A nonlinear diffusion model for image restoration
A nonlinear diffusion model for image restoration
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DOI：
10.1007/s10255-016-0592-7
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发表时间：
2016-07
期刊：
影响因子：
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通讯作者：
Yonggui Zhu;Xin-yan Yu;Bin Zhang;Xiu-xiu Niu
中科院分区：
文献类型：
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作者：
Yonggui Zhu;Xin-yan Yu;Bin Zhang;Xiu-xiu Niu
本文研究了图像处理中的不适定Perona-Malik方程[14]和Catte等人提出的正则化P-M模型，即C-模型。[4]的文件。作者提出了这两个模型的凸复合偏微分方程组的形式。详细证明了方程的弱解。给出了该模型的加性算子分裂算法。最后，我们展示了一些数字图像上的实验结果。
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 experimental results on images.