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.
@article{M2AN_2005__39_2_231_0,
author = {Belahmidi, Abdelmounim and Chambolle, Antonin},
title = {Time-delay regularization of anisotropic diffusion and image processing},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {39},
year = {2005},
pages = {231-251},
doi = {10.1051/m2an:2005010},
mrnumber = {2143948},
zbl = {1101.68102},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2005__39_2_231_0}
}
Belahmidi, Abdelmounim; Chambolle, Antonin. Time-delay regularization of anisotropic diffusion and image processing. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 39 (2005) pp. 231-251. doi : 10.1051/m2an:2005010. http://gdmltest.u-ga.fr/item/M2AN_2005__39_2_231_0/
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