Visibility between two edges of a simple polygon

David Avis, Teren Gum, Godfried Toussaint

Research output: Contribution to journalArticle

Abstract

One of the most recurring themes in many computer applications such as graphics automated cartography, image processing and robotics is the notion of visibility. We are concerned with the visibility between two edges of a simple n-vertex polygon. Four natural definitions of edge-to-edge visibility are proposed. There exist O(nlog n) algorithms and complicated O(nlog log n) algorithms to solve this problem partially and indirectly. A linear running time, and thus optimal algorithm is presented to determine edge-to-edge visibility under any of the four definitions. This simple, efficient, and direct algorithm without computing the triangulation of the simple polygon also identifies the visibility region if it exists.

Original languageEnglish (US)
Pages (from-to)342-357
Number of pages16
JournalThe Visual Computer
Volume2
Issue number6
DOIs
StatePublished - Dec 1 1986

Fingerprint

Visibility
triangulation
cartography
Computer applications
Triangulation
Robotics
Image processing

Keywords

  • Algorithms
  • Computational geometry
  • Convex hull
  • Geometric complexity
  • Graphics
  • Hidden line problems
  • Jordan sorting
  • Monotone polygons
  • Polygon
  • Visibility
  • Weak visibility

ASJC Scopus subject areas

  • Software
  • Education
  • Human-Computer Interaction
  • Computer Vision and Pattern Recognition
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design

Cite this

Visibility between two edges of a simple polygon. / Avis, David; Gum, Teren; Toussaint, Godfried.

In: The Visual Computer, Vol. 2, No. 6, 01.12.1986, p. 342-357.

Research output: Contribution to journalArticle

Avis, David ; Gum, Teren ; Toussaint, Godfried. / Visibility between two edges of a simple polygon. In: The Visual Computer. 1986 ; Vol. 2, No. 6. pp. 342-357.
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