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SUMMARY:Sobolev metrics on shape space of surfaces
DTSTART:20140401T161500
DTEND:20140401T171500
DTSTAMP:20260924T112953Z
UID:a79618f60b85e76378c1cb04cd6f7993f3473cc1d5e8b1a631a7ff1b
CATEGORIES:Conferences - Seminars
DESCRIPTION:Philipp Harms\nGeometry and Dynamics SeminarAbstract: Many pro
 cedures in science\, engineering and medicine produce data in the form of 
 geometric shapes. Mathematically\, a shape can be modeled as an unparamete
 rized submanifold of some fixed ambient space. Endowing shape space with a
  Riemannian metric opens up the world of Riemannian differential geometry 
 with geodesics\, gradient flows\, parallel transport and curvature. The Ri
 emannian metric can be induced from metrics on the diffeomorphism group of
  the ambient space (outer metrics) or from metrics on the space of paramet
 erized immersions (inner metrics). I will give an introduction to both app
 roaches and discuss the second one in more detail. More specifically\, I w
 ill define Sobolev-type inner metrics\, discuss properties of the resultin
 g geodesic distance and geodesic equation\, and present some simple numeri
 cal examples of geodesics.
LOCATION:MA A3 31
STATUS:CONFIRMED
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