Email this article A Remark on Denoising of Greyscale Images Using Energy Densities with Varying Growth Rates
- Authors: Fuchs M.1, Müller J.1
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Affiliations:
- Universität des Saarlandes, Fachbereich 6.1 Mathematik
- Issue: Vol 228, No 6 (2018)
- Pages: 705-722
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240318
- DOI: https://doi.org/10.1007/s10958-017-3648-1
- ID: 240318
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Abstract
We prove the solvability in Sobolev spaces for a class of variational problems related to the TV-model proposed by Rudin, Osher and Fatemi for the denoising of greyscale images. In contrast to their approach, we discuss energy densities with variable growth rates depending on |∇u| in a rather general form including functionals of (1, p)-growth.
About the authors
M. Fuchs
Universität des Saarlandes, Fachbereich 6.1 Mathematik
Author for correspondence.
Email: fuchs@math.uni-sb.de
Germany, Saarbrücken, D–66041
J. Müller
Universität des Saarlandes, Fachbereich 6.1 Mathematik
Email: fuchs@math.uni-sb.de
Germany, Saarbrücken, D–66041
