Topological Analysis of High-Resolution CMB Maps

1998/03/27 by B. D. Wandelt, Benjamin D. Wandelt, E. Hivon +5
Computer Science · Physics and Astronomy · #Advanced Vision and Imaging #Digital Image Processing Techniques #Topological and Geometric Data Analysis #astro-ph

paper · pdf · doi:10.48550/arxiv.astro-ph/9803317

Typo corrected. 4 pages, 3 figures. To appear in "Fundamental Parameters in Cosmology", proceedings of the XXXIIIrd Rencontres de Moriond, Tran Thanh Van (ed.). Also available with full size and full colour figures at http://www.tac.dk/~wandelt/downloads.html

Abstract

We report the development of numerical tools for the topological analysis of sub--degree resolution, all--sky maps. Software to be released in the HEALFAST (V0.9) package defines neighbour relationships for the HEALPIX tessellation of the sphere. We apply this routine to a fast extrema search which scales strictly linearly in the number of pixels, N_p. We also present a highly efficient algorithm for simulating the gradient vector and curvature tensor fields ``on--the--fly'' with the temperature map, needing only of order N_p log₂ N_p more operations.

Related

• The HEALPix Primer
• Fast Clustering Analysis of Inhomogeneous Megapixel CMB maps
• Exactly Azimuthal Pixelizations of the Sky
• Fast CMB Analyses via Correlation Functions
• Probing Cosmic topology using CMB anisotropy