Non-Blind Image Deblurring Method Using Shear High Order Total Variation Norm  

作　　者：LU Lixuan ZHANG Tao 

机构地区：[1]School of Mathematics and Physics,Anhui University of Technology,Maanshan 243002,Anhui,China [2]Key Laboratory of Multidisciplinary Management and Control of Complex Systems of Anhui Higher Education Institutes,Anhui University of Technology,Maanshan 243002,Anhui,China

出　　处：《Wuhan University Journal of Natural Sciences》2021年第6期495-506,共12页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China(61701004);Outstanding Young Talents Support Program of Anhui Province(gxyq2021178);Open Fund of Key Laboratory of Anhui Higher Education Institutes(CS2021-07);Program of University Mathematics Teaching Research and Development Center(CMC20200301)。

摘　　要：In this paper,we propose a shear high-order gradient(SHOG)operator by combining the shear operator and high-order gradient(HOG)operator.Compared with the HOG operator,the proposed SHOG operator can incorporate more directionality and detect more abundant edge information.Based on the SHOG operator,we extend the total variation(TV)norm to shear high-order total variation(SHOTV),and then propose a SHOTV deblurring model.We also study some properties of the SHOG operator,and show that the SHOG matrices are Block Circulant with Circulant Blocks(BCCB)when the shear angle isπ/4.The proposed model is solved efficiently by the alternating direction method of multipliers(ADMM).Experimental results demonstrate that the proposed method outperforms some state-of-the-art non-blind deblurring methods in both objective and perceptual quality.

关 键 词：image deblurring high-order TV norm Block Circulant with Circulant Blocks(BCCB)matrix shear operator alternating direction method of multipliers(ADMM) 

分 类 号：TP751[自动化与计算机技术—检测技术与自动化装置]