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Discrete & Computational Geometry

, Volume 10, Issue 4, pp 377–409 | Cite as

An optimal convex hull algorithm in any fixed dimension

  • Bernard Chazelle
Article

Abstract

We present a deterministic algorithm for computing the convex hull ofn points inE d in optimalO(n logn+n ⌞d/2⌟ ) time. Optimal solutions were previously known only in even dimension and in dimension 3. A by-product of our result is an algorithm for computing the Voronoi diagram ofn points ind-space in optimalO(n logn+n ⌜d/2⌝ ) time.

Keywords

Voronoi Diagram Discrete Comput Geom Deterministic Algorithm Relative Interior Fixed Dimension 
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 New York Inc. 1993

Authors and Affiliations

  • Bernard Chazelle
    • 1
  1. 1.Department of Computer SciencePrinceton UniversityPrincetonUSA

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