基于Contourlet奇异值分解的强鲁棒数字水印算法

Strong Robust Digital Watermark Algorithm Based on Contourlet Singular Value Decomposition

在奇异值分解的数字水印技术中,为改善水印系统的鲁棒性并解决水印虚警问题,提出一种奇异值分解强鲁棒数字水印算法。将原始载体图像进行Contourlet变换,对变换后的低频系数运用块奇异值分解,选择水印图像左奇异矩阵和奇异值矩阵的乘积作为水印主成分,通过修改每个子块的最大奇异值,嵌入水印图像的主成分。实验结果表明,该算法不但可以有效解决水印虚警问题,而且在保证透明性的同时具有较强的鲁棒性。

In digital watermark technology of Singular Value Decomposition （SVD） , to improve the robustness and solve the problem of watermark false alarm errors,an improved SVD strong robust watermark algorithm is proposed. The original image is decomposed using Contourlet Transformation （CT） and block SVD is performed on low-frequency coefficients. The product of left singular matrix and singular value matrix is selected as the principal components of the watermark, which are embedded by modifying the largest singular value of each sub-block. Experimental results show that the algorithm not only solves watermark false alarm errors, but also enhances the robustness to a certain extent on the condition of ensuring the transparency of the watermark.