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itk::Statistics::GaussianDistribution Class Reference

GaussianDistribution class defines the interface for a univariate Gaussian distribution (pdfs, cdfs, etc.). More...

#include <itkGaussianDistribution.h>

+ Inheritance diagram for itk::Statistics::GaussianDistribution:
+ Collaboration diagram for itk::Statistics::GaussianDistribution:

Public Types

typedef SmartPointer< const SelfConstPointer
 
typedef Array< double > ParametersType
 
typedef SmartPointer< SelfPointer
 
typedef GaussianDistribution Self
 
typedef ProbabilityDistribution Superclass
 

Public Member Functions

unsigned long AddObserver (const EventObject &event, Command *)
 
unsigned long AddObserver (const EventObject &event, Command *) const
 
virtual ::itk::LightObject::Pointer CreateAnother (void) const
 
virtual void DebugOff () const
 
virtual void DebugOn () const
 
virtual void Delete ()
 
virtual double EvaluateCDF (double x) const
 
virtual double EvaluateCDF (double x, const ParametersType &) const
 
virtual double EvaluateCDF (double x, double mean, double variance) const
 
virtual double EvaluateInverseCDF (double p) const
 
virtual double EvaluateInverseCDF (double p, const ParametersType &) const
 
virtual double EvaluateInverseCDF (double p, double mean, double variance) const
 
virtual double EvaluatePDF (double x) const
 
virtual double EvaluatePDF (double x, const ParametersType &) const
 
virtual double EvaluatePDF (double x, double mean, double variance) const
 
CommandGetCommand (unsigned long tag)
 
bool GetDebug () const
 
virtual double GetMean () const
 
MetaDataDictionaryGetMetaDataDictionary (void)
 
const MetaDataDictionaryGetMetaDataDictionary (void) const
 
virtual ModifiedTimeType GetMTime () const
 
virtual const char * GetNameOfClass () const
 
virtual SizeValueType GetNumberOfParameters () const
 
virtual const std::string & GetObjectName ()
 
virtual const ParametersTypeGetParameters ()
 
virtual int GetReferenceCount () const
 
virtual const TimeStampGetTimeStamp () const
 
virtual double GetVariance () const
 
virtual bool HasMean () const
 
bool HasObserver (const EventObject &event) const
 
virtual bool HasVariance () const
 
void InvokeEvent (const EventObject &)
 
void InvokeEvent (const EventObject &) const
 
 itkCloneMacro (Self)
 
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
 
virtual void SetMean (double)
 
void SetMetaDataDictionary (const MetaDataDictionary &rhs)
 
virtual void SetObjectName (std::string _arg)
 
virtual void SetParameters (const ParametersType &params)
 
virtual void SetReferenceCount (int)
 
virtual void SetVariance (double)
 
virtual void UnRegister () const
 

Static Public Member Functions

static void BreakOnError ()
 
static double CDF (double x)
 
static double CDF (double x, const ParametersType &)
 
static double CDF (double x, double mean, double variance)
 
static bool GetGlobalWarningDisplay ()
 
static void GlobalWarningDisplayOff ()
 
static void GlobalWarningDisplayOn ()
 
static double InverseCDF (double p)
 
static double InverseCDF (double p, const ParametersType &)
 
static double InverseCDF (double p, double mean, double variance)
 
static Pointer New ()
 
static double PDF (double x)
 
static double PDF (double x, const ParametersType &)
 
static double PDF (double x, double mean, double variance)
 
static void SetGlobalWarningDisplay (bool flag)
 

Protected Types

typedef int InternalReferenceCountType
 

Protected Member Functions

 GaussianDistribution (void)
 
virtual ~GaussianDistribution (void)
 
virtual LightObject::Pointer InternalClone () const
 
virtual void PrintHeader (std::ostream &os, Indent indent) const
 
bool PrintObservers (std::ostream &os, Indent indent) const
 
void PrintSelf (std::ostream &os, Indent indent) const
 
virtual void PrintTrailer (std::ostream &os, Indent indent) const
 
virtual void SetTimeStamp (const TimeStamp &time)
 

Protected Attributes

ParametersType m_Parameters
 
InternalReferenceCountType m_ReferenceCount
 
SimpleFastMutexLock m_ReferenceCountLock
 

Private Member Functions

 GaussianDistribution (const Self &)
 
void operator= (const Self &)
 

Detailed Description

GaussianDistribution class defines the interface for a univariate Gaussian distribution (pdfs, cdfs, etc.).

GaussianDistribution provides access to the probability density function (pdf), the cumulative distribution function (cdf), and the inverse cumulative distribution function for a Gaussian distribution.

The EvaluatePDF(), EvaluateCDF, EvaluateInverseCDF() methods are all virtual, allowing algorithms to be written with an abstract interface to a distribution (with said distribution provided to the algorithm at run-time). Static methods, not requiring an instance of the distribution, are also provided. The static methods allow for optimized access to distributions when the distribution is known a priori to the algorithm.

GaussianDistributions are univariate. Multivariate versions may be provided under a separate superclass (since the parameters to the pdf and cdf would have to be vectors not scalars).

GaussianDistributions can be used for Z-score statistical tests.

Note
This work is part of the National Alliance for Medical Image Computing (NAMIC), funded by the National Institutes of Health through the NIH Roadmap for Medical Research, Grant U54 EB005149. Information on the National Centers for Biomedical Computing can be obtained from http://commonfund.nih.gov/bioinformatics.

{Statistics/GaussianDistribution,Create a Gaussian distribution}

Definition at line 60 of file itkGaussianDistribution.h.

Member Typedef Documentation

Definition at line 68 of file itkGaussianDistribution.h.

typedef int itk::LightObject::InternalReferenceCountType
protectedinherited

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

Definition at line 152 of file itkLightObject.h.

Type of the parameter vector.

Definition at line 82 of file itkProbabilityDistribution.h.

Definition at line 67 of file itkGaussianDistribution.h.

Standard class typedefs

Definition at line 65 of file itkGaussianDistribution.h.

Definition at line 66 of file itkGaussianDistribution.h.

Constructor & Destructor Documentation

itk::Statistics::GaussianDistribution::GaussianDistribution ( void  )
protected

Definition at line 26 of file itkGaussianDistribution.cxx.

virtual itk::Statistics::GaussianDistribution::~GaussianDistribution ( void  )
inlineprotectedvirtual

Definition at line 234 of file itkGaussianDistribution.h.

itk::Statistics::GaussianDistribution::GaussianDistribution ( const Self )
private

Member Function Documentation

unsigned long itk::Object::AddObserver ( const EventObject event,
Command cmd 
)
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

Definition at line 398 of file itkObject.cxx.

References itk::SubjectImplementation::AddObserver().

Referenced by otb::StreamingImageVirtualWriter< TInputImage >::GenerateData(), itk::ProgressAccumulator::RegisterInternalFilter(), otb::ImageFileWriter< TInputImage >::Update(), and otb::WriterWatcherBase::WriterWatcherBase().

unsigned long itk::Object::AddObserver ( const EventObject event,
Command cmd 
) const
inherited

Definition at line 409 of file itkObject.cxx.

References itk::SubjectImplementation::AddObserver().

void itk::LightObject::BreakOnError ( )
staticinherited

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

Definition at line 150 of file itkLightObject.cxx.

double itk::Statistics::GaussianDistribution::CDF ( double  x)
static

Static method to evaluate the cumulative distribution function (cdf) of a standardized (mean zero, unit variance) Gaussian. The static method provides optimized access without requiring an instance of the class. Accuracy is approximately 10^-8.

Definition at line 198 of file itkGaussianDistribution.cxx.

References itk::Math::sqrt1_2.

Referenced by CDF(), and EvaluateCDF().

double itk::Statistics::GaussianDistribution::CDF ( double  x,
const ParametersType p 
)
static

Static method to evaluate the cumulative distribution function (cdf) of a Gaussian. The parameters of the distribution are passed as a parameter vector. The ordering of the parameters is (mean, variance). The static method provides optimized access without requiring an instance of the class.

Definition at line 215 of file itkGaussianDistribution.cxx.

References CDF(), and itk::Array< TValueType >::GetSize().

double itk::Statistics::GaussianDistribution::CDF ( double  x,
double  mean,
double  variance 
)
static

Static method to evaluate the cumulative distribution function (cdf) of a Gaussian. The parameters of the distribution are passed as separate values. The static method provides optimized access without requiring an instance of the class.

Definition at line 205 of file itkGaussianDistribution.cxx.

References itk::Math::sqrt1_2.

virtual::itk::LightObject::Pointer itk::Statistics::GaussianDistribution::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.

void itk::Object::DebugOff ( ) const
virtualinherited

Turn debugging output off.

Definition at line 253 of file itkObject.cxx.

void itk::Object::DebugOn ( ) const
virtualinherited

Turn debugging output on.

Definition at line 243 of file itkObject.cxx.

void itk::LightObject::Delete ( )
virtualinherited

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.

Delete a 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.

Definition at line 91 of file itkLightObject.cxx.

double itk::Statistics::GaussianDistribution::EvaluateCDF ( double  x) const
virtual

Evaluate the cumulative distribution function (cdf). The parameters of the distribution are assigned via SetParameters().

Implements itk::Statistics::ProbabilityDistribution.

Definition at line 375 of file itkGaussianDistribution.cxx.

References CDF().

double itk::Statistics::GaussianDistribution::EvaluateCDF ( double  x,
const ParametersType p 
) const
virtual

Evaluate the cumulative distribution function (cdf). The parameters for the distribution are passed as a parameters vector. The ordering of the parameters is (mean, variance).

Implements itk::Statistics::ProbabilityDistribution.

Definition at line 397 of file itkGaussianDistribution.cxx.

References CDF(), and itk::Array< TValueType >::GetSize().

double itk::Statistics::GaussianDistribution::EvaluateCDF ( double  x,
double  mean,
double  variance 
) const
virtual

Evaluate the cumulative distribution function (cdf). The parameters of the distribution are passed as separate parameters.

Definition at line 419 of file itkGaussianDistribution.cxx.

References CDF().

double itk::Statistics::GaussianDistribution::EvaluateInverseCDF ( double  p) const
virtual

Evaluate the inverse cumulative distribution function (inverse cdf). Parameter p must be between 0.0 and 1.0. The parameters of the distribution are assigned via SetParameters().

Implements itk::Statistics::ProbabilityDistribution.

Definition at line 431 of file itkGaussianDistribution.cxx.

References InverseCDF().

double itk::Statistics::GaussianDistribution::EvaluateInverseCDF ( double  p,
const ParametersType params 
) const
virtual

Evaluate the inverse cumulative distribution function (inverse cdf). Parameter p must be between 0.0 and 1.0. The parameters for the distribution are passed as a parameters vector. The ordering of the parameters is (mean, variance).

Implements itk::Statistics::ProbabilityDistribution.

Definition at line 453 of file itkGaussianDistribution.cxx.

References itk::Array< TValueType >::GetSize(), and InverseCDF().

double itk::Statistics::GaussianDistribution::EvaluateInverseCDF ( double  p,
double  mean,
double  variance 
) const
virtual

Evaluate the inverse cumulative distribution function (inverse cdf). Parameter p must be between 0.0 and 1.0. The parameters of the distribution are passed as separate parameters.

Definition at line 475 of file itkGaussianDistribution.cxx.

References InverseCDF().

double itk::Statistics::GaussianDistribution::EvaluatePDF ( double  x) const
virtual

Evaluate the probability density function (pdf). The parameters of the distribution are assigned via SetParameters().

Implements itk::Statistics::ProbabilityDistribution.

Definition at line 319 of file itkGaussianDistribution.cxx.

References PDF().

double itk::Statistics::GaussianDistribution::EvaluatePDF ( double  x,
const ParametersType p 
) const
virtual

Evaluate the probability density function (pdf). The parameters for the distribution are passed as a parameters vector. The ordering of the parameters is (mean, variance).

Implements itk::Statistics::ProbabilityDistribution.

Definition at line 341 of file itkGaussianDistribution.cxx.

References itk::Array< TValueType >::GetSize(), and PDF().

double itk::Statistics::GaussianDistribution::EvaluatePDF ( double  x,
double  mean,
double  variance 
) const
virtual

Evaluate the probability density function (pdf). The parameters of the distribution are passed as separate parameters.

Definition at line 363 of file itkGaussianDistribution.cxx.

References PDF().

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 assign 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.

Definition at line 421 of file itkObject.cxx.

References itk::Object::GetCommand(), and NULL.

Referenced by itk::Object::GetCommand().

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

Get the value of the debug flag.

Definition at line 263 of file itkObject.cxx.

Referenced by otb::ogr::ImageReference< double >::GetDebug().

bool itk::Object::GetGlobalWarningDisplay ( )
staticinherited

Get the value of the global debug output control flag.

Definition at line 391 of file itkObject.cxx.

double itk::Statistics::GaussianDistribution::GetMean ( void  ) const
virtual

Get the mean of the Gaussian distribution. Defaults to 0.0. The mean is stored in position 0 of the parameters vector.

Implements itk::Statistics::ProbabilityDistribution.

Definition at line 35 of file itkGaussianDistribution.cxx.

MetaDataDictionary & itk::Object::GetMetaDataDictionary ( void  )
inherited
const MetaDataDictionary & itk::Object::GetMetaDataDictionary ( void  ) const
inherited
Returns
A constant reference to this objects MetaDataDictionary.

Definition at line 548 of file itkObject.cxx.

References NULL.

ModifiedTimeType itk::Object::GetMTime ( void  ) const
virtualinherited

Return this objects modified time.

Return the modification for this object.

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

Definition at line 283 of file itkObject.cxx.

Referenced by itk::LandmarkDisplacementFieldSource< TOutputImage >::GetMTime(), itk::DeformationFieldSource< TOutputImage >::GetMTime(), itk::TransformToDisplacementFieldSource< TOutputImage, TTransformPrecisionType >::GetMTime(), itk::InverseDisplacementFieldImageFilter< TInputImage, TOutputImage >::GetMTime(), itk::BoundingBox< TPointIdentifier, VPointDimension, TCoordRep, TPointsContainer >::GetMTime(), itk::TransformToDeformationFieldSource< TOutputImage, TTransformPrecisionType >::GetMTime(), itk::InverseDeformationFieldImageFilter< TInputImage, TOutputImage >::GetMTime(), itk::VectorResampleImageFilter< TInputImage, TOutputImage, TInterpolatorPrecisionType >::GetMTime(), itk::SpatialObject< VDimension >::GetMTime(), itk::ResampleImageFilter< TInputImage, TOutputImage, TInterpolatorPrecisionType, TTransformPrecisionType >::GetMTime(), itk::SpatialObject< TMesh::PointDimension >::GetObjectMTime(), and itk::ProcessObject::UpdateOutputInformation().

virtual const char* itk::Statistics::GaussianDistribution::GetNameOfClass ( ) const
virtual

Strandard macros

Reimplemented from itk::Statistics::ProbabilityDistribution.

virtual SizeValueType itk::Statistics::GaussianDistribution::GetNumberOfParameters ( void  ) const
inlinevirtual

Return the number of parameters. For a univariate Gaussian, this is 2 (mean, variance).

Implements itk::Statistics::ProbabilityDistribution.

Definition at line 78 of file itkGaussianDistribution.h.

virtual const std::string& itk::Object::GetObjectName ( )
virtualinherited
virtual const ParametersType& itk::Statistics::ProbabilityDistribution::GetParameters ( )
virtualinherited

Get the parameters of the distribution. See concrete subclasses for the order of parameters. Subclasses may provide convenience methods for setting parameters, i.e. SetDegreesOfFreedom(), etc.

virtual int itk::LightObject::GetReferenceCount ( ) const
inlinevirtualinherited

Gets the reference count on this object.

Definition at line 112 of file itkLightObject.h.

const TimeStamp & itk::Object::GetTimeStamp ( ) const
virtualinherited

Return this object's time stamp.

Return the modification for this object.

Reimplemented in itk::RealTimeClock.

Definition at line 293 of file itkObject.cxx.

Referenced by itk::RealTimeClock::GetTimeStamp().

double itk::Statistics::GaussianDistribution::GetVariance ( ) const
virtual

Get the variance of the Gaussian distribution. Defaults to 1.0. The variance is stored in position 1 of the parameters vector.

Implements itk::Statistics::ProbabilityDistribution.

Definition at line 99 of file itkGaussianDistribution.cxx.

static void itk::Object::GlobalWarningDisplayOff ( )
inlinestaticinherited

Definition at line 118 of file itkObject.h.

Referenced by itk::OutputWindow::DisplayText().

static void itk::Object::GlobalWarningDisplayOn ( )
inlinestaticinherited

Definition at line 116 of file itkObject.h.

virtual bool itk::Statistics::GaussianDistribution::HasMean ( ) const
inlinevirtual

Does this distribution have a mean?

Implements itk::Statistics::ProbabilityDistribution.

Definition at line 133 of file itkGaussianDistribution.h.

bool itk::Object::HasObserver ( const EventObject event) const
inherited

Return true if an observer is registered for this event.

Definition at line 472 of file itkObject.cxx.

virtual bool itk::Statistics::GaussianDistribution::HasVariance ( ) const
inlinevirtual

Does this distribution have a variance?

Implements itk::Statistics::ProbabilityDistribution.

Definition at line 145 of file itkGaussianDistribution.h.

LightObject::Pointer itk::LightObject::InternalClone ( ) const
protectedvirtualinherited
double itk::Statistics::GaussianDistribution::InverseCDF ( double  p)
static

Static method to evaluate the inverse cumulative distribution function of a standardized (mean zero, unit variance) Gaussian. The static method provides optimized access without requiring an instance of the class. Parameter p must be between 0.0 and 1.0.

THis implementation was provided by Robert W. Cox from the Biophysics Research Institute at the Medical College of Wisconsin. This function is based off of a rational polynomial approximation to the inverse Gaussian CDF which can be found in M. Abramowitz and I.A. Stegun. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. John Wiley & Sons. New York. Equation 26.2.23. pg. 933. 1972.

Since the initial approximation only provides an estimate within 4.5 E-4 of the true value, 3 Newton-Raphson interations are used to refine the approximation. Accuracy is approximately 10^-8.

Let, Q(x) = (1/sqrt(2*pi)) Int_{x}^{infinity} e^{-t^2/2} dt = 0.5 * erfc(x/sqrt(2))

Given p, this function computes x such that Q(x) = p, for 0 < p < 1

Note that the Gaussian CDF is defined as P(x) = (1/sqrt(2*pi)) Int_{-infinity}{x} e^{-t^2/2} dt = 1 - Q(x)

This function has been modified to compute the inverse of P(x) instead of Q(x).

Step 1: use 26.2.23 from Abramowitz and Stegun

Step 2: do 3 Newton steps to improve this

Definition at line 229 of file itkGaussianDistribution.cxx.

References itk::Math::e, itk::NumericTraits< T >::max(), itk::NumericTraits< T >::NonpositiveMin(), and itk::Math::sqrt1_2.

Referenced by EvaluateInverseCDF(), itk::Statistics::ChiSquareDistribution::InverseCDF(), itk::Statistics::TDistribution::InverseCDF(), and InverseCDF().

double itk::Statistics::GaussianDistribution::InverseCDF ( double  p,
const ParametersType params 
)
static

Static method to evaluate the inverse cumulative distribution function of a Gaussian. The parameters of the distribution are passed as a parameter vector. The ordering of the parameters is (mean, variance). The static method provides optimized access without requiring an instance of the class. Parameter p must be between 0.0 and 1.0

Definition at line 305 of file itkGaussianDistribution.cxx.

References itk::Array< TValueType >::GetSize(), and InverseCDF().

double itk::Statistics::GaussianDistribution::InverseCDF ( double  p,
double  mean,
double  variance 
)
static

Static method to evaluate the inverse cumulative distribution function of a Gaussian. The parameters of the distribution are passed as separate values. The static method provides optimized access without requiring an instance of the class. Parameter p must be between 0.0 and 1.0

Definition at line 282 of file itkGaussianDistribution.cxx.

References InverseCDF().

void itk::Object::InvokeEvent ( const EventObject event)
inherited
void itk::Object::InvokeEvent ( const EventObject event) const
inherited

Call Execute on all the Commands observing this event id. The actions triggered by this call doesn't modify this object.

Definition at line 462 of file itkObject.cxx.

itk::LightObject::itkCloneMacro ( Self  )
inherited
void itk::Object::Modified ( void  ) const
virtualinherited

Update the modification time for this object. Many filters rely on the modification time to determine if they need to recompute their data.

Make sure this object's modified time is greater than all others.

Reimplemented in otb::SVMModel< TValue, TLabel >, itk::ImageAdaptor< TImage, TAccessor >, itk::ImageAdaptor< TImage, Accessor::AsinPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::SqrtPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, otb::Accessor::VectorImageToASPixelAccessor< TImage::PixelType::ValueType > >, itk::ImageAdaptor< TImage, Accessor::TanPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::CosPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::VectorToRGBPixelAccessor< TImage::PixelType::ValueType > >, itk::ImageAdaptor< TImage, Accessor::RGBToVectorPixelAccessor< TImage::PixelType::ComponentType > >, itk::ImageAdaptor< TImage, Accessor::ComplexToModulusPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::AbsPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::ShiftScalePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::SinPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::LogPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::ComplexToPhasePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< VectorImage< TPixelType, Dimension >, Accessor::VectorImageToImagePixelAccessor< TPixelType > >, itk::ImageAdaptor< TImage, Accessor::Log10PixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::AtanPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::ComplexToRealPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::ComplexToImaginaryPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::ExpNegativePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::ComplexConjugatePixelAccessor< TImage::PixelType > >, itk::ImageAdaptor< TImage, Accessor::ExpPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::AcosPixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::RGBToLuminancePixelAccessor< TImage::PixelType, TOutputPixelType > >, itk::ImageAdaptor< TImage, Accessor::AddPixelAccessor< TImage::PixelType > >, otb::SurfaceAdjacencyEffect6SCorrectionSchemeFilter< TInputImage, TOutputImage >, otb::GenericRSTransform< TScalarType, NInputDimensions, NOutputDimensions >, itk::GPUImage< TPixel, VImageDimension >, otb::MeanShiftImageFilter< TInputImage, TOutputImage, TLabeledOutput, TBufferConverter >, otb::MeanShiftImageFilter< TInputImage, TOutputImage, TLabeledOutput, MeanShift::VectorBufferConverter >, otb::GCPsToRPCSensorModelImageFilter< TImage >, otb::Polygon< TValue >, otb::ImageRegionAdaptativeSplitter< VImageDimension >, itk::GrayscaleErodeImageFilter< TInputImage, TOutputImage, TKernel >, itk::GrayscaleMorphologicalClosingImageFilter< TInputImage, TOutputImage, TKernel >, itk::GrayscaleDilateImageFilter< TInputImage, TOutputImage, TKernel >, otb::GenericInterpolateImageFunction< TInputImage, TFunction, TBoundaryCondition, TCoordRep >, itk::MorphologicalGradientImageFilter< TInputImage, TOutputImage, TKernel >, itk::GrayscaleMorphologicalOpeningImageFilter< TInputImage, TOutputImage, TKernel >, otb::PolyLineParametricPathWithValue< TValue, VDimension >, otb::PolyLineParametricPathWithValue< TValue, 2 >, otb::PhysicalToRPCSensorModelImageFilter< TImage >, itk::NormalizeImageFilter< TInputImage, TOutputImage >, and otb::StatisticsXMLFileReader< TMeasurementVector >.

Definition at line 312 of file itkObject.cxx.

Referenced by itk::AttributeSelectionLabelMapFilter< TImage, Functor::LabelLabelObjectAccessor< TImage::LabelObjectType > >::AddAttribute(), itk::Function::ConvergenceMonitoringFunction< TScalar, TScalar >::AddEnergyValue(), otb::Wrapper::InputVectorDataListParameter::AddFromFileName(), otb::Wrapper::InputImageListParameter::AddFromFileName(), otb::Wrapper::InputFilenameListParameter::AddFromFileName(), otb::Wrapper::InputImageListParameter::AddImage(), otb::Wrapper::InputVectorDataListParameter::AddNullElement(), otb::Wrapper::InputImageListParameter::AddNullElement(), otb::Wrapper::InputFilenameListParameter::AddNullElement(), otb::Wrapper::StringListParameter::AddNullElement(), itk::ConnectedRegionsMeshFilter< TInputMesh, TOutputMesh >::AddSeed(), itk::ConnectedRegionsMeshFilter< TInputMesh, TOutputMesh >::AddSpecifiedRegion(), otb::Wrapper::InputVectorDataListParameter::AddVectorData(), itk::PolyLineParametricPath< VDimension >::AddVertex(), itk::ChainCodePath< 2 >::ChangeStep(), itk::ChainCodePath2D::ChangeStep(), itk::FourierSeriesPath< VDimension >::Clear(), itk::HilbertPath< TIndexValue, VDimension >::Clear(), itk::ChainCodePath< 2 >::Clear(), itk::ChainCodePath2D::Clear(), itk::AttributeSelectionLabelMapFilter< TImage, Functor::LabelLabelObjectAccessor< TImage::LabelObjectType > >::ClearAttributeSet(), itk::Function::ConvergenceMonitoringFunction< TScalar, TScalar >::ClearEnergyValues(), itk::MultiTransform< TScalar, NDimensions >::ClearTransformQueue(), otb::Wrapper::InputFilenameListParameter::ClearValue(), otb::Wrapper::InputImageListParameter::ClearValue(), otb::Wrapper::InputVectorDataListParameter::ClearValue(), otb::Wrapper::InputFilenameListParameter::Erase(), otb::Wrapper::InputImageListParameter::Erase(), otb::Wrapper::InputVectorDataListParameter::Erase(), itk::ConnectedRegionsMeshFilter< TInputMesh, TOutputMesh >::InitializeSeedList(), itk::ConnectedRegionsMeshFilter< TInputMesh, TOutputMesh >::InitializeSpecifiedRegionList(), itk::NarrowBandImageFilterBase< TInputImage, Image< TOutputPixelType, TInputImage::ImageDimension > >::InsertNarrowBandNode(), itk::ChainCodePath2D::InsertStep(), itk::ChainCodePath< 2 >::InsertStep(), otb::ogr::ImageReference< double >::Modified(), itk::MultiTransform< TScalar, NDimensions >::PopBackTransform(), itk::MultiTransform< TScalar, NDimensions >::PopFrontTransform(), itk::MultiTransform< TScalar, NDimensions >::PushBackTransform(), itk::MultiTransform< TScalar, NDimensions >::PushFrontTransform(), itk::Statistics::SubsamplerBase< TSample >::RequestMaximumNumberOfResults(), itk::AdaptImageFilter< TInputImage, TOutputImage, TAccessor >::SetAccessor(), itk::SegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetAdvectionScaling(), itk::FastMarchingImageFilter< TLevelSet, TSpeedImage >::SetAlivePoints(), itk::CompositeTransform< TScalar, NDimensions >::SetAllTransformsToOptimize(), itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::SetAlpha(), itk::WeightedAddImageFilter< TInputImage1, TInputImage2, TOutputImage >::SetAlpha(), itk::SigmoidImageFilter< TInputImage, TOutputImage >::SetAlpha(), itk::AttributeSelectionLabelMapFilter< TImage, Functor::LabelLabelObjectAccessor< TImage::LabelObjectType > >::SetAttributeSet(), itk::LevelSetVelocityNeighborhoodExtractor< TLevelSet, TAuxValue, VAuxDimension >::SetAuxImage(), itk::SigmoidImageFilter< TInputImage, TOutputImage >::SetBeta(), itk::FastMarchingImageFilter< TLevelSet, TSpeedImage >::SetBinaryMask(), otb::TileMapImageIO::SetCacheDirectory(), itk::MatrixOffsetTransformBase< TScalar, 3, 3 >::SetCenter(), itk::ConnectedRegionsMeshFilter< TInputMesh, TOutputMesh >::SetClosestPoint(), itk::ConstantPadImageFilter< TInputImage, TOutputImage >::SetConstant(), itk::DivideOrZeroOutImageFilter< TInputImage1, TInputImage2, TOutputImage >::SetConstant(), itk::LBFGSBOptimizer::SetCostFunction(), itk::VectorThresholdSegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetCovariance(), itk::SegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetCurvatureScaling(), itk::CurvesLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetDerivativeSigma(), itk::NarrowBandCurvesLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetDerivativeSigma(), itk::GeodesicActiveContourLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetDerivativeSigma(), itk::GeodesicActiveContourShapePriorLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetDerivativeSigma(), otb::ImageIOBase::SetDimensions(), itk::ImageIOBase::SetDimensions(), otb::ImageIOBase::SetDirection(), itk::ImageIOBase::SetDirection(), itk::ExtractImageFilter< TInputImage, TOutputImage >::SetDirectionCollapseToStrategy(), itk::ComposeDisplacementFieldsImageFilter< TInputImage, TOutputImage >::SetDisplacementField(), itk::InvertDisplacementFieldImageFilter< TInputImage, TOutputImage >::SetDisplacementField(), itk::ThresholdSegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetEdgeWeight(), itk::NarrowBandThresholdSegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetEdgeWeight(), itk::watershed::Boundary< TScalar, TDimension >::SetFace(), itk::ExpNegativeImageFilter< TInputImage, TOutputImage >::SetFactor(), itk::FileListVideoIO::SetFileName(), itk::AnisotropicDiffusionImageFilter< TInputImage, TOutputImage >::SetFixedAverageGradientMagnitude(), itk::watershed::Boundary< TScalar, TDimension >::SetFlatHash(), itk::NaryFunctorImageFilter< TInputImage, TOutputImage, Functor::Maximum1< TInputImage::PixelType, TInputImage::PixelType > >::SetFunctor(), itk::UnaryFunctorImageFilter< TInputImage, TOutputImage, Functor::ReciprocalHAlphaFunctor< TInputImage::PixelType, TOutputImage::PixelType > >::SetFunctor(), itk::HistogramToImageFilter< THistogram, TImage, Function::HistogramIntensityFunction< SizeValueType, TImage::PixelType > >::SetFunctor(), itk::TernaryFunctorImageFilter< TInputMultiSpectralImage, TInputMultiSpectralInterpImage, TInputPanchroImage, TOutputImage, TFunctor >::SetFunctor(), itk::ConnectedComponentFunctorImageFilter< TInputImage, TOutputImage, Functor::SimilarVectorsFunctor< TInputImage::ValueType >, TMaskImage >::SetFunctor(), itk::BinaryFunctorImageFilter< TInputImage1, TInputImage2, TOutputImage, Functor::DivideOrZeroOut< TInputImage1::PixelType, TInputImage2::PixelType, TOutputImage::PixelType > >::SetFunctor(), itk::ImageMomentsCalculator< TImage >::SetImage(), otb::Wrapper::InputImageListParameter::SetImageList(), itk::VectorIndexSelectionCastImageFilter< TInputImage, TOutputImage >::SetIndex(), itk::MatrixIndexSelectionImageFilter< TInputImage, TOutputImage >::SetIndices(), itk::TriangleMeshToBinaryImageFilter< TInputMesh, TOutputImage >::SetInfoImage(), itk::MRIBiasFieldCorrectionFilter< TInputImage, TOutputImage, TMaskImage >::SetInitialBiasFieldCoefficients(), itk::AmoebaOptimizer::SetInitialSimplexDelta(), itk::HistogramAlgorithmBase< THistogram >::SetInputHistogram(), otb::HistogramStatisticsFunction< TInputHistogram, TOutput >::SetInputHistogram(), otb::ImageToGenericRSOutputParameters< TImage >::SetInputKeywordList(), itk::LabelVotingImageFilter< TInputImage, TOutputImage >::SetLabelForUndecidedPixels(), itk::MultiLabelSTAPLEImageFilter< TInputImage, TOutputImage, TWeights >::SetLabelForUndecidedPixels(), itk::watershed::Segmenter< InputImageType >::SetLargestPossibleRegion(), itk::TemporalDataObject::SetLargestPossibleTemporalRegion(), otb::Wrapper::InputImageListParameter::SetListFromFileName(), otb::Wrapper::InputVectorDataListParameter::SetListFromFileName(), otb::Wrapper::InputFilenameListParameter::SetListFromFileName(), itk::ThresholdSegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetLowerThreshold(), itk::NarrowBandThresholdSegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetLowerThreshold(), itk::MaskNegatedImageFilter< TInputImage, TMaskImage, TOutputImage >::SetMaskingValue(), itk::MaskImageFilter< TInputImage, TMaskImage, TOutputImage >::SetMaskingValue(), itk::MatrixOffsetTransformBase< TScalar, 3, 3 >::SetMatrix(), itk::SegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetMaximumCurvatureTimeStep(), itk::watershed::SegmentTable< TScalar >::SetMaximumDepth(), itk::DiscreteGaussianImageFilter< TInputImage, TOutputImage >::SetMaximumError(), itk::CannyEdgeDetectionImageFilter< ImageType, ImageType >::SetMaximumError(), itk::MultiLabelSTAPLEImageFilter< TInputImage, TOutputImage, TWeights >::SetMaximumNumberOfIterations(), itk::SegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetMaximumPropagationTimeStep(), itk::VectorThresholdSegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetMean(), itk::Statistics::MembershipFunctionBase< TMeasurementVector >::SetMeasurementVectorSize(), itk::Statistics::DistanceMetric< Array< double > >::SetMeasurementVectorSize(), itk::Statistics::Sample< ImageJointDomainTraits< TImage >::MeasurementVectorType >::SetMeasurementVectorSize(), itk::NarrowBandImageFilterBase< TInputImage, Image< TOutputPixelType, TInputImage::ImageDimension > >::SetNarrowBand(), itk::NarrowBandImageFilterBase< TInputImage, Image< TOutputPixelType, TInputImage::ImageDimension > >::SetNarrowBandInnerRadius(), itk::NarrowBandImageFilterBase< TInputImage, Image< TOutputPixelType, TInputImage::ImageDimension > >::SetNarrowBandTotalRadius(), itk::OpenCVVideoIO::SetNextFrameToRead(), itk::VXLVideoIO::SetNextFrameToRead(), otb::Wrapper::InputImageListParameter::SetNthFileName(), otb::Wrapper::InputVectorDataListParameter::SetNthFileName(), otb::Wrapper::InputFilenameListParameter::SetNthFileName(), itk::CompositeTransform< TScalar, NDimensions >::SetNthTransformToOptimize(), otb::ImageIOBase::SetNumberOfDimensions(), itk::ImageIOBase::SetNumberOfDimensions(), itk::SparseFieldFourthOrderLevelSetImageFilter< TInputImage, TOutputImage >::SetNumberOfLayers(), itk::Statistics::UniformRandomSpatialNeighborSubsampler< TSample, TRegion >::SetNumberOfResultsRequested(), itk::FastMarchingReachedTargetNodesStoppingCriterion< TInput, TOutput >::SetNumberOfTargetsToBeReached(), itk::MatrixOffsetTransformBase< TScalar, 3, 3 >::SetOffset(), itk::NeighborhoodOperatorImageFunction< TInputImage, TOutput >::SetOperator(), itk::VectorNeighborhoodOperatorImageFilter< TInputImage, TOutputImage >::SetOperator(), itk::NeighborhoodOperatorImageFilter< TInputImage, TOutputImage, TOperatorValueType >::SetOperator(), otb::ImageIOBase::SetOrigin(), itk::ImageIOBase::SetOrigin(), itk::SigmoidImageFilter< TInputImage, TOutputImage >::SetOutputMaximum(), itk::SigmoidImageFilter< TInputImage, TOutputImage >::SetOutputMinimum(), otb::ImageToGenericRSOutputParameters< TImage >::SetOutputProjectionRef(), itk::FastMarchingImageFilter< TLevelSet, TSpeedImage >::SetOutsidePoints(), itk::MaskNegatedImageFilter< TInputImage, TMaskImage, TOutputImage >::SetOutsideValue(), itk::MaskImageFilter< TInputImage, TMaskImage, TOutputImage >::SetOutsideValue(), otb::MapProjectionAdapter::SetParameter(), itk::Statistics::ProbabilityDistribution::SetParameters(), itk::DisplacementFieldTransform< TScalar, NDimensions >::SetParameters(), itk::FFTWInverseFFTImageFilter< TInputImage, TOutputImage >::SetPlanRigor(), itk::FFTWHalfHermitianToRealInverseFFTImageFilter< TInputImage, TOutputImage >::SetPlanRigor(), itk::FFTWRealToHalfHermitianForwardFFTImageFilter< TInputImage, TOutputImage >::SetPlanRigor(), itk::FFTWForwardFFTImageFilter< TInputImage, TOutputImage >::SetPlanRigor(), itk::MultiLabelSTAPLEImageFilter< TInputImage, TOutputImage, TWeights >::SetPriorProbabilities(), itk::SegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetPropagationScaling(), itk::ThresholdLabelerImageFilter< TInputImage, TOutputImage >::SetRealThresholds(), itk::ChangeInformationImageFilter< TInputImage >::SetReferenceImage(), itk::ImportImageFilter< TPixel, VImageDimension >::SetRegion(), itk::BinaryMask3DMeshSource< TInputImage, TOutputMesh >::SetRegionOfInterest(), itk::ScaleTransform< TScalar, NDimensions >::SetScale(), itk::CollidingFrontsImageFilter< TInputImage, TOutputImage >::SetSeedPoints1(), itk::CollidingFrontsImageFilter< TInputImage, TOutputImage >::SetSeedPoints2(), itk::SegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetSegmentationFunction(), itk::ShapePriorSegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetShapePriorScaling(), itk::ImageRegistrationMethodv4< TFixedImage, TMovingImage, TOutputTransform >::SetShrinkFactorsPerDimension(), itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::SetSigma(), itk::ThresholdSegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetSmoothingConductance(), itk::NarrowBandThresholdSegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetSmoothingConductance(), itk::ThresholdSegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetSmoothingIterations(), itk::NarrowBandThresholdSegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetSmoothingIterations(), itk::ThresholdSegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetSmoothingTimeStep(), itk::NarrowBandThresholdSegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetSmoothingTimeStep(), itk::PowellOptimizer::SetSpaceDimension(), otb::ImageIOBase::SetSpacing(), itk::ImageIOBase::SetSpacing(), itk::SpatialObject< TMesh::PointDimension >::SetSpacing(), itk::ImageMomentsCalculator< TImage >::SetSpatialObjectMask(), itk::FastMarchingImageFilter< TLevelSet, TSpeedImage >::SetSpeedConstant(), itk::FastMarchingReachedTargetNodesStoppingCriterion< TInput, TOutput >::SetTargetCondition(), itk::FastMarchingReachedTargetNodesStoppingCriterion< TInput, TOutput >::SetTargetNodes(), itk::FastMarchingUpwindGradientImageFilter< TLevelSet, TSpeedImage >::SetTargetPoints(), itk::MultiLabelSTAPLEImageFilter< TInputImage, TOutputImage, TWeights >::SetTerminationUpdateThreshold(), itk::DivideOrZeroOutImageFilter< TInputImage1, TInputImage2, TOutputImage >::SetThreshold(), itk::VectorThresholdSegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetThreshold(), itk::ThresholdLabelerImageFilter< TInputImage, TOutputImage >::SetThresholds(), itk::MatrixOffsetTransformBase< TScalar, 3, 3 >::SetTranslation(), itk::FastMarchingImageFilter< TLevelSet, TSpeedImage >::SetTrialPoints(), itk::ThresholdSegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetUpperThreshold(), itk::NarrowBandThresholdSegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetUpperThreshold(), itk::Statistics::UniformRandomSpatialNeighborSubsampler< TSample, TRegion >::SetUseClockForSeed(), itk::SegmentationLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType >::SetUseMinimalCurvature(), itk::watershed::Boundary< TScalar, TDimension >::SetValid(), otb::Wrapper::OutputProcessXMLParameter::SetValue(), otb::Wrapper::InputProcessXMLParameter::SetValue(), otb::Wrapper::OutputFilenameParameter::SetValue(), otb::Wrapper::InputFilenameParameter::SetValue(), otb::Wrapper::ListViewParameter::SetValue(), otb::Wrapper::ChoiceParameter::SetValue(), itk::DiscreteGaussianImageFilter< TInputImage, TOutputImage >::SetVariance(), itk::CannyEdgeDetectionImageFilter< ImageType, ImageType >::SetVariance(), otb::Wrapper::InputVectorDataListParameter::SetVectorDataList(), otb::MapProjectionAdapter::SetWkt(), itk::LabelVotingImageFilter< TInputImage, TOutputImage >::UnsetLabelForUndecidedPixels(), itk::MultiLabelSTAPLEImageFilter< TInputImage, TOutputImage, TWeights >::UnsetLabelForUndecidedPixels(), itk::MultiLabelSTAPLEImageFilter< TInputImage, TOutputImage, TWeights >::UnsetMaximumNumberOfIterations(), and itk::MultiLabelSTAPLEImageFilter< TInputImage, TOutputImage, TWeights >::UnsetPriorProbabilities().

static Pointer itk::Statistics::GaussianDistribution::New ( )
static

Method for creation through the object factory.

void itk::Statistics::GaussianDistribution::operator= ( const Self )
private
double itk::Statistics::GaussianDistribution::PDF ( double  x)
static

Static method to evaluate the probability density function (pdf) of a standardized (mean zero, unit variance) Gaussian. The static method provides optimized access without requiring an instance of the class.

Definition at line 163 of file itkGaussianDistribution.cxx.

References itk::Math::one_over_sqrt2pi.

Referenced by EvaluatePDF().

double itk::Statistics::GaussianDistribution::PDF ( double  x,
const ParametersType p 
)
static

Static method to evaluate the probability density function (pdf) of a Gaussian. The parameters of the distribution are passed as a parameter vector. The ordering of the parameters is (mean, variance). The static method provides optimized access without requiring an instance of the class.

Definition at line 180 of file itkGaussianDistribution.cxx.

References itk::Array< TValueType >::GetSize().

double itk::Statistics::GaussianDistribution::PDF ( double  x,
double  mean,
double  variance 
)
static

Static method to evaluate the probability density function (pdf) of a Gaussian. The parameters of the distribution are passed as separate values. The static method provides optimized access without requiring an instance of the class.

Definition at line 170 of file itkGaussianDistribution.cxx.

References itk::Math::one_over_sqrt2pi.

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

Cause the object to print itself out.

Avoid DLL boundary problems. This function will be common to all itk objects. It just calls the header/self/trailer virtual print methods, which can be overriden by subclasses (any itk object).

Definition at line 137 of file itkLightObject.cxx.

References itk::Indent::GetNextIndent().

Referenced by itk::operator<<(), and itk::VideoStream< TFrameType >::PrintSelf().

void itk::LightObject::PrintHeader ( std::ostream &  os,
Indent  indent 
) const
protectedvirtualinherited

Define a default print header for all objects.

Definition at line 315 of file itkLightObject.cxx.

bool itk::Object::PrintObservers ( std::ostream &  os,
Indent  indent 
) const
protectedinherited

Definition at line 483 of file itkObject.cxx.

void itk::Statistics::GaussianDistribution::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.

Chaining method to print an object's instance variables, as well as its superclasses.

Reimplemented from itk::Object.

Definition at line 487 of file itkGaussianDistribution.cxx.

void itk::LightObject::PrintTrailer ( std::ostream &  os,
Indent  indent 
) const
protectedvirtualinherited

Define a default print trailer for all objects.

Definition at line 325 of file itkLightObject.cxx.

void itk::Object::Register ( ) const
virtualinherited

Increase the reference count (mark as used by another object).

Reimplemented from itk::LightObject.

Definition at line 323 of file itkObject.cxx.

Referenced by itk::ObjectFactoryBase::RegisterFactory(), and itk::ObjectFactoryBase::RegisterFactoryInternal().

void itk::Object::RemoveAllObservers ( )
inherited

Remove all observers .

Definition at line 442 of file itkObject.cxx.

void itk::Object::RemoveObserver ( unsigned long  tag)
inherited

Remove the observer with this tag value.

Definition at line 432 of file itkObject.cxx.

Referenced by otb::StreamingImageVirtualWriter< TInputImage >::GenerateData(), and otb::ImageFileWriter< TInputImage >::Update().

void itk::Object::SetDebug ( bool  debugFlag) const
inherited

Set the value of the debug flag. A non-zero value turns debugging on.

Definition at line 273 of file itkObject.cxx.

void itk::Object::SetGlobalWarningDisplay ( bool  val)
staticinherited

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

Set the value of the global debug output control flag.

Definition at line 381 of file itkObject.cxx.

void itk::Statistics::GaussianDistribution::SetMean ( double  mean)
virtual

Set the mean of the Gaussian distribution. Defaults to 0.0. The mean is stored in position 0 of the parameters vector.

Definition at line 49 of file itkGaussianDistribution.cxx.

void itk::Object::SetMetaDataDictionary ( const MetaDataDictionary rhs)
inherited
virtual void itk::Object::SetObjectName ( std::string  _arg)
virtualinherited

A facility to help application programmers set a human identifiable name for a given object. This has no inherent use in ITK, but is a convenience to allow developers to provide a name for this object.

virtual void itk::Statistics::ProbabilityDistribution::SetParameters ( const ParametersType params)
inlinevirtualinherited

Set the parameters of the distribution. See concrete subclasses for the order of the parameters. Subclasses may provide convenience methods for setting parameters, i.e. SetDegreesOfFreedom(), etc.

Definition at line 100 of file itkProbabilityDistribution.h.

References itk::Array< TValueType >::GetSize(), itk::Statistics::ProbabilityDistribution::m_Parameters, and itk::Object::Modified().

void itk::Object::SetReferenceCount ( int  ref)
virtualinherited

Sets the reference count (use with care)

If there is a delete method, invoke it.

Reimplemented from itk::LightObject.

Definition at line 359 of file itkObject.cxx.

void itk::Object::SetTimeStamp ( const TimeStamp timeStamp)
protectedvirtualinherited

Set the time stamp of this object. This method must be used very carefully !!!. Most mortals will never need to call this method.

Set the time stamp of this object. To be used very carefully !!!. Most mortals will never need to call this method.

Definition at line 302 of file itkObject.cxx.

void itk::Statistics::GaussianDistribution::SetVariance ( double  variance)
virtual

Set the variance of the Gaussian distribution. Defaults to 1.0. The variance is stored in position 1 of the parameters vector.

Definition at line 113 of file itkGaussianDistribution.cxx.

void itk::Object::UnRegister ( ) const
virtualinherited

Decrease the reference count (release by another object).

If there is a delete method, invoke it.

Reimplemented from itk::LightObject.

Definition at line 337 of file itkObject.cxx.

Referenced by itk::ObjectFactoryBase::DeleteNonInternalFactory(), and itk::Object::New().

Member Data Documentation

ParametersType itk::Statistics::ProbabilityDistribution::m_Parameters
protectedinherited
InternalReferenceCountType itk::LightObject::m_ReferenceCount
mutableprotectedinherited

Number of uses of this object by other objects.

Definition at line 156 of file itkLightObject.h.

SimpleFastMutexLock itk::LightObject::m_ReferenceCountLock
mutableprotectedinherited

Mutex lock to protect modification to the reference count

Definition at line 159 of file itkLightObject.h.


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

Generated at Sat Mar 8 2014 18:02:30 for Orfeo Toolbox with doxygen 1.8.3.1