#include <itkGaussianMembershipFunction.h>

Inheritance diagram for itk::Statistics::GaussianMembershipFunction< TMeasurementVector >:

Collaboration diagram for itk::Statistics::GaussianMembershipFunction< TMeasurementVector >:

Detailed Description

template<class TMeasurementVector>
class itk::Statistics::GaussianMembershipFunction< TMeasurementVector >

GaussianMembershipFunction models class membership through a multivariate Gaussian function.

GaussianMembershipFunction is a subclass of MembershipFunctionBase that models class membership (or likelihood) using a multivariate Gaussian function. The mean and covariance structure of the Gaussian are established using the methods SetMean() and SetCovariance(). The mean is a vector-type that is the same vector-type as the measurement vector but guaranteed to have a real element type. For instance, if the measurement type is an Vector<int,3>, then the mean is Vector<double,3>. If the measurement type is a VariableLengthVector<float>, then the mean is VariableLengthVector<double>. In contrast to this behavior, the covariance is always a VariableSizeMatrix<double>.

If the covariance is singular or nearly singular, the membership function behaves somewhat like an impulse located at the mean. In this case, we specify the covariance to be a diagonal matrix with large values along the diagonal. This membership function, therefore, will return small but differentiable values everywher and increase sharply near the mean.

Definition at line 55 of file itkGaussianMembershipFunction.h.

Public Types
typedef SmartPointer< const Self >	ConstPointer

typedef VariableSizeMatrix < double >	CovarianceMatrixType

typedef MeasurementVectorRealType	MeanVectorType

typedef itk::NumericTraits < MeasurementVectorType > ::RealType	MeasurementVectorRealType

typedef Superclass::MeasurementVectorSizeType	MeasurementVectorSizeType

typedef TMeasurementVector	MeasurementVectorType

typedef Superclass::Pointer	MembershipFunctionPointer

typedef SmartPointer< Self >	Pointer

typedef GaussianMembershipFunction	Self

typedef MembershipFunctionBase < TMeasurementVector >	Superclass

Public Types inherited from itk::Statistics::MembershipFunctionBase< TMeasurementVector >
typedef SmartPointer< const Self >	ConstPointer

typedef unsigned int	MeasurementVectorSizeType

typedef TMeasurementVector	MeasurementVectorType

typedef SmartPointer< Self >	Pointer

typedef MembershipFunctionBase	Self

typedef FunctionBase < TMeasurementVector, double >	Superclass

Public Types inherited from itk::FunctionBase< TMeasurementVector, double >
typedef SmartPointer< const Self >	ConstPointer

typedef TMeasurementVector	InputType

typedef double	OutputType

typedef SmartPointer< Self >	Pointer

typedef FunctionBase	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
double	Evaluate (const MeasurementVectorType &measurement) const

virtual const CovarianceMatrixType &	GetCovariance ()

virtual const CovarianceMatrixType &	GetInverseCovariance ()

virtual const MeanVectorType &	GetMean ()

virtual LightObject::Pointer	InternalClone () const

void	SetCovariance (const CovarianceMatrixType &cov)

void	SetMean (const MeanVectorType &mean)

Public Member Functions inherited from itk::Statistics::MembershipFunctionBase< TMeasurementVector >
virtual MeasurementVectorSizeType	GetMeasurementVectorSize () const

virtual void	SetMeasurementVectorSize (MeasurementVectorSizeType s)

Protected Member Functions
	GaussianMembershipFunction (void)

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

virtual	~GaussianMembershipFunction (void)

Protected Member Functions inherited from itk::Statistics::MembershipFunctionBase< TMeasurementVector >
	MembershipFunctionBase ()

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

virtual	~MembershipFunctionBase (void)

Protected Member Functions inherited from itk::FunctionBase< TMeasurementVector, double >
	FunctionBase ()

	~FunctionBase ()

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

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

virtual void	SetTimeStamp (const TimeStamp &time)

virtual	~Object ()

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 Member Functions
	GaussianMembershipFunction (const Self &)

void	operator= (const Self &)

Private Attributes
CovarianceMatrixType	m_Covariance

bool	m_CovarianceNonsingular

CovarianceMatrixType	m_InverseCovariance

MeanVectorType	m_Mean

double	m_PreFactor

virtual const char *	GetNameOfClass () const

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

static Pointer	New ()

Additional Inherited Members
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)

Protected Types inherited from itk::LightObject
typedef int	InternalReferenceCountType

Protected Attributes inherited from itk::LightObject
InternalReferenceCountType	m_ReferenceCount

SimpleFastMutexLock	m_ReferenceCountLock