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Annual Symposium on Theoretical Aspects of Computer Science

STACS 2002: STACS 2002 pp 238–249Cite as

A New Diagram from Disks in the Plane

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2285))

Abstract

Voronoi diagrams and (weighted) Delaunay triangulations are well known diagrams associated with a set of disks in the plane. Here we introduce a new diagram associated with a set of disks and an efficient algorithm to compute it. The new diagram is closely related to the (weighted) Delaunay diagram.

Partly supported by the IST Programme of the EU as a Shared-cost RTD (FET Open) Project under Contract No IST-2000-26473 (ECG - Effective Computational Geometry for Curves and Surfaces).

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References

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  5. J. Giesen and M. John. A Dynamical System from Disks in the Plane. Manuscript (2001)

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Author information

Authors and Affiliations

  1. Institute for Theoretical Computer Science, ETH Zürich, CH-8092, Zürich

    Joachim Giesen & Matthias John

Authors
  1. Joachim Giesen
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  2. Matthias John
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Editor information

Editors and Affiliations

  1. Institute for Computer Science, Free University of Berlin, Takustraße 9, 14195, Berlin, Germany

    Helmut Alt

  2. CNRS - I3S - INRIA Sophia Antipolis, 2004 Route des Lucioles, 06902, Sophia Antipolis, France

    Afonso Ferreira

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© 2002 Springer-Verlag Berlin Heidelberg

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Cite this paper

Giesen, J., John, M. (2002). A New Diagram from Disks in the Plane. In: Alt, H., Ferreira, A. (eds) STACS 2002. STACS 2002. Lecture Notes in Computer Science, vol 2285. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45841-7_19

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  • DOI: https://doi.org/10.1007/3-540-45841-7_19

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43283-8

  • Online ISBN: 978-3-540-45841-8

  • eBook Packages: Springer Book Archive

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