itk::DerivativeOperator< TPixel, VDimension, TAllocator > Class Template Reference

#include <itkDerivativeOperator.h>

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
constexpr auto radius = itk::Size<2>::Filled(1); // A radius of 1 in both dimensions is a 3x3 operator
derivativeOperator.CreateToRadius(radius);

and creates a kernel that looks like:

0        0 0
0.5  0   -0.5
0    0   0

Note

DerivativeOperator does not have any user-declared "special member function", following the C++ Rule of Zero: the compiler will generate them if necessary.

See also

NeighborhoodOperator

Neighborhood

ForwardDifferenceOperator

BackwardDifferenceOperator

ITK Sphinx Examples:

• All ITK Sphinx Examples

• Create Derivative Kernel

Examples

SphinxExamples/src/Core/Common/CreateDerivativeKernel/Code.cxx, and SphinxExamples/src/Core/Common/DemonstrateAllOperators/Code.cxx.

Definition at line 68 of file itkDerivativeOperator.h.

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

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

Public Types
using	PixelRealType = typename NumericTraits< TPixel >::RealType
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 = itk::Size< VDimension >
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
const char *	GetNameOfClass () const override
unsigned int	GetOrder () const
void	PrintSelf (std::ostream &os, Indent indent) const override
void	SetOrder (const unsigned int order)
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
const char *	GetNameOfClass () const override
void	PrintSelf (std::ostream &os, Indent indent) const override
void	ScaleCoefficients (PixelRealType)
void	SetDirection (const unsigned long direction)
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
SizeType	GetSize () const
SizeValueType	GetSize (DimensionValueType n) const
std::slice	GetSlice (unsigned int) const
OffsetValueType	GetStride (DimensionValueType axis) const
	ITK_UNEQUAL_OPERATOR_MEMBER_FUNCTION (Self)
	Neighborhood ()=default
	Neighborhood (const Self &)=default
	Neighborhood (Self &&)=default
Self &	operator= (const Self &)=default
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
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 std::vector< PixelRealType >
Protected Types inherited from itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >
using	CoefficientVector = typename 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	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

Member Typedef Documentation

CoefficientVector

template<typename TPixel, unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>

using itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >::CoefficientVector = typename std::vector<PixelRealType>

protected

Type alias support for coefficient vector type. Necessary to fix bug in the microsoft VC++ compiler.

Definition at line 153 of file itkNeighborhoodOperator.h.

PixelRealType

template<typename TPixel, unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>

using itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >::PixelRealType = typename NumericTraits<TPixel>::RealType

Definition at line 90 of file itkNeighborhoodOperator.h.

Self

template<typename TPixel, unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>

using itk::DerivativeOperator< TPixel, VDimension, TAllocator >::Self = DerivativeOperator

Standard class type aliases.

Definition at line 73 of file itkDerivativeOperator.h.

Superclass

template<typename TPixel, unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>

using itk::DerivativeOperator< TPixel, VDimension, TAllocator >::Superclass = NeighborhoodOperator<TPixel, VDimension, TAllocator>

Definition at line 74 of file itkDerivativeOperator.h.

Member Function Documentation

Fill()

template<typename TPixel, unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>

void itk::DerivativeOperator< TPixel, VDimension, TAllocator >::Fill ( const CoefficientVector &  coeff )

inlineoverrideprotectedvirtual

Arranges coefficients spatially in the memory buffer.

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

Definition at line 114 of file itkDerivativeOperator.h.

GenerateCoefficients()

template<typename TPixel, unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>

CoefficientVector itk::DerivativeOperator< TPixel, VDimension, TAllocator >::GenerateCoefficients ( )

overrideprotectedvirtual

Calculates operator coefficients.

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

GetNameOfClass()

template<typename TPixel, unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>

const char* itk::DerivativeOperator< TPixel, VDimension, TAllocator >::GetNameOfClass ( ) const

overridevirtual

See also

LightObject::GetNameOfClass()

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

GetOrder()

template<typename TPixel, unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>

unsigned int itk::DerivativeOperator< TPixel, VDimension, TAllocator >::GetOrder ( ) const

inline

Returns the order of the derivative.

Definition at line 91 of file itkDerivativeOperator.h.

PrintSelf()

template<typename TPixel, unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>

void itk::DerivativeOperator< TPixel, VDimension, TAllocator >::PrintSelf ( std::ostream &  , Indent    ) const

inlineoverridevirtual

Standard itk object method.

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

Definition at line 97 of file itkDerivativeOperator.h.

SetOrder()

template<typename TPixel, unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>

void itk::DerivativeOperator< TPixel, VDimension, TAllocator >::SetOrder ( const unsigned int  order )

inline

Sets the order of the derivative.

Definition at line 84 of file itkDerivativeOperator.h.

Member Data Documentation

m_Order

template<typename TPixel, unsigned int VDimension = 2, typename TAllocator = NeighborhoodAllocator<TPixel>>

unsigned int itk::DerivativeOperator< TPixel, VDimension, TAllocator >::m_Order { 1 }

private

Order of the derivative.

Definition at line 121 of file itkDerivativeOperator.h.

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

• itkDerivativeOperator.h