Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/45231
Title: The meccano method for automatic volume parametrization of solids
Authors: Montenegro, R. 
Cascón, J. M.
Escobar, J. M. 
Rodríguez, E. 
Montero, G. 
UNESCO Clasification: 12 Matemáticas
Keywords: Tetrahedral mesh generation
Adaptive refinement
Nested meshes
Mesh untangling and smoothing
Surface and volume parametrization.
Issue Date: 2010
Project: Modelos Numéricos Predictores Para la Gestión Medioambiental. 
Journal: Lecture Notes in Electrical Engineering 
Conference: International Conference on Advances in Machine Learning and Systems Engineering 
Abstract: In this paper, we present significant advances of the novel meccano technique for simultaneously constructing adaptive tetrahedral meshes of 3-D complex solids and their volume parametrization. Specifically, we will consider a solid whose boundary is a surface of genus zero. In this particular case, the automatic procedure is defined by a surface triangulation of the solid, a simple meccano composed by one cube and a tolerance that fixes the desired approximation of the solid surface. The main idea is based on an automatic mapping from the cube faces to the solid surface, a 3-D local refinement algorithm and a simultaneous mesh untangling and smoothing procedure. Although the initial surface triangulation can be a poor quality mesh, the meccano technique constructs high quality surface and volume adaptive meshes. Several examples show the efficiency of the proposed technique. Future possibilities of the meccano method for meshing a complex solid, whose boundary is a surface of genus greater than zero, are commented.
URI: http://hdl.handle.net/10553/45231
ISBN: 978-90-481-9418-6
ISSN: 1876-1100
DOI: 10.1007/978-90-481-9419-3_13
Source: Ao SI., Rieger B., Amouzegar M. (eds) Machine Learning and Systems Engineering. Lecture Notes in Electrical Engineering, vol 68. Springer, Dordrecht
Appears in Collections:Actas de congresos
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