Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/45244
Title: Mesh smoothing for triangulations defined on surfaces
Authors: Escobar, J. M. 
Montenegro, R. 
Montero, G. 
Rodríguez, E. 
Issue Date: 2005
Journal: Proceedings of the 10th International Conference on Civil, Structural and Environmental Engineering Computing, Civil-Comp 2005
Conference: 10th International Conference on Civil, Structural and Environmental Engineering Computing, Civil-Comp 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. Several examples and applications presented in this work show how this technique is capable to improve the quality of triangular surface meshes. © 2005 Civil-Comp Press.
URI: http://hdl.handle.net/10553/45244
ISBN: 1905088000
9781905088003
Source: Proceedings of the 10th International Conference on Civil, Structural and Environmental Engineering Computing, Civil-Comp 2005
Appears in Collections:Actas de congresos
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