摘要
针对已提出的奇异值分解域鲁棒水印算法往往将水印嵌入在奇异值矩阵的奇异值上,利用奇异值分解产生的两个正交矩阵提出一种基于方差的鲁棒零水印算法.将图像分割成互不重叠的子块,对每个子块进行奇异值分解,通过判断每个子块U矩阵第一列元素平方的方差与V矩阵第一列元素平方的方差之间的大小关系产生零水印序列.算法实质上没有对原始图像做任何修改,具有非常好的不可见性.算法进行抵抗重采样、平滑处理、加噪音和JPEG压缩攻击实验测试鲁棒性.实验结果表明该算法在以上攻击中表现出很强的鲁棒性.
Those existing robust watermarking algorithm in singular value decomposition domain always inserts an watermark into singular values from singular value matrix.A robust zero-watermarking algorithm based on variance was proposed,using two orthogonal matrices deriving from singular value decomposition.The image was split into non-overlapping blocks,and each block was transformed with singular value decomposition.The zero-watermark sequence was produced by judging the numerical relationship between variance of each element′s square from the first column of U matrix and V matrix.It has perfect invisibility,since no modification has been made to the original image.Its robustness towards resampling,smoothing,noise adding and JPEG compression is tested.The experimental results show that it has strong robustness towards those above attacks.
出处
《光子学报》
EI
CAS
CSCD
北大核心
2011年第6期961-966,共6页
Acta Photonica Sinica
基金
浙江省教育厅项目(No.Y201017916)资助
关键词
数字水印
零水印
奇异值分解
方差
正交矩阵
Digital watermarking
Zero-watermarking
Singular value decomposition
Variance
Orthogonal matrix
