摘要
针对传统零水印算法在不同强度攻击下的鲁棒性和稳定性差等问题,利用Curvelet变换和奇异值分解的稳定、高效和近乎最优的表示性能,提出一种基于Curvelet-DWT-SVD的零水印算法。首先,将载体图像分成互不重叠的子块;其次,每一子块进行Arnold置乱和Curvelet变换得到各个子块的粗尺度层Curvelet系数;然后,将Curvelet系数进行小波变换得到细尺度的小波系数,并将其分块处理;同时对各个子块进行奇异值分解,并根据各个子块的最大奇异值构造特征矩阵;最后,将预处理后的版权水印与特征矩阵进行异或操作生成零水印。实验结果表明,该算法对于噪声攻击、压缩攻击、滤波攻击和剪切攻击等具有很好的鲁棒性,是一种可靠、鲁棒性强的零水印算法。
Aiming at the problem of poor robustness and stability of traditional zero-watermarking algorithm under different attack intensity,Curvelet transform and singular value decomposition are used to obtain stable,efficient and near-optimal representation performance,a zero watermarking algorithm based on Curvelet-DWT-SVD is proposed.Firstly,the carrier image is divided into non-overlapping sub-blocks.Secondly,each sub-block is scrambled by Arnold and transformed by curvelet wave to get coarse-scale layer curvelet wave coefficients of each sub-block.Then,the wavelet transform is used to get the fine-scale wavelet coefficients,and the sub-blocks are divided into blocks.The feature matrix is constructed according to the maximum singular value of each sub-block.Finally,the pre-processed copyright watermarking and the feature matrix are XOR operated to generate zero watermark.Experimental results show that the algorithm is robust to noise attack,compression attack,filtering attack and cropping attack,and it is a reliable and robust zero-watermarking algorithm.
作者
吴德阳
唐勇
赵伟
宛月茶
曲长波
WU Deyang;TANG Yong;ZHAO Wei;WAN Yuecha;QU Changbo(School of Information Engineering and Technology,Yanshan University,Qinhuangdao,Hebei 066004,China;The Hebei Province Key Laboratory of Computer Virtual Technology and System Integration,Qinhuangdao,Hebei 066004,China;College of Software,Liaoning Technical University,Huludao,Liaoning 125000,China)
出处
《燕山大学学报》
CAS
北大核心
2020年第1期38-48,共11页
Journal of Yanshan University
基金
河北省自然科学基金资助项目(F2018203060)
秦皇岛市科学技术研究与发展计划项目(201602A018)
关键词
CURVELET变换
小波变换
奇异值分解
零水印
curvelet transform
wavelet transform
singular value decomposition
zero watermarking
