A direct method for the automatic discretization of 3D parametric curves

✍ Scribed by JC Cuillière

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 985 KB
• Volume: 29
• Category: Article
• ISSN: 0010-4485
• DOI: 10.1016/s0010-4485(97)00006-7

✦ Synopsis

We have developed an automatic mesh generation system featuring an automatic and a priori refinement process based on feature recognition techniques and advancing front methods. A crucial step in the overall method consists in discretizing the edges and surfaces of the input B-Rep structure with the ability to respect as closely as possible a nodal spacing function across the parts that are most interesting for analysis or representation purposes. The work presented here focuses on the discretization of threedimensional parametric curves with strong variations of curvature with respect to a nodal spacing function having steep gradients. This algorithm is particularly suitable for FE mesh generation purposes but also for many engineering applications for which a 3D model has to be triangulated. We will tackle, in this context, the use of the technique in order to mesh parametric curves with a specified discretization tolerance. 0 1997 Elsevier Science Ltd.