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http://dx.doi.org/10.7583/JKGS.2019.19.6.99

A Robust and Efficient Method to Compute the Closest Approach Distance between Two Ellipsoids  

Choi, Min Gyu (Dept. of Computer Science, Kwangwoon University)
Publication Information
Journal of Korea Game Society / v.19, no.6, 2019 , pp. 99-106 More about this Journal
Abstract
This paper addresses a method to compute the closest approach distance between two ellipsoids in their inter-center direction. This is the key technique for collision detection and response between ellipsoids. We formulate a set of conditions with the inter-center distance, the contact point and the contact normal vector of the two externally-contacting ellipsoids. The equations are solved robustly and efficiently using a hybrid of Newton's method and the bisection method with root bracketing. We demonstrate the robustness and efficiency of the proposed method in various experiments.
Keywords
Collision Handling; Closest Approach distance; Ellipsoid; Inter-Center Direction;
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Times Cited By KSCI : 1  (Citation Analysis)
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