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Time-delay regularization of anisotropic diffusion and image processing

Published online by Cambridge University Press:  15 April 2005

Abdelmounim Belahmidi  and
Antonin Chambolle
Abdelmounim Belahmidi
Affiliation:
CEREMADE (CNRS UMR 7534), Université de Paris Dauphine, 75775 Paris Cedex 16, France. [email protected]
Antonin Chambolle
Affiliation:
CMAP (CNRS UMR 7641), École Polytechnique, 91128 Palaiseau Cedex, France. [email protected]
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Abstract

We study a time-delay regularization of the anisotropic diffusion model for image denoising of Perona and Malik [IEEE Trans. Pattern Anal. Mach. Intell12 (1990) 629–639], which has been proposed by Nitzberg and Shiota [IEEE Trans. Pattern Anal. Mach. Intell14 (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.

Keywords

Image restorationedge detectionPerona-Malik equationtime-delay regularization.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 39 , Issue 2 , March 2005 , pp. 231 - 251
Copyright
© EDP Sciences, SMAI, 2005

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