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基于的DTV图像去噪模型
庞志峰, 张慧丽, 史宝丽     
河南大学 数学与统计学院, 开封 475004
摘要: 针对纹理图像的去噪问题,通过分析全变分(TV)去噪模型与方向全变分(DTV)去噪模型,提出了一种具有鲁棒性的基于的DTV去噪模型。为了刻画图像中的不同结构特征,该模型中DTV正则项的指数p由图像的结构来确定在(0,2)中自适应地选取。由于该模型是含有可分性算子的非光滑优化问题,可用交替方向乘子法(ADMM)求解,并能保证算法的收敛性。数值实验结果表明:与其他经典模型相比,提出的模型取得了更高的峰值信噪比和结构相似度,在去除噪声的同时能有效保持图像的细节信息。
关键词: 交替方向乘子法(ADMM)     方向全变分(DTV)模型     图像去噪     (拟)范数图像去噪     ROF模型    
Image denoising model based on directional total variation
PANG Zhifeng, ZHANG Huili, SHI Baoli     
School of Mathematics and Statistics, Henan University, Kaifeng 475004, China
Received: 2018-06-04; Accepted: 2018-09-03; Published online: 2018-09-11 16:18
Foundation item: National Basic Research Program of China (2015CB856003); National Natural Science Foundation of China (11401170, U1304610); Engineering Mathematical Modeling and Analysis, Foundation for Key Laboratory of Hunan Province (Changsha University of Science and Technology); Henan University Excellent Youth Cultivation Project (yqpy20170062)
Corresponding author. PANG Zhifeng, E-mail:zhifengpang@163.com
Abstract: For the problem of texture image denoising, by analyzing the advantages and disadvantages of the total variation (TV) denoising model and the directional total variation (DTV) denoising model, we propose a robust denoising model based on directional total variation. In the proposed model, in order to efficiently characte