汇报标题 (Title)：Saturation-Value Total Variation and Applications（鼓和度全变分和利用）
汇报人 (Speaker)： 王伟 副教授（同济大学）
汇报功夫 (Time)：2023年11月13日(周一) 13:00
汇报地址 (Place)：校本部 F420
约请人(Inviter)：彭亚新 教授
主办部门：理学院数学系
汇报提要：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.
