#include <itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h>

Inheritance diagram for itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet, TInternalComputationValueType >:

Collaboration diagram for itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet, TInternalComputationValueType >:

Detailed Description

template<typename TPointSet, class TInternalComputationValueType = double>
class itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet, TInternalComputationValueType >

Implementation of the Jensen Havrda Charvat Tsallis Point Set metric.

Given a specified transform and direction, this class calculates the value and derivative between a "fixed" and "moving" point set pair using the Havrda-Charvat-Tsallis entropy family, a generalization of the well-known Shannon entropy, and the Jensen divergence. Another way to look at the family of information-theoretic measures is that the points are used to construct the corresponding probably density functions.

In addition, we allow the user to invoke a manifold parzen windowing of the data. Instead of an isotropic Gaussian being associated with each point, we can actually calculate the covariance matrix for each point such that it reflects the locate point set structure.

To speed up the metric calculation, we use ITK's K-d tree to query the metric value only for a given neighborhood. Considering that probably only a small subset of points is needed to get a good approximation of the metric value for a single point, this is probably warranted. So what we do is transform each point (with the specified transform) and construct the k-d tree from the transformed points.

Contributed by Nicholas J. Tustison, James C. Gee in the Insight Journal paper: https://hdl.handle.net/1926/1524

Note: The original work reported in Tustison et al. 2011 optionally employed a regularization term to prevent the moving point set(s) from coalescing to a single point location. However, within the registration framework, this term is of limited utility as such regularization is dictated by the transform and any explicit regularization terms. Also note that the published work applies to multiple points sets each of which could be considered "moving" but this is also not applicable for this particular implementation.

REFERENCE

N.J. Tustison, S. P. Awate, G. Song, T. S. Cook, and J. C. Gee. "Point set registration using Havrda-Charvat-Tsallis entropy measures" IEEE Transactions on Medical Imaging, 30(2):451-60, 2011.

Definition at line 71 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

Public Types
typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::CoordRepType	CoordRepType

typedef DensityFunctionType::Pointer	DensityFunctionPointer

typedef ManifoldParzenWindowsPointSetFunction < PointSetType, RealType >	DensityFunctionType

typedef Superclass::DerivativeType	DerivativeType

typedef Superclass::DerivativeValueType	DerivativeValueType

typedef Superclass::FixedTransformJacobianType	FixedTransformJacobianType

typedef DensityFunctionType::GaussianType	GaussianType

typedef Superclass::JacobianType	JacobianType

typedef Superclass::LocalDerivativeType	LocalDerivativeType

typedef Superclass::MeasureType	MeasureType

typedef Superclass::MovingTransformJacobianType	MovingTransformJacobianType

typedef Superclass::NeighborsIdentifierType	NeighborsIdentifierType

typedef Superclass::NumberOfParametersType	NumberOfParametersType

typedef Superclass::PixelType	PixelType

typedef SmartPointer< Self >	Pointer

typedef Superclass::PointIdentifier	PointIdentifier

typedef PointSetType::PointsContainer	PointsContainer

typedef PointsContainer::ConstIterator	PointsContainerConstIterator

typedef TPointSet	PointSetType

typedef Superclass::PointType	PointType

typedef MeasureType	RealType

typedef JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4	Self

typedef PointSetToPointSetMetricv4 < TPointSet, TPointSet, TInternalComputationValueType >	Superclass

Public Types inherited from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet, TInternalComputationValueType >
typedef SmartPointer< const Self >	ConstPointer

typedef PointType::CoordRepType	CoordRepType

typedef Superclass::DerivativeType	DerivativeType

typedef DerivativeType::ValueType	DerivativeValueType

typedef Superclass::DimensionType	DimensionType

typedef Superclass::MovingDisplacementFieldTransformType	DisplacementFieldTransformType

typedef Superclass::FixedInputPointType	FixedInputPointType

typedef Superclass::FixedOutputPointType	FixedOutputPointType

typedef TPointSet::PixelType	FixedPixelType

typedef TPointSet::PointsContainer	FixedPointsContainer

typedef TPointSet	FixedPointSetType

typedef TPointSet::PointType	FixedPointType

typedef PointSet < FixedPixelType, itkGetStaticConstMacro(PointDimension)>	FixedTransformedPointSetType

typedef Superclass::FixedTransformJacobianType	FixedTransformJacobianType

typedef Superclass::FixedTransformParametersType	FixedTransformParametersType

typedef Superclass::FixedTransformPointer	FixedTransformPointer

typedef Superclass::FixedTransformType	FixedTransformType

typedef Superclass::JacobianType	JacobianType

typedef FixedArray < DerivativeValueType, itkGetStaticConstMacro(PointDimension)>	LocalDerivativeType

typedef Superclass::MeasureType	MeasureType

typedef Superclass::MovingInputPointType	MovingInputPointType

typedef Superclass::MovingOutputPointType	MovingOutputPointType

typedef TPointSet::PixelType	MovingPixelType

typedef TPointSet::PointsContainer	MovingPointsContainer

typedef TPointSet	MovingPointSetType

typedef TPointSet::PointType	MovingPointType

typedef PointSet < MovingPixelType, itkGetStaticConstMacro(PointDimension)>	MovingTransformedPointSetType

typedef Superclass::MovingTransformJacobianType	MovingTransformJacobianType

typedef Superclass::MovingTransformParametersType	MovingTransformParametersType

typedef Superclass::MovingTransformPointer	MovingTransformPointer

typedef Superclass::MovingTransformType	MovingTransformType

typedef PointsLocatorType::NeighborsIdentifierType	NeighborsIdentifierType

typedef Superclass::NumberOfParametersType	NumberOfParametersType

typedef Superclass::ObjectType	ObjectType

typedef Superclass::ParametersType	ParametersType

typedef Superclass::ParametersValueType	ParametersValueType

typedef FixedPixelType	PixelType

typedef SmartPointer< Self >	Pointer

typedef PointsContainer::ElementIdentifier	PointIdentifier

typedef PointsContainer::ConstIterator	PointsConstIterator

typedef FixedPointsContainer	PointsContainer

typedef PointsLocator < PointsContainer >	PointsLocatorType

typedef FixedPointType	PointType

typedef PointSetToPointSetMetricv4	Self

typedef ObjectToObjectMetric < TPointSet::PointDimension, TPointSet::PointDimension, Image < TInternalComputationValueType, TPointSet::PointDimension > , TInternalComputationValueType >	Superclass

typedef Superclass::VirtualDirectionType	VirtualDirectionType

typedef Superclass::VirtualImagePointer	VirtualImagePointer

typedef Superclass::VirtualImageType	VirtualImageType

typedef Superclass::VirtualIndexType	VirtualIndexType

typedef Superclass::VirtualPointType	VirtualOriginType

typedef Superclass::VirtualPixelType	VirtualPixelType

typedef Superclass::VirtualPointSetPointer	VirtualPointSetPointer

typedef Superclass::VirtualPointSetType	VirtualPointSetType

typedef Superclass::VirtualPointType	VirtualPointType

typedef Superclass::VirtualSizeType	VirtualRadiusType

typedef Superclass::VirtualRegionType	VirtualRegionType

typedef Superclass::VirtualSizeType	VirtualSizeType

typedef Superclass::VirtualSpacingType	VirtualSpacingType

Public Types inherited from itk::ObjectToObjectMetric< TPointSet::PointDimension, TPointSet::PointDimension, Image< TInternalComputationValueType, TPointSet::PointDimension >, TInternalComputationValueType >
typedef SmartPointer< const Self >	ConstPointer

typedef TInternalComputationValueType	CoordinateRepresentationType

typedef Superclass::DerivativeType	DerivativeType

typedef Superclass::DerivativeValueType	DerivativeValueType

typedef SizeValueType	DimensionType

typedef FixedTransformType::InputPointType	FixedInputPointType

typedef FixedTransformType::OutputPointType	FixedOutputPointType

typedef FixedTransformType::JacobianType	FixedTransformJacobianType

typedef FixedTransformType::ParametersType	FixedTransformParametersType

typedef FixedTransformType::Pointer	FixedTransformPointer

typedef Transform < TInternalComputationValueType, Image < TInternalComputationValueType, TPointSet::PointDimension > ::ImageDimension, TFixedDimension >	FixedTransformType

typedef Superclass::GradientSourceType	GradientSourceType

typedef TInternalComputationValueType	InternalComputationValueType

typedef FixedTransformType::JacobianType	JacobianType

typedef Superclass::MeasureType	MeasureType

typedef Superclass::MetricCategoryType	MetricCategoryType

typedef DisplacementFieldTransform < CoordinateRepresentationType, itkGetStaticConstMacro(MovingDimension) >	MovingDisplacementFieldTransformType

typedef MovingTransformType::InputPointType	MovingInputPointType

typedef MovingTransformType::OutputPointType	MovingOutputPointType

typedef MovingTransformType::JacobianType	MovingTransformJacobianType

typedef MovingTransformType::ParametersType	MovingTransformParametersType

typedef MovingTransformType::Pointer	MovingTransformPointer

typedef Transform < TInternalComputationValueType, Image < TInternalComputationValueType, TPointSet::PointDimension > ::ImageDimension, TMovingDimension >	MovingTransformType

typedef Superclass::NumberOfParametersType	NumberOfParametersType

typedef Superclass::Object	ObjectType

typedef Superclass::ParametersType	ParametersType

typedef SmartPointer< Self >	Pointer

typedef ObjectToObjectMetric	Self

typedef ObjectToObjectMetricBaseTemplate < TInternalComputationValueType >	Superclass

typedef VirtualImageType::DirectionType	VirtualDirectionType

typedef VirtualImageType::ConstPointer	VirtualImageConstPointer

typedef VirtualImageType::Pointer	VirtualImagePointer

typedef Image < TInternalComputationValueType, TPointSet::PointDimension >	VirtualImageType

typedef VirtualImageType::IndexType	VirtualIndexType

typedef VirtualImageType::PointType	VirtualOriginType

typedef VirtualImageType::PixelType	VirtualPixelType

typedef VirtualPointSetType::Pointer	VirtualPointSetPointer

typedef PointSet < VirtualPixelType, itkGetStaticConstMacro(VirtualDimension)>	VirtualPointSetType

typedef VirtualImageType::PointType	VirtualPointType

typedef VirtualImageType::SizeType	VirtualRadiusType

typedef VirtualImageType::RegionType	VirtualRegionType

typedef VirtualRegionType::SizeType	VirtualSizeType

typedef VirtualImageType::SpacingType	VirtualSpacingType

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

typedef TInternalComputationValueType	CoordinateRepresentationType

typedef Superclass::DerivativeType	DerivativeType

typedef DerivativeType::ValueType	DerivativeValueType

enum	GradientSourceType { GRADIENT_SOURCE_FIXED =0, GRADIENT_SOURCE_MOVING, GRADIENT_SOURCE_BOTH }

typedef Superclass::MeasureType	MeasureType

enum	MetricCategoryType { UNKNOWN_METRIC = 0, OBJECT_METRIC = 1, IMAGE_METRIC = 2, POINT_SET_METRIC = 3, MULTI_METRIC = 4 }

typedef unsigned int	NumberOfParametersType

typedef ObjectType::ConstPointer	ObjectConstPointer

typedef Object	ObjectType

typedef Superclass::ParametersType	ParametersType

typedef TInternalComputationValueType	ParametersValueType

typedef SmartPointer< Self >	Pointer

typedef ObjectToObjectMetricBaseTemplate	Self

typedef SingleValuedCostFunctionv4Template < TInternalComputationValueType >	Superclass

Public Types inherited from itk::SingleValuedCostFunctionv4Template< TInternalComputationValueType >
typedef SmartPointer< const Self >	ConstPointer

typedef Array < TInternalComputationValueType >	DerivativeType

typedef TInternalComputationValueType	MeasureType

typedef Superclass::ParametersType	ParametersType

typedef SmartPointer< Self >	Pointer

typedef SingleValuedCostFunctionv4Template	Self

typedef CostFunctionTemplate < TInternalComputationValueType >	Superclass

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

typedef OptimizerParameters < TInternalComputationValueType >	ParametersType

typedef TInternalComputationValueType	ParametersValueType

typedef SmartPointer< Self >	Pointer

typedef CostFunctionTemplate	Self

typedef Object	Superclass

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
virtual RealType	GetAlpha () const

virtual unsigned int	GetCovarianceKNeighborhood () const

virtual unsigned int	GetEvaluationKNeighborhood () const

virtual RealType	GetKernelSigma () const

virtual MeasureType	GetLocalNeighborhoodValue (const PointType &point, const PixelType &pixel=0) const override

virtual void	GetLocalNeighborhoodValueAndDerivative (const PointType &, MeasureType &, LocalDerivativeType &, const PixelType &pixel=0) const override

virtual const char *	GetNameOfClass () const

virtual RealType	GetPointSetSigma () const

virtual bool	GetUseAnisotropicCovariances () const

virtual void	Initialize (void) override

virtual LightObject::Pointer	InternalClone () const override

virtual void	SetAlpha (RealType _arg)

virtual void	SetCovarianceKNeighborhood (unsigned int _arg)

virtual void	SetEvaluationKNeighborhood (unsigned int _arg)

virtual void	SetKernelSigma (RealType _arg)

virtual void	SetPointSetSigma (RealType _arg)

virtual void	SetUseAnisotropicCovariances (bool _arg)

virtual void	UseAnisotropicCovariancesOff ()

virtual void	UseAnisotropicCovariancesOn ()

Public Member Functions inherited from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet, TInternalComputationValueType >
virtual void	GetDerivative (DerivativeType &) const override

virtual const FixedTransformedPointSetType *	GetFixedTransformedPointSet () const

virtual LocalDerivativeType	GetLocalNeighborhoodDerivative (const PointType &, const PixelType &pixel) const

virtual MeasureType	GetLocalNeighborhoodValue (const PointType &, const PixelType &pixel) const =0

virtual void	GetLocalNeighborhoodValueAndDerivative (const PointType &, MeasureType &, LocalDerivativeType &, const PixelType &pixel) const =0

virtual FixedTransformedPointSetType *	GetModifiableFixedTransformedPointSet ()

virtual MovingTransformedPointSetType *	GetModifiableMovingTransformedPointSet ()

virtual const MovingTransformedPointSetType *	GetMovingTransformedPointSet () const

SizeValueType	GetNumberOfComponents () const

virtual MeasureType	GetValue () const override

virtual void	GetValueAndDerivative (MeasureType &, DerivativeType &) const override

const VirtualPointSetType *	GetVirtualTransformedPointSet () const

virtual bool	SupportsArbitraryVirtualDomainSamples (void) const override

virtual void	SetFixedObject (const ObjectType *object) override

virtual void	SetMovingObject (const ObjectType *object) override

virtual void	SetFixedPointSet (const FixedPointSetType *_arg)

virtual const FixedPointSetType *	GetFixedPointSet () const

virtual void	SetMovingPointSet (const MovingPointSetType *_arg)

virtual const MovingPointSetType *	GetMovingPointSet () const

virtual void	SetStoreDerivativeAsSparseFieldForLocalSupportTransforms (bool _arg)

virtual bool	GetStoreDerivativeAsSparseFieldForLocalSupportTransforms () const

virtual void	StoreDerivativeAsSparseFieldForLocalSupportTransformsOn ()

virtual void	StoreDerivativeAsSparseFieldForLocalSupportTransformsOff ()

virtual void	SetCalculateValueAndDerivativeInTangentSpace (bool _arg)

virtual bool	GetCalculateValueAndDerivativeInTangentSpace () const

virtual void	CalculateValueAndDerivativeInTangentSpaceOn ()

virtual void	CalculateValueAndDerivativeInTangentSpaceOff ()

Public Member Functions inherited from itk::ObjectToObjectMetric< TPointSet::PointDimension, TPointSet::PointDimension, Image< TInternalComputationValueType, TPointSet::PointDimension >, TInternalComputationValueType >
OffsetValueType	ComputeParameterOffsetFromVirtualIndex (const VirtualIndexType &index, const NumberOfParametersType &numberOfLocalParameters) const

OffsetValueType	ComputeParameterOffsetFromVirtualPoint (const VirtualPointType &point, const NumberOfParametersType &numberOfLocalParameters) const

virtual const FixedTransformType *	GetFixedTransform () const

virtual FixedTransformType *	GetModifiableFixedTransform ()

virtual MovingTransformType *	GetModifiableMovingTransform ()

virtual VirtualImageType *	GetModifiableVirtualImage ()

virtual const MovingTransformType *	GetMovingTransform () const

virtual NumberOfParametersType	GetNumberOfLocalParameters () const override

virtual NumberOfParametersType	GetNumberOfParameters () const override

virtual SizeValueType	GetNumberOfValidPoints () const

virtual const ParametersType &	GetParameters () const override

const MovingTransformType *	GetTransform ()

VirtualDirectionType	GetVirtualDirection () const

virtual const TimeStamp &	GetVirtualDomainTimeStamp () const

virtual const VirtualImageType *	GetVirtualImage () const

VirtualOriginType	GetVirtualOrigin () const

const VirtualRegionType &	GetVirtualRegion () const

VirtualSpacingType	GetVirtualSpacing () const

virtual bool	HasLocalSupport () const override

virtual void	SetFixedTransform (FixedTransformType *_arg)

virtual void	SetMovingTransform (MovingTransformType *_arg)

virtual void	SetParameters (ParametersType &params) override

void	SetTransform (MovingTransformType *transform)

void	SetVirtualDomain (const VirtualSpacingType &spacing, const VirtualOriginType &origin, const VirtualDirectionType &direction, const VirtualRegionType &region)

void	SetVirtualDomainFromImage (const VirtualImageType *virtualImage)

virtual void	UpdateTransformParameters (const DerivativeType &derivative, TInternalComputationValueTypefactor) override

bool	IsInsideVirtualDomain (const VirtualPointType &point) const

bool	IsInsideVirtualDomain (const VirtualIndexType &index) const

Public Member Functions inherited from itk::ObjectToObjectMetricBaseTemplate< TInternalComputationValueType >
MeasureType	GetCurrentValue () const

virtual GradientSourceType	GetGradientSource () const

bool	GetGradientSourceIncludesFixed () const

bool	GetGradientSourceIncludesMoving () const

virtual void	GetValueAndDerivative (MeasureType &value, DerivativeType &derivative) const override=0

virtual void	SetGradientSource (GradientSourceType _arg)

virtual const ObjectType *	GetFixedObject () const

virtual const ObjectType *	GetMovingObject () const

Public Member Functions inherited from itk::SingleValuedCostFunctionv4Template< TInternalComputationValueType >
virtual void	GetValueAndDerivative (MeasureType &value, DerivativeType &derivative) const =0

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

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

virtual 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

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 ()

Static Public Attributes
static const unsigned int	PointDimension = TPointSet::PointDimension

Static Public Attributes inherited from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet, TInternalComputationValueType >
static const DimensionType	FixedPointDimension

static const DimensionType	MovingPointDimension

static const DimensionType	PointDimension

Static Public Attributes inherited from itk::ObjectToObjectMetric< TPointSet::PointDimension, TPointSet::PointDimension, Image< TInternalComputationValueType, TPointSet::PointDimension >, TInternalComputationValueType >
static const DimensionType	FixedDimension

static const DimensionType	MovingDimension

static const DimensionType	VirtualDimension

Protected Member Functions
void	ComputeValueAndDerivative (const PointType &samplePoint, MeasureType &value, LocalDerivativeType &derivativeReturn, bool calcValue, bool calcDerivative) const

	JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4 ()

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

	~JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4 () override

Protected Member Functions inherited from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet, TInternalComputationValueType >
virtual SizeValueType	CalculateNumberOfValidFixedPoints () const

void	CalculateValueAndDerivative (MeasureType &value, DerivativeType &derivative, bool calculateValue) const

virtual MetricCategoryType	GetMetricCategory () const override

virtual void	InitializeForIteration () const

virtual void	InitializePointSets () const

void	InitializePointsLocators () const

	PointSetToPointSetMetricv4 ()

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

void	StorePointDerivative (const VirtualPointType &, const DerivativeType &, DerivativeType &) const

void	TransformFixedAndCreateVirtualPointSet () const

void	TransformMovingPointSet () const

virtual	~PointSetToPointSetMetricv4 () override

Protected Member Functions inherited from itk::ObjectToObjectMetric< TPointSet::PointDimension, TPointSet::PointDimension, Image< TInternalComputationValueType, TPointSet::PointDimension >, TInternalComputationValueType >
const MovingDisplacementFieldTransformType *	GetMovingDisplacementFieldTransform () const

	ObjectToObjectMetric ()

bool	TransformPhysicalPointToVirtualIndex (const VirtualPointType &, VirtualIndexType &) const

void	TransformVirtualIndexToPhysicalPoint (const VirtualIndexType &, VirtualPointType &) const

virtual void	VerifyDisplacementFieldSizeAndPhysicalSpace ()

bool	VerifyNumberOfValidPoints (MeasureType &value, DerivativeType &derivative) const

virtual	~ObjectToObjectMetric () override

Protected Member Functions inherited from itk::ObjectToObjectMetricBaseTemplate< TInternalComputationValueType >
	ObjectToObjectMetricBaseTemplate ()

virtual	~ObjectToObjectMetricBaseTemplate () override

Protected Member Functions inherited from itk::SingleValuedCostFunctionv4Template< TInternalComputationValueType >
	SingleValuedCostFunctionv4Template ()

virtual	~SingleValuedCostFunctionv4Template () override

Protected Member Functions inherited from itk::CostFunctionTemplate< TInternalComputationValueType >
	CostFunctionTemplate ()

virtual	~CostFunctionTemplate () 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
	LightObject ()

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

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

virtual	~LightObject ()

Private Attributes
RealType	m_Alpha

unsigned int	m_CovarianceKNeighborhood

unsigned int	m_EvaluationKNeighborhood

DensityFunctionPointer	m_FixedDensityFunction

RealType	m_KernelSigma

DensityFunctionPointer	m_MovingDensityFunction

RealType	m_PointSetSigma

RealType	m_Prefactor0

RealType	m_Prefactor1

RealType	m_TotalNumberOfPoints

bool	m_UseAnisotropicCovariances

Additional Inherited Members
Protected Types inherited from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet, TInternalComputationValueType >
typedef Superclass::MetricCategoryType	MetricCategoryType

Protected Attributes inherited from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet, TInternalComputationValueType >
bool	m_CalculateValueAndDerivativeInTangentSpace

FixedPointSetType::ConstPointer	m_FixedPointSet

FixedTransformedPointSetType::Pointer	m_FixedTransformedPointSet

PointsLocatorType::Pointer	m_FixedTransformedPointsLocator

MovingPointSetType::ConstPointer	m_MovingPointSet

MovingTransformedPointSetType::Pointer	m_MovingTransformedPointSet

PointsLocatorType::Pointer	m_MovingTransformedPointsLocator

bool	m_UsePointSetData

VirtualPointSetPointer	m_VirtualTransformedPointSet

Protected Attributes inherited from itk::ObjectToObjectMetric< TPointSet::PointDimension, TPointSet::PointDimension, Image< TInternalComputationValueType, TPointSet::PointDimension >, TInternalComputationValueType >
FixedTransformPointer	m_FixedTransform

MovingTransformPointer	m_MovingTransform

SizeValueType	m_NumberOfValidPoints

bool	m_UserHasSetVirtualDomain

VirtualImagePointer	m_VirtualImage

Protected Attributes inherited from itk::ObjectToObjectMetricBaseTemplate< TInternalComputationValueType >
ObjectConstPointer	m_FixedObject

GradientSourceType	m_GradientSource

ObjectConstPointer	m_MovingObject

MeasureType	m_Value

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