Topological Analysis of High-Resolution CMB Maps

Details Topological Analysis of High-Resolution CMB Maps Topological Analysis of High-Resolution CMB Maps

1998-03-27

arxiv.org/abs/astro-ph/9803317v2

Astronomy and Astrophysics

Astrophysics

Typo corrected. 4 pages, 3 figures. To appear in "Fundamental Parameters in Cosmology", proceedings of the XXXIIIrd Rencontres

Scientific paper

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 $N_{p} \log_2 N_{p}$ more operations.

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