基于频谱融合和柱面衍射的双图像非对称加密

曾健清; 王君; 吴超

doi:doi:10.3788/gzxb20194806.0610003

光子学报, 2019, 48 (6): 0610003, 网络出版: 2019-07-10

基于频谱融合和柱面衍射的双图像非对称加密

Asymmetric Dual Images Encryption Algorithm Based on Spectrum Fusion and Cylindrical Diffraction

论文大纲

曾健清 ^*王君吴超

作者单位

四川大学电子信息学院, 成都 610065

信息光学双图像加密离散余弦变换柱面衍射相位截断 Information optics Dual images encryption Discrete cosine transform Cylindrical diffraction Phase truncation

摘要

提出了一种基于光学柱面衍射的非对称双图像加密方法.首先对两幅灰度图像作离散余弦变换, 得到相应的频谱, 分别保留两幅离散余弦变换频谱的低频数据和任意1/3的高频数据, 并将其中一幅图的低频和任意1/3的高频融合为新的复合频谱, 对其进行柱面衍射后进行相位截断生成振幅和密钥.生成的振幅与第二幅图像的低频数据进行相同的加密过程产生新的振幅与密钥.最后将新生成的振幅与第二幅图的任意1/3的高频数据融合为新的复合频谱, 通过柱面衍射后的相位截断生成密文和新的密钥, 其中密文变成了原图的1/4.对两幅512×512的灰度图像进行加密测试, 结果表明重建图像的质量高, 相关系数值均高于0.97, 峰值信噪比均大于33 dB.基于柱面衍射的光学图像加密克服了传统平面衍射的对称性, 同时柱面衍射的内柱面半径、柱面高度、衍射距离可以作为加密系统的附加密钥, 扩大了密钥空间, 增加了系统的安全性.

Abstract

An asymmetric dual images encryption method based on optical cylindrical diffraction is proposed. Firstly, discrete cosine transform is performed on two grayscale images to obtain the corresponding spectrum. The low frequency data and the 1/3 high frequency data of the two discrete cosine transform spectra are respectively reserved, and the low frequency and the 1/3 high frequency of one of the images are merged into a new composite spectrum, which is subjected to cylindrical diffraction and phase truncation to generate amplitude and a key for decryption. The generated amplitude is encrypted in the same way with the low-frequency data of the second image to generate a new amplitude and a key for decryption. Finally the newly generated amplitude is fused with the 1/3 high-frequency data of the second image into a new composite spectrum. The phase truncation after cylindrical diffraction produces ciphertext and a new key for decryption, where the ciphertext becomes 1/4 of the original image. Numerical simulations prove that the proposed algorithm can effectively perform dual image encryption with high key sensitivity and good robustness. Encryption tests on two images with grayscale of 512×512 show that the reconstructed images are of high quality, the correlation coefficient values are higher than 0.97, and the peak signal-to-noise ratio is greater than 33 dB. The optical image encryption based on cylindrical diffraction overcomes the symmetry of the traditional plane diffraction, and the inner cylinder radius, cylinder height and diffraction distance of the cylindrical diffraction can be used as an additional key to the encryption system, which enlarges the key space and increases system security.

参考文献

[1] LIU Shu-tian, MI Quan-lin, ZHU Bang-he. Optical image encryption with multistage and multichannel fractional Fourier-domain filtering［J］. Optics Letters, 2001, 26(16): 1242-1244.

[2] 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.

[3] JOSHI M, CHANDRASHAKHER, SINGH K. Color image encryption and decryption using fractional Fourier transform［J］. Optics Communications, 2007, 279(1): 35-42.

[4] JAVIDI B, REFREGIER P. Optical image encryption based on input plane and Fourier plane random encoding［J］. Optics Letters, 1995, 20(7): 767-769.

[5] SITU G, ZHANG J. Double random-phase encoding in the Fresnel domain［J］. Optics Letters, 2004, 29(14): 1584-1586.

[6] 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.

[7] SINGH N, SINHA A. Gyrator transform-based optical image encryption, using chaos［J］. Optics and Lasers in Engineering, 2009, 47(5): 539-546.

[8] ZHOU Nan-run, LI Hao-lin, WANG Di, et al. Image compression and encryption scheme based on 2D compressive sensing and fractional Mellin transform［J］. Optics Communications, 2015, 343: 10-21.

[9] PENG X, WEI H, ZHANG P. Chosen-plaintext attack onlensless double-random phase encoding in the Fresnel domain［J］. Optics Letters, 2006, 31(22): 3261-3263.

[10] FRAUEL Y, CASTRO A, NAUGHTON T J, et al. Resistance of the double random phase encryption against various attacks［J］. Optics Express, 2007, 15(16): 10253-10265.

[11] KONG D, SHEN X, CAO L, et al. Phase retrieval for attacking fractional Fourier transform encryption［J］. Applied Optics, 2017, 56(12): 3449.

[12] QIN Wan, PENG Xiang. Asymmetric cryptosystem based on phase-truncated Fourier transforms［J］.Optics Letters, 2010, 35(2): 118-120.

[13] CAI Jian-jun, SHEN Xue-ju, LEI Ming, et al. Asymmetric optical cryptosystem based on coherent superposition and equal modulus decomposition［J］. Optics Letters, 2015, 40(4): 475-479.

[14] 丁湘陵, 崔永忠基于相位截断的非对称加密系统安全性的分析与改进［J］. 激光杂志, 2013,34(2): 27-29.

DING Xiang-ling, CUI Yong-zhong. Analysis and improvement for asymmetric cryptosystem based on phase-truncated Fourier transforms［J］. Laser Journal, 2013, 34(2): 27-29.

[15] 贾丽娟, 刘正君. 基于随机分数傅里叶变换的双图像加密算法［J］. 光子学报, 2009, 38(4): 1020-1024.

JIA Li-juan, LIU Zheng-jun. Double image encryption algorithm based on random fractional fourier transform［J］. Acta Photonica Sinica, 2009, 38(4): 1020-1024.

[16] 陈翼翔, 汪小刚. 基于双随机相位编码的非线性双图像加密方法［J］. 光学学报, 2014, 34(7): 54-58.

CHEN Yi-xiang WANG Xiao-gang. Nonlinear double images encryption based on double random phase encoding［J］. Acta Optica Sinica, 2014, 34(7): 54-58.

[17] FARAGALLAH O S. Optical double color image encryption scheme in the Fresnel-based Hartley domain using Arnold transform and chaotic logistic adjusted sine phase masks［J］. Optical and Quantum Electronics, 2018, 50(3): 118-144.

[18] PAN Shu-min, WEN Ru-hong, ZHOU Hong-zhi, et al. Optical multi-image encryption scheme based on discrete cosine transform and nonlinear fractional Mellin transform［J］. Multimedia Tools and Applications, 2017, 76(2): 2933-2953.

[19] ALFALOU A, BROSSEAU C, ABODALLAH N. Simultaneous compression and encryption of color video images［J］. Optics Communications, 2015, 338: 371-379.

[20] 李婧,吕晓东, 马毛粉, 等. 基于频谱融合技术的光学衍射成像彩色图像加密系统［J］. 光子学报, 2015, 44(7): 0710002.

LI Jing, LV Xiao-dong, MA Mao-fen, et al. Optical color image encryption in diffraction imaging scheme based on spectrum fusion［J］. Acta Photonica Sinica, 2015, 44(7): 0710002.

曾健清, 王君, 吴超. 基于频谱融合和柱面衍射的双图像非对称加密[J]. 光子学报, 2019, 48(6): 0610003. ZENG Jian-qing, WANG Jun, WU Chao. Asymmetric Dual Images Encryption Algorithm Based on Spectrum Fusion and Cylindrical Diffraction[J]. ACTA PHOTONICA SINICA, 2019, 48(6): 0610003.

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