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Sample-based shaping from 2D triangle mesh #1393

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kennyweiss opened this issue Aug 7, 2024 · 0 comments
Open

Sample-based shaping from 2D triangle mesh #1393

kennyweiss opened this issue Aug 7, 2024 · 0 comments
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Quest Issues related to Axom's 'quest' component Reviewed User Request Issues related to user requests

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@kennyweiss
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A user has requested that we extend our sample-based shaping capability to include shaping from a 2D STL triangle mesh, i.e. a triangle mesh where all the triangles lie in the XY plane.

One strategy might be to use a spatial index like a BVH tree to find the candidate triangles for a given point and then check Triangle::checkInTriangle(Point). We can use a similar strategy for In/Out queries on a Tetrahedral mesh in 3D.

A different strategy might be to extrude the 2D triangle mesh in the z-direction and use our existing In/Out capability for watertight 3D STL meshes.

axom/src/axom/primal/geometry/Triangle.hpp

Lines 340 to 356 in b5fa221

/*!
* \brief Returns whether Point P is in the triangle for some 3d Triangle
* \return true iff P is in the triangle
* \see primal::Point
*/
bool checkInTriangle(const PointType& p, double eps = 1e-8) const
{
if(!axom::utilities::isNearlyEqual(ppedVolume(p), 0., eps))
{
return false;
}
Point<double, 3> bC = physToBarycentric(p);
return ((bC[0] >= (0.0 - eps)) && (bC[1] >= (0.0 - eps)) &&
(bC[2] >= (0.0 - eps)) && (bC[0] <= (1.0 + eps)) &&
(bC[1] <= (1.0 + eps)) && (bC[2] <= (1.0 + eps)));
}

Example meshes might look like:

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@kennyweiss kennyweiss added Quest Issues related to Axom's 'quest' component User Request Issues related to user requests labels Aug 7, 2024
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