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The Meccano Method forAutomatic Tetrahedral Mesh Generation ofComplex Genus-Zero Solids

Cascon, J.M., R. Montenegro, J.M. Escobar, E. Rodriguez,and G. Montero

Proceedings, 18th International Meshing Roundtable, Springer-Verlag, pp.463-480, October 25-28 2009


18th International Meshing Roundtable
Salt Lake City, UT, USA.
October 25-28, 2009

Department of Economics and Economic History, Faculty of Economics and
Management, University of Salamanca, Spain
Institute for Intelligent Systems and Numerical Applications in Engineering,
University of Las Palmas de Gran Canaria, Campus Universitario de Tafira,
Las Palmas de Gran Canaria, Spain

In this paper we introduce an automatic tetrahedral mesh generator for complex genus-zero solids, based on the novel meccano technique. Our method only demands a surface triangulation of the solid, and a coarse approximation of the solid, called meccano, that is just a cube in this case. The procedure builds a 3-D triangulation of the solid as a deformation of an appropriate tetrahedral mesh of the meccano. For this purpose, the method combines several procedures: an automatic mapping from the meccano boundary to the solid surface, a 3-D local refinement algorithm and a simultaneous mesh untangling and smoothing. A volume parametrization of the genus-zero solid to a cube (meccano) is a direct consequence. The efficiency of the proposed technique is shown with several applications.

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