曲波的多分辨率分析及其在图像水印中的应用  

The Multiresolution of Curvelet and Application In the Image Watermarking Domain

作　　者：庞慧敏[1] 徐金东[1] 赵建平[1] 张洋洋[1] 

机构地区：[1]曲阜师范大学物理工程学院,山东省曲阜市273165

出　　处：《曲阜师范大学学报（自然科学版）》2011年第4期58-62,共5页Journal of Qufu Normal University(Natural Science)

基　　金：国家自然科学基金项目(60602035);曲阜师范大学基金(XJ201010)

摘　　要：介绍了多分辨率分析中的一种"最优"图像表示方法——曲波变换,分析了变换系数的特征,总结了曲波变换在数字图像水印领域的应用研究现状.提出了一种基于快速曲波变换的多分辨率图像水印算法,将二值水印图像进行曲波变换,然后嵌入到载体图像相同分辨率的曲波系数中.实验结果表明,该算法简单可行,具有良好的不可见性,且对JPEG压缩、加噪、滤波、剪切、旋转等攻击具有好的鲁棒性.A multiresolution image representation method,curvelet,which is considered as ＂Optimalizing＂,is introduced.The characteristics of curvelet are analyzed,and the application and research status of curvelet in the watermarking domain are summarized.On that basis,a new multiresolution watermarking algorithm based on fast Curvelet transform is proposed.It embed multiresolution watermark of a binary image into the same resolution curvelet coefficients of the carrier Image.Experiment results show that the scheme is simple and effective,and it is invisibility and robust against various signal processing such as JPEG compression,noise adding,filter,cropping,and so on.

关 键 词：曲波变换 数字图像水印 多分辨率分析 鲁棒性 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]