STYLE: CoordRepType -> CoordinateType code readability

For the sake of code readability, a new 'CoordinateType' alias is added for
each nested 'CoordRepType' alias. The old 'CoordRepType' aliases will still be
available with ITK 6.0, but it is recommended to use 'CoordinateType' instead.
The 'CoordRepType' aliases will be removed when 'ITK_FUTURE_LEGACY_REMOVE' is
enabled. Similarly, 'InputCoordinateType', 'OutputCoordinateType', and
'ImagePointCoordinateType' replace 'InputCoordRepType', 'OutputCoordRepType',
and 'ImagePointCoordRepType', respectively.

include/itkTileMergeImageFilter.h

@@ -49,15 +49,15 @@ template <typename TImageType,
 class ITK_TEMPLATE_EXPORT TileMergeImageFilter
   : public TileMontage<
       Image<typename NumericTraits<typename TImageType::PixelType>::ValueType, TImageType::ImageDimension>,
-      typename TInterpolator::CoordRepType>
+      typename TInterpolator::CoordinateType>
 {
 public:
   ITK_DISALLOW_COPY_AND_MOVE(TileMergeImageFilter);
 
   /** We define superclass with scalar pixel type, to enable compiling even when RGB pixel is supplied. */
   using Superclass =
     TileMontage<Image<typename NumericTraits<typename TImageType::PixelType>::ValueType, TImageType::ImageDimension>,
-                typename TInterpolator::CoordRepType>;
+                typename TInterpolator::CoordinateType>;
 
   /** Standard class type aliases. */
   using Self = TileMergeImageFilter;

include/itkTileMergeImageFilter.hxx

@@ -265,10 +265,10 @@ TileMergeImageFilter<TImageType, TPixelAccumulateType, TInterpolator>::GenerateO
   if (m_Montage.IsNull())
   {
     // initialize mosaic bounds
-    this->m_MinInner.Fill(NumericTraits<typename TInterpolator::CoordRepType>::NonpositiveMin());
-    this->m_MinOuter.Fill(NumericTraits<typename TInterpolator::CoordRepType>::max());
-    this->m_MaxOuter.Fill(NumericTraits<typename TInterpolator::CoordRepType>::NonpositiveMin());
-    this->m_MaxInner.Fill(NumericTraits<typename TInterpolator::CoordRepType>::max());
+    this->m_MinInner.Fill(NumericTraits<typename TInterpolator::CoordinateType>::NonpositiveMin());
+    this->m_MinOuter.Fill(NumericTraits<typename TInterpolator::CoordinateType>::max());
+    this->m_MaxOuter.Fill(NumericTraits<typename TInterpolator::CoordinateType>::NonpositiveMin());
+    this->m_MaxInner.Fill(NumericTraits<typename TInterpolator::CoordinateType>::max());
 
     for (SizeValueType i = 0; i < this->m_LinearMontageSize; i++)
     {
@@ -315,7 +315,7 @@ TileMergeImageFilter<TImageType, TPixelAccumulateType, TInterpolator>::GenerateO
     iOrigin = inverseT->TransformPoint(iOrigin);
 
     const ContinuousIndexType ci =
-      outputImage->template TransformPhysicalPointToContinuousIndex<typename TInterpolator::CoordRepType,
+      outputImage->template TransformPhysicalPointToContinuousIndex<typename TInterpolator::CoordinateType,
                                                                     typename PointType::ValueType>(iOrigin);
     for (unsigned d = 0; d < ImageDimension; d++)
     {