#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 51 of file itkCumulativeGaussianCostFunction.h.

Public Types
enum	{ SpaceDimension = 4 }

using	ConstPointer = SmartPointer< const Self >

using	DerivativeType = Superclass::DerivativeType

using	MeasureType = Superclass::MeasureType

using	ParametersType = Superclass::ParametersType

using	Pointer = SmartPointer< Self >

using	Self = CumulativeGaussianCostFunction

using	Superclass = MultipleValuedCostFunction

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

using	DerivativeType = Array2D< double >

using	MeasureType = Array< double >

using	ParametersType = Superclass::ParametersType

using	Pointer = SmartPointer< Self >

using	Self = MultipleValuedCostFunction

using	Superclass = CostFunction

Public Types inherited from itk::CostFunctionTemplate< TInternalComputationValueType >
using	ConstPointer = SmartPointer< const Self >

using	ParametersType = OptimizerParameters< TInternalComputationValueType >

using	ParametersValueType = TInternalComputationValueType

using	Pointer = SmartPointer< Self >

using	Self = CostFunctionTemplate

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	CalculateFitError (MeasureType *setTestArray)

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

double	EvaluateCumulativeGaussian (double argument) const

void	GetDerivative (const ParametersType &, DerivativeType &) const override

virtual const char *	GetNameOfClass () const

unsigned int	GetNumberOfParameters () const override

unsigned int	GetNumberOfValues () const override

MeasureType	GetValue (const ParametersType &parameters) const override

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

Public Member Functions inherited from itk::Object
unsigned long	AddObserver (const EventObject &event, Command *)

unsigned long	AddObserver (const EventObject &event, Command *) const

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

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)

void	SetDebug (bool debugFlag) const

void	SetReferenceCount (int) override

void	UnRegister () const noexceptoverride

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
virtual void	Delete ()

virtual int	GetReferenceCount () const

	itkCloneMacro (Self)

void	Print (std::ostream &os, Indent indent=0) const

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::Object
static bool	GetGlobalWarningDisplay ()

static void	GlobalWarningDisplayOff ()

static void	GlobalWarningDisplayOn ()

static Pointer	New ()

static void	SetGlobalWarningDisplay (bool flag)

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

static Pointer	New ()

Protected Member Functions
	CumulativeGaussianCostFunction ()

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

	~CumulativeGaussianCostFunction () override

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

	~MultipleValuedCostFunction () override

Protected Member Functions inherited from itk::CostFunctionTemplate< TInternalComputationValueType >
	CostFunctionTemplate ()=default

	~CostFunctionTemplate () override=default

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

bool	PrintObservers (std::ostream &os, Indent indent) const

virtual void	SetTimeStamp (const TimeStamp &time)

	~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	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 Attributes inherited from itk::LightObject
std::atomic< int >	m_ReferenceCount

Member Typedef Documentation

using itk::CumulativeGaussianCostFunction::ConstPointer = SmartPointer< const Self >

Definition at line 59 of file itkCumulativeGaussianCostFunction.h.

using itk::CumulativeGaussianCostFunction::DerivativeType = Superclass::DerivativeType

Definition at line 70 of file itkCumulativeGaussianCostFunction.h.

using itk::CumulativeGaussianCostFunction::MeasureType = Superclass::MeasureType

Definition at line 69 of file itkCumulativeGaussianCostFunction.h.

using itk::CumulativeGaussianCostFunction::ParametersType = Superclass::ParametersType

Array Typedefs.

Definition at line 68 of file itkCumulativeGaussianCostFunction.h.

using itk::CumulativeGaussianCostFunction::Pointer = SmartPointer< Self >

Definition at line 58 of file itkCumulativeGaussianCostFunction.h.

using itk::CumulativeGaussianCostFunction::Self = CumulativeGaussianCostFunction

Standard type alias.

Definition at line 56 of file itkCumulativeGaussianCostFunction.h.

using itk::CumulativeGaussianCostFunction::Superclass = MultipleValuedCostFunction

Definition at line 57 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 74 of file itkCumulativeGaussianCostFunction.h.

Constructor & Destructor Documentation

itk::CumulativeGaussianCostFunction::CumulativeGaussianCostFunction ( )

protected

itk::CumulativeGaussianCostFunction::~CumulativeGaussianCostFunction ( )

overrideprotected

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 ( ) 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

inlineoverride

Not necessary for this optimizer.

Definition at line 77 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

overridevirtual

Get the SpaceDimension.

Implements itk::CostFunctionTemplate< TInternalComputationValueType >.

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

overridevirtual

Get the number Range Dimension.

Implements itk::MultipleValuedCostFunction.

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

overridevirtual

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

overrideprotectedvirtual

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::CostFunctionTemplate< TInternalComputationValueType >.

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

Set the original data array.