Abstract
We present an O((n+k) log(n+k)) time algorithm for computing the geodesic Voronoi diagram of k points in a simple polygon of n vertices improving upon the previously known results. The method introduces a new approach to the construction of geodesic Voronoi diagrams by combining a sweep of the polygon and the merging step of a usual divide-and-conquer strategy.
Supported in part by the National Science Foundation under the Grant CCR-9309743, and by the Office of Naval Research under the Grant No. N00014-93-1-0272.
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Papadopoulou, E., Lee, D.T. (1995). Efficient computation of the geodesic Voronoi diagram of points in a simple polygon. In: Spirakis, P. (eds) Algorithms — ESA '95. ESA 1995. Lecture Notes in Computer Science, vol 979. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60313-1_147
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DOI: https://doi.org/10.1007/3-540-60313-1_147
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