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2018 An approximation of the Voronoi diagram for a set of arcs

In this paper we introduce an algorithm for constructing approximate Voronoi diagram of a set of pairwise disjoint arcs on a plane. The arcs are represented by parametric curves. On the first step, we discretize curves using the proposed adaptive method. Then, we construct Voronoi diagram of the discretized objects and process the obtained Voronoi graph such that redundant edges and cells are removed. Finally, the edges of the processed graph are approximated by Bezier curves giving the parametric representation of the final Voronoi diagram. The total complexity of the described algorithm is O(n log n) in average.

International Conference on Advanced Technologies, Computer Engineering and Science
ICATCES

Dmytro Kotsur Vasyl Tereshchenko

322 423
Subject Area: Computer Science Broadcast Area: International Type: Oral Paper Language: English