Article View: comp.theory
Article #2130Re: Smallest circle around n points in space.
From: Mark B. Novick
Date: Wed, 14 Mar 1990 21:15
Date: Wed, 14 Mar 1990 21:15
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981 bytes
If you are concerned with the 2-d case, take a look at Preparata and Shamos' book Computational Geometry. They call the problem the smallest enclosing circle problem, and give efficient algorithms to solve it. Some of them are based on Voronoi diagram techniques. The asymptotically fastest algorithm they give runs in theta(n) time, where n is the number of points.
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arc1-ca.pugleaf.net!utzoo!utgpu!news-server.csri.toronto.edu!cs.utexas.edu!swrinde!zaphod.mps.ohio-state.edu!rpi!batcomputer!cornell!novickReferences:
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Path: arc1-ca.pugleaf.net!utzoo!utgpu!news-server.csri.toronto.edu!cs.utexas.edu!swrinde!zaphod.mps.ohio-state.edu!rpi!batcomputer!cornell!novick From: novick@svax.cs.cornell.edu (Mark B. Novick) Newsgroups: comp.theory,comp.sources.wanted,sci.math,sci.math.num-analysis Subject: Re: Smallest circle around n points in space. Keywords: circle, distance, math, algorithms Message-ID: <38647@cornell.UUCP> Date: 14 Mar 90 21:15:28 GMT References: <3078@soleil.oakhill.UUCP> Sender: nobody@cornell.UUCP Reply-To: novick@svax.cs.cornell.edu (Mark B. Novick) Organization: Cornell Univ. CS Dept, Ithaca NY Lines: 7