Skip to Main content Skip to Navigation
New interface
Journal articles

Sparse inpainting and isotropy

Abstract : Sparse inpainting techniques are gaining in popularity as a tool for cosmological data analysis, in particular for handling data which present masked regions and missing observations. We investigate here the relationship between sparse inpainting techniques using the spherical harmonic basis as a dictionary and the isotropy properties of cosmological maps, as for instance those arising from cosmic microwave background (CMB) experiments. In particular, we investigate the possibility that inpainted maps may exhibit anisotropies in the behaviour of higher-order angular polyspectra. We provide analytic computations and simulations of inpainted maps for a Gaussian isotropic model of CMB data, suggesting that the resulting angular trispectrum may exhibit small but non-negligible deviations from isotropy.
Document type :
Journal articles
Complete list of metadata
Contributor : Hal Sorbonne Université Gestionnaire Connect in order to contact the contributor
Submitted on : Tuesday, April 19, 2022 - 4:17:54 PM
Last modification on : Friday, August 5, 2022 - 11:55:13 AM

Links full text



Stephen M. Feeney, Domenico Marinucci, Jason D. Mcewen, Hiranya V. Peiris, Benjamin D. Wandelt, et al.. Sparse inpainting and isotropy. JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2014, 2014, ⟨10.1088/1475-7516/2014/01/050⟩. ⟨insu-03645747⟩



Record views