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Title: The meccano method for automatic tetrahedral mesh generation of complex genus-zero solids
Authors: Cascón, J. M.
Montenegro, R. 
Escobar, J. M. 
Rodriguez, E. 
Montero, G. 
UNESCO Clasification: 12 Matemáticas
Keywords: Tetrahedral mesh generation
Local refinement
Nested meshes
Mesh untangling and smoothing
Surface and volume parametrization
Issue Date: 2009
Project: Modelos Numéricos Predictores Para la Gestión Medioambiental. 
Conference: 18th International Meshing Roundtable (IMR) 
18th International Meshing Roundtable, IMR 2009 
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.
ISBN: 978-3-642-04318-5
DOI: 10.1007/978-3-642-04319-2_27
Source: Clark B.W. (eds) Proceedings of the 18th International Meshing Roundtable. Springer, Berlin, Heidelberg
Appears in Collections:Actas de congresos
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