A total variation discontinuous Galerkin approach for image restoration

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 Apr 2016 13:53

BORIS DOI:

10.7892/boris.77216

URI:

https://boris.unibe.ch/id/eprint/77216

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