Voronoi diagrams for polygon-offset distance functions

  • Gill Barequet
  • Matthew T. Dickerson
  • Michael T. Goodrich
Session 7AB: Invited Lecture
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1272)


In this paper we develop the concept of a polygon-offset distance function and show how to compute the respective nearest- and furthest-site Voronoi diagrams of point sites in the plane. We provide optimal deterministic O(n(log n + log m) + m)-time algorithms, where n is the number of points and m is the complexity of the underlying polygon, for computing compact representations of both diagrams.


Voronoi diagrams medial axis distance function offset convexity geometric tolerancing 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Gill Barequet
    • 1
  • Matthew T. Dickerson
    • 2
  • Michael T. Goodrich
    • 1
  1. 1.Center for Geometric Computing, Dept. of Computer ScienceJohns Hopkins UniversityBaltimore
  2. 2.Department of Mathematics and Computer ScienceMiddlebury CollegeMiddlebury

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