so3_conv.c File Reference

#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <complex.h>
#include "so3/so3_types.h"
#include "so3/so3_error.h"
#include "so3/so3_sampling.h"
#include "so3/so3_core.h"
#include <ssht/ssht.h>

Include dependency graph for so3_conv.c:

Macros
#define	MAX(a, b)   ((a > b) ? (a) : (b))
#define	MIN(a, b)   ((a < b) ? (a) : (b))

Functions
void	so3_conv_harmonic_convolution (SO3_COMPLEX(double) *hlmn, const so3_parameters_t *h_parameters, const SO3_COMPLEX(double) *flmn, const so3_parameters_t *f_parameters, const SO3_COMPLEX(double) *glmn, const so3_parameters_t *g_parameters)
so3_parameters_t	so3_conv_get_parameters_of_convolved_lmn (const so3_parameters_t *f_parameters, const so3_parameters_t *g_parameters)
void	so3_conv_get_parameters_of_convolved_lmn_void (so3_parameters_t *h_parameters, const so3_parameters_t *f_parameters, const so3_parameters_t *g_parameters)
void	so3_conv_convolution (SO3_COMPLEX(double) *h, const so3_parameters_t *h_parameters, const SO3_COMPLEX(double) *f, const so3_parameters_t *f_parameters, const SO3_COMPLEX(double) *g, const so3_parameters_t *g_parameters)
void	so3_conv_s2toso3_harmonic_convolution (SO3_COMPLEX(double) *hlmn, const so3_parameters_t *h_parameters, const SO3_COMPLEX(double) *flm, const SO3_COMPLEX(double) *glm)

Detailed Description

Core algorithms to perform Wigner transform on the rotation group SO(§).

Author

Martin Büttner

Jason McEwen

Macro Definition Documentation

MAX

#define MAX	(		a,
			b
	)		((a > b) ? (a) : (b))

MIN

#define MIN	(		a,
			b
	)		((a < b) ? (a) : (b))

Function Documentation

so3_conv_convolution()

void so3_conv_convolution	(	SO3_COMPLEX(double) *	h,
		const so3_parameters_t *	h_parameters,
		const SO3_COMPLEX(double) *	f,
		const so3_parameters_t *	f_parameters,
		const SO3_COMPLEX(double) *	g,
		const so3_parameters_t *	g_parameters
	)

Compute the convolution of one signal with another in real space by doing the convolution in harmonic space h = f (*) g

Parameters

[out]	h	real space (alpha, beta, gamma)
[in]	parameters	of h A fully populated parameters object.
[in]	f	real space (alpha, beta, gamma)
[in]	parameters	of f A fully populated parameters object.
[in]	g	real space (alpha, beta, gamma)
[in]	parameters	of g A fully populated parameters object.

Return values

none

Author

Martin Büttner

Jason McEwen

so3_conv_get_parameters_of_convolved_lmn()

so3_parameters_t so3_conv_get_parameters_of_convolved_lmn	(	const so3_parameters_t *	f_parameters,
		const so3_parameters_t *	g_parameters
	)

Compute the parameters for the hlmn for the convolution of one signal with another in harmonic space h = f (*) g

Parameters

[in]	parameters	for glmn Harmonic coefficients.
[out]	parameters	for hlmn Harmonic coefficients
[in]	parameters	for flmn Harmonic coefficients.

Return values

none

Author

Martin Büttner

Jason McEwen

so3_conv_get_parameters_of_convolved_lmn_void()

void so3_conv_get_parameters_of_convolved_lmn_void	(	so3_parameters_t *	h_parameters,
		const so3_parameters_t *	f_parameters,
		const so3_parameters_t *	g_parameters
	)

so3_conv_harmonic_convolution()

void so3_conv_harmonic_convolution	(	SO3_COMPLEX(double) *	hlmn,
		const so3_parameters_t *	h_parameters,
		const SO3_COMPLEX(double) *	flmn,
		const so3_parameters_t *	f_parameters,
		const SO3_COMPLEX(double) *	glmn,
		const so3_parameters_t *	g_parameters
	)

Compute the convolution of one signal with another in harmonic space h = f (*) g

Parameters

[out]	hlmn	Harmonic coefficients. Provide a buffer of size (L*L*(2*N-1).
[in]	parameters	of hlmn A fully populated parameters object.
[in]	flmn	Harmonic coefficients.
[in]	parameters	of flmn A fully populated parameters object.
[in]	glmn	Harmonic coefficients.
[in]	parameters	of glmn A fully populated parameters object.

Return values

none

Author

Martin Büttner

Jason McEwen

so3_conv_s2toso3_harmonic_convolution()

void so3_conv_s2toso3_harmonic_convolution	(	SO3_COMPLEX(double) *	hlmn,
		const so3_parameters_t *	h_parameters,
		const SO3_COMPLEX(double) *	flm,
		const SO3_COMPLEX(double) *	glm
	)