s2let_synthesis.c File Reference

#include <complex.h>
#include <math.h>
#include <so3/so3.h>
#include <ssht/ssht.h>
#include <stdio.h>
#include <stdlib.h>
#include "s2let.h"

Include dependency graph for s2let_synthesis.c:

Functions
void	s2let_synthesis_lmn2lm (complex double *flm, const complex double *f_wav_lmn, const complex double *f_scal_lm, const complex double *wav_lm, const double *scal_l, const s2let_parameters_t *parameters)
void	s2let_synthesis_lmn2lm_real (complex double *flm, const complex double *f_wav_lmn, const complex double *f_scal_lm, const complex double *wav_lm, const double *scal_l, const s2let_parameters_t *parameters)
void	s2let_synthesis_wav2lm_manual (complex double *flm, const complex double *f_wav, const complex double *f_scal, const double *scal_l, const complex double *wav_lm, const int scal_bandlimit, const int *wav_bandlimits, int J, int L, int spin, int N)
void	s2let_synthesis_wav2lm (complex double *flm, const complex double *f_wav, const complex double *f_scal, const s2let_parameters_t *parameters)
void	s2let_synthesis_wav2lm_real (complex double *flm, const double *f_wav, const double *f_scal, const s2let_parameters_t *parameters)
void	s2let_synthesis_wav2px (complex double *f, const complex double *f_wav, const complex double *f_scal, const s2let_parameters_t *parameters)
void	s2let_synthesis_wav2px_real (double *f, const double *f_wav, const double *f_scal, const s2let_parameters_t *parameters)

Function Documentation

s2let_synthesis_lmn2lm()

void s2let_synthesis_lmn2lm	(	complex double *	flm,
		const complex double *	f_wav_lmn,
		const complex double *	f_scal_lm,
		const complex double *	wav_lm,
		const double *	scal_l,
		const s2let_parameters_t *	parameters
	)

Wavelet synthesis from Wigner space to harmonic space for complex signals.

Parameters

[out]	flm	Spherical harmonic coefficients of input function.
[in]	f_wav_lmn	Wavelet transform (Wigner coefficients of wavelet contribution).
[in]	f_scal_lm	Wavelet transform (spherical harmonic coefficients of scaling contribution).
[in]	wav_lm	Wavelet kernels.
[in]	scal_l	Scaling function kernels.
[in]	parameters	A fully populated parameters object. The reality flag is ignored. Use s2let_synthesis_lmn2lm_real instead for real signals.

Return values

none

s2let_synthesis_lmn2lm_real()

void s2let_synthesis_lmn2lm_real	(	complex double *	flm,
		const complex double *	f_wav_lmn,
		const complex double *	f_scal_lm,
		const complex double *	wav_lm,
		const double *	scal_l,
		const s2let_parameters_t *	parameters
	)

Wavelet synthesis from Wigner space to harmonic space for real signals.

Parameters

[out]	flm	Spherical harmonic coefficients of input function.
[in]	f_wav_lmn	Wavelet transform (Wigner coefficients of wavelet contribution).
[in]	f_scal_lm	Wavelet transform (spherical harmonic coefficients of scaling contribution).
[in]	wav_lm	Wavelet kernels.
[in]	scal_l	Scaling function kernels.
[in]	parameters	A fully populated parameters object. The reality flag is ignored. Use s2let_synthesis_lmn2lm instead for complex signals.

Return values

none

s2let_synthesis_wav2lm()

void s2let_synthesis_wav2lm	(	complex double *	flm,
		const complex double *	f_wav,
		const complex double *	f_scal,
		const s2let_parameters_t *	parameters
	)

Wavelet synthesis from wavelet space to harmonic space for complex signals.

Parameters

[out]	flm	Spherical harmonic coefficients of the signal
[in]	f_wav	Array of wavelets maps
[in]	f_scal	Scaling function map
[in]	parameters	A fully populated parameters object. The reality flag is ignored. Use s2let_synthesis_wav2lm_real instead for real signals.

Return values

none

s2let_synthesis_wav2lm_manual()

void s2let_synthesis_wav2lm_manual	(	complex double *	flm,
		const complex double *	f_wav,
		const complex double *	f_scal,
		const double *	scal_l,
		const complex double *	wav_lm,
		const int	scal_bandlimit,
		const int *	wav_bandlimits,
		int	J,
		int	L,
		int	spin,
		int	N
	)

Wavelet analysis from wavelet space to harmonic space for complex signals. with fully manual wavelet tiling, using multiresolution as default with the band-limits provided in input.

Parameters

[out]	flm	Spherical harmonic coefficients of the signal
[in]	f_wav	Array of wavelets maps
[in]	f_scal	Scaling function map
[in]	scal_l	Array of size L containing the \ell space tiling for the scaling fct. It is only \ell because it is assumed to be axisymmetric.
[in]	wav_lm	Array of size (J+1)*L*L containing the (\ell, space) harmonic coefs of the wavelets. They can be directional. These must make sense and define a valid invertible transform as no extra checks are performed.
[in]	scal_bandlimit	Same as wav_bandlimits but only one integer: the band-limit of the scaling function.
[in]	wav_bandlimits	Array of integers of size J+1 containing the band-limits of the wavelets. Will be used to do the multiresolution. These must make sense and define a valid invertible transform as no extra checks are performed.
[in]	J	Number of scales in total (in wav_bandlimits) is J+1.
[in]	L	Band-limit for the transform: defines the size of all awways.
[in]	spin	Spin (integer) to perform the transform
[in]	N	Azimuthal band-limit for the directional transform

Return values

none

s2let_synthesis_wav2lm_real()

void s2let_synthesis_wav2lm_real	(	complex double *	flm,
		const double *	f_wav,
		const double *	f_scal,
		const s2let_parameters_t *	parameters
	)

Wavelet synthesis from wavelet space to harmonic space for real signals.

Parameters

[out]	flm	Spherical harmonic coefficients of the signal
[in]	f_wav	Array of wavelets maps
[in]	f_scal	Scaling function map
[in]	parameters	A fully populated parameters object. The reality flag is ignored. Use s2let_synthesis_wav2lm instead for complex signals.

Return values

none

s2let_synthesis_wav2px()

void s2let_synthesis_wav2px	(	complex double *	f,
		const complex double *	f_wav,
		const complex double *	f_scal,
		const s2let_parameters_t *	parameters
	)

Wavelet synthesis from wavelet space to pixel space for complex signals.

Parameters

[out]	f	Signal on the sphere
[in]	f_wav	Array of wavelets maps
[in]	f_scal	Scaling function map
[in]	parameters	A fully populated parameters object. The reality flag is ignored. Use s2let_synthesis_wav2px_real instead for real signals.

Return values

none

s2let_synthesis_wav2px_real()

void s2let_synthesis_wav2px_real	(	double *	f,
		const double *	f_wav,
		const double *	f_scal,
		const s2let_parameters_t *	parameters
	)

Wavelet synthesis from wavelet space to pixel space for real signals.

Parameters

[out]	f	Signal on the sphere
[in]	f_wav	Array of wavelets maps
[in]	f_scal	Scaling function map
[in]	parameters	A fully populated parameters object. The reality flag is ignored. Use s2let_synthesis_wav2px instead for complex signals.

Return values

none