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A Remark on Denoising of Greyscale Images Using Energy Densities with Varying Growth Rates

Journal Article · · Journal of Mathematical Sciences
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.
OSTI ID:
22771587
Journal Information:
Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 6 Vol. 228; ISSN JMTSEW; ISSN 1072-3374
Country of Publication:
United States
Language:
English

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