Title :
Generating well behaved meshes for parameterized surfaces
Author :
Randrianarivony, Maharavo ; Brunnett, Guido
Author_Institution :
Fac. of Comput. Sci., Tech. Univ. of Chemnitz, Germany
Abstract :
This paper gives first a survey of parametric representations that are often used in computer-aided geometric design. These include B-spline, NURBS, tabulated cylinder, trimmed surface and surface of revolution. Secondly, the paper deals with applications in surface mesh generation. The parameter domain is triangulated using Delaunay-Voronoi meshing and the spatial mesh is refined according to the error provided by the parametric function itself. We need also to merge the resulting meshes so as to obtain a single mesh of the whole model. The IGES format is used to illustrate CAD (computer-aided design) geometric storage. Some corroborative benchmarks from mechanically interesting objects will be equally provided.
Keywords :
CAD; computer graphics; mesh generation; B-spline; CAD; Delaunay-Voronoi meshing; IGES format; NURBS; computer-aided design; computer-aided geometric design; geometric storage; mesh merging; parameter domain triangulation; parameterized surface; parametric function; revolution surface; spatial mesh refinement; surface mesh generation; tabulated cylinder; trimmed surface; well behaved mesh; Application software; Computer errors; Computer science; Graphics; Mesh generation; Solid modeling; Spline; Surface reconstruction; Surface topography; Tensile stress;
Conference_Titel :
Geometric Modeling and Graphics, 2003. Proceedings. 2003 International Conference on
Print_ISBN :
0-7695-1985-7
DOI :
10.1109/GMAG.2003.1219666