Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/16472
Title: The meccano method for automatic 3-d triangulation and volume parametrization of complex solids
Authors: Montenegro Armas, Rafael 
Cascón Barbero, José Manuel
Rodríguez, Eduardo 
Escobar Sánchez, José María 
Montero García, Gustavo 
UNESCO Clasification: 120613 Ecuaciones diferenciales en derivadas parciales
1206 Análisis numérico
120601 Construcción de algoritmos
120602 Ecuaciones diferenciales
120607 Interpolación, aproximación y ajuste de curvas
120608 Métodos interactivos
120610 Matrices
120609 Ecuaciones lineales
Keywords: Tetrahedral mesh generation
Adaptive refinement/derefinement
Nested meshes
Mesh smoothing
Mesh untangling
Surface and volume parametrization.
Issue Date: 2010
Abstract: In this paper we review the novel meccano method. We summarize the main stages (subdivision, mapping, optimization) of this automatic tetrahedral mesh generation technique and we concentrate the study to complex genus-zero solids. In this case, our procedure only requires a surface triangulation of the solid. A crucial consequence of our method is the volume parametrization of the solid to a cube. We construct volume T-meshes for isogeometric analysis by using this result. The efficiency of the proposed technique is shown with several examples. A comparison between the meccano method and standard mesh generation techniques is introduced.-1…
URI: http://hdl.handle.net/10553/16472
ISBN: 978-1-874672-48-7
Source: "Developments and Applications in Engineering Computational Technology. -- Stirling, Scotland : Saxe-Coburg Publications, 2010. -- (Computational Science, Engineering and Technology, ISSN 1759-3158; v. 26). -- ISBN 978-1-874672-48-7"
Rights: by-nc-nd
Appears in Collections:Capítulo de libro
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