Stamm, Benjamin; Wihler, Thomas (2015). A total variation discontinuous Galerkin approach for image restoration. International Journal of Numerical Analysis and Modeling, 12(1), pp. 81-93. Edmonton: Institute for Scientific Computing and Information
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The focal point of this paper is to propose and analyze a P 0 discontinuous Galerkin (DG) formulation for image denoising. The scheme is based on a total variation approach which has been applied successfully in previous papers on image processing. The main idea of the new scheme is to model the restoration process in terms of a discrete energy minimization problem and to derive a corresponding DG variational formulation. Furthermore, we will prove that the method exhibits a unique solution and that a natural maximum principle holds. In addition, a number of examples illustrate the effectiveness of the method.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Wihler, Thomas |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
1705-5105 |
Publisher: |
Edmonton: Institute for Scientific Computing and Information |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
05 Apr 2016 13:53 |
Last Modified: |
05 Dec 2022 14:52 |
BORIS DOI: |
10.7892/boris.77216 |
URI: |
https://boris.unibe.ch/id/eprint/77216 |
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