Lang Jun, Fu Xiangxue, Guo Pan. Optical color image asymmetric compressed encryption in fractional Fourier transform domain[J]. Opto-Electronic Engineering, 2018, 45(6): 170732. doi: 10.12086/oee.2018.170732
Citation: Lang Jun, Fu Xiangxue, Guo Pan. Optical color image asymmetric compressed encryption in fractional Fourier transform domain[J]. Opto-Electronic Engineering, 2018, 45(6): 170732. doi: 10.12086/oee.2018.170732

Optical color image asymmetric compressed encryption in fractional Fourier transform domain

    Fund Project: Supported by Fundamental Research Funds for the Central Universities (N150404004)
More Information
  • In order to improve the security of traditional optical image encryption and reduce the amount of data what needs to process, we propose a color image asymmetric optical encryption method based on compressed sensing and quantum logistic map, and use the compressive sensing theory and single-channel encrypted method to deal with the problem of large amount of data in the process of color image encryption. Aiming at the linear problem of the traditional optical cryptosystem, we use asymmetric optical encryption based on phase truncation fractional Fourier transform. We also use quantum logistic map to generate the random phase masks for the convenience of transmitting random phase masks. The results show that the proposed algorithm can obtain better image encryption and decryption results.
  • 加载中
  • [1] Piao Y R, Shin D, Kim E S. Robust image encryption by combined use of integral imaging and pixel scrambling techniques[J]. Optics and Lasers in Engineering, 2009, 47(11): 1273-1281. doi: 10.1016/j.optlaseng.2009.05.007

    CrossRef Google Scholar

    [2] Panduranga H T, Naveen Kumar S K. Hybrid approach for image encryption using SCAN patterns and carrier images[J]. International Journal on Computer Science and Engineering, 2010, 2(2): 297-300.

    Google Scholar

    [3] Zhang Q, Guo L, Wei X P. Image encryption using DNA addition combining with chaotic maps[J]. Mathematical and Computer Modelling, 2010, 52(11-12): 2028-2035. doi: 10.1016/j.mcm.2010.06.005

    CrossRef Google Scholar

    [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. doi: 10.1364/OL.20.000767

    CrossRef Google Scholar

    [5] Liu S T, Yu L, Zhu B H. Optical image encryption by cascaded fractional Fourier transforms with random phase filtering[J]. Optics Communication, 2001, 187(1-3): 57-63. doi: 10.1016/S0030-4018(00)01093-2

    CrossRef Google Scholar

    [6] Hennelly B, Sheridan J T. Optical image encryption by random shifting in fractional Fourier domains[J]. Optics Letters, 2003, 28(4): 269-271. doi: 10.1364/OL.28.000269

    CrossRef Google Scholar

    [7] Singh N, Sinha A. Optical image encryption using fractional Fourier transform and chaos[J]. Optics and Lasers in Engineering, 2008, 46(2): 117-123. doi: 10.1016/j.optlaseng.2007.09.001

    CrossRef Google Scholar

    [8] Lang J. Image encryption based on the reality-preserving multiple-parameter fractional Fourier transform[J]. Optics Communications, 2012, 285(10-11): 2584-2590. doi: 10.1016/j.optcom.2012.01.085

    CrossRef Google Scholar

    [9] Zhong Z, Zhang Y J, Shan M G, et al. Optical movie encryption based on a discrete multiple-parameter fractional Fourier transform[J]. Journal of Optics, 2014, 16(12): 125404. doi: 10.1088/2040-8978/16/12/125404

    CrossRef Google Scholar

    [10] Qin W, Peng X. Asymmetric cryptosystem based on phase-truncated Fourier transforms[J]. Optics Letters, 2010, 35(2): 118-120. doi: 10.1364/OL.35.000118

    CrossRef Google Scholar

    [11] 巩琼, 王志鹏, 杨兴强, 等.基于衍射成像原理结合相位板抽取的加密方法[J].光电工程, 2016, 43(1): 88-94.

    Google Scholar

    Gong Q, Wang Z P, Yang X Q, et al. An encryption method based on diffraction imaging principle and phase mask removal method[J]. Opto-Electronic Engineering, 2016, 43(1): 88-94.

    Google Scholar

    [12] Zhou N R, Wang Y X, Gong L H, et al. Novel single-channel color image encryption algorithm based on chaos and fractional Fourier transform[J]. Optics Communications, 2011, 284(12): 2789-2796. doi: 10.1016/j.optcom.2011.02.066

    CrossRef Google Scholar

    [13] Joshi M, Chandrashakher, Singh K. Color image encryption and decryption using fractional Fourier transform[J]. Optics Communications, 2007, 279(1): 35-42. doi: 10.1016/j.optcom.2007.07.012

    CrossRef Google Scholar

    [14] Yuan W T, Yang X L, Guo W, et al. A double-domain image encryption using hyper chaos[C]// Proceedings of the 19th International Conference on Transparent Optical Networks, 2017: 1-4.

    Google Scholar

    [15] Chen J X, Bao N, Li J C, et al. Cryptanalysis of optical ciphers integrating double random phase encoding with permutation[J]. IEEE Access, 2017, 5: 16124-16129. doi: 10.1109/ACCESS.2017.2735420

    CrossRef Google Scholar

    [16] Candès E J, Romberg J, Tao T. Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information[J]. IEEE Transactions on Information Theory, 2006, 52(2): 489-509. doi: 10.1109/TIT.2005.862083

    CrossRef Google Scholar

    [17] Donoho D L. Compressed sensing[J]. IEEE Transactions on Information Theory, 2006, 32(4): 1289-1306.

    Google Scholar

    [18] 焦李成, 杨淑媛, 刘芳, 等.压缩感知回顾与展望[J].电子学报, 2011, 39(7): 1651-1662.

    Google Scholar

    Jiao L C, Yang S Y, Liu F, et al. Development and prospect of compressive sensing[J]. Acta Electronica Sinica, 2011, 39(7): 1651-1662.

    Google Scholar

    [19] Huang R, Sakurai K. A robust and compression-combined digital image encryption method based on compressive sensing[C]//Proceedings of the 7th International Conference on Intelligent Information Hiding and Multimedia Signal Processing, 2011, 53: 105-108.

    Google Scholar

    [20] 周南润, 张艾华, 吴建华, 等. 测量矩阵受控的图像压缩感知与图像加密方法: 102833514A[P]. 2012-12-19.

    Google Scholar

    Zhou N R, Zhang A H, Wu J H, et al. Measurement-matrix-controlled image compressive sensing and image encryption method: 102833514A[P]. 2012-12-19.

    Google Scholar

    [21] Lu P, Xu Z Y, Lu X, et al. Digital image information encryption based on Compressive Sensing and double random-phase encoding technique[J]. Optik-International Journal for Light and Electron Optics, 2013, 124(16): 2514-1518. doi: 10.1016/j.ijleo.2012.08.017

    CrossRef Google Scholar

    [22] Liu X Y, Cao Y P, Lu P, et al. Optical image encryption technique based on compressed sensing and Arnold transformation[J]. Optik-International Journal for Light and Electron Optics, 2013, 124(24): 6590-6593. doi: 10.1016/j.ijleo.2013.05.092

    CrossRef Google Scholar

    [23] EI-Latif A A A, Li L, Wang N, et al. A new approach to chaotic image encryption based on quantum chaotic system, exploiting color spaces[J]. Signal Processing, 2013, 93(11): 2986-3000. doi: 10.1016/j.sigpro.2013.03.031

    CrossRef Google Scholar

    [24] Tropp J A, Gilbert A C. Signal recovery from random measurements via orthogonal matching pursuit[J]. IEEE Transactions on Information Theory, 2008, 53(12): 4655-4666.

    Google Scholar

    [25] Chen S S, Donoho D L, Saunders M A. Atomic decomposition by basis pursuit[J]. SIAM Review, 2001, 43(1): 129-159. doi: 10.1137/S003614450037906X

    CrossRef Google Scholar

    [26] Berry M V, Balazs N L, Tabor M, et al. Quantum maps[J]. Annals of Physics, 1979, 122(1): 26-63. doi: 10.1016/0003-4916(79)90296-3

    CrossRef Google Scholar

    [27] Goggin M E, Sundaram B, Milonni P W. Quantum Logistic map[J]. Physical Review A, 1990, 41(10): 5705-5708. doi: 10.1103/PhysRevA.41.5705

    CrossRef Google Scholar

  • Overview: In recent years, with the development of multimedia technology, various kinds of information such as pictures, videos can be transmitted conveniently and quickly through the internet. People's work and study also increasingly depend on the network and information system. Therefore, the security of information has drawn more and more attention. Image security is especially important because image information can convey people's thoughts more clearly.

    In this paper, we present a novel color image encrypted system based on compressed sensing and quantum logistic map. On the one hand, the system significantly decreases the number of transferred data in the cryptosystem; on the other hand, it increases the security of an encryption system. First, two steps are used to reduce the number of data. Step one, color image traditional encrypted process needs to deal with the data of three channels. In order to convert three-channel of color image to single-channel encrypted, we use some mathematical transformations to convert the green channel and the blue channel into two phase masks and add them into the optical cryptosystem. Single-channel can not only reduce the amount of data what it needs to process, it also simplifies the optical encryption system. Step two, this system significantly decreases the number of data processed in the cryptosystem by utilizing compressed sensing (CS). The most attractive characteristic of CS is that with far fewer samples or measurements than traditional Nyquist sampling methods, one can perfectly reconstruct certain signals. The CS also provides a mechanism for data security because the signal can only be reconstructed if the sensing matrix is known. Second, to enhance security, the proposed algorithm increases the robustness of the system used asymmetric optical encryption system based on the phase truncation fractional Fourier transform. This method can make the system resistant to plaintext attacks, and also make the encryption result a real value, which can save storage space and provide convenience in transmission. At the same time, the parameters of fractional Fourier transform are the keys of the cryptosystem, it adds the number of the keys to enhance security. Finally, to simplify the key exchange, we use quantum logistic chaotic to generate the random phase masks. Instead of transmitting the random phase masks which is hard and inconvenient to transmit and save, only five parameters of quantum logistic map are required. The encryption keys of the cryptosystem are the truncated phase, the fractional orders in the fractional Fourier transform and the parameters of quantum logistic map. The results show that this algorithm can obtain better image encryption and decryption results.

  • 加载中
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Figures(12)

Tables(2)

Article Metrics

Article views(7711) PDF downloads(3498) Cited by(0)

Access History

Other Articles By Authors

Article Contents

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint