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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

IMR
PROCEEDINGS

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
casbar@usal.es
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
{rmontenegro,jmescobar,erodriguez,gmontero}@siani.es
http://www.dca.iusiani.ulpgc.es/proyecto2008-2011

Abstract
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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