itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep > Class Template Reference

#include <itkGaussianInterpolateImageFunction.h>

Detailed Description

template<typename TInputImage, typename TCoordRep = double>
class itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >

Evaluates the Gaussian interpolation of an image.

This class defines an N-dimensional Gaussian interpolation function using the vnl error function. The two parameters associated with this function are:

1. Sigma - a scalar array of size ImageDimension determining the width of the interpolation function.
2. Alpha - a scalar specifying the cutoff distance over which the function is calculated.

This work was originally described in the Insight Journal article: P. Yushkevich, N. Tustison, J. Gee, Gaussian interpolation.

See also

{https://doi.org/10.54294/n8k79e}

Author

Paul Yushkevich

Nick Tustison

Definition at line 54 of file itkGaussianInterpolateImageFunction.h.

Inheritance diagram for itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >:

Collaboration diagram for itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >:

Public Types
using	ArrayType = FixedArray< RealType, ImageDimension >
using	ConstPointer = SmartPointer< const Self >
using	Pointer = SmartPointer< Self >
using	Self = GaussianInterpolateImageFunction
using	Superclass = InterpolateImageFunction< TInputImage, TCoordRep >
Public Types inherited from itk::InterpolateImageFunction< TInputImage, TCoordRep >
using	ConstPointer = SmartPointer< const Self >
using	Pointer = SmartPointer< Self >
using	RealType = typename NumericTraits< typename TInputImage::PixelType >::RealType
using	Self = InterpolateImageFunction
using	SizeType = typename InputImageType::SizeType
using	Superclass = ImageFunction< TInputImage, typename NumericTraits< typename TInputImage::PixelType >::RealType, TCoordRep >
Public Types inherited from itk::ImageFunction< TInputImage, NumericTraits< TInputImage::PixelType >::RealType, TCoordRep >
using	ConstPointer = SmartPointer< const Self >
using	ContinuousIndexType = ContinuousIndex< TCoordRep, Self::ImageDimension >
using	CoordRepType = TCoordRep
using	IndexType = typename InputImageType::IndexType
using	IndexValueType = typename InputImageType::IndexValueType
using	InputImageConstPointer = typename InputImageType::ConstPointer
using	InputImageType = TInputImage
using	InputPixelType = typename InputImageType::PixelType
using	OutputType = NumericTraits< TInputImage::PixelType >::RealType
using	Pointer = SmartPointer< Self >
using	PointType = Point< TCoordRep, Self::ImageDimension >
using	Self = ImageFunction
using	Superclass = FunctionBase< Point< TCoordRep, Self::ImageDimension >, NumericTraits< TInputImage::PixelType >::RealType >
Public Types inherited from itk::FunctionBase< Point< TCoordRep, TInputImage::ImageDimension >, NumericTraits< TInputImage::PixelType >::RealType >
using	ConstPointer = SmartPointer< const Self >
using	InputType = Point< TCoordRep, TInputImage::ImageDimension >
using	OutputType = NumericTraits< TInputImage::PixelType >::RealType
using	Pointer = SmartPointer< Self >
using	Self = FunctionBase
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
OutputType	EvaluateAtContinuousIndex (const ContinuousIndexType &cindex) const override
const char *	GetNameOfClass () const override
SizeType	GetRadius () const override
void	SetInputImage (const TInputImage *image) override
virtual void	SetSigma (const ArrayType s)
virtual void	SetSigma (RealType *s)
virtual ArrayType	GetSigma () const
virtual void	SetAlpha (const RealType a)
virtual RealType	GetAlpha () const
virtual void	SetParameters (RealType *sigma, RealType alpha)
Public Member Functions inherited from itk::InterpolateImageFunction< TInputImage, TCoordRep >
OutputType	EvaluateAtIndex (const IndexType &index) const override
const char *	GetNameOfClass () const override
OutputType	Evaluate (const PointType &point) const override
Public Member Functions inherited from itk::ImageFunction< TInputImage, NumericTraits< TInputImage::PixelType >::RealType, TCoordRep >
void	ConvertContinuousIndexToNearestIndex (const ContinuousIndexType &cindex, IndexType &index) const
void	ConvertPointToContinuousIndex (const PointType &point, ContinuousIndexType &cindex) const
virtual const ContinuousIndexType &	GetEndContinuousIndex () const
virtual const IndexType &	GetEndIndex () const
const InputImageType *	GetInputImage () const
const char *	GetNameOfClass () const override
virtual const ContinuousIndexType &	GetStartContinuousIndex () const
virtual const IndexType &	GetStartIndex () const
virtual bool	IsInsideBuffer (const IndexType &index) const
virtual bool	IsInsideBuffer (const ContinuousIndexType &index) const
virtual bool	IsInsideBuffer (const PointType &point) const
void	ConvertPointToNearestIndex (const PointType &point, IndexType &index) const
Public Member Functions inherited from itk::Object
unsigned long	AddObserver (const EventObject &event, Command *cmd) const
unsigned long	AddObserver (const EventObject &event, std::function< void(const EventObject &)> function) const
LightObject::Pointer	CreateAnother () const override
virtual void	DebugOff () const
virtual void	DebugOn () const
Command *	GetCommand (unsigned long tag)
bool	GetDebug () const
MetaDataDictionary &	GetMetaDataDictionary ()
const MetaDataDictionary &	GetMetaDataDictionary () const
virtual ModifiedTimeType	GetMTime () const
virtual const TimeStamp &	GetTimeStamp () 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) const
void	SetDebug (bool debugFlag) const
void	SetReferenceCount (int) override
void	UnRegister () const noexcept override
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
Pointer	Clone () const
virtual void	Delete ()
virtual int	GetReferenceCount () const
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 val)
Static Public Member Functions inherited from itk::LightObject
static void	BreakOnError ()
static Pointer	New ()

Static Public Attributes
static constexpr unsigned int	ImageDimension = TInputImage::ImageDimension
Static Public Attributes inherited from itk::InterpolateImageFunction< TInputImage, TCoordRep >
static constexpr unsigned int	ImageDimension = Superclass::ImageDimension
Static Public Attributes inherited from itk::ImageFunction< TInputImage, NumericTraits< TInputImage::PixelType >::RealType, TCoordRep >
static constexpr unsigned int	ImageDimension

Protected Types
using	RegionType = ImageRegion< ImageDimension >

Protected Member Functions
virtual void	ComputeBoundingBox ()
virtual void	ComputeErrorFunctionArray (const RegionType &region, unsigned int dimension, RealType cindex, vnl_vector< RealType > &erfArray, vnl_vector< RealType > &gerfArray, bool evaluateGradient=false) const
RegionType	ComputeInterpolationRegion (const ContinuousIndexType &) const
	GaussianInterpolateImageFunction ()
void	PrintSelf (std::ostream &os, Indent indent) const override
	~GaussianInterpolateImageFunction () override=default
virtual void	SetBoundingBoxStart (ArrayType _arg)
virtual ArrayType	GetBoundingBoxStart () const
virtual void	SetBoundingBoxEnd (ArrayType _arg)
virtual ArrayType	GetBoundingBoxEnd () const
virtual void	SetCutOffDistance (ArrayType _arg)
virtual ArrayType	GetCutOffDistance () const
Protected Member Functions inherited from itk::InterpolateImageFunction< TInputImage, TCoordRep >
	InterpolateImageFunction ()=default
void	PrintSelf (std::ostream &os, Indent indent) const override
	~InterpolateImageFunction () override=default
Protected Member Functions inherited from itk::ImageFunction< TInputImage, NumericTraits< TInputImage::PixelType >::RealType, TCoordRep >
	ImageFunction ()
void	PrintSelf (std::ostream &os, Indent indent) const override
	~ImageFunction () override=default
Protected Member Functions inherited from itk::FunctionBase< Point< TCoordRep, TInputImage::ImageDimension >, NumericTraits< TInputImage::PixelType >::RealType >
	FunctionBase ()=default
	~FunctionBase () override=default
Protected Member Functions inherited from itk::Object
	Object ()
bool	PrintObservers (std::ostream &os, Indent indent) const
virtual void	SetTimeStamp (const TimeStamp &timeStamp)
	~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 Member Functions
virtual OutputType	EvaluateAtContinuousIndex (const ContinuousIndexType &, OutputType *) const

Private Attributes
RealType	m_Alpha {}
ArrayType	m_BoundingBoxEnd {}
ArrayType	m_BoundingBoxStart {}
ArrayType	m_CutOffDistance {}
ArrayType	m_ScalingFactor {}
ArrayType	m_Sigma {}

Additional Inherited Members
Protected Attributes inherited from itk::ImageFunction< TInputImage, NumericTraits< TInputImage::PixelType >::RealType, TCoordRep >
ContinuousIndexType	m_EndContinuousIndex
IndexType	m_EndIndex
InputImageConstPointer	m_Image
ContinuousIndexType	m_StartContinuousIndex
IndexType	m_StartIndex
Protected Attributes inherited from itk::LightObject
std::atomic< int >	m_ReferenceCount {}

Member Typedef Documentation

ArrayType

template<typename TInputImage , typename TCoordRep = double>

using itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::ArrayType = FixedArray<RealType, ImageDimension>

Array type alias support

Definition at line 94 of file itkGaussianInterpolateImageFunction.h.

ConstPointer

template<typename TInputImage , typename TCoordRep = double>

using itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::ConstPointer = SmartPointer<const Self>

Definition at line 63 of file itkGaussianInterpolateImageFunction.h.

Pointer

template<typename TInputImage , typename TCoordRep = double>

using itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::Pointer = SmartPointer<Self>

Definition at line 62 of file itkGaussianInterpolateImageFunction.h.

RegionType

template<typename TInputImage , typename TCoordRep = double>

using itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::RegionType = ImageRegion<ImageDimension>

protected

Definition at line 171 of file itkGaussianInterpolateImageFunction.h.

Self

template<typename TInputImage , typename TCoordRep = double>

using itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::Self = GaussianInterpolateImageFunction

Standard class type aliases.

Definition at line 60 of file itkGaussianInterpolateImageFunction.h.

Superclass

template<typename TInputImage , typename TCoordRep = double>

using itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::Superclass = InterpolateImageFunction<TInputImage, TCoordRep>

Definition at line 61 of file itkGaussianInterpolateImageFunction.h.

Constructor & Destructor Documentation

GaussianInterpolateImageFunction()

template<typename TInputImage , typename TCoordRep = double>

itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::GaussianInterpolateImageFunction ( )

protected

~GaussianInterpolateImageFunction()

template<typename TInputImage , typename TCoordRep = double>

itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::~GaussianInterpolateImageFunction ( )

overrideprotecteddefault

Member Function Documentation

ComputeBoundingBox()

template<typename TInputImage , typename TCoordRep = double>

virtual void itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::ComputeBoundingBox ( )

protectedvirtual

ComputeErrorFunctionArray()

template<typename TInputImage , typename TCoordRep = double>

virtual void itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::ComputeErrorFunctionArray ( const RegionType &  region, unsigned int  dimension, RealType  cindex, vnl_vector< RealType > &  erfArray, vnl_vector< RealType > &  gerfArray, bool  evaluateGradient = false  ) const

protectedvirtual

ComputeInterpolationRegion()

template<typename TInputImage , typename TCoordRep = double>

RegionType itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::ComputeInterpolationRegion ( const ContinuousIndexType &  ) const

protected

Compute the region which we need to loop over.

EvaluateAtContinuousIndex() [1/2]

template<typename TInputImage , typename TCoordRep = double>

virtual OutputType itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::EvaluateAtContinuousIndex ( const ContinuousIndexType &  , OutputType *    ) const

privatevirtual

Evaluate function value.

Reimplemented in itk::LabelImageGaussianInterpolateImageFunction< TInputImage, TCoordRep, TPixelCompare >.

EvaluateAtContinuousIndex() [2/2]

template<typename TInputImage , typename TCoordRep = double>

OutputType itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::EvaluateAtContinuousIndex ( const ContinuousIndexType &  cindex ) const

inlineoverridevirtual

Evaluate at the given index.

Implements itk::InterpolateImageFunction< TInputImage, TCoordRep >.

Reimplemented in itk::LabelImageGaussianInterpolateImageFunction< TInputImage, TCoordRep, TPixelCompare >.

Definition at line 154 of file itkGaussianInterpolateImageFunction.h.

GetAlpha()

template<typename TInputImage , typename TCoordRep = double>

virtual RealType itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::GetAlpha ( ) const

virtual

Set/Get alpha.

GetBoundingBoxEnd()

template<typename TInputImage , typename TCoordRep = double>

virtual ArrayType itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::GetBoundingBoxEnd ( ) const

protectedvirtual

Set/Get the bounding box end point.

GetBoundingBoxStart()

template<typename TInputImage , typename TCoordRep = double>

virtual ArrayType itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::GetBoundingBoxStart ( ) const

protectedvirtual

Set/Get the bounding box starting point.

GetCutOffDistance()

template<typename TInputImage , typename TCoordRep = double>

virtual ArrayType itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::GetCutOffDistance ( ) const

protectedvirtual

Set/Get the cut-off distance.

GetNameOfClass()

template<typename TInputImage , typename TCoordRep = double>

const char* itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::GetNameOfClass ( ) const

overridevirtual

See also

LightObject::GetNameOfClass()

Reimplemented from itk::Object.

Reimplemented in itk::LabelImageGaussianInterpolateImageFunction< TInputImage, TCoordRep, TPixelCompare >.

GetRadius()

template<typename TInputImage , typename TCoordRep = double>

SizeType itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::GetRadius ( ) const

overridevirtual

Get the radius required for interpolation.

This defines the number of surrounding pixels required to interpolate at a given point.

Implements itk::InterpolateImageFunction< TInputImage, TCoordRep >.

GetSigma()

template<typename TInputImage , typename TCoordRep = double>

virtual ArrayType itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::GetSigma ( ) const

virtual

Set/Get sigma.

New()

template<typename TInputImage , typename TCoordRep = double>

static Pointer itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::New ( )

static

Method for creation through the object factory.

PrintSelf()

template<typename TInputImage , typename TCoordRep = double>

void itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::PrintSelf ( std::ostream &  os, Indent  indent  ) const

overrideprotectedvirtual

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::Object.

SetAlpha()

template<typename TInputImage , typename TCoordRep = double>

virtual void itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::SetAlpha ( const RealType  a )

inlinevirtual

Set/Get alpha.

Definition at line 131 of file itkGaussianInterpolateImageFunction.h.

References itk::Math::NotExactlyEquals().

SetBoundingBoxEnd()

template<typename TInputImage , typename TCoordRep = double>

virtual void itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::SetBoundingBoxEnd ( ArrayType  _arg )

protectedvirtual

Set/Get the bounding box end point.

SetBoundingBoxStart()

template<typename TInputImage , typename TCoordRep = double>

virtual void itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::SetBoundingBoxStart ( ArrayType  _arg )

protectedvirtual

Set/Get the bounding box starting point.

SetCutOffDistance()

template<typename TInputImage , typename TCoordRep = double>

virtual void itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::SetCutOffDistance ( ArrayType  _arg )

protectedvirtual

Set/Get the cut-off distance.

SetInputImage()

template<typename TInputImage , typename TCoordRep = double>

void itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::SetInputImage ( const TInputImage *  image )

inlineoverridevirtual

Set input image.

Reimplemented from itk::ImageFunction< TInputImage, NumericTraits< TInputImage::PixelType >::RealType, TCoordRep >.

Definition at line 98 of file itkGaussianInterpolateImageFunction.h.

SetParameters()

template<typename TInputImage , typename TCoordRep = double>

virtual void itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::SetParameters ( RealType *  sigma, RealType  alpha  )

inlinevirtual

Set/Get sigma and alpha.

Definition at line 145 of file itkGaussianInterpolateImageFunction.h.

SetSigma() [1/2]

template<typename TInputImage , typename TCoordRep = double>

virtual void itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::SetSigma ( const ArrayType  s )

inlinevirtual

Set/Get sigma.

Definition at line 107 of file itkGaussianInterpolateImageFunction.h.

SetSigma() [2/2]

template<typename TInputImage , typename TCoordRep = double>

virtual void itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::SetSigma ( RealType *  s )

inlinevirtual

Set/Get sigma.

Definition at line 117 of file itkGaussianInterpolateImageFunction.h.

Member Data Documentation

ImageDimension

template<typename TInputImage , typename TCoordRep = double>

constexpr unsigned int itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::ImageDimension = TInputImage::ImageDimension

staticconstexpr

ImageDimension constant.

Definition at line 72 of file itkGaussianInterpolateImageFunction.h.

m_Alpha

template<typename TInputImage , typename TCoordRep = double>

RealType itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::m_Alpha {}

private

Definition at line 207 of file itkGaussianInterpolateImageFunction.h.

m_BoundingBoxEnd

template<typename TInputImage , typename TCoordRep = double>

ArrayType itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::m_BoundingBoxEnd {}

private

Definition at line 210 of file itkGaussianInterpolateImageFunction.h.

m_BoundingBoxStart

template<typename TInputImage , typename TCoordRep = double>

ArrayType itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::m_BoundingBoxStart {}

private

Definition at line 209 of file itkGaussianInterpolateImageFunction.h.

m_CutOffDistance

template<typename TInputImage , typename TCoordRep = double>

ArrayType itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::m_CutOffDistance {}

private

Definition at line 212 of file itkGaussianInterpolateImageFunction.h.

m_ScalingFactor

template<typename TInputImage , typename TCoordRep = double>

ArrayType itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::m_ScalingFactor {}

private

Definition at line 211 of file itkGaussianInterpolateImageFunction.h.

m_Sigma

template<typename TInputImage , typename TCoordRep = double>

ArrayType itk::GaussianInterpolateImageFunction< TInputImage, TCoordRep >::m_Sigma {}

private

Definition at line 206 of file itkGaussianInterpolateImageFunction.h.

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

• itkGaussianInterpolateImageFunction.h