Voronoi diagram of 3D spheres: theory and applications
نویسندگان
چکیده
Voronoi diagrams have several important applications in science and engineering. While the properties and algorithms for the ordinary Voronoi diagram of point set have been well-known, their counterparts for a set of spheres have not been sufficiently studied. In this paper, we present the definition, properties and algorithms for the Voronoi diagram of 3D spheres based on the Euclidean distance from the surface of spheres. Then, we show how such a Voronoi diagram can be used for solving various important geometric problems in biological systems.
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