一种新的彩色图像盲水印算法*

在探讨了四元数及四元数矩阵奇异值分解性质的基础上，用四元数矩阵来表示彩色图像，彩色图像的每个像素用一个四元数来表示，从而实现了将彩色图像的各个分量作为一个整体进行运算的思想；对彩色图像的四元数矩阵奇异值分解后的性质进行了研究，得出将四元数矩阵分解的方法用于彩色图像水印的嵌入和提取的可行性，并提出一种基于四元数矩阵奇异值分解、旋转和共轭运算的彩色图像盲水印算法进行验证。通过实验和对比表明，该算法具有良好的性能，能较好地抵抗常见的攻击。

New color image blind watermarking algorithm

This paper proposed a new color image blind watermarking technology which used the properties of the quaternion matrix. It represented the image in the form of quaternion matrix with the considering the multi-channel characteristic of color image. Then discussed many important properties of quaternion matrix singular value decomposition with several experiments to find the best field to embed the watermarking information. Fortunately, the field of QSVD transformation was very feasible to carry the watermark information. Then depicted a blind watermarking algorithm which used the conjugate and rotation to embed the watermarking information into the field of QSVD transformation. The experimental results indicate that the algorithm has good performance under many attacks.