Non-Blind Image Deblurring via Shear Total Variation Norm  

作　　者：LI Weiyu ZHANG Tao GAO Qiuli 

机构地区：[1]School of Microelectronics and Data Science,Anhui University of Technology,Maanshan 243032,Anhui,China

出　　处：《Wuhan University Journal of Natural Sciences》2024年第3期219-227,共9页武汉大学学报（自然科学英文版）

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

摘　　要：In this paper, we propose a novel shear gradient operator by combining the shear and gradient operators. The shear gradient operator performs well to capture diverse directional information in the image gradient domain. Based on the shear gradient operator, we extend the total variation(TV) norm to the shear total variation(STV) norm by adding two shear gradient terms. Subsequently, we introduce a shear total variation deblurring model. Experimental results are provided to validate the ability of the STV norm to capture the detailed information. Leveraging the Block Circulant with Circulant Blocks(BCCB) structure of the shear gradient matrices, the alternating direction method of multipliers(ADMM) algorithm can be used to solve the proposed model efficiently. Numerous experiments are presented to verify the performance of our algorithm for non-blind image deblurring.

关 键 词：image deblurring shear total variation(STV)norm alternating direction method of multipliers(ADMM) Block Circulant with Circulant Blocks(BCCB)matrix 

分 类 号：TP751[自动化与计算机技术—检测技术与自动化装置]