itkParameterizationQuadEdgeMeshFilter.h

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 *
 *  Copyright NumFOCUS
 *
 *  Licensed under the Apache License, Version 2.0 (the "License");
 *  you may not use this file except in compliance with the License.
 *  You may obtain a copy of the License at
 *
 *         https://www.apache.org/licenses/LICENSE-2.0.txt
 *
 *  Unless required by applicable law or agreed to in writing, software
 *  distributed under the License is distributed on an "AS IS" BASIS,
 *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 *  See the License for the specific language governing permissions and
 *  limitations under the License.
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 *=========================================================================*/
#ifndef itkParameterizationQuadEdgeMeshFilter_h
#define itkParameterizationQuadEdgeMeshFilter_h
 
#include "itkBorderQuadEdgeMeshFilter.h"
#include "itkQuadEdgeMeshParamMatrixCoefficients.h"
 
namespace itk
{
 
template <typename TInputMesh, typename TOutputMesh, typename TSolverTraits>
class ITK_TEMPLATE_EXPORT ParameterizationQuadEdgeMeshFilter
  : public QuadEdgeMeshToQuadEdgeMeshFilter<TInputMesh, TOutputMesh>
{
public:
  ITK_DISALLOW_COPY_AND_MOVE(ParameterizationQuadEdgeMeshFilter);
 
  using Self = ParameterizationQuadEdgeMeshFilter;
  using Superclass = QuadEdgeMeshToQuadEdgeMeshFilter<TInputMesh, TOutputMesh>;
  using Pointer = SmartPointer<Self>;
  using ConstPointer = SmartPointer<const Self>;
 
  using InputMeshType = TInputMesh;
  using InputMeshPointer = typename InputMeshType::Pointer;
  using InputMeshConstPointer = typename InputMeshType::ConstPointer;
  using InputCoordRepType = typename InputMeshType::CoordRepType;
  using InputPointType = typename InputMeshType::PointType;
  using InputPointVectorType = typename InputPointType::VectorType;
  using InputPointIdentifier = typename InputMeshType::PointIdentifier;
  using InputQEType = typename InputMeshType::QEType;
  using InputVectorType = typename InputMeshType::VectorType;
  using InputEdgeListType = typename InputMeshType::EdgeListType;
  using InputPixelType = typename InputMeshType::PixelType;
  using InputTraits = typename InputMeshType::Traits;
 
  static constexpr unsigned int InputVDimension = InputMeshType::PointDimension;
 
  using InputPointsContainer = typename InputMeshType::PointsContainer;
  using InputPointsContainerConstIterator = typename InputMeshType::PointsContainerConstIterator;
 
  using InputCellsContainerConstIterator = typename InputMeshType::CellsContainerConstIterator;
  using InputEdgeCellType = typename InputMeshType::EdgeCellType;
  using InputPolygonCellType = typename InputMeshType::PolygonCellType;
  using InputPointIdList = typename InputMeshType::PointIdList;
 
  using InputQEIterator = typename InputQEType::IteratorGeom;
 
  using InputMapPointIdentifier = std::map<InputPointIdentifier, InputPointIdentifier>;
  using InputMapPointIdentifierIterator = typename InputMapPointIdentifier::iterator;
 
  using OutputMeshType = TOutputMesh;
  using OutputMeshPointer = typename OutputMeshType::Pointer;
  using OutputMeshConstPointer = typename OutputMeshType::ConstPointer;
  using OutputCoordRepType = typename OutputMeshType::CoordRepType;
  using OutputPointType = typename OutputMeshType::PointType;
  using OutputPointIdentifier = typename OutputMeshType::PointIdentifier;
  using OutputQEType = typename OutputMeshType::QEType;
  using OutputVectorType = typename OutputMeshType::VectorType;
  using OutputQEIterator = typename OutputQEType::IteratorGeom;
  using OutputPointsContainerIterator = typename OutputMeshType::PointsContainerIterator;
 
  static constexpr unsigned int OutputVDimension = OutputMeshType::PointDimension;
 
  using SolverTraits = TSolverTraits;
  using ValueType = typename SolverTraits::ValueType;
  using MatrixType = typename SolverTraits::MatrixType;
  using VectorType = typename SolverTraits::VectorType;
 
  using MeshBorderTransform = BorderQuadEdgeMeshFilter<InputMeshType, InputMeshType>;
  using MeshBorderTransformPointer = typename MeshBorderTransform::Pointer;
 
  using CoefficientsComputation = MatrixCoefficients<InputMeshType>;
 
public:
  void
  SetCoefficientsMethod(CoefficientsComputation * iMethod)
  {
    this->m_CoefficientsMethod = iMethod;
  }
 
  itkNewMacro(Self);
  itkOverrideGetNameOfClassMacro(ParameterizationQuadEdgeMeshFilter);
 
  itkSetObjectMacro(BorderTransform, MeshBorderTransform);
  itkGetModifiableObjectMacro(BorderTransform, MeshBorderTransform);
 
protected:
  ParameterizationQuadEdgeMeshFilter();
  ~ParameterizationQuadEdgeMeshFilter() override = default;
  void
  PrintSelf(std::ostream & os, Indent indent) const override;
 
  CoefficientsComputation * m_CoefficientsMethod{};
 
  MeshBorderTransformPointer m_BorderTransform{};
 
  // first is the id of the input mesh and second is the corresponding id
  // in m_BoundaryPtMap
  InputMapPointIdentifier m_BoundaryPtMap{};
 
  // first is the id of the input mesh and second is the corresponding id
  // in m_InternalPtList
  InputMapPointIdentifier m_InternalPtMap{};
 
  std::vector<OutputPointType> m_Border{};
 
  void
  CopyToOutputBorder();
 
  void
  ComputeListOfInteriorVertices();
 
  void
  FillMatrix(MatrixType & iM, VectorType & ioBx, VectorType & ioBy);
 
  void
  SolveLinearSystems(const MatrixType & iM,
                     const VectorType & iBx,
                     const VectorType & iBy,
                     VectorType &       oX,
                     VectorType &       oY);
 
  void
  GenerateData() override;
 
private:
};
} // end namespace itk
 
#include "itkParameterizationQuadEdgeMeshFilter.hxx"
 
#endif