Convex relaxation of a class of vertex penalizing functionals

Add to your list(s) Download to your calendar using vCal

• Thomas Pock (Graz University of Technology)
• Tuesday 02 September 2014, 15:00-16:00
• MR 14, CMS.

If you have a question about this talk, please contact Carola-Bibiane Schoenlieb.

We investigate a class of variational problems that incorporate in some sense curvature information of the level lines. The functionals we consider incorporate metrics defined on the orientations of pairs of line segments that meet in the vertices of the level lines. We discuss two particular instances: One instance that minimizes the total number of vertices of the level lines and another instance that minimizes the total sum of the absolute exterior angles between the line segments. In case of smooth level lines, the latter corresponds to the total absolute curvature. We show that these problems can be solved approximately by means of a tractable convex relaxation in higher dimensions. In our numerical experiments 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)

This talk is part of the Applied and Computational Analysis series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• Applied and Computational Analysis
• CMS Events
• DAMTP info aggregator
• Featured lists
• Interested Talks
• MR 14, CMS
• My seminars
• Type the title of a new list here
• bld31

Note that ex-directory lists are not shown.