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What can we learn from large deformation diffeomorphic metric mapping on spaces of rigid bodies?

Presented by: 
Laurent Younes Johns Hopkins University
Date: 
Thursday 16th November 2017 - 09:00 to 09:45
Venue: 
INI Seminar Room 1
Abstract: 
The Large Deformation Diffeomorphic Metric Mapping (LDDMM) algorithms rely on a sub-Riemannian metric on the diffeomorphism group with strong smoothness requirements. This talk will describe a series of simple simulations illustrating the effect of such metrics when considering, in particular, the motion of rigid objects subject to the associated least action principle. It will also show why modifications of this metric can be useful in some cases, with some examples provided.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons