BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Optimal Transport-Based Total Variation for Functional Lifting and
  Q-Ball Imaging - Thomas Vogt (Universität zu Lübeck)
DTSTART:20170908T130000Z
DTEND:20170908T135000Z
UID:TALK78491@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Co-Author: Jan Lellmann (Institute of Mathematics and Image Co
 mputing\, University of L&uuml\;beck)<br><br>One strategy in functional li
 fting is to consider probability measures on the label space of interest\,
  which can be discrete or continuous. The considered functionals often mak
 e use of a total variation regularizer which\, when lifted\, allows for a 
 dual formulation introducing a Lipschitz constraint. In our recent work\, 
 we proposed to use a similar formulation of total variation for the restor
 ation of so-called Q-Ball images. In this talk\, we present a mathematical
  framework for total variation regularization that is inspired from the th
 eory of Optimal Transport and that covers all of the previous cases\, incl
 uding probability measures on discrete and continuous label spaces and on 
 manifolds. This framework nicely explains the above-mentioned Lipschitz co
 nstraint and comes with a robust theoretical background.<br>
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR