On weak solutions for an image denoising-deblurring model |
| |
| Authors: | Hai-yang Huang Chun-yan Jia Zhong-dan Huan |
| |
| Institution: | School of Mathematical Sciences, Beijing Normal University; Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China |
| |
| Abstract: | 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. |
| |
| Keywords: | image restoration deblurring-denoising integro-differential equation weak solution |
| 本文献已被 维普 万方数据 SpringerLink 等数据库收录！ |
