#include <BasicConvolutionWeights.h>

Public Types
typedef TDistance	Distance

Public Member Functions
	GaussianConvolutionWeights (const double sigma)
double	operator() (const Distance &aDisplacment) const

Data Fields
double	mySigma
double	myCoef
double	myCoef2

Detailed Description

template<typename TDistance>
class DGtal::GaussianConvolutionWeights< TDistance >

Aim: implement a Gaussian centered convolution kernel.

Description of template class 'GaussianConvolutionWeights'

Template Parameters:

TDistance type for topological distances.

Definition at line 89 of file BasicConvolutionWeights.h.

Member Typedef Documentation

template<typename TDistance>

typedef TDistance DGtal::GaussianConvolutionWeights< TDistance >::Distance

Inner type for the topological distance.

Definition at line 95 of file BasicConvolutionWeights.h.

Constructor & Destructor Documentation

template<typename TDistance>

DGtal::GaussianConvolutionWeights< TDistance >::GaussianConvolutionWeights ( const double sigma )

inline

Constructor

Parameters:

sigma Gaussian sigma parameter.

Definition at line 102 of file BasicConvolutionWeights.h.

References M_PI, DGtal::GaussianConvolutionWeights< TDistance >::myCoef, DGtal::GaussianConvolutionWeights< TDistance >::myCoef2, and DGtal::GaussianConvolutionWeights< TDistance >::mySigma.

                                                  : mySigma(sigma)
    {
      myCoef = 1.0/(mySigma * sqrt(2.0*M_PI));
      myCoef2 = 1.0/(2.0*M_PI);
    }

Member Function Documentation

template<typename TDistance>

double DGtal::GaussianConvolutionWeights< TDistance >::operator() ( const Distance & aDisplacment ) const

inline

Return a Gaussian weight from a distance to the gaussian function center.

Parameters:

aDisplacment distance to the center

Returns:: the weight

Definition at line 116 of file BasicConvolutionWeights.h.

References DGtal::GaussianConvolutionWeights< TDistance >::myCoef, and DGtal::GaussianConvolutionWeights< TDistance >::myCoef2.

    {
      return myCoef*exp(-NumberTraits<Distance>::castToDouble(aDisplacment)*
        NumberTraits<Distance>::castToDouble(aDisplacment)*myCoef2);
    }