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Generalized penetration depth for penalty-based six-degree-of-freedom haptic rendering

Published online by Cambridge University Press:  01 July 2008

Maxim Kolesnikov*
Affiliation:
Department of Electrical and Computer Engineering, University of Illinois at Chicago, Chicago, IL 60607-7053. Email: [email protected], [email protected]
Miloš Žefran
Affiliation:
Department of Electrical and Computer Engineering, University of Illinois at Chicago, Chicago, IL 60607-7053. Email: [email protected], [email protected]
*
*Corresponding author: E-mail: [email protected]

Summary

Existing penalty-based haptic rendering approaches are based on the penetration depth estimation in strictly translational sense and cannot properly take object rotation into account. We propose a new six-degree-of-freedom (6-DOF) haptic rendering algorithm which is based on determining the closest-point projection of the inadmissible configuration onto the set of admissible configurations. Energy is used to define a metric on the configuration space. Once the projection is found the 6-DOF wrench can be computed from the generalized penetration depth. The space is locally represented with exponential coordinates to make the algorithm more efficient. Examples compare the proposed algorithm with the existing approaches and show its advantages.

Type
Article
Copyright
Copyright © Cambridge University Press 2008

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