s2let_synthesis_adjoint.h File Reference

#include <ssht/ssht.h>

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Functions
void	s2let_synthesis_adjoint_lm2lmn (S2LET_COMPLEX(double) *f_wav_lmn, S2LET_COMPLEX(double) *f_scal_lm, const S2LET_COMPLEX(double) *flm, const S2LET_COMPLEX(double) *wav_lm, const double *scal_l, const s2let_parameters_t *parameters)
	~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ More...
void	s2let_synthesis_adjoint_lm2lmn_real (S2LET_COMPLEX(double) *f_wav_lmn, S2LET_COMPLEX(double) *f_scal_lm, const S2LET_COMPLEX(double) *flm, const S2LET_COMPLEX(double) *wav_lm, const double *scal_l, const s2let_parameters_t *parameters)
	~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ More...
void	s2let_synthesis_adjoint_lm2wav_manual (S2LET_COMPLEX(double) *f_wav, S2LET_COMPLEX(double) *f_scal, const S2LET_COMPLEX(double) *flm, const double *scal_l, const S2LET_COMPLEX(double) *wav_lm, const int scal_bandlimit, const int *wav_bandlimits, int J, int L, int spin, int N)
	~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ More...
void	s2let_synthesis_adjoint_lm2wav (S2LET_COMPLEX(double) *f_wav, S2LET_COMPLEX(double) *f_scal, const S2LET_COMPLEX(double) *flm, const s2let_parameters_t *parameters)
	~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ More...
void	s2let_synthesis_adjoint_lm2wav_real (double *f_wav, double *f_scal, const S2LET_COMPLEX(double) *flm, const s2let_parameters_t *parameters)
	~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ More...
void	s2let_synthesis_adjoint_px2wav (S2LET_COMPLEX(double) *f_wav, S2LET_COMPLEX(double) *f_scal, const S2LET_COMPLEX(double) *f, const s2let_parameters_t *parameters)
	~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ More...
void	s2let_synthesis_adjoint_px2wav_real (double *f_wav, double *f_scal, const double *f, const s2let_parameters_t *parameters)
	~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ More...

Function Documentation

s2let_synthesis_adjoint_lm2lmn()

void s2let_synthesis_adjoint_lm2lmn	(	S2LET_COMPLEX(double) *	f_wav_lmn,
		S2LET_COMPLEX(double) *	f_scal_lm,
		const S2LET_COMPLEX(double) *	flm,
		const S2LET_COMPLEX(double) *	wav_lm,
		const double *	scal_l,
		const s2let_parameters_t *	parameters
	)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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

Parameters

[out]	f_wav_lmn	Wavelet transform (Wigner coefficients of wavelet contribution).
[out]	f_scal_lm	Wavelet transform (Spherical harmonic coefficients of scaling contribution).
[in]	flm	Spherical harmonic coefficients of input function.
[in]	wav_lm	Wavelet kernels in harmonic space.
[in]	scal_l	Scaling function kernels in harmonic space.
[in]	parameters	A fully populated parameters object. The reality flag is ignored. Use s2let_analysis_lm2lmn_real instead for real signals.

Return values

none

s2let_synthesis_adjoint_lm2lmn_real()

void s2let_synthesis_adjoint_lm2lmn_real	(	S2LET_COMPLEX(double) *	f_wav_lmn,
		S2LET_COMPLEX(double) *	f_scal_lm,
		const S2LET_COMPLEX(double) *	flm,
		const S2LET_COMPLEX(double) *	wav_lm,
		const double *	scal_l,
		const s2let_parameters_t *	parameters
	)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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

Parameters

[out]	f_wav_lmn	Wavelet transform (Wigner coefficients of wavelet contribution).
[out]	f_scal_lm	Wavelet transform (spherical harmonic coefficients of scaling contribution).
[in]	flm	Spherical harmonic coefficients of input function.
[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_analysis_lm2lmn instead for complex signals.

Return values

none

s2let_synthesis_adjoint_lm2wav()

void s2let_synthesis_adjoint_lm2wav	(	S2LET_COMPLEX(double) *	f_wav,
		S2LET_COMPLEX(double) *	f_scal,
		const S2LET_COMPLEX(double) *	flm,
		const s2let_parameters_t *	parameters
	)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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

Parameters

[out]	f_wav	Array of wavelet maps
[out]	f_scal	Scaling function map
[in]	flm	Spherical harmonic coefficients of the signal
[in]	parameters	A fully populated parameters object. The reality flag is ignored. Use s2let_analysis_lm2wav_real instead for real signals.

Return values

none

s2let_synthesis_adjoint_lm2wav_manual()

void s2let_synthesis_adjoint_lm2wav_manual	(	S2LET_COMPLEX(double) *	f_wav,
		S2LET_COMPLEX(double) *	f_scal,
		const S2LET_COMPLEX(double) *	flm,
		const double *	scal_l,
		const S2LET_COMPLEX(double) *	wav_lm,
		const int	scal_bandlimit,
		const int *	wav_bandlimits,
		int	J,
		int	L,
		int	spin,
		int	N
	)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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

Parameters

[out]	f_wav	Array of wavelet maps
[out]	f_scal	Scaling function map
[in]	flm	Spherical harmonic coefficients of the signal
[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_adjoint_lm2wav_real()

void s2let_synthesis_adjoint_lm2wav_real	(	double *	f_wav,
		double *	f_scal,
		const S2LET_COMPLEX(double) *	flm,
		const s2let_parameters_t *	parameters
	)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Wavelet synthesis_adjoint from harmonic space to wavlet space for real signals.

Parameters

[out]	f_wav	Array of wavelet maps
[out]	f_scal	Scaling function map
[in]	flm	Spherical harmonic coefficients of the signal
[in]	parameters	A fully populated parameters object. The reality flag is ignored. Use s2let_analysis_lm2wav instead for complex signals.

Return values

none

s2let_synthesis_adjoint_px2wav()

void s2let_synthesis_adjoint_px2wav	(	S2LET_COMPLEX(double) *	f_wav,
		S2LET_COMPLEX(double) *	f_scal,
		const S2LET_COMPLEX(double) *	f,
		const s2let_parameters_t *	parameters
	)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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

Parameters

[out]	f_wav	Array of wavelet maps
[out]	f_scal	Scaling function map
[in]	f	Signal on the sphere
[in]	parameters	A fully populated parameters object. The reality flag is ignored. Use s2let_synthesis_adjoint_px2wav_real instead for real signals.

Return values

none

s2let_synthesis_adjoint_px2wav_real()

void s2let_synthesis_adjoint_px2wav_real	(	double *	f_wav,
		double *	f_scal,
		const double *	f,
		const s2let_parameters_t *	parameters
	)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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

Parameters

[out]	f_wav	Array of wavelet maps
[out]	f_scal	Scaling function map
[in]	f	Signal on the sphere
[in]	parameters	A fully populated parameters object. The reality flag is ignored. Use s2let_synthesis_adjoint_px2wav instead for complex signals.

Return values

none