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Farthest-Polygon Voronoi Diagrams

  • Otfried Cheong
  • Hazel Everett
  • Marc Glisse
  • Joachim Gudmundsson
  • Samuel Hornus
  • Sylvain Lazard
  • Mira Lee
  • Hyeon-Suk Na
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4698)

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.

Keywords

Voronoi Diagram Medial Axis Query Point Total Complexity Voronoi Region 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Otfried Cheong
    • 1
  • Hazel Everett
    • 2
  • Marc Glisse
    • 2
  • Joachim Gudmundsson
    • 3
  • Samuel Hornus
    • 1
  • Sylvain Lazard
    • 2
  • Mira Lee
    • 1
  • Hyeon-Suk Na
    • 4
  1. 1.Dept. of Computer Science, KAIST, DaejeonKorea
  2. 2.LORIA – INRIA Lorraine, Université Nancy 2, NancyFrance
  3. 3.National ICT Australia Ltd., SydneyAustralia
  4. 4.School of Computing, Soongsil University, SeoulKorea

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