Harmonic edge size variation in meshing CAD geometries from IGES format

A mesh generation technique on a closed surface composed of a few parametric surfaces is provided. 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. The theory ensuring the functionality of our methods is described. We illustrate our approach by investigating the harmonicity of triangulations of some CAD objects coming directly from IGES files.