一种基于Fibonacci 系的数字水印新方法

摘要

Based on Fibonacci sequence, the article discusses a method of digital watermarking about anti-JPEG compression.The algorithm constructs the Fibonacci quantification table Q of quantified DCT coefficients and the coefficient modification table M of embedded in the watermark by means of the Fibonacci sequence,Fibonacci integer sequences, as well as the rabbit sequence S. It can be used to solve the conflict between image compression quality and the robustness of watermarking by changing the threshold value N of constructed M table. As the Fibonacci number increases progressively in the form of the golden section and the main principle of the JPEG compression is DCT transform, this algorithm has a very good robustness for anti-JPEG compression through constructed quantification table and the coefficient modified table to modify the DCT of DC component embed the watermark. The experimental results showed that when the threshold value of structured M table N = 7,the image compression quality IQ = 40%, and the correct rate of the watermark extraction using the algorithm can reach more than 90%.%本文基于Fibonacci数系,给出了一种抗JPEG压缩的数字水印算法.该算法利用Fibonacci数列、整数的Fibonacci表示以及兔子序列S,构造了量化DCT系数的Fibonacci量化表Q和嵌入水印的系数修改表M,通过改变构造M表的位阈值N能够方便地的解决图像压缩质量与水印的鲁棒性之间的冲突.由于Fibonacci数是呈黄金分割递增的,而JPEG压缩主要原理也是DCT变换,所以本算法通过构造的量化表和系数修改表来修改DCT直流分量嵌入水印,对于抗JPEG压缩有很好的鲁棒性.实验结论表明,当构造M表的位阈值N=7,图像压缩质量IQ=40％时,使用本算法提取水印的正确率能达到90％以上.