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itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep > Class Template Reference
Data Processing Objects » Functions » Image Functions | Data Processing Objects » Functions » Image Functions » Image Interpolators | Group Core » Module ITKImageFunction

#include <itkWindowedSincInterpolateImageFunction.h>

Detailed Description

template<typename TInputImage, unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
class itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >

Use the windowed sinc function to interpolate.

Author
Paul A. Yushkevich
THEORY

This function is intended to provide an interpolation function that has minimum aliasing artifacts, in contrast to linear interpolation. According to sampling theory, the infinite-support sinc filter, whose Fourier transform is the box filter, is optimal for resampling a function. In practice, the infinite support sinc filter is approximated using a limited support 'windowed' sinc filter.

This function is based on the following publication:
Erik H. W. Meijering, Wiro J. Niessen, Josien P. W. Pluim, Max A. Viergever: Quantitative Comparison of Sinc-Approximating Kernels for Medical Image Interpolation. MICCAI 1999, pp. 210-217
In this work, several 'windows' are estimated. In two dimensions, the interpolation at a position (x,y) is given by the following expression:

\[ I(x,y) = \sum_{i = \lfloor x \rfloor + 1 - m}^{\lfloor x \rfloor + m} \sum_{j = \lfloor y \rfloor + 1 - m}^{\lfloor y \rfloor + m} I_{i,j} K(x-i) K(y-j), \]

where m is the 'radius' of the window, (3,4 are reasonable numbers), and K(t) is the kernel function, composed of the sinc function and one of several possible window functions:

\[ K(t) = w(t) \textrm{sinc}(t) = w(t) \frac{\sin(\pi t)}{\pi t} \]

Several window functions are provided here in the itk::Function namespace. The conclusions of the referenced paper suggest to use the Welch, Cosine, Kaiser, and Lanczos windows for m = 4,5. These are based on error in rotating medical images w.r.t. the linear interpolation method. In some cases the results achieve a 20-fold improvement in accuracy.
USING THIS FILTER

Use this filter the way you would use any ImageInterpolationFunction, so for instance, you can plug it into the ResampleImageFilter class. In order to initialize the filter you must choose several template parameters.

The first (TInputImage) is the image type, that's standard.
The second (VRadius) is the radius of the kernel, i.e., the \( m \) from the formula above.
The third (TWindowFunction) is the window function object, which you can choose from about five different functions defined in this header. The default is the Hamming window, which is commonly used but not optimal according to the cited paper.
The fourth (TBoundaryCondition) is the boundary condition class used to determine the values of pixels that fall off the image boundary. This class has the same meaning here as in the NeighborhoodIterator classes.
The fifth (TCoordRep) is again standard for interpolating functions, and should be float or double.
CAVEATS

There are a few improvements that an enthusiastic ITK developer could make to this filter. One issue is with the way that the kernel is applied. The computational expense comes from two sources: computing the kernel weights K(t) and multiplying the pixels in the window by the kernel weights. The first is done more or less efficiently in \( 2 m d \) operations (where d is the dimensionality of the image). The second can be done better. Presently, each pixel \( I(i,j,k) \) is multiplied by the weights \( K(x-i), K(y-j), K(z-k) \) and added to the running total. This results in \( d (2m)^d \) multiplication operations. However, by keeping intermediate sums, it would be possible to do the operation in \( O ( (2m)^d ) \) operations. This would require some creative coding. In addition, in the case when one of the coordinates is integer, the computation could be reduced by an order of magnitude.

See also
LinearInterpolateImageFunction ResampleImageFilter
Function::HammingWindowFunction
Function::CosineWindowFunction
Function::WelchWindowFunction
Function::LanczosWindowFunction
Function::BlackmanWindowFunction

Definition at line 271 of file itkWindowedSincInterpolateImageFunction.h.

+ Inheritance diagram for itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >:
+ Collaboration diagram for itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >:

Public Types

using ConstPointer = SmartPointer< const Self >
 
using ImageType = TInputImage
 
using Pointer = SmartPointer< Self >
 
using Self = WindowedSincInterpolateImageFunction
 
using Superclass = InterpolateImageFunction< TInputImage, TCoordRep >
 
- Public Types inherited from itk::InterpolateImageFunction< TInputImage, double >
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, double >
 
- Public Types inherited from itk::ImageFunction< TInputImage, NumericTraits< TInputImage::PixelType >::RealType, double >
using ConstPointer = SmartPointer< const Self >
 
using ContinuousIndexType = ContinuousIndex< double, Self::ImageDimension >
 
using CoordRepType = double
 
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< double, Self::ImageDimension >
 
using Self = ImageFunction
 
using Superclass = FunctionBase< Point< double, Self::ImageDimension >, NumericTraits< TInputImage::PixelType >::RealType >
 
- Public Types inherited from itk::FunctionBase< Point< double, TInputImage::ImageDimension >, NumericTraits< TInputImage::PixelType >::RealType >
using ConstPointer = SmartPointer< const Self >
 
using InputType = Point< double, 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 &index) const override
 
const char * GetNameOfClass () const override
 
SizeType GetRadius () const override
 
void SetInputImage (const ImageType *image) override
 
- Public Member Functions inherited from itk::InterpolateImageFunction< TInputImage, double >
OutputType EvaluateAtContinuousIndex (const ContinuousIndexType &index) const override=0
 
OutputType EvaluateAtIndex (const IndexType &index) const override
 
const char * GetNameOfClass () const override
 
virtual SizeType GetRadius () const=0
 
OutputType Evaluate (const PointType &point) const override
 
- Public Member Functions inherited from itk::ImageFunction< TInputImage, NumericTraits< TInputImage::PixelType >::RealType, double >
void ConvertContinuousIndexToNearestIndex (const ContinuousIndexType &cindex, IndexType &index) const
 
void ConvertPointToContinuousIndex (const PointType &point, ContinuousIndexType &cindex) const
 
OutputType Evaluate (const PointType &point) const override=0
 
virtual NumericTraits< TInputImage::PixelType >::RealType EvaluateAtContinuousIndex (const ContinuousIndexType &index) const=0
 
virtual NumericTraits< TInputImage::PixelType >::RealType EvaluateAtIndex (const IndexType &index) const=0
 
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 void SetInputImage (const InputImageType *ptr)
 
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::FunctionBase< Point< double, TInputImage::ImageDimension >, NumericTraits< TInputImage::PixelType >::RealType >
virtual OutputType Evaluate (const InputType &input) const=0
 
const char * GetNameOfClass () const override
 
- 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
 
const char * GetNameOfClass () const override
 
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 Pointer CreateAnother () const
 
virtual void Delete ()
 
virtual const char * GetNameOfClass () const
 
virtual int GetReferenceCount () const
 
void Print (std::ostream &os, Indent indent=0) const
 
virtual void Register () const
 
virtual void SetReferenceCount (int)
 
virtual void UnRegister () const noexcept
 

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

Protected Member Functions

void PrintSelf (std::ostream &os, Indent indent) const override
 
 WindowedSincInterpolateImageFunction ()=default
 
 ~WindowedSincInterpolateImageFunction () override=default
 
- Protected Member Functions inherited from itk::InterpolateImageFunction< TInputImage, double >
 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, double >
 ImageFunction ()
 
void PrintSelf (std::ostream &os, Indent indent) const override
 
 ~ImageFunction () override=default
 
- Protected Member Functions inherited from itk::FunctionBase< Point< double, 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
 
void PrintSelf (std::ostream &os, Indent indent) const override
 
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 PrintSelf (std::ostream &os, Indent indent) const
 
virtual void PrintTrailer (std::ostream &os, Indent indent) const
 
virtual ~LightObject ()
 

Private Types

using IteratorType = ConstNeighborhoodIterator< ImageType, TBoundaryCondition >
 

Private Member Functions

double Sinc (double x) const
 

Private Attributes

unsigned int m_OffsetTable [m_OffsetTableSize] {}
 
unsigned int m_WeightOffsetTable [m_OffsetTableSize][ImageDimension] {}
 
TWindowFunction m_WindowFunction {}
 

Static Private Attributes

static constexpr unsigned int m_OffsetTableSize = Math::UnsignedPower(m_WindowSize, ImageDimension)
 
static constexpr unsigned int m_WindowSize { 2 * VRadius }
 

Additional Inherited Members

- Protected Attributes inherited from itk::ImageFunction< TInputImage, NumericTraits< TInputImage::PixelType >::RealType, double >
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

◆ ConstPointer

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
using itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::ConstPointer = SmartPointer<const Self>

Definition at line 282 of file itkWindowedSincInterpolateImageFunction.h.

◆ ImageType

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
using itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::ImageType = TInputImage

Image type definition

Definition at line 310 of file itkWindowedSincInterpolateImageFunction.h.

◆ IteratorType

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
using itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::IteratorType = ConstNeighborhoodIterator<ImageType, TBoundaryCondition>
private

Definition at line 342 of file itkWindowedSincInterpolateImageFunction.h.

◆ Pointer

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
using itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::Pointer = SmartPointer<Self>

Definition at line 281 of file itkWindowedSincInterpolateImageFunction.h.

◆ Self

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
using itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::Self = WindowedSincInterpolateImageFunction

Standard class type aliases.

Definition at line 278 of file itkWindowedSincInterpolateImageFunction.h.

◆ Superclass

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
using itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::Superclass = InterpolateImageFunction<TInputImage, TCoordRep>

Definition at line 279 of file itkWindowedSincInterpolateImageFunction.h.

Constructor & Destructor Documentation

◆ WindowedSincInterpolateImageFunction()

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::WindowedSincInterpolateImageFunction ( )
protecteddefault

◆ ~WindowedSincInterpolateImageFunction()

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::~WindowedSincInterpolateImageFunction ( )
overrideprotecteddefault

Member Function Documentation

◆ EvaluateAtContinuousIndex()

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
OutputType itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::EvaluateAtContinuousIndex ( const ContinuousIndexType &  index) const
overridevirtual

Evaluate the function at a ContinuousIndex position

Returns the interpolated image intensity at a specified point position. Bounds checking is based on the type of the TBoundaryCondition specified.

Implements itk::InterpolateImageFunction< TInputImage, double >.

◆ GetNameOfClass()

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
const char * itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::GetNameOfClass ( ) const
overridevirtual
See also
LightObject::GetNameOfClass()

Reimplemented from itk::Object.

◆ GetRadius()

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
SizeType itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::GetRadius ( ) const
inlineoverridevirtual

Get the radius required for interpolation.

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

Implements itk::InterpolateImageFunction< TInputImage, double >.

Definition at line 328 of file itkWindowedSincInterpolateImageFunction.h.

◆ New()

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
static Pointer itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::New ( )
static

Method for creation through the object factory.

◆ PrintSelf()

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
void itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, 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.

◆ SetInputImage()

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
void itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::SetInputImage ( const ImageType *  ptr)
overridevirtual

Set the input image.

Warning
this method caches BufferedRegion information. If the BufferedRegion has changed, user must call SetInputImage again to update cached values.

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

◆ Sinc()

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
double itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::Sinc ( double  x) const
inlineprivate

The sinc function

Definition at line 362 of file itkWindowedSincInterpolateImageFunction.h.

References itk::Math::pi.

Member Data Documentation

◆ ImageDimension

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
constexpr unsigned int itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::ImageDimension = Superclass::ImageDimension
staticconstexpr

Dimension underlying input image.

Definition at line 300 of file itkWindowedSincInterpolateImageFunction.h.

◆ m_OffsetTable

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
unsigned int itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::m_OffsetTable[m_OffsetTableSize] {}
private

The offset array, used to keep a list of relevant offsets in the neighborhoodIterator

Definition at line 355 of file itkWindowedSincInterpolateImageFunction.h.

◆ m_OffsetTableSize

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
constexpr unsigned int itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::m_OffsetTableSize = Math::UnsignedPower(m_WindowSize, ImageDimension)
staticconstexprprivate

Size of the offset table

Definition at line 351 of file itkWindowedSincInterpolateImageFunction.h.

◆ m_WeightOffsetTable

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
unsigned int itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::m_WeightOffsetTable[m_OffsetTableSize][ImageDimension] {}
private

Index into the weights array for each offset

Definition at line 358 of file itkWindowedSincInterpolateImageFunction.h.

◆ m_WindowFunction

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
TWindowFunction itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::m_WindowFunction {}
private

The function object, used to compute window

Definition at line 348 of file itkWindowedSincInterpolateImageFunction.h.

◆ m_WindowSize

template<typename TInputImage , unsigned int VRadius, typename TWindowFunction = Function::HammingWindowFunction<VRadius>, class TBoundaryCondition = ZeroFluxNeumannBoundaryCondition<TInputImage, TInputImage>, class TCoordRep = double>
constexpr unsigned int itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::m_WindowSize { 2 * VRadius }
staticconstexprprivate

Definition at line 345 of file itkWindowedSincInterpolateImageFunction.h.

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