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基于非下采样剪切波变换和QR分解的鲁棒零水印算法
引用本文:韩绍程,张兆宁,张玉金. 基于非下采样剪切波变换和QR分解的鲁棒零水印算法[J]. 光电子.激光, 2012, 0(10): 1957-1964
作者姓名:韩绍程  张兆宁  张玉金
作者单位:中国民航大学基础实验中心;中国民航大学空中交通管理学院;上海交通大学电子工程系
基金项目:国家自然科学基金(71171190);中国民航大学科研基金(2012KYE02)资助项目
摘    要:针对数字图像的版权保护问题,提出了一种基于非下采样剪切波变换(NSST,non-subsam-pled shearlet transform)和QR分解的零水印算法。首先,采用NSST对宿主图像进行分解;然后利用Logistic混沌系统从分解后的低频逼近分量中随机抽取出一幅子图,并将其分割成互不重叠的子块;最后对每一个子块进行QR分解,通过判断各个子块R矩阵中第1行元素向量的l1范数和所有子块R矩阵第1行元素向量l1范数的均值之间的大小关系构造零水印。实验结果表明,本文算法对添加噪声、滤波、JPEG压缩和剪切具有很强的鲁棒性,同时还能抵抗一定程度的旋转、缩放和平移(RST)几何攻击。

关 键 词:数字图像  非下采样剪切波变换(NSST)  QR分解  零水印

Robust zero-watermark algorithm based on non-subsampled shearlet transform and QRdecomposition
HAN Shao-cheng,ZHANG Zhao-ning and ZHANG Yu-jin. Robust zero-watermark algorithm based on non-subsampled shearlet transform and QRdecomposition[J]. Journal of Optoelectronics·laser, 2012, 0(10): 1957-1964
Authors:HAN Shao-cheng  ZHANG Zhao-ning  ZHANG Yu-jin
Affiliation:Basic Experimental Center,Civil Aviation University of China,Tianjin 300300,China;Air Traffic Management College,Civil Aviation University of China,Tianjin 300300,China;Department of Electronic Engineering,Shanghai Jiaotong University,Shanghai 200240,China
Abstract:A novel zero-watermark algorithm is proposed based on non-subsampled shearlet transform(NSST) and QR decomposition for copyright protection of digital images.In this method,the host image is processed with NSST firstly,and a sub-image is extracted from the low-frequency component randomly by the Logistic chaotic system.Then the sub-image is divided into non-overlapping sub-blocks,and each sub-block is processed with QR decomposition,so the zero-watermark is derived by judging the numerical relationship between vector l1 norm from the first row elements of each sub-block’s R-matrix and the mean of vector l1 norms from the first row elements of all sub-blocks’ R-matrices.Experimental results show that the method is very robust to adding noise,filtering,JPEG compression and cropping,and can resist on the geometrical attack of rotation,scaling and translations(RST) to some extent.
Keywords:digital image  non-subsampled shearlet transform(NSST)  QR decomposition  zero-watermark
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