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http://dx.doi.org/10.7583/JKGS.2019.19.1.5

A Practical Method to Compute the Closest Approach Distance of Two Ellipsoids  

Choi, Min Gyu (Dept. of Computer Science, Kwangwoon University)
Publication Information
Journal of Korea Game Society / v.19, no.1, 2019 , pp. 5-14 More about this Journal
Abstract
This paper presents a practical method to compute the closest approach distance of two ellipsoids in their inter-center direction. This is the key technique for collision handling in the dynamic simulation of rigid and deformable bodies approximated with ellipsoids. We formulate a set of equations with the inter-center distance and the contact point and normal for the two ellipsoids contacting each other externally. The equations are solved using fixed-point iteration and Aitken's delta-squared process. In addition, we introduce a novel stopping criterion expressed in terms of the error in distance. We demonstrate the efficiency and practicality of our method in various experiments.
Keywords
Ellipsoid; Closest approach distance; Inter-center direction; Collision handling; Physics-based dynamic simulation;
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