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arXiv · 1803.10513

Coupled variational problems of linear growth related to the denoising and inpainting of images

Jan Mueller
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Abstract

In this note we present some results that were already conjectured in the work [9] by Bildhauer, Fuchs and Weickert, where they have investigated analytical aspects of coupled variational models with applications to mathematical imaging. Here we focus on variants of linear growth, which require a treatment in the framework of relaxation theory and convex analysis. Following basic ideas from [6] and [7], we establish existence and regularity of (dual-)solutions.

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Jan Mueller. 2018-03-28. Coupled variational problems of linear growth related to the denoising and inpainting of images. https://doi.org/10.1007/s10958-017-3446-9

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