Intelligent Systems Lab Amsterdam


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Contact Computations

Objective

We study the computations of contact between bodies, a problem originally motivated by robotic collision avoidance. We use a mathematical transform to bring the problem into simpler form; and aim to convert that into faster algorithms.

Research group members

dr ir Leo Dorst
and a strain of master's students

Funding

University of Amsterdam

Research Achievements

We have developed the slope transform as a generalization of the Legendre transform suited to dealing with contact of non-convex objects. This has been extended to a coordinate-free object representation as the normal transform, which is a projective dual. Recently, formulations in terms of geometric algebra appear promising. The Legendre transform formulation is strongly analogous to the Fourier transform for linear filtering (see references).

More information

project page
Maintained by Bas Terwijn. Last edited on Mon, 25 Jan 2010 13:38:54 +0100