Time-delay regularization of anisotropic diffusion and image processing
ESAIM: Modélisation mathématique et analyse numérique, Tome 39 (2005) no. 2, pp. 231-251.

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.

DOI : 10.1051/m2an:2005010
Classification : 68U10, 35K55, 35M10
Mots-clés : image restoration, edge detection, Perona-Malik equation, time-delay regularization 
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Belahmidi, Abdelmounim; Chambolle, Antonin. Time-delay regularization of anisotropic diffusion and image processing. ESAIM: Modélisation mathématique et analyse numérique, Tome 39 (2005) no. 2, pp. 231-251. doi : 10.1051/m2an:2005010. http://www.numdam.org/articles/10.1051/m2an:2005010/

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