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A Nonlinear Diffusion Model for Image Restoration

Yonggui Zhu Communication University of China Xinyan Yu Communication University of China Bin Zhang Communication University of China Xiuxiu Niu Communication University of China

Numerical Analysis and Scientific Computing mathscidoc:1702.25039

Acta Mathematicae Applicatae Sinica,English Series, 32, (3), 631-646, 2016.6
In this paper, we study the ill posed Perona-Malik equation of image processing [14], and the regularized P-M model i.e. C-model proposed by Catte et al. [4]. The authors present the convex compound of these two models in the form of the system of partial differential equations. The weak solution for the equations is proved in detail. The additive operator splitting (AOS) algorithm for the proposed model is also given. Finally, we show some numeric experiment results on images.
Perona-Malik model; C-model; Weak solutions; AOS algorithm
[ Download ] [ 2017-02-09 05:08:15 uploaded by ygzhu ] [ 914 downloads ] [ 0 comments ] 
@inproceedings{yonggui2016a,
  title={A Nonlinear Diffusion Model for Image Restoration},
  author={Yonggui Zhu, Xinyan Yu, Bin Zhang, and Xiuxiu Niu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170209050815515142354},
  booktitle={Acta Mathematicae Applicatae Sinica,English Series},
  volume={32},
  number={3},
  pages={631-646},
  year={2016},
}
Yonggui Zhu, Xinyan Yu, Bin Zhang, and Xiuxiu Niu. A Nonlinear Diffusion Model for Image Restoration. 2016. Vol. 32. In Acta Mathematicae Applicatae Sinica,English Series. pp.631-646. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170209050815515142354.
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