一种基于双随机相位加密的全息水印算法
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摘要
提出一种基于双随机相位加密的全息水印算法。首先应用双随机相位调制对原始水印进行加密产生全息水印图;然后将原始图像进行一级离散小波变换(DWT)获得低频子图,对低频子图进行分块的离散傅里叶变换(DFT)得到幅度谱;其次分别对幅度谱和全息水印图进行奇异值分解(SVD);最后将全息水印图的奇异值加权嵌入到幅度谱的奇异值。实验结果表明,该算法对旋转、平移、缩放等几何攻击具有较强的鲁棒性。
A holographic watermarking algorithm based on double random phase encryption is proposed. The double random phase modulation is applied to encrypt original watermarks and generate holographic watermark images. Then the one level discrete wavelet transform(DWT)is performed for the original image to obtain the low-frequency subgraph. The partitioned discrete Fourier transform(DFT)is performed for the low-frequency subgraph to obtain the amplitude spectrum. The singular value decomposition(SVD)is performed for the amplitude spectrum and holographic watermark image. The singular values of the holographic watermark image are weighted and embedded into those of the amplitude spectrum. The experimental results show that the algorithm has strong robustness for geometric attacks such as rotation,translation and zooming.
A holographic watermarking algorithm based on double random phase encryption is proposed. The double random phase modulation is applied to encrypt original watermarks and generate holographic watermark images. Then the one level discrete wavelet transform(DWT)is performed for the original image to obtain the low-frequency subgraph. The partitioned discrete Fourier transform(DFT)is performed for the low-frequency subgraph to obtain the amplitude spectrum. The singular value decomposition(SVD)is performed for the amplitude spectrum and holographic watermark image. The singular values of the holographic watermark image are weighted and embedded into those of the amplitude spectrum. The experimental results show that the algorithm has strong robustness for geometric attacks such as rotation,translation and zooming.
引文
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[9]李国明,李象霖.采用DFT域嵌入的全息水印方法[J].计算机系统应用,2011,20(5):42-46.LI Guoming,LI Xianglin.Holographic watermarking scheme based on DFT domain embedding[J].Computer systems&applications,2011,20(5):42-46.
[10]孙刘杰,庄松林.双随机相位加密同轴傅里叶全息水印防伪技术[J].光学学报,2007,27(4):621-624.SUN Liujie,ZHUANG Songlin.Forgery prevention based on in-line Fourier holographic watermark with double random phase encryption[J].Acta optica sinica,2007,27(4):621-624.
[11]张雷洪,唐波,李碧程,等.基于DWT-SVD的强鲁棒全息水印算法研究[J].包装工程,2013,34(21):105-109.ZHANG Leihong,TANG Bo,LI Bicheng,et al.Strong robustness holographic watermarking algorithm based on DWTSVD[J].Packaging engineering,2013,34(21):105-109.
[2]CHANG H T,TSAN C L.Image watermarking by use of digital holography embedded in the discrete-cosine-transform domain[J].Applied optics,2005,44(29):6211-6219.
[3]李晨璐,孙刘杰.一种新的彩色图像变换域全息水印算法[J].包装工程,2013,34(9):84-88.LI Chenlu,SUN Liujie.New color image holographic watermarking algorithm in transform domain[J].Packaging engineering,2013,34(9):84-88.
[4]孔玲君,聂鹏.一种基于DWT-DCT变换域的全息水印技术[J].光电子·激光,2016,27(2):198-202.KONG Lingjun,NIE Peng.A holographic digital watermarking technology based on DWT-DCT transform domain[J].Journal of optoelectronics·laser,2016,27(2):198-202.
[5]汤娟娟,陈大庆,龚冬梅,等.基于二值约束和相位恢复算法的计算全息水印[J].现代电子技术,2014,37(15):94-97.TANG Juanjuan,CHEN Daqing,GONG Dongmei,et al.Computer-generated holographic watermark based on binary constraint and phase retrieval algorithm[J].Modern electronics technique,2014,37(15):94-97.
[6]吴清乐,彭代渊.基于离散傅里叶变换的数字全息水印[J].计算机应用,2013,33(3):752-755.WU Qingle,PENG Daiyuan.Digital hologram watermarking based on discrete Fourier transform[J].Journal of computer applications,2013,33(3):752-755.
[7]包观笑,孙刘杰,李毓彬,等.抗任意旋转攻击的数字水印防伪技术[J].光电子·激光,2015,26(1):156-161.BAO Guanxiao,SUN Liujie,LI Yubin,et al.Digital watermarking technology against arbitrary rotation attack[J].Journal of optoelectronics·laser,2015,26(1):156-161.
[8]谢勇,胡亚萍,谭海湖.一种抗旋转的彩色图像全息水印防伪方案[J].包装学报,2014,6(4):1-7.XIE Yong,HU Yaping,TAN Haihu.Color image rotating distortion resistant holographic watermarking security program[J].Packaging journal,2014,6(4):1-7.
[9]李国明,李象霖.采用DFT域嵌入的全息水印方法[J].计算机系统应用,2011,20(5):42-46.LI Guoming,LI Xianglin.Holographic watermarking scheme based on DFT domain embedding[J].Computer systems&applications,2011,20(5):42-46.
[10]孙刘杰,庄松林.双随机相位加密同轴傅里叶全息水印防伪技术[J].光学学报,2007,27(4):621-624.SUN Liujie,ZHUANG Songlin.Forgery prevention based on in-line Fourier holographic watermark with double random phase encryption[J].Acta optica sinica,2007,27(4):621-624.
[11]张雷洪,唐波,李碧程,等.基于DWT-SVD的强鲁棒全息水印算法研究[J].包装工程,2013,34(21):105-109.ZHANG Leihong,TANG Bo,LI Bicheng,et al.Strong robustness holographic watermarking algorithm based on DWTSVD[J].Packaging engineering,2013,34(21):105-109.