Topological Analysis of High-Resolution CMB Maps (original) (raw)
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}Np. 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}Nplog2Np more operations.
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