报告题目：A New Cross-Space Total Variation Regularization Model for Color Image Restoration with Quaternion Blur Operator

报 告 人：贾志刚教授（江苏师范大学）

报告地点：广东工业大学龙洞校区行政楼610

报告时间：2024年12月5日星期四：10:00-11:00

主 持 人：刘冬冬

报告摘要：The cross-channel deblurring problem in color image processing is difficult to solve due to the complex coupling and structural blurring of color pixels. Until now, there are few efficient algorithms that can reduce color artifacts in deblurring process. To solve this challenging problem, we present a novel cross-space total variation (CSTV) regularization model for color image deblurring by introducing a quaternion blur operator and a cross-color space regularization functional. The existence and uniqueness of the solution is proved and a new L-curve method is proposed to find a balance of regularization terms on different color spaces. The Euler-Lagrange equation is derived to show that CSTV has taken into account the coupling of all color channels and the local smoothing within each color channel. A quaternion operator splitting method is firstly proposed to enhance the ability of color artifacts reduction of the CSTV regularization model. This strategy also applies to the well-known color deblurring models. Numerical experiments on color image databases illustrate the efficiency and effectiveness of the new model and algorithms. The color images restored by them successfully maintain the color and spatial information and are of higher quality in terms of PSNR, SSIM, MSE and CIEde2000 than the restorations of the-state-of-the-art methods.

个人简介：贾志刚 ，江苏师范大学数学与统计学院、数学研究院，教授。2009年毕业于华东师范大学数学系，获理学博士学位；2017年晋升教授；2023年入选江苏高校“青蓝工程”中青年学术带头人；2024年起担任 Numerical Algorithms 期刊编委。主要研究方向为数值代数与图像处理，至今已在IEEE Trans. Image Process.，SIAM J. Matrix Anal. Appl., SIAM J. Sci. Comput., SIAM J. Imaging Sci. 等期刊上发表学术论文40余篇，在科学出版社出版英文专著1部（独立作者），主持国家自然科学基金项目3项（青年1项、面上2项）和省高校自然科学研究重大项目1项，参加国家自然科学基金重大项目和国家重点研发计划课题各1项。2023 年荣获江苏省高等学校科学技术研究成果奖（自然科学奖）三等奖 (排名1/5)和第十届淮海科学技术奖（科技创新奖）一等奖(排名1/8)。曾先后到英国曼彻斯特大学、北京大学、香港浸会大学、澳门大学、复旦大学等高校进行学术访问。