ITK  4.2.0
Insight Segmentation and Registration Toolkit
Public Types | Public Member Functions | Static Public Member Functions | Protected Member Functions | Private Attributes
itk::CumulativeGaussianCostFunction Class Reference

#include <itkCumulativeGaussianCostFunction.h>

+ Inheritance diagram for itk::CumulativeGaussianCostFunction:
+ Collaboration diagram for itk::CumulativeGaussianCostFunction:

List of all members.

Public Types

enum  { SpaceDimension = 4 }
typedef SmartPointer< const SelfConstPointer
typedef Superclass::DerivativeType DerivativeType
typedef Superclass::MeasureType MeasureType
typedef Superclass::ParametersType ParametersType
typedef SmartPointer< SelfPointer
typedef
CumulativeGaussianCostFunction 
Self
typedef MultipleValuedCostFunction Superclass
- Public Types inherited from itk::MultipleValuedCostFunction
- Public Types inherited from itk::CostFunction
typedef double ParametersValueType
- Public Types inherited from itk::Object
- Public Types inherited from itk::LightObject

Public Member Functions

double CalculateFitError (MeasureType *setTestArray)
virtual ::itk::LightObject::Pointer CreateAnother (void) const
double EvaluateCumulativeGaussian (double argument) const
void GetDerivative (const ParametersType &, DerivativeType &) const
virtual const char * GetNameOfClass () const
unsigned int GetNumberOfParameters () const
unsigned int GetNumberOfValues () const
MeasureType GetValue (const ParametersType &parameters) const
MeasureTypeGetValuePointer (ParametersType &parameters)
void Initialize (unsigned int rangeDimension)
void SetOriginalDataArray (MeasureType *setOriginalDataArray)
- Public Member Functions inherited from itk::MultipleValuedCostFunction
virtual void GetDerivative (const ParametersType &parameters, DerivativeType &derivative) const =0

Static Public Member Functions

static Pointer New ()

Protected Member Functions

 CumulativeGaussianCostFunction ()
void PrintSelf (std::ostream &os, Indent indent) const
virtual ~CumulativeGaussianCostFunction ()
- Protected Member Functions inherited from itk::MultipleValuedCostFunction
 MultipleValuedCostFunction ()
virtual ~MultipleValuedCostFunction ()
- Protected Member Functions inherited from itk::CostFunction
 CostFunction ()
virtual ~CostFunction ()
- Protected Member Functions inherited from itk::Object
 Object ()
bool PrintObservers (std::ostream &os, Indent indent) const
virtual void SetTimeStamp (const TimeStamp &time)
virtual ~Object ()
- 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

MeasureType m_Measure
MeasureTypem_MeasurePointer
MeasureTypem_OriginalDataArray
ParametersType m_Parameters
unsigned int m_RangeDimension

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.


Member Typedef Documentation

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.

Reimplemented from itk::MultipleValuedCostFunction.

Definition at line 57 of file itkCumulativeGaussianCostFunction.h.

Standard typedefs.

Reimplemented from itk::MultipleValuedCostFunction.

Definition at line 55 of file itkCumulativeGaussianCostFunction.h.

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 73 of file itkCumulativeGaussianCostFunction.h.


Constructor & Destructor Documentation

itk::CumulativeGaussianCostFunction::CumulativeGaussianCostFunction ( )
protected
virtual itk::CumulativeGaussianCostFunction::~CumulativeGaussianCostFunction ( )
protectedvirtual

Member Function Documentation

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

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

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

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::Object.

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

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

void itk::CumulativeGaussianCostFunction::GetDerivative ( const ParametersType ,
DerivativeType  
) const
inline

Not necessary for this optimizer.

Definition at line 76 of file itkCumulativeGaussianCostFunction.h.

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.

MeasureType itk::CumulativeGaussianCostFunction::GetValue ( const ParametersType parameters) const
virtual

Return the values evaluated for the given parameters.

Implements itk::MultipleValuedCostFunction.

MeasureType* itk::CumulativeGaussianCostFunction::GetValuePointer ( ParametersType parameters)

Return a pointer of values evaluated for the given parameters.

void itk::CumulativeGaussianCostFunction::Initialize ( unsigned int  rangeDimension)

Initialize the arrays.

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

Method for creation through the object factory.

Reimplemented from itk::Object.

void itk::CumulativeGaussianCostFunction::PrintSelf ( std::ostream &  os,
Indent  indent 
) const
protectedvirtual

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.

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

Set the original data array.


Member Data Documentation

MeasureType itk::CumulativeGaussianCostFunction::m_Measure
mutableprivate

Different arrays.

Definition at line 118 of file itkCumulativeGaussianCostFunction.h.

MeasureType* itk::CumulativeGaussianCostFunction::m_MeasurePointer
mutableprivate

Definition at line 119 of file itkCumulativeGaussianCostFunction.h.

MeasureType* itk::CumulativeGaussianCostFunction::m_OriginalDataArray
private

Pointer to the original data array.

Definition at line 112 of file itkCumulativeGaussianCostFunction.h.

ParametersType itk::CumulativeGaussianCostFunction::m_Parameters
mutableprivate

Definition at line 120 of file itkCumulativeGaussianCostFunction.h.

unsigned int itk::CumulativeGaussianCostFunction::m_RangeDimension
private

Number of data samples.

Definition at line 115 of file itkCumulativeGaussianCostFunction.h.


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