itkParameterizationQuadEdgeMeshFilter.h

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 *  Copyright Insight Software Consortium
 *
 *  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
 *
 *         http://www.apache.org/licenses/LICENSE-2.0.txt
 *
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 *  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.
 *
 *=========================================================================*/
#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_ASSIGN(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);
  itkTypeMacro(ParameterizationQuadEdgeMeshFilter, QuadEdgeMeshToQuadEdgeMeshFilter);

  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