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Farthest-Polygon Voronoi Diagrams

Identifieur interne : 001724 ( Istex/Corpus ); précédent : 001723; suivant : 001725

Farthest-Polygon Voronoi Diagrams

Auteurs : Otfried Cheong ; Hazel Everett ; Marc Glisse ; Joachim Gudmundsson ; Samuel Hornus ; Sylvain Lazard ; Mira Lee ; Hyeon-Suk Na

Source :

RBID : ISTEX:63B6B696DA9C87DCC8A49D4DF4E297EB0AEB9E05

Abstract

Abstract: Given a family of k disjoint connected polygonal sites of total complexity n, we consider the farthest-site Voronoi diagram of these sites, where the distance to a site is the distance to a closest point on it. We show that the complexity of this diagram is O(n), and give an O(n log3 n) time algorithm to compute it.

Url:
DOI: 10.1007/978-3-540-75520-3_37

Links to Exploration step

ISTEX:63B6B696DA9C87DCC8A49D4DF4E297EB0AEB9E05

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<abstract lang="en">Abstract: Given a family of k disjoint connected polygonal sites of total complexity n, we consider the farthest-site Voronoi diagram of these sites, where the distance to a site is the distance to a closest point on it. We show that the complexity of this diagram is O(n), and give an O(n log3 n) time algorithm to compute it.</abstract>
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