Path: utzoo!utgpu!jarvis.csri.toronto.edu!cs.utexas.edu!tut.cis.ohio-state.edu!ucbvax!agate!eos!glenn From: glenn@eos.UUCP (Glenn Meyer) Newsgroups: comp.graphics Subject: Re: Convex hulls Keywords: How do you calculate the convex hull in 3d? Message-ID: <5782@eos.UUCP> Date: 7 Dec 89 03:33:27 GMT References: <1989Dec5.220421.10486@eplrx7.uucp> Organization: NASA Ames Research Center, California Lines: 25 ward@eplrx7.uucp (Rick Ward) writes: >Does anyone have any references or, even better, source code on how to >calculate the convex hull of a set of points in three dimensions? I >have seen the paper by DCS Allison and MT Noga on how to calculate the >convex hull in two dimensions, but a three dimensional solution doesn't >come readily to mind. "Computational Geometry: An Introduction," by Franco P. Preparata and Michael Ian Shamos (New York: Springer-Verlag, 1985) devotes about 90 pages to the solution and applications of convex hull algortihms. The book discusses an order NlogN algorithm, where N is the number of points in 3D space, and also describes an algorithm that approximates the convex hull. Glenn Meyer glenn@eos.arc.nasa.gov glenn%carma@ames.arc.nasa.gov -- Glenn Meyer (glenn%carma@{io,aurora,eos,pioneer}.arc.nasa.gov) CARMA/Sterling Software NASA-Ames, M.S. 233-14, Moffett Field, Ca. 94035 Office telephone # 415-694-4804