contourc(xs, ys, Z, [0.5, 0.5]); +C = C(1 : 2, 2 : C(2, 1) + 1); +plot(C(1, :), C(2, :), 'r', 'LineWidth', 2); +hold off; +axis square; +pause; + +% Constant theta, based on bone angle +theta = map(alpha); +for threshold = 1:5 + f1 = @(p) sdf_reparam(sphere_double(c1, r1, c2, r2, p), threshold); + f2 = @(p) sdf_reparam(sphere_double(c2, r2, c3, r3, p), threshold); + f = @(p) sdf_blend(f1(p), f2(p), theta); + xs = linspace(0, 1); + ys = linspace(0, 1); + [X, Y] = meshgrid(xs, ys); + Z = zeros(size(X)); + Z = f([X(:) * 10 - 5.5, Y(:) * 10 - 5, Z(:)]); + Z = reshape(Z, size(X)); + contourf(X, Y, Z, 16); + hold on; + C = contourc(xs, ys, Z, [0.5, 0.5]); + C = C(1 : 2, 2 : C(2, 1) + 1); + plot(C(1, :), C(2, :), 'r', 'LineWidth', 2); + hold off; + axis square; + pause; +end + +% Constant theta, based on bone angle, using blend weights +theta = map(alpha); +for threshold = 1:5 + w = @(p) 1 - ((p - repmat(c1, size(p, 1), 1)) * n12' > 0 | (p - repmat(c2, size(p, 1), 1)) * n23' > 0); + f1 = @(p) sdf_reparam(sphere_double(c1, r1, c2, r2, p), threshold); + f2 = @(p) sdf_reparam(sphere_double(c2, r2, c3, r3, p), threshold); + f = @(p) w(p) .* sdf_blend(f1(p), f2(p), theta) + (1 - w(p)) .* sdf_union(f1(p), f2(p)); + xs = linspace(0, 1); + ys = linspace(0, 1); + [X, Y] = meshgrid(xs, ys); + Z = zeros(size(X)); + Z = f([X(:) * 10 - 5.5, Y(:) * 10 - 5, Z(:)]); + Z = reshape(Z, size(X)); + contourf(X, Y, Z, 16); + hold on; + C = contourc(xs, ys, Z, [0.5, 0.5]); + C = C(1 : 2, 2 : C(2, 1) + 1); + plot(C(1, :), C(2, :), 'r', 'LineWidth', 2); + hold off; + axis square; + pause; +end + +% Theta depends on angle between gradients +for threshold = 1:5 + xs = linspace(0, 1); + ys = linspace(0, 1); + [X, Y] = meshgrid(xs, ys); + Z = zeros(size(X)); + P = [X(:) * 10 - 5.5, Y(:) * 10 - 5, Z(:)]; + [F1, G1] = sphere_double(c1, r1, c2, r2, P); + [F2, G2] = sphere_double(c2, r2, c3, r3, P); + F1 = sdf_reparam(F1, threshold); + F2 = sdf_reparam(F2, threshold); + G1 = -normalizerow(G1); + G2 = -normalizerow(G2); + A = acos(dot(G1, G2, 2)); + T = map(A); + Z = sdf_blend(F1, F2, T); + Z = reshape(Z, size(X)); + contourf(X, Y, Z, 16); + hold on; + C = contourc(xs, ys, Z, [0.5, 0.5]); + C = C(1 : 2, 2 : C(2, 1) + 1); + plot(C(1, :), C(2, :), 'r', 'LineWidth', 2); + hold off; + axis square; + pause; +end diff --git a/matlab/test_compare_params.m b/matlab/test_compare_params.m new file mode 100644 index 0000000..7e9452a --- /dev/null +++ b/matlab/test_compare_params.m @@ -0,0 +1,95 @@ +function test_compare_params() + + % Register gptoolbox + addpath(genpath('external')); + + % Load mesh + mesh = load('mesh/neutral.mat'); + mesh = mesh_densify(mesh.mesh); +% mesh.implicit.blend_weight(mesh.implicit.blend_weight > 0.01) = 1; +% mesh.implicit.blend_weight = mesh.implicit.blend_weight .* 2; +% mesh.implicit.blend_weight = ones(size(mesh.vertices, 1), 1); + reparam_threshold = 2; + + transforms = cellfun(@double, repmat({eye(4)}, 1, length(mesh.bones)), 'Un', 0); + transforms{7} = matrix_rotation(pi / 3, [0, 0, 1], mesh.bones{7}.center); + transforms{8} = transforms{7} * matrix_rotation(pi / 2, [0, 0, 1], mesh.bones{8}.center); + + filter = mesh.weights(:, 6) > 0.5 | mesh.weights(:, 7) ~= 0 | mesh.weights(:, 8) ~= 0; + + % Prepare components + f = figure('Visible', 'off'); + sliders = cell(1, 8); + values = [pi / 8, pi / 2, 1.1 * pi / 2, pi / 4, pi / 10, pi / 4, 0.5, 0.5]; + for i = 1 : 3 + sliders{i} = uicontrol( ... + 'Style', 'slider', ... + 'Min', 0, 'Max', pi, 'Value', values(i), ... + 'Position', [20, 25 * (9 - i), 100, 20], ... + 'Callback', @update ... + ); + end + for i = 4 : 6 + sliders{i} = uicontrol( ... + 'Style', 'slider', ... + 'Min', 0, 'Max', pi / 4, 'Value', values(i), ... + 'Position', [20, 25 * (9 - i), 100, 20], ... + 'Callback', @update ... + ); + end + for i = 7 : 8 + sliders{i} = uicontrol( ... + 'Style', 'slider', ... + 'Min', 0.1, 'Max', 10, 'Value', values(i), ... + 'Position', [20, 25 * (9 - i), 100, 20], ... + 'Callback', @update ... + ); + end + + % Render mesh + implicit = skin_implicit(mesh, transforms, reparam_threshold, 'hrbf'); + [V, F] = mesh_filter_vertices(implicit.vertices, implicit.faces, filter); +% h = trimesh(F, V(:, 1), V(:, 2), V(:, 3), 'EdgeColor', [0.4, 0.25, 0.0], 'EdgeAlpha', 0.2, 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0); + h = trimesh(F, V(:, 1), V(:, 2), V(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0, 'SpecularStrength', 0.4); + l1 = [0, 30]; l2 = [180, 30]; vp = [90, 90]; + view(l1); camlight; + view(l2); camlight; + lighting gouraud; + view(vp); + axis equal; + grid off; + axis off; + + % Show figure + set(f, 'Visible', 'on') + + % Update callback + function update(varargin) + mesh.implicit.alpha_to_theta.alpha0 = get(sliders{1}, 'Value'); + mesh.implicit.alpha_to_theta.alpha1 = get(sliders{2}, 'Value'); + mesh.implicit.alpha_to_theta.alpha2 = get(sliders{3}, 'Value'); + mesh.implicit.alpha_to_theta.theta0 = get(sliders{4}, 'Value'); + mesh.implicit.alpha_to_theta.theta1 = get(sliders{5}, 'Value'); + mesh.implicit.alpha_to_theta.theta2 = get(sliders{6}, 'Value'); + mesh.implicit.alpha_to_theta.omega0 = get(sliders{7}, 'Value'); + mesh.implicit.alpha_to_theta.omega1 = get(sliders{8}, 'Value'); + disp([mesh.implicit.alpha_to_theta.alpha0, ... + mesh.implicit.alpha_to_theta.alpha1, ... + mesh.implicit.alpha_to_theta.alpha2, ... + mesh.implicit.alpha_to_theta.theta0, ... + mesh.implicit.alpha_to_theta.theta1, ... + mesh.implicit.alpha_to_theta.theta2, ... + mesh.implicit.alpha_to_theta.omega0, ... + mesh.implicit.alpha_to_theta.omega1]); + implicit = skin_implicit(mesh, transforms, reparam_threshold, 'hrbf'); + hold on; + delete(h); + [V, F] = mesh_filter_vertices(implicit.vertices, implicit.faces, filter); +% h = trimesh(F, V(:, 1), V(:, 2), V(:, 3), 'EdgeColor', [0.4, 0.25, 0.0], 'EdgeAlpha', 0.2, 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0); + h = trimesh(F, V(:, 1), V(:, 2), V(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0, 'SpecularStrength', 0.4); + lighting gouraud; + hold off; + end + +end + diff --git a/matlab/test_compare_skinning.m b/matlab/test_compare_skinning.m new file mode 100644 index 0000000..81a4cb6 --- /dev/null +++ b/matlab/test_compare_skinning.m @@ -0,0 +1,73 @@ +% Register gptoolbox +addpath(genpath('external')); + +% Load mesh +load('mesh/neutral.mat'); + +% Define some transform +reference = {}; +[reference.vertices, reference.faces] = load_mesh('mesh/3.obj'); +load('mesh/centers3.mat'); +centers = zeros(length(centers3), 3); +for i = 1 : length(centers3) + centers(i, :) = [centers3{i}(2), centers3{i}(3), centers3{i}(1)]; +end +transforms = bone_transforms(mesh, centers); + +% Use linear skinning +linear = skin_linear(mesh, transforms); +trimesh(reference.faces, reference.vertices(:, 1), reference.vertices(:, 2), reference.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.0, 0.8, 0.0], 'FaceAlpha', 0.2); +hold on; +trimesh(linear.faces, linear.vertices(:, 1), linear.vertices(:, 2), linear.vertices(:, 3), 'EdgeColor', [0.4, 0.25, 0.0], 'EdgeAlpha', 0.2, 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0); +% quiver3(linear.vertices(:, 1), linear.vertices(:, 2), linear.vertices(:, 3), linear.normals(:, 1), linear.normals(:, 2), linear.normals(:, 3), 'Color', [0.8, 0.5, 0.0]); +hold off; +view([-90, 0]); +camlight; +view([90, 0]); +camlight; +axis equal; +grid off; +lighting gouraud; +axis off; +title('Linear skinning'); +pause; + +% Use dual quaternion skinning +dualquat = skin_dualquat(mesh, transforms); +v = get(gca, 'view'); +trimesh(reference.faces, reference.vertices(:, 1), reference.vertices(:, 2), reference.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.0, 0.8, 0.0], 'FaceAlpha', 0.2); +hold on; +trimesh(dualquat.faces, dualquat.vertices(:, 1), dualquat.vertices(:, 2), dualquat.vertices(:, 3), 'EdgeColor', [0.4, 0.25, 0.0], 'EdgeAlpha', 0.2, 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0); +% quiver3(dualquat.vertices(:, 1), dualquat.vertices(:, 2), dualquat.vertices(:, 3), dualquat.normals(:, 1), dualquat.normals(:, 2), dualquat.normals(:, 3), 'Color', [0.8, 0.5, 0.0]); +hold off; +view([-90, 0]); +camlight; +view([90, 0]); +camlight; +axis equal; +grid off; +lighting gouraud; +axis off; +title('Dual quaternion skinning'); +set(gca, 'view', v); +pause; + +% Use implicit skinning +implicit = skin_implicit(mesh, transforms, 1, 'hrbf'); +% implicit = skin_implicit(mesh, transforms, 1, 'spheres'); +v = get(gca, 'view'); +trimesh(reference.faces, reference.vertices(:, 1), reference.vertices(:, 2), reference.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.0, 0.8, 0.0], 'FaceAlpha', 0.2); +hold on; +trimesh(implicit.faces, implicit.vertices(:, 1), implicit.vertices(:, 2), implicit.vertices(:, 3), 'EdgeColor', [0.4, 0.25, 0.0], 'EdgeAlpha', 0.2, 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0); +% quiver3(implicit.vertices(:, 1), implicit.vertices(:, 2), implicit.vertices(:, 3), implicit.normals(:, 1), implicit.normals(:, 2), implicit.normals(:, 3), 'Color', [0.8, 0.5, 0.0]); +hold off; +view([-90, 0]); +camlight; +view([90, 0]); +camlight; +axis equal; +grid off; +lighting gouraud; +axis off; +title('Implicit skinning'); +set(gca, 'view', v); diff --git a/matlab/test_compare_skinning_ui.m b/matlab/test_compare_skinning_ui.m new file mode 100644 index 0000000..5e12415 --- /dev/null +++ b/matlab/test_compare_skinning_ui.m @@ -0,0 +1,83 @@ +function test_compare_skinning_ui() + + % Register gptoolbox + addpath(genpath('external')); + + % Load mesh + mesh = load('mesh/neutral.mat'); + mesh = mesh.mesh; + + % Compute axis and initial transforms + transforms = cell(1, 18); + for i = 1 : 18 + transforms{i} = eye(4); + end + axes = bone_axes(mesh.spheres); + + % Prepare components + f = figure('Visible', 'off'); + popup = uicontrol( ... + 'Style', 'popup', ... + 'String', {'linear', 'dualquat', 'implicit'}, ... + 'Position', [20 20 100 20], ... + 'Callback', @update ... + ); + sliders = cell(1, 3); + for i = 1 : 3 + sliders{i} = uicontrol( ... + 'Style', 'slider', ... + 'Min', -1, 'Max', 2, 'Value', 0, ... + 'Position', [20, 25 * (4 - i) + 20, 100, 20], ... + 'Callback', @update ... + ); + end + + % Render mesh + h = trimesh(mesh.faces, mesh.vertices(:, 1), mesh.vertices(:, 2), mesh.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.5); + view([-90, 0]); + camlight; + view([90, 0]); + camlight; + axis equal; + grid off; + lighting gouraud; + axis off; + + % Show figure + set(f, 'Visible', 'on') + + % Update callback + function update(varargin) + transforms{6} = matrix_rotation( ... + get(sliders{1}, 'Value'), ... + matrix_apply(transforms{2}, axes{6}(1 : 3, 2)', 0), ... + matrix_apply(transforms{2}, axes{6}(1 : 3, 4)') ... + ) * transforms{2}; + transforms{7} = matrix_rotation( ... + get(sliders{2}, 'Value'), ... + matrix_apply(transforms{6}, axes{7}(1 : 3, 2)', 0), ... + matrix_apply(transforms{6}, axes{7}(1 : 3, 4)') ... + ) * transforms{6}; + transforms{8} = matrix_rotation( ... + get(sliders{3}, 'Value'), ... + matrix_apply(transforms{7}, axes{8}(1 : 3, 2)', 0), ... + matrix_apply(transforms{7}, axes{8}(1 : 3, 4)') ... + ) * transforms{7}; + transformed = mesh; + switch get(popup, 'Value') + case 1 + transformed = skin_linear(transformed, transforms); + case 2 + transformed = skin_dualquat(transformed, transforms); + case 3 + transformed = skin_implicit(transformed, transforms, 20, 'hrbf'); + end + hold on; + delete(h); + h = trimesh(transformed.faces, transformed.vertices(:, 1), transformed.vertices(:, 2), transformed.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.5); + lighting gouraud; + hold off; + end + +end + diff --git a/matlab/test_export.m b/matlab/test_export.m new file mode 100644 index 0000000..70d8168 --- /dev/null +++ b/matlab/test_export.m @@ -0,0 +1,54 @@ + +% Register gptoolbox +addpath(genpath('external')); + +% Load mesh and poses +load('mesh/neutral.mat'); +load('mesh/poses.mat'); +%mesh = mesh_densify(mesh); + +% Export mesh +file = fopen('mesh/neutral.obj', 'w'); +for i = 1 : size(mesh.vertices, 1) + fprintf(file, 'v %f %f %f\r\n', ... + mesh.vertices(i, 1), mesh.vertices(i, 2), mesh.vertices(i, 3)); + fprintf(file, 'vn %f %f %f\r\n', ... + mesh.normals(i, 1), mesh.normals(i, 2), mesh.normals(i, 3)); +end +for i = 1 : size(mesh.faces, 1) + fprintf(file, 'f %d/%d %d/%d %d/%d\r\n', ... + mesh.faces(i, 1), mesh.faces(i, 1), mesh.faces(i, 2), mesh.faces(i, 2), mesh.faces(i, 3), mesh.faces(i, 3)); +end +fclose(file); +disp('neutral.obj saved'); + +% Export skeleton +file = fopen('mesh/neutral.skl', 'w'); +for i = 1 : 18 + c = mesh.bones{i}.center; + fprintf(file, 'b %d %d %f %f %f\r\n', i, mesh.bones{i}.parent, c(1), c(2), c(3)); + for j = 1 : size(mesh.bones{i}.hrbf.centers, 1) + p = mesh.bones{i}.hrbf.centers(j, :); + c = mesh.bones{i}.hrbf.coefficients(j, :); + fprintf(file, 'h %f %f %f %f %f %f %f\r\n', p(1), p(2), p(3), c(2), c(3), c(4), c(1)); + end +end +for i = 1 : length(poses) + fprintf(file, 'p %d\r\n', i); + transforms = bone_local_transforms(mesh, bone_transforms(mesh, poses{i})); + for j = 1 : 18 + t = transforms{j}; + fprintf(file, 't %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f\r\n', ... + t(1, 1), t(1, 2), t(1, 3), t(1, 4), ... + t(2, 1), t(2, 2), t(2, 3), t(2, 4), ... + t(3, 1), t(3, 2), t(3, 3), t(3, 4), ... + t(4, 1), t(4, 2), t(4, 3), t(4, 4)); + end +end +for i = 1 : size(mesh.weights, 1) + [W, I] = sort(mesh.weights(i, :), 'descend'); + fprintf(file, 'w %d/%f %d/%f %d/%f %d/%f\r\n', ... + I(1), W(1), I(2), W(2), I(3), W(3), I(4), W(4)); +end +fclose(file); +disp('neutral.skl saved'); diff --git a/matlab/test_export_image.m b/matlab/test_export_image.m new file mode 100644 index 0000000..041b02e --- /dev/null +++ b/matlab/test_export_image.m @@ -0,0 +1,685 @@ + +% Register gptoolbox +addpath(genpath('external')); + +% Load mesh +load('mesh/cylinder.mat'); + +% Transforms: Bend the cylinder +transforms = cellfun(@double, repmat({eye(4)}, 1, length(mesh.bones)), 'Un', 0); +transforms{2} = matrix_rotation(pi / 1.5, [1, 0, 0], mesh.bones{2}.center); + +l1 = [85, 0]; l2 = [95, 0]; vp = [90, 0]; + +% Use linear skinning +linear = skin_linear(mesh, transforms); +V = linear.vertices; F = linear.faces; +clipping_plane = V(:, 1) > 0; +V(clipping_plane, :) = NaN(nnz(clipping_plane), 3); +trimesh(F, V(:, 1), V(:, 2), V(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0); +view(l1); camlight; +view(l2); camlight; +lighting gouraud; +view(vp); +zoom(2); +axis equal; +grid off; +axis off; +pause; +print('figs/cylinder_linear.png', '-dpng', '-r300'); + +% Use dual quaternion skinning +dualquat = skin_dualquat(mesh, transforms); +V = dualquat.vertices; F = dualquat.faces; +clipping_plane = V(:, 1) > 0; +V(clipping_plane, :) = NaN(nnz(clipping_plane), 3); +trimesh(F, V(:, 1), V(:, 2), V(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0); +view(l1); camlight; +view(l2); camlight; +lighting gouraud; +view(vp); +zoom(2.8); +axis equal; +grid off; +axis off; +pause; +print('figs/cylinder_dualquat.png', '-dpng', '-r300'); + +% Use implicit skinning +implicit = skin_implicit(mesh, transforms, 1, 'spheres'); +V = implicit.vertices; F = implicit.faces; +clipping_plane = V(:, 1) > 0; +V(clipping_plane, :) = NaN(nnz(clipping_plane), 3); +trimesh(F, V(:, 1), V(:, 2), V(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0); +view(l1); camlight; +view(l2); camlight; +lighting gouraud; +view(vp); +zoom(5); +axis equal; +grid off; +axis off; +pause; +print('figs/cylinder_implicit.png', '-dpng', '-r300'); + +l1 = [20, -20]; l2 = [95, -20]; vp = [40, -20]; +implicit = skin_implicit(mesh, transforms, 1, 'spheres'); +V = implicit.vertices; F = implicit.faces; +trimesh(F, V(:, 1), V(:, 2), V(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0, 'SpecularStrength', 0.4); +view(l1); camlight; +view(l2); camlight; +lighting gouraud; +view(vp); +zoom(1.5); +axis equal; +grid off; +axis off; +pause; +print('figs/cylinder_laplacian.png', '-dpng', '-r300'); + +transforms{2} = matrix_rotation(pi / 1.3, [1, 0, 0], mesh.bones{2}.center); +l1 = [85, 0]; l2 = [0, 0]; vp = [90, 0]; + +implicit = skin_implicit(mesh, transforms, 1, 'spheres', 'linear'); +V = implicit.vertices; F = implicit.faces; +clipping_plane = V(:, 1) > 0; +V(clipping_plane, :) = NaN(nnz(clipping_plane), 3); +trimesh(F, V(:, 1), V(:, 2), V(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0, 'SpecularStrength', 0.6); +view(l1); camlight; +view(l2); camlight; +lighting gouraud; +view(vp); +zoom(1.8); +axis equal; +grid off; +axis off; +pause; +print('figs/cylinder_linear_self.png', '-dpng', '-r300'); + +implicit = skin_implicit(mesh, transforms, 1, 'spheres', 'dualquat'); +V = implicit.vertices; F = implicit.faces; +clipping_plane = V(:, 1) > 0; +V(clipping_plane, :) = NaN(nnz(clipping_plane), 3); +trimesh(F, V(:, 1), V(:, 2), V(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0, 'SpecularStrength', 0.2); +view(l1); camlight; +view([160, 0]); camlight; +view([25, 0]); camlight; +lighting gouraud; +view(vp); +zoom(4.3); +axis equal; +grid off; +axis off; +pause; +print('figs/cylinder_dualquat_self.png', '-dpng', '-r300'); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% Transforms: Twist the cylinder +transforms = cellfun(@double, repmat({eye(4)}, 1, length(mesh.bones)), 'Un', 0); +transforms{2} = matrix_rotation(pi / 1.5, [0, 0, 1], mesh.bones{2}.center); + +% Use linear skinning +linear = skin_linear(mesh, transforms); +V = linear.vertices; F = linear.faces; +trimesh(F, V(:, 1), V(:, 2), V(:, 3), 'EdgeColor', 'k', 'EdgeAlpha', 0.2, 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0, 'FaceLighting', 'gouraud', 'EdgeLighting', 'none', 'SpecularStrength', 0.2); +l1 = [75, 0]; view(l1); camlight; +l2 = [105, 0]; view(l2); camlight; +vp = [90, 0]; view(vp); +zoom(2); +axis equal; +grid off; +axis off; +pause; +print('figs/twisted_linear.png', '-dpng', '-r300'); + +% Use dualquat skinning +dualquat = skin_dualquat(mesh, transforms); +V = dualquat.vertices; F = dualquat.faces; +trimesh(F, V(:, 1), V(:, 2), V(:, 3), 'EdgeColor', 'k', 'EdgeAlpha', 0.2, 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0, 'FaceLighting', 'gouraud', 'EdgeLighting', 'none'); +view(l1); camlight; +view(l2); camlight; +view(vp); +zoom(2); +axis equal; +grid off; +axis off; +pause; +print('figs/twisted_dualquat.png', '-dpng', '-r300'); + +% Use implicit skinning +implicit = skin_implicit(mesh, transforms, 1, 'spheres'); +V = implicit.vertices; F = implicit.faces; +trimesh(F, V(:, 1), V(:, 2), V(:, 3), 'EdgeColor', 'k', 'EdgeAlpha', 0.2, 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0, 'FaceLighting', 'gouraud', 'EdgeLighting', 'none'); +view(l1); camlight; +view(l2); camlight; +view(vp); +zoom(2); +axis equal; +grid off; +axis off; +pause; +print('figs/twisted_implicit.png', '-dpng', '-r300'); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +clearvars; + +% Load mesh +load('mesh/neutral.mat'); +mesh = mesh_densify(mesh); +filter = mesh.weights(:, 6) > 0.5 | mesh.weights(:, 7) ~= 0 | mesh.weights(:, 8) ~= 0; + +% Define some transform +transforms = cellfun(@double, repmat({eye(4)}, 1, length(mesh.bones)), 'Un', 0); +transforms{7} = matrix_rotation(pi / 3, [0, 0, 1], mesh.bones{7}.center); +transforms{8} = transforms{7} * matrix_rotation(pi / 2, [0, 0, 1], mesh.bones{8}.center); + +l1 = [0, 30]; l2 = [180, 30]; vp = [90, 90]; + +% Use linear skinning +linear = skin_linear(mesh, transforms); +[V, F] = mesh_filter_vertices(linear.vertices, linear.faces, filter); +% clipping_plane = V(:, 3) > 0; +% V(clipping_plane, :) = NaN(nnz(clipping_plane), 3); +trimesh(F, V(:, 1), V(:, 2), V(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0, 'SpecularStrength', 0.4); +view(l1); camlight; +view(l2); camlight; +lighting gouraud; +view(vp); +zoom(1.2); +axis equal; +grid off; +axis off; +pause; +print('figs/index_linear.png', '-dpng', '-r300'); + +% Use dual quaternion skinning +dualquat = skin_dualquat(mesh, transforms); +[V, F] = mesh_filter_vertices(dualquat.vertices, dualquat.faces, filter); +% clipping_plane = V(:, 3) > 0; +% V(clipping_plane, :) = NaN(nnz(clipping_plane), 3); +trimesh(F, V(:, 1), V(:, 2), V(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0, 'SpecularStrength', 0.4); +view(l1); camlight; +view(l2); camlight; +lighting gouraud; +view(vp); +zoom(1.2); +axis equal; +grid off; +axis off; +pause; +print('figs/index_dualquat.png', '-dpng', '-r300'); + +% Use implicit skinning +implicit = skin_implicit(mesh, transforms, 1, 'hrbf'); +[V, F] = mesh_filter_vertices(implicit.vertices, implicit.faces, filter); +% clipping_plane = V(:, 3) > 2; +% V(clipping_plane, :) = NaN(nnz(clipping_plane), 3); +trimesh(F, V(:, 1), V(:, 2), V(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0, 'SpecularStrength', 0.4); +view(l1); camlight; +view(l2); camlight; +lighting gouraud; +view(vp); +zoom(1.2); +axis equal; +grid off; +axis off; +pause; +print('figs/index_implicit.png', '-dpng', '-r300'); + +implicit = skin_implicit(mesh, transforms, 3, 'hrbf'); +[V, F] = mesh_filter_vertices(implicit.vertices, implicit.faces, filter); +% clipping_plane = V(:, 3) > 2; +% V(clipping_plane, :) = NaN(nnz(clipping_plane), 3); +trimesh(F, V(:, 1), V(:, 2), V(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0, 'SpecularStrength', 0.4); +view(l1); camlight; +view(l2); camlight; +lighting gouraud; +view(vp); +zoom(1.2); +axis equal; +grid off; +axis off; +pause; +print('figs/index_implicit_thresh3.png', '-dpng', '-r300'); + +reference = {}; +[reference.vertices, reference.faces] = load_mesh('mesh/3.obj'); +load('mesh/centers3.mat'); +centers = zeros(length(centers3), 3); +for i = 1 : length(centers3) + centers(i, :) = [centers3{i}(2), centers3{i}(3), centers3{i}(1)]; +end +transforms = bone_transforms(mesh, centers); + +implicit = skin_implicit(mesh, transforms, 1, 'spheres'); +trimesh(implicit.faces, implicit.vertices(:, 1), implicit.vertices(:, 2), implicit.vertices(:, 3), 'EdgeColor', [0.4, 0.25, 0.0], 'EdgeAlpha', 0.0, 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 1.0, 'SpecularStrength', 0.4); +view([-25, 25]); +camlight; +view([0, -65]); +camlight; +axis equal; +grid off; +lighting gouraud; +axis off; +zoom(2); +pause; +print('figs/palm_implicit.png', '-dpng', '-r300'); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +clearvars; + +% Load mesh +load('mesh/neutral.mat'); +l1 = [180, 40]; +l2 = [180, -30]; +vp = [180, 10]; +z = 1.4; +colors = hsv(18); + +% Show spheres +clf; +trimesh(mesh.faces, mesh.vertices(:, 1), mesh.vertices(:, 2), mesh.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.5); +hold on; +for i = 1 : 27 + [X, Y, Z] = sphere(100); + X = X * mesh.spheres{i}.radius + mesh.spheres{i}.center(1); + Y = Y * mesh.spheres{i}.radius + mesh.spheres{i}.center(2); + Z = Z * mesh.spheres{i}.radius + mesh.spheres{i}.center(3); + surf(X, Y, Z, 'FaceColor', [0.2, 0.8, 0.8], 'EdgeColor', 'none', 'FaceAlpha', 0.5); + text(mesh.spheres{i}.center(1), mesh.spheres{i}.center(2), mesh.spheres{i}.center(3), num2str(i), 'Color', [0, 0, 0], 'FontSize', 16, 'FontWeight', 'bold', 'HorizontalAlignment', 'center'); +end +for i = 1 : length(mesh.blocks) + for j = 1 : length(mesh.blocks{i}) + a = mesh.spheres{mesh.blocks{i}(j)}.center; + b = mesh.spheres{mesh.blocks{i}(mod(j, length(mesh.blocks{i})) + 1)}.center; + plot3([a(1), b(1)], [a(2), b(2)], [a(3), b(3)], 'Color', [0.5, 0.5, 0.5], 'LineWidth', 3); + end +end +hold off; +view(l1); camlight; +view(l2); camlight; +view(vp); +axis equal; +grid off; +lighting gouraud; +axis off; +zoom(z); +pause; +print('figs/hand_spheres.png', '-dpng', '-r300'); + +% Show bones +clf; +axes = bone_axes(mesh.spheres); +trimesh(mesh.faces, mesh.vertices(:, 1), mesh.vertices(:, 2), mesh.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.5); +hold on; +for i = 1 : length(mesh.bones) + [X, Y, Z] = sphere(100); + X = X * 0.75 + mesh.bones{i}.center(1); + Y = Y * 0.75 + mesh.bones{i}.center(2); + Z = Z * 0.75 + mesh.bones{i}.center(3); + surf(X, Y, Z, 'EdgeColor', 'none', 'FaceColor', colors(i, :), 'FaceAlpha', 0.5); + if mesh.bones{i}.parent ~= 0 + a = mesh.bones{i}.center; + b = mesh.bones{mesh.bones{i}.parent}.center; + plot3([a(1), b(1)], [a(2), b(2)], [a(3), b(3)], 'Color', [0.5, 0.5, 0.5], 'LineWidth', 3); + end + quiver3(repmat(axes{i}(1, 4), 1, 3), repmat(axes{i}(2, 4), 1, 3), repmat(axes{i}(3, 4), 1, 3), axes{i}(1, 1 : 3), axes{i}(2, 1 : 3), axes{i}(3, 1 : 3), 'Color', colors(i, :), 'LineWidth', 2); + text(mesh.bones{i}.center(1), mesh.bones{i}.center(2), mesh.bones{i}.center(3), num2str(i), 'Color', [0, 0, 0], 'FontSize', 16, 'FontWeight', 'bold', 'HorizontalAlignment', 'center'); +end +hold off; +view(l1); camlight; +view(l2); camlight; +view(vp); +axis equal; +grid off; +lighting gouraud; +axis off; +zoom(z); +pause; +print('figs/hand_bones.png', '-dpng', '-r300'); + +% Show bone weights +clf; +patch('Faces', mesh.faces, 'Vertices', mesh.vertices, 'FaceVertexCData', mesh.weights * colors, ... + 'EdgeColor', 'none', 'FaceColor', 'interp', 'CDataMapping', 'scaled') +view(l1); camlight; +view(l2); camlight; +view(vp); +axis equal; +grid off; +lighting gouraud; +axis off; +zoom(z); +pause; +print('figs/hand_bone_weights.png', '-dpng', '-r300'); + +% Add spacing between bones +offset = 3; +delta = zeros(18, 3); +for i = 1 : 18 + delta(i, :) = offset * axes{i}(1 : 3, 1)'; + if mesh.bones{i}.parent > 0 + delta(i, :) = delta(i, :) + delta(mesh.bones{i}.parent, :); + end +end + +% Show bone partitioning +clf; +for i = 1 : 18 + if i == 2 + hold on; + end + patch('Faces', mesh.bones{i}.faces, 'Vertices', mesh.bones{i}.vertices + repmat(delta(i, :), size(mesh.bones{i}.vertices, 1), 1), 'FaceVertexCData', repmat(colors(i, :), size(mesh.bones{i}.vertices, 1), 1), ... + 'EdgeColor', 'none', 'FaceColor', 'interp', 'CDataMapping', 'scaled') +end +hold off; +view(l1); camlight; +view(l2); camlight; +view(vp); +axis equal; +grid off; +lighting gouraud; +axis off; +zoom(z); +pause; +print('figs/hand_bone_partition.png', '-dpng', '-r300'); + +% Show bone HRBF reconstruction +clf; +for i = 1 : 18 + if i == 2 + hold on; + end + [X, Y, Z] = meshgrid( ... + min(mesh.bones{i}.vertices(:, 1)) - 2 : 0.1 : max(mesh.bones{i}.vertices(:, 1)) + 3, ... + min(mesh.bones{i}.vertices(:, 2)) - 2 : 0.1 : max(mesh.bones{i}.vertices(:, 2)) + 2, ... + min(mesh.bones{i}.vertices(:, 3)) - 2 : 0.1 : max(mesh.bones{i}.vertices(:, 3)) + 2 ... + ); + V = hrbf_apply(mesh.bones{i}.hrbf.centers, mesh.bones{i}.hrbf.coefficients, [X(:), Y(:), Z(:)]); + V = reshape(V, size(X)); + X = X + delta(i, 1); + Y = Y + delta(i, 2); + Z = Z + delta(i, 3); + p = patch(isosurface(X, Y, Z, V, 0)); + isonormals(X, Y, Z, V, p); + p.FaceColor = colors(i, :); + p.EdgeColor = 'none'; +end +hold off; +view(l1); camlight; +view(l2); camlight; +view(vp); +axis equal; +grid off; +lighting gouraud; +axis off; +zoom(z); +pause; +print('figs/hand_bone_hrbf.png', '-dpng', '-r300'); + +% Show bone sphere reconstruction +clf; +for i = 1 : 18 + if i == 2 + hold on; + end + [X, Y, Z] = meshgrid( ... + min(mesh.bones{i}.vertices(:, 1)) - 2 : 0.1 : max(mesh.bones{i}.vertices(:, 1)) + 2, ... + min(mesh.bones{i}.vertices(:, 2)) - 2 : 0.1 : max(mesh.bones{i}.vertices(:, 2)) + 2, ... + min(mesh.bones{i}.vertices(:, 3)) - 2 : 0.1 : max(mesh.bones{i}.vertices(:, 3)) + 2 ... + ); + V = sphere_apply(mesh.spheres, mesh.bones{i}.blocks, [X(:), Y(:), Z(:)]); + V = reshape(V, size(X)); + X = X + delta(i, 1); + Y = Y + delta(i, 2); + Z = Z + delta(i, 3); + p = patch(isosurface(X, Y, Z, V, 0)); + isonormals(X, Y, Z, V, p); + p.FaceColor = colors(i, :); + p.EdgeColor = 'none'; +end +hold off; +view(l1); camlight; +view(l2); camlight; +view(vp); +axis equal; +grid off; +lighting gouraud; +axis off; +zoom(z); +pause; +print('figs/hand_bone_sphere.png', '-dpng', '-r300'); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +clearvars; + +% Load mesh +load('mesh/neutral.mat'); +l1 = [0, 60]; +l2 = [0, -60]; +vp = [0, 10]; +z = 1.4; +colors = hsv(18); + +% Show bone weights +clf; +patch('Faces', mesh.faces, 'Vertices', mesh.vertices, 'FaceVertexCData', ... + mesh.implicit.blend_weight * [1.0, 0.7, 0.5] + (1 - mesh.implicit.blend_weight) * [0.8, 0.8, 0.8], ... + 'EdgeColor', 'none', 'FaceColor', 'interp', 'CDataMapping', 'scaled') +view(l1); camlight; +view(l2); camlight; +view(vp); +axis equal; +grid off; +lighting gouraud; +axis off; +zoom(z); +pause; +print('figs/hand_bone_blend_weights.png', '-dpng', '-r300'); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +clearvars; + +% Load mesh +load('mesh/neutral.mat'); +l1 = [0, 30]; +l2 = [180, 30]; +vp = [90, 90]; +z = 1.1; +threshold = 4; + +% Keep only the index +bones = mesh.bones(6 : 8); +bones{1}.parent = 0; +bones{2}.parent = 1; +bones{3}.parent = 2; +transforms = {eye(4), [], []}; +transforms{2} = matrix_rotation(pi / 3, [0, 0, 1], bones{2}.center); +transforms{3} = transforms{2} * matrix_rotation(pi / 2, [0, 0, 1], bones{3}.center); +[X, Y, Z] = meshgrid( ... + -9 : 0.1 : 0, ... + -3 : 0.1 : 5, ... + -1 : 0.1 : 5 ... +); + +% Show HRBF reconstruction with union +clf; +V1 = hrbf_apply(bones{1}.hrbf.centers, bones{1}.hrbf.coefficients, matrix_apply(inv(transforms{1}), [X(:), Y(:), Z(:)])); +V2 = hrbf_apply(bones{2}.hrbf.centers, bones{2}.hrbf.coefficients, matrix_apply(inv(transforms{2}), [X(:), Y(:), Z(:)])); +V3 = hrbf_apply(bones{3}.hrbf.centers, bones{3}.hrbf.coefficients, matrix_apply(inv(transforms{3}), [X(:), Y(:), Z(:)])); +V1 = sdf_reparam(V1, threshold); +V2 = sdf_reparam(V2, threshold); +V3 = sdf_reparam(V3, threshold); +V12 = sdf_union(V1, V2); +V23 = sdf_union(V2, V3); +V = sdf_union(V12, V23); +V = reshape(V, size(X)); +p = patch(isosurface(X, Y, Z, V, 0.5)); +isonormals(X, Y, Z, V, p); +p.FaceColor = [0.5, 0.5, 0.8]; +p.FaceAlpha = 0.5; +p.EdgeColor = 'none'; +for s = [0.4, 0.3, 0.2, 0.1] + p = patch(isosurface(X, Y, Z, V, s)); + isonormals(X, Y, Z, V, p); + p.FaceColor = [0.5, 0.5, 0.6]; + p.FaceAlpha = 0.1; + p.EdgeColor = 'none'; +end +view(l1); camlight; +view(l2); camlight; +lighting gouraud; +view(vp); +zoom(z); +axis equal; +grid off; +axis off; +pause; +print('figs/index_sdf_hrbf_union.png', '-dpng', '-r300'); + +% Show sphere reconstruction with union +clf; +V1 = sphere_apply(mesh.spheres, bones{1}.blocks, matrix_apply(inv(transforms{1}), [X(:), Y(:), Z(:)])); +V2 = sphere_apply(mesh.spheres, bones{2}.blocks, matrix_apply(inv(transforms{2}), [X(:), Y(:), Z(:)])); +V3 = sphere_apply(mesh.spheres, bones{3}.blocks, matrix_apply(inv(transforms{3}), [X(:), Y(:), Z(:)])); +V1 = sdf_reparam(V1, threshold); +V2 = sdf_reparam(V2, threshold); +V3 = sdf_reparam(V3, threshold); +V12 = sdf_union(V1, V2); +V23 = sdf_union(V2, V3); +V = sdf_union(V12, V23); +V = reshape(V, size(X)); +p = patch(isosurface(X, Y, Z, V, 0.5)); +isonormals(X, Y, Z, V, p); +p.FaceColor = [0.5, 0.5, 0.8]; +p.FaceAlpha = 0.5; +p.EdgeColor = 'none'; +for s = [0.4, 0.3, 0.2, 0.1] + p = patch(isosurface(X, Y, Z, V, s)); + isonormals(X, Y, Z, V, p); + p.FaceColor = [0.5, 0.5, 0.6]; + p.FaceAlpha = 0.1; + p.EdgeColor = 'none'; +end +view(l1); camlight; +view(l2); camlight; +lighting gouraud; +view(vp); +zoom(z); +axis equal; +grid off; +axis off; +pause; +print('figs/index_sdf_sphere_union.png', '-dpng', '-r300'); + +% Show HRBF reconstruction with blending +clf; +alpha_to_theta = {}; +alpha_to_theta.alpha0 = pi / 8; +alpha_to_theta.alpha1 = pi / 2; +alpha_to_theta.alpha2 = pi / 2; +alpha_to_theta.theta0 = pi / 4; +alpha_to_theta.theta1 = pi / 10; +alpha_to_theta.theta2 = pi / 10; +alpha_to_theta.omega0 = 0.5; +alpha_to_theta.omega1 = 1; +[V1, G1] = hrbf_apply(bones{1}.hrbf.centers, bones{1}.hrbf.coefficients, matrix_apply(inv(transforms{1}), [X(:), Y(:), Z(:)])); +[V2, G2] = hrbf_apply(bones{2}.hrbf.centers, bones{2}.hrbf.coefficients, matrix_apply(inv(transforms{2}), [X(:), Y(:), Z(:)])); +[V3, G3] = hrbf_apply(bones{3}.hrbf.centers, bones{3}.hrbf.coefficients, matrix_apply(inv(transforms{3}), [X(:), Y(:), Z(:)])); +V1 = sdf_reparam(V1, threshold); +V2 = sdf_reparam(V2, threshold); +V3 = sdf_reparam(V3, threshold); +G1 = -normalizerow(G1); +G2 = -normalizerow(G2); +G3 = -normalizerow(G3); +% alpha = acos(dot(G1, G2, 2)); +% theta = sdf_blend_theta_curve(alpha, alpha_to_theta); +% V12 = sdf_blend(V1, V2, theta); +% alpha = acos(dot(G2, G3, 2)); +% theta = sdf_blend_theta_curve(alpha, alpha_to_theta); +% V23 = sdf_blend(V2, V3, theta); +V12b = sdf_blend(V1, V2, sdf_blend_theta_curve(pi / 3, alpha_to_theta)); +V23b = sdf_blend(V2, V3, sdf_blend_theta_curve(pi / 2, alpha_to_theta)); +V12u = sdf_union(V1, V2); +V23u = sdf_union(V2, V3); +% TODO blending weights +V12 = V12b; +V23 = V23b; +V = sdf_union(V12, V23); +V = reshape(V, size(X)); +p = patch(isosurface(X, Y, Z, V, 0.5)); +isonormals(X, Y, Z, V, p); +p.FaceColor = [0.5, 0.5, 0.8]; +p.FaceAlpha = 0.5; +p.EdgeColor = 'none'; +for s = [0.4, 0.3, 0.2, 0.1] + p = patch(isosurface(X, Y, Z, V, s)); + isonormals(X, Y, Z, V, p); + p.FaceColor = [0.5, 0.5, 0.6]; + p.FaceAlpha = 0.1; + p.EdgeColor = 'none'; +end +view(l1); camlight; +view(l2); camlight; +lighting gouraud; +view(vp); +zoom(z); +axis equal; +grid off; +axis off; +pause; +print('figs/index_sdf_hrbf_blend.png', '-dpng', '-r300'); + +% Show sphere reconstruction with blending +clf; +[V1, G1] = sphere_apply(mesh.spheres, bones{1}.blocks, matrix_apply(inv(transforms{1}), [X(:), Y(:), Z(:)])); +[V2, G2] = sphere_apply(mesh.spheres, bones{2}.blocks, matrix_apply(inv(transforms{2}), [X(:), Y(:), Z(:)])); +[V3, G3] = sphere_apply(mesh.spheres, bones{3}.blocks, matrix_apply(inv(transforms{3}), [X(:), Y(:), Z(:)])); +V1 = sdf_reparam(V1, threshold); +V2 = sdf_reparam(V2, threshold); +V3 = sdf_reparam(V3, threshold); +G1 = -normalizerow(G1); +G2 = -normalizerow(G2); +G3 = -normalizerow(G3); +% alpha = acos(dot(G1, G2, 2)); +% theta = sdf_blend_theta_curve(alpha, alpha_to_theta); +% V12 = sdf_blend(V1, V2, theta); +% alpha = acos(dot(G2, G3, 2)); +% theta = sdf_blend_theta_curve(alpha, alpha_to_theta); +% V23 = sdf_blend(V2, V3, theta); +V12b = sdf_blend(V1, V2, sdf_blend_theta_curve(pi / 3, alpha_to_theta)); +V23b = sdf_blend(V2, V3, sdf_blend_theta_curve(pi / 2, alpha_to_theta)); +V12u = sdf_union(V1, V2); +V23u = sdf_union(V2, V3); +% TODO blending weights +V12 = V12b; +V23 = V23b; +V = sdf_union(V12, V23); +V = real(reshape(V, size(X))); +p = patch(isosurface(X, Y, Z, V, 0.5)); +isonormals(X, Y, Z, V, p); +p.FaceColor = [0.5, 0.5, 0.8]; +p.FaceAlpha = 0.5; +p.EdgeColor = 'none'; +for s = [0.4, 0.3, 0.2, 0.1] + p = patch(isosurface(X, Y, Z, V, s)); + isonormals(X, Y, Z, V, p); + p.FaceColor = [0.5, 0.5, 0.6]; + p.FaceAlpha = 0.1; + p.EdgeColor = 'none'; +end +view(l1); camlight; +view(l2); camlight; +lighting gouraud; +view(vp); +zoom(z); +axis equal; +grid off; +axis off; +pause; +print('figs/index_sdf_sphere_blend.png', '-dpng', '-r300'); diff --git a/matlab/test_generate_cylinder.m b/matlab/test_generate_cylinder.m new file mode 100644 index 0000000..ff71884 --- /dev/null +++ b/matlab/test_generate_cylinder.m @@ -0,0 +1,28 @@ + +% Register gptoolbox +addpath(genpath('external')); + +m = 100; n = 100; +[V,F] = create_regular_grid(m,n,1,0); +V = [sin(2*pi*V(:,1)), cos(2*pi*V(:,1)), (n-1)*10/(m-1)*V(:,2)]; +mesh = {}; +mesh.vertices = V; +mesh.faces = F; +mesh.normals = per_vertex_normals(V,F); +mesh.spheres{1}.center = [0, 0, 1]; mesh.spheres{1}.radius = 1; mesh.spheres{1}.bone = 1; +mesh.spheres{2}.center = [0, 0, 5]; mesh.spheres{2}.radius = 1; mesh.spheres{2}.bone = 1; +mesh.spheres{3}.center = [0, 0, 9]; mesh.spheres{3}.radius = 1; mesh.spheres{3}.bone = 2; +mesh.blocks{1} = [1, 2]; +mesh.blocks{2} = [2, 3]; +mesh.bones{1}.parent = 0; mesh.bones{1}.center = [0, 0, 1]; mesh.bones{1}.blocks{1} = [1, 2]; mesh.bones{1}.blend = 'bulge'; +mesh.bones{2}.parent = 1; mesh.bones{2}.center = [0, 0, 5]; mesh.bones{2}.blocks{1} = [2, 3]; mesh.bones{2}.blend = 'bulge'; +W = bone_heat(V, F, [0, 0, 1; 0, 0, 5; 0, 0, 9], 1:3, [1, 2; 2, 3], []); +mesh.weights = [W(:, 1)+W(:, 4), W(:, 3)+W(:, 5)]; +mesh.implicit.adj_mat = adjacency_matrix(mesh.faces); +% TODO: Add HRBFs +[mesh.implicit.mvc, mesh.implicit.is_on_side] = mesh_mvc(mesh); +mesh.implicit.blend_weight = max(mesh.vertices(:, 2), zeros(size(mesh.vertices, 1), 1)); + +% Save mesh +save('mesh/cylinder.mat', 'mesh'); +disp('cylinder.mat saved'); diff --git a/matlab/test_generate_hrbf.m b/matlab/test_generate_hrbf.m new file mode 100644 index 0000000..495788e --- /dev/null +++ b/matlab/test_generate_hrbf.m @@ -0,0 +1,80 @@ + +function test_generate_hrbf() + +% Register gptoolbox +addpath(genpath('external')); + +% Load neutral mesh +mesh = {}; +load('mesh/neutral.mat'); + +% Regenerate and show HRBF +colors = hsv(length(mesh.bones)); +i = 1; +offset = 1; +function regen(compute) + + % Recompute + if compute + [mesh.bones{i}.hrbf.points, mesh.bones{i}.hrbf.normals] = hrbf_points(mesh.bones{i}.vertices, mesh.bones{i}.faces, offset); + mesh.bones{i}.hrbf.centers = hrbf_centers(mesh.bones{i}.hrbf.points); + mesh.bones{i}.hrbf.coefficients = hrbf_coefficients(mesh.bones{i}.hrbf.centers, mesh.bones{i}.hrbf.points, mesh.bones{i}.hrbf.normals); + end + + % Show + v = get(gca, 'view'); + trimesh(mesh.bones{i}.faces, mesh.bones{i}.vertices(:, 1), mesh.bones{i}.vertices(:, 2), mesh.bones{i}.vertices(:, 3), 'FaceAlpha', 0, 'EdgeColor', colors(i, :)); + view([-90, 0]); + camlight; + view([90, 0]); + camlight; + axis equal; + grid off; + lighting gouraud; + axis off; + hold on; + [X, Y, Z] = meshgrid( ... + min(mesh.bones{i}.vertices(:, 1)) - 3 : 0.2 : max(mesh.bones{i}.vertices(:, 1)) + 3, ... + min(mesh.bones{i}.vertices(:, 2)) - 3 : 0.2 : max(mesh.bones{i}.vertices(:, 2)) + 3, ... + min(mesh.bones{i}.vertices(:, 3)) - 3 : 0.2 : max(mesh.bones{i}.vertices(:, 3)) + 3 ... + ); + V = hrbf_apply(mesh.bones{i}.hrbf.centers, mesh.bones{i}.hrbf.coefficients, [X(:), Y(:), Z(:)]); + V = reshape(V, size(X)); + p = patch(isosurface(X, Y, Z, V, 0)); + isonormals(X, Y, Z, V, p); + p.FaceColor = colors(i, :); + p.FaceAlpha = 0.5; + p.EdgeColor = 'none'; + quiver3(mesh.bones{i}.hrbf.points(:, 1), mesh.bones{i}.hrbf.points(:, 2), mesh.bones{i}.hrbf.points(:, 3), mesh.bones{i}.hrbf.normals(:, 1), mesh.bones{i}.hrbf.normals(:, 2), mesh.bones{i}.hrbf.normals(:, 3), 'Color', colors(i, :)); + hold off; + set(gca, 'view', v); + + % Handle key callback + function callback(~, event, ~) + switch event.Key + case 's' + i = mod(i, length(mesh.bones)) + 1; + offset = 1; + regen(0); + case 'y' + save('mesh/neutral.mat', 'mesh'); + disp('neutral.mat saved'); + i = mod(i, length(mesh.bones)) + 1; + offset = 1; + regen(0); + case 'n' + regen(1); + case 'p' + offset = offset + 0.25; + regen(1); + case 'm' + offset = offset - 0.25; + regen(1); + end + end + set(gcf, 'KeyPressFcn', @callback); +end +regen(0); +pause; + +end \ No newline at end of file diff --git a/matlab/test_generate_neutral.m b/matlab/test_generate_neutral.m new file mode 100644 index 0000000..0a14dc7 --- /dev/null +++ b/matlab/test_generate_neutral.m @@ -0,0 +1,396 @@ + +% Register gptoolbox +addpath(genpath('external')); + +% Load mesh +mesh = {}; +[mesh.vertices, mesh.faces, ~, ~, N, NF] = readOBJ('mesh/5.obj'); +M = zeros(size(mesh.vertices, 1), 1); +for f = 1 : size(mesh.faces, 1) + M(mesh.faces(f, 1)) = NF(f, 1); + M(mesh.faces(f, 2)) = NF(f, 2); + M(mesh.faces(f, 3)) = NF(f, 3); +end +mesh.normals = N(M, :); + +% Load and rescale additional poses +%load('mesh/centers1.mat'); +load('mesh/centers2.mat'); +load('mesh/centers3.mat'); +%load('mesh/centers_spock.mat'); +load('mesh/centers_ok.mat'); +load('mesh/centers_scissors.mat'); +spheres = {centers2, centers3, centers_ok, centers_scissors}; +poses = cell(size(spheres)); +for i = 1 : length(spheres) + centers = zeros(30, 3); + for j = 1 : 30 + centers(j, 1) = spheres{i}{j}(2); + centers(j, 2) = spheres{i}{j}(3); + centers(j, 3) = spheres{i}{j}(1); + end + % TODO rescale poses + poses{i} = centers; +end +save('mesh/poses.mat', 'poses'); +disp('poses.mat saved'); + +% Show mesh +trimesh(mesh.faces, mesh.vertices(:, 1), mesh.vertices(:, 2), mesh.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.5); +hold on; +quiver3(mesh.vertices(:, 1), mesh.vertices(:, 2), mesh.vertices(:, 3), mesh.normals(:, 1), mesh.normals(:, 2), mesh.normals(:, 3), 'Color', [0.8, 0.8, 0.8]); +hold off; +view([-90, 0]); +camlight; +view([90, 0]); +camlight; +axis equal; +grid off; +lighting gouraud; +axis off; +pause; + +% Load spheres +file = fopen('mesh/new_centers.csv', 'r'); +centers = textscan(file, '%f%f%f%[^\n\r]', 'Delimiter', ',', 'ReturnOnError', false); +centers = [centers{1 : end - 1}]; +fclose(file); +load('mesh/radii.mat'); +load('mesh/blocks.mat'); +mesh.spheres = cell(1, size(centers, 1)); +for i = 1 : length(mesh.spheres) + % TODO rescale spheres + mesh.spheres{i}.center = centers(i, :); + mesh.spheres{i}.radius = radii{i}; +end +mesh.blocks = blocks; +mesh.spheres{1}.bone = 18; +mesh.spheres{2}.bone = 17; +mesh.spheres{3}.bone = 16; +mesh.spheres{4}.bone = 15; +mesh.spheres{5}.bone = 14; +mesh.spheres{6}.bone = 13; +mesh.spheres{7}.bone = 12; +mesh.spheres{8}.bone = 2; +mesh.spheres{9}.bone = 11; +mesh.spheres{10}.bone = 10; +mesh.spheres{11}.bone = 9; +mesh.spheres{12}.bone = 2; +mesh.spheres{13}.bone = 8; +mesh.spheres{14}.bone = 7; +mesh.spheres{15}.bone = 6; +mesh.spheres{16}.bone = 2; +mesh.spheres{17}.bone = 5; +mesh.spheres{18}.bone = 4; +mesh.spheres{19}.bone = 3; +mesh.spheres{20}.bone = 2; +mesh.spheres{21}.bone = 2; +mesh.spheres{22}.bone = 1; +mesh.spheres{23}.bone = 1; +mesh.spheres{24}.bone = 1; +mesh.spheres{25}.bone = 1; +mesh.spheres{26}.bone = 1; +mesh.spheres{27}.bone = 1; +mesh.spheres{28}.bone = 2; +mesh.spheres{29}.bone = 2; +mesh.spheres{30}.bone = 2; + +% Show spheres +v = get(gca, 'view'); +trimesh(mesh.faces, mesh.vertices(:, 1), mesh.vertices(:, 2), mesh.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.5); +hold on; +for i = 1 : length(mesh.spheres) + [X, Y, Z] = sphere; + X = X * mesh.spheres{i}.radius + mesh.spheres{i}.center(1); + Y = Y * mesh.spheres{i}.radius + mesh.spheres{i}.center(2); + Z = Z * mesh.spheres{i}.radius + mesh.spheres{i}.center(3); + surf(X, Y, Z, 'FaceColor', [0.2, 0.8, 0.8], 'EdgeColor', 'none', 'FaceAlpha', 0.5); + text(mesh.spheres{i}.center(1), mesh.spheres{i}.center(2), mesh.spheres{i}.center(3), num2str(i), 'Color', [0, 0, 0], 'FontSize', 16, 'FontWeight', 'bold', 'HorizontalAlignment', 'center'); +end +for i = 1 : length(mesh.blocks) + for j = 1 : length(mesh.blocks{i}) + a = mesh.spheres{mesh.blocks{i}(j)}.center; + b = mesh.spheres{mesh.blocks{i}(mod(j, length(mesh.blocks{i})) + 1)}.center; + plot3([a(1), b(1)], [a(2), b(2)], [a(3), b(3)], 'Color', [0.5, 0.5, 0.5], 'LineWidth', 3); + end +end +hold off; +view([-90, 0]); +camlight; +view([90, 0]); +camlight; +axis equal; +grid off; +lighting gouraud; +axis off; +set(gca, 'view', v); +pause; + +% Load bones +mesh.bones = cell(1, 18); +mesh.bones{1}.parent = 0; +mesh.bones{2}.parent = 1; +mesh.bones{3}.parent = 2; +mesh.bones{4}.parent = 3; +mesh.bones{5}.parent = 4; +mesh.bones{6}.parent = 2; +mesh.bones{7}.parent = 6; +mesh.bones{8}.parent = 7; +mesh.bones{9}.parent = 2; +mesh.bones{10}.parent = 9; +mesh.bones{11}.parent = 10; +mesh.bones{12}.parent = 2; +mesh.bones{13}.parent = 12; +mesh.bones{14}.parent = 13; +mesh.bones{15}.parent = 2; +mesh.bones{16}.parent = 15; +mesh.bones{17}.parent = 16; +mesh.bones{18}.parent = 17; +mesh.bones{1}.center = mesh.spheres{26}.center * 0.5 + mesh.spheres{27}.center * 0.5; +mesh.bones{2}.center = mesh.spheres{22}.center; +mesh.bones{3}.center = mesh.spheres{20}.center; +mesh.bones{4}.center = mesh.spheres{19}.center; +mesh.bones{5}.center = mesh.spheres{18}.center; +mesh.bones{6}.center = mesh.spheres{16}.center; +mesh.bones{7}.center = mesh.spheres{15}.center; +mesh.bones{8}.center = mesh.spheres{14}.center; +mesh.bones{9}.center = mesh.spheres{12}.center; +mesh.bones{10}.center = mesh.spheres{11}.center; +mesh.bones{11}.center = mesh.spheres{10}.center; +mesh.bones{12}.center = mesh.spheres{8}.center; +mesh.bones{13}.center = mesh.spheres{7}.center; +mesh.bones{14}.center = mesh.spheres{6}.center; +mesh.bones{15}.center = mesh.spheres{8}.center * 0.5 + mesh.spheres{23}.center * 0.5; +mesh.bones{16}.center = mesh.spheres{4}.center; +mesh.bones{17}.center = mesh.spheres{3}.center; +mesh.bones{18}.center = mesh.spheres{2}.center; +axes = bone_axes(mesh.spheres); + +% Show bone hierarchy +v = get(gca, 'view'); +colors = hsv(length(mesh.bones)); +trimesh(mesh.faces, mesh.vertices(:, 1), mesh.vertices(:, 2), mesh.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.5); +hold on; +for i = 1 : length(mesh.bones) + [X, Y, Z] = sphere; + X = X * 0.75 + mesh.bones{i}.center(1); + Y = Y * 0.75 + mesh.bones{i}.center(2); + Z = Z * 0.75 + mesh.bones{i}.center(3); + surf(X, Y, Z, 'EdgeColor', 'none', 'FaceColor', colors(i, :), 'FaceAlpha', 0.5); + if mesh.bones{i}.parent ~= 0 + a = mesh.bones{i}.center; + b = mesh.bones{mesh.bones{i}.parent}.center; + plot3([a(1), b(1)], [a(2), b(2)], [a(3), b(3)], 'Color', [0.5, 0.5, 0.5], 'LineWidth', 3); + end + quiver3(repmat(axes{i}(1, 4), 1, 3), repmat(axes{i}(2, 4), 1, 3), repmat(axes{i}(3, 4), 1, 3), axes{i}(1, 1 : 3), axes{i}(2, 1 : 3), axes{i}(3, 1 : 3), 'Color', colors(i, :), 'LineWidth', 2); + text(mesh.bones{i}.center(1), mesh.bones{i}.center(2), mesh.bones{i}.center(3), num2str(i), 'Color', [0, 0, 0], 'FontSize', 16, 'FontWeight', 'bold', 'HorizontalAlignment', 'center'); +end +hold off; +view([-90, 0]); +camlight; +view([90, 0]); +camlight; +axis equal; +grid off; +lighting gouraud; +axis off; +set(gca, 'view', v); +pause; + +% Load weights +file = fopen('mesh/weights5.csv', 'r'); +data = textscan(file, '%f%f%f%f%f%f%f%f%f%f%f%f%f%f%f%f%f%f%[^\n\r]', 'Delimiter', ',', 'EmptyValue', NaN, 'HeaderLines', 1, 'ReturnOnError', false); +fclose(file); +mesh.weights = [data{1 : end - 1}]; +mesh.weights = mesh.weights ./ repmat(sum(mesh.weights, 2), 1, size(mesh.weights, 2)); + +% Show weights +for i = 1 : length(mesh.bones) + v = get(gca, 'view'); + trisurf(mesh.faces, mesh.vertices(:, 1), mesh.vertices(:, 2), mesh.vertices(:, 3), mesh.weights(:, i), 'EdgeColor', 'none'); + view([-90, 0]); + camlight; + view([90, 0]); + camlight; + axis equal; + grid off; + lighting gouraud; + axis off; + set(gca, 'view', v); + colormap((0 : 0.01 : 1)' * colors(i, :)); + pause; +end + +% Compute partitioning +[~, mesh.assignments] = max(mesh.weights, [], 2); +for i = 1 : length(mesh.bones) + keep = mesh.assignments == i; + indices = 1 : size(mesh.vertices, 1); + mesh.bones{i}.indices = indices(keep); + [mesh.bones{i}.vertices, mesh.bones{i}.faces] = mesh_filter_vertices(mesh.vertices, mesh.faces, keep); + mesh.bones{i}.normals = mesh.normals(keep, :); +end + +% Precompute HRBF +for i = 1 : length(mesh.bones) + [mesh.bones{i}.hrbf.points, mesh.bones{i}.hrbf.normals] = hrbf_points(mesh.bones{i}.vertices, mesh.bones{i}.faces); + mesh.bones{i}.hrbf.centers = hrbf_centers(mesh.bones{i}.hrbf.points); + mesh.bones{i}.hrbf.coefficients = hrbf_coefficients(mesh.bones{i}.hrbf.centers, mesh.bones{i}.hrbf.points, mesh.bones{i}.hrbf.normals); +end + +% Show HRBF reconstruction +for i = 1 : length(mesh.bones) + trimesh(mesh.bones{i}.faces, mesh.bones{i}.vertices(:, 1), mesh.bones{i}.vertices(:, 2), mesh.bones{i}.vertices(:, 3), 'FaceAlpha', 0, 'EdgeColor', colors(i, :)); + view([-90, 0]); + camlight; + view([90, 0]); + camlight; + axis equal; + grid off; + lighting gouraud; + axis off; + hold on; + [X, Y, Z] = meshgrid( ... + min(mesh.bones{i}.vertices(:, 1)) - 2 : 0.4 : max(mesh.bones{i}.vertices(:, 1)) + 2, ... + min(mesh.bones{i}.vertices(:, 2)) - 2 : 0.4 : max(mesh.bones{i}.vertices(:, 2)) + 2, ... + min(mesh.bones{i}.vertices(:, 3)) - 2 : 0.4 : max(mesh.bones{i}.vertices(:, 3)) + 2 ... + ); + V = hrbf_apply(mesh.bones{i}.hrbf.centers, mesh.bones{i}.hrbf.coefficients, [X(:), Y(:), Z(:)]); + V = reshape(V, size(X)); + p = patch(isosurface(X, Y, Z, V, 0)); + isonormals(X, Y, Z, V, p); + p.FaceColor = colors(i, :); + p.FaceAlpha = 0.5; + p.EdgeColor = 'none'; + quiver3(mesh.bones{i}.hrbf.points(:, 1), mesh.bones{i}.hrbf.points(:, 2), mesh.bones{i}.hrbf.points(:, 3), mesh.bones{i}.hrbf.normals(:, 1), mesh.bones{i}.hrbf.normals(:, 2), mesh.bones{i}.hrbf.normals(:, 3), 'Color', colors(i, :)); + hold off; + pause; +end + +% Show HRBF reconstruction (everything in same plot) +trimesh(mesh.faces, mesh.vertices(:, 1), mesh.vertices(:, 2), mesh.vertices(:, 3), 'FaceAlpha', 0, 'EdgeColor', [0.8, 0.8, 0.8]); +hold on; +for i = 1 : length(mesh.bones) + [X, Y, Z] = meshgrid( ... + min(mesh.bones{i}.vertices(:, 1)) - 2 : 0.4 : max(mesh.bones{i}.vertices(:, 1)) + 2, ... + min(mesh.bones{i}.vertices(:, 2)) - 2 : 0.4 : max(mesh.bones{i}.vertices(:, 2)) + 2, ... + min(mesh.bones{i}.vertices(:, 3)) - 2 : 0.4 : max(mesh.bones{i}.vertices(:, 3)) + 2 ... + ); + V = hrbf_apply(mesh.bones{i}.hrbf.centers, mesh.bones{i}.hrbf.coefficients, [X(:), Y(:), Z(:)]); + V = reshape(V, size(X)); + p = patch(isosurface(X, Y, Z, V, 0)); + isonormals(X, Y, Z, V, p); + p.FaceColor = colors(i, :); + p.FaceAlpha = 0.5; + p.EdgeColor = 'none'; +end +hold off; +view([-90, 0]); +camlight; +view([90, 0]); +camlight; +axis equal; +grid off; +lighting gouraud; +axis off; +pause; + +% Compute sphere SDF +% TODO update to last sphere model? +mesh.bones{1}.blocks = mesh.blocks([25, 26]); +mesh.bones{2}.blocks = mesh.blocks([18, 19, 20, 21, 22, 23, 24, 28, 29]); +mesh.bones{3}.blocks = mesh.blocks(15); +mesh.bones{4}.blocks = mesh.blocks(14); +mesh.bones{5}.blocks = mesh.blocks(13); +mesh.bones{6}.blocks = mesh.blocks(12); +mesh.bones{7}.blocks = mesh.blocks(11); +mesh.bones{8}.blocks = mesh.blocks(10); +mesh.bones{9}.blocks = mesh.blocks(9); +mesh.bones{10}.blocks = mesh.blocks(8); +mesh.bones{11}.blocks = mesh.blocks(7); +mesh.bones{12}.blocks = mesh.blocks(6); +mesh.bones{13}.blocks = mesh.blocks(5); +mesh.bones{14}.blocks = mesh.blocks(4); +mesh.bones{15}.blocks = mesh.blocks([16, 17, 27]); +mesh.bones{16}.blocks = mesh.blocks(3); +mesh.bones{17}.blocks = mesh.blocks(2); +mesh.bones{18}.blocks = mesh.blocks(1); + +% Show sphere reconstruction +clf; +for i = 1 : length(mesh.bones) + low = inf(1, 3); + high = -inf(1, 3); + for j = 1 : length(mesh.bones{i}.blocks) + for k = mesh.bones{i}.blocks{j}; + s = mesh.spheres{k}; + low = min(low, s.center - s.radius - 1); + high = max(high, s.center + s.radius + 1); + end + end + [X, Y, Z] = meshgrid(low(1) : 0.8 : high(1), low(2) : 0.8 : high(2), low(3) : 0.8 : high(3)); + disp(['Computing sphere SDF for bone #', num2str(i), '...']); + V = sphere_apply(mesh.spheres, mesh.bones{i}.blocks, [X(:), Y(:), Z(:)]); + V = reshape(V, size(X)); + p = patch(isosurface(X, Y, Z, V, 0)); + isonormals(X, Y, Z, V, p); + p.FaceColor = colors(i, :); + p.FaceAlpha = 0.5; + p.EdgeColor = 'none'; + if i == 2 + hold on; + end +end +hold off; +view([-90, 0]); +camlight; +view([90, 0]); +camlight; +axis equal; +grid off; +lighting gouraud; +axis off; +pause; + +% Precompute implicit skinning related values +mesh.implicit.adj_mat = adjacency_matrix(mesh.faces); +[mesh.implicit.mvc, mesh.implicit.is_on_side] = mesh_mvc(mesh); + +% Define union for palm, the rest uses bulge +blend = ones(1, length(mesh.bones)); +for i = 1:length(mesh.bones) + mesh.bones{i}.blend = 'bulge'; +end +for i = [1, 2, 15] + mesh.bones{i}.blend = 'union'; + blend(i) = 0; +end + +mesh.implicit.blend_weight = zeros(size(mesh.vertices, 1), 1); +for i = 1 : size(mesh.vertices, 1) + w = zeros(length(mesh.bones), 1); + for b = 1 : length(mesh.bones) + local = inv(axes{b}) * [mesh.vertices(i, :)'; 1]; + angle = atan2(local(3), local(2)); + w(b) = max(-sin(angle), 0); + end + mesh.implicit.blend_weight(i) = mesh.weights(i, :) * (w .* blend'); +end +v = get(gca, 'view'); +patch('Faces', mesh.faces, 'Vertices', mesh.vertices, 'FaceVertexCData', mesh.implicit.blend_weight * [1, 0.5, 0], ... + 'EdgeColor', 'none', 'FaceColor', 'interp', 'CDataMapping', 'scaled') +view([-90, 0]); +camlight; +view([90, 0]); +camlight; +axis equal; +grid off; +lighting gouraud; +axis off; +set(gca, 'view', v); +colormap hot; +pause; + +% Save mesh +save('mesh/neutral.mat', 'mesh'); +disp('neutral.mat saved'); diff --git a/matlab/test_hole.m b/matlab/test_hole.m new file mode 100644 index 0000000..a213e5b --- /dev/null +++ b/matlab/test_hole.m @@ -0,0 +1,30 @@ + +% Register gptoolbox +addpath(genpath('external')); + +% Load neutral mesh +load('mesh/neutral.mat'); + +% Fill holes of partitions +for i = 1 : length(mesh.bones) + vertices = mesh.bones{i}.vertices; + faces = mesh.bones{i}.faces; + holes = hole_find(faces); + count = size(vertices, 1); + for j = 1 : length(holes) + [vertices, faces] = hole_fill(vertices, faces, holes{j}); + end + normals = per_vertex_normals(vertices, faces); + colormap([0.8, 0.8, 0.8; 0.8, 0.5, 0.5]); + colors = [ones(count, 1); 2 * ones(size(vertices, 1) - count, 1)]; + trimesh(faces, vertices(:, 1), vertices(:, 2), vertices(:, 3), colors, 'FaceColor', [0.8, 0.8, 0.8], 'FaceAlpha', 0.5); + view([-90, 0]); + camlight; + view([90, 0]); + camlight; + axis equal; + grid off; + lighting gouraud; + axis off; + pause; +end diff --git a/matlab/test_hrbf.m b/matlab/test_hrbf.m new file mode 100644 index 0000000..6a5e08b --- /dev/null +++ b/matlab/test_hrbf.m @@ -0,0 +1,99 @@ + +% Register gptoolbox +addpath(genpath('external')); + +% Load neutral mesh and keep only a finger +load('mesh/neutral.mat'); +distances = heat_geodesic(mesh.vertices, mesh.faces, 1); +distances = max(distances) - distances; +[finger.vertices, finger.faces] = mesh_filter_vertices(mesh.vertices, mesh.faces, distances < 2); +finger.normals = per_vertex_normals(finger.vertices, finger.faces); + +% For some parts, test HRBF +phalange = mesh.bones{13}; +palm = mesh.bones{2}; +proto = mesh.bones{15}; +parts = {finger, phalange, palm, proto}; +for n = 1 : length(parts) + part = parts{n}; + + % Show mesh + trimesh(part.faces, part.vertices(:, 1), part.vertices(:, 2), part.vertices(:, 3), 'EdgeColor', 'none', 'FaceColor', [0.8, 0.8, 0.8]); + hold on; + quiver3(part.vertices(:, 1), part.vertices(:, 2), part.vertices(:, 3), part.normals(:, 1), part.normals(:, 2), part.normals(:, 3)); + hold off; + view([0, 90]); + camlight; + view([180, -90]); + camlight; + axis equal; + grid off; + lighting gouraud; + axis off; + pause; + + % Select centers and points and compute coefficients + centers = hrbf_centers(part.vertices, part.faces); + [points, normals] = hrbf_points(part.vertices, part.faces); + + % Show HRBF control points + trimesh(part.faces, part.vertices(:, 1), part.vertices(:, 2), part.vertices(:, 3), 'EdgeColor', [0.5, 0.5, 0.5], 'FaceAlpha', 0); + hold on; + for i = 1 : size(centers, 1) + [X, Y, Z] = sphere; + X = X / 4 + centers(i, 1); + Y = Y / 4 + centers(i, 2); + Z = Z / 4 + centers(i, 3); + surf(X, Y, Z, 'FaceColor', 'black'); + end + quiver3(points(:, 1), points(:, 2), points(:, 3), normals(:, 1), normals(:, 2), normals(:, 3), 'Color', [0.8, 0.5, 0.5]); + hold off; + view([0, 90]); + camlight; + view([180, -90]); + camlight; + axis equal; + grid off; + lighting gouraud; + axis off; + pause; + + % Compute coefficients + coefficients = hrbf_coefficients(centers, points, normals); + + % Show reconstruction + trimesh(part.faces, part.vertices(:, 1), part.vertices(:, 2), part.vertices(:, 3), 'EdgeColor', [0.5, 0.5, 0.5], 'FaceAlpha', 0); + hold on; + [~, gradients] = hrbf_apply(centers, coefficients, part.vertices); + quiver3(part.vertices(:, 1), part.vertices(:, 2), part.vertices(:, 3), gradients(:, 1), gradients(:, 2), gradients(:, 3), 'Color', [1.0, 0.5, 0.5]); + [X, Y, Z] = meshgrid( ... + min(part.vertices(:, 1)) - 2 : 0.2 : max(part.vertices(:, 1)) + 2, ... + min(part.vertices(:, 2)) - 2 : 0.2 : max(part.vertices(:, 2)) + 2, ... + min(part.vertices(:, 3)) - 2 : 0.2 : max(part.vertices(:, 3)) + 2 ... + ); + V = hrbf_apply(centers, coefficients, [X(:), Y(:), Z(:)]); + V = reshape(V, size(X)); + p = patch(isosurface(X, Y, Z, V, 0)); + isonormals(X, Y, Z, V, p); + p.FaceColor = [0.8, 0.5, 0.5]; + p.FaceAlpha = 0.5; + p.EdgeColor = 'none'; + for s = [-0.2, 0.4, 0.8] + p = patch(isosurface(X, Y, Z, V, s)); + isonormals(X, Y, Z, V, p); + p.FaceColor = [0.6, 0.5, 0.5]; + p.FaceAlpha = 0.1; + p.EdgeColor = 'none'; + end + hold off; + view([0, 90]); + camlight; + view([180, -90]); + camlight; + axis equal; + grid off; + lighting gouraud; + axis off; + pause; + +end diff --git a/matlab/test_operators.m b/matlab/test_operators.m new file mode 100644 index 0000000..d4c8381 --- /dev/null +++ b/matlab/test_operators.m @@ -0,0 +1,49 @@ + +N = 100; +[f1, f2] = meshgrid( ... + linspace(0, 1, N), ... + linspace(0, 1, N) ... +); + +% Union (max) +g = reshape(sdf_union(f1(:), f2(:)), size(f1)); +contourf(f1, f2, g, 32); +axis square; +hold on; +plot([0, 1], [0, 1], 'r'); +hold off; +title('Union'); +pause; + +% Implicit skinning blend +thetas = [pi / 16, pi / 8, pi / 8 + pi / 16, pi / 4 - 0.05, pi / 4]; % between 0 and pi/4 +for theta = thetas + g = reshape(sdf_blend(f1(:), f2(:), theta), size(f1)); + contourf(f1, f2, g, 32); + axis square; + hold on; + k1 = @(C) tan(theta) .* C; + k2 = @(C) 1 / 2 * (7 - 5 * tan(theta)) * C + 7 / 4 * (tan(theta) - 1); + x = [0, 1]; + plot(x, k1(x), 'r'); + plot(k1(x), x, 'r'); + plot(x, k2(x), 'r'); + plot(k2(x), x, 'r'); + axis([0, 1, 0, 1]); + hold off; + title(['Blend (theta=', num2str(theta), ')']); + pause; +end + +% Clean union +g = reshape(sdf_clean_union(f1(:), f2(:)), size(f1)); +contourf(f1, f2, g, 32); +axis square; +hold on; +x = linspace(0, 1); +plot(x, sqrt(x / 2), 'r'); +x = linspace(0, 1 / sqrt(2)); +plot(x, 2 * x .* x, 'r'); +hold off; +title('Clean union'); +pause; diff --git a/matlab/test_sphere.m b/matlab/test_sphere.m new file mode 100644 index 0000000..b37a3c6 --- /dev/null +++ b/matlab/test_sphere.m @@ -0,0 +1,37 @@ + +% Load some spheres +spheres = cell(6, 1); +spheres{1}.center = [3, 2, 1]; +spheres{1}.radius = 1; +spheres{2}.center = [-2, 0, 1.5]; +spheres{2}.radius = 2; +spheres{3}.center = [1, 1, 0]; +spheres{3}.radius = 0.5; +spheres{4}.center = [0, 0, 3]; +spheres{4}.radius = 0.8; +spheres{5}.center = [0, 0, -2]; +spheres{5}.radius = 1.5; +spheres{6}.center = [1, -3, 1]; +spheres{6}.radius = 1.2; +blocks = cell(3, 1); +blocks{1} = [1]; +blocks{2} = [2, 3]; +blocks{3} = [4, 5, 6]; + +% Show SDF +[X, Y, Z] = meshgrid(-5 : 0.25 : 5, -5 : 0.25 : 5, -5 : 0.25 : 5); +V = reshape(sphere_apply(spheres, blocks, [X(:), Y(:), Z(:)]), size(X)); +p = patch(isosurface(X, Y, Z, V, 0)); +isonormals(X, Y, Z, V, p); +p.FaceColor = 'red'; +p.FaceAlpha = 0.5; +p.EdgeColor = 'none'; +view([-90, 0]); +camlight; +view([90, 0]); +camlight; +axis equal; +grid off; +lighting gouraud; +axis off; +