ITK: itk::PowellOptimizer Class Reference

Scale type. This array defines scale to be applied to parameters before being evaluated in the cost function. This allows to map to a more convenient space. In particular this is used to normalize parameter spaces in which some parameters have a different dynamic range.

Reimplemented from itk::Optimizer.

Definition at line 52 of file itkNonLinearOptimizer.h.

typedef PowellOptimizer itk::PowellOptimizer::Self

Standard "Self" typedef.

Reimplemented from itk::SingleValuedNonLinearOptimizer.

Reimplemented in itk::FRPROptimizer.

Definition at line 65 of file itkPowellOptimizer.h.

typedef SingleValuedNonLinearOptimizer itk::PowellOptimizer::Superclass

Reimplemented from itk::SingleValuedNonLinearOptimizer.

Reimplemented in itk::FRPROptimizer.

Definition at line 66 of file itkPowellOptimizer.h.

itk::PowellOptimizer::PowellOptimizer ( ) [protected]

itk::PowellOptimizer::PowellOptimizer ( const PowellOptimizer & ) [protected]

virtual itk::PowellOptimizer::~PowellOptimizer ( ) [protected, virtual]

unsigned long itk::Object::AddObserver	(	const EventObject &	event,
		Command *
	)			const `[inherited]`

unsigned long itk::Object::AddObserver	(	const EventObject &	event,
		Command *
	)			`[inherited]`

Allow people to add/remove/invoke observers (callbacks) to any ITK object. This is an implementation of the subject/observer design pattern. An observer is added by specifying an event to respond to and an itk::Command to execute. It returns an unsigned long tag which can be used later to remove the event or retrieve the command. The memory for the Command becomes the responsibility of this object, so don't pass the same instance of a command to two different objects

virtual void itk::PowellOptimizer::BracketedLineOptimize	(	double	ax,
		double	bx,
		double	cx,
		double	fa,
		double	fb,
		double	fc,
		double *	extX,
		double *	extVal,
		ParametersType &	tempCoord
	)			`[protected, virtual]`

virtual void itk::PowellOptimizer::BracketedLineOptimize	(	double	ax,
		double	bx,
		double	cx,
		double	fa,
		double	fb,
		double	fc,
		double *	extX,
		double *	extVal
	)			`[protected, virtual]`

Given a bracketing triple of points and their function values, returns a bounded extreme. These values are in parameter space, along the current line and wrt the current origin set via SetLine. Optimization terminates based on MaximumIteration, StepTolerance, or ValueTolerance. Implemented as Brent line optimers from NRC.

static void itk::LightObject::BreakOnError ( ) [static, inherited]

This method is called when itkExceptionMacro executes. It allows the debugger to break on error.

virtual LightObject::Pointer itk::Object::CreateAnother ( ) const [virtual, inherited]

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::LightObject.

virtual void itk::Object::DebugOff ( ) const [virtual, inherited]

Turn debugging output off.

virtual void itk::Object::DebugOn ( ) const [virtual, inherited]

Turn debugging output on.

virtual void itk::LightObject::Delete ( ) [virtual, inherited]

Delete an itk object. This method should always be used to delete an object when the new operator was used to create it. Using the C delete method will not work with reference counting.

virtual bool itk::PowellOptimizer::GetCatchGetValueException ( ) [virtual]

Command* itk::Object::GetCommand ( unsigned long tag ) [inherited]

Get the command associated with the given tag. NOTE: This returns a pointer to a Command, but it is safe to asign this to a Command::Pointer. Since Command inherits from LightObject, at this point in the code, only a pointer or a reference to the Command can be used.

virtual const CostFunctionType* itk::SingleValuedNonLinearOptimizer::GetCostFunction ( ) [virtual, inherited]

Get the cost function.

virtual const MeasureType& itk::PowellOptimizer::GetCurrentCost ( ) [virtual]

Return Current Value

virtual const unsigned int& itk::PowellOptimizer::GetCurrentIteration ( ) [virtual]

Return Current Iteration

virtual const unsigned int& itk::PowellOptimizer::GetCurrentLineIteration ( ) [virtual]

Get the current line search iteration

virtual const ParametersType& itk::Optimizer::GetCurrentPosition ( ) [virtual, inherited]

Get current position of the optimization.

bool itk::Object::GetDebug ( ) const [inherited]

Get the value of the debug flag.

static bool itk::Object::GetGlobalWarningDisplay ( ) [static, inherited]

virtual const ParametersType& itk::Optimizer::GetInitialPosition ( ) [virtual, inherited]

Get the position to initialize the optimization.

double itk::PowellOptimizer::GetLineValue	(	double	x,
		ParametersType &	tempCoord
	)			const `[protected]`

double itk::PowellOptimizer::GetLineValue ( double x ) const [protected]

Get the value of the n-dimensional cost function at this scalar step distance along the current line direction from the current line origin. Line origin and distances are set via SetLine

virtual const bool& itk::PowellOptimizer::GetMaximize ( ) [virtual]

virtual const unsigned int& itk::PowellOptimizer::GetMaximumIteration ( ) [virtual]

virtual unsigned int itk::PowellOptimizer::GetMaximumLineIteration ( ) const [virtual]

const MetaDataDictionary& itk::Object::GetMetaDataDictionary ( void ) const [inherited]

Returns:: A constant reference to this objects MetaDataDictionary.

MetaDataDictionary& itk::Object::GetMetaDataDictionary ( void ) [inherited]

Returns:: A reference to this objects MetaDataDictionary.

Warning:: This reference may be changed.

virtual double itk::PowellOptimizer::GetMetricWorstPossibleValue ( ) [virtual]

virtual unsigned long itk::Object::GetMTime ( ) const [virtual, inherited]

Return this objects modified time.

Referenced by itk::SpatialObject< ::itk::GetMeshDimension< TMesh >::PointDimension >::GetObjectMTime().

virtual const char* itk::PowellOptimizer::GetNameOfClass ( ) const [virtual]

Run-time type information (and related methods).

Reimplemented from itk::SingleValuedNonLinearOptimizer.

Reimplemented in itk::FRPROptimizer.

virtual int itk::LightObject::GetReferenceCount ( ) const [inline, virtual, inherited]

Gets the reference count on this object.

Definition at line 106 of file itkLightObject.h.

virtual const ScalesType& itk::Optimizer::GetScales ( ) [virtual, inherited]

Get current parameters scaling.

virtual unsigned int itk::PowellOptimizer::GetSpaceDimension ( ) [protected, virtual]

virtual const double& itk::PowellOptimizer::GetStepLength ( ) [virtual]

virtual const double& itk::PowellOptimizer::GetStepTolerance ( ) [virtual]

virtual bool itk::PowellOptimizer::GetStop ( ) [protected, virtual]

MeasureType itk::SingleValuedNonLinearOptimizer::GetValue ( const ParametersType & parameters ) const [inherited]

Get the cost function value at the given parameters.

Reimplemented in itk::SPSAOptimizer.

MeasureType itk::PowellOptimizer::GetValue ( void ) const [inline]

Return Current Value

Definition at line 119 of file itkPowellOptimizer.h.

virtual const double& itk::PowellOptimizer::GetValueTolerance ( ) [virtual]

static void itk::Object::GlobalWarningDisplayOff ( ) [inline, static, inherited]

Definition at line 100 of file itkObject.h.

References itk::Object::SetGlobalWarningDisplay().

static void itk::Object::GlobalWarningDisplayOn ( ) [inline, static, inherited]

Definition at line 98 of file itkObject.h.

References itk::Object::SetGlobalWarningDisplay().

bool itk::Object::HasObserver ( const EventObject & event ) const [inherited]

Return true if an observer is registered for this event.

void itk::Object::InvokeEvent ( const EventObject & ) const [inherited]

Call Execute on all the Commands observing this event id. The actions triggered by this call doesn't modify this object.

void itk::Object::InvokeEvent ( const EventObject & ) [inherited]

Call Execute on all the Commands observing this event id.

virtual void itk::PowellOptimizer::LineBracket	(	double *	ax,
		double *	bx,
		double *	cx,
		double *	fa,
		double *	fb,
		double *	fc,
		ParametersType &	tempCoord
	)			`[protected, virtual]`

virtual void itk::PowellOptimizer::LineBracket	(	double *	ax,
		double *	bx,
		double *	cx,
		double *	fa,
		double *	fb,
		double *	fc
	)			`[protected, virtual]`

The LineBracket routine from NRC. Later reimplemented from the description of the method available in the Wikipedia.

Uses current origin and line direction (from SetLine) to find a triple of points (ax, bx, cx) that bracket the extreme "near" the origin. Search first considers the point StepLength distance from ax.

IMPORTANT: The value of ax and the value of the function at ax (i.e., fa), must both be provided to this function.

virtual void itk::Object::Modified ( ) const [virtual, inherited]

Update the modification time for this object. Many filters rely on the modification time to determine if they need to recompute their data.

Referenced by itk::NarrowBandImageFilterBase< TInputImage, itk::Image< TOutputPixelType,::itk::GetImageDimension< TInputImage >::ImageDimension > >::InsertNarrowBandNode(), itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >::SetCenter(), itk::HistogramAlgorithmBase< TInputHistogram >::SetInputHistogram(), itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >::SetMatrix(), itk::NarrowBandImageFilterBase< TInputImage, itk::Image< TOutputPixelType,::itk::GetImageDimension< TInputImage >::ImageDimension > >::SetNarrowBand(), itk::NarrowBandImageFilterBase< TInputImage, itk::Image< TOutputPixelType,::itk::GetImageDimension< TInputImage >::ImageDimension > >::SetNarrowBandInnerRadius(), itk::NarrowBandImageFilterBase< TInputImage, itk::Image< TOutputPixelType,::itk::GetImageDimension< TInputImage >::ImageDimension > >::SetNarrowBandTotalRadius(), itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >::SetOffset(), itk::ThresholdLabelerImageFilter< TInputImage, TOutputImage >::SetRealThresholds(), itk::CollidingFrontsImageFilter< TInputImage, TOutputImage >::SetSeedPoints1(), itk::CollidingFrontsImageFilter< TInputImage, TOutputImage >::SetSeedPoints2(), itk::NonUniformBSpline< TDimension >::SetSplineOrder(), itk::ThresholdLabelerImageFilter< TInputImage, TOutputImage >::SetThresholds(), itk::Statistics::GoodnessOfFitFunctionBase< TInputHistogram >::SetTotalObservedScale(), and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >::SetTranslation().

static Pointer itk::PowellOptimizer::New ( ) [static]

Method for creation through the object factory.

Reimplemented from itk::SingleValuedNonLinearOptimizer.

Reimplemented in itk::FRPROptimizer.

void itk::LightObject::Print	(	std::ostream &	os,
		Indent	indent = `0`
	)			const `[inherited]`

Cause the object to print itself out.

Referenced by itk::WeakPointer< itk::ProcessObject >::Print().

virtual void itk::LightObject::PrintHeader	(	std::ostream &	os,
		Indent	indent
	)			const `[protected, virtual, inherited]`

bool itk::Object::PrintObservers	(	std::ostream &	os,
		Indent	indent
	)			const `[protected, inherited]`

void itk::PowellOptimizer::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)			const `[protected, virtual]`

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::SingleValuedNonLinearOptimizer.

Reimplemented in itk::FRPROptimizer.

virtual void itk::LightObject::PrintTrailer	(	std::ostream &	os,
		Indent	indent
	)			const `[protected, virtual, inherited]`

virtual void itk::Object::Register ( ) const [virtual, inherited]

Increase the reference count (mark as used by another object).

Reimplemented from itk::LightObject.

void itk::Object::RemoveAllObservers ( ) [inherited]

Remove all observers .

void itk::Object::RemoveObserver ( unsigned long tag ) [inherited]

Remove the observer with this tag value.

virtual void itk::PowellOptimizer::SetCatchGetValueException ( bool _arg ) [virtual]

virtual void itk::SingleValuedNonLinearOptimizer::SetCostFunction ( CostFunctionType * costFunction ) [virtual, inherited]

Set the cost function.

virtual void itk::PowellOptimizer::SetCurrentCost ( double _arg ) [protected, virtual]

virtual void itk::PowellOptimizer::SetCurrentIteration ( unsigned int _arg ) [protected, virtual]

void itk::PowellOptimizer::SetCurrentLinePoint	(	double	x,
		double	fx
	)			`[protected]`

Set the given scalar step distance (x) and function value (fx) as the "best-so-far" optimizer values.

virtual void itk::Optimizer::SetCurrentPosition ( const ParametersType & param ) [protected, virtual, inherited]

Set the current position.

void itk::Object::SetDebug ( bool debugFlag ) const [inherited]

Set the value of the debug flag. A non-zero value turns debugging on.

static void itk::Object::SetGlobalWarningDisplay ( bool flag ) [static, inherited]

This is a global flag that controls whether any debug, warning or error messages are displayed.

Referenced by itk::Object::GlobalWarningDisplayOff(), and itk::Object::GlobalWarningDisplayOn().

virtual void itk::Optimizer::SetInitialPosition ( const ParametersType & param ) [virtual, inherited]

Set the position to initialize the optimization.

void itk::PowellOptimizer::SetLine	(	const ParametersType &	origin,
		const vnl_vector< double > &	direction
	)			`[protected]`

Used to specify the line direction through the n-dimensional parameter space the is currently being bracketed and optimized.

virtual void itk::PowellOptimizer::SetMaximize ( bool _arg ) [virtual]

Set if the Optimizer should Maximize the metric

virtual void itk::PowellOptimizer::SetMaximumIteration ( unsigned int _arg ) [virtual]

Set/Get maximum iteration limit.

virtual void itk::PowellOptimizer::SetMaximumLineIteration ( unsigned int _arg ) [virtual]

Set/Get the maximum number of line search iterations

void itk::Object::SetMetaDataDictionary ( const MetaDataDictionary & rhs ) [inherited]

Returns:: Set the MetaDataDictionary

virtual void itk::PowellOptimizer::SetMetricWorstPossibleValue ( double _arg ) [virtual]

virtual void itk::Object::SetReferenceCount ( int ) [virtual, inherited]

Sets the reference count (use with care)

Reimplemented from itk::LightObject.

void itk::Optimizer::SetScales ( const ScalesType & scales ) [inherited]

Set current parameters scaling.

void itk::PowellOptimizer::SetSpaceDimension ( unsigned int dim ) [inline, protected]

Definition at line 207 of file itkPowellOptimizer.h.

virtual void itk::PowellOptimizer::SetStepLength ( double _arg ) [virtual]

Set/Get StepLength for the (scaled) spacing of the sampling of parameter space while bracketing the extremum

virtual void itk::PowellOptimizer::SetStepTolerance ( double _arg ) [virtual]

Set/Get StepTolerance. Once the local extreme is known to be within this distance of the current parameter values, optimization terminates

virtual void itk::PowellOptimizer::SetStop ( bool _arg ) [protected, virtual]

virtual void itk::PowellOptimizer::SetValueTolerance ( double _arg ) [virtual]

Set/Get ValueTolerance. Once this current cost function value is known to be within this tolerance of the cost function value at the local extreme, optimization terminates

void itk::PowellOptimizer::Shift	(	double *	a,
		double *	b,
		double *	c,
		double	d
	)			const `[protected]`

Used in bracketing the extreme along the current line. Adapted from NRC

void itk::PowellOptimizer::StartOptimization ( ) [virtual]

Start optimization.

Reimplemented from itk::Optimizer.

Reimplemented in itk::FRPROptimizer.

void itk::PowellOptimizer::StopOptimization ( void ) [inline]

When users call StartOptimization, this value will be set false. By calling StopOptimization, this flag will be set true, and optimization will stop at the next iteration.

Definition at line 134 of file itkPowellOptimizer.h.

void itk::PowellOptimizer::Swap	(	double *	a,
		double *	b
	)			const `[protected]`

Used in bracketing the extreme along the current line. Adapted from NRC

virtual void itk::Object::UnRegister ( ) const [virtual, inherited]

Decrease the reference count (release by another object).

Reimplemented from itk::LightObject.

CostFunctionPointer itk::SingleValuedNonLinearOptimizer::m_CostFunction [protected, inherited]

Definition at line 80 of file itkSingleValuedNonLinearOptimizer.h.

ParametersType itk::Optimizer::m_CurrentPosition [protected, inherited]

Definition at line 95 of file itkOptimizer.h.

InternalReferenceCountType itk::LightObject::m_ReferenceCount [mutable, protected, inherited]

Number of uses of this object by other objects.

Definition at line 144 of file itkLightObject.h.

SimpleFastMutexLock itk::LightObject::m_ReferenceCountLock [mutable, protected, inherited]

Mutex lock to protect modification to the reference count

Definition at line 147 of file itkLightObject.h.

bool itk::Optimizer::m_ScalesInitialized [protected, inherited]

Definition at line 90 of file itkOptimizer.h.


Public Types
typedef SmartPointer< const Self >	ConstPointer
typedef CostFunctionType::Pointer	CostFunctionPointer
typedef SingleValuedCostFunction	CostFunctionType
typedef CostFunctionType::DerivativeType	DerivativeType
typedef CostFunctionType::MeasureType	MeasureType
typedef SingleValuedNonLinearOptimizer::ParametersType	ParametersType
typedef SmartPointer< Self >	Pointer
typedef Superclass::ScalesType	ScalesType
typedef PowellOptimizer	Self
typedef SingleValuedNonLinearOptimizer	Superclass
Public Member Functions
virtual LightObject::Pointer	CreateAnother () const
virtual void	DebugOff () const
virtual void	DebugOn () const
virtual void	Delete ()
virtual bool	GetCatchGetValueException ()
Command *	GetCommand (unsigned long tag)
virtual const CostFunctionType *	GetCostFunction ()
virtual const unsigned int &	GetCurrentIteration ()
virtual const unsigned int &	GetCurrentLineIteration ()
virtual const ParametersType &	GetCurrentPosition ()
bool	GetDebug () const
virtual const ParametersType &	GetInitialPosition ()
const MetaDataDictionary &	GetMetaDataDictionary (void) const
MetaDataDictionary &	GetMetaDataDictionary (void)
virtual double	GetMetricWorstPossibleValue ()
virtual unsigned long	GetMTime () const
virtual const char *	GetNameOfClass () const
virtual int	GetReferenceCount () const
virtual const ScalesType &	GetScales ()
MeasureType	GetValue (const ParametersType &parameters) const
bool	HasObserver (const EventObject &event) const
void	InvokeEvent (const EventObject &) const
void	InvokeEvent (const EventObject &)
virtual void	Modified () const
void	Print (std::ostream &os, Indent indent=0) const
virtual void	Register () const
void	RemoveAllObservers ()
void	RemoveObserver (unsigned long tag)
virtual void	SetCatchGetValueException (bool _arg)
virtual void	SetCostFunction (CostFunctionType *costFunction)
void	SetDebug (bool debugFlag) const
virtual void	SetInitialPosition (const ParametersType &param)
void	SetMetaDataDictionary (const MetaDataDictionary &rhs)
virtual void	SetMetricWorstPossibleValue (double _arg)
virtual void	SetReferenceCount (int)
void	SetScales (const ScalesType &scales)
void	StartOptimization ()
void	StopOptimization ()
virtual void	UnRegister () const

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

virtual const MeasureType &	GetCurrentCost ()
MeasureType	GetValue () const

virtual const bool &	GetMaximize ()
virtual void	SetMaximize (bool _arg)

virtual const unsigned int &	GetMaximumIteration ()
virtual void	SetMaximumIteration (unsigned int _arg)

virtual unsigned int	GetMaximumLineIteration () const
virtual void	SetMaximumLineIteration (unsigned int _arg)

virtual const double &	GetStepLength ()
virtual void	SetStepLength (double _arg)

virtual const double &	GetStepTolerance ()
virtual void	SetStepTolerance (double _arg)

virtual const double &	GetValueTolerance ()
virtual void	SetValueTolerance (double _arg)
Static Public Member Functions
static void	BreakOnError ()
static Pointer	New ()

static bool	GetGlobalWarningDisplay ()
static void	GlobalWarningDisplayOff ()
static void	GlobalWarningDisplayOn ()
static void	SetGlobalWarningDisplay (bool flag)
Protected Types

typedef int	InternalReferenceCountType
Protected Member Functions
virtual void	BracketedLineOptimize (double ax, double bx, double cx, double fa, double fb, double fc, double extX, double extVal, ParametersType &tempCoord)
virtual void	BracketedLineOptimize (double ax, double bx, double cx, double fa, double fb, double fc, double extX, double extVal)
double	GetLineValue (double x, ParametersType &tempCoord) const
double	GetLineValue (double x) const
virtual unsigned int	GetSpaceDimension ()
virtual bool	GetStop ()
virtual void	LineBracket (double ax, double bx, double cx, double fa, double fb, double fc, ParametersType &tempCoord)
virtual void	LineBracket (double ax, double bx, double cx, double fa, double fb, double fc)
	PowellOptimizer (const PowellOptimizer &)
	PowellOptimizer ()
bool	PrintObservers (std::ostream &os, Indent indent) const
void	PrintSelf (std::ostream &os, Indent indent) const
virtual void	SetCurrentCost (double _arg)
virtual void	SetCurrentIteration (unsigned int _arg)
void	SetCurrentLinePoint (double x, double fx)
virtual void	SetCurrentPosition (const ParametersType &param)
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	~PowellOptimizer ()

virtual void	PrintHeader (std::ostream &os, Indent indent) const
virtual void	PrintTrailer (std::ostream &os, Indent indent) const
Protected Attributes
CostFunctionPointer	m_CostFunction
ParametersType	m_CurrentPosition
InternalReferenceCountType	m_ReferenceCount
SimpleFastMutexLock	m_ReferenceCountLock
bool	m_ScalesInitialized

itk::PowellOptimizer Class Reference
[Numerics, Optimizers]

Detailed Description

Public Types

Public Member Functions

Static Public Member Functions

Protected Types

Protected Member Functions

Protected Attributes

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

itk::PowellOptimizer Class Reference [Numerics, Optimizers]

Detailed Description

Public Types

Public Member Functions

Static Public Member Functions

Protected Types

Protected Member Functions

Protected Attributes

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

itk::PowellOptimizer Class Reference
[Numerics, Optimizers]