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itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator > Class Template Reference
[Operators]

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

#include <itkBackwardDifferenceOperator.h>

Inheritance diagram for itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >:
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Collaboration diagram for itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >:
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List of all members.

Public Types

typedef TAllocator AllocatorType
typedef
AllocatorType::const_iterator 
ConstIterator
typedef AllocatorType::iterator Iterator
typedef Offset< VDimension > OffsetType
typedef NumericTraits< TPixel >
::RealType 
PixelRealType
typedef Superclass::PixelType PixelType
typedef ::itk::Size< VDimension > RadiusType
typedef BackwardDifferenceOperator Self
typedef Superclass::SizeType SizeType
typedef SizeType::SizeValueType SizeValueType
typedef SliceIterator< TPixel,
Self
SliceIteratorType
typedef NeighborhoodOperator
< TPixel, TDimension,
TAllocator > 
Superclass

Public Member Functions

 BackwardDifferenceOperator ()
virtual void CreateDirectional ()
virtual void CreateToRadius (const unsigned long)
virtual void CreateToRadius (const SizeType &)
virtual void FlipAxes ()
unsigned int GetCenterNeighborhoodIndex () const
TPixel GetCenterValue () const
unsigned long GetDirection () const
virtual unsigned int GetNeighborhoodIndex (const OffsetType &) const
OffsetType GetOffset (unsigned int i) const
unsigned long GetRadius (const unsigned long n) const
const SizeType GetRadius () const
SizeType GetSize () const
unsigned long GetSize (const unsigned long n) const
std::slice GetSlice (unsigned int) const
unsigned GetStride (const unsigned axis) const
bool operator!= (const Self &other) const
bool operator== (const Self &other) const
void Print (std::ostream &os) const
void ScaleCoefficients (PixelRealType)
void SetDirection (const unsigned long &direction)
void SetRadius (const unsigned long)
void SetRadius (const SizeType &)
unsigned int Size () const

Static Public Attributes

static const unsigned int NeighborhoodDimension = VDimension

Protected Types

typedef
Superclass::CoefficientVector 
CoefficientVector

Protected Member Functions

virtual void Allocate (unsigned int i)
virtual void ComputeNeighborhoodOffsetTable ()
virtual void ComputeNeighborhoodStrideTable ()
virtual void Fill (const CoefficientVector &)=0
void Fill (const CoefficientVector &coeff)
virtual void FillCenteredDirectional (const CoefficientVector &)
CoefficientVector GenerateCoefficients ()



ConstIterator Begin () const
Iterator Begin ()
ConstIterator End () const
Iterator End ()
const AllocatorTypeGetBufferReference () const
AllocatorTypeGetBufferReference ()
TPixel & GetElement (unsigned int i)
const TPixel & operator[] (const OffsetType &o) const
TPixel & operator[] (const OffsetType &o)
const TPixel & operator[] (unsigned int i) const
TPixel & operator[] (unsigned int i)
void SetRadius (const unsigned long *rad)
void SetSize ()



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

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.

Definition at line 41 of file itkBackwardDifferenceOperator.h.


Member Typedef Documentation

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
typedef TAllocator itk::Neighborhood< TPixel, VDimension, TAllocator >::AllocatorType [inherited]
template<class TPixel , unsigned int TDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
typedef Superclass::CoefficientVector itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >::CoefficientVector [protected]

Necessary to work around a compiler bug in VC++.

Reimplemented from itk::NeighborhoodOperator< TPixel, TDimension, TAllocator >.

Definition at line 58 of file itkBackwardDifferenceOperator.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
typedef AllocatorType::const_iterator itk::Neighborhood< TPixel, VDimension, TAllocator >::ConstIterator [inherited]
template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
typedef AllocatorType::iterator itk::Neighborhood< TPixel, VDimension, TAllocator >::Iterator [inherited]
template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
typedef Offset<VDimension> itk::Neighborhood< TPixel, VDimension, TAllocator >::OffsetType [inherited]
typedef NumericTraits< TPixel >::RealType itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::PixelRealType [inherited]

Definition at line 138 of file itkNeighborhoodOperator.h.

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

From Superclass

Reimplemented from itk::NeighborhoodOperator< TPixel, TDimension, TAllocator >.

Definition at line 51 of file itkBackwardDifferenceOperator.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
typedef ::itk::Size<VDimension> itk::Neighborhood< TPixel, VDimension, TAllocator >::RadiusType [inherited]
template<class TPixel , unsigned int TDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
typedef BackwardDifferenceOperator itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >::Self

Standard class typedefs.

Reimplemented from itk::NeighborhoodOperator< TPixel, TDimension, TAllocator >.

Definition at line 47 of file itkBackwardDifferenceOperator.h.

typedef Superclass::SizeType itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::SizeType [inherited]

Size object typedef support

Reimplemented from itk::Neighborhood< TPixel, VDimension, TAllocator >.

Reimplemented in itk::AnnulusOperator< TPixel, TDimension, TAllocator >.

Definition at line 73 of file itkNeighborhoodOperator.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
typedef SizeType::SizeValueType itk::Neighborhood< TPixel, VDimension, TAllocator >::SizeValueType [inherited]
typedef SliceIterator<TPixel , Self> itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::SliceIteratorType [inherited]

Slice iterator typedef support

Reimplemented from itk::Neighborhood< TPixel, VDimension, TAllocator >.

Definition at line 79 of file itkNeighborhoodOperator.h.

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

Constructor & Destructor Documentation

template<class TPixel , unsigned int TDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >::BackwardDifferenceOperator (  )  [inline]

Constructor.

Definition at line 54 of file itkBackwardDifferenceOperator.h.


Member Function Documentation

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
virtual void itk::Neighborhood< TPixel, VDimension, TAllocator >::Allocate ( unsigned int  i  )  [inline, protected, virtual, inherited]

Allocates the neighborhood's memory buffer.

Definition at line 243 of file itkNeighborhood.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
ConstIterator itk::Neighborhood< TPixel, VDimension, TAllocator >::Begin ( void   )  const [inline, inherited]
template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
Iterator itk::Neighborhood< TPixel, VDimension, TAllocator >::Begin ( void   )  [inline, inherited]

STL-style iterator support.

Reimplemented in itk::ShapedNeighborhoodIterator< TImage, TBoundaryCondition >, and itk::ShapedNeighborhoodIterator< ImageType >.

Definition at line 155 of file itkNeighborhood.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
virtual void itk::Neighborhood< TPixel, VDimension, TAllocator >::ComputeNeighborhoodOffsetTable (  )  [protected, virtual, inherited]

Fills entries into the offset lookup table. Called once on initialization.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
virtual void itk::Neighborhood< TPixel, VDimension, TAllocator >::ComputeNeighborhoodStrideTable (  )  [protected, virtual, inherited]

Computes the entries for the stride table

virtual void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::CreateDirectional (  )  [virtual, inherited]

Creates the operator with length only in the specified direction. The radius of the operator will be 0 except along the axis on which the operator will work.

See also:
CreateToRadius
FillCenteredDirectional
SetDirection()
GetDirection()
virtual void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::CreateToRadius ( const unsigned  long  )  [virtual, inherited]

Creates the operator with a specified radius ("square", same length on each side). The spatial location of the coefficients within the operator is defined by the subclass implementation of the Fill method.

See also:
CreateDirectional
Fill
virtual void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::CreateToRadius ( const SizeType  )  [virtual, inherited]

Creates the operator with a specified radius. The spatial location of the coefficients within the operator is defined by the subclass implementation of the Fill method.

See also:
CreateDirectional
Fill
template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
ConstIterator itk::Neighborhood< TPixel, VDimension, TAllocator >::End ( void   )  const [inline, inherited]
template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
Iterator itk::Neighborhood< TPixel, VDimension, TAllocator >::End ( void   )  [inline, inherited]

STL-style iterator support.

Reimplemented in itk::ShapedNeighborhoodIterator< TImage, TBoundaryCondition >, and itk::ShapedNeighborhoodIterator< ImageType >.

Definition at line 153 of file itkNeighborhood.h.

virtual void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::Fill ( const CoefficientVector &   )  [protected, pure virtual, inherited]

A subclass-specific algorithm that positions the coefficients spatially in the operator.

template<class TPixel , unsigned int TDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
void itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >::Fill ( const CoefficientVector coeff  )  [inline, protected]

Arranges coefficients spatially in the memory buffer.

Definition at line 64 of file itkBackwardDifferenceOperator.h.

virtual void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::FillCenteredDirectional ( const CoefficientVector &   )  [protected, virtual, inherited]

A pre-defined Fill function that can be called by a subclass Fill function to center coefficients along the axis specified by the SetDirection method. Useful for creating directional operators, or centering coefficients in an N-dimensional neighborhood.

virtual void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::FlipAxes (  )  [virtual, inherited]

Reverses the direction of all axes of the operator by reversing the order of the coefficients.

template<class TPixel , unsigned int TDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
CoefficientVector itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >::GenerateCoefficients (  )  [protected, virtual]

Calculates operator coefficients.

Implements itk::NeighborhoodOperator< TPixel, TDimension, TAllocator >.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
const AllocatorType& itk::Neighborhood< TPixel, VDimension, TAllocator >::GetBufferReference (  )  const [inline, inherited]

STL-style iterator support.

Definition at line 206 of file itkNeighborhood.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
AllocatorType& itk::Neighborhood< TPixel, VDimension, TAllocator >::GetBufferReference (  )  [inline, inherited]

Returns a reference to the data buffer structure.

Definition at line 204 of file itkNeighborhood.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
unsigned int itk::Neighborhood< TPixel, VDimension, TAllocator >::GetCenterNeighborhoodIndex (  )  const [inline, inherited]

Definition at line 224 of file itkNeighborhood.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
TPixel itk::Neighborhood< TPixel, VDimension, TAllocator >::GetCenterValue (  )  const [inline, inherited]

Returns the element at the center of the neighborhood.

Definition at line 177 of file itkNeighborhood.h.

unsigned long itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::GetDirection (  )  const [inline, inherited]

Returns the direction (dimension number) of a directional operator.

Definition at line 104 of file itkNeighborhoodOperator.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
TPixel& itk::Neighborhood< TPixel, VDimension, TAllocator >::GetElement ( unsigned int  i  )  [inline, inherited]

STL-style iterator support.

Definition at line 172 of file itkNeighborhood.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
virtual unsigned int itk::Neighborhood< TPixel, VDimension, TAllocator >::GetNeighborhoodIndex ( const OffsetType  )  const [virtual, inherited]
template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
OffsetType itk::Neighborhood< TPixel, VDimension, TAllocator >::GetOffset ( unsigned int  i  )  const [inline, inherited]

Returns the itk::Offset from the center of the Neighborhood to the requested neighbor index.

Definition at line 219 of file itkNeighborhood.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
unsigned long itk::Neighborhood< TPixel, VDimension, TAllocator >::GetRadius ( const unsigned long  n  )  const [inline, inherited]

Returns the radius of the neighborhood along a specified dimension.

Definition at line 134 of file itkNeighborhood.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
const SizeType itk::Neighborhood< TPixel, VDimension, TAllocator >::GetRadius ( void   )  const [inline, inherited]

Returns the radius of the neighborhood.

Definition at line 129 of file itkNeighborhood.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
SizeType itk::Neighborhood< TPixel, VDimension, TAllocator >::GetSize ( void   )  const [inline, inherited]

Returns the size (total length of sides) of the neighborhood.

Definition at line 143 of file itkNeighborhood.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
unsigned long itk::Neighborhood< TPixel, VDimension, TAllocator >::GetSize ( const unsigned long  n  )  const [inline, inherited]

Returns the size (total length) of the neighborhood along a specified dimension.

Definition at line 139 of file itkNeighborhood.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
std::slice itk::Neighborhood< TPixel, VDimension, TAllocator >::GetSlice ( unsigned  int  )  const [inherited]
template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
unsigned itk::Neighborhood< TPixel, VDimension, TAllocator >::GetStride ( const unsigned  axis  )  const [inline, inherited]

Returns the stride length for the specified dimension. Stride length is the number of pixels between adjacent pixels along the given dimension.

Definition at line 149 of file itkNeighborhood.h.

Referenced by itk::RegionBasedLevelSetFunction< TInputImage, TFeatureImage, TSharedData >::Initialize().

void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::InitializeToZero (  )  [inline, protected, inherited]

Initializes all the coefficients in the neighborhood to zero values

Definition at line 164 of file itkNeighborhoodOperator.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
bool itk::Neighborhood< TPixel, VDimension, TAllocator >::operator!= ( const Self other  )  const [inline, inherited]

Not Equal operator.

Definition at line 121 of file itkNeighborhood.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
bool itk::Neighborhood< TPixel, VDimension, TAllocator >::operator== ( const Self other  )  const [inline, inherited]

Comparison operator.

Definition at line 113 of file itkNeighborhood.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
const TPixel& itk::Neighborhood< TPixel, VDimension, TAllocator >::operator[] ( const OffsetType o  )  const [inline, inherited]

STL-style iterator support.

Definition at line 213 of file itkNeighborhood.h.

Referenced by itk::Neighborhood< PixelType, itkGetStaticConstMacro(ImageDimension)>::operator[]().

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
TPixel& itk::Neighborhood< TPixel, VDimension, TAllocator >::operator[] ( const OffsetType o  )  [inline, inherited]

Get pixel value by offset

Definition at line 211 of file itkNeighborhood.h.

Referenced by itk::Neighborhood< PixelType, itkGetStaticConstMacro(ImageDimension)>::operator[]().

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
const TPixel& itk::Neighborhood< TPixel, VDimension, TAllocator >::operator[] ( unsigned int  i  )  const [inline, inherited]

STL-style iterator support.

Definition at line 170 of file itkNeighborhood.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
TPixel& itk::Neighborhood< TPixel, VDimension, TAllocator >::operator[] ( unsigned int  i  )  [inline, inherited]

Pass-through data access methods to the buffer.

Definition at line 168 of file itkNeighborhood.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
void itk::Neighborhood< TPixel, VDimension, TAllocator >::Print ( std::ostream &  os  )  const [inline, inherited]

Standard itk object method.

Definition at line 200 of file itkNeighborhood.h.

virtual void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::PrintSelf ( std::ostream &  os,
Indent  i 
) const [inline, virtual, inherited]
void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::ScaleCoefficients ( PixelRealType   )  [inherited]

Multiplies all of the coefficients of the kernel by a single scalar value.

void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::SetDirection ( const unsigned long &  direction  )  [inline, inherited]

Sets the dimensional direction of a directional operator.

Definition at line 100 of file itkNeighborhoodOperator.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
void itk::Neighborhood< TPixel, VDimension, TAllocator >::SetRadius ( const unsigned  long  )  [inherited]

Overloads SetRadius to allow a single long integer argument that is used as the radius of all the dimensions of the Neighborhood (resulting in a "square" neighborhood).

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
void itk::Neighborhood< TPixel, VDimension, TAllocator >::SetRadius ( const unsigned long *  rad  )  [inline, inherited]

Sets the radius for the neighborhood. Overloaded to support an unsigned long array.

Definition at line 186 of file itkNeighborhood.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
void itk::Neighborhood< TPixel, VDimension, TAllocator >::SetRadius ( const SizeType  )  [inherited]

Sets the radius for the neighborhood, calculates size from the radius, and allocates storage.

Referenced by itk::RegionBasedLevelSetFunction< TInputImage, TFeatureImage, TSharedData >::Initialize().

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
void itk::Neighborhood< TPixel, VDimension, TAllocator >::SetSize (  )  [inline, protected, inherited]

Sets the length along each dimension.

Definition at line 233 of file itkNeighborhood.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
unsigned int itk::Neighborhood< TPixel, VDimension, TAllocator >::Size ( void   )  const [inline, inherited]

Member Data Documentation

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
const unsigned int itk::Neighborhood< TPixel, VDimension, TAllocator >::NeighborhoodDimension = VDimension [static, inherited]

The documentation for this class was generated from the following file:

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