#include <itkMembershipFunctionBase.h>

Detailed Description

template<typename TVector>
class itk::Statistics::MembershipFunctionBase< TVector >

MembershipFunctionBase defines common interfaces for membership functions.

MembershipFunctionBase is a subclass of FunctionBase which restricts the function type to be a membership function. Membership functions provide a mapping from an arbitrary domain to a set of real numbers. Membership functions are typically used to model or approximate likelihood functions, \(p( x | i )\), i.e. the probability of the measurement \(x\) belonging to a class \(i\).

The Statistics framework models random variables \(x\) as vectors. Typical uses of MembershipFunctions include templating over a FixedArray, Array, Vector, or VariableLengthVector.

The Evaluate() method returns the membership rank or likelihood that the measurement belongs to the class represented by this membership function.

Evaluations of a single measurement across of set MembershipFunctions can then be passed to a DecisionRule in order to establish class (or group) assignment.

Definition at line 58 of file itkMembershipFunctionBase.h.

Inheritance diagram for itk::Statistics::MembershipFunctionBase< TVector >:

Collaboration diagram for itk::Statistics::MembershipFunctionBase< TVector >:

Public Types
using	ConstPointer = SmartPointer< const Self >

using	MeasurementVectorSizeType = unsigned int

using	MeasurementVectorType = TVector

using	Pointer = SmartPointer< Self >

using	Self = MembershipFunctionBase

using	Superclass = FunctionBase< TVector, double >

Public Types inherited from itk::FunctionBase< TVector, double >
using	ConstPointer = SmartPointer< const Self >

using	InputType = TVector

using	OutputType = double

using	Pointer = SmartPointer< Self >

using	Self = FunctionBase

using	Superclass = Object

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
double	Evaluate (const MeasurementVectorType &x) const override=0

virtual MeasurementVectorSizeType	GetMeasurementVectorSize () const

const char *	GetNameOfClass () const override


virtual void	SetMeasurementVectorSize (MeasurementVectorSizeType s)

Public Member Functions inherited from itk::FunctionBase< TVector, double >
virtual OutputType	Evaluate (const InputType &input) const=0

const char *	GetNameOfClass () const override

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

Protected Member Functions
	MembershipFunctionBase ()

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

	~MembershipFunctionBase () override=default

Protected Member Functions inherited from itk::FunctionBase< TVector, double >
	FunctionBase ()=default

	~FunctionBase () 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 Attributes
MeasurementVectorSizeType	m_MeasurementVectorSize {}

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 val)

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

static Pointer	New ()

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

Member Typedef Documentation

◆ ConstPointer

template<typename TVector >

using itk::Statistics::MembershipFunctionBase< TVector >::ConstPointer = SmartPointer<const Self>

Definition at line 67 of file itkMembershipFunctionBase.h.

◆ MeasurementVectorSizeType

template<typename TVector >

using itk::Statistics::MembershipFunctionBase< TVector >::MeasurementVectorSizeType = unsigned int

Typedef for the length of each measurement vector

Definition at line 76 of file itkMembershipFunctionBase.h.

◆ MeasurementVectorType

template<typename TVector >

using itk::Statistics::MembershipFunctionBase< TVector >::MeasurementVectorType = TVector

MeasurementVector type alias support

Definition at line 73 of file itkMembershipFunctionBase.h.

◆ Pointer

template<typename TVector >

using itk::Statistics::MembershipFunctionBase< TVector >::Pointer = SmartPointer<Self>

Definition at line 66 of file itkMembershipFunctionBase.h.

◆ Self

template<typename TVector >

using itk::Statistics::MembershipFunctionBase< TVector >::Self = MembershipFunctionBase

Standard class type aliases

Definition at line 64 of file itkMembershipFunctionBase.h.

◆ Superclass

template<typename TVector >

using itk::Statistics::MembershipFunctionBase< TVector >::Superclass = FunctionBase<TVector, double>

Definition at line 65 of file itkMembershipFunctionBase.h.

Constructor & Destructor Documentation

◆ MembershipFunctionBase()

template<typename TVector >

itk::Statistics::MembershipFunctionBase< TVector >::MembershipFunctionBase ( )

inlineprotected

Definition at line 128 of file itkMembershipFunctionBase.h.

References itk::NumericTraits< T >::GetLength().

◆ ~MembershipFunctionBase()

template<typename TVector >

itk::Statistics::MembershipFunctionBase< TVector >::~MembershipFunctionBase ( )

overrideprotecteddefault

Member Function Documentation

◆ Evaluate()

template<typename TVector >

double itk::Statistics::MembershipFunctionBase< TVector >::Evaluate ( const MeasurementVectorType & x ) const

overridepure virtual

Method to get membership score (discriminant score) of an entity or measurement. Evaluate() maps from a vector measurement type to a real number.

Implements itk::FunctionBase< TVector, double >.

Implemented in itk::Statistics::DistanceToCentroidMembershipFunction< TVector >, itk::Statistics::GaussianMembershipFunction< TMeasurementVector >, and itk::Statistics::MahalanobisDistanceMembershipFunction< TVector >.

◆ GetMeasurementVectorSize()

template<typename TVector >

virtual MeasurementVectorSizeType itk::Statistics::MembershipFunctionBase< TVector >::GetMeasurementVectorSize ( ) const

virtual

Get the length of the measurement vector

◆ GetNameOfClass()

template<typename TVector >

const char * itk::Statistics::MembershipFunctionBase< TVector >::GetNameOfClass ( ) const

overridevirtual

See also: LightObject::GetNameOfClass()

Reimplemented from itk::Object.

◆ PrintSelf()

template<typename TVector >

void itk::Statistics::MembershipFunctionBase< TVector >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const

inlineoverrideprotectedvirtual

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::Object.

Definition at line 136 of file itkMembershipFunctionBase.h.

◆ SetMeasurementVectorSize()

template<typename TVector >

virtual void itk::Statistics::MembershipFunctionBase< TVector >::SetMeasurementVectorSize ( MeasurementVectorSizeType s )

inlinevirtual

Set the length of the measurement vector. If this membership function is templated over a vector type that can be resized, the new size is set. If the vector type has a fixed size and an attempt is made to change its size, an exception is thrown. Subclasses may have to override this method if a change in vector size requires invalidating other instance variables, e.g. covariance matrices, mean vectors, etc.

Reimplemented in itk::Statistics::DistanceToCentroidMembershipFunction< TVector >.

Definition at line 92 of file itkMembershipFunctionBase.h.

References itk::NumericTraits< T >::GetLength().