Prof. Dr. Gabriele Steidl (Universität Mannheim): Operator Splittings in Image Processing |
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| Startdatum/-zeit: | 07.07.2010 17:15 |
| Enddatum/-zeit: | 07.07.2010 |
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| Adresse: | Fachbereich Mathematik/ Informatik, Institut für Mathematik Prof. Dr. Gitta Kutyniok Albrechtstr. 28a 49076 Osnabrück |
| Telefon: | 0541 - 969 - 3516 |
| Telefax: | 0541 - 969 - 2770 |
| E-Mail: | kutyniok@uos.de |
| Homepage: | http://www.mathematik.uni-osnabrueck.de/kolloquium.html |
Veranstaltungsort: |
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| Adresse: | Institut für Mathematik Institut für Mathematik, Geb. 69/ Raum 125 Albrechtstr. 28a, 49076 Osnabrück |
| Karte: | Bei Google Maps anzeigen |
| Beschreibung: | Operator splitting techniques were developed in the 60th for the efficient solution of linear systems of equations appearing in connection with the numerical solution of partial differential equations. More than 20 years later these methods were generalized to nonlinear, set-valued, monotone operators and were recently successfully applied in image precessing. After motivating why methods of convex analysis/non-smooth convex optimization are useful for many image restoration tasks we give a brief introduction into the relevant operator splitting techniques. We point out that for special functionals there exist equivalent derivations via averaged operatoren, (Bregman) proximal point methods or augmented Lagrangian methods. Then we present applications of operator splitting methods in direction-steered inpainting (interpolation) and for denoising of images corruped with non-additive noise (and possibly some blur) which appear for example in Synthetic Aperture Radar and electronic microscopy. |
| Kategorie: | Mathematisches Kolloquium |
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