基于BEMD和DFT的遥感图像零水印算法  

Zero-Watermarking Algorithm for Remote Sensing Image via BEMD and DFT

作　　者：徐依朋 胡坤 王小超 胡建平[3] Xu Yipeng;Hu Kun;Wang Xiaochao;Hu Jianping(School of Mathematical Sciences,Tiangong University,Tianjin 300387;Shenzhen International Graduate School,Tsinghua University,Shenzhen 518055;School of Science,Northeast Electric Power University,Jilin 132012)

机构地区：[1]天津工业大学数学科学学院,天津300387 [2]清华大学深圳国际研究生院,深圳518055 [3]东北电力大学理学院,吉林132012

出　　处：《计算机辅助设计与图形学学报》2022年第11期1731-1741,共11页Journal of Computer-Aided Design & Computer Graphics

基　　金：天津市高等学校基本科研业务费(2018KJ222);浙江大学CAD&CG国家重点实验室开放课题(A2105)。

摘　　要：为了解决传统图像水印算法对遥感图像进行版权保护时修改宿主图像的问题,并提升遥感图像水印算法的鲁棒性,提出一种基于二维经验模态分解(BEMD)和离散傅里叶变换(DFT)的遥感图像零水印算法.首先利用BEMD对宿主图像进行多尺度分解,得到内蕴模态函数和余量,并对余量信息进行8×8分块DFT,将高频系数构建成系数图像;然后使用Arnold变换对水印图像进行置乱处理,提高水印图像的安全性;再调整水印图像大小,解决水印嵌入过程中宿主图像和水印图像在图像尺寸匹配上的问题;最后将DFT分解的系数图像和水印图像进行异或操作构建特征图像,实现遥感图像零水印的构建.选取大量遥感图像和水印图像进行实验,结果表明,所提算法能有效地抵抗各类滤波、锐化、直方图均衡、伽马变换、噪声以及缩放等攻击.在12种攻击60种参数情况下,提取的水印图像95.0%与原始水印图像的归一化相关系数值超过0.990.与传统遥感图像水印算法相比,所提算法保证了宿主图像的无损性,使保存在公证机构用来版权保护验证的特征图像不会对宿主图像造成任何破坏,并具有较好的鲁棒性.In order to solve the problem of modifying the host image when the traditional image watermarking algorithm protects the copyright of remote sensing image,and to improve the robustness of remote sensing image watermarking algorithm,a remote sensing image zero watermarking algorithm based on bi-dimensional empirical mode decomposition(BEMD)and discrete Fourier transform(DFT)is proposed.Firstly,BEMD is used to decompose the host image to get the intrinsic mode function and margin,and the residual information is divided into 8×8 blocks DFT,and the high frequency coefficients are constructed into coefficient images.Then Arnold transform is used to scramble the watermark image to improve the security of the watermark image.Then the size of the watermark image is adjusted to solve the problem of image size matching between the host image and the watermark image in the process of watermark embedding.Finally,the coefficient image decomposed by DFT and the watermark image are constructed into feature image by XOR operation,and the construction of zero watermark in remote sensing image is realized.The experimental results of a large number of remote sensing images and watermark images show that the proposed algorithm can effectively resist all kinds of attacks such as filtering,sharpening,histogram equalization,Gamma transform,noise,scaling and so on.In the case of 12 attacks and 60 parameters,95.0%of the extracted watermark images have a normalized correlation value of more than 0.990 with the original watermark image,compared with the traditional remote sensing image watermarking algorithm.The algorithm ensures the harmlessness of the host image,so that the feature image saved in the notary office for copyright protection verification will not cause any damage to the host image,and has better robustness.

关 键 词：二维经验模态分解 离散傅里叶变换 零水印 遥感图像 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]