Seminar by François-Xavier Vialard - Variational problems on the group of smooth diffeomorphisms with applications to diffeomorphic image registration   28 April 2015

14:00 - 16:00


François-Xavier Vialard, Université Paris-Dauphine

In this talk, we will present the use of right-invariant Riemannian metric on the group of diffeomorphisms in image matching.
Our presentation will be mainly theoretical although motivated by applications. First, we will review metric completeness properties on the group of sobolev diffeomorphims as well as geodesic completeness. In the second part, we will propose higher-order variational problems on the group of diffeomorphisms and we will present higher-order reduction method to derive the associated Euler-Lagrange equation. We will focus on the Cauchy problem associated with this Euler-Lagrange equation and the existence of minimizers for the boundary value problem. We will conclude with some open questions.

Name University Dates of visit
François-Xavier Vialard Université Paris-Dauphine 28/04/2015 - 28/04/2015
Total Guests : 1
Name University Dates of visit
Total Guests : 0