smoothed complexity of convex hulls by witnesses and collectors

smoothed complexity of convex hulls by witnesses and collectors

;Olivier Devillers;Marc Glisse;Xavier Goaoc;Rémy Thomasse
canadian journal of infectious diseases and medical microbiology 2016 Vol. 7 pp. -
166
devillers2016journalsmoothed

Abstract

We present a simple technique for analyzing the size of geometric hypergraphs defined by random point sets. As an application we obtain upper and lower bounds on the smoothed number of faces of the convex hull under Euclidean and Gaussian noise and related results.

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255255
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10.20382/jocg.v7i2a6
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