A total variation discontinuous Galerkin approach for image restoration


Autoria(s): Stamm, Benjamin; Wihler, Thomas
Data(s)

2015

Resumo

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.

Formato

application/pdf

Identificador

http://boris.unibe.ch/77216/1/2.pdf

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

doi:10.7892/boris.77216

urn:issn:1705-5105

Idioma(s)

eng

Publicador

Edmonton: Institute for Scientific Computing and Information

Relação

http://boris.unibe.ch/77216/

http://www.math.ualberta.ca/ijnam/Volume-12-2015/No-1-15/2015-01-04.pdf

Direitos

info:eu-repo/semantics/restrictedAccess

Fonte

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

Palavras-Chave #510 Mathematics
Tipo

info:eu-repo/semantics/article

info:eu-repo/semantics/publishedVersion

PeerReviewed