Centroidal Apollonius diagram (Additively weighted Voronoi diagram) on the Surface of a Sphere

1851

Grey circles: Weighted generators. Blue circles: Circumcircles. White edges: Edges of the Apollonius diagram. References: 1. Gavrilova, M., & Rokne, J. (2000, March 8). Another Solution of Apollonius Tenth Problem. 2. Kim, D.-S., Kim, D., & Sugihara, K. (2001). Voronoi Diagram of a Circle Set From Voronoi Diagram of a Point Set: I. Topology. Computer Aided Geometric Design, 18(6), 541--562. doi:10.1016/S0167-8396(01)00050-4 3. Kim, D.-S., Kim, D., & Sugihara, K. (2001). Voronoi Diagram of a Circle Set From Voronoi Diagram of a Point Set: II. Geometry. Computer Aided Geometric Design, 18(6), 563--585. doi:10.1016/S0167-8396(01)00051-6

Published by: Oh-Hyun Kwon Published at: 11 years ago Category: علمی و تکنولوژی

Voronoi Apollonius Sphere Weighted Voronoi Spherical Voronoi Tessellation dideo دیدئو diagram voronoi kim set apollonius weighted دیدئو dideo circles edges sugihara circle point computer aided geometric design centroidal additively surface sphere grey generators blue circumcircles white