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SUMMARY:Martin Rumpf (University of Bonn)
DTSTART:20210615T170000Z
DTEND:20210615T180000Z
DTSTAMP:20260423T035020Z
UID:OSGA/65
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/65/">Ri
 emannian calculus in shape spaces</a>\nby Martin Rumpf (University of Bonn
 ) as part of Online Seminar "Geometric Analysis"\n\n\nAbstract\nSpaces of 
 curves and surfaces or spaces of images are considered as Riemannian manif
 olds.\nThe talk will develop a calculus on such spaces\, which enables\n<u
 l>\n<li>the computation of distances via minimizing a Riemannian path ener
 gy\,</li>\n<li>interpolation of shapes along geodesic paths\,</li>\n<li>ex
 trapolation via the Riemannian exponential map\,</li>\n<li>detail transfer
  via parallel transport\,</li>\n<li>key pose interpolation via Riemannian 
 splines\, and</li>\n<li>statistical analysis via Riemannian PCA.</li>\n</u
 l>\nTo this end a time discrete calculus is introduced and its\nconvergenc
 e is discussed.\n
LOCATION:https://researchseminars.org/talk/OSGA/65/
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