| Issue |
ESAIM: M2AN
Volume 39, Number 2, March-April 2005
|
|
|---|---|---|
| Page(s) | 231 - 251 | |
| DOI | https://doi.org/10.1051/m2an:2005010 | |
| Published online | 15 April 2005 | |
Time-delay regularization of anisotropic diffusion and image processing
1
CEREMADE (CNRS UMR 7534),
Université de Paris Dauphine, 75775 Paris Cedex 16, France. belamid@ceremade.dauphine.fr
2
CMAP (CNRS UMR 7641), École Polytechnique, 91128 Palaiseau Cedex, France.
antonin.chambolle@polytechnique.fr
Received:
2
March
2004
We study a time-delay regularization of the anisotropic diffusion model for image denoising of Perona and Malik [IEEE Trans. Pattern Anal. Mach. Intell 12 (1990) 629–639], which has been proposed by Nitzberg and Shiota [IEEE Trans. Pattern Anal. Mach. Intell 14 (1998) 826–835]. 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.
Mathematics Subject Classification: 68U10 / 35K55 / 35M10
Key words: Image restoration / edge detection / Perona-Malik equation / time-delay regularization.
© EDP Sciences, SMAI, 2005
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.