Denoising and Inpainting of Images Using Tv-Type Energies: Theoretical and Computational Aspects


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Abstract

We discuss variational approaches towards the denoising of images and towards the image inpainting problem combined with simultaneous denoising. Our techniques are based on variants of the TV-model, but in contrast to this case a complete analytical theory is available in our setting. At the same time, numerical experiments illustrate the advantages of our models in comparison with some established techniques. Bibliography: 50 titles. Illustrations: 1 figure.

About the authors

M. Bildhauer

Universitӓt des Saarlandes

Author for correspondence.
Email: bibi@math.uni-sb.de
Germany, Fachbereich 6.1 Mathematik Postfach 15 11 50, Saarbrücken, D–66041

M. Fuchs

Universitӓt des Saarlandes

Email: bibi@math.uni-sb.de
Germany, Fachbereich 6.1 Mathematik Postfach 15 11 50, Saarbrücken, D–66041

J. Weickert

Mathematical Image Analysis Group Faculty of Mathematics and Computer Sciences, Saarland University

Email: bibi@math.uni-sb.de
Germany, Campus E1.7, Saarbrücken, D–66041


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