On weak solutions for an image denoising-deblurring model  

作　　者：HUANG Hai-yang JIA Chun-yan HUAN Zhong-dan School of Mathematical Sciences,Beijing Normal University Laboratory of Mathematics and ComplexSystems,Ministry of Education,Beijing 100875,China 

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2009年第3期269-281,共13页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China (10531040)

摘　　要：A new denoising-deblurring model in image restoration is proposed,in which the regularization term carries out anisotropic diffusion on the edges and isotropic diffusion on the regular regions.The existence and uniqueness of weak solutions for this model are proved,and the numerical model is also testified.Compared with the TV diffusion,this model preferably reduces the staircase appearing in the restored images.A new denoising-deblurring model in image restoration is proposed,in which the regularization term carries out anisotropic diffusion on the edges and isotropic diffusion on the regular regions.The existence and uniqueness of weak solutions for this model are proved,and the numerical model is also testified.Compared with the TV diffusion,this model preferably reduces the staircase appearing in the restored images.

关 键 词：image restoration deblurring-denoising integro-differential equation weak solution 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]