Time-delay regularization of anisotropic diffusion and image processing

Abdelmounim Belahmidi; Antonin Chambolle

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 39, Issue: 2, page 231-251
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Belahmidi, Abdelmounim, and Chambolle, Antonin. "Time-delay regularization of anisotropic diffusion and image processing." ESAIM: Mathematical Modelling and Numerical Analysis 39.2 (2010): 231-251. <http://eudml.org/doc/194261>.

@article{Belahmidi2010,
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. },
author = {Belahmidi, Abdelmounim, Chambolle, Antonin},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Image restoration; edge detection; Perona-Malik equation; time-delay regularization.},
language = {eng},
month = {3},
number = {2},
pages = {231-251},
publisher = {EDP Sciences},
title = {Time-delay regularization of anisotropic diffusion and image processing},
url = {http://eudml.org/doc/194261},
volume = {39},
year = {2010},
}

TY - JOUR
AU - Belahmidi, Abdelmounim
AU - Chambolle, Antonin
TI - Time-delay regularization of anisotropic diffusion and image processing
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 39
IS - 2
SP - 231
EP - 251
AB - 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.
LA - eng
KW - Image restoration; edge detection; Perona-Malik equation; time-delay regularization.
UR - http://eudml.org/doc/194261
ER -

References

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