ITK
4.3.0
Insight Segmentation and Registration Toolkit
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#include <itkWindowedSincInterpolateImageFunction.h>
Use the windowed sinc function to interpolate.
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.
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.
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 operations (where d is the dimensionality of the image). The second can be done better. Presently, each pixel is multiplied by the weights and added to the running total. This results in multiplication operations. However, by keeping intermediate sums, it would be possible to do the operation in 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.
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 |
Static Public Member Functions | |
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 |
Private Types | |
typedef ConstNeighborhoodIterator < ImageType, TBoundaryCondition > | IteratorType |
Private Member Functions | |
void | operator= (const Self &) |
double | Sinc (double x) const |
WindowedSincInterpolateImageFunction (const Self &) | |
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 Types inherited from itk::LightObject | |
typedef int | InternalReferenceCountType |
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 |
typedef SmartPointer< const Self > itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::ConstPointer |
Definition at line 273 of file itkWindowedSincInterpolateImageFunction.h.
typedef Superclass::ContinuousIndexType itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::ContinuousIndexType |
ContinuousIndex typedef support.
Definition at line 302 of file itkWindowedSincInterpolateImageFunction.h.
typedef TInputImage itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::ImageType |
Image type definition
Definition at line 299 of file itkWindowedSincInterpolateImageFunction.h.
typedef Superclass::IndexType itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::IndexType |
Index typedef support.
Definition at line 295 of file itkWindowedSincInterpolateImageFunction.h.
typedef Superclass::IndexValueType itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::IndexValueType |
Definition at line 296 of file itkWindowedSincInterpolateImageFunction.h.
typedef Superclass::InputImageType itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::InputImageType |
InputImageType typedef support.
Definition at line 286 of file itkWindowedSincInterpolateImageFunction.h.
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private |
Definition at line 327 of file itkWindowedSincInterpolateImageFunction.h.
typedef Superclass::OutputType itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::OutputType |
OutputType typedef support.
Definition at line 280 of file itkWindowedSincInterpolateImageFunction.h.
typedef SmartPointer< Self > itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::Pointer |
Definition at line 272 of file itkWindowedSincInterpolateImageFunction.h.
typedef Superclass::RealType itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::RealType |
RealType typedef support.
Definition at line 289 of file itkWindowedSincInterpolateImageFunction.h.
typedef WindowedSincInterpolateImageFunction itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::Self |
Standard class typedefs.
Definition at line 269 of file itkWindowedSincInterpolateImageFunction.h.
typedef InterpolateImageFunction< TInputImage, TCoordRep > itk::WindowedSincInterpolateImageFunction< TInputImage, VRadius, TWindowFunction, TBoundaryCondition, TCoordRep >::Superclass |
Definition at line 270 of file itkWindowedSincInterpolateImageFunction.h.
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protectedvirtual |
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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.
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virtual |
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 >.
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Run-time type information (and related methods).
Reimplemented from itk::InterpolateImageFunction< TInputImage, TCoordRep >.
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Method for creation through the object factory.
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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.
Reimplemented from itk::InterpolateImageFunction< TInputImage, TCoordRep >.
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Set the input image.
Reimplemented from itk::ImageFunction< TInputImage, NumericTraits< TInputImage::PixelType >::RealType, TCoordRep >.
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inlineprivate |
The sinc function
Definition at line 346 of file itkWindowedSincInterpolateImageFunction.h.
References itk::Math::pi.
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Dimension underlying input image.
Definition at line 292 of file itkWindowedSincInterpolateImageFunction.h.
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The offset array, used to keep a list of relevant offsets in the neihborhoodIterator
Definition at line 337 of file itkWindowedSincInterpolateImageFunction.h.
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Size of the offset table
Definition at line 340 of file itkWindowedSincInterpolateImageFunction.h.
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Index into the weights array for each offset
Definition at line 343 of file itkWindowedSincInterpolateImageFunction.h.
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The function object, used to compute window
Definition at line 333 of file itkWindowedSincInterpolateImageFunction.h.
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Definition at line 330 of file itkWindowedSincInterpolateImageFunction.h.