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/*=========================================================================
Program: Insight Segmentation & Registration Toolkit
Module: $RCSfile: itkSimplexMeshVolumeCalculator.h,v $
Language: C++
Date: $Date: 2007-04-10 15:45:19 $
Version: $Revision: 1.4 $
Copyright (c) Insight Software Consortium. All rights reserved.
See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details.
This software is distributed WITHOUT ANY WARRANTY; without even
the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
PURPOSE. See the above copyright notices for more information.
=========================================================================*/
#ifndef __itkSimplexMeshVolumeCalculator_h
#define __itkSimplexMeshVolumeCalculator_h
#include <itkMesh.h>
#include <itkLineCell.h>
#include <itkPolygonCell.h>
#include <itkVertexCell.h>
#include <itkMapContainer.h>
#include "itkCovariantVector.h"
#include "itkVector.h"
#include "itkSimplexMesh.h"
#include "itkVectorContainer.h"
namespace itk
{
/** \class SimplexMeshVolumeCalculator
* \brief
*
* Adapted from itkSimplexMeshToTriangleFilter to calculate the volume of
* a simplex mesh using the barycenters and normals.
* call Compute() to calculate the volume and GetVolume() to get the
* value. For an example see itkDeformableSimplexMesh3DFilter.cxx
* (Thomas Boettger. Division Medical and Biological Informatics,
* German Cancer Research Center, Heidelberg.)
* \author Leila Baghdadi MICe, Hospital for Sick Children, Toronto, Canada.
*
* The original implementation has been replaced with an algorithm
* based on the discrete form of the divergence theorem. The general
* assumption here is that the model is of closed surface. For more
* details see the following reference (Alyassin A.M. et al,
* "Evaluation of new algorithms for the interactive measurement of
* surface area and volume", Med Phys 21(6) 1994.).
*/
template <class TInputMesh>
class ITK_EXPORT SimplexMeshVolumeCalculator : public Object
{
public:
/** Standard "Self" typedef. */
typedef SimplexMeshVolumeCalculator Self;
/** Standard "Superclass" typedef. */
typedef Object Superclass;
/** Smart pointer typedef support */
typedef SmartPointer<Self> Pointer;
typedef SmartPointer<const Self> ConstPointer;
/** Method of creation through the object factory. */
itkNewMacro(Self);
/** Run-time type information (and related methods). */
itkTypeMacro(SimplexMeshVolumeCalculator, Object);
typedef TInputMesh InputMeshType;
typedef typename InputMeshType::Pointer InputMeshPointer;
typedef typename InputMeshType::ConstPointer InputMeshConstPointer;
typedef typename InputMeshType::PointType InputPointType;
typedef typename InputMeshType::PixelType InputPixelType;
typedef typename InputMeshType::MeshTraits::CellTraits InputCellTraitsType;
typedef typename InputMeshType::PointsContainer InputPointsContainer;
typedef typename InputPointsContainer::ConstPointer InputPointsContainerPointer;
typedef typename InputPointsContainer::ConstIterator InputPointsContainerIterator;
typedef typename InputMeshType::NeighborListType InputNeighbors;
typedef typename InputMeshType::NeighborListType::iterator InputNeighborsIterator;
typedef typename InputMeshType::CellType SimplexCellType;
typedef itk::PolygonCell<SimplexCellType> SimplexPolygonType;
// stores the center for each simplex mesh cell, key is the point id
typedef itk::MapContainer<unsigned long, InputPointType> PointMapType;
typedef typename PointMapType::Pointer PointMapPointer;
typedef typename InputPointType::VectorType VectorType;
typedef CovariantVector<
typename VectorType::ValueType, 3 > CovariantVectorType;
/**
* \class SimplexCellVisitor
* This class provides methods for visiting
* each simplex cell of a simplex mesh
* It computes the center of each visited cell.
*/
class SimplexCellVisitor
{
public:
/**
* default constructor
*/
SimplexCellVisitor()
{
m_CenterMap = PointMapType::New();
}
/**
* \brief visits all polygon cells and compute the cell centers
*/
void Visit(unsigned long cellId, SimplexPolygonType * poly)
{
typedef typename SimplexPolygonType::PointIdIterator PointIdIterator;
PointIdIterator it = poly->PointIdsBegin();
InputPointType center,p;
center.Fill(0);
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;
};
typedef itk::CellInterfaceVisitorImplementation<InputPixelType,
InputCellTraitsType,
SimplexPolygonType,
SimplexCellVisitor>
SimplexVisitorInterfaceType;
typedef typename SimplexVisitorInterfaceType::Pointer SimplexVisitorInterfacePointer;
typedef typename SimplexCellType::MultiVisitor CellMultiVisitorType;
typedef typename CellMultiVisitorType::Pointer CellMultiVisitorPointer;
/** Set the input mesh. */
itkSetObjectMacro(SimplexMesh, InputMeshType);
/** Compute the volume of the entire simplex mesh. */
void Compute(void);
/** Return the computed volume. */
itkGetMacro(Volume, double);
/** Return the computed area. */
itkGetMacro(Area, double);
protected:
SimplexMeshVolumeCalculator();
virtual ~SimplexMeshVolumeCalculator();
void PrintSelf(std::ostream& os, Indent indent) const;
private:
SimplexMeshVolumeCalculator(const Self&); //purposely not implemented
void operator=(const Self&); //purposely not implemented
void Initialize();
void Finalize();
/** creates dual triangles for all simplex cells */
void CreateTriangles();
/** intermediate volume computation */
void CalculateTriangleVolume(InputPointType p1, InputPointType p2, InputPointType p3);
/** part of algorithm */
unsigned long FindCellId(unsigned long id1, unsigned long id2, unsigned long id3);
/** attribute stores the result of the simplex cell visitor */
PointMapPointer m_Centers;
InputMeshPointer m_SimplexMesh;
double m_Volume;
double m_VolumeX;
double m_VolumeY;
double m_VolumeZ;
double m_Area;
double m_Kx;
double m_Ky;
double m_Kz;
double m_Wxyz;
double m_Wxy;
double m_Wxz;
double m_Wyz;
long m_Muncx;
long m_Muncy;
long m_Muncz;
long m_NumberOfTriangles;
};
} //end of namespace
#ifndef ITK_MANUAL_INSTANTIATION
#include "itkSimplexMeshVolumeCalculator.txx"
#endif
#endif /* __SimplexMeshVolumeCalculator_h */
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