#include <itkDerivativeOperator.h>

Inheritance diagram for itk::DerivativeOperator< TPixel, VDimension, TAllocator >:

Collaboration diagram for itk::DerivativeOperator< TPixel, VDimension, TAllocator >:

Detailed Description

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator< TPixel >>
class itk::DerivativeOperator< TPixel, VDimension, TAllocator >

A NeighborhoodOperator for taking an n-th order derivative at a pixel.

DerivativeOperator's coefficients are a tightest-fitting convolution kernel for calculating the n-th order directional derivative at a pixel. DerivativeOperator is a directional NeighborhoodOperator that should be applied to a Neighborhood or NeighborhoodPointer using the inner product method.

An example operator to compute X derivatives of a 2D image can be created with:

typedef itk::DerivativeOperator<float, 2> DerivativeOperatorType;
DerivativeOperatorType derivativeOperator;
derivativeOperator.SetDirection(0); // X dimension
itk::Size<2> radius;
radius.Fill(1); // A radius of 1 in both dimensions is a 3x3 operator
derivativeOperator.CreateToRadius(radius);

and creates a kernel that looks like:

      0 0
5  0   -0.5
  0   0

See Also: NeighborhoodOperator; Neighborhood; ForwardDifferenceOperator; BackwardDifferenceOperator

Wiki Examples:

All Examples

Create a derivative kernel

Definition at line 67 of file itkDerivativeOperator.h.

Public Types
typedef Superclass::PixelRealType	PixelRealType

typedef Superclass::PixelType	PixelType

typedef DerivativeOperator	Self

typedef NeighborhoodOperator < TPixel, VDimension, TAllocator >	Superclass

Public Types inherited from itk::NeighborhoodOperator< TPixel, VDimension, 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
	DerivativeOperator ()

	DerivativeOperator (const Self &other)

unsigned int	GetOrder () const

void	SetOrder (const unsigned int &order)


Self &	operator= (const Self &other)


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

Public Member Functions inherited from itk::NeighborhoodOperator< TPixel, VDimension, 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)

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 *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, VDimension, TAllocator >
typedef std::vector< double >	CoefficientVector

Protected Member Functions
void	Fill (const CoefficientVector &coeff)

CoefficientVector	GenerateCoefficients ()

Protected Member Functions inherited from itk::NeighborhoodOperator< TPixel, VDimension, 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 Attributes
unsigned int	m_Order

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