Year: 2015
International Journal of Numerical Analysis and Modeling, Vol. 12 (2015), Iss. 1 : pp. 81–93
Abstract
The focal point of this paper is to propose and analyze a $\mathbb{P}_0$ 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2015-IJNAM-479
International Journal of Numerical Analysis and Modeling, Vol. 12 (2015), Iss. 1 : pp. 81–93
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Discontinuous Galerkin methods total variation image denoising energy minimization methods nonlinear elliptic filters.