基于压缩感知理论的图像水印算法
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摘要
水印技术是保障图像安全的一项重要技术,为了克服当前图像水印算法存在水印信息嵌入量小、抗攻击鲁棒性差的缺陷,设计了基于压缩感知理论的图像水印算法。首先采用小波变换对原始图像进行预处理,分解为不同频率的子图像,并采用压缩感知算法对高频子图像进行压缩处理,提高图像传输效率;然后采用混沌系统对水印信息进行处理,产生水印序列,并将水印序列嵌入到低频子图像中,最后采用小波变换对嵌入水印的低频子图像和压缩后的高频子图像进行融合,得到嵌放水印的载体图像,并可以采用压缩感知理论的重构算法提取水印信息。与数字图像水印算法进行了对比测试,结果明,本文算法大幅度改善了水印信息的嵌入量,嵌入水印合的载体具有良好的透明性,而且对各种攻击具有较好的鲁棒性,具有十分显著的优势。
Watermark is an important technology to ensure the security of the image. In order to overcome the shortcomings of the small watermark embedding and the poor robustness of the anti attack, the image watermarking algorithm based on the compression perception theory is designed to overcome the current image watermarking algorithm. Firstly, wavelet transform is used to preprocess the original image, decompose the sub image of different frequency, and compression processing of high frequency sub image by compression sensing algorithm to improve the efficiency of image transmission, and then the watermark information is processed with chaotic system, and the watermark sequence is produced, and the watermark sequence is embedded into the low frequency sub. In the image, the wavelet transform is used to fuse the low frequency subimage embedded in the watermark and the high frequency subimage after the compression to get the image of the embedded watermark, and the watermark information can be extracted by the reconstruction algorithm of the compressed sensing theory. Compared with the digital image watermarking algorithm, the results show that this algorithm greatly improves the embedding amount of watermark information. The embedded watermark carrier has good transparency, and has good robustness for various attacks, and has a very significant advantage.
Watermark is an important technology to ensure the security of the image. In order to overcome the shortcomings of the small watermark embedding and the poor robustness of the anti attack, the image watermarking algorithm based on the compression perception theory is designed to overcome the current image watermarking algorithm. Firstly, wavelet transform is used to preprocess the original image, decompose the sub image of different frequency, and compression processing of high frequency sub image by compression sensing algorithm to improve the efficiency of image transmission, and then the watermark information is processed with chaotic system, and the watermark sequence is produced, and the watermark sequence is embedded into the low frequency sub. In the image, the wavelet transform is used to fuse the low frequency subimage embedded in the watermark and the high frequency subimage after the compression to get the image of the embedded watermark, and the watermark information can be extracted by the reconstruction algorithm of the compressed sensing theory. Compared with the digital image watermarking algorithm, the results show that this algorithm greatly improves the embedding amount of watermark information. The embedded watermark carrier has good transparency, and has good robustness for various attacks, and has a very significant advantage.
引文
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[6] 汪太月,李宏伟,李志明.基于Curvelet 变换的数字水印算法[J].数学的实践与认识,2012,42(17):124-128.
[7] 何冰.基于SVD和Radon变换的抗旋转攻击盲水印算法[J].计算机工程与应用,2012,48(20):200-205.
[8] 陈伟琦,李倩.基于DWT-SVD 的图像双零水印算法[J].计算机工程与科学,2014,36(10):1991-1996.
[9] 王梦婷,周昕,呼有军,等.基于压缩感知的多图像加密新方法[J].激光杂志,2016,37(3):38-40.
[10] 鲁丁,颜才杰,金伟民.基于分数傅立叶变换和相位恢复算法的彩色图像水印[J].激光杂志,2010,29(6):17-19.
[11] 张旭,张贵仓.一种基于小波包分解的自适应数字水印算法[J].计算机辅助设计与图形学学报,2007,19(7):931-934.
[2] 严敏,陈军.基于QR 解的Contourlet域抗几何攻击水印算法[J].计算机应用研究,2016,33(9):2813-18.
[3] 王建平,吕述望.应用Contourlet的具有抗几何攻击能力的水印算法[J].传感器学报,2009,22(6):883-886.
[4] 曲长波,李栋栋.基于视觉密码和边缘检测的零水印算法[J].计算机应用与软件,2016,33 (9):328-333.
[5] 肖振久,张晗,陈虹,等.增强奇异值分解和细胞神经网络的零水印[J].中国图象图形学报,2017,22 (3):288-296.
[6] 汪太月,李宏伟,李志明.基于Curvelet 变换的数字水印算法[J].数学的实践与认识,2012,42(17):124-128.
[7] 何冰.基于SVD和Radon变换的抗旋转攻击盲水印算法[J].计算机工程与应用,2012,48(20):200-205.
[8] 陈伟琦,李倩.基于DWT-SVD 的图像双零水印算法[J].计算机工程与科学,2014,36(10):1991-1996.
[9] 王梦婷,周昕,呼有军,等.基于压缩感知的多图像加密新方法[J].激光杂志,2016,37(3):38-40.
[10] 鲁丁,颜才杰,金伟民.基于分数傅立叶变换和相位恢复算法的彩色图像水印[J].激光杂志,2010,29(6):17-19.
[11] 张旭,张贵仓.一种基于小波包分解的自适应数字水印算法[J].计算机辅助设计与图形学学报,2007,19(7):931-934.