基于Tucker分解和双置乱加密的立体图像零水印算法  

Stereo image zero watermarking algorithm based on Tucker decomposition and double scrambling encryption technology

作　　者：韩绍程 张鹏 刘欢 王博 HAN Shao-cheng;ZHANG Peng;LIU Huan;WANG Bo(Engineering Technology Training Center,Civil Aviation University of China,Tianjin 300300,China;Tianjin Pinyuan Technology Co.,Ltd,Tianjin 300300,China;College of Electronic Information and Automation,Civil Aviation University of China,Tianjin 300300,China)

机构地区：[1]中国民航大学工程技术训练中心,天津300300 [2]天津品源科技有限公司,天津300300 [3]中国民航大学电子信息与自动化学院,天津300300

出　　处：《吉林大学学报（工学版）》2024年第4期1065-1077,共13页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金项目(62172418);天津市应用基础研究多元投入重点项目(21JCZDJC00830);中央高校基本业务费专项项目(3122022077)。

摘　　要：针对立体图像版权保护和现有零水印方案抵御几何攻击鲁棒性能欠佳的问题,提出了一种新的基于Tucker分解和分数阶Jacobi-Fourier矩(FJFM)的彩色立体图像抗几何攻击零水印算法。首先对原始彩色立体图像的左、右视点分别进行R、G、B通道分离,接着将分离后的6个通道联合并视作一个三阶张量进行Tucker分解,获得包含左、右视点相关性的第一能量图;然后计算该能量图4×4非重叠分块后均值子图的FJFM混合低阶矩特征,并利用该特征构造二值鲁棒特征矩阵;最后将经过双重置乱加密后的原始水印和混沌排序置乱后的特征矩阵进行异或操作,得到最终的认证零水印。实验结果表明,本文算法对添加噪声、滤波、压缩等常见非几何攻击均表现出很强的鲁棒性,水印检测NC值均在0.98以上;在抵抗旋转、缩放、平移和剪切几何攻击性能方面整体优于对比算法。Aiming at the problems of stereo image copyright protection and the poor robustness of existing zero watermarking schemes against geometric attacks,a novel zero watermarking algorithm against geometric attacks is proposed for color stereo image based on Tucker decomposition and Fractional-order Jacobi-Eourier Moments(FJFM).Firstly,the R,G and B channels of the left and right views of the original color stereo image are separated respectively.Then,the separated six channels are combined and treated as a third-order tensor for Tucker decomposition to obtain the first energy map containing the correlation between the left and right views.Secondly,the mixed low-order moment feature(MLMF)of the mean sub-image obtained by 4×4 non-overlapping blocking to the first energy map is calculated based on FJFM.Then the binary robust feature matrix is constructed according to the MLMF.Finally,the final authentication zero watermark is generated using the exclusive-or operation between the watermark encrypted by the double scrambling and encryption methods and the feature matrix scrambled using the proposed chaotic system.Experimental results show that the proposed algorithm shows strong robustness to the common non-geometric attacks such as adding noise,filtering and compression,and the NC values of watermark detection are more than 0.98.In addition,the proposed algorithm is overall superior to the comparison algorithms in resisting rotation,scaling,translation and the cropping geometric attacks.

关 键 词：零水印 立体图像 几何攻击 Tucker分解 分数阶Jacobi-Fourier矩 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]