#include <itkCumulativeGaussianCostFunction.h>

Inheritance diagram for itk::CumulativeGaussianCostFunction:

Collaboration diagram for itk::CumulativeGaussianCostFunction:

Detailed Description

Cost function for the Cumulative Gaussian Optimizer.

The Cumulative Gaussian is defined as the integral of a normalized Gaussian over the domain $[-\infty, \infty]$ .

Let G(x) be the normalized Gaussian defined as: $G(x) = \frac{1}{{\sigma \sqrt {2\pi } }}e^{ - \frac{{\left( {x - \mu } \right)^2 }}{{2\sigma ^2 }}}$ . The Cumulative Gaussian, is acquired by integrating G(x) then scaling and offseting it by the lower asymptotes and upper : $C\left( x \right) = I_1 + \frac{{I_2 - I_1 }}{2}\left( {1 + erf\left( {\frac{{x - \mu }}{{\sigma \sqrt 2 }}} \right)} \right)$ , where $C\left( { - \infty } \right) = I_1$ and $C\left( \infty \right) = I_2$ .

C(x) can only be tabulated since it's a variation of the: error function. It is included in this class as the function EvaluateCumulativeGaussian, where the argument of the function is ${\frac{{x - \mu }}{{\sigma \sqrt 2 }}}$ .

Definition at line 50 of file itkCumulativeGaussianCostFunction.h.

Public Types
enum	{ SpaceDimension = 4 }

typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::DerivativeType	DerivativeType

typedef Superclass::MeasureType	MeasureType

typedef Superclass::ParametersType	ParametersType

typedef SmartPointer< Self >	Pointer

typedef CumulativeGaussianCostFunction	Self

typedef MultipleValuedCostFunction	Superclass

Public Types inherited from itk::MultipleValuedCostFunction
typedef SmartPointer< const Self >	ConstPointer

typedef Array2D< double >	DerivativeType

typedef Array< double >	MeasureType

typedef Superclass::ParametersType	ParametersType

typedef SmartPointer< Self >	Pointer

typedef MultipleValuedCostFunction	Self

typedef CostFunction	Superclass

Public Types inherited from itk::CostFunction
typedef SmartPointer< const Self >	ConstPointer

typedef OptimizerParameters < ParametersValueType >	ParametersType

typedef double	ParametersValueType

typedef SmartPointer< Self >	Pointer

typedef CostFunction	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	CalculateFitError (MeasureType *setTestArray)

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

double	EvaluateCumulativeGaussian (double argument) const

void	GetDerivative (const ParametersType &, DerivativeType &) const

virtual const char *	GetNameOfClass () const

unsigned int	GetNumberOfParameters () const

unsigned int	GetNumberOfValues () const

MeasureType	GetValue (const ParametersType &parameters) const

MeasureType *	GetValuePointer (ParametersType &parameters)

void	Initialize (unsigned int rangeDimension)

void	SetOriginalDataArray (MeasureType *setOriginalDataArray)

Public Member Functions inherited from itk::MultipleValuedCostFunction
virtual void	GetDerivative (const ParametersType &parameters, DerivativeType &derivative) const =0

Static Public Member Functions
static Pointer	New ()

Protected Member Functions
	CumulativeGaussianCostFunction ()

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

virtual	~CumulativeGaussianCostFunction ()

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

virtual	~MultipleValuedCostFunction ()

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

virtual	~CostFunction ()

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
virtual LightObject::Pointer	InternalClone () const

	LightObject ()

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

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

virtual	~LightObject ()

Private Attributes
MeasureType	m_Measure

MeasureType *	m_MeasurePointer

MeasureType *	m_OriginalDataArray

ParametersType	m_Parameters

unsigned int	m_RangeDimension

Additional Inherited Members
Protected Types inherited from itk::LightObject
typedef int	InternalReferenceCountType

Protected Attributes inherited from itk::LightObject
InternalReferenceCountType	m_ReferenceCount

SimpleFastMutexLock	m_ReferenceCountLock

Member Typedef Documentation

typedef SmartPointer< const Self > itk::CumulativeGaussianCostFunction::ConstPointer

Definition at line 58 of file itkCumulativeGaussianCostFunction.h.

typedef Superclass::DerivativeType itk::CumulativeGaussianCostFunction::DerivativeType

Definition at line 69 of file itkCumulativeGaussianCostFunction.h.

typedef Superclass::MeasureType itk::CumulativeGaussianCostFunction::MeasureType

Definition at line 68 of file itkCumulativeGaussianCostFunction.h.

typedef Superclass::ParametersType itk::CumulativeGaussianCostFunction::ParametersType

Array Typedefs.

Definition at line 64 of file itkCumulativeGaussianCostFunction.h.

typedef SmartPointer< Self > itk::CumulativeGaussianCostFunction::Pointer

Definition at line 57 of file itkCumulativeGaussianCostFunction.h.

typedef CumulativeGaussianCostFunction itk::CumulativeGaussianCostFunction::Self

Standard typedefs.

Definition at line 55 of file itkCumulativeGaussianCostFunction.h.

typedef MultipleValuedCostFunction itk::CumulativeGaussianCostFunction::Superclass

Definition at line 56 of file itkCumulativeGaussianCostFunction.h.

Member Enumeration Documentation

anonymous enum

The dimensions of parameter space; mean, standard deviation, lower and upper asymptotes.

Enumerator:

SpaceDimension

Definition at line 73 of file itkCumulativeGaussianCostFunction.h.

Constructor & Destructor Documentation

itk::CumulativeGaussianCostFunction::CumulativeGaussianCostFunction ( )

protected

virtual itk::CumulativeGaussianCostFunction::~CumulativeGaussianCostFunction ( )

protectedvirtual

Member Function Documentation

double itk::CumulativeGaussianCostFunction::CalculateFitError ( MeasureType * setTestArray )

Calculate a fit error between the data and the fit curve.

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

virtual

Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class.

Reimplemented from itk::Object.

double itk::CumulativeGaussianCostFunction::EvaluateCumulativeGaussian ( double argument ) const

Given the argument of a Cumulative Gaussian, return its value.

void itk::CumulativeGaussianCostFunction::GetDerivative	(	const ParametersType &	,
		DerivativeType &
	)		const

inline

Not necessary for this optimizer.

Definition at line 76 of file itkCumulativeGaussianCostFunction.h.

virtual const char* itk::CumulativeGaussianCostFunction::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods).

Reimplemented from itk::MultipleValuedCostFunction.

unsigned int itk::CumulativeGaussianCostFunction::GetNumberOfParameters ( ) const

virtual

Get the SpaceDimension.

Implements itk::CostFunction.

unsigned int itk::CumulativeGaussianCostFunction::GetNumberOfValues ( ) const

virtual

Get the number Range Dimension.

Implements itk::MultipleValuedCostFunction.

MeasureType itk::CumulativeGaussianCostFunction::GetValue ( const ParametersType & parameters ) const

virtual

Return the values evaluated for the given parameters.

Implements itk::MultipleValuedCostFunction.

MeasureType* itk::CumulativeGaussianCostFunction::GetValuePointer ( ParametersType & parameters )

Return a pointer of values evaluated for the given parameters.

void itk::CumulativeGaussianCostFunction::Initialize ( unsigned int rangeDimension )

Initialize the arrays.

static Pointer itk::CumulativeGaussianCostFunction::New ( )

static

Method for creation through the object factory.

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

protectedvirtual

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::CostFunction.

void itk::CumulativeGaussianCostFunction::SetOriginalDataArray ( MeasureType * setOriginalDataArray )

Set the original data array.