Constructing the Voronoi diagram of a set of line segments in parallel

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Abstract

In this paper we give a parallel algorithm for constructing the Voronoi diagram of a polygonal scene, i.e., a set of line segments in the plane such that no two segments intersect except possibly at their endpoints. Our algorithm runs in O(log2n) time using O(n) processors in the CREW PRAM model.

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Goodrich, M. T., Ó’Dúnlaing, C., & Yap, C. K. (1989). Constructing the Voronoi diagram of a set of line segments in parallel. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 382 LNCS, pp. 12–23). Springer Verlag. https://doi.org/10.1007/3-540-51542-9_3

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