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SUMMARY:Variational problems on the group of smooth diffeomorphisms with a
 pplications to diffeomorphic image registration
DTSTART:20150428T140000
DTEND:20150428T160000
DTSTAMP:20260609T201338Z
UID:c256b6cd9b1ab8e02907a449e194cd6119fdd43c754ce2dc4fc8cd4d
CATEGORIES:Conferences - Seminars
DESCRIPTION:François-Xavier Vialard\nIn this talk\, we will present the u
 se of right-invariant Riemannian metric on the group of diffeomorphisms in
  image matching.\nOur presentation will be mainly theoretical although mot
 ivated by applications. First\, we will review metric completeness propert
 ies on the group of sobolev diffeomorphims as well as geodesic completenes
 s. 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 e
 xistence of minimizers for the boundary value problem. We will conclude wi
 th some open questions.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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