itkSimplexMeshVolumeCalculator.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 itkSimplexMeshVolumeCalculator_h
#define itkSimplexMeshVolumeCalculator_h
 
#include "itkIntTypes.h"
#include "itkPolygonCell.h"
#include "itkVector.h"
#include "itkSimplexMesh.h"
#include "itkVectorContainer.h"
 
namespace itk
{
 
template <typename TInputMesh>
class ITK_TEMPLATE_EXPORT SimplexMeshVolumeCalculator : public Object
{
public:
  ITK_DISALLOW_COPY_AND_MOVE(SimplexMeshVolumeCalculator);

  using Self = SimplexMeshVolumeCalculator;

  using Superclass = Object;

  using Pointer = SmartPointer<Self>;
  using ConstPointer = SmartPointer<const Self>;

  itkNewMacro(Self);

  itkOverrideGetNameOfClassMacro(SimplexMeshVolumeCalculator);
 
  using InputMeshType = TInputMesh;
  using InputMeshPointer = typename InputMeshType::Pointer;
  using InputMeshConstPointer = typename InputMeshType::ConstPointer;
 
  using InputPointType = typename InputMeshType::PointType;
  using InputPixelType = typename InputMeshType::PixelType;
  using InputCellTraitsType = typename InputMeshType::MeshTraits::CellTraits;
 
  using InputPointsContainer = typename InputMeshType::PointsContainer;
  using InputPointsContainerPointer = typename InputPointsContainer::ConstPointer;
  using InputPointsContainerIterator = typename InputPointsContainer::ConstIterator;
 
  using InputNeighbors = typename InputMeshType::NeighborListType;
  using InputNeighborsIterator = typename InputMeshType::NeighborListType::iterator;
 
  using SimplexCellType = typename InputMeshType::CellType;
  using SimplexPolygonType = itk::PolygonCell<SimplexCellType>;
 
  // stores the center for each simplex mesh cell, key is the point id
  using PointMapType = itk::MapContainer<IdentifierType, InputPointType>;
  using PointMapPointer = typename PointMapType::Pointer;
 
  using VectorType = typename InputPointType::VectorType;
  using CovariantVectorType = CovariantVector<typename VectorType::ValueType, 3>;

  class SimplexCellVisitor
  {
  public:

    SimplexCellVisitor() { m_CenterMap = PointMapType::New(); }
    virtual ~SimplexCellVisitor() = default;

    void
    Visit(IdentifierType cellId, SimplexPolygonType * poly)
    {
      using PointIdIterator = typename SimplexPolygonType::PointIdIterator;
      PointIdIterator it = poly->PointIdsBegin();
      InputPointType  center{};
      InputPointType  p{};
 
      while (it != poly->PointIdsEnd())
      {
        m_Mesh->GetPoint(*it, &p);
        center += p.GetVectorFromOrigin();
        ++it;
      }
 
      center[0] /= poly->GetNumberOfPoints();
      center[1] /= poly->GetNumberOfPoints();
      center[2] /= poly->GetNumberOfPoints();
 
      m_CenterMap->InsertElement(cellId, center);
    }
 
    PointMapPointer
    GetCenterMap()
    {
      return m_CenterMap;
    }
 
    void
    SetMesh(InputMeshPointer mesh)
    {
      m_Mesh = mesh;
    }
 
  protected:
    InputMeshPointer m_Mesh;
    PointMapPointer  m_CenterMap;
  };
 
  using SimplexVisitorInterfaceType = itk::
    CellInterfaceVisitorImplementation<InputPixelType, InputCellTraitsType, SimplexPolygonType, SimplexCellVisitor>;
 
  using SimplexVisitorInterfacePointer = typename SimplexVisitorInterfaceType::Pointer;
  using CellMultiVisitorType = typename SimplexCellType::MultiVisitor;
  using CellMultiVisitorPointer = typename CellMultiVisitorType::Pointer;

  itkSetObjectMacro(SimplexMesh, InputMeshType);

  void
  Compute();

  itkGetConstMacro(Volume, double);

  itkGetConstMacro(Area, double);
 
protected:
  SimplexMeshVolumeCalculator() = default;
  ~SimplexMeshVolumeCalculator() override = default;
  void
  PrintSelf(std::ostream & os, Indent indent) const override;
 
private:
  void
  Initialize();
 
  void
  Finalize();

  void
  CreateTriangles();

  void
  CalculateTriangleVolume(InputPointType p1, InputPointType p2, InputPointType p3);

  IdentifierType
  FindCellId(IdentifierType id1, IdentifierType id2, IdentifierType id3);

  PointMapPointer m_Centers{};
 
  InputMeshPointer m_SimplexMesh{};
 
  double m_Volume{ 0.0 };
  double m_VolumeX{ 0.0 };
  double m_VolumeY{ 0.0 };
  double m_VolumeZ{ 0.0 };
  double m_Area{ 0.0 };
  double m_Kx{ 0.0 };
  double m_Ky{ 0.0 };
  double m_Kz{ 0.0 };
  double m_Wxyz{ 0.0 };
  double m_Wxy{ 0.0 };
  double m_Wxz{ 0.0 };
  double m_Wyz{ 0.0 };
 
  IndexValueType m_Muncx{ 0 };
  IndexValueType m_Muncy{ 0 };
  IndexValueType m_Muncz{ 0 };
 
  SizeValueType m_NumberOfTriangles{ 0 };
};
} // namespace itk
 
#ifndef ITK_MANUAL_INSTANTIATION
#  include "itkSimplexMeshVolumeCalculator.hxx"
#endif
 
#endif /* __SimplexMeshVolumeCalculator_h */