#include <itkBackwardDifferenceOperator.h>

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

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

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 Superclass::SizeType	SizeType
typedef SliceIterator< TPixel, Self >	SliceIteratorType
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 SizeType::SizeValueType	SizeValueType

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
bool	operator== (const Self &other) const
void	Print (std::ostream &os) const
void	SetRadius (const SizeType &)
void	SetRadius (const SizeValueType *rad)
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)
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 >

Protected Member Functions
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 ()
void	Fill (const CoefficientVector &coeff)
	BackwardDifferenceOperator (const Self &other)
Self &	operator= (const Self &other)

Additional Inherited Members

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.

Wiki Examples:

All Examples

Create a backward difference kernel

Definition at line 46 of file itkBackwardDifferenceOperator.h.