@Article{IJNAM-12-81,
author = {},
title = {A Total Variation Discontinuous Galerkin Approach for Image Restoration},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2015},
volume = {12},
number = {1},
pages = {81--93},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/479.html}
}