STACS 1988: STACS 88 pp 312-321

# 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)

## Abstract

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.

## Keywords

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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