基于矢量运算和副像相位掩模的遥感图像加密技术
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摘要
针对遥感图像及彩色图像传输过程中的信息安全问题,提出了一种利用矢量运算和副像相位掩模对彩色遥感图像加密的方法.在加密过程中,利用光学相干叠加原理将原始图像矢量分解,并叠加到R、G、B三个通道上的两个相位板当中;然后,使用副像相位掩模在菲涅尔域中双随机相位编码对其中一个相位板加密;最后,利用两个随机矩阵的Kronecker积对编码图像进行进一步随机化处理,实现彩色遥感图像的多级加密.实验结果表明:该算法的密钥敏感度高,在强度系数小于0.04的高斯噪声攻击和统计分析攻击下具有良好的稳健性;密文能够抵御选择明文攻击,相比于传统的双随机相位编码算法具有更强的安全性.解密遥感图像的峰值信噪比和相关系数可达31.92dB和0.9888.该加密方法为大量相同尺寸遥感图像的加密提供了新的思路.
Aiming at the problem of information security in remote sensing images and color images transmission,a method aimed at encrypting color remote sensing images using vector operations and secondary image phase masks is proposed.In this encryption,the optical coherent superposition principle is used to separate and overlay the original image into two phase plates on the three channels R,G and B,respectively.Then the dual random phase encoding in the Fresnel domain is performed using the secondary image phase masks to encrypt one of the phase plates.Finally,the Kronecker product of two random matrices is directly perform randomization on the encoded image,achieving multilevel encryption of color remote sensing images.Experimental results show that the algorithm has a high key sensitivity,and it has good robustness under Gaussian noise attack with intensity coefficient less than 0.04 and statistical analysis attack.The ciphertext can resist the chosen-plaintext attack and has stronger security than the traditional double random phase encoding algorithm.The peak signal-to-noise ratio and correlation coefficient of the decrypted remote sensing images can reach 31.92 dB and 0.988 8.This encryption method provides a new idea for the encryption of a large number of remote sensing images of the same size.
Aiming at the problem of information security in remote sensing images and color images transmission,a method aimed at encrypting color remote sensing images using vector operations and secondary image phase masks is proposed.In this encryption,the optical coherent superposition principle is used to separate and overlay the original image into two phase plates on the three channels R,G and B,respectively.Then the dual random phase encoding in the Fresnel domain is performed using the secondary image phase masks to encrypt one of the phase plates.Finally,the Kronecker product of two random matrices is directly perform randomization on the encoded image,achieving multilevel encryption of color remote sensing images.Experimental results show that the algorithm has a high key sensitivity,and it has good robustness under Gaussian noise attack with intensity coefficient less than 0.04 and statistical analysis attack.The ciphertext can resist the chosen-plaintext attack and has stronger security than the traditional double random phase encoding algorithm.The peak signal-to-noise ratio and correlation coefficient of the decrypted remote sensing images can reach 31.92 dB and 0.988 8.This encryption method provides a new idea for the encryption of a large number of remote sensing images of the same size.
引文
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[13]MALUENDA D,CARNICER A,MARTINEZ-HERRERO R,et al.Optical encryption using photon-counting polarimetric imaging[J].Optics Express,2015,23(2):655-666.
[14]ZHANG Hua-min,DING Feng.On the Kronecker products and their applications[J].Journal of Applied Mathematics,2013:465-482.
[15]CHEN Hang,DU Xiao-ping,LIU Zheng-jun,et al.Color image encryption based on the affine transform and gyrator transform[J].Optics and Lasers in Engineering,2013,51(6):768-775.
[16]YAO Li-li,YUAN Cao-jin,QIANG Jun-jie,et al.An asymmetric color image encryption method by using deduced gyrator transform[J].Optics and Lasers in Engineering,2016,89:72-79.
[17]WU Jia-hui,LIAO Xiao-feng,YANG Bo.Color image encryption based on chaotic systems and elliptic curve EIGamal scheme[J].Signal Processing,2017,141:109-124.
[18]SHAHRIYAR T,FATHI M H,SEKHAVAT Y A.An image encryption scheme based on elliptic curve pseudo random and advanced encryption system[J].Signal Processing,2017,141:217-227.
[19]WANG Xiao-lei,ZHAI Hong-chen,LI Zhi-lei,et al.Double random-phase encryption based on discrete quaternion fourier-transforms[J].Optik,2011,122(20):1856-1859.
[20]SU Yong-gang,TANG Chen,GAO Guan-nan,et al.Optical encryption scheme for multiple color images using complete trinary tree structure[J].Optics and Lasers in Engineering,2017,98:46-55.
[2]ZOPE-CHAUDHARI S,VENKATACHALAM P,BUDDHIRAJU K M.Secure dissemination and protection of multispectral images using crypto-watermarking[J].IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing,2015,8(11):5388-5394.
[3]WANG Xian-min,GUAN Ze-qun,WU Chen-han.An adaptive wavelet two-dimension watermarking algorithm for remote sensing image[J].Electronic Imaging and Multimedia Technology IV,2005,5637.
[4]REFREGIER P,JAVIDI B.Optical image encryption based on input plane and Fourier plane random encoding[J].Optics Letters,1995,20(7):767-769.
[5]LIU Zheng-jun,LI She,LIU Wei,et al.Image encryption algorithm by using fractional Fourier transform and pixel scrambling operation based on double random phase encoding[J].Optics and Lasers in Engineering,2013,51(1):8-14.
[6]SITU Guo-hai,ZHANG Jing-juan.Double random-phase encoding in the Fresnel domain[J].Optics Letters,2004,29(14):1584-1586.
[7]UNNIKRISHNAN G,JOSEPH J,SINGH K.Optical encryption by double-random phase encoding in the fractional Fourier domain[J].Optics Letters,2000,25(12):887-889.
[8]ABUTURAB M R.Information authentication system using interference of two beams in gyrator transform domain[J].Applied Optics,2013,52(21):5133-5142.
[9]PENG Xiang,ZHANG Peng,WEI Heng-zheng,et al.Known-plaintext attack on optical encryption based on double random phase keys[J].Optics Letters,2006,31(8):1044-1046.
[10]QIN Wan,PENG Xiang.Asymmetric cryptosystem based on phase-truncated Fourier transforms[J].Optics Letters,2010,35(2):118-120.
[11]WANG Xiao-gang,ZHAO Dao-mu.Image encoding based on coherent superposition and basic vector operations[J].Optics Communications,2011,284(4):945-951.
[12]ZHOU Nan-run,WANG Yi-xian,GONG Li-hua,et al.Novel single-channel color image encryption algorithm based on chaos and fractional Fourier transform[J].Optics Communications,2011,284(12):2789-2796.
[13]MALUENDA D,CARNICER A,MARTINEZ-HERRERO R,et al.Optical encryption using photon-counting polarimetric imaging[J].Optics Express,2015,23(2):655-666.
[14]ZHANG Hua-min,DING Feng.On the Kronecker products and their applications[J].Journal of Applied Mathematics,2013:465-482.
[15]CHEN Hang,DU Xiao-ping,LIU Zheng-jun,et al.Color image encryption based on the affine transform and gyrator transform[J].Optics and Lasers in Engineering,2013,51(6):768-775.
[16]YAO Li-li,YUAN Cao-jin,QIANG Jun-jie,et al.An asymmetric color image encryption method by using deduced gyrator transform[J].Optics and Lasers in Engineering,2016,89:72-79.
[17]WU Jia-hui,LIAO Xiao-feng,YANG Bo.Color image encryption based on chaotic systems and elliptic curve EIGamal scheme[J].Signal Processing,2017,141:109-124.
[18]SHAHRIYAR T,FATHI M H,SEKHAVAT Y A.An image encryption scheme based on elliptic curve pseudo random and advanced encryption system[J].Signal Processing,2017,141:217-227.
[19]WANG Xiao-lei,ZHAI Hong-chen,LI Zhi-lei,et al.Double random-phase encryption based on discrete quaternion fourier-transforms[J].Optik,2011,122(20):1856-1859.
[20]SU Yong-gang,TANG Chen,GAO Guan-nan,et al.Optical encryption scheme for multiple color images using complete trinary tree structure[J].Optics and Lasers in Engineering,2017,98:46-55.