Skip to main content

Straight skeletons for general polygonal figures in the plane

  • Session 3
  • Conference paper
  • First Online:
Computing and Combinatorics (COCOON 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1090))

Included in the following conference series:

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. O. Aichholzer, D. Alberts, F. Aurenhammer, and B. Gärtner, A novel type of skeleton for polygons, J. Universal Comput. Sci. 1 (1995), 752–761.

    Google Scholar 

  2. F. Aurenhammer, Voronoi diagrams — a survey of a fundamental geometric data structure, ACM Computing Surveys 23, 3 (1991), 345–405.

    Article  Google Scholar 

  3. F. Aurenhammer and R. Klein, Voronoi Diagrams, in: J.R. Sack and G. Urrutia (eds.), Handbook on Computational Geometry, Elsevier, to appear.

    Google Scholar 

  4. J. Canny and B. Donald, Simplified Voronoi diagrams, Discrete & Computational Geometry 3 (1988), 219–236.

    Google Scholar 

  5. H. Edelsbrunner and R. Seidel, Voronoi diagrams and arrangements, Discrete & Computational Geometry 1 (1986), 25–44.

    Google Scholar 

  6. C. Gold, personal communication, 1995.

    Google Scholar 

  7. T.C. Kao and D.M. Mount, An aJgorithm for computing compacted Voronoi diagrams defined by convex distance functions, Proc. 3rd Canadian Conf. Computational Geometry (1991), 104–109.

    Google Scholar 

  8. D.G. Kirkpatrick, Efficient computation of continuous skeletons, Proc. 20th Ann. IEEE Symp. FOCS (1979), 18–27.

    Google Scholar 

  9. R. Klein, Concrete and Abstract Voronoi diagrams, Springer LNCS 400 (1989).

    Google Scholar 

  10. D.T. Lee, Medial axis transformation of a planar shape, IEEE Trans. Pattern Analysis and Machine Intelligence, PAMI-4 (1982), 363–369.

    Google Scholar 

  11. D.T. Lee and R.L. Drysdale, Generalization of Voronoi diagrams in the plane, SIAM J. Computing 10 (1981), 73–87.

    Google Scholar 

  12. M. McAllister, D.G. Kirkpatrick, and J. Snoeyink, A compact piecewise-linear Voronoi diagram for convex sites in the plane, Discrete & Computational Geometry 15 (1996), 73–105.

    Google Scholar 

  13. J.L. Pfaltz and A. Rosenfeld, Computer representation of planar regions by their skeletons, Comm. ACM 10, 2 (1967), 119–25.

    Google Scholar 

  14. C.-K. Yap, An O(n log n) algorithm for the Voronoi diagram of a set of simple curve segments, Discrete & Computational Geometry 2 (1988), 365–393.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Jin-Yi Cai Chak Kuen Wong

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Aichholzer, O., Aurenhammer, F. (1996). Straight skeletons for general polygonal figures in the plane. In: Cai, JY., Wong, C.K. (eds) Computing and Combinatorics. COCOON 1996. Lecture Notes in Computer Science, vol 1090. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61332-3_144

Download citation

  • DOI: https://doi.org/10.1007/3-540-61332-3_144

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61332-9

  • Online ISBN: 978-3-540-68461-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics