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European Symposium on Algorithms

ESA 2002: Algorithms — ESA 2002 pp 387–398Cite as

Approximating the Medial Axis from the Voronoi Diagram with a Convergence Guarantee

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2461))

Abstract

We show that the medial axis ofa surface S ⊂ ℝ3 can be approximated as a subcomplex oft he Voronoi diagram of a point sample of S. The subcomplex converges to the true medial axis as the sampling density approaches infinity. Moreover, the subcomplex can be computed in a scale and density independent manner. Experimental results as detailed in a companion paper corroborate our theoretical claims.

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Author information

Authors and Affiliations

  1. Ohio State University, 43210, Columbus, OH, USA

    Tamal K. Dey & Wulue Zhao

Authors
  1. Tamal K. Dey
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  2. Wulue Zhao
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Editor information

Editors and Affiliations

  1. Fakultät II: Mathematik und Naturwissenschaften, Technische Universität Berlin, Strasse des 17. Juni 136, 10623, Berlin, Germany

    Rolf Möhring

  2. Department of Mathematics and Computer Science, University of Leicester, University Road, LE1 7RH, Leicester, UK

    Rajeev Raman

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© 2002 Springer-Verlag Berlin Heidelberg

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Dey, T.K., Zhao, W. (2002). Approximating the Medial Axis from the Voronoi Diagram with a Convergence Guarantee. In: Möhring, R., Raman, R. (eds) Algorithms — ESA 2002. ESA 2002. Lecture Notes in Computer Science, vol 2461. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45749-6_36

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  • DOI: https://doi.org/10.1007/3-540-45749-6_36

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44180-9

  • Online ISBN: 978-3-540-45749-7

  • eBook Packages: Springer Book Archive

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