ANISOTROPIC TRIANGULATION OF PARAMETRIC SURFACES VIA CLOSE PACKING OF ELLIPSOIDS

Author:

SHIMADA KENJI1,YAMADA ATSUSHI2,ITOH TAKAYUKI2

Affiliation:

1. Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA

2. IBM Research, Tokyo Research Laboratory, 1623-14, Shimo-tsuruma, Yamato-shi, Kanagawa-ken 242-8502, Japan

Abstract

This paper describes a new computational method of fully automated anisotropic triangulation of a trimmed parametric surface. Given as input: (1) a domain geometry and (2) a 3×3 tensor field that specifies a desired anisotropic node-spacing, this new approach first packs ellipsoids closely in the domain by defining proximity-based interacting forces among the ellipsoids and finding a force-balancing configuration using dynamic simulation. The centers of the ellipsoids are then connected by anisotropic Delaunay triangulation for a complete mesh topology. Since a specified tensor field controls the directions and the lengths of the ellipsoids' principal axes, the method generates a graded anisotropic mesh whose elements conform precisely to the given tensor field.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science

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