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Time-Delay Regularization of Anisotropic Diffusion and Image Processing

Chambolle, Antonin; Belahmidi, Abdelmounim (2005), Time-Delay Regularization of Anisotropic Diffusion and Image Processing, Mathematical Modelling and Numerical Analysis, 39, 2, p. 231-251. http://dx.doi.org/10.1051/m2an:2005010

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00001401/en/
Date
2005
Journal name
Mathematical Modelling and Numerical Analysis
Volume
39
Number
2
Pages
231-251
Publication identifier
Metadata
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Author(s)
Chambolle, Antonin cc
Belahmidi, Abdelmounim
Abstract (EN)
We study a time-delay regularization of the anisotropic diffusion model for image denoising of Malik and Perona, which has been proposed by Nitzberg and Shiota. In the two-dimensional case, we show the convergence of a numerical approximation and the existence of a weak solution. Finally, we show some experiments on images.
Subjects / Keywords
Variational methods; Numerical approximation; Time-delay regularization and Malik and Perona equation; Image restoration