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Nearest-Neighbor Search Under Uncertainty

par Aronov, Boris B.;Iacono, John ;Sheikhan, Khadijeh
Editeur scientifique Gudmundsson, Joachim;Smid, Michiel M.
Référence (July 26-28, 2017: Ottawa), Proceedings of the 29th Canadian Conference on Computational Geometry, page (89-94)
Publication Publié, 2017

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Résumé :

We study the problem of Nearest-Neighbor Searching under locational uncertainty. Here, an uncertain query or site consists of a set of points in the plane, and their distance is defined as distance between the two farthest points within them. In L∞ metric, we present an algorithm with O(nlog2 n+s) expected preprocessing time, O(nlog n) space, and O(log2 n + k) query time, where s is the total number of site points, n is the number of sites, and k is the size of the query. We also propose a √2-approximation algorithm for the L2 version of the problem