Cost function for the Cumulative Gaussian Optimizer. More...

#include <itkCumulativeGaussianCostFunction.h>

Inheritance diagram for itk::CumulativeGaussianCostFunction:

Collaboration diagram for itk::CumulativeGaussianCostFunction:

Public Types
enum	{ SpaceDimension = 4 }
typedef SmartPointer< const Self >	ConstPointer
typedef Superclass::DerivativeType	DerivativeType
typedef Superclass::MeasureType	MeasureType
typedef Superclass::ParametersType	ParametersType
typedef double	ParametersValueType
typedef SmartPointer< Self >	Pointer
typedef CumulativeGaussianCostFunction	Self
typedef MultipleValuedCostFunction	Superclass
Public Member Functions
double	CalculateFitError (MeasureType *setTestArray)
virtual LightObject::Pointer	CreateAnother () const
virtual void	DebugOff () const
virtual void	DebugOn () const
virtual void	Delete ()
double	EvaluateCumulativeGaussian (double argument) const
Command *	GetCommand (unsigned long tag)
bool	GetDebug () const
void	GetDerivative (const ParametersType &, DerivativeType &) const
virtual void	GetDerivative (const ParametersType &parameters, DerivativeType &derivative) const =0
const MetaDataDictionary &	GetMetaDataDictionary (void) const
MetaDataDictionary &	GetMetaDataDictionary (void)
virtual unsigned long	GetMTime () const
virtual const char *	GetNameOfClass () const
unsigned int	GetNumberOfParameters () const
unsigned int	GetNumberOfValues () const
virtual int	GetReferenceCount () const
MeasureType *	GetValue (ParametersType &parameters)
MeasureType	GetValue (const ParametersType &parameters) const
bool	HasObserver (const EventObject &event) const
void	Initialize (unsigned int rangeDimension)
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)
void	SetDebug (bool debugFlag) const
void	SetMetaDataDictionary (const MetaDataDictionary &rhs)
void	SetOriginalDataArray (MeasureType *setOriginalDataArray)
virtual void	SetReferenceCount (int)
virtual void	UnRegister () const


unsigned long	AddObserver (const EventObject &event, Command *)
unsigned long	AddObserver (const EventObject &event, Command *) const
Static Public Member Functions
static void	BreakOnError ()
static Pointer	New ()


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


typedef int	InternalReferenceCountType
Protected Member Functions
	CumulativeGaussianCostFunction ()
bool	PrintObservers (std::ostream &os, Indent indent) const
void	PrintSelf (std::ostream &os, Indent indent) const
virtual	~CumulativeGaussianCostFunction ()


virtual void	PrintHeader (std::ostream &os, Indent indent) const
virtual void	PrintTrailer (std::ostream &os, Indent indent) const
Protected Attributes
InternalReferenceCountType	m_ReferenceCount
SimpleFastMutexLock	m_ReferenceCountLock

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 50 of file itkCumulativeGaussianCostFunction.h.

Member Typedef Documentation

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

Reimplemented from itk::MultipleValuedCostFunction.

Definition at line 58 of file itkCumulativeGaussianCostFunction.h.

typedef Superclass::DerivativeType itk::CumulativeGaussianCostFunction::DerivativeType

GradientType typedef. It defines a type used to return the cost function derivative.

Reimplemented from itk::MultipleValuedCostFunction.

Definition at line 69 of file itkCumulativeGaussianCostFunction.h.

typedef int itk::LightObject::InternalReferenceCountType [protected, inherited]

Define the type of the reference count according to the target. This allows the use of atomic operations

Definition at line 139 of file itkLightObject.h.

typedef Superclass::MeasureType itk::CumulativeGaussianCostFunction::MeasureType

MeasureType typedef. It defines a type used to return the cost function value.

Reimplemented from itk::MultipleValuedCostFunction.

Definition at line 68 of file itkCumulativeGaussianCostFunction.h.

typedef Superclass::ParametersType itk::CumulativeGaussianCostFunction::ParametersType

Array Typedefs.

Reimplemented from itk::MultipleValuedCostFunction.

Definition at line 64 of file itkCumulativeGaussianCostFunction.h.

typedef double itk::CostFunction::ParametersValueType [inherited]

ParametersType typedef. It defines a position in the optimization search space.

Definition at line 46 of file itkCostFunction.h.

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

Reimplemented from itk::MultipleValuedCostFunction.

Definition at line 57 of file itkCumulativeGaussianCostFunction.h.

typedef CumulativeGaussianCostFunction itk::CumulativeGaussianCostFunction::Self

Standard typedefs.

Reimplemented from itk::MultipleValuedCostFunction.

Definition at line 55 of file itkCumulativeGaussianCostFunction.h.

typedef MultipleValuedCostFunction itk::CumulativeGaussianCostFunction::Superclass

Reimplemented from itk::MultipleValuedCostFunction.

Definition at line 56 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 72 of file itkCumulativeGaussianCostFunction.h.

Constructor & Destructor Documentation

itk::CumulativeGaussianCostFunction::CumulativeGaussianCostFunction ( ) [protected]

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

Member Function Documentation

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

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

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

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

double itk::CumulativeGaussianCostFunction::CalculateFitError ( MeasureType * setTestArray )

Calculate a fit error between the data and the fit curve.

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.

double itk::CumulativeGaussianCostFunction::EvaluateCumulativeGaussian ( double argument ) const

Given the argument of a Cumulative Gaussian, return its value.

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.

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

Get the value of the debug flag.

virtual void itk::MultipleValuedCostFunction::GetDerivative	(	const ParametersType &	parameters,
		DerivativeType &	derivative
	)			const `[pure virtual, inherited]`

This method returns the derivative of the cost function corresponding to the specified parameters This method MUST be overloaded by derived classes

void itk::CumulativeGaussianCostFunction::GetDerivative	(	const ParametersType &	,
		DerivativeType &
	)			const `[inline]`

Not necessary for this optimizer.

Definition at line 75 of file itkCumulativeGaussianCostFunction.h.

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

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

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

Returns:: A reference to this objects MetaDataDictionary.

Warning:: This reference may be changed.

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

Returns:: A constant reference to this objects MetaDataDictionary.

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::CumulativeGaussianCostFunction::GetNameOfClass ( ) const [virtual]

Run-time type information (and related methods).

Reimplemented from itk::MultipleValuedCostFunction.

unsigned int itk::CumulativeGaussianCostFunction::GetNumberOfParameters ( ) const [virtual]

Get the SpaceDimension.

Implements itk::CostFunction.

unsigned int itk::CumulativeGaussianCostFunction::GetNumberOfValues ( ) const [virtual]

Get the number Range Dimension.

Implements itk::MultipleValuedCostFunction.

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

Gets the reference count on this object.

Definition at line 106 of file itkLightObject.h.

MeasureType itk::CumulativeGaussianCostFunction::GetValue ( const ParametersType & parameters ) const [virtual]

Return the values evaluated for the given parameters.

Implements itk::MultipleValuedCostFunction.

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

Return a pointer of values evaluated for the given parameters.

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

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

Definition at line 100 of file itkObject.h.

References itk::Object::SetGlobalWarningDisplay().

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

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

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::CumulativeGaussianCostFunction::Initialize ( unsigned int rangeDimension )

Initialize the arrays.

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::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, Image< TOutputPixelType,::itk::GetImageDimension< TInputImage >::ImageDimension > >::InsertNarrowBandNode(), itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >::SetCenter(), itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >::SetMatrix(), itk::NarrowBandImageFilterBase< TInputImage, Image< TOutputPixelType,::itk::GetImageDimension< TInputImage >::ImageDimension > >::SetNarrowBand(), itk::NarrowBandImageFilterBase< TInputImage, Image< TOutputPixelType,::itk::GetImageDimension< TInputImage >::ImageDimension > >::SetNarrowBandInnerRadius(), itk::NarrowBandImageFilterBase< TInputImage, Image< TOutputPixelType,::itk::GetImageDimension< TInputImage >::ImageDimension > >::SetNarrowBandTotalRadius(), itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >::SetOffset(), itk::ThresholdLabelerImageFilter< TInputImage, TOutputImage >::SetRealThresholds(), itk::ThresholdLabelerImageFilter< TInputImage, TOutputImage >::SetThresholds(), itk::Statistics::GoodnessOfFitFunctionBase< TInputHistogram >::SetTotalObservedScale(), and itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >::SetTranslation().

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

Method for creation through the object factory.

Reimplemented from itk::Object.

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

Cause the object to print itself out.

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

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

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.

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

void itk::CumulativeGaussianCostFunction::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::CostFunction.

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

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.

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.

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().

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

Returns:: Set the MetaDataDictionary

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

Set the original data array.

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

Sets the reference count (use with care)

Reimplemented from itk::LightObject.

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

Decrease the reference count (release by another object).

Reimplemented from itk::LightObject.

Member Data Documentation

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.

The documentation for this class was generated from the following file:

itkCumulativeGaussianCostFunction.h

itk::CumulativeGaussianCostFunction Class Reference [Numerics, Functions]

Public Types

Public Member Functions

Static Public Member Functions

Protected Types

Protected Member Functions

Protected Attributes

Detailed Description

Member Typedef Documentation

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

itk::CumulativeGaussianCostFunction Class Reference
[Numerics, Functions]