#include <itkPowellOptimizerv4.h>

Inheritance diagram for itk::PowellOptimizerv4< TInternalComputationValueType >:

Collaboration diagram for itk::PowellOptimizerv4< TInternalComputationValueType >:

Detailed Description

template<typename TInternalComputationValueType>
class itk::PowellOptimizerv4< TInternalComputationValueType >

Implements Powell optimization using Brent line search.

The code in this class was adapted from the Wikipedia and the netlib.org zeroin function.

http://www.netlib.org/go/zeroin.f http://en.wikipedia.org/wiki/Brent_method http://en.wikipedia.org/wiki/Golden_section_search

This optimizer needs a cost function. Partial derivatives of that function are not required.

For an N-dimensional parameter space, each iteration minimizes the function in N (initially orthogonal) directions. Typically only 2-5 iterations are required. If gradients are available, consider a conjugate gradient line search strategy.

The SetStepLength determines the initial distance to step in a line direction when bounding the minimum (using bracketing triple spaced using a golden search strategy).

The StepTolerance terminates optimization when the parameter values are known to be within this (scaled) distance of the local extreme.

The ValueTolerance terminates optimization when the cost function values at the current parameters and at the local extreme are likely (within a second order approximation) to be within this is tolerance.

Definition at line 59 of file itkPowellOptimizerv4.h.

Public Types
using	ConstPointer = SmartPointer< const Self >

using	MeasureType = typename Superclass::MeasureType

using	ParametersType = typename Superclass::ParametersType

using	Pointer = SmartPointer< Self >

using	ScalesType = typename Superclass::ScalesType

using	Self = PowellOptimizerv4

using	Superclass = ObjectToObjectOptimizerBaseTemplate< TInternalComputationValueType >

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

using	DerivativeType = typename MetricType::DerivativeType

using	MeasureType = typename MetricType::MeasureType

using	MetricType = ObjectToObjectMetricBaseTemplate< TInternalComputationValueType >

using	MetricTypePointer = typename MetricType::Pointer

using	NumberOfParametersType = typename MetricType::NumberOfParametersType

using	ParametersType = OptimizerParameters< TInternalComputationValueType >

using	Pointer = SmartPointer< Self >

using	ScalesEstimatorType = OptimizerParameterScalesEstimatorTemplate< TInternalComputationValueType >

using	ScalesType = OptimizerParameters< TInternalComputationValueType >

using	Self = ObjectToObjectOptimizerBaseTemplate

using	StopConditionDescriptionType = std::ostringstream

using	StopConditionReturnStringType = std::string

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

virtual const bool &	GetCatchGetValueException () const

virtual const unsigned int &	GetCurrentLineIteration () const

virtual const double &	GetMetricWorstPossibleValue () const

virtual const char *	GetNameOfClass () const

const std::string	GetStopConditionDescription () const override

virtual void	SetCatchGetValueException (bool _arg)

virtual void	SetMetricWorstPossibleValue (double _arg)

void	StartOptimization (bool doOnlyInitialization=false) override

void	StopOptimization ()


virtual void	SetMaximumIteration (unsigned int _arg)

virtual const unsigned int &	GetMaximumIteration () const


virtual void	SetMaximumLineIteration (unsigned int _arg)

virtual unsigned int	GetMaximumLineIteration () const


virtual void	SetStepLength (double _arg)

virtual const double &	GetStepLength () const


virtual void	SetStepTolerance (double _arg)

virtual const double &	GetStepTolerance () const


virtual void	SetValueTolerance (double _arg)

virtual const double &	GetValueTolerance () const


virtual const MeasureType &	GetCurrentCost () const

const MeasureType &	GetValue () const override

Public Member Functions inherited from itk::ObjectToObjectOptimizerBaseTemplate< TInternalComputationValueType >
virtual SizeValueType	GetCurrentIteration () const

virtual const MeasureType &	GetCurrentMetricValue () const

virtual const ParametersType &	GetCurrentPosition () const

virtual SizeValueType	GetNumberOfIterations () const

virtual const ThreadIdType &	GetNumberOfWorkUnits () const

virtual const ScalesType &	GetScales () const

virtual const bool &	GetScalesAreIdentity () const

bool	GetScalesInitialized () const

virtual const ScalesType &	GetWeights () const

virtual const bool &	GetWeightsAreIdentity () const

virtual void	SetNumberOfIterations (SizeValueType _arg)

virtual void	SetNumberOfWorkUnits (ThreadIdType number)

virtual void	SetScalesEstimator (ScalesEstimatorType *_arg)

virtual void	SetWeights (ScalesType _arg)

virtual void	SetMetric (MetricType *_arg)

virtual MetricType *	GetModifiableMetric ()

virtual const MetricType *	GetMetric () const

virtual void	SetScales (const ScalesType &scales)

virtual void	SetDoEstimateScales (bool _arg)

virtual const bool &	GetDoEstimateScales () const

virtual void	DoEstimateScalesOn ()

virtual void	DoEstimateScalesOff ()

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
virtual void	BracketedLineOptimize (double ax, double bx, double cx, double fa, double fb, double fc, double extX, double extVal)

virtual void	BracketedLineOptimize (double ax, double bx, double cx, double fa, double fb, double fc, double extX, double extVal, ParametersType &tempCoord)

double	GetLineValue (double x) const

double	GetLineValue (double x, ParametersType &tempCoord) const

virtual unsigned int	GetSpaceDimension ()

virtual bool	GetStop ()

virtual void	LineBracket (double ax, double bx, double cx, double fa, double fb, double fc)

virtual void	LineBracket (double ax, double bx, double cx, double fa, double fb, double fc, ParametersType &tempCoord)

	PowellOptimizerv4 ()

	PowellOptimizerv4 (const PowellOptimizerv4 &)

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

virtual void	SetCurrentCost (double _arg)

virtual void	SetCurrentIteration (unsigned int _arg)

void	SetCurrentLinePoint (double x, double fx)

void	SetLine (const ParametersType &origin, const vnl_vector< double > &direction)

void	SetSpaceDimension (unsigned int dim)

virtual void	SetStop (bool _arg)

void	Shift (double a, double b, double *c, double d) const

void	Swap (double a, double b) const

	~PowellOptimizerv4 () override=default

Protected Member Functions inherited from itk::ObjectToObjectOptimizerBaseTemplate< TInternalComputationValueType >
	ObjectToObjectOptimizerBaseTemplate ()

	~ObjectToObjectOptimizerBaseTemplate () override

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
bool	m_CatchGetValueException {false}

MeasureType	m_CurrentCost

unsigned int	m_CurrentLineIteration {0}

ParametersType	m_CurrentPosition

vnl_vector< double >	m_LineDirection

ParametersType	m_LineOrigin

unsigned int	m_MaximumIteration {100}

unsigned int	m_MaximumLineIteration {100}

double	m_MetricWorstPossibleValue {0}

unsigned int	m_SpaceDimension {0}

double	m_StepLength {0}

double	m_StepTolerance {0}

bool	m_Stop {false}

std::ostringstream	m_StopConditionDescription

double	m_ValueTolerance {0}

Additional Inherited Members
Protected Attributes inherited from itk::ObjectToObjectOptimizerBaseTemplate< TInternalComputationValueType >
SizeValueType	m_CurrentIteration

MeasureType	m_CurrentMetricValue

bool	m_DoEstimateScales

MetricTypePointer	m_Metric

SizeValueType	m_NumberOfIterations

ThreadIdType	m_NumberOfWorkUnits

ScalesType	m_Scales

bool	m_ScalesAreIdentity

ScalesEstimatorType::Pointer	m_ScalesEstimator

ScalesType	m_Weights

bool	m_WeightsAreIdentity

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