Identificador persistente para citar o vincular este elemento: http://hdl.handle.net/10553/116803
Título: An algebraic method for the optimization of surface triangulations
Autores/as: Escobar Sánchez, José M 
Montenegro Armas, Rafael 
Montero García, Gustavo 
Rodríguez Barrera, Eduardo Miguel 
Clasificación UNESCO: 1203 Ciencia de los ordenadores
Palabras clave: Surface triangulations
Fecha de publicación: 2005
Conferencia: II Seminario de Geometría Computacional y Gráficos en la Ingeniería
Resumen: 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 a certain objective function. This objective function is derived from algebraic quality measures of the local mesh (the set of triangles connected to the adjustable or free node). If we allow the free node to move on the surface without imposing any restriction, only guided by the improvement of the quality, the optimization procedure can construct a high-quality local mesh, but with this node in an unacceptable position. To avoid this problem 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
URI: http://hdl.handle.net/10553/116803
Colección:Actas de congresos
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