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A linear time algorithm for computing the shortest line segment from which a polygon is weakly externally visible

  • Binary K. Bhattacharya
  • Asish Mukhopadhyay
  • Godfried T. Toussaint
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 519)

Abstract

A simple polygon P is said to be weakly externally visible from a line segment if the line segment is outside P and if for every point x on the boundary of P there is a point y on the line segment such that the interior of the line segment xy does not intersect the interior of P. In this paper a linear time algorithm is proposed for computing the shortest line segment from which a simple polygon is weakly externally visible. This is done by a suitable generalization of a linear time algorithm which solves the same problem for a convex polygon.

Keywords

Line Segment Convex Hull Convex Polygon Linear Time Algorithm Simple Polygon 
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 1991

Authors and Affiliations

  • Binary K. Bhattacharya
    • 1
  • Asish Mukhopadhyay
    • 2
  • Godfried T. Toussaint
    • 3
  1. 1.School of Computing ScienceSimon Fraser UniversityBurnabyCanada
  2. 2.Department of Computer ScienceIndian Institute of TechnologyKanpurIndia
  3. 3.School of Computer ScienceMcGill UniversityMontrealCanada

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