基于广义Gray码和DCT-SVD的数字水印算法研究

Research on Digital Watermark Algorithm Based on Generalized Gray Code and DCT-SVD

摘要: 本文提出一种基于广义Gray码、离散余弦变换与奇异值分解的数字水印算法，有效提升了水印的鲁棒性。该算法先对水印信息实施广义Gray码变换，后通过分块离散余弦变换和奇异值分解，将水印嵌入到载体图像中频段的奇异值里。实验结果表明，相较于已有算法，该算法在JPEG压缩、噪声干扰、裁剪、旋转等多种攻击下，归一化相关系数表现更优，具备更强的鲁棒性。

Abstract: A digital watermark algorithm is proposed based on generalized Gray code, discrete cosine transform (DCT), and singular value decomposition (SVD), which effectively improves the robustness of the watermark. The algorithm first performs generalized Gray code transformation on the watermark information, and then embeds the watermark into the singular values of the medium frequency in the carrier image through block wise discrete cosine transform and singular value decomposition. The experimental results show that compared with existing algorithms, this algorithm performs better in normalizing correlation coefficients and has stronger robustness under various attacks such as JPEG compression, noise interference, cropping, and rotation.