Harmonic Variation of Edge Size in Meshing CAD Geometries from IGES Format
We shall describe a mesh generation technique on a closed CAD surface composed of a few parametric surfaces. The edge size function is a fundamental entity in order to be able to apply the process of generalized Delaunay triangulation with respect to the first fundamental form. Unfortunately, the edge size function is not known a-priori in general. We describe an approach which invokes the Laplace-Beltrami operator to determine it. We will discuss theoretically the functionality of our methods. Our approach is illustrated by numerical results from the harmonicity of triangulations of some CAD objects. The IGES format is used in order to acquire the initial geometries.
KeywordsGeometric modeling IGES mesh generation CAD models edge size Delaunay
- 2.Bossen, F., Heckbert, P.: A Pliant Method for Anisotropic Mesh Generation. In: 5th International Meshing Roundtable Sandia National Laboratories, pp. 63–76 (1996)Google Scholar
- 3.Brunnett, G.: Geometric Design with Trimmed Surfaces. Computing Supplementum 10, 101–115 (1995)Google Scholar
- 8.Kolingerova, I.: Genetic Approach to Triangulations. In: 4th International Conference on Computer Graphics and Artificial Intelligence, France, pp. 11–23 (2000)Google Scholar
- 10.Randrianarivony, M.: Geometric Processing of CAD Data and Meshes as Input of Integral Equation Solvers. PhD thesis, Technische Universität Chemnitz (2006)Google Scholar