#include <itkGaussianDerivativeOperator.h>

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

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

Detailed Description

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

A NeighborhoodOperator whose coefficients are a one dimensional, discrete derivative Gaussian kernel.

GaussianDerivativeOperator can be used to calculate Gaussian derivatives by taking its inner product with to a Neighborhood (NeighborhooIterator) that is swept across an image region. It is a directional operator. N successive applications oriented along each dimensional direction will calculate separable, efficient, N-D Gaussian derivatives of an image region.

GaussianDerivativeOperator takes three parameters:

(1) The floating-point variance of the desired Gaussian function.

(2) The order of the derivative to be calculated (zero order means it performs only smoothing as a standard itk::GaussianOperator)

(3) The "maximum error" allowed in the discrete Gaussian function. "Maximum errror" is defined as the difference between the area under the discrete Gaussian curve and the area under the continuous Gaussian. Maximum error affects the Gaussian operator size. Care should be taken not to make this value too small relative to the variance lest the operator size become unreasonably large.

References: The Gaussian kernel contained in this operator was described by Tony Lindeberg (Discrete Scale-Space Theory and the Scale-Space Primal Sketch. Dissertation. Royal Institute of Technology, Stockholm, Sweden. May 1991.).

Author: Ivan Macia, VICOMTech, Spain, http://www.vicomtech.es

This implementation is derived from the Insight Journal paper: http://hdl.handle.net/1926/1290

See Also: GaussianOperator; NeighborhoodOperator; NeighborhoodIterator; Neighborhood

Wiki Examples:

All Examples

Create a Gaussian derivative kernel

Definition at line 77 of file itkGaussianDerivativeOperator.h.

Public Types
typedef DerivativeOperator < TPixel, VDimension, TAllocator >	DerivativeOperatorType

typedef GaussianOperator < TPixel, VDimension, TAllocator >	GaussianOperatorType

typedef GaussianDerivativeOperator	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
	GaussianDerivativeOperator ()

	GaussianDerivativeOperator (const Self &other)

double	GetMaximumError ()

Self &	operator= (const Self &other)

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

void	SetMaximumError (const double maxerror)

void	SetMaximumKernelWidth (unsigned int n)


void	SetNormalizeAcrossScale (bool flag)

bool	GetNormalizeAcrossScale () const

virtual void	NormalizeAcrossScaleOn ()

virtual void	NormalizeAcrossScaleOff ()


void	SetVariance (const double variance)

double	GetVariance () const


void	SetSpacing (const double spacing)

double	GetSpacing () const


void	SetOrder (const unsigned int order)

unsigned int	GetOrder () 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 ()

Static Protected Member Functions
static double	ModifiedBesselI (int, double)

static double	ModifiedBesselI0 (double)

static double	ModifiedBesselI1 (double)

Private Member Functions
CoefficientVector	GenerateGaussianCoefficients () const

const char *	GetNameOfClass () const

Private Attributes
double	m_MaximumError

unsigned int	m_MaximumKernelWidth

bool	m_NormalizeAcrossScale

unsigned int	m_Order

double	m_Spacing

double	m_Variance

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