itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet > Class Template Reference

#include <itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h>

Inheritance diagram for itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >:

Collaboration diagram for itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >:

List of all members.

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 DensityFunctionType::GaussianType	GaussianType
typedef Superclass::LocalDerivativeType	LocalDerivativeType
typedef Superclass::MeasureType	MeasureType
typedef Superclass::NeighborsIdentifierType	NeighborsIdentifierType
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 >	Superclass
Public Member Functions
virtual ::itk::LightObject::Pointer	CreateAnother (void) const
virtual RealType	GetAlpha () const
virtual unsigned int	GetCovarianceKNeighborhood () const
virtual void	GetDerivative (DerivativeType &) const
virtual unsigned int	GetEvaluationKNeighborhood () const
virtual RealType	GetKernelSigma () const
virtual void	GetLocalNeighborhoodValueAndDerivative (const PointType &, MeasureType &, LocalDerivativeType &) const
virtual const char *	GetNameOfClass () const
virtual RealType	GetPointSetSigma () const
virtual bool	GetUseAnisotropicCovariances () const
virtual bool	GetUseRegularizationTerm () const
virtual MeasureType	GetValue () const
virtual void	GetValueAndDerivative (MeasureType &, DerivativeType &) const
virtual void	Initialize (void) throw ( ExceptionObject )
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	SetUseRegularizationTerm (bool _arg)
virtual void	UseAnisotropicCovariancesOff ()
virtual void	UseAnisotropicCovariancesOn ()
virtual void	UseRegularizationTermOff ()
virtual void	UseRegularizationTermOn ()
virtual MeasureType	GetLocalNeighborhoodValue (const PointType &) const
Static Public Member Functions
static Pointer	New ()
Static Public Attributes
static const unsigned int	PointDimension = TPointSet::PointDimension
Protected Member Functions
	JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4 ()
void	PrintSelf (std::ostream &os, Indent indent) const
	~JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4 ()
Private Member Functions
	JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4 (const Self &)
void	operator= (const Self &)
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
bool	m_UseAnisotropicCovariances
bool	m_UseRegularizationTerm

---

Detailed Description

template<class TPointSet>
class itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >

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: http://hdl.handle.net/1926/1524

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 62 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

---

Member Typedef Documentation

template<class TPointSet >

typedef SmartPointer<const Self> itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::ConstPointer

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

Definition at line 70 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

typedef Superclass::CoordRepType itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::CoordRepType

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

Definition at line 89 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

typedef DensityFunctionType::Pointer itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::DensityFunctionPointer

Definition at line 101 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

typedef ManifoldParzenWindowsPointSetFunction<PointSetType, RealType> itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::DensityFunctionType

Other typedefs

Definition at line 99 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

typedef Superclass::DerivativeType itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::DerivativeType

Type of the derivative.

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

Definition at line 86 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

typedef DensityFunctionType::GaussianType itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::GaussianType

Definition at line 100 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

typedef Superclass::LocalDerivativeType itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::LocalDerivativeType

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

Definition at line 87 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

typedef Superclass::MeasureType itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::MeasureType

Types transferred from the base class

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

Definition at line 85 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

typedef Superclass::NeighborsIdentifierType itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::NeighborsIdentifierType

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

Definition at line 91 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

typedef SmartPointer<Self> itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::Pointer

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

Definition at line 69 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

typedef Superclass::PointIdentifier itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::PointIdentifier

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

Definition at line 90 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

typedef PointSetType::PointsContainer itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::PointsContainer

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

Definition at line 79 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

typedef PointsContainer::ConstIterator itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::PointsContainerConstIterator

Definition at line 80 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

typedef TPointSet itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::PointSetType

Definition at line 76 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

typedef Superclass::PointType itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::PointType

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

Definition at line 88 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

typedef MeasureType itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::RealType

Definition at line 93 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

typedef JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4 itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::Self

Standard class typedefs.

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

Definition at line 67 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

typedef PointSetToPointSetMetricv4<TPointSet, TPointSet> itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::Superclass

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

Definition at line 68 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

---

Constructor & Destructor Documentation

template<class TPointSet >

itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4

(

)

[protected]

template<class TPointSet >

itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::~JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4

(

)

[protected]

template<class TPointSet >

itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4

(

const Self &

)

[private]

---

Member Function Documentation

template<class TPointSet >

virtual::itk::LightObject::Pointer itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::CreateAnother

(

void

)

const [virtual]

Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class.

Reimplemented from itk::Object.

template<class TPointSet >

virtual RealType itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::GetAlpha

(

)

const [virtual]

Get the alpha parameter used to tune the point-set metric.

template<class TPointSet >

virtual unsigned int itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::GetCovarianceKNeighborhood

(

)

const [virtual]

Get the size of the covariance neighborhood used to construct the anisotropic covariances. Only relevant if m_UseAnisotropicCovariances = true. Default = 5.

template<class TPointSet >

virtual void itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::GetDerivative

(

DerivativeType &

)

const [virtual]

This method returns the derivative based on the current transformation(s).

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

template<class TPointSet >

virtual unsigned int itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::GetEvaluationKNeighborhood

(

)

const [virtual]

Get the neighborhood size used to evaluate the measurement at each point. Default = 50.

template<class TPointSet >

virtual RealType itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::GetKernelSigma

(

)

const [virtual]

Get the noise kernel sigma for the anistropic covariances.

template<class TPointSet >

virtual MeasureType itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::GetLocalNeighborhoodValue

(

const PointType &

)

const [inline, virtual]

Pure virtual function from the parent class not needed in this class

Definition at line 223 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

virtual void itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::GetLocalNeighborhoodValueAndDerivative	(	const PointType &	,
		MeasureType &	,
		LocalDerivativeType &
	)		const [inline, virtual]

Pure virtual function from the parent class not needed in this class

Definition at line 231 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

virtual const char* itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::GetNameOfClass

(

)

const [virtual]

Run-time type information (and related methods)

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

template<class TPointSet >

virtual RealType itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::GetPointSetSigma

(

)

const [virtual]

Get the point set sigma function

template<class TPointSet >

virtual bool itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::GetUseAnisotropicCovariances

(

)

const [virtual]

Get whether or not anisotropic covariances are determined for each Gaussian. Default = false.

template<class TPointSet >

virtual bool itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::GetUseRegularizationTerm

(

)

const [virtual]

Get boolean usage of regularization term.

template<class TPointSet >

virtual MeasureType itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::GetValue

(

)

const [virtual]

This method returns the value of the metric based on the current transformation(s).

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

template<class TPointSet >

virtual void itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::GetValueAndDerivative	(	MeasureType &	,
		DerivativeType &
	)		const [virtual]

This method returns the derivative and value based on the current transformation(s).

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

template<class TPointSet >

virtual void itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::Initialize

(

void

)

throw ( ExceptionObject ) [virtual]

Initialize the Metric by making sure that all the components are present and plugged together correctly

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

template<class TPointSet >

static Pointer itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::New

(

)

[static]

Method for creation through the object factory.

Reimplemented from itk::Object.

template<class TPointSet >

void itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::operator=

(

const Self &

)

[private]

Mutex lock to protect modification to the reference count

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

template<class TPointSet >

void itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const [protected, virtual]

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

template<class TPointSet >

virtual void itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::SetAlpha

(

RealType

_arg

)

[virtual]

Set the alpha parameter used to tune the point-set metric from a maximum-likelihood measure (alpha = 1) to the more robust L2 solution (alpha = 2). Typically, "robustness" is associated with performance in the presence of uniform noise but in most applications the noise will be highly correlated with the point sets, therefore an alpha value close to 1, in general, provides better performance. Only values between 1 and 2 are convex.

template<class TPointSet >

virtual void itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::SetCovarianceKNeighborhood

(

unsigned int

_arg

)

[virtual]

Set the size of the covariance neighborhood used to construct the anisotropic covariances. Only relevant if m_UseAnisotropicCovariances = true. Default = 5.

template<class TPointSet >

virtual void itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::SetEvaluationKNeighborhood

(

unsigned int

_arg

)

[virtual]

Set the neighborhood size used to evaluate the measurement at each point. Default = 50.

template<class TPointSet >

virtual void itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::SetKernelSigma

(

RealType

_arg

)

[virtual]

Set the size of the noise kernel used to construct each covariance image. To avoid the case where the local point set structure would result in a degenerate covariance matrix, a small amount of noise is added along the diagonal represented by this variable. Only relevant if m_UseAnisotropicCovariances = true. Default = 10.0.

template<class TPointSet >

virtual void itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::SetPointSetSigma

(

RealType

_arg

)

[virtual]

Each point is associated with a Gaussian characterized by m_PointSetSigma which provides a sense of scale for determining the similarity between two point sets. Default = 1.0.

template<class TPointSet >

virtual void itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::SetUseAnisotropicCovariances

(

bool

_arg

)

[virtual]

Set whether or not anisotropic covariances are determined for each Gaussian. Default = false.

template<class TPointSet >

virtual void itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::SetUseRegularizationTerm

(

bool

_arg

)

[virtual]

The Jensen divergence is comprised of two terms---one measures the mutual similarity while the second provides a regularizing effect penalizing tendencies towards a single point. For most registration applications, a separate transform would be used which would provide its own regularization. Default = false.

template<class TPointSet >

virtual void itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::UseAnisotropicCovariancesOff

(

)

[virtual]

template<class TPointSet >

virtual void itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::UseAnisotropicCovariancesOn

(

)

[virtual]

Get/set whether or not anisotropic covariances are determined for each Gaussian. Default = false.

template<class TPointSet >

virtual void itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::UseRegularizationTermOff

(

)

[virtual]

template<class TPointSet >

virtual void itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::UseRegularizationTermOn

(

)

[virtual]

Get/set boolean usage of regularization term.

---

Member Data Documentation

template<class TPointSet >

RealType itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::m_Alpha [private]

Definition at line 259 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

unsigned int itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::m_CovarianceKNeighborhood [private]

Definition at line 256 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

unsigned int itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::m_EvaluationKNeighborhood [private]

Definition at line 257 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

DensityFunctionPointer itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::m_FixedDensityFunction [private]

Definition at line 249 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

RealType itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::m_KernelSigma [private]

Definition at line 255 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

DensityFunctionPointer itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::m_MovingDensityFunction [private]

Definition at line 248 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

RealType itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::m_PointSetSigma [private]

Definition at line 254 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

bool itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::m_UseAnisotropicCovariances [private]

Definition at line 252 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

bool itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::m_UseRegularizationTerm [private]

Definition at line 251 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

template<class TPointSet >

const unsigned int itk::JensenHavrdaCharvatTsallisPointSetToPointSetMetricv4< TPointSet >::PointDimension = TPointSet::PointDimension [static]

typedefs for the data types used in the point set metric calculations. It is assumed that the constants of the fixed point set, such as the point dimension, are the same for the "common space" in which the metric calculation occurs.

Reimplemented from itk::PointSetToPointSetMetricv4< TPointSet, TPointSet >.

Definition at line 82 of file itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h.

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The documentation for this class was generated from the following file:

• itkJensenHavrdaCharvatTsallisPointSetToPointSetMetricv4.h