eprintid: 8759 rev_number: 25 eprint_status: archive userid: 1 dir: disk0/00/00/87/59 datestamp: 2008-11-06 14:04:01 lastmod: 2016-01-17 03:56:25 status_changed: 2012-08-14 15:26:45 type: preprint metadata_visibility: show creators_name: Lellmann, Jan creators_name: Kappes, Jörg creators_name: Yuan, Jing creators_name: Becker, Florian creators_name: Schnörr, Christoph title: Convex Multi-Class Image Labeling by Simplex-Constrained Total Variation ispublished: pub subjects: 510 divisions: 708000 cterms_swd: Bildverarbeitung cterms_swd: Konvexe Optimierung cterms_swd: Diskrete Optimierung cterms_swd: Funktion von beschränkter Variation abstract: Multi-class labeling is one of the core problems in image analysis. We show how this combinatorial problem can be approximately solved using tools from convex optimization. We suggest a novel functional based on a multidimensional total variation formulation, allowing for a broad range of data terms. Optimization is carried out in the operator splitting framework using Douglas-Rachford Splitting. In this connection, we compare two methods to solve the Rudin-Osher-Fatemi type subproblems and demonstrate the performance of our approach on single- and multichannel images. abstract_translated_lang: eng date: 2008 date_type: published id_scheme: DOI id_number: 10.11588/heidok.00008759 portal_cluster_id: p-iwrpp portal_order: 08759 ppn_swb: 1647466601 own_urn: urn:nbn:de:bsz:16-opus-87593 language: ger bibsort: LELLMANNJACONVEXMULT2008 full_text_status: public series: IWR-Preprints citation: Lellmann, Jan ; Kappes, Jörg ; Yuan, Jing ; Becker, Florian ; Schnörr, Christoph (2008) Convex Multi-Class Image Labeling by Simplex-Constrained Total Variation. [Preprint] document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/8759/1/lellmann08multiclasstv1.pdf