A Second-Order Image Denoising Model for Contrast Preservation  

作　　者：Wei Zhu 

机构地区：[1]Department of Mathematics,University of Alabama,Box 870350,Tuscaloosa,AL,35487,USA

出　　处：《Communications on Applied Mathematics and Computation》2024年第2期1406-1427,共22页应用数学与计算数学学报（英文）

摘　　要：In this work,we propose a second-order model for image denoising by employing a novel potential function recently developed in Zhu(J Sci Comput 88:46,2021)for the design of a regularization term.Due to this new second-order derivative based regularizer,the model is able to alleviate the staircase effect and preserve image contrast.The augmented Lagrangian method(ALM)is utilized to minimize the associated functional and convergence analysis is established for the proposed algorithm.Numerical experiments are presented to demonstrate the features of the proposed model.

关 键 词：Image denoising Variational model Image contrast Augmented Lagrangian method(ALM) 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程] TP391.41[自动化与计算机技术—控制科学与工程]