ITK  4.13.0
Insight Segmentation and Registration Toolkit
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itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep > Class Template Reference
Image Functions | Image Interpolators | Module ITKImageFunction

#include <itkWindowedSincInterpolateImageFunction.h>

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

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 NeighborhoodItetator classes.
The fifth (TCoordRep) is again standard for interpolating functions, and should be float or double.
CAVEATS

There are a few improvements that an enthusiasting 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
Examples:
Examples/Filtering/ResampleImageFilter8.cxx, and SphinxExamples/src/Core/Transform/ApplyAffineTransformFromHomogeneousMatrixAndResample/Code.cxx.

Definition at line 263 of file itkWindowedSincInterpolateImageFunction.h.

Public Types

typedef SmartPointer< const Self > ConstPointer
 
typedef
Superclass::ContinuousIndexType 		ContinuousIndexType
 
typedef TInputImage ImageType
 
typedef Superclass::IndexType IndexType
 
typedef Superclass::IndexValueType IndexValueType
 
typedef Superclass::InputImageType InputImageType
 
typedef Superclass::OutputType OutputType
 
typedef SmartPointer< Self > Pointer
 
typedef Superclass::RealType RealType
 
typedef
WindowedSincInterpolateImageFunction 		Self
 
typedef
InterpolateImageFunction
< TInputImage, TCoordRep > 		Superclass
 
- Public Types inherited from itk::InterpolateImageFunction< TInputImage, TCoordRep >
typedef SmartPointer< const Self > ConstPointer
 
typedef
Superclass::ContinuousIndexType 		ContinuousIndexType
 
typedef Superclass::IndexType IndexType
 
typedef Superclass::IndexValueType IndexValueType
 
typedef Superclass::InputImageType InputImageType
 
typedef Superclass::OutputType OutputType
 
typedef SmartPointer< Self > Pointer
 
typedef Superclass::PointType PointType
 
typedef NumericTraits
< typename
TInputImage::PixelType >
::RealType 		RealType
 
typedef InterpolateImageFunction Self
 
typedef ImageFunction
< TInputImage, typename
NumericTraits< typename
TInputImage::PixelType >
::RealType, TCoordRep > 		Superclass
 
- Public Types inherited from itk::ImageFunction< TInputImage, NumericTraits< TInputImage::PixelType >::RealType, TCoordRep >
typedef SmartPointer< const Self > ConstPointer
 
typedef ContinuousIndex
< TCoordRep,
itkGetStaticConstMacro(ImageDimension) > 		ContinuousIndexType
 
typedef TCoordRep CoordRepType
 
typedef InputImageType::IndexType IndexType
 
typedef
InputImageType::IndexValueType 		IndexValueType
 
typedef
InputImageType::ConstPointer 		InputImageConstPointer
 
typedef TInputImage InputImageType
 
typedef InputImageType::PixelType InputPixelType
 
typedef NumericTraits
< TInputImage::PixelType >
::RealType 		OutputType
 
typedef SmartPointer< Self > Pointer
 
typedef Point< TCoordRep,
itkGetStaticConstMacro(ImageDimension) > 		PointType
 
typedef ImageFunction Self
 
typedef FunctionBase< Point
< TCoordRep,
itkGetStaticConstMacro(ImageDimension) >
, NumericTraits
< TInputImage::PixelType >
::RealType > 		Superclass
 
- Public Types inherited from itk::FunctionBase< Point< TCoordRep, TInputImage::ImageDimension >, NumericTraits< TInputImage::PixelType >::RealType >
typedef SmartPointer< const Self > ConstPointer
 
typedef Point< TCoordRep,
TInputImage::ImageDimension > 		InputType
 
typedef NumericTraits
< TInputImage::PixelType >
::RealType 		OutputType
 
typedef SmartPointer< Self > Pointer
 
typedef FunctionBase Self
 
typedef Object Superclass
 
- Public Types inherited from itk::Object
typedef SmartPointer< const Self > ConstPointer
 
typedef SmartPointer< Self > Pointer
 
typedef Object Self
 
typedef LightObject Superclass
 
- Public Types inherited from itk::LightObject
typedef SmartPointer< const Self > ConstPointer
 
typedef SmartPointer< Self > Pointer
 
typedef LightObject Self
 

Public Member Functions

virtual ::itk::LightObject::Pointer CreateAnother () const
 
virtual OutputType EvaluateAtContinuousIndex (const ContinuousIndexType &index) const override
 
virtual const char * GetNameOfClass () const
 
virtual void SetInputImage (const ImageType *image) override
 
- Public Member Functions inherited from itk::InterpolateImageFunction< TInputImage, TCoordRep >
virtual OutputType Evaluate (const PointType &point) const override
 
virtual OutputType EvaluateAtIndex (const IndexType &index) 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
 
void ConvertPointToNearestIndex (const PointType &point, IndexType &index) const
 
virtual NumericTraits
< TInputImage::PixelType >
::RealType 		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
 
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
 
- Public Member Functions inherited from itk::FunctionBase< Point< TCoordRep, TInputImage::ImageDimension >, NumericTraits< TInputImage::PixelType >::RealType >
virtual OutputType Evaluate (const InputType &input) const =0
 
- Public Member Functions inherited from itk::Object
unsigned long AddObserver (const EventObject &event, Command *)
 
unsigned long AddObserver (const EventObject &event, Command *) const
 
virtual void DebugOff () const
 
virtual void DebugOn () const
 
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
 
virtual void Register () const override
 
void RemoveAllObservers ()
 
void RemoveObserver (unsigned long tag)
 
void SetDebug (bool debugFlag) const
 
void SetMetaDataDictionary (const MetaDataDictionary &rhs)
 
virtual void SetReferenceCount (int) override
 
virtual void UnRegister () const noexceptoverride
 
virtual void SetObjectName (std::string _arg)
 
virtual const std::string & GetObjectName () const
 
- Public Member Functions inherited from itk::LightObject
virtual void Delete ()
 
virtual int GetReferenceCount () const
 
 itkCloneMacro (Self)
 
void Print (std::ostream &os, Indent indent=0) const
 

Static Public Member Functions

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

Static Public Attributes

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

Protected Member Functions

void PrintSelf (std::ostream &os, Indent indent) const override
 
 WindowedSincInterpolateImageFunction ()
 
virtual ~WindowedSincInterpolateImageFunction () override
 
- Protected Member Functions inherited from itk::InterpolateImageFunction< TInputImage, TCoordRep >
 InterpolateImageFunction ()
 
 ~InterpolateImageFunction () override
 
- 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
 
- Protected Member Functions inherited from itk::FunctionBase< Point< TCoordRep, TInputImage::ImageDimension >, NumericTraits< TInputImage::PixelType >::RealType >
 FunctionBase ()
 
 ~FunctionBase () override
 
- Protected Member Functions inherited from itk::Object
 Object ()
 
bool PrintObservers (std::ostream &os, Indent indent) const
 
virtual void SetTimeStamp (const TimeStamp &time)
 
virtual ~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 Types

typedef
ConstNeighborhoodIterator
< ImageType,
TBoundaryCondition > 		IteratorType
 

Private Member Functions

double Sinc (double x) const
 

Private Attributes

unsigned int * m_OffsetTable
 
unsigned int m_OffsetTableSize
 
unsigned int ** m_WeightOffsetTable
 
TWindowFunction m_WindowFunction
 

Static Private Attributes

static const unsigned int m_WindowSize
 

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
AtomicInt< int > m_ReferenceCount
 

Member Typedef Documentation

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

Definition at line 273 of file itkWindowedSincInterpolateImageFunction.h.

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

ContinuousIndex typedef support.

Definition at line 302 of file itkWindowedSincInterpolateImageFunction.h.

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

Image type definition

Definition at line 299 of file itkWindowedSincInterpolateImageFunction.h.

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

Index typedef support.

Definition at line 295 of file itkWindowedSincInterpolateImageFunction.h.

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

Definition at line 296 of file itkWindowedSincInterpolateImageFunction.h.

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

InputImageType typedef support.

Definition at line 286 of file itkWindowedSincInterpolateImageFunction.h.

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

Definition at line 321 of file itkWindowedSincInterpolateImageFunction.h.

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

OutputType typedef support.

Definition at line 280 of file itkWindowedSincInterpolateImageFunction.h.

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

Definition at line 272 of file itkWindowedSincInterpolateImageFunction.h.

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

RealType typedef support.

Definition at line 289 of file itkWindowedSincInterpolateImageFunction.h.

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

Standard class typedefs.

Definition at line 269 of file itkWindowedSincInterpolateImageFunction.h.

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

Definition at line 270 of file itkWindowedSincInterpolateImageFunction.h.

Constructor & Destructor Documentation

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

Member Function Documentation

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

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

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

Run-time type information (and related methods).

Reimplemented from itk::InterpolateImageFunction< TInputImage, TCoordRep >.

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.

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::InterpolateImageFunction< TInputImage, TCoordRep >.

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

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 344 of file itkWindowedSincInterpolateImageFunction.h.

References itk::Math::pi.

Member Data Documentation

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

Dimension underlying input image.

Definition at line 292 of file itkWindowedSincInterpolateImageFunction.h.

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
private

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

Definition at line 335 of file itkWindowedSincInterpolateImageFunction.h.

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_OffsetTableSize
private

Size of the offset table

Definition at line 338 of file itkWindowedSincInterpolateImageFunction.h.

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
private

Index into the weights array for each offset

Definition at line 341 of file itkWindowedSincInterpolateImageFunction.h.

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 331 of file itkWindowedSincInterpolateImageFunction.h.

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

Definition at line 328 of file itkWindowedSincInterpolateImageFunction.h.

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