基于奇异值分解的同态可交换脆弱零水印研究  

Homomorphic and Commutative Fragile Zero-watermarking Based on SVD

作　　者：任花 牛少彰[1] 王茂森 岳桢 任如勇 REN Hua;NIU Shao-zhang;WANG Mao-sen;YUE Zhen;REN Ru-yong(School of Computer,Beijing University of Posts and Telecommunications,Beijing 100876,China;Southeast Digital Economic Development Institute,Quzhou,Zhejiang 324000,China;Modern Educational Technology Center,Henan Normal University,Xinxiang,Henan 453007,China)

机构地区：[1]北京邮电大学计算机学院,北京100876 [2]东南数字经济发展研究院,浙江衢州324000 [3]河南师范大学现代教育技术中心,河南新乡453007

出　　处：《计算机科学》2022年第3期70-76,共7页Computer Science

基　　金：国家自然科学基金(61370195);国家自然科学基金联合基金(U1536121)。

摘　　要：现有的水印和加密方案大多难以确保水印和加密过程的交换性以及受保护图像的视觉质量,这些方案的水印嵌入和加密过程固定且对受保护图像的内容进行了或多或少的修改,很少有方案在不影响受保护图像内容质量的前提下完成水印和加密过程的交换。因此,提出了一种基于奇异值分解的同态可交换脆弱零水印方案。在发送端,内容所有者采取同态加密对原始图像内容进行加密,加密和水印生成两个阶段互不影响,可以分别从加密图像和原始宿主图像生成零水印信息。在接收端,合法接收者先进行图像解密,再在解密的图像内容上进行水印检测,通过提取的水印信息可以检测和定位水印图像的蓄意篡改区域。实验结果表明,零水印的引入不会造成图像灰度值的改变,在确保交换性的同时可以完美定位图像篡改区域。Most of the existing watermarking and encryption schemes are difficult to ensure the commutativity of watermarking and encryption as well as the visual quality of the protected image.These schemes complete watermark embedding and image encryption processes in a fixed order,and they modify the protected image content more or less.Few of them complete the commutativity of watermarking and encryption process without affecting the quality of the protected image content.Therefore,a homomorphic and commutative fragile zero-watermarking based on SVD(singular value decomposition)is proposed.At the sender side,the content owner adopts homomorphic modular encryption to encrypt the original image content,and the two stages of image encryption and watermarking generation do not affect each other.The zero-watermarking information can be generated from the encrypted image and the original host image,respectively.At the receiver end,the legitimate receiver first decrypts the image and then performs watermarking detection on the decrypted image content,and the extracted watermarking information can detect and locate the deliberately tampered area of the watermarked image.Experimental results confirm that the use of zero-watermarking will not lead to gray level value alteration of the image content,and the deliberately tampered area of the watermarked image can be located perfectly while ensuring the commutativity.

关 键 词：交换性 同态加密 零水印 奇异值分解 脆弱性 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]