itkDelaunayConformingQuadEdgeMeshFilter.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
 *
 *  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 "vnl/vnl_math.h"

namespace itk
{
template< typename TInputMesh, typename TOutputMesh=TInputMesh >
class DelaunayConformingQuadEdgeMeshFilter:
  public QuadEdgeMeshToQuadEdgeMeshFilter< TInputMesh, TOutputMesh >
{
public:

  typedef DelaunayConformingQuadEdgeMeshFilter Self;
  typedef QuadEdgeMeshToQuadEdgeMeshFilter< TInputMesh,
                                            TOutputMesh >                                           Superclass;
  typedef SmartPointer< Self >       Pointer;
  typedef SmartPointer< const Self > ConstPointer;

  typedef TInputMesh                              InputMeshType;
  typedef typename InputMeshType::Pointer         InputMeshPointer;
  typedef typename InputMeshType::CoordRepType    InputCoordRepType;
  typedef typename InputMeshType::PointType       InputPointType;
  typedef typename InputPointType::VectorType     InputPointVectorType;
  typedef typename InputMeshType::PointIdentifier InputPointIdentifier;
  typedef typename InputMeshType::QEType          InputQEType;
  typedef typename InputMeshType::VectorType      InputVectorType;
  typedef typename InputMeshType::EdgeListType    InputEdgeListType;
  typedef typename InputMeshType::PixelType       InputPixelType;
  typedef typename InputMeshType::Traits          InputTraits;

  itkStaticConstMacro(InputVDimension, unsigned int, InputMeshType::PointDimension);

  typedef typename InputMeshType::PointsContainer              InputPointsContainer;
  typedef typename InputMeshType::PointsContainerConstIterator InputPointsContainerConstIterator;
  typedef typename InputMeshType::CellsContainerConstIterator  InputCellsContainerConstIterator;
  typedef typename InputMeshType::EdgeCellType                 InputEdgeCellType;
  typedef typename InputMeshType::PolygonCellType              InputPolygonCellType;
  typedef typename InputMeshType::PointIdList                  InputPointIdList;

  typedef typename InputQEType::IteratorGeom InputQEIterator;

  typedef TOutputMesh                                      OutputMeshType;
  typedef typename OutputMeshType::Pointer                 OutputMeshPointer;
  typedef typename OutputMeshType::CoordRepType            OutputCoordRepType;
  typedef typename OutputMeshType::PointType               OutputPointType;
  typedef typename OutputMeshType::PointIdentifier         OutputPointIdentifier;
  typedef typename OutputMeshType::CellType                OutputCellType;
  typedef typename OutputMeshType::CellIdentifier          OutputCellIdentifier;
  typedef typename OutputMeshType::EdgeCellType            OutputEdgeCellType;
  typedef typename OutputMeshType::QEType                  OutputQEType;
  typedef typename OutputQEType::LineCellIdentifier        OutputLineCellIdentifier;
  typedef typename OutputMeshType::VectorType              OutputVectorType;
  typedef typename OutputQEType::IteratorGeom              OutputQEIterator;
  typedef typename OutputMeshType::PointsContainerPointer  OutputPointsContainerPointer;
  typedef typename OutputMeshType::PointsContainerIterator OutputPointsContainerIterator;
  typedef typename OutputMeshType::CellsContainer          OutputCellsContainer;
  typedef typename OutputMeshType::CellsContainerIterator  OutputCellsContainerIterator;

  itkStaticConstMacro(OutputVDimension, unsigned int, OutputMeshType::PointDimension);

  itkNewMacro(Self);
  itkTypeMacro(DelaunayConformingQuadEdgeMeshFilter, QuadEdgeMeshToQuadEdgeMeshFilter);

  itkGetConstMacro(NumberOfEdgeFlips, SizeValueType);

public:
  typedef std::list< OutputEdgeCellType * >         OutputEdgeCellListType;
  typedef typename OutputEdgeCellListType::iterator OutputEdgeCellListIterator;

  typedef double                                CriterionValueType;
  typedef std::pair< bool, CriterionValueType > PriorityType;

  typedef MaxPriorityQueueElementWrapper<
    OutputEdgeCellType *, PriorityType, long >            PriorityQueueItemType;

  typedef PriorityQueueContainer< PriorityQueueItemType *,
                                  ElementWrapperPointerInterface< PriorityQueueItemType * >,
                                  PriorityType,
                                  long >   PriorityQueueType;

  typedef typename PriorityQueueType::Pointer                       PriorityQueuePointer;
  typedef std::map< OutputEdgeCellType *, PriorityQueueItemType * > QueueMapType;
  typedef typename QueueMapType::iterator                           QueueMapIterator;

  typedef QuadEdgeMeshEulerOperatorFlipEdgeFunction<
    OutputMeshType, OutputQEType >                                  FlipEdgeFunctionType;
  typedef typename FlipEdgeFunctionType::Pointer FlipEdgeFunctionPointer;

  void SetListOfConstrainedEdges(const OutputEdgeCellListType & iList)
  {
    m_ListOfConstrainedEdges = iList;
  }

protected:
  DelaunayConformingQuadEdgeMeshFilter();
  virtual ~DelaunayConformingQuadEdgeMeshFilter();
  void PrintSelf(std::ostream & os, Indent indent) const ITK_OVERRIDE;

  OutputEdgeCellListType m_ListOfConstrainedEdges;
  PriorityQueuePointer   m_PriorityQueue;
  QueueMapType           m_QueueMapper;

  SizeValueType           m_NumberOfEdgeFlips;
  FlipEdgeFunctionPointer m_FlipEdge;

  void GenerateData() ITK_OVERRIDE;

  void InitializePriorityQueue();

  void Process();

  inline CriterionValueType
  Dyer07Criterion(OutputMeshType *iMesh, OutputQEType *iEdge) const
  {
    OutputPointIdentifier id1 = iEdge->GetOrigin();
    OutputPointIdentifier id2 = iEdge->GetDestination();

    OutputPointIdentifier idA = iEdge->GetLnext()->GetDestination();
    OutputPointIdentifier idB = iEdge->GetRnext()->GetOrigin();

    OutputPointType pt1 = iMesh->GetPoint(id1);
    OutputPointType pt2 = iMesh->GetPoint(id2);
    OutputPointType ptA = iMesh->GetPoint(idA);
    OutputPointType ptB = iMesh->GetPoint(idB);

    OutputVectorType v1A = ptA - pt1;
    OutputVectorType v1B = ptB - pt1;
    OutputVectorType v2A = ptA - pt2;
    OutputVectorType v2B = ptB - pt2;

    OutputCoordRepType sq_norm1A = v1A * v1A;
    OutputCoordRepType sq_norm1B = v1B * v1B;
    OutputCoordRepType sq_norm2A = v2A * v2A;
    OutputCoordRepType sq_norm2B = v2B * v2B;

    CriterionValueType dotA = static_cast< CriterionValueType >( v1A * v2A );
    CriterionValueType dotB = static_cast< CriterionValueType >( v1B * v2B );
    CriterionValueType 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) - vnl_math::pi );
  }

private:

  DelaunayConformingQuadEdgeMeshFilter(const Self &); // Purposely not
                                                      // implemented
  void operator=(const Self &);                       // Purposely not
                                                      // implemented
};                                                    //
} // end namespace itk

#include "itkDelaunayConformingQuadEdgeMeshFilter.hxx"

#endif