Path: utzoo!utgpu!jarvis.csri.toronto.edu!cs.utexas.edu!samsung!munnari.oz.au!bruce!monu1!vaxc!cen466p From: cen466p@vaxc.cc.monash.edu.au Newsgroups: comp.graphics Subject: Re: Algorithm needed for Voronoi diagram Message-ID: <13748.25b3890f@vaxc.cc.monash.edu.au> Date: 16 Jan 90 09:50:23 GMT References: <5455@udccvax1.acs.udel.EDU> Distribution: comp.graphics Organization: Computer Centre, Monash University, Australia Lines: 26 In article <5455@udccvax1.acs.udel.EDU>, vajapeyam@vax1.acs.udel.EDU (Sridhar Vajapeyam) writes: > Hi, > I need an algorithm/program to construct Voronoi diagrams/ Delaunay > triangulations in 3-D. > You can look in : Watson D.F., The Computer Journal, vol 24, No2, pp:167-172, 1981. I also have some queries. (1) Similar to Euler relationship for planar graph, is there any relationship between the number of vertices, triangles and edges when the vertices are scattered over the surface of a cylinder and on a torus? (2) Is there any standard method of triangulation on a cylindrical surface ? Any pointers is appreciated. (3) When triangulation is done on sets of points with each set is the replica of other but for an origin shift, will the triangulation repeat itself for every set (all sets are taken together for triangulation) ? I am sorry if this question is not very clear. Many TAs. Partha E-mail: cen44p@vaxc.cc.monash.edu.au