#include <itkCumulativeGaussianOptimizer.h>

Inheritance diagram for itk::CumulativeGaussianOptimizer:

Collaboration diagram for itk::CumulativeGaussianOptimizer:

Detailed Description

This is an optimizer specific to estimating the parameters of Cumulative Gaussian sampled data.

This optimizer will only work if the data array is sampled from a Cumulative Gaussian curve. It's more of a curve fitter than an optimizer, with the advantage of being fast and specific. It works by taking the derivative of the Cumulative Gaussian sample then repeatedly extending the tails of the Gaussian and recalculating the Gaussian parameters until the change in iterations is within tolerance or very small. The Gaussian is then integrated to reproduce the Cumulative Gaussian and the asymptotes are estimated by using least squares fit to estimate the constant from integration.

Definition at line 48 of file itkCumulativeGaussianOptimizer.h.

Public Types
typedef SmartPointer< const Self >	ConstPointer

typedef CumulativeGaussianCostFunction	CostFunctionType

typedef CostFunctionType::MeasureType	MeasureType

typedef SmartPointer< Self >	Pointer

typedef CumulativeGaussianOptimizer	Self

typedef MultipleValuedNonLinearOptimizer	Superclass

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

typedef CostFunctionType::Pointer	CostFunctionPointer

typedef MultipleValuedCostFunction	CostFunctionType

typedef Array2D< double >	DerivativeType

typedef Array< double >	MeasureType

typedef Superclass::ParametersType	ParametersType

typedef SmartPointer< Self >	Pointer

typedef MultipleValuedNonLinearOptimizer	Self

typedef NonLinearOptimizer	Superclass

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

typedef Superclass::ParametersType	ParametersType

typedef SmartPointer< Self >	Pointer

typedef Superclass::ScalesType	ScalesType

typedef NonLinearOptimizer	Self

typedef Optimizer	Superclass

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

typedef OptimizerParameters < double >	ParametersType

typedef SmartPointer< Self >	Pointer

typedef Array< double >	ScalesType

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

virtual const char *	GetNameOfClass () const

virtual const std::string	GetStopConditionDescription () const override

void	PrintArray (MeasureType *array)

void	SetDataArray (MeasureType *dataArray)

virtual void	StartOptimization () override


virtual void	SetDifferenceTolerance (double _arg)

virtual double	GetDifferenceTolerance ()

virtual void	SetVerbose (bool _arg)

virtual bool	GetVerbose ()

virtual double	GetComputedMean ()

virtual double	GetComputedStandardDeviation ()

virtual double	GetUpperAsymptote ()

virtual double	GetLowerAsymptote ()

virtual MeasureType *	GetFinalSampledArray ()

virtual double	GetFitError ()

Public Member Functions inherited from itk::MultipleValuedNonLinearOptimizer
virtual ::itk::LightObject::Pointer	CreateAnother () const

virtual void	SetCostFunction (CostFunctionType *costFunction)

Public Member Functions inherited from itk::NonLinearOptimizer
virtual ::itk::LightObject::Pointer	CreateAnother () const

Public Member Functions inherited from itk::Optimizer
virtual ::itk::LightObject::Pointer	CreateAnother () const

virtual const ParametersType &	GetCurrentPosition () const

virtual const ParametersType &	GetInitialPosition () const

virtual void	SetInitialPosition (const ParametersType &param)

void	SetScales (const ScalesType &scales)

virtual const ScalesType &	GetScales () const

virtual const ScalesType &	GetInverseScales () const

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

virtual void	Register () const override

void	RemoveAllObservers ()

void	RemoveObserver (unsigned long tag)

void	SetDebug (bool debugFlag) const

void	SetMetaDataDictionary (const MetaDataDictionary &rhs)

virtual void	SetReferenceCount (int) override

virtual void	UnRegister () const noexceptoverride

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::MultipleValuedNonLinearOptimizer
static Pointer	New ()

Static Public Member Functions inherited from itk::NonLinearOptimizer
static Pointer	New ()

Static Public Member Functions inherited from itk::Optimizer
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
	CumulativeGaussianOptimizer ()

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

virtual	~CumulativeGaussianOptimizer () override

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

virtual	~MultipleValuedNonLinearOptimizer () override

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

virtual	~NonLinearOptimizer () override

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

virtual void	SetCurrentPosition (const ParametersType &param)

virtual	~Optimizer () override

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

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

virtual void	SetTimeStamp (const TimeStamp &time)

virtual	~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 Member Functions
MeasureType *	ExtendGaussian (MeasureType originalArray, MeasureType extendedArray, int startingPointForInsertion)

double	FindAverageSumOfSquaredDifferences (MeasureType array1, MeasureType array2)

void	FindParametersOfGaussian (MeasureType *sampledGaussianArray)

void	MeasureGaussianParameters (MeasureType *array)

void	PrintComputedParameterHeader ()

void	PrintComputedParameters ()

MeasureType *	RecalculateExtendedArrayFromGaussianParameters (MeasureType originalArray, MeasureType extendedArray, int startingPointForInsertion)

double	VerticalBestShift (MeasureType originalArray, MeasureType newArray)

Private Attributes
double	m_ComputedAmplitude

double	m_ComputedMean

double	m_ComputedStandardDeviation

double	m_ComputedTransitionHeight

MeasureType *	m_CumulativeGaussianArray

double	m_DifferenceTolerance

MeasureType *	m_FinalSampledArray

double	m_FitError

double	m_LowerAsymptote

double	m_OffsetForMean

std::ostringstream	m_StopConditionDescription

double	m_UpperAsymptote

bool	m_Verbose

Additional Inherited Members
Protected Attributes inherited from itk::MultipleValuedNonLinearOptimizer
CostFunctionPointer	m_CostFunction

Protected Attributes inherited from itk::Optimizer
ParametersType	m_CurrentPosition

bool	m_ScalesInitialized

Protected Attributes inherited from itk::LightObject
AtomicInt< int >	m_ReferenceCount

Member Typedef Documentation

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

Definition at line 57 of file itkCumulativeGaussianOptimizer.h.

typedef CumulativeGaussianCostFunction itk::CumulativeGaussianOptimizer::CostFunctionType

Cost function typedef. NOTE: This optimizer is specific to fitting a Cumulative Gaussian.

Definition at line 61 of file itkCumulativeGaussianOptimizer.h.

typedef CostFunctionType::MeasureType itk::CumulativeGaussianOptimizer::MeasureType

Data array typedef.

Definition at line 64 of file itkCumulativeGaussianOptimizer.h.

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

Definition at line 56 of file itkCumulativeGaussianOptimizer.h.

typedef CumulativeGaussianOptimizer itk::CumulativeGaussianOptimizer::Self

Standard typedefs.

Definition at line 54 of file itkCumulativeGaussianOptimizer.h.

typedef MultipleValuedNonLinearOptimizer itk::CumulativeGaussianOptimizer::Superclass

Definition at line 55 of file itkCumulativeGaussianOptimizer.h.

Constructor & Destructor Documentation

itk::CumulativeGaussianOptimizer::CumulativeGaussianOptimizer ( )

protected

virtual itk::CumulativeGaussianOptimizer::~CumulativeGaussianOptimizer ( )

overrideprotectedvirtual

Member Function Documentation

virtual::itk::LightObject::Pointer itk::CumulativeGaussianOptimizer::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.

MeasureType* itk::CumulativeGaussianOptimizer::ExtendGaussian	(	MeasureType *	originalArray,
		MeasureType *	extendedArray,
		int	startingPointForInsertion
	)

private

Extend the tails of the Gaussian.

double itk::CumulativeGaussianOptimizer::FindAverageSumOfSquaredDifferences	(	MeasureType *	array1,
		MeasureType *	array2
	)

private

Calculates the squared difference error between each Gaussian iteration loop.

void itk::CumulativeGaussianOptimizer::FindParametersOfGaussian ( MeasureType * sampledGaussianArray )

private

Given an array sampled from a Gaussin, compute the final parameters.

virtual double itk::CumulativeGaussianOptimizer::GetComputedMean ( )

virtual

Set and get macros.

virtual double itk::CumulativeGaussianOptimizer::GetComputedStandardDeviation ( )

virtual

Set and get macros.

virtual double itk::CumulativeGaussianOptimizer::GetDifferenceTolerance ( )

virtual

Set and get macros.

virtual MeasureType* itk::CumulativeGaussianOptimizer::GetFinalSampledArray ( )

virtual

Set and get macros.

virtual double itk::CumulativeGaussianOptimizer::GetFitError ( )

virtual

Set and get macros.

virtual double itk::CumulativeGaussianOptimizer::GetLowerAsymptote ( )

virtual

Set and get macros.

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

virtual

Run-time type information (and related methods).

Reimplemented from itk::MultipleValuedNonLinearOptimizer.

virtual const std::string itk::CumulativeGaussianOptimizer::GetStopConditionDescription ( ) const

overridevirtual

Report the reason for stopping.

Reimplemented from itk::Optimizer.

virtual double itk::CumulativeGaussianOptimizer::GetUpperAsymptote ( )

virtual

Set and get macros.

virtual bool itk::CumulativeGaussianOptimizer::GetVerbose ( )

virtual

Set and get macros.

void itk::CumulativeGaussianOptimizer::MeasureGaussianParameters ( MeasureType * array )

private

Measure the parameters of a Gaussian sampled array.

static Pointer itk::CumulativeGaussianOptimizer::New ( )

static

Method for creation through the object factory.

void itk::CumulativeGaussianOptimizer::PrintArray ( MeasureType * array )

Print an array.

void itk::CumulativeGaussianOptimizer::PrintComputedParameterHeader ( )

private

Print the header for output table.

void itk::CumulativeGaussianOptimizer::PrintComputedParameters ( )

private

Print the computed parameters.

virtual void itk::CumulativeGaussianOptimizer::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::MultipleValuedNonLinearOptimizer.

MeasureType* itk::CumulativeGaussianOptimizer::RecalculateExtendedArrayFromGaussianParameters	(	MeasureType *	originalArray,
		MeasureType *	extendedArray,
		int	startingPointForInsertion
	)