The Meccano Method for Automatic Tetrahedral Mesh Generation of Complex Genus-Zero Solids [chapter]

J. M. Cascón, R. Montenegro, J. M. Escobar, E. Rodríguez, G. Montero
2009 Proceedings of the 18th International Meshing Roundtable  
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
more » ... c 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.
doi:10.1007/978-3-642-04319-2_27 dblp:conf/imr/CasconMERM09 fatcat:urbbb5tdkzg7rkdqsjj5rvgepa