Automatic Generation of Finite Element Meshes on Poorly Parameterized Surfaces

Abstract

The NURBS surfaces are widely employed for exchanging geometric models between different CAD/CAE systems. However if the input surfaces are poorly parameterized, most surface meshing algorithms may fail or the constructed meshes can be ill-conditioned. In this paper presents a new method is presented that can generate well conditioned meshes even on poorly parameterized surfaces by regenerating NURBS surfaces. To begin with, adequate points are sampled on original poorly parameterized surfaces and new surfaces are created by interpolating these points. And then, mesh generation is performed on new surfaces. With this method, models with poorly parameterized surfaces can be meshed successfully. © 2004 by CAD Solutions Company Limited.