Optimal Construction of the City Voronoi Diagram

  • Sang Won Bae
  • Jae-Hoon Kim
  • Kyung-Yong Chwa
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4288)


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.


Short Path Voronoi Diagram Transportation Network Event Distance Neighbor Graph 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Sang Won Bae
    • 1
  • Jae-Hoon Kim
    • 2
  • Kyung-Yong Chwa
    • 1
  1. 1.Div. of Computer Science, Dept. of EECSKorea Advanced Institute of Science and TechnologyDaejeonKorea
  2. 2.Div. of Computer EngineeringPusan University of Foreign StudiesBusanKorea

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