An optimal algorithm for detecting weak visibility of a polygon

Preliminary version
  • Jörg-R. Sack
  • Subhash Suri
Contributed Papers Geometrical Algorithms
Part of the Lecture Notes in Computer Science book series (LNCS, volume 294)


In 1981, Avis and Toussaint gave a linear-time algorithm for the following problem: Given a simple n-vertex polygon P and an edge of P, determine whether each point in P can be seen by some (not necessarily the same) point on the edge. They posed the more general problem of finding a sub-quadratic algorithm for determining whether such an edge exists. In this paper, we present a linear-time algorithm for determining all (if any) such edges of a given simple polygon.


Linear Time Relative Interior Simple Polygon Visibility Edge Proper Edge 
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 1988

Authors and Affiliations

  • Jörg-R. Sack
    • 1
  • Subhash Suri
    • 2
  1. 1.School of Computer ScienceCarleton UniversityOttawaCanada
  2. 2.Bell Communications ResearchMorristownUSA

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