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SUMMARY:Convex relaxation of a class of vertex penalizing functionals - Th
 omas Pock (Graz University of Technology)
DTSTART:20140902T140000Z
DTEND:20140902T150000Z
UID:TALK51859@talks.cam.ac.uk
CONTACT:Carola-Bibiane Schoenlieb
DESCRIPTION:We investigate a class of variational problems that incorporat
 e in some sense curvature information of the level lines. The functionals 
 we consider incorporate metrics defined on the orientations of pairs of li
 ne \nsegments that meet in the vertices of the level lines. We discuss two
  particular instances: One instance that minimizes the total number of ver
 tices of the level lines and another instance that minimizes the total \ns
 um of the absolute exterior angles between the line segments. In case of s
 mooth level lines\, the latter corresponds to the total absolute curvature
 . We show that these problems can be solved approximately by means of a tr
 actable convex relaxation in higher dimensions. In our numerical experimen
 ts we present preliminary results for image segmentation\, image denoising
  and image inpainting. (Joint work with Kristian Bredies\, University Graz
 \, and Benedikt Wirth\, University of Münster)
LOCATION:MR 14\, CMS
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