s2let_transform_axisym_lm.c File Reference

#include <complex.h>
#include <math.h>
#include <stdlib.h>
#include "s2let.h"

Include dependency graph for s2let_transform_axisym_lm.c:

Functions
void	s2let_transform_axisym_lm_allocate_f_wav (complex double **f_wav_lm, complex double **f_scal_lm, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_lm_allocate_f_wav_multires (complex double **f_wav_lm, complex double **f_scal_lm, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_lm_allocate_wav (double **wav_lm, double **scal_lm, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_lm_wav (double *wav_lm, double *scal_lm, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_lm_wav_analysis (complex double *f_wav_lm, complex double *f_scal_lm, const complex double *flm, const double *wav_lm, const double *scal_lm, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_lm_wav_synthesis (complex double *flm, const complex double *f_wav_lm, const complex double *f_scal_lm, const double *wav_lm, const double *scal_lm, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_lm_wav_analysis_multires (complex double *f_wav_lm, complex double *f_scal_lm, const complex double *flm, const double *wav_lm, const double *scal_lm, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_lm_wav_synthesis_multires (complex double *flm, const complex double *f_wav_lm, const complex double *f_scal_lm, const double *wav_lm, const double *scal_lm, const s2let_parameters_t *parameters)

Function Documentation

s2let_transform_axisym_lm_allocate_f_wav()

void s2let_transform_axisym_lm_allocate_f_wav	(	complex double **	f_wav_lm,
		complex double **	f_scal_lm,
		const s2let_parameters_t *	parameters
	)

Allocates arrays for wavelet transform in harmonic space.

Parameters

[out]	f_wav_lm	Harmonic coefficients of the wavelet contributions. Each wavelet has size L*L and there are (J-J_min+1) scales.
[out]	f_scal_lm	Harmonic coefficients of the scaling contribution (L*L).
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_lm_allocate_f_wav_multires()

void s2let_transform_axisym_lm_allocate_f_wav_multires	(	complex double **	f_wav_lm,
		complex double **	f_scal_lm,
		const s2let_parameters_t *	parameters
	)

Allocates multiresolution arrays for wavelet transforms in harmonic space.

Parameters

[out]	f_wav_lm	Harmonic coefficients of the wavelet contributions. The size of each wavelet depends on its band-limit.
[out]	f_scal_lm	Harmonic coefficients of the scaling contribution.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_lm_allocate_wav()

void s2let_transform_axisym_lm_allocate_wav	(	double **	wav_lm,
		double **	scal_lm,
		const s2let_parameters_t *	parameters
	)

Allocates arrays for the kernels of the wavelets and the scaling functions.

Parameters

[out]	wav_lm	Wavelet kernels.
[out]	scal_lm	Scaling function kernels.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.

Return values

none

s2let_transform_axisym_lm_wav()

void s2let_transform_axisym_lm_wav	(	double *	wav_lm,
		double *	scal_lm,
		const s2let_parameters_t *	parameters
	)

Computes the kernels of the wavelets and the scaling functions.

Parameters

[out]	wav_lm	Wavelet kernels.
[out]	scal_lm	Scaling function kernels.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_lm_wav_analysis()

void s2let_transform_axisym_lm_wav_analysis	(	complex double *	f_wav_lm,
		complex double *	f_scal_lm,
		const complex double *	flm,
		const double *	wav_lm,
		const double *	scal_lm,
		const s2let_parameters_t *	parameters
	)

Spherical wavelets : full resolution analysis in harmonic space. Perform wavelet transform from precomputed kernels and gives the harmonic coefficients.

Parameters

[out]	f_wav_lm	Wavelet transform (harmonic coefficients of wavelet contribution).
[out]	f_scal_lm	Wavelet transform (harmonic coefficients of scaling contribution).
[in]	flm	Spherical harmonic decomposition of input function.
[in]	wav_lm	Wavelet kernels.
[in]	scal_lm	Scaling function kernels.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_lm_wav_analysis_multires()

void s2let_transform_axisym_lm_wav_analysis_multires	(	complex double *	f_wav_lm,
		complex double *	f_scal_lm,
		const complex double *	flm,
		const double *	wav_lm,
		const double *	scal_lm,
		const s2let_parameters_t *	parameters
	)

Spherical wavelets : multiresolution analysis in harmonic space. Perform multiresolution wavelet transform in harmonic space from precomputed kernels and gives harmonic coefficients.

Parameters

[out]	f_wav_lm	Wavelet transform (SHA of wavelet contribution).
[out]	f_scal_lm	Wavelet transform (SHA of scaling contribution).
[in]	flm	Spherical harmonic decomposition of input function.
[in]	wav_lm	Wavelet kernels.
[in]	scal_lm	Scaling function kernels.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_lm_wav_synthesis()

void s2let_transform_axisym_lm_wav_synthesis	(	complex double *	flm,
		const complex double *	f_wav_lm,
		const complex double *	f_scal_lm,
		const double *	wav_lm,
		const double *	scal_lm,
		const s2let_parameters_t *	parameters
	)

Spherical wavelets : full resolution synthesis in harmonic space. Perform wavelet transform in harmonic space from precomputed kernels and gives harmonic coefficients.

Parameters

[out]	flm	Spherical harmonic decomposition of input function.
[in]	f_wav_lm	Wavelet transform (harmonic coefficients of wavelet contribution).
[in]	f_scal_lm	Wavelet transform (harmonic coefficients of scaling contribution).
[in]	wav_lm	Wavelet kernels.
[in]	scal_lm	Scaling function kernels.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_lm_wav_synthesis_multires()

void s2let_transform_axisym_lm_wav_synthesis_multires	(	complex double *	flm,
		const complex double *	f_wav_lm,
		const complex double *	f_scal_lm,
		const double *	wav_lm,
		const double *	scal_lm,
		const s2let_parameters_t *	parameters
	)

Spherical wavelets : multiresolution synthesis in harmonic space. Perform multiresolution wavelet transform in harmonic space from precomputed kernels and gives harmonic coefficients.

Parameters

[out]	flm	Spherical harmonic decomposition of input function.
[in]	f_wav_lm	Wavelet transform (SHA of wavelet contribution).
[in]	f_scal_lm	Wavelet transform (SHA of scaling contribution).
[in]	wav_lm	Wavelet kernels.
[in]	scal_lm	Scaling function kernels.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none