Detailed Description

template<typename TInputMesh>
class itk::SimplexMeshVolumeCalculator< TInputMesh >

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.).

Examples:: WikiExamples/Meshes/AreaAndVolume.cxx.

Definition at line 50 of file itkSimplexMeshVolumeCalculator.h.

Classes
class	SimplexCellVisitor

Public Types
typedef CellMultiVisitorType::Pointer	CellMultiVisitorPointer

typedef SimplexCellType::MultiVisitor	CellMultiVisitorType

typedef SmartPointer< const Self >	ConstPointer

typedef CovariantVector < typename VectorType::ValueType, 3 >	CovariantVectorType

typedef InputMeshType::MeshTraits::CellTraits	InputCellTraitsType

typedef InputMeshType::ConstPointer	InputMeshConstPointer

typedef InputMeshType::Pointer	InputMeshPointer

typedef TInputMesh	InputMeshType

typedef InputMeshType::NeighborListType	InputNeighbors

typedef InputMeshType::NeighborListType::iterator	InputNeighborsIterator

typedef InputMeshType::PixelType	InputPixelType

typedef InputMeshType::PointsContainer	InputPointsContainer

typedef InputPointsContainer::ConstIterator	InputPointsContainerIterator

typedef InputPointsContainer::ConstPointer	InputPointsContainerPointer

typedef InputMeshType::PointType	InputPointType

typedef SmartPointer< Self >	Pointer

typedef PointMapType::Pointer	PointMapPointer

typedef itk::MapContainer < IdentifierType, InputPointType >	PointMapType

typedef SimplexMeshVolumeCalculator	Self

typedef InputMeshType::CellType	SimplexCellType

typedef itk::PolygonCell < SimplexCellType >	SimplexPolygonType

typedef SimplexVisitorInterfaceType::Pointer	SimplexVisitorInterfacePointer

typedef itk::CellInterfaceVisitorImplementation < InputPixelType, InputCellTraitsType, SimplexPolygonType, SimplexCellVisitor >	SimplexVisitorInterfaceType

typedef Object	Superclass

typedef InputPointType::VectorType	VectorType

Public Types inherited from itk::Object
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef Object	Self

typedef LightObject	Superclass

Public Types inherited from itk::LightObject
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef LightObject	Self

Public Member Functions
void	Compute ()

virtual ::itk::LightObject::Pointer	CreateAnother () const

virtual double	GetArea () const

virtual const char *	GetNameOfClass () const

virtual double	GetVolume () const

virtual void	SetSimplexMesh (InputMeshType *_arg)

Public Member Functions inherited from itk::Object
unsigned long	AddObserver (const EventObject &event, Command *)

unsigned long	AddObserver (const EventObject &event, Command *) const

virtual void	DebugOff () const

virtual void	DebugOn () const

Command *	GetCommand (unsigned long tag)

bool	GetDebug () const

MetaDataDictionary &	GetMetaDataDictionary ()

const MetaDataDictionary &	GetMetaDataDictionary () const

virtual ModifiedTimeType	GetMTime () const

virtual const TimeStamp &	GetTimeStamp () const

bool	HasObserver (const EventObject &event) const

void	InvokeEvent (const EventObject &)

void	InvokeEvent (const EventObject &) const

virtual void	Modified () const

virtual void	Register () const override

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag)

void	SetDebug (bool debugFlag) const

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

virtual void	SetReferenceCount (int) override

virtual void	UnRegister () const noexceptoverride

virtual void	SetObjectName (std::string _arg)

virtual const std::string &	GetObjectName () const

Public Member Functions inherited from itk::LightObject
virtual void	Delete ()

virtual int	GetReferenceCount () const

	itkCloneMacro (Self)

void	Print (std::ostream &os, Indent indent=0) const

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::Object
static bool	GetGlobalWarningDisplay ()

static void	GlobalWarningDisplayOff ()

static void	GlobalWarningDisplayOn ()

static Pointer	New ()

static void	SetGlobalWarningDisplay (bool flag)

Static Public Member Functions inherited from itk::LightObject
static void	BreakOnError ()

static Pointer	New ()

Protected Member Functions
virtual void	PrintSelf (std::ostream &os, Indent indent) const override

	SimplexMeshVolumeCalculator ()

virtual	~SimplexMeshVolumeCalculator () override

Protected Member Functions inherited from itk::Object
	Object ()

bool	PrintObservers (std::ostream &os, Indent indent) const

virtual void	SetTimeStamp (const TimeStamp &time)

virtual	~Object () override

Protected Member Functions inherited from itk::LightObject
virtual LightObject::Pointer	InternalClone () const

	LightObject ()

virtual void	PrintHeader (std::ostream &os, Indent indent) const

virtual void	PrintTrailer (std::ostream &os, Indent indent) const

virtual	~LightObject ()

Private Member Functions
void	CalculateTriangleVolume (InputPointType p1, InputPointType p2, InputPointType p3)

void	CreateTriangles ()

void	Finalize ()

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

void	Initialize ()

Private Attributes
double	m_Area

PointMapPointer	m_Centers

double	m_Kx

double	m_Ky

double	m_Kz

IndexValueType	m_Muncx

IndexValueType	m_Muncy

IndexValueType	m_Muncz

SizeValueType	m_NumberOfTriangles

InputMeshPointer	m_SimplexMesh

double	m_Volume

double	m_VolumeX

double	m_VolumeY

double	m_VolumeZ

double	m_Wxy

double	m_Wxyz

double	m_Wxz

double	m_Wyz

Additional Inherited Members
Protected Attributes inherited from itk::LightObject
AtomicInt< int >	m_ReferenceCount