#include <itkSimplexMeshVolumeCalculator.h>

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.).

ITK Sphinx Examples:

<a href=
<a href=

Definition at line 54 of file itkSimplexMeshVolumeCalculator.h.

Inheritance diagram for itk::SimplexMeshVolumeCalculator< TInputMesh >:

Collaboration diagram for itk::SimplexMeshVolumeCalculator< TInputMesh >:

Classes
class	SimplexCellVisitor

Public Types
using	CellMultiVisitorPointer = typename CellMultiVisitorType::Pointer

using	CellMultiVisitorType = typename SimplexCellType::MultiVisitor

using	ConstPointer = SmartPointer< const Self >

using	CovariantVectorType = CovariantVector< typename VectorType::ValueType, 3 >

using	InputCellTraitsType = typename InputMeshType::MeshTraits::CellTraits

using	InputMeshConstPointer = typename InputMeshType::ConstPointer

using	InputMeshPointer = typename InputMeshType::Pointer

using	InputMeshType = TInputMesh

using	InputNeighbors = typename InputMeshType::NeighborListType

using	InputNeighborsIterator = typename InputMeshType::NeighborListType::iterator

using	InputPixelType = typename InputMeshType::PixelType

using	InputPointsContainer = typename InputMeshType::PointsContainer

using	InputPointsContainerIterator = typename InputPointsContainer::ConstIterator

using	InputPointsContainerPointer = typename InputPointsContainer::ConstPointer

using	InputPointType = typename InputMeshType::PointType

using	Pointer = SmartPointer< Self >

using	PointMapPointer = typename PointMapType::Pointer

using	PointMapType = itk::MapContainer< IdentifierType, InputPointType >

using	Self = SimplexMeshVolumeCalculator

using	SimplexCellType = typename InputMeshType::CellType

using	SimplexPolygonType = itk::PolygonCell< SimplexCellType >

using	SimplexVisitorInterfacePointer = typename SimplexVisitorInterfaceType::Pointer

using	SimplexVisitorInterfaceType = itk::CellInterfaceVisitorImplementation< InputPixelType, InputCellTraitsType, SimplexPolygonType, SimplexCellVisitor >

using	Superclass = Object

using	VectorType = typename InputPointType::VectorType

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

using	Pointer = SmartPointer< Self >

using	Self = Object

using	Superclass = LightObject

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

using	Pointer = SmartPointer< Self >

using	Self = LightObject

Public Member Functions
void	Compute ()

virtual double	GetArea () const

const char *	GetNameOfClass () const override

virtual double	GetVolume () const

virtual void	SetSimplexMesh (InputMeshType *_arg)

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

unsigned long	AddObserver (const EventObject &event, std::function< void(const EventObject &)> function) const

LightObject::Pointer	CreateAnother () const override

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

const char *	GetNameOfClass () const override

virtual const TimeStamp &	GetTimeStamp () const

bool	HasObserver (const EventObject &event) const

void	InvokeEvent (const EventObject &)

void	InvokeEvent (const EventObject &) const

virtual void	Modified () const

void	Register () const override

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag) const

void	SetDebug (bool debugFlag) const

void	SetReferenceCount (int) override

void	UnRegister () const noexcept override

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

void	SetMetaDataDictionary (MetaDataDictionary &&rrhs)

virtual void	SetObjectName (std::string _arg)

virtual const std::string &	GetObjectName () const

Public Member Functions inherited from itk::LightObject
Pointer	Clone () const

virtual Pointer	CreateAnother () const

virtual void	Delete ()

virtual const char *	GetNameOfClass () const

virtual int	GetReferenceCount () const

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

virtual void	Register () const

virtual void	SetReferenceCount (int)

virtual void	UnRegister () const noexcept

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 val)

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

static Pointer	New ()

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

	SimplexMeshVolumeCalculator ()=default

	~SimplexMeshVolumeCalculator () override=default

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

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

void	PrintSelf (std::ostream &os, Indent indent) const override

virtual void	SetTimeStamp (const TimeStamp &timeStamp)

	~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	PrintSelf (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 { 0.0 }

PointMapPointer	m_Centers {}

double	m_Kx { 0.0 }

double	m_Ky { 0.0 }

double	m_Kz { 0.0 }

IndexValueType	m_Muncx { 0 }

IndexValueType	m_Muncy { 0 }

IndexValueType	m_Muncz { 0 }

SizeValueType	m_NumberOfTriangles { 0 }

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_Wxy { 0.0 }

double	m_Wxyz { 0.0 }

double	m_Wxz { 0.0 }

double	m_Wyz { 0.0 }

Additional Inherited Members
Protected Attributes inherited from itk::LightObject
std::atomic< int >	m_ReferenceCount {}