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

Journal Article · Thu Feb 15 00:00:00 EST 2018 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/S10958-017-3648-1· OSTI ID:22771587

Fuchs, M., E-mail: [e-mail]; Müller, J., E-mail: [e-mail] ^[1]

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1. Universität des Saarlandes, Fachbereich 6.1 Mathematik (Germany)

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, Vol. 228, Issue 6; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1072-3374
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ENERGY DENSITY
FUNCTIONALS
IMAGES
MATHEMATICAL SPACE
VARIATIONAL METHODS