#include <itkGaussianMembershipFunction.h>

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

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

Detailed Description

template<typename 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.

Examples:: Examples/Statistics/BayesianPluginClassifier.cxx, and Examples/Statistics/GaussianMembershipFunction.cxx.

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 override

virtual const CovarianceMatrixType &	GetCovariance () const

virtual const CovarianceMatrixType &	GetInverseCovariance () const

virtual const MeanVectorType &	GetMean () const

virtual LightObject::Pointer	InternalClone () const override

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)

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

Protected Member Functions
	GaussianMembershipFunction ()

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

virtual	~GaussianMembershipFunction () override

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

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

virtual	~MembershipFunctionBase (void) override

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

	~FunctionBase () 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
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 () 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)

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

static Pointer	New ()

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