Edgewise Subdivision of a Simplex |
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| Authors: | H Edelsbrunner D R Grayson |
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| Institution: | (1) Department of Computer Science, Duke University, Durham, NC 27708, USA and Raindrop Geomagic, Research, Triangle Park, NC 27709, USA , US;(2) Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA, US |
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| Abstract: | In this paper we introduce the abacus model of a simplex and use it to subdivide a d -simplex into k
d
d -simplices all of the same volume and shape characteristics. The construction is an extension of the subdivision method of
Freudenthal 3] and has been used by Goodman and Peters 4] to design smooth manifolds.
Received June 24, 1999, and in revised form January 13, 2000. Online publication August\/ 11, 2000. |
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