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Constructing the Voronoi diagram of a set of line segments in parallel

Preliminary version
  • Michael T. Goodrich
  • Colm Ó'Dúnlaing
  • Chee K. Yap
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 382)

Abstract

In this paper we give a parallel algorithm for constructing the Voronoi diagram of a polygonal scene, i.e., a set of line segments in the plane such that no two segments intersect except possibly at their endpoints. Our algorithm runs in O(log2n) time using O(n) processors in the CREW PRAM model.

Keywords

Line Segment Parallel Algorithm Voronoi Diagram Computational Geometry Medial Axis 
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 1989

Authors and Affiliations

  • Michael T. Goodrich
    • 1
  • Colm Ó'Dúnlaing
    • 2
  • Chee K. Yap
    • 3
  1. 1.Dept. of Computer ScienceJohns Hopkins Univ.Baltimore
  2. 2.School of MathematicsUniv. of DublinDublin 2Irish Republic
  3. 3.Courant InstituteNew York Univ.New York

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