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arXiv · 1803.10534

A remark on the denoising of greyscale images using energy densities with varying growth rates

Martin Fuchs·Jan Mueller
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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 in [1] for the denoising of greyscale images. In contrast to their approach we discuss energy densities with variable growth rates depending on $|\nabla u|$ in a rather general form including functionals of $(1, p)$-growth.

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Martin Fuchs, Jan Mueller. 2018-03-28. A remark on the denoising of greyscale images using energy densities with varying growth rates. https://doi.org/10.1007/s10958-017-3648-1

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