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itk::CumulativeGaussianCostFunction

itk::CumulativeGaussianCostFunction Class Reference
[Numerics, Functions]

#include <itkCumulativeGaussianCostFunction.h>

Inheritance diagram for itk::CumulativeGaussianCostFunction:

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Collaboration diagram for itk::CumulativeGaussianCostFunction:

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List of all members.

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 $ I_1 $ and upper $ I_2 $: $ 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.

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
virtual void GetDerivative (const ParametersType &parameters, DerivativeType &derivative) const=0
void GetDerivative (const ParametersType &, DerivativeType &) const
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 *) const
unsigned long AddObserver (const EventObject &event, Command *)

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 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

volatile int m_ReferenceCount
SimpleFastMutexLock m_ReferenceCountLock

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 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 *   
) 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

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]

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

Return this objects modified time.

Reimplemented in itk::ImageRegistrationMethod< TFixedImage, TMovingImage >, itk::ImageToSpatialObjectRegistrationMethod< TFixedImage, TMovingSpatialObject >, itk::MultiResolutionImageRegistrationMethod< TFixedImage, TMovingImage >, itk::PointSetToImageRegistrationMethod< TFixedPointSet, TMovingImage >, itk::PointSetToPointSetRegistrationMethod< TFixedPointSet, TMovingPointSet >, itk::DeformationFieldSource< TOutputImage >, itk::InverseDeformationFieldImageFilter< TInputImage, TOutputImage >, itk::ResampleImageFilter< TInputImage, TOutputImage, TInterpolatorPrecisionType >, itk::VectorResampleImageFilter< TInputImage, TOutputImage, TInterpolatorPrecisionType >, itk::BoundingBox< TPointIdentifier, VPointDimension, TCoordRep, TPointsContainer >, itk::ImageAdaptor< TImage, TAccessor >, itk::ResampleImageFilter< TInputImage, TOutputImage, TInterpolatorPrecisionType >, itk::ImageSpatialObject< TDimension, TPixelType >, itk::MeshSpatialObject< TMesh >, itk::SceneSpatialObject< TSpaceDimension >, itk::SpatialObject< TDimension >, itk::ImageAdaptor< TImage, itk::Accessor::AsinPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::AbsPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::LogPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::ComplexToPhasePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::Log10PixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::ExpPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::AddPixelAccessor< TImage::PixelType > >, itk::ImageAdaptor< itk::VectorImage< TPixelType, Dimension >, itk::Accessor::VectorImageToImagePixelAccessor< TPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::RGBToVectorPixelAccessor< TImage::PixelType::ComponentType > >, itk::ImageAdaptor< TImage, itk::PixelAccessor< TInternalType, TExternalType > >, itk::ImageAdaptor< TImage, itk::Accessor::SqrtPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::AcosPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::ComplexToModulusPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::ExpNegativePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::VectorToRGBPixelAccessor< TImage::PixelType::ValueType > >, itk::ImageAdaptor< TImage, itk::Accessor::TanPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::ComplexToRealPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::RGBToLuminancePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::AtanPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::SinPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::ComplexToImaginaryPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::CosPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageSpatialObject< TDimension, unsigned char >, itk::SpatialObject< 3 >, and itk::SpatialObject< ::itk::GetMeshDimension< TMesh >::PointDimension >.

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 98 of file itkLightObject.h.

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

Return a pointer of values evaluated for the given parameters.

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

Return the values evaluated for the given parameters.

Implements itk::MultipleValuedCostFunction.

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::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.

Reimplemented in itk::NormalizeImageFilter< TInputImage, TOutputImage >, itk::ImageAdaptor< TImage, TAccessor >, itk::ImageAdaptor< TImage, itk::Accessor::AsinPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::AbsPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::LogPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::ComplexToPhasePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::Log10PixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::ExpPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::AddPixelAccessor< TImage::PixelType > >, itk::ImageAdaptor< itk::VectorImage< TPixelType, Dimension >, itk::Accessor::VectorImageToImagePixelAccessor< TPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::RGBToVectorPixelAccessor< TImage::PixelType::ComponentType > >, itk::ImageAdaptor< TImage, itk::PixelAccessor< TInternalType, TExternalType > >, itk::ImageAdaptor< TImage, itk::Accessor::SqrtPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::AcosPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::ComplexToModulusPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::ExpNegativePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::VectorToRGBPixelAccessor< TImage::PixelType::ValueType > >, itk::ImageAdaptor< TImage, itk::Accessor::TanPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::ComplexToRealPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::RGBToLuminancePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::AtanPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::SinPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, itk::Accessor::ComplexToImaginaryPixelAccessor< TImage::PixelType, TOutputPixelType > >, and itk::ImageAdaptor< TImage, itk::Accessor::CosPixelAccessor< TImage::PixelType, TOutputPixelType > >.

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::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< 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::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]

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

volatile int itk::LightObject::m_ReferenceCount [mutable, protected, inherited]

Number of uses of this object by other objects.

Definition at line 119 of file itkLightObject.h.

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

Mutex lock to protect modification to the reference count

Definition at line 122 of file itkLightObject.h.

The documentation for this class was generated from the following file:
Generated at Mon Apr 14 16:53:02 2008 for ITK by doxygen 1.5.1 written by Dimitri van Heesch, © 1997-2000