摘要
该文提出一种结合四元数变换域和四元数分解方法的整体式彩色图像水印算法。首先对彩色载体图像进行分块四元数傅里叶变换得到其频域矩阵,然后对频域单位小块进行四元数奇异值分解,根据分解得到四元数酉矩阵前若干列中对角线元素的幅值构造水印序列,并将水印隐藏到分解得到的实系数奇异值中。仿真实验表明,该文提出的水印方法不仅可以把嵌入水印带来的误差扩散到载体图像的各个颜色分量上,而且比传统的将彩色图像划分为各个单独色彩通道,分别进行水印嵌入的方法不可见性更好,并且,通过构造与奇异值酉矩阵相关的水印序列可以有效解决现有四元数水印算法存在的误检测率以及水印图像易伪造问题。
This paper presents a blind color image watermarking scheme using the combination of the holistic transformation of Quaternion Fourier Transformation （QFT） and Quaternion Singular Value Decomposition （QSVD）. The host image is first divided into blocks followed by taking the QFT of each block. Then design watermarks that use the diagonal elements of the two unitary matrices obtained from the followed QSVD of each block and add the watermarks into the singular values of each block. The specially designed watermarks strongly improve the false positive rate of randomly selected images. The real singular values got from QSVD contain both luminance and chrominance information of the color image that ensure the watermarks to spread into all color components in the spatial domain. Experimental results demonstrate that the proposed watermarking scheme performs better than traditional multi-channel watermarking scheme and the existing quaternion-based watermarking scheme in imperceptibility and false positive rate of randomly selected images respectively.
出处
《电子与信息学报》
EI
CSCD
北大核心
2012年第10期2389-2395,共7页
Journal of Electronics & Information Technology
基金
国家自然科学基金(60973128)资助课题
关键词
数字水印
四元数
奇异值分解
误检率
Digital watermarking
Quaternion
Singular value decomposition
False positive rate
