Denoising and Inpainting of Images Using Tv-Type Energies: Theoretical and Computational Aspects
- Authors: Bildhauer M.1, Fuchs M.1, Weickert J.2
-
Affiliations:
- Universitӓt des Saarlandes
- Mathematical Image Analysis Group Faculty of Mathematics and Computer Sciences, Saarland University
- Issue: Vol 219, No 6 (2016)
- Pages: 899-910
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238726
- DOI: https://doi.org/10.1007/s10958-016-3153-y
- ID: 238726
Cite item
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