典型文献
A NON-LOCAL DIFFUSION EQUATION FOR NOISE REMOVAL
文献摘要：
In this paper,we propose a new non-local diffusion equation for noise removal,which is derived from the classical Perona-Malik equation(PM equation)and the regularized PM equation.Using the convolution of the image gradient and the gradient,we propose a new diffusion coefficient.Due to the use of the convolution,the diffusion coefficient is non-local.However,the solution of the new diffusion equation may be discontinuous and belong to the bounded variation space(BV space).By virtue of Young measure method,the existence of a BV solution to the new non-local diffusion equation is established.Experimental results illustrate that the new method has some non-local performance and performs better than the original PM and other methods.
文献关键词：
中图分类号：
作者姓名：
Jingfeng SHAO;Zhichang GUO;Wenjuan YAO;Dong YAN;Boying WU
作者机构：
School of Mathematics,Harbin Institute of Technology,Harbin 15000,China;School of Mathematics,University of California at Irvine,Irvine 92697,U.S.A.
文献出处：
引用格式：
[1]Jingfeng SHAO;Zhichang GUO;Wenjuan YAO;Dong YAN;Boying WU-.A NON-LOCAL DIFFUSION EQUATION FOR NOISE REMOVAL)[J].数学物理学报（英文版）,2022(05):1779-1808
A类：
LOCAL,DIFFUSION,EQUATION,REMOVAL,Perona,Malik
B类：
NON,FOR,NOISE,In,this,paper,propose,new,local,diffusion,equation,noise,removal,which,derived,from,classical,PM,regularized,Using,convolution,image,gradient,coefficient,Due,use,However,solution,may,discontinuous,belong,bounded,variation,space,BV,By,virtue,Young,measure,existence,established,Experimental,results,illustrate,that,has,some,performance,performs,better,than,original,other,methods
AB值：
0.485378
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