基于图像置乱技术融合FRFT的光学图像加密
|
摘要
针对二维图像加密系统的安全性问题,本文提出一种融合分数傅里叶变换和图像置换技术的光学图像加密方案。首先,使用jigsaw变换算法将原始图像分解成若干子图,并随机平移子图;然后,利用Arnold变换对图像像素进行置乱;最后,采用分数傅里叶变换加密置乱图像,并迭代重复这些过程。将jigsaw排列指标、Arnold频率和分数傅里叶阶等参数组成一个密钥空间,通过仿真实验在光学实现方面评估算法性能。实验结果表明,本文提出的方案具有很好的灵活性和鲁棒性。
For the security issue of two-dimensional image encryption,an optical image fusion fractional Fourier transform and image replacement techniques of encryption scheme is proposed.Firstly,jigsaw transform algorithm is used to decompose the original image into several sub graphs,shifting subgraph randomly.Then,Arnold transform(ART) is used to scramble pixel of image.Finally,scrambling image by using fractional Fourier transform,and repeat the process of iteration.The jigsaw array index,Arnold frequency and fractional Fourier order parameters constitute a key space.Through the simulation in the optical implementation evaluation of the performance of algorithm,experimental results show that proposed scheme has better flexibility and robustness.
For the security issue of two-dimensional image encryption,an optical image fusion fractional Fourier transform and image replacement techniques of encryption scheme is proposed.Firstly,jigsaw transform algorithm is used to decompose the original image into several sub graphs,shifting subgraph randomly.Then,Arnold transform(ART) is used to scramble pixel of image.Finally,scrambling image by using fractional Fourier transform,and repeat the process of iteration.The jigsaw array index,Arnold frequency and fractional Fourier order parameters constitute a key space.Through the simulation in the optical implementation evaluation of the performance of algorithm,experimental results show that proposed scheme has better flexibility and robustness.
引文
[1]范德胜,孟祥锋,杨修伦等.基于相移干涉术的光学信息隐藏系统的软件实现[J].物理学报,2012,61(24):244-249.
[2]秦怡,郑长波.基于双随机相位编码的彩色图像加密技术[J].光子学报,2012,41(3):326-329.
[3]Tashima H,Takeda M,Suzuki H,et al.Known plaintext attack on double random phase encoding using fingerprint as key and a method for avoiding the attack[J].Optics Express,2010,18(13):13772-13781.
[4]薛侠,龚黎华,刘兴斌.基于分数傅里叶变换和小波分解的彩色图像分级加密[J].南昌大学学报:理科版,2012,36(6):567-571.
[5]Liu S,Guo C,Sheridan J T.A review of optical image encryption techniques[J].Optics&Laser Technology,2014,57(3):327-342.
[6]顾成喜.一种改进的数字图像置乱方法[J].计算机仿真,2011,28(1):261-264.
[7]吴成茂,田小平.三维不等长Arnold变换及其在图像置乱中的应用[J].计算机辅助设计与图形学学报,2010,32(10):1831-1840.
[8]陈森会,张廷蓉,冯小芳.分数傅里叶变换面上厄米-拉盖尔-高斯光束的变换特性[J].中国激光,2009,36(2):374-378.
[9]Liu Z,Xu L,Lin C,et al.Image encryption scheme by using iterative random phase encoding in gyrator transform domains[J].Optics and Lasers in Engineering,2011,49(4):542-546.
[10]Kumar P,Joseph J,Singh K.Optical image encryption using a jigsaw transform for silhouette removal in interference-based methods and decryption with a single spatial light modulator[J].Applied Optics,2011,50(13):1805-1811.
[11]Joshi M,Shakher C,Singh K.Fractional Fourier plane image encryption technique using radial hilbert,and Jigsaw transform[J].Optics and Lasers in Engineering,2010,48(7):754-759.
[12]龚黎华,曾绍阳,周南润.基于频谱切割和二维Arnold变换的彩色图像加密算法[J].计算机应用,2012,32(9):2599-2601.
[13]Liu S,Sheridan J T.Optical encryption by combining image scrambling techniques in fractional Fourier domains[J].Optics Communications,2013,34(6):73-80.
[14]桑军,叶春晓,向宏等.一种基于双随机相位编码的高容量信息隐藏算法[J].计算机应用,2009,29(5):1301-1304.
[15]朱伟,段文强,杨阳,沈建鑫.基于分数阶超混沌系统的图像加密算法及安全性分析[J].重庆邮电大学学报(自然科学版),2012,24(4):501-506.
[16]Abuturab M R.Securing color information using Arnold transform in gyrator transform domain[J].Optics and Lasers in Engineering,2012,50(5):772-779.
[17]Zhang Y,Xiao D.Double optical image encryption using discrete Chirikov standard map and chaos-based fractional random transform[J].Optics and Lasers in Engineering,2013,51(4):472-480.
[2]秦怡,郑长波.基于双随机相位编码的彩色图像加密技术[J].光子学报,2012,41(3):326-329.
[3]Tashima H,Takeda M,Suzuki H,et al.Known plaintext attack on double random phase encoding using fingerprint as key and a method for avoiding the attack[J].Optics Express,2010,18(13):13772-13781.
[4]薛侠,龚黎华,刘兴斌.基于分数傅里叶变换和小波分解的彩色图像分级加密[J].南昌大学学报:理科版,2012,36(6):567-571.
[5]Liu S,Guo C,Sheridan J T.A review of optical image encryption techniques[J].Optics&Laser Technology,2014,57(3):327-342.
[6]顾成喜.一种改进的数字图像置乱方法[J].计算机仿真,2011,28(1):261-264.
[7]吴成茂,田小平.三维不等长Arnold变换及其在图像置乱中的应用[J].计算机辅助设计与图形学学报,2010,32(10):1831-1840.
[8]陈森会,张廷蓉,冯小芳.分数傅里叶变换面上厄米-拉盖尔-高斯光束的变换特性[J].中国激光,2009,36(2):374-378.
[9]Liu Z,Xu L,Lin C,et al.Image encryption scheme by using iterative random phase encoding in gyrator transform domains[J].Optics and Lasers in Engineering,2011,49(4):542-546.
[10]Kumar P,Joseph J,Singh K.Optical image encryption using a jigsaw transform for silhouette removal in interference-based methods and decryption with a single spatial light modulator[J].Applied Optics,2011,50(13):1805-1811.
[11]Joshi M,Shakher C,Singh K.Fractional Fourier plane image encryption technique using radial hilbert,and Jigsaw transform[J].Optics and Lasers in Engineering,2010,48(7):754-759.
[12]龚黎华,曾绍阳,周南润.基于频谱切割和二维Arnold变换的彩色图像加密算法[J].计算机应用,2012,32(9):2599-2601.
[13]Liu S,Sheridan J T.Optical encryption by combining image scrambling techniques in fractional Fourier domains[J].Optics Communications,2013,34(6):73-80.
[14]桑军,叶春晓,向宏等.一种基于双随机相位编码的高容量信息隐藏算法[J].计算机应用,2009,29(5):1301-1304.
[15]朱伟,段文强,杨阳,沈建鑫.基于分数阶超混沌系统的图像加密算法及安全性分析[J].重庆邮电大学学报(自然科学版),2012,24(4):501-506.
[16]Abuturab M R.Securing color information using Arnold transform in gyrator transform domain[J].Optics and Lasers in Engineering,2012,50(5):772-779.
[17]Zhang Y,Xiao D.Double optical image encryption using discrete Chirikov standard map and chaos-based fractional random transform[J].Optics and Lasers in Engineering,2013,51(4):472-480.