Computing the rectilinear link diameter of a polygon

  • Bengt J. Nilsson
  • Sven Schuierer
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 553)


The problem of finding the diameter of a simple polygon has been studied extensively in recent years. O(n log n) time upper bounds have been given for computing the geodesic diameter and the link diameter for a polygon.

We consider the rectilinear case of this problem and give a linear time algorithm to compute the rectilinear link diameter of a simple rectilinear polygon. To our knowledge this is the first optimal algorithm for the diameter problem of non-trivial classes of polygons.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Bengt J. Nilsson
    • 1
  • Sven Schuierer
    • 1
  1. 1.Institut fur InformatikUniversität FreiburgFreiburgFed. Rep. of Germany

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