基于哈达玛变换和奇异分解的四个彩色图像水印算法

Watermarking algorithm for four color images based on Hadamard transform and singular value decomposition

针对在某一数字产品中仅仅嵌入一种水印已经不能满足人们要求的问题,基于哈达玛变换的正交原理和奇异分解(SVD)的相对稳定性等优点,提出了一种在基于离散小波变换离散余弦变换(DWT-DCT)域上利用哈达玛变换和SVD实现4个彩色图像水印同时嵌入的算法。先利用哈达玛变换,使4个水印成为1个水印,再将该水印进行SVD。原载体图像先进行DWT和DCT,再进行SVD和水印嵌入。仿真结果表明,该方法不但可以同时嵌入多个水印,而且具有很强的鲁棒性。

Because embedding only one kind of watermark in digital products can not satisfy people＇s demand anymore, in this paper, based on the orthogonality principle of Hadamard transform and the relative stability of Singular Value Decomposition （SVD） and so on, a digital watermarking algorithm for four color images using Hadamard transform and SVD in Discrete Wavelet Transform-Discrete Cosine Transform （DWT-DCT） domain was proposed. First, the four watermarking images were processed by Hadamard transform in order to become one watermark, and the one watermarking was transformed by SVD. The original image was transformed by DWT, DCT and SVD. Then the image was embedded by watermarking. Tests show that the algorithm not only can embed multi-watermarking at the same time to improve inbuilt information quantity, but also has a very strong robustness.