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A Novel Type of Skeleton for Polygons

  • Oswin Aichholzer
  • Franz Aurenhammer
  • David Alberts
  • Bernd Gärtner

Abstract

A new internal structure for simple polygons, the straight skeleton, is introduced and discussed. It is composed of pieces of angular bisectores which partition the interior of a given n-gon P in a tree-like fashion into n monotone polygons. Its straight-line structure and its lower combinatorial complexity may make the straight skeleton preferable to the widely used medial axis of a polygon. As a seemingly unrelated application, the straight skeleton provides a canonical way of constructing a polygonal roof above a general layout of ground walls.

Keywords

Simple polygon angular bisectors internal skeleton roof construction 

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References

  1. [A]
    F. Aurenhammer, Voronoi diagrams - a survey of a fundamental geometric data structure, ACM Computing Surveys 23, 3 (1991), 345–405.CrossRefGoogle Scholar
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    D.T. Lee, Medial axis transformation of a planar shape, IEEE Trans. Pattern Analysis and Machine Intelligence, PAMI-4 (1982), 363–369.Google Scholar
  3. [K]
    D.G. Kirkpatrick, Efficient computation of continuous skeletons, Proc. 20th Ann. IEEE Symp. FOCS (1979), 18–27.Google Scholar

Copyright information

© Springer Pub. Co. 1996

Authors and Affiliations

  • Oswin Aichholzer
    • 1
  • Franz Aurenhammer
    • 1
  • David Alberts
    • 2
  • Bernd Gärtner
    • 2
  1. 1.Institute for Theoretical Computer ScienceGraz University of TechnologyGrazAustria
  2. 2.Institut für InformatikFreie Universität BerlinBerlinGermany

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