itkDelaunayConformingQuadEdgeMeshFilter.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.
 *
 *=========================================================================*/
#ifndef itkDelaunayConformingQuadEdgeMeshFilter_h
#define itkDelaunayConformingQuadEdgeMeshFilter_h
 
#include "itkIntTypes.h"
#include "itkPriorityQueueContainer.h"
#include "itkQuadEdgeMeshToQuadEdgeMeshFilter.h"
#include "itkQuadEdgeMeshEulerOperatorFlipEdgeFunction.h"
#include "itkMath.h"
 
namespace itk
{
template <typename TInputMesh, typename TOutputMesh = TInputMesh>
class ITK_TEMPLATE_EXPORT DelaunayConformingQuadEdgeMeshFilter
  : public QuadEdgeMeshToQuadEdgeMeshFilter<TInputMesh, TOutputMesh>
{
public:
  ITK_DISALLOW_COPY_AND_MOVE(DelaunayConformingQuadEdgeMeshFilter);
 
  using Self = DelaunayConformingQuadEdgeMeshFilter;
  using Superclass = QuadEdgeMeshToQuadEdgeMeshFilter<TInputMesh, TOutputMesh>;
  using Pointer = SmartPointer<Self>;
  using ConstPointer = SmartPointer<const Self>;
 
  using InputMeshType = TInputMesh;
  using InputMeshPointer = typename InputMeshType::Pointer;
  using InputCoordinateType = typename InputMeshType::CoordinateType;
#ifndef ITK_FUTURE_LEGACY_REMOVE
  using InputCoordRepType ITK_FUTURE_DEPRECATED(
    "ITK 6 discourages using `InputCoordRepType`. Please use `InputCoordinateType` instead!") = InputCoordinateType;
#endif
  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 OutputMeshType = TOutputMesh;
  using OutputMeshPointer = typename OutputMeshType::Pointer;
  using OutputCoordinateType = typename OutputMeshType::CoordinateType;
#ifndef ITK_FUTURE_LEGACY_REMOVE
  using OutputCoordRepType ITK_FUTURE_DEPRECATED(
    "ITK 6 discourages using `OutputCoordRepType`. Please use `OutputCoordinateType` instead!") = OutputCoordinateType;
#endif
  using OutputPointType = typename OutputMeshType::PointType;
  using OutputPointIdentifier = typename OutputMeshType::PointIdentifier;
  using OutputCellType = typename OutputMeshType::CellType;
  using OutputCellIdentifier = typename OutputMeshType::CellIdentifier;
  using OutputEdgeCellType = typename OutputMeshType::EdgeCellType;
  using OutputQEType = typename OutputMeshType::QEType;
  using OutputLineCellIdentifier = typename OutputQEType::LineCellIdentifier;
  using OutputVectorType = typename OutputMeshType::VectorType;
  using OutputQEIterator = typename OutputQEType::IteratorGeom;
  using OutputPointsContainerPointer = typename OutputMeshType::PointsContainerPointer;
  using OutputPointsContainerIterator = typename OutputMeshType::PointsContainerIterator;
  using OutputCellsContainer = typename OutputMeshType::CellsContainer;
  using OutputCellsContainerIterator = typename OutputMeshType::CellsContainerIterator;
 
  static constexpr unsigned int OutputVDimension = OutputMeshType::PointDimension;
 
  itkNewMacro(Self);
  itkOverrideGetNameOfClassMacro(DelaunayConformingQuadEdgeMeshFilter);
 
  itkGetConstMacro(NumberOfEdgeFlips, SizeValueType);
 
public:
  using OutputEdgeCellListType = std::list<OutputEdgeCellType *>;
  using OutputEdgeCellListIterator = typename OutputEdgeCellListType::iterator;
 
  using CriterionValueType = double;
  using PriorityType = std::pair<bool, CriterionValueType>;
 
  using PriorityQueueItemType = MaxPriorityQueueElementWrapper<OutputEdgeCellType *, PriorityType, long>;
 
  using PriorityQueueType = PriorityQueueContainer<PriorityQueueItemType *,
                                                   ElementWrapperPointerInterface<PriorityQueueItemType *>,
                                                   PriorityType,
                                                   long>;
 
  using PriorityQueuePointer = typename PriorityQueueType::Pointer;
  using QueueMapType = std::map<OutputEdgeCellType *, PriorityQueueItemType *>;
  using QueueMapIterator = typename QueueMapType::iterator;
 
  using FlipEdgeFunctionType = QuadEdgeMeshEulerOperatorFlipEdgeFunction<OutputMeshType, OutputQEType>;
  using FlipEdgeFunctionPointer = typename FlipEdgeFunctionType::Pointer;
 
  void
  SetListOfConstrainedEdges(const OutputEdgeCellListType & iList)
  {
    m_ListOfConstrainedEdges = iList;
  }
 
protected:
  DelaunayConformingQuadEdgeMeshFilter();
  ~DelaunayConformingQuadEdgeMeshFilter() override;
  void
  PrintSelf(std::ostream & os, Indent indent) const override;
 
  OutputEdgeCellListType m_ListOfConstrainedEdges{};
  PriorityQueuePointer   m_PriorityQueue{};
  QueueMapType           m_QueueMapper{};
 
  SizeValueType           m_NumberOfEdgeFlips{};
  FlipEdgeFunctionPointer m_FlipEdge{};
 
  void
  GenerateData() override;
 
  void
  InitializePriorityQueue();
 
  void
  Process();
 
  void
  ReassignCellData(const OutputCellIdentifier & in, const OutputCellIdentifier & out);
 
  inline CriterionValueType
  Dyer07Criterion(OutputMeshType * iMesh, OutputQEType * iEdge) const
  {
    const OutputPointIdentifier id1 = iEdge->GetOrigin();
    const OutputPointIdentifier id2 = iEdge->GetDestination();
 
    const OutputPointIdentifier idA = iEdge->GetLnext()->GetDestination();
    const OutputPointIdentifier idB = iEdge->GetRnext()->GetOrigin();
 
    const OutputPointType pt1 = iMesh->GetPoint(id1);
    const OutputPointType pt2 = iMesh->GetPoint(id2);
    const OutputPointType ptA = iMesh->GetPoint(idA);
    const OutputPointType ptB = iMesh->GetPoint(idB);
 
    const OutputVectorType v1A = ptA - pt1;
    const OutputVectorType v1B = ptB - pt1;
    const OutputVectorType v2A = ptA - pt2;
    const OutputVectorType v2B = ptB - pt2;
 
    const OutputCoordinateType sq_norm1A = v1A * v1A;
    const OutputCoordinateType sq_norm1B = v1B * v1B;
    const OutputCoordinateType sq_norm2A = v2A * v2A;
    const OutputCoordinateType sq_norm2B = v2B * v2B;
 
    auto dotA = static_cast<CriterionValueType>(v1A * v2A);
    auto dotB = static_cast<CriterionValueType>(v1B * v2B);
    auto den = static_cast<CriterionValueType>(sq_norm1A * sq_norm2A);
 
    if (den != 0.)
    {
      dotA /= std::sqrt(den);
    }
 
    if (dotA > 1.)
    {
      dotA = 1.;
    }
 
    if (dotA < -1.)
    {
      dotA = -1.;
    }
 
    den = static_cast<CriterionValueType>(sq_norm1B * sq_norm2B);
 
    if (den != 0.)
    {
      dotB /= std::sqrt(den);
    }
 
    if (dotB > 1.)
    {
      dotB = 1.;
    }
 
    if (dotB < -1.)
    {
      dotB = -1.;
    }
 
    return (std::acos(dotA) + std::acos(dotB) - itk::Math::pi);
  }
};
} // end namespace itk
 
#include "itkDelaunayConformingQuadEdgeMeshFilter.hxx"
 
#endif