【摘要】 针对数字产品的版权保护问题,提出了一种基于矩阵范数分析的自适应数字水印算法。算法将载体图像分为8×8不重复块并进行DCT变换,根据8×8模板对每个分块的低、高频数据分别组成新矩阵并进行SVD分解。结合人眼视觉特性和矩阵范数理论推导结果求解对应的块能量确定嵌入位置。水印信息选择在摸板的低频区矩阵的奇异值分解的首个值中,嵌入强度随块能量比自动调节。理论分析和实验结果表明,该算法不仅具有较好的透明性,而且对常见攻击如高斯噪声、JPEG压缩、滤波以及几何攻击等具有较好的稳健性。更多还原

【Abstract】 An adaptive digital watermarking algorithm based on matrix norm analysis is proposed about copyright protection of the digital products.In the algorithm,unrepeatable block with size of 8×8 is performed on the given image,and then discrete cosine transform(DCT) is made.According to the 8×8 templates,a new matrix is respectively formed by each block of low,high-frequency data and singular value decomposition(SVD).Human visual characteristics and matrix norm theory analysis are combined with to solve the corresponding block energy in order to determine the embedding position.The watermark information is embedded in the first value of singular value decomposition about the low-frequency area of matrix,and embedding strength is automatically adjustable with block energy.Theoretical analysis and experimental results show that the new watermarking scheme has a good transparence of embedded watermark image and is robust against attacks such as Gaussian noise,filtering,JPEG compression and geometric distortion.更多还原