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Haptic rendering of parametric surfaces using a feedback stabilized extremal distance tracking algorithm

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2 Author(s)
Patoglu, V. ; Dept. of Mech. Eng., Michigan Univ., Ann Arbor, MI, USA ; Gillespie, R.B.

An extremal distance tracking algorithm is presented for convex parametric curves and surfaces undergoing rigid body motion. The geometric extremization problem is differentiated with respect to time to produce a dynamical system that incorporates dependence on both surface shape and rigid body motion. Extremization then takes place by integrating these dynamical equations, but with a feedback controller in place to stabilize the solution. A controller design using feedback linearization is developed that simultaneously accounts for surface shape and motion while asymptotically achieving (and maintaining) the extremal pair. Collision detection then takes place in a framework fully analogous to that used for multibody simulation. Local stability results are extended to provide global stability for body shapes composed of pieced-together convex parametric surface patches using a switching algorithm.

Published in:

Haptic Interfaces for Virtual Environment and Teleoperator Systems, 2004. HAPTICS '04. Proceedings. 12th International Symposium on

Date of Conference:

27-28 March 2004

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