spherical_harmonics.h

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/***************************************************************************
 * Authors:     AUTHOR_NAME (jvargas@cnb.csic.es)
 *
 *
 * Unidad de  Bioinformatica of Centro Nacional de Biotecnologia , CSIC
 *
 * This program is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 2 of the License, or
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 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
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 *  All comments concerning this program package may be sent to the
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#ifndef SPHERICAL_HARMONICS_H_
#define SPHERICAL_HARMONICS_H_

#include <core/alglib/specialfunctions.h>

#include <core/multidim_array.h>
#include <core/matrix2d.h>
//#include "../../../kk/gsl-1.16/gsl/gsl_sf_gegenbauer.h"

# define pi           3.14159265358979323846  /* pi */
# define sampling  100;

#endif /* SPHERICAL_HARMONICS_H_ */

//Spherical harmonics (SH) as defined by Guan Koay in "A signal transformational
//framework for breaking the noise floor and its applications in MRI".
//he obtained Spherical harmonics are real and orthonormal. Theta is zenith angle and varphi is azimuthal angle, as defined in
// physics space
class PolySphericalHarmonics
{
private:

    bool save;

public:

    void shPols(int degree, MultidimArray<double> & im, int verbose=0);

    inline double shPols(int degree, int m, double theta,double varphi);

private:


    //We store it as double because there is a lot of division between factorials in the
    // SH implementation
    inline  double factorial(size_t n)
    {
        double f=1;

        for (size_t var = 1; var <= n; var++)
            f *= var;

        return f;
    }

public:

    PolySphericalHarmonics(bool doSave=false)
    {
            save = doSave;
    }

};