Filter Factory

Filter generators.

Function Name	Description
filters_axisym()	Computes wavelet kernels \(\Psi^j_{\ell m}\) and scaling kernel \(\Phi_{\ell m}\) in harmonic space.
filters_directional()	Generates the harmonic coefficients for the directional tiling wavelets in harmonic space.
filters_axisym_vectorised()	Vectorised implementation of filters_directional().
filters_directional_vectorised()	Vectorised implementation of filters_directional().

Wavelet kernel functions.

Function Name	Description
tiling_integrand()	Tiling integrand for scale-discretised wavelets.
part_scaling_fn()	Computes integral used to calculate smoothly decreasing function \(k_{\lambda}\).
k_lam()	Compute function \(k_{\lambda}\) used as a wavelet generating function.

Wavelet tiling functions.

Function Name	Description
tiling_direction()	Generates the harmonic coefficients for the directionality component of the tiling functions.
spin_normalization()	Computes the normalization factor for spin-lowered wavelets, which is \(\sqrt{\frac{(l+s)!}{(l-s)!}}\).
spin_normalization_vectorised()	Vectorised version of spin_normalization().