Convex Regularization of Multi-Channel Images Based on Variants of the TV-Model
Martin Fuchs, Jan Mueller, Christian Tietz, Joachim Weickert

TL;DR
This paper explores mathematical properties like existence and regularity of multi-channel images when applying different variants of the TV-model, enhancing understanding of image regularization techniques.
Contribution
It provides new theoretical results on the existence and regularity of solutions for isotropic and anisotropic TV-model variants in multi-channel image processing.
Findings
Established existence of solutions for TV-model variants.
Proved regularity properties for multi-channel images.
Compared isotropic and anisotropic TV-model behaviors.
Abstract
We discuss existence and regularity results for multi-channel images in the setting of isotropic and anisotropic variants of the TV-model.
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