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Distortion minimizing geodesic subspaces on shape ensembles

Presented by: 
Alain Trouve CNRS - Ecole Normale Superieure Paris
Date: 
Thursday 16th November 2017 - 14:45 to 15:30
Venue: 
INI Seminar Room 1
Abstract: 
We have seen great progress during the last ten years in the understanding of the riemaniann framework on shape spaces, also supported by the steady exponential growth of the computational resources. The outcome is that the modeling possibilities for shapes ensembles are now fairly large. However, it is not that clear how to address concretely the selection of different metric structures for the analysis of a shape ensembles. In this talk, we will discuss some simple geometrical point of view going in that direction and with interesting links with matrix completion. Joint work with David Jacobs, Benjamin Charlier and J. Feydy.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons