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Back to edge flips in 3 dimensions

George, Paul Louis and Houman Borouchaki

Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.393-402, Sept. 2003


12th International Meshing Roundtable
September 14-17, 2003
Santa Fe, New Mexico, U.S.A.

INRIA, Projet Gamma, Domaine de Voluceau, BP 105, 78153 Le Chesnay cedex, France
Universite de Technologie de Troyes, GSM-LASMIS BP 2060, 10010 Toyes cedex, France

We return to the general edge flip in three dimensions. We demonstrate it is nothing other than a combination of elementary flips. Various properties of this operator are discussed, including conditions that make a flip possible (thus making a set of tets sharing an edge reducible). We discuss also about the existence of other edge based operators and a number of applications are envisaged including an exotic use of some degree of anisotropy.

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