Email this article A Coupled Variational Problem of Linear Growth Related to the Denoising and Inpainting of Images
- Authors: Müller J.1
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Affiliations:
- Universität des Saarlandes, Fachbereich 6.1 Mathematik
- Issue: Vol 224, No 5 (2017)
- Pages: 709-734
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239673
- DOI: https://doi.org/10.1007/s10958-017-3446-9
- ID: 239673
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Abstract
We present some results conjectured by Bildhauer, Fuchs, and Weickert who investigated analytical aspects of coupled variational models with applications to mathematical imaging. We focus on variants of linear growth, which require a treatment within the framework of relaxation theory and convex analysis. We establish existence and regularity of (dual-) solutions.
About the authors
J.-S. Müller
Universität des Saarlandes, Fachbereich 6.1 Mathematik
Author for correspondence.
Email: jmueller@math.uni-sb.de
Germany, Postfach 15 11 50, Saarbrücken, D–66041
