An optimal real-time algorithm for planar convex hulls

  • Authors:
  • F. P. Preparata

  • Affiliations:
  • Univ. of Illinois, Urbana

  • Venue:
  • Communications of the ACM
  • Year:
  • 1979

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Abstract

An algorithm is described for the construction in real-time of the convex hull of a set of n points in the plane. Using an appropriate data structure, the algorithm constructs the convex hull by successive updates, each taking time O(log n), thereby achieving a total processing time O(n log n).