Hexahedral Mesh Generation Using Isoparametric Smoothing
by
T. S. Li
School of Science and Technology, the Open University of Hong Kong

This paper presents a method of generating hexahedral mesh for a 3D object. Firstly, the object is subdivided into a collection of simply connected regions. This can be guided by using the medial surface [1] of the object. The geometry of the 3D object would affect the topology of the corresponding medial surface. Therefore, by checking the topology of the medial surface, we can obtain information regarding the geometry of the 3D object. The object can then be cut to remove holes or voids of the object. After getting a set of simply connected regions, then the regular meshes of elements are generated using mid-point subdivision. These elements would be smoothed by using isoparametric smoothing technique. In addition, we can check if there are elements that are highly distorted or invalid. The process of generating regular meshes of elements repeats until the elements are acceptable. [1] D. Sheehy, "Medial surface computation using a domain Delaunay triangulation", PhD Thesis, Department of Mechanical and Manufacturing Engineering, the Queen's University of Belfast.

Date received: March 31, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cald-08.