#include <itkGaussianOperator.h>

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

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

Public Types
typedef GaussianOperator	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 Superclass::SizeType	SizeType
typedef SliceIterator< TPixel, Self >	SliceIteratorType
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 SizeType::SizeValueType	SizeValueType

Public Member Functions
	GaussianOperator ()
double	GetMaximumError ()
unsigned int	GetMaximumKernelWidth () const
double	GetVariance ()
double	ModifiedBesselI (int, double)
double	ModifiedBesselI0 (double)
double	ModifiedBesselI1 (double)
void	SetMaximumError (const double &max_error)
void	SetMaximumKernelWidth (unsigned int n)
void	SetVariance (const double &variance)

	GaussianOperator (const Self &other)

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
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 >

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 Member Functions
const char *	GetNameOfClass ()

Private Attributes
double	m_MaximumError
unsigned int	m_MaximumKernelWidth
double	m_Variance

Detailed Description

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

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

GaussianOperator can be used to perform Gaussian blurring 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 effect separable, efficient, N-D Gaussian blurring of an image region.

GaussianOperator takes two parameters:

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

(2) 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.).

See also:: NeighborhoodOperator; NeighborhoodIterator; Neighborhood

Wiki Examples:

All Examples

Create a Gaussian kernel

Definition at line 67 of file itkGaussianOperator.h.