itk::CompositeValleyFunction Class Reference

#include <itkCompositeValleyFunction.h>

Detailed Description

Multiple valley shaped curve function.

Its functional form f(x) is : sum (valley( (x - mean[i]) / sigma[i] ) ) over i from 0 to the number of target classes where valley(x) = 1 - 1 / (1 + x^2 / 3)

The plotting of the function return shows multiple lowest points at each mean[i] position. There are two more important shape parameters for this function, higher-bound and lower-bound. Upper-bound will be highest mean value among target classes' means + its sigma value * 9, and lower-bound will be lowest mean value among target classes' means - its sigma value * 9

For example, if there are two target classes with their means at 4 and 6. The plotting may look like the following:

| |********* ****** | * * | * * * | * * * * | * * * * | * * * * | * * —+--—+---—*---—*----— | 2 4 6 |

This is a part of the bias correction methods and implementation that was initially developed and implemented by Martin Styner, Univ. of North Carolina at Chapel Hill, and his colleagues.

For more details refer to [122] and [121].

Definition at line 108 of file itkCompositeValleyFunction.h.

Inheritance diagram for itk::CompositeValleyFunction:

Collaboration diagram for itk::CompositeValleyFunction:

Public Types
using	MeasureArrayType = Superclass::MeasureArrayType
using	MeasureType = Superclass::MeasureType
using	Superclass = CacheableScalarFunction
Public Types inherited from itk::CacheableScalarFunction
using	MeasureArrayType = Array<MeasureType>
using	MeasureType = double

Public Member Functions
	CompositeValleyFunction (const MeasureArrayType &classMeans, const MeasureArrayType &classSigmas)
MeasureType	Evaluate (MeasureType x) override
double	GetLowerBound () const
double	GetUpperBound () const
MeasureType	operator() (MeasureType x)
MeasureType	valley (MeasureType d)
	~CompositeValleyFunction () override
Public Member Functions inherited from itk::CacheableScalarFunction
	CacheableScalarFunction ()
MeasureType	GetCachedValue (MeasureType x)
double	GetCacheLowerBound () const
double	GetCacheUpperBound () const
double	GetInterval () const
SizeValueType	GetNumberOfSamples () const
bool	IsCacheAvailable () const
virtual	~CacheableScalarFunction ()

Protected Member Functions
void	AddNewClass (double mean, double sigma)
void	Initialize ()
Protected Member Functions inherited from itk::CacheableScalarFunction
void	CreateCache (double lowerBound, double upperBound, SizeValueType sampleSize)

Private Attributes
double	m_LowerBound {}
std::vector< TargetClass >	m_Targets {}
double	m_UpperBound {}

Member Typedef Documentation

MeasureArrayType

using itk::CompositeValleyFunction::MeasureArrayType = Superclass::MeasureArrayType

Definition at line 116 of file itkCompositeValleyFunction.h.

MeasureType

using itk::CompositeValleyFunction::MeasureType = Superclass::MeasureType

Cost value type.

Definition at line 115 of file itkCompositeValleyFunction.h.

Superclass

using itk::CompositeValleyFunction::Superclass = CacheableScalarFunction

Superclass to this class.

Definition at line 112 of file itkCompositeValleyFunction.h.

Constructor & Destructor Documentation

CompositeValleyFunction()

itk::CompositeValleyFunction::CompositeValleyFunction	(	const MeasureArrayType &	classMeans,
		const MeasureArrayType &	classSigmas )

Constructor.

~CompositeValleyFunction()

itk::CompositeValleyFunction::~CompositeValleyFunction ( )

override

Destructor.

Member Function Documentation

AddNewClass()

void itk::CompositeValleyFunction::AddNewClass ( double mean, double sigma )

inlineprotected

Definition at line 169 of file itkCompositeValleyFunction.h.

References m_Targets.

Evaluate()

MeasureType itk::CompositeValleyFunction::Evaluate ( MeasureType x )

overridevirtual

Evaluate the function at point x.

Reimplemented from itk::CacheableScalarFunction.

Referenced by operator()().

GetLowerBound()

double itk::CompositeValleyFunction::GetLowerBound ( ) const

inline

Get energy table's lower bound.

Definition at line 133 of file itkCompositeValleyFunction.h.

References m_LowerBound.

GetUpperBound()

double itk::CompositeValleyFunction::GetUpperBound ( ) const

inline

Get energy table's higher bound.

Definition at line 126 of file itkCompositeValleyFunction.h.

References m_UpperBound.

Initialize()

void itk::CompositeValleyFunction::Initialize ( )

protected

calculate and save energy values

operator()()

MeasureType itk::CompositeValleyFunction::operator() ( MeasureType x )

inline

Gets an energy value for the intensity difference between a pixel and its corresponding bias.

Definition at line 141 of file itkCompositeValleyFunction.h.

References Evaluate(), itk::CacheableScalarFunction::GetCachedValue(), itk::CacheableScalarFunction::IsCacheAvailable(), m_LowerBound, and m_UpperBound.

valley()

MeasureType itk::CompositeValleyFunction::valley ( MeasureType d )

inline

Get an energy value for the valley.

Definition at line 162 of file itkCompositeValleyFunction.h.

Member Data Documentation

m_LowerBound

double itk::CompositeValleyFunction::m_LowerBound {}

private

The lowest mean value - the sigma of the tissue class which has the lowest mean value * 9.

Definition at line 190 of file itkCompositeValleyFunction.h.

Referenced by GetLowerBound(), and operator()().

m_Targets

std::vector<TargetClass> itk::CompositeValleyFunction::m_Targets {}

private

Storage for tissue classes' statistics.

Definition at line 182 of file itkCompositeValleyFunction.h.

Referenced by AddNewClass().

m_UpperBound

double itk::CompositeValleyFunction::m_UpperBound {}

private

The highest mean value + the sigma of the tissue class which has the highest mean value * 9.

Definition at line 186 of file itkCompositeValleyFunction.h.

Referenced by GetUpperBound(), and operator()().

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

• itkCompositeValleyFunction.h