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A Study on Delaunay Terminal Edge Method

Rivara, Maria-Cecilia

Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.529-542, September 17-20 2006

IMR
PROCEEDINGS

15th International Meshing Roundtable
Birmingham, Alabama, U.S.A.
September 17-20, 2006

Department of Computer Science, Universidad de Chile
mcrivara@dcc.uchile.cl

Abstract
The Delaunay terminal edge algorithm for triangulation improvement proceeds by iterative Lepp selection of a point M which is midpoint of a Delaunay terminal edge in the mesh. The longest edge bisection of the associated terminal triangles (sharing the terminal edge) can be seen as a first step in the Delaunay insertion of M. The method was introduced as a generalization of non-Delaunay longest edge algorithms but formal termination proof had not been stated until now. In this paper termination is proved and several geometric aspects of the algorithm behavior are studied.

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