This paper investigates geometric and algorithmic properties of the Voronoi diagram with a transportation network on the Euclidean plane. With a transportation network, the distance is measured as the length of the shortest (time) path. In doing so, we introduce a needle, a generalized Voronoi site. We present an O(nm2logn n + m3 log m) algorithm to compute the Voronoi diagram with a transportation network on the Euclidean plane, where n is the number of given sites and m is the complexity of the given transportation network. © Springer-Verlag 2004.
CITATION STYLE
Bae, S. W., & Chwa, K. Y. (2004). Voronoi diagrams with a transportation network on the euclidean plane. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 3341, 101–112. https://doi.org/10.1007/978-3-540-30551-4_11
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