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四进制小波变换与SVD相结合的水印算法
引用本文:张颖,WEN Xianbin,许学全. 四进制小波变换与SVD相结合的水印算法[J]. 天津师范大学学报(自然科学版), 2008, 28(3): 71-73
作者姓名:张颖  WEN Xianbin  许学全
作者单位:天津理工大学,计算机科学与技术学院,天津,300191;天津市"智能计算及软件新技术"重点实验室,天津,300191
基金项目:国家自然科学基金项目(60375003).天津市自然科学基金项目(08JCYBJC12300).天津市高校科技发展基金项目
摘    要:利用四进制小波变换的多频段特性和奇异值分解的稳定性以及临近像素的相似性,提出了四进制小波与奇异值分解SVD相结合的水印算法,实现了水印数据的嵌入.首先,宿主图像进行四进制小波变换;其次,对低频区域进行分块,计算各个分块的均值,并将这些均值存储在一个矩阵中,对此矩阵进行奇异值分解;最后,在分解所得矩阵中嵌入水印数据.该方法的水印提取不需要原始载体图像和原始水印图像.实验验证了该算法的不可见性,并对常见的攻击具有很强的鲁棒性.

关 键 词:数字水印  嵌入算法  四进制小波变换  奇异值分解

The watermark algorithm based on the combination of quaternary system wavelet transform and singular value decomposition
ZHANG Ying,WEN Xianbin,XU Xuequan. The watermark algorithm based on the combination of quaternary system wavelet transform and singular value decomposition[J]. Journal of Tianjin Normal University(Natural Science Edition), 2008, 28(3): 71-73
Authors:ZHANG Ying  WEN Xianbin  XU Xuequan
Affiliation:ZHANG ging , WEN Xianbin , XU Xuequan (1. School of Computer Science and Technology, Tianjin University of Technology, Tianjin 300191, China; 2. Tianjin Key Laboratory of Intelligence Computing and Novel Software Technology, Tianjin 300191, China)
Abstract:By using the feature of multi-band frequency of quaternary system wavelet transform,the stability of singular value decomposition and the similarity of approached pixels,the watermark algorithm based on the combination of quaternary system wavelet transform and singular value decomposition is proposed,and the watermark data is embedded.Firstly,quaternary system wavelet transform is applied to the host image.Secondly,the low-frequency area is decomposed into blocks,the mean value of every block is worked out and stored in a matrix then singular value decomposition is applied to the matrix.Finally,the watermark data is embedded in the decomposed matrix.The experiment verifies the nonvisibility of the algorithm and its robustness to common attacks.
Keywords:watermark  embedded technology  quaternary system wavelet transform,singular value decomposition
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