#include <itkCumulativeGaussianCostFunction.h>

Inheritance diagram for itk::CumulativeGaussianCostFunction:

Collaboration diagram for itk::CumulativeGaussianCostFunction:

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
Public Types inherited from itk::CostFunction
typedef double	ParametersValueType
Public Types inherited from itk::Object
Public Types inherited from itk::LightObject

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

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.

Member Typedef Documentation

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

Reimplemented from itk::MultipleValuedCostFunction.

Definition at line 58 of file itkCumulativeGaussianCostFunction.h.

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

GradientType typedef. It defines a type used to return the cost function derivative.

Reimplemented from itk::MultipleValuedCostFunction.

Definition at line 69 of file itkCumulativeGaussianCostFunction.h.

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

MeasureType typedef. It defines a type used to return the cost function value.

Reimplemented from itk::MultipleValuedCostFunction.

Definition at line 68 of file itkCumulativeGaussianCostFunction.h.

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

Array Typedefs.

Reimplemented from itk::MultipleValuedCostFunction.

Definition at line 64 of file itkCumulativeGaussianCostFunction.h.

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

Reimplemented from itk::MultipleValuedCostFunction.

Definition at line 57 of file itkCumulativeGaussianCostFunction.h.

typedef CumulativeGaussianCostFunction itk::CumulativeGaussianCostFunction::Self

Standard typedefs.

Reimplemented from itk::MultipleValuedCostFunction.

Definition at line 55 of file itkCumulativeGaussianCostFunction.h.

typedef MultipleValuedCostFunction itk::CumulativeGaussianCostFunction::Superclass

Reimplemented from itk::MultipleValuedCostFunction.

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.

Reimplemented from itk::Object.

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.