#include <itkDerivativeOperator.h>

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

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

Detailed Description

template<typename TPixel, unsigned int VDimension = 2, typename 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:

using DerivativeOperatorType = itk::DerivativeOperator<float, 2>;
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:

Examples:: WikiExamples/Operators/DerivativeOperator.cxx.

Definition at line 67 of file itkDerivativeOperator.h.

Public Types
using	PixelRealType = typename Superclass::PixelRealType

using	PixelType = typename Superclass::PixelType

using	Self = DerivativeOperator

using	Superclass = NeighborhoodOperator< TPixel, VDimension, TAllocator >

Public Types inherited from itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >
using	PixelRealType = typename NumericTraits< TPixel >::RealType

using	PixelType = TPixel

using	Self = NeighborhoodOperator

using	SizeType = typename Superclass::SizeType

using	SliceIteratorType = SliceIterator< TPixel, Self >

using	Superclass = Neighborhood< TPixel, VDimension, TAllocator >

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

using	ConstIterator = typename AllocatorType::const_iterator

using	DimensionValueType = unsigned int

using	Iterator = typename AllocatorType::iterator

using	NeighborIndexType = SizeValueType

using	OffsetType = Offset< VDimension >

using	PixelType = TPixel

using	RadiusType = ::itk::Size< VDimension >

using	Self = Neighborhood

using	SizeType = ::itk::Size< VDimension >

using	SizeValueType = typename SizeType::SizeValueType

using	SliceIteratorType = SliceIterator< TPixel, Self >

Public Member Functions
	DerivativeOperator ()

	DerivativeOperator (const Self &other)

unsigned int	GetOrder () const

void	SetOrder (const unsigned int &order)


Self &	operator= (const Self &other)


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

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

virtual const char *	GetNameOfClass () const

	NeighborhoodOperator ()

	NeighborhoodOperator (const Self &orig)

void	ScaleCoefficients (PixelRealType)

void	SetDirection (const unsigned long &direction)

Self &	operator= (const Self &orig)

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

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

	itkTypeMacroNoParent (Neighborhood)

	Neighborhood (const Self &other)

	Neighborhood (Self &&)=default

bool	operator!= (const Self &other) const

Self &	operator= (const Self &other)

Self &	operator= (Self &&)=default

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 ()=default

	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
using	CoefficientVector = typename Superclass::CoefficientVector

Protected Types inherited from itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >
using	CoefficientVector = std::vector< PixelRealType >

Protected Member Functions
void	Fill (const CoefficientVector &coeff) override

CoefficientVector	GenerateCoefficients () override

Protected Member Functions inherited from itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >
virtual void	Fill (const CoefficientVector &)=0

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 {1}

Additional Inherited Members
Static Public Attributes inherited from itk::Neighborhood< TPixel, VDimension, TAllocator >
static constexpr unsigned int	NeighborhoodDimension = VDimension