Weak solutions for a class of generalised image restoration models

被引：1

作者：

Li, Shuaijie ^{[1
]}

Li, Peng ^{[2
]}

机构：

[1] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China

[2] Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Shandong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2018年 / 8卷 / 03期

关键词：

anisotropic diffusion; approximate solution; existence; image restoration; isotropic diffusion; nonlinear diffusion; parabolic PDE; ROF model; total variation; uniqueness; weak solution;

D O I：

10.1504/IJDSDE.2018.092665

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, based on some well-known restoration models, first, we propose a general form of image restoration functional model under some conditions, and get a class of related nonlinear parabolic partial differential equations. Second, we have established the existence and uniqueness of weak solutions for these equations. This work has supplied theoretical basis for image restoration models, and has great significance in image restoration field.

引用

页码：190 / 203

页数：14

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