基于范数与范数均值比较的印刷防伪水印算法  

A Watermarking Algorithm for Print Forgery Prevention Based on Comparison between Norm and Mean of Norm

作　　者：叶天语[1] 

机构地区：[1]浙江工商大学信息与电子工程学院,杭州310018

出　　处：《光电工程》2011年第6期126-133,共8页Opto-Electronic Engineering

基　　金：浙江省教育厅项目(Y201017916)

摘　　要：现有印刷防伪水印算法在原始图像中嵌入水印,其不可见性有待改进,而且缺乏对抵抗二次打印-扫描的研究。针对这些问题,本文利用范数与范数均值比较提出一种印刷品防伪水印算法。算法对原始图像进行离散小波变换,将小波低频逼近子带分割成互不重叠的子块,对每个子块进行奇异值分解,判断各个子块的奇异值矩阵范数与所有子块奇异值矩阵范数的均值之间的大小关系产生零水印序列。算法实质上没有对原始图像做任何改动,具有非常好的不可见性。实验结果表明,算法能够抵抗一次和二次打印-扫描攻击。At present,those existing watermarking algorithms for print forgery prevention always embed watermarks into original images,and their invisibility needed to be improved.Moreover,they had never studied their robustness against dual print-and-scan process.A watermarking algorithm for print forgery prevention was proposed to overcome those problems based on the comparison of numerical relationship between norm and mean of norm.It conducted discreet wavelet transformation on the original image,split its low frequency band into non-overlapping blocks,and conducted singular value decomposition on each block.The zero-watermark sequence was derived from judging the numerical relationship between singular matrix＇s norm from each block and mean of singular matrix＇s norm form all blocks.It has perfect visibility due to no alteration made to the original image.The experimental results show that it has the ability to resist both single print-and-scan process and dual print-and-scan process.

关 键 词：数字水印 印刷品防伪 零水印 范数 打印-扫描 

分 类 号：TN911.7[电子电信—通信与信息系统]