diff --git a/include/itkMeshJSON.h b/include/itkMeshJSON.h
index 2905ebdbc..441771e4e 100644
--- a/include/itkMeshJSON.h
+++ b/include/itkMeshJSON.h
@@ -88,7 +88,7 @@ auto meshToMeshJSON(const TMesh * mesh, const WasmMesh<TMesh> * wasmMesh, bool i
 
   meshJSON.meshType.dimension = MeshType::PointDimension;
 
-  meshJSON.meshType.pointComponentType = wasm::MapComponentType<typename MeshType::CoordRepType>::JSONFloatTypeEnum;
+  meshJSON.meshType.pointComponentType = wasm::MapComponentType<typename MeshType::CoordinateType>::JSONFloatTypeEnum;
   using PointPixelType = typename TMesh::PixelType;
   using ConvertPointPixelTraits = MeshConvertPixelTraits<PointPixelType>;
   meshJSON.meshType.pointPixelComponentType = wasm::MapComponentType<typename ConvertPointPixelTraits::ComponentType>::JSONComponentEnum;
diff --git a/include/itkOutputMesh.h b/include/itkOutputMesh.h
index 371a8b8f0..4b3f92025 100644
--- a/include/itkOutputMesh.h
+++ b/include/itkOutputMesh.h
@@ -87,7 +87,7 @@ class ITK_TEMPLATE_EXPORT OutputMesh
         if (this->m_Mesh->GetNumberOfPoints() > 0)
         {
           const auto pointsAddress = reinterpret_cast< size_t >( &(wasmMesh->GetMesh()->GetPoints()->at(0)) );
-          const auto pointsSize = wasmMesh->GetMesh()->GetPoints()->Size() * sizeof(typename MeshType::CoordRepType) * MeshType::PointDimension;
+          const auto pointsSize = wasmMesh->GetMesh()->GetPoints()->Size() * sizeof(typename MeshType::CoordinateType) * MeshType::PointDimension;
           setMemoryStoreOutputArray(0, index, 0, pointsAddress, pointsSize);
         }
 
diff --git a/include/itkOutputPointSet.h b/include/itkOutputPointSet.h
index 7db40e72c..0289c9999 100644
--- a/include/itkOutputPointSet.h
+++ b/include/itkOutputPointSet.h
@@ -87,7 +87,7 @@ class ITK_TEMPLATE_EXPORT OutputPointSet
         if (this->m_PointSet->GetNumberOfPoints() > 0)
         {
           const auto pointsAddress = reinterpret_cast< size_t >( &(wasmPointSet->GetPointSet()->GetPoints()->at(0)) );
-          const auto pointsSize = wasmPointSet->GetPointSet()->GetPoints()->Size() * sizeof(typename PointSetType::CoordRepType) * PointSetType::PointDimension;
+          const auto pointsSize = wasmPointSet->GetPointSet()->GetPoints()->Size() * sizeof(typename PointSetType::CoordinateType) * PointSetType::PointDimension;
           setMemoryStoreOutputArray(0, index, 0, pointsAddress, pointsSize);
         }
 
diff --git a/include/itkOutputPolyData.h b/include/itkOutputPolyData.h
index 6ffe7974a..2a9d57d26 100644
--- a/include/itkOutputPolyData.h
+++ b/include/itkOutputPolyData.h
@@ -87,7 +87,7 @@ class ITK_TEMPLATE_EXPORT OutputPolyData
         if (this->m_PolyData->GetNumberOfPoints() > 0)
         {
           const auto pointsAddress = reinterpret_cast< size_t >( &(wasmPolyData->GetPolyData()->GetPoints()->at(0)) );
-          const auto pointsSize = wasmPolyData->GetPolyData()->GetPoints()->Size() * PolyDataType::PointDimension * sizeof(typename PolyDataType::CoordRepType);
+          const auto pointsSize = wasmPolyData->GetPolyData()->GetPoints()->Size() * PolyDataType::PointDimension * sizeof(typename PolyDataType::CoordinateType);
           setMemoryStoreOutputArray(0, index, 0, pointsAddress, pointsSize);
         }
 
diff --git a/include/itkPointSetJSON.h b/include/itkPointSetJSON.h
index a58bbe6f1..03f65c4db 100644
--- a/include/itkPointSetJSON.h
+++ b/include/itkPointSetJSON.h
@@ -77,7 +77,7 @@ auto pointSetToPointSetJSON(const TPointSet * pointSet, const WasmPointSet<TPoin
 
   pointSetJSON.pointSetType.dimension = PointSetType::PointDimension;
 
-  pointSetJSON.pointSetType.pointComponentType = wasm::MapComponentType<typename PointSetType::CoordRepType>::JSONFloatTypeEnum;
+  pointSetJSON.pointSetType.pointComponentType = wasm::MapComponentType<typename PointSetType::CoordinateType>::JSONFloatTypeEnum;
   using PointPixelType = typename TPointSet::PixelType;
   using ConvertPointPixelTraits = MeshConvertPixelTraits<PointPixelType>;
   pointSetJSON.pointSetType.pointPixelComponentType = wasm::MapComponentType<typename ConvertPointPixelTraits::ComponentType>::JSONComponentEnum;
diff --git a/include/itkWasmMeshToMeshFilter.hxx b/include/itkWasmMeshToMeshFilter.hxx
index 0ebe0220e..8a5f72c8a 100644
--- a/include/itkWasmMeshToMeshFilter.hxx
+++ b/include/itkWasmMeshToMeshFilter.hxx
@@ -419,7 +419,7 @@ WasmMeshToMeshFilter<TMesh>
   const std::string pointsString = meshJSON.points;
   if (numberOfPoints)
   {
-    if (pointComponentType == itk::wasm::MapComponentType<typename MeshType::CoordRepType>::JSONFloatTypeEnum)
+    if (pointComponentType == itk::wasm::MapComponentType<typename MeshType::CoordinateType>::JSONFloatTypeEnum)
     {
       const auto * pointsPtr = reinterpret_cast< PointType * >( std::strtoull(pointsString.substr(35).c_str(), nullptr, 10) );
       mesh->GetPoints()->assign(pointsPtr, pointsPtr + meshJSON.numberOfPoints);
@@ -428,14 +428,14 @@ WasmMeshToMeshFilter<TMesh>
     {
       auto * pointsPtr = reinterpret_cast< float * >( std::strtoull(pointsString.substr(35).c_str(), nullptr, 10) );
       const size_t pointComponents = numberOfPoints * dimension;
-      auto * pointsContainerPtr = reinterpret_cast<typename MeshType::CoordRepType *>(&(mesh->GetPoints()->at(0)) );
+      auto * pointsContainerPtr = reinterpret_cast<typename MeshType::CoordinateType *>(&(mesh->GetPoints()->at(0)) );
       std::copy(pointsPtr, pointsPtr + pointComponents, pointsContainerPtr);
     }
     else if (pointComponentType == itk::wasm::MapComponentType<double>::JSONFloatTypeEnum)
     {
       auto * pointsPtr = reinterpret_cast< double * >( std::strtoull(pointsString.substr(35).c_str(), nullptr, 10) );
       const size_t pointComponents = numberOfPoints * dimension;
-      auto * pointsContainerPtr = reinterpret_cast<typename MeshType::CoordRepType *>(&(mesh->GetPoints()->at(0)) );
+      auto * pointsContainerPtr = reinterpret_cast<typename MeshType::CoordinateType *>(&(mesh->GetPoints()->at(0)) );
       std::copy(pointsPtr, pointsPtr + pointComponents, pointsContainerPtr);
     }
     else
diff --git a/include/itkWasmPointSetToPointSetFilter.hxx b/include/itkWasmPointSetToPointSetFilter.hxx
index a756bf2f5..cc1ca300a 100644
--- a/include/itkWasmPointSetToPointSetFilter.hxx
+++ b/include/itkWasmPointSetToPointSetFilter.hxx
@@ -173,7 +173,7 @@ WasmPointSetToPointSetFilter<TPointSet>
   const std::string pointsString = pointSetJSON.points;
   if (numberOfPoints)
   {
-    if (pointComponentType == itk::wasm::MapComponentType<typename PointSetType::CoordRepType>::JSONFloatTypeEnum)
+    if (pointComponentType == itk::wasm::MapComponentType<typename PointSetType::CoordinateType>::JSONFloatTypeEnum)
     {
       const auto * pointsPtr = reinterpret_cast< PointType * >( std::strtoull(pointsString.substr(35).c_str(), nullptr, 10) );
       pointSet->GetPoints()->assign(pointsPtr, pointsPtr + pointSetJSON.numberOfPoints);
@@ -182,14 +182,14 @@ WasmPointSetToPointSetFilter<TPointSet>
     {
       auto * pointsPtr = reinterpret_cast< float * >( std::strtoull(pointsString.substr(35).c_str(), nullptr, 10) );
       const size_t pointComponents = numberOfPoints * dimension;
-      auto * pointsContainerPtr = reinterpret_cast<typename PointSetType::CoordRepType *>(&(pointSet->GetPoints()->at(0)) );
+      auto * pointsContainerPtr = reinterpret_cast<typename PointSetType::CoordinateType *>(&(pointSet->GetPoints()->at(0)) );
       std::copy(pointsPtr, pointsPtr + pointComponents, pointsContainerPtr);
     }
     else if (pointComponentType == itk::wasm::MapComponentType<double>::JSONFloatTypeEnum)
     {
       auto * pointsPtr = reinterpret_cast< double * >( std::strtoull(pointsString.substr(35).c_str(), nullptr, 10) );
       const size_t pointComponents = numberOfPoints * dimension;
-      auto * pointsContainerPtr = reinterpret_cast<typename PointSetType::CoordRepType *>(&(pointSet->GetPoints()->at(0)) );
+      auto * pointsContainerPtr = reinterpret_cast<typename PointSetType::CoordinateType *>(&(pointSet->GetPoints()->at(0)) );
       std::copy(pointsPtr, pointsPtr + pointComponents, pointsContainerPtr);
     }
     else