“…For denoising and deconvolution, wavelets have also demonstrated how powerful they are for discriminating signal from noise (Starck et al, 2002b). In cosmology, wavelets have been used in many studies such as for analyzing the spatial distribution of galaxies (Slezak et al, 1993;Escalera and MacGillivray, 1995;Starck et al, 2005a;Martinez et al, 2005), determining the topology of the universe (Rocha et al, 2004), detecting non-Gaussianity in the CMB maps (Aghanim and Forni, 1999;Barreiro et al, 2001;Vielva et al, 2004;Starck et al, 2004), reconstructing the primordial power spectrum (Mukherjee and Wang, 2003), measuring the galaxy power spectrum (Fang and Feng, 2000) or reconstructing weak lensing mass maps (Starck et al, 2005b). It has also been shown that noise is a problem of major concern for N-body simulations of structure formation in the early Universe and that using wavelets to remove noise from N-body simulations is equivalent to simulations with two orders of magnitude more particles (Romeo et al, 2003(Romeo et al, , 2004.…”