Evaluates the B-Spline interpolation of an image. Spline order may be from 0 to 5. More...

#include <itkReducedDimensionBSplineInterpolateImageFunction.h>

Inheritance diagram for itk::ReducedDimensionBSplineInterpolateImageFunction< TImageType, TCoordRep, TCoefficientType >:

[legend]

Collaboration diagram for itk::ReducedDimensionBSplineInterpolateImageFunction< TImageType, TCoordRep, TCoefficientType >:

[legend]

Public Types
typedef TCoefficientType	CoefficientDataType
typedef BSplineDecompositionImageFilter < TImageType, CoefficientImageType >	CoefficientFilter
typedef CoefficientFilter::Pointer	CoefficientFilterPointer
typedef Image < CoefficientDataType, itkGetStaticConstMacro(ImageDimension) >	CoefficientImageType
typedef SmartPointer< const Self >	ConstPointer
typedef Superclass::ContinuousIndexType	ContinuousIndexType
typedef CovariantVector < OutputType, itkGetStaticConstMacro(ImageDimension) >	CovariantVectorType
typedef Superclass::IndexType	IndexType
typedef Superclass::InputImageType	InputImageType
typedef ImageLinearIteratorWithIndex < TImageType >	Iterator
typedef Superclass::OutputType	OutputType
typedef SmartPointer< Self >	Pointer
typedef Superclass::PointType	PointType
typedef ReducedDimensionBSplineInterpolateImageFunction	Self
typedef InterpolateImageFunction < TImageType, TCoordRep >	Superclass
Public Member Functions
virtual OutputType	EvaluateAtContinuousIndex (const ContinuousIndexType &index) const
CovariantVectorType	EvaluateDerivative (const PointType &point) const
CovariantVectorType	EvaluateDerivativeAtContinuousIndex (const ContinuousIndexType &x) const
virtual const char *	GetClassName () const
virtual int	GetSplineOrder () const
virtual bool	GetUseImageDirection () const
	itkStaticConstMacro (ImageDimension, unsigned int, Superclass::ImageDimension)
virtual void	SetInputImage (const TImageType *inputData)
void	SetSplineOrder (unsigned int SplineOrder)
virtual void	SetUseImageDirection (bool _arg)
virtual void	UseImageDirectionOff ()
virtual void	UseImageDirectionOn ()
Static Public Member Functions
static Pointer	New ()
Protected Member Functions
void	PrintSelf (std::ostream &os, Indent indent) const
	ReducedDimensionBSplineInterpolateImageFunction ()
virtual	~ReducedDimensionBSplineInterpolateImageFunction ()
Protected Attributes
CoefficientImageType::ConstPointer	m_Coefficients
TImageType::SizeType	m_DataLength
std::vector< CoefficientDataType >	m_Scratch
unsigned int	m_SplineOrder
Private Member Functions
void	ApplyMirrorBoundaryConditions (vnl_matrix< long > &evaluateIndex, unsigned int splineOrder) const
void	DetermineRegionOfSupport (vnl_matrix< long > &evaluateIndex, const ContinuousIndexType &x, unsigned int splineOrder) const
void	GeneratePointsToIndex ()
void	operator= (const Self &)
	ReducedDimensionBSplineInterpolateImageFunction (const Self &)
void	SetDerivativeWeights (const ContinuousIndexType &x, const vnl_matrix< long > &EvaluateIndex, vnl_matrix< double > &weights, unsigned int splineOrder) const
void	SetInterpolationWeights (const ContinuousIndexType &x, const vnl_matrix< long > &EvaluateIndex, vnl_matrix< double > &weights, unsigned int splineOrder) const
Private Attributes
Iterator	m_CIterator
CoefficientFilterPointer	m_CoefficientFilter
unsigned long	m_MaxNumberInterpolationPoints
std::vector< IndexType >	m_PointsToIndex
bool	m_UseImageDirection

Detailed Description

template<class TImageType, class TCoordRep = double, class TCoefficientType = double>
class itk::ReducedDimensionBSplineInterpolateImageFunction< TImageType, TCoordRep, TCoefficientType >

Evaluates the B-Spline interpolation of an image. Spline order may be from 0 to 5.

This class defines N-Dimension B-Spline transformation. It is based on:
[1] M. Unser, "Splines: A Perfect Fit for Signal and Image Processing," IEEE Signal Processing Magazine, vol. 16, no. 6, pp. 22-38, November 1999.
[2] M. Unser, A. Aldroubi and M. Eden, "B-Spline Signal Processing: Part I--Theory," IEEE Transactions on Signal Processing, vol. 41, no. 2, pp. 821-832, February 1993.
[3] M. Unser, A. Aldroubi and M. Eden, "B-Spline Signal Processing: Part II--Efficient Design and Applications," IEEE Transactions on Signal Processing, vol. 41, no. 2, pp. 834-848, February 1993.
And code obtained from bigwww.epfl.ch by Philippe Thevenaz.

The B spline coefficients are calculated through the BSplineDecompositionImageFilter

Limitations: Spline order must be between 0 and 5. Spline order must be set before setting the image. Uses mirror boundary conditions. Requires the same order of Spline for each dimension. Spline is determined in all dimensions, cannot selectively pick dimension for calculating spline.

See also:: BSplineDecompositionImageFilter

Definition at line 86 of file itkReducedDimensionBSplineInterpolateImageFunction.h.