Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/45245
Title: Quality improvement of surface triangulations
Authors: Montenegro, R. 
Escobar, J. M. 
Montero, G. 
Rodriguez, E. 
UNESCO Clasification: 1203 Ciencia de los ordenadores
Issue Date: 2005
Abstract: This paper presents a new procedure to improve the quality of triangular meshes defined on surfaces. The improvement is obtained by an iterative process in which each node of the mesh is moved to a new position that minimizes certain objective function. This objective function is derived from an algebraic quality measures of the local mesh (the set of triangles connected to the adjustable or free node). The optimization is done in the parametric mesh, where the presence of barriers in the objective function maintains the free node inside the feasible region. In this way, the original problem on the surface is transformed into a two-dimensional one on the parametric space. In our case, the parametric space is a plane, chosen in terms of the local mesh, in such a way that this mesh can be optimally projected performing a valid mesh, that is, without inverted elements. In order to show the efficiency of this smoothing procedure, its application is presented.
URI: http://hdl.handle.net/10553/45245
ISBN: 978-3-540-25137-8
DOI: 10.1007/3-540-29090-7_28
WOS:000233560500028
Source: Proceedings of the 14th International Meshing Roundtable, IMR 2005, p. 469-484
Appears in Collections:Actas de Congresos

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