A nonlinear diffusion model for image restoration

被引：2
|
作者：
Zhu, Yong-gui [1 ]
Yu, Xin-yan [1 ]
Zhang, Bin [1 ]
Niu, Xiu-xiu [1 ]
机构：
[1] Commun Univ China, Sch Sci, Beijing 100024, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2016年 / 32卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Perona-Malik model; C-model; weak solutions; AOS algorithm; NOISE REMOVAL; EDGE-DETECTION; RECONSTRUCTION; EFFICIENT;
D O I：
10.1007/s10255-016-0592-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：631 / 646
页数：16
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