#include <itkBackwardDifferenceOperator.h>

Inheritance diagram for itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >:

Collaboration diagram for itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >:

Detailed Description

template<class TPixel, unsigned int TDimension = 2, class TAllocator = NeighborhoodAllocator< TPixel >>
class itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >

Operator whose inner product with a neighborhood returns a "half" derivative at the center of the neighborhood.

BackwardDifferenceOperator uses backward differences i.e. F(x) - F(x-1) to calculate a "half" derivative useful, among other things, in solving differential equations. It is a directional NeighborhoodOperator that should be applied to a Neighborhood using the inner product.

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Create a backward difference kernel

Definition at line 46 of file itkBackwardDifferenceOperator.h.

Public Types
typedef Superclass::PixelType	PixelType

typedef BackwardDifferenceOperator	Self

typedef NeighborhoodOperator < TPixel, TDimension, TAllocator >	Superclass

Public Types inherited from itk::NeighborhoodOperator< TPixel, TDimension, TAllocator >
typedef NumericTraits< TPixel > ::RealType	PixelRealType

typedef TPixel	PixelType

typedef NeighborhoodOperator	Self

typedef Superclass::SizeType	SizeType

typedef SliceIterator< TPixel, Self >	SliceIteratorType

typedef Neighborhood< TPixel, VDimension, TAllocator >	Superclass

Public Types inherited from itk::Neighborhood< TPixel, VDimension, TAllocator >
typedef TAllocator	AllocatorType

typedef AllocatorType::const_iterator	ConstIterator

typedef unsigned int	DimensionValueType

typedef AllocatorType::iterator	Iterator

typedef SizeValueType	NeighborIndexType

typedef Offset< VDimension >	OffsetType

typedef TPixel	PixelType

typedef Neighborhood	Self

typedef SizeType::SizeValueType	SizeValueType

typedef SliceIterator< TPixel, Self >	SliceIteratorType

Public Member Functions
	BackwardDifferenceOperator ()

Public Member Functions inherited from itk::NeighborhoodOperator< TPixel, TDimension, TAllocator >
virtual void	CreateDirectional ()

virtual void	CreateToRadius (const SizeType &)

virtual void	CreateToRadius (const SizeValueType)

virtual void	FlipAxes ()

unsigned long	GetDirection () const

	NeighborhoodOperator ()

	NeighborhoodOperator (const Self &orig)

void	ScaleCoefficients (PixelRealType)

void	SetDirection (const unsigned long &direction)

Self &	operator= (const Self &orig)

virtual void	PrintSelf (std::ostream &os, Indent i) const

Public Member Functions inherited from itk::Neighborhood< TPixel, VDimension, TAllocator >
NeighborIndexType	GetCenterNeighborhoodIndex () const

TPixel	GetCenterValue () const

virtual NeighborIndexType	GetNeighborhoodIndex (const OffsetType &) const

OffsetType	GetOffset (NeighborIndexType i) const

const SizeType	GetRadius () const

SizeValueType	GetRadius (DimensionValueType n) const

SizeValueType	GetSize (DimensionValueType n) const

SizeType	GetSize () const

std::slice	GetSlice (unsigned int) const

OffsetValueType	GetStride (DimensionValueType axis) const

	Neighborhood (const Self &other)

bool	operator!= (const Self &other) const

Self &	operator= (const Self &other)

bool	operator== (const Self &other) const

void	Print (std::ostream &os) const

void	SetRadius (const SizeType &)

void	SetRadius (const SizeValueType)

NeighborIndexType	Size () const

virtual	~Neighborhood ()

	Neighborhood ()

Iterator	End ()

Iterator	Begin ()

ConstIterator	End () const

ConstIterator	Begin () const

TPixel &	operator[] (NeighborIndexType i)

const TPixel &	operator[] (NeighborIndexType i) const

TPixel &	GetElement (NeighborIndexType i)

void	SetRadius (const SizeValueType *rad)

AllocatorType &	GetBufferReference ()

const AllocatorType &	GetBufferReference () const

TPixel &	operator[] (const OffsetType &o)

const TPixel &	operator[] (const OffsetType &o) const

Protected Types
typedef Superclass::CoefficientVector	CoefficientVector

Protected Types inherited from itk::NeighborhoodOperator< TPixel, TDimension, TAllocator >
typedef std::vector < PixelRealType >	CoefficientVector

Protected Member Functions
void	Fill (const CoefficientVector &coeff)

CoefficientVector	GenerateCoefficients ()

Protected Member Functions inherited from itk::NeighborhoodOperator< TPixel, TDimension, TAllocator >
virtual void	FillCenteredDirectional (const CoefficientVector &)

void	InitializeToZero ()

Protected Member Functions inherited from itk::Neighborhood< TPixel, VDimension, TAllocator >
virtual void	Allocate (NeighborIndexType i)

virtual void	ComputeNeighborhoodOffsetTable ()

virtual void	ComputeNeighborhoodStrideTable ()

void	SetSize ()

Private Member Functions
	BackwardDifferenceOperator (const Self &other)

Self &	operator= (const Self &other)

Additional Inherited Members
Public Attributes inherited from itk::Neighborhood< TPixel, VDimension, TAllocator >
typedef::itk::Size< VDimension >	RadiusType

typedef::itk::Size< VDimension >	SizeType

Static Public Attributes inherited from itk::Neighborhood< TPixel, VDimension, TAllocator >
static const unsigned int	NeighborhoodDimension = VDimension