A Variational Approach to the Denoising of Images Based on Different Variants of the TV-Regularization

A Variational Approach to the Denoising of Images Based on Different Variants of the... We discuss several variants of the TV-regularization model used in image recovery. The proposed alternatives are either of nearly linear growth or even of linear growth, but with some weak ellipticity properties. The main feature of the paper is the investigation of the analytic properties of the corresponding solutions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

A Variational Approach to the Denoising of Images Based on Different Variants of the TV-Regularization

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Publisher
Springer-Verlag
Copyright
Copyright © 2012 by Springer Science+Business Media New York
Subject
Mathematics; Mathematical Methods in Physics; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization; Numerical and Computational Physics; Theoretical, Mathematical and Computational Physics
ISSN
0095-4616
eISSN
1432-0606
D.O.I.
10.1007/s00245-012-9174-0
Publisher site
See Article on Publisher Site

Abstract

We discuss several variants of the TV-regularization model used in image recovery. The proposed alternatives are either of nearly linear growth or even of linear growth, but with some weak ellipticity properties. The main feature of the paper is the investigation of the analytic properties of the corresponding solutions.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Dec 1, 2012

References

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