itk::CumulativeGaussianCostFunction Class Reference
[Numerics, Functions]

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

#include <itkCumulativeGaussianCostFunction.h>

Inheritance diagram for itk::CumulativeGaussianCostFunction:

[legend]Collaboration diagram for itk::CumulativeGaussianCostFunction:

[legend]List of all members.

Public Types
typedef CumulativeGaussianCostFunction	Self
typedef MultipleValuedCostFunction	Superclass
typedef SmartPointer< Self >	Pointer
typedef SmartPointer< const Self >	ConstPointer
typedef Superclass::ParametersType	ParametersType
typedef Superclass::MeasureType	MeasureType
typedef Superclass::DerivativeType	DerivativeType
enum	{ SpaceDimension = 4 }
Public Methods
void	GetDerivative (const ParametersType &, DerivativeType &) const
MeasureType	GetValue (const ParametersType &parameters) const
MeasureType *	GetValue (ParametersType &parameters)
double	CalculateFitError (MeasureType *setTestArray)
double	EvaluateCumulativeGaussian (double argument) const
unsigned int	GetNumberOfParameters () const
unsigned int	GetNumberOfValues () const
void	Initialize (unsigned int rangeDimension)
void	SetOriginalDataArray (MeasureType *setOriginalDataArray)
Static Public Methods
Pointer	New ()
Protected Methods
	CumulativeGaussianCostFunction ()
virtual	~CumulativeGaussianCostFunction ()
void	PrintSelf (std::ostream &os, Indent indent) const

---

Detailed Description

Cost function for the Cumulative Gaussian Optimizer.

The Cumulative Gaussian is defined as the integral of a normalized Gaussian over the domain .

Let G(x) be the normalized Gaussian defined as

. The Cumulative Gaussian, is acquired by integrating G(x) then scaling and offseting it by the lower asymptotes I_2 : , where and .

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 .

Definition at line 48 of file itkCumulativeGaussianCostFunction.h.

---

Member Typedef Documentation

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

Reimplemented from itk::MultipleValuedCostFunction. Definition at line 56 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 64 of file itkCumulativeGaussianCostFunction.h. Referenced by GetDerivative().

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 63 of file itkCumulativeGaussianCostFunction.h.

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

Array Typedefs. Reimplemented from itk::MultipleValuedCostFunction. Definition at line 62 of file itkCumulativeGaussianCostFunction.h. Referenced by GetDerivative().

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

Reimplemented from itk::MultipleValuedCostFunction. Definition at line 55 of file itkCumulativeGaussianCostFunction.h.

typedef CumulativeGaussianCostFunction itk::CumulativeGaussianCostFunction::Self

Standard typedefs. Reimplemented from itk::MultipleValuedCostFunction. Definition at line 53 of file itkCumulativeGaussianCostFunction.h.

typedef MultipleValuedCostFunction itk::CumulativeGaussianCostFunction::Superclass

Reimplemented from itk::MultipleValuedCostFunction. Definition at line 54 of file itkCumulativeGaussianCostFunction.h.

---

Member Enumeration Documentation

anonymous enum

The dimensions of parameter space; mean, standard deviation, lower and upper asymptotes. Enumeration values: SpaceDimension  Definition at line 67 of file itkCumulativeGaussianCostFunction.h.

---

Constructor & Destructor Documentation

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

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

---

Member Function Documentation

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

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

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, virtual]

Not necessary for this optimizer. Implements itk::MultipleValuedCostFunction. Definition at line 70 of file itkCumulativeGaussianCostFunction.h. References DerivativeType, and ParametersType.

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 (  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.

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

Initialize the arrays.

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 [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.

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

Set the original data array.

---

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

• itkCumulativeGaussianCostFunction.h

---