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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