Volume 39, Number 2, March-April 2005
|Page(s)||231 - 251|
|Published online||15 April 2005|
Time-delay regularization of anisotropic diffusion and image processing
CEREMADE (CNRS UMR 7534),
Université de Paris Dauphine, 75775 Paris Cedex 16, France. firstname.lastname@example.org
2 CMAP (CNRS UMR 7641), École Polytechnique, 91128 Palaiseau Cedex, France. email@example.com
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
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