报告题目 (Title)：Saturation-Value Total Variation and Applications（饱和度全变分和应用）
报告人 (Speaker)： 王伟 副教授（同济大学）
报告时间 (Time)：2023年11月13日(周一) 13:00
报告地点 (Place)：校本部 F420
邀请人(Inviter)：彭亚新 教授
主办部门：永利数学系
报告摘要：Color image restoration is one of the important tasks in color image processing. Total variation regularization was proposed and employed for the recovery of edges in a grayscale image. In the literature, there are several methods for extension of total variation regularization for color images, for example, based on color channel coupling and tensor regularization. In this talk, I will introduce a new saturation-value (SV) color total variation regularization in the hue, saturation, and value color space instead of in the original red, green, and blue color space. The development of this SV total variation can be studied via the representation of color images in the quaternion framework. I will introduce the properties of the SV total variation regularization and the resulting optimization models for color image processing.
