An O(N log M) Algorithm for Catalogue Crossmatching

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

Catalogue cross-matching is an inherently costly operation. Our algorithm applies filter-refine and plane sweep techniques. Pre-processing consists of a sort by declination, and the active list is a queue indexed by a binary tree. The algorithm is O(N log M) in both I/O and processor costs, with only moderate memory requirements. Empirical assessment on catalogues of up to a billion records suggests that the algorithm performs at least an order of magnitude better than the techniques in current use.

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