English

Topological Analysis of High-Resolution CMB Maps

Astrophysics 2007-05-23 v2

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, NpN_{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 Nplog2NpN_{p} \log_2 N_{p} more operations.

Keywords

Cite

@article{arxiv.astro-ph/9803317,
  title  = {Topological Analysis of High-Resolution CMB Maps},
  author = {Benjamin D. Wandelt and Eric Hivon and Kris M. Gorski},
  journal= {arXiv preprint arXiv:astro-ph/9803317},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T09:39:12.838Z