ITK  4.1.0
Insight Segmentation and Registration Toolkit
Public Types | Public Member Functions | Protected Member Functions | Private Member Functions | Private Attributes
itk::Statistics::MembershipFunctionBase< TVector > Class Template Reference

#include <itkMembershipFunctionBase.h>

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

List of all members.

Public Types

typedef SmartPointer< const SelfConstPointer
typedef unsigned int MeasurementVectorSizeType
typedef TVector MeasurementVectorType
typedef SmartPointer< SelfPointer
typedef MembershipFunctionBase Self
typedef FunctionBase< TVector,
double > 
Superclass

Public Member Functions

virtual double Evaluate (const MeasurementVectorType &x) const =0
virtual MeasurementVectorSizeType GetMeasurementVectorSize () const
virtual const char * GetNameOfClass () const
virtual void SetMeasurementVectorSize (MeasurementVectorSizeType s)

Protected Member Functions

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

Private Member Functions

 MembershipFunctionBase (const Self &)
void operator= (const Self &)

Private Attributes

MeasurementVectorSizeType m_MeasurementVectorSize

Detailed Description

template<class 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 57 of file itkMembershipFunctionBase.h.


Member Typedef Documentation

template<class TVector>
typedef SmartPointer< const Self > itk::Statistics::MembershipFunctionBase< TVector >::ConstPointer
template<class TVector>
typedef unsigned int itk::Statistics::MembershipFunctionBase< TVector >::MeasurementVectorSizeType
template<class TVector>
typedef TVector itk::Statistics::MembershipFunctionBase< TVector >::MeasurementVectorType
template<class TVector>
typedef SmartPointer< Self > itk::Statistics::MembershipFunctionBase< TVector >::Pointer
template<class TVector>
typedef MembershipFunctionBase itk::Statistics::MembershipFunctionBase< TVector >::Self
template<class TVector>
typedef FunctionBase< TVector, double > itk::Statistics::MembershipFunctionBase< TVector >::Superclass

Constructor & Destructor Documentation

template<class TVector>
itk::Statistics::MembershipFunctionBase< TVector >::MembershipFunctionBase ( ) [inline, protected]

Definition at line 128 of file itkMembershipFunctionBase.h.

template<class TVector>
virtual itk::Statistics::MembershipFunctionBase< TVector >::~MembershipFunctionBase ( void  ) [inline, protected, virtual]

Definition at line 134 of file itkMembershipFunctionBase.h.

template<class TVector>
itk::Statistics::MembershipFunctionBase< TVector >::MembershipFunctionBase ( const Self ) [private]

Member Function Documentation

template<class TVector>
virtual double itk::Statistics::MembershipFunctionBase< TVector >::Evaluate ( const MeasurementVectorType x) const [pure 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::MahalanobisDistanceMembershipFunction< TVector >, itk::Statistics::GaussianMembershipFunction< TMeasurementVector >, and itk::Statistics::DistanceToCentroidMembershipFunction< TVector >.

template<class TVector>
virtual MeasurementVectorSizeType itk::Statistics::MembershipFunctionBase< TVector >::GetMeasurementVectorSize ( ) const [virtual]

Get the length of the measurement vector

template<class TVector>
virtual const char* itk::Statistics::MembershipFunctionBase< TVector >::GetNameOfClass ( ) const [virtual]
template<class TVector>
void itk::Statistics::MembershipFunctionBase< TVector >::operator= ( const Self ) [private]
template<class TVector>
void itk::Statistics::MembershipFunctionBase< TVector >::PrintSelf ( std::ostream &  os,
Indent  indent 
) const [inline, 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::Object.

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

Definition at line 136 of file itkMembershipFunctionBase.h.

template<class TVector>
virtual void itk::Statistics::MembershipFunctionBase< TVector >::SetMeasurementVectorSize ( MeasurementVectorSizeType  s) [inline, virtual]

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.

Definition at line 88 of file itkMembershipFunctionBase.h.


Member Data Documentation

Definition at line 147 of file itkMembershipFunctionBase.h.


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