#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
typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::MeasureType	MeasureType

typedef Superclass::ParametersType	ParametersType

typedef SmartPointer< Self >	Pointer

typedef Superclass::ScalesType	ScalesType

typedef PowellOptimizerv4	Self

typedef ObjectToObjectOptimizerBaseTemplate < TInternalComputationValueType >	Superclass

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

typedef MetricType::DerivativeType	DerivativeType

typedef MetricType::MeasureType	MeasureType

typedef ObjectToObjectMetricBaseTemplate < TInternalComputationValueType >	MetricType

typedef MetricType::Pointer	MetricTypePointer

typedef MetricType::NumberOfParametersType	NumberOfParametersType

typedef OptimizerParameters < TInternalComputationValueType >	ParametersType

typedef SmartPointer< Self >	Pointer

typedef OptimizerParameterScalesEstimatorTemplate < TInternalComputationValueType >	ScalesEstimatorType

typedef OptimizerParameters < TInternalComputationValueType >	ScalesType

typedef ObjectToObjectOptimizerBaseTemplate	Self

typedef std::ostringstream	StopConditionDescriptionType

typedef std::string	StopConditionReturnStringType

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 bool &	GetCatchGetValueException () const

virtual const unsigned int &	GetCurrentLineIteration () const

virtual const double &	GetMetricWorstPossibleValue () const

virtual const char *	GetNameOfClass () const

virtual const std::string	GetStopConditionDescription () const override

virtual void	SetCatchGetValueException (bool _arg)

virtual void	SetMetricWorstPossibleValue (double _arg)

virtual 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

virtual 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 &	GetNumberOfThreads () 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	SetNumberOfThreads (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

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::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 &)

virtual 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

virtual	~PowellOptimizerv4 () override

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

virtual	~ObjectToObjectOptimizerBaseTemplate () 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 Attributes
bool	m_CatchGetValueException

MeasureType	m_CurrentCost

unsigned int	m_CurrentLineIteration

ParametersType	m_CurrentPosition

vnl_vector< double >	m_LineDirection

ParametersType	m_LineOrigin

unsigned int	m_MaximumIteration

unsigned int	m_MaximumLineIteration

double	m_MetricWorstPossibleValue

unsigned int	m_SpaceDimension

double	m_StepLength

double	m_StepTolerance

bool	m_Stop

std::ostringstream	m_StopConditionDescription

double	m_ValueTolerance

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_NumberOfThreads

ScalesType	m_Scales

bool	m_ScalesAreIdentity

ScalesEstimatorType::Pointer	m_ScalesEstimator

ScalesType	m_Weights

bool	m_WeightsAreIdentity

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