ITK  5.0.0
Insight Segmentation and Registration Toolkit
Public Types | Public Member Functions | Static Public Member Functions | Protected Member Functions | Private Attributes | List of all members
itk::CumulativeGaussianCostFunction Class Reference

#include <itkCumulativeGaussianCostFunction.h>

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

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 51 of file itkCumulativeGaussianCostFunction.h.

Public Types

enum  { SpaceDimension = 4 }
using ConstPointer = SmartPointer< const Self >
using DerivativeType = Superclass::DerivativeType
using MeasureType = Superclass::MeasureType
using ParametersType = Superclass::ParametersType
using Pointer = SmartPointer< Self >
using Self = CumulativeGaussianCostFunction
using Superclass = MultipleValuedCostFunction
- Public Types inherited from itk::MultipleValuedCostFunction
using ConstPointer = SmartPointer< const Self >
using DerivativeType = Array2D< double >
using MeasureType = Array< double >
using ParametersType = Superclass::ParametersType
using Pointer = SmartPointer< Self >
using Self = MultipleValuedCostFunction
using Superclass = CostFunction
- Public Types inherited from itk::CostFunctionTemplate< TInternalComputationValueType >
using ConstPointer = SmartPointer< const Self >
using ParametersType = OptimizerParameters< TInternalComputationValueType >
using ParametersValueType = TInternalComputationValueType
using Pointer = SmartPointer< Self >
using Self = CostFunctionTemplate
using Superclass = Object
- Public Types inherited from itk::Object
using ConstPointer = SmartPointer< const Self >
using Pointer = SmartPointer< Self >
using Self = Object
using Superclass = LightObject
- Public Types inherited from itk::LightObject
using ConstPointer = SmartPointer< const Self >
using Pointer = SmartPointer< Self >
using Self = LightObject

Public Member Functions

double CalculateFitError (MeasureType *setTestArray)
virtual ::itk::LightObject::Pointer CreateAnother () const
double EvaluateCumulativeGaussian (double argument) const
void GetDerivative (const ParametersType &, DerivativeType &) const override
virtual const char * GetNameOfClass () const
unsigned int GetNumberOfParameters () const override
unsigned int GetNumberOfValues () const override
MeasureType GetValue (const ParametersType &parameters) const override
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
- Public Member Functions inherited from itk::Object
unsigned long AddObserver (const EventObject &event, Command *)
unsigned long AddObserver (const EventObject &event, Command *) const
virtual void DebugOff () const
virtual void DebugOn () const
CommandGetCommand (unsigned long tag)
bool GetDebug () const
MetaDataDictionaryGetMetaDataDictionary ()
const MetaDataDictionaryGetMetaDataDictionary () const
virtual ModifiedTimeType GetMTime () const
virtual const TimeStampGetTimeStamp () const
bool HasObserver (const EventObject &event) const
void InvokeEvent (const EventObject &)
void InvokeEvent (const EventObject &) const
virtual void Modified () const
void Register () const override
void RemoveAllObservers ()
void RemoveObserver (unsigned long tag)
void SetDebug (bool debugFlag) const
void SetReferenceCount (int) override
void UnRegister () const noexceptoverride
void SetMetaDataDictionary (const MetaDataDictionary &rhs)
void SetMetaDataDictionary (MetaDataDictionary &&rrhs)
virtual void SetObjectName (std::string _arg)
virtual const std::string & GetObjectName () const
- Public Member Functions inherited from itk::LightObject
virtual void Delete ()
virtual int GetReferenceCount () const
 itkCloneMacro (Self)
void Print (std::ostream &os, Indent indent=0) const

Static Public Member Functions

static Pointer New ()
- Static Public Member Functions inherited from itk::Object
static bool GetGlobalWarningDisplay ()
static void GlobalWarningDisplayOff ()
static void GlobalWarningDisplayOn ()
static Pointer New ()
static void SetGlobalWarningDisplay (bool flag)
- Static Public Member Functions inherited from itk::LightObject
static void BreakOnError ()
static Pointer New ()

Protected Member Functions

 CumulativeGaussianCostFunction ()
void PrintSelf (std::ostream &os, Indent indent) const override
 ~CumulativeGaussianCostFunction () override
- Protected Member Functions inherited from itk::MultipleValuedCostFunction
 MultipleValuedCostFunction ()=default
 ~MultipleValuedCostFunction () override
- Protected Member Functions inherited from itk::CostFunctionTemplate< TInternalComputationValueType >
 CostFunctionTemplate ()=default
 ~CostFunctionTemplate () override=default
- Protected Member Functions inherited from itk::Object
 Object ()
bool PrintObservers (std::ostream &os, Indent indent) const
virtual void SetTimeStamp (const TimeStamp &time)
 ~Object () override
- 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
ParametersType m_Parameters
unsigned int m_RangeDimension

Additional Inherited Members

- Protected Attributes inherited from itk::LightObject
std::atomic< int > m_ReferenceCount

Member Typedef Documentation

Definition at line 59 of file itkCumulativeGaussianCostFunction.h.

using itk::CumulativeGaussianCostFunction::DerivativeType = Superclass::DerivativeType

Definition at line 70 of file itkCumulativeGaussianCostFunction.h.

using itk::CumulativeGaussianCostFunction::MeasureType = Superclass::MeasureType

Definition at line 69 of file itkCumulativeGaussianCostFunction.h.

using itk::CumulativeGaussianCostFunction::ParametersType = Superclass::ParametersType

Array Typedefs.

Definition at line 68 of file itkCumulativeGaussianCostFunction.h.

Definition at line 58 of file itkCumulativeGaussianCostFunction.h.

Standard type alias.

Definition at line 56 of file itkCumulativeGaussianCostFunction.h.

Definition at line 57 of file itkCumulativeGaussianCostFunction.h.

Member Enumeration Documentation

anonymous enum

The dimensions of parameter space; mean, standard deviation, lower and upper asymptotes.


Definition at line 74 of file itkCumulativeGaussianCostFunction.h.

Constructor & Destructor Documentation

itk::CumulativeGaussianCostFunction::CumulativeGaussianCostFunction ( )
itk::CumulativeGaussianCostFunction::~CumulativeGaussianCostFunction ( )

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 ( ) const

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 ,
) const

Not necessary for this optimizer.

Definition at line 77 of file itkCumulativeGaussianCostFunction.h.

virtual const char* itk::CumulativeGaussianCostFunction::GetNameOfClass ( ) const

Run-time type information (and related methods).

Reimplemented from itk::MultipleValuedCostFunction.

unsigned int itk::CumulativeGaussianCostFunction::GetNumberOfParameters ( ) const
unsigned int itk::CumulativeGaussianCostFunction::GetNumberOfValues ( ) const

Get the number Range Dimension.

Implements itk::MultipleValuedCostFunction.

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

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 ( )

Method for creation through the object factory.

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

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::CostFunctionTemplate< TInternalComputationValueType >.

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

Set the original data array.

Member Data Documentation

MeasureType itk::CumulativeGaussianCostFunction::m_Measure

Different arrays.

Definition at line 119 of file itkCumulativeGaussianCostFunction.h.

MeasureType* itk::CumulativeGaussianCostFunction::m_MeasurePointer

Definition at line 120 of file itkCumulativeGaussianCostFunction.h.

MeasureType* itk::CumulativeGaussianCostFunction::m_OriginalDataArray

Pointer to the original data array.

Definition at line 113 of file itkCumulativeGaussianCostFunction.h.

ParametersType itk::CumulativeGaussianCostFunction::m_Parameters

Definition at line 121 of file itkCumulativeGaussianCostFunction.h.

unsigned int itk::CumulativeGaussianCostFunction::m_RangeDimension

Number of data samples.

Definition at line 116 of file itkCumulativeGaussianCostFunction.h.

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