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itk::GaussianOperator< TPixel, VDimension, TAllocator > Class Template Reference
[Operators]

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

#include <itkGaussianOperator.h>

Inheritance diagram for itk::GaussianOperator:

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

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List of all members.

Public Types

typedef GaussianOperator Self
typedef NeighborhoodOperator<
TPixel, VDimension, TAllocator > 
Superclass

Public Methods

 GaussianOperator ()
void SetVariance (const double &variance)
void SetMaximumError (const double &max_error)
double GetVariance ()
double GetMaximumError ()
void SetMaximumKernelWidth (unsigned int n)
unsigned int GetMaximumKernelWidth () const
 GaussianOperator (const Self &other)
Selfoperator= (const Self &other)
virtual void PrintSelf (std::ostream &os, Indent i) const

Protected Types

typedef Superclass::CoefficientVector CoefficientVector

Protected Methods

double ModifiedBesselI0 (double)
double ModifiedBesselI1 (double)
double ModifiedBesselI (int, double)
CoefficientVector GenerateCoefficients ()
void Fill (const CoefficientVector &coeff)

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

Definition at line 61 of file itkGaussianOperator.h.


Member Typedef Documentation

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
typedef Superclass::CoefficientVector itk::GaussianOperator< TPixel, VDimension, TAllocator >::CoefficientVector [protected]
 

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

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

Definition at line 143 of file itkGaussianOperator.h.

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

Standard class typedefs.

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

Definition at line 66 of file itkGaussianOperator.h.

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

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

Definition at line 67 of file itkGaussianOperator.h.


Constructor & Destructor Documentation

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

Constructor.

Definition at line 70 of file itkGaussianOperator.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
itk::GaussianOperator< TPixel, VDimension, TAllocator >::GaussianOperator const Self   other [inline]
 

Copy constructor

Definition at line 73 of file itkGaussianOperator.h.


Member Function Documentation

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
void itk::GaussianOperator< TPixel, VDimension, TAllocator >::Fill const CoefficientVector   coeff [inline, protected, virtual]
 

Arranges coefficients spatially in the memory buffer.

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

Definition at line 160 of file itkGaussianOperator.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
CoefficientVector itk::GaussianOperator< TPixel, VDimension, TAllocator >::GenerateCoefficients   [protected, virtual]
 

Calculates operator coefficients.

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

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
double itk::GaussianOperator< TPixel, VDimension, TAllocator >::GetMaximumError   [inline]
 

Returns the maximum error of the gaussian approximation. Maximum error is the difference between the area under the discrete Gaussian curve and the area under the continuous Gaussian. Maximum error affects the Gaussian operator size.

Definition at line 117 of file itkGaussianOperator.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
unsigned int itk::GaussianOperator< TPixel, VDimension, TAllocator >::GetMaximumKernelWidth   const [inline]
 

Returns the maximum allowed kernel width.

Definition at line 128 of file itkGaussianOperator.h.

References HardConnectedComponentImageFilter::PrintSelf().

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
double itk::GaussianOperator< TPixel, VDimension, TAllocator >::GetVariance void    [inline]
 

Returns the variance of the Gaussian (scale) for the operator.

Definition at line 110 of file itkGaussianOperator.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
double itk::GaussianOperator< TPixel, VDimension, TAllocator >::ModifiedBesselI int   ,
double   
[protected]
 

Returns the value of the modified Bessel function Ik(x) at a point x>=0, where k>=2.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
double itk::GaussianOperator< TPixel, VDimension, TAllocator >::ModifiedBesselI0 double    [protected]
 

Returns the value of the modified Bessel function I0(x) at a point x >= 0.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
double itk::GaussianOperator< TPixel, VDimension, TAllocator >::ModifiedBesselI1 double    [protected]
 

Returns the value of the modified Bessel function I1(x) at a point x, x real.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
Self& itk::GaussianOperator< TPixel, VDimension, TAllocator >::operator= const Self   other [inline]
 

Assignment operator

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

Definition at line 82 of file itkGaussianOperator.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
virtual void itk::GaussianOperator< TPixel, VDimension, TAllocator >::PrintSelf std::ostream &    os,
Indent    i
const [inline, virtual]
 

Prints some debugging information.

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

Definition at line 132 of file itkGaussianOperator.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
void itk::GaussianOperator< TPixel, VDimension, TAllocator >::SetMaximumError const double &    max_error [inline]
 

Sets the desired maximum error of the gaussian approximation. Maximum error is the difference between the area under the discrete Gaussian curve and the area under the continuous Gaussian. Maximum error affects the Gaussian operator size.

Definition at line 99 of file itkGaussianOperator.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
void itk::GaussianOperator< TPixel, VDimension, TAllocator >::SetMaximumKernelWidth unsigned int    n [inline]
 

Sets a limit for growth of the kernel. Small maximum error values with large variances will yield very large kernel sizes. This value can be used to truncate a kernel in such instances. A warning will be given on truncation of the kernel.

Definition at line 124 of file itkGaussianOperator.h.

template<class TPixel, unsigned int VDimension = 2, class TAllocator = NeighborhoodAllocator<TPixel>>
void itk::GaussianOperator< TPixel, VDimension, TAllocator >::SetVariance const double &    variance [inline]
 

Sets the desired variance of the Gaussian kernel.

Definition at line 92 of file itkGaussianOperator.h.


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