lenspack.starlet_l1norm module¶

STARLET L1-NORM MODULE

This module contains functions for computing the starlet l1norm as defined in Eq. (1) of https://arxiv.org/pdf/2101.01542.pdf.

lenspack.starlet_l1norm.noise_coeff(image, nscales)[source]¶

Compute the noise coefficients \(\sigma^{e}_{j}\): to get the estimate of the noise at the scale j following Starck and Murtagh (1998).

Parameters

image (array_like) – Two-dimensional input image.
nscales (int) – Number of wavelet scales to compute. Should not exceed log2(N), where N is the smaller of the two input dimensions.

Returns

coeff_j – Values of the standard deviation of the noise at scale j

Return type

numpy.ndarray

lenspack.starlet_l1norm.get_l1norm_noisy(image, noise, nscales, nbins)[source]¶

Compute the starlet \(\ell_1\)-norm of a noisy image: following Eq. (1) of https://arxiv.org/abs/2101.01542.

Parameters

image (array_like) – Two-dimensional input noiseless image.
noise (array_like) – Two-dimensional input of the noise to be added to image
nscales (int) – Number of wavelet scales to compute. Should not exceed log2(N), where N is the smaller of the two input dimensions.
nbins (int) – Number of bins in S/N desired for the summary statistic

Returns