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International Symposium on Algorithms and Computation

ISAAC 2006: Algorithms and Computation pp 183–192Cite as

Optimal Construction of the City Voronoi Diagram

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4288))

Abstract

We address proximity problems in the presence of roads on the L 1 plane. More specifically, we present the first optimal algorithm for constructing the city Voronoi diagram. We apply the continuous Dijkstra paradigm to obtain an optimal algorithm for building a shortest path map for a given source, and then it extends to that for the city Voronoi diagram. Moreover, the algorithm applies to other generalized situations including metric spaces induced by roads and obstacles together.

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References

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Author information

Authors and Affiliations

  1. Div. of Computer Science, Dept. of EECS, Korea Advanced Institute of Science and Technology, Daejeon, Korea

    Sang Won Bae & Kyung-Yong Chwa

  2. Div. of Computer Engineering, Pusan University of Foreign Studies, Busan, Korea

    Jae-Hoon Kim

Authors
  1. Sang Won Bae
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  2. Jae-Hoon Kim
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  3. Kyung-Yong Chwa
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Editor information

Editors and Affiliations

  1. Japan Advanced Institute of Science and Technology, Japan

    Tetsuo Asano

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© 2006 Springer-Verlag Berlin Heidelberg

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Bae, S.W., Kim, JH., Chwa, KY. (2006). Optimal Construction of the City Voronoi Diagram. In: Asano, T. (eds) Algorithms and Computation. ISAAC 2006. Lecture Notes in Computer Science, vol 4288. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11940128_20

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  • DOI: https://doi.org/10.1007/11940128_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-49694-6

  • Online ISBN: 978-3-540-49696-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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