基于Logistic混沌的图像实值加密

J4 ›› 2018, Vol. 35 ›› Issue (2): 149-155.

基于Logistic混沌的图像实值加密

洪媛,徐宁,涂兴华

南京邮电大学光电工程学院, 江苏南京 210046

收稿日期:2016-09-06 修回日期:2016-09-19 出版日期:2018-03-28 发布日期:2018-03-30
通讯作者: 徐宁（1960-），女，江苏人，教授，从事光纤通信和光电子器件的教学和研究。 E-mail: xuning@njupt.edu.cn
作者简介:洪媛（1993-），女，安徽人，研究生，从事光通信和信息安全的研究。 E-mail: hong263@126.com
基金资助:
Supported by National Natural Science Foundation of China(国家自然科学基金,61272084), Policy Guidance Category Program Project of Jiangsu Province(江苏省政策引导类计划项目, BY2016010-01)

Image real-value encryption based on Logistic chaos

HONG Yuan, XU Ning, TU Xinghua

School of Optoelectronic Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210046, China

Received:2016-09-06 Revised:2016-09-19 Published:2018-03-28 Online:2018-03-30

摘要/Abstract

摘要： 提出了一种基于Logistic混沌的图像实值加密算法，在保证信息安全的同时极大简化了加密信息的传输。该算法利用Logistic混沌控制生成相位模板，基于混沌系统的非线性、初始值敏感性，在减小密钥体积的同时增大了密钥空间，增加了系统复杂性。在保证原始信息可还原的前提下，将实值加密矩阵保存为低失真灰度图格式，便于在用户间传输加密信息。对算法进行MATLAB仿真分析，结果表明该算法具有良好的抗噪声、抗剪切鲁棒性；密钥具有高敏感性，可有效抵御穷举攻击。

关键词: 图像处理；实值编码；Logistic混沌；图像加密；信息传输

Abstract: An image real-value encryption algorithm based on Logistic chaos is proposed. The transmission of the encrypted information is greatly simplified while ensuring the information security. The algorithm uses Logistic chaos control to generate phase template. Based on the nonlinearity and sensitivity to initial values of the chaotic system, the key space is increased while the key volume is reduced, and system complexity is increased. In the premise of original information being restored, the obtained real-value encryption matrix is saved as low-distortion gray-scale image, which facilitates the transmission of encrypted information conveniently between users. The algorithm is simulated with MATLAB, and the results show that the algorithm has good robustness against noise and shear. The keys are characterized by high sensitivity, which provides strong resistance for exhaustive attack.

Key words: image processing; real-value encoding; Logistic chaos; image encryption; information transmission

中图分类号:

TN918.91

洪媛徐宁涂兴华. 基于Logistic混沌的图像实值加密[J]. J4, 2018, 35(2): 149-155.

参考文献

[1] Kang Chunying. Research on generation algorithm of network two-dimensional code [J]. Journal of Natural Science of Heilongjiang University (黑龙江大学自然科学学报), 2009, 26(2): 216-219(in Chinese). [2] Peng Xiang Wei Hengzheng, Zhang Peng. Introduction of Optical Information Safety(光学信息安全导论) [M]. Beijing: Science Press, 2008: 1-11, 28-37 (in Chinese). [3] Refregier P, Javidi B. Optical image encryption using input plane and Fourier plane random encoding [J]. Opt. Lett., 1995, 20(7): 767-769. [4] Yang Xiaoping, Gao Lijuan, Wang Xiaolei, et al. Single-channel encryption of color image based on double-phase encoding[J]. Acta Phys. Sin. (物理学报), 2009, 58(3): 1662-1667(in Chinese). [5] Jiang Z P. Fractional Fourier Transform [J]. Chinese Journal of Quantum Electronics(量子电子学报), 1996, 13(4): 289-300(in Chinese). [6] Sui L, Xin M, Tian A. Multiple-image encryption based on phase mask multiplexing in fractional Fourier transform domain[J]. Opt. Lett., 2013, 38(11): 1996-1998. [7] Unnikrishnan G, Singh K. Double random fractional Fourier domain encoding for optical security [J]. Opt. Eng., 2000, 39(11): 2853-2859. [8] Kong D, Shen X, Xu Q, et al. Multiple-image encryption scheme based on cascaded fractional Fourier transform[J]. Appl. Optics, 2013, 52(12): 2619-2625. [9] Rajput S K, Nishchal N K. Image encryption based on interference that uses fractional Fourier domain asymmetric keys[J]. Appl. Optics, 2012, 51(10): 1446-1452. [10] Hua L L, Xu N, Yang G. An encryption scheme based on phase-shifting digital holography and amplitude-phase disturbance[J]. Chin. Phys. B, 2014, 23(6): 206-211. [11] Shen Lina, Wang Xianming, Zhang Zexia. Latest progress on image encryption technique based on phase shifting digital holography[J]. Journal of Xinjiang Normal University(Natural Sciences Edition)(新疆师范大学学报(自然科学版)), 2013, 32(4): 51-53(in Chinese). [12] Liao Xiaofeng, Xiao Di, Chen Yong. Theory and Applications of Chaotic Cryptography(混沌密码学原理及其应用)[M]. Beijing: Science Press, 2009: 232-259 (in Chinese). [13] Zhu Wei, Yang Geng, Chen Lei, et al. An improved image algorithm based on double random phase encoding and chaos[J]. Acta Opt. Sin.(光学学报)，2014, 34(6): 58-68(in Chinese). [14] Sun Fuyan, Lü Zongwang. Crytographic spatial chaos sequence[J]. Acta Phys. Sin.(物理学报), 2011, 60(4): 60-65(in Chinese). [15] Sun F Y, Lü Z W. Digital image encryption with chaotic map lattices[J]. Chin. Phys. B, 2011, 20(4): 132-138. [16] Situ G, Zhang J. Double random-phase encoding in the Fresnel domain[J]. Opt. Lett., 2004, 29(14): 1584-1586. [17] Li Rong, Li Ping. Research on the image security in double random phase real-value encryption[J]. Acta Photon. Sin.(光子学报), 2005, 34(6): 952-955(in Chinese). 李榕, 李萍. 基于随机相位实值编码的光学图像加密[J]. 光子学报, 2004, 33(5):605-608. [18] Xin Yi, Tao Ran, Wang Yue. Real-value encryption of digital image utilizing fractional Fourier transform [J]. Opt. Tech.(光学技术), 2008, 34(4): 498-502(in Chinese). [19] Situ Guohai, Zhang Jingjuan, Shi Weishi. Cascaded systems for optical image encryption based on diffractive optical elements [J]. Chinese Journal of Quantum Electronics(量子电子学报), 2006, 23(6): 794-797(in Chinese). [20] Wang Hongjuan, Wang Zhipeng, Hai Tao, et al. Lossless binary image reconstruction in diffractive encryption system with redundant data[J]. Chin. J. Lasers(中国激光), 2015, 42(7): 277-283(in Chinese). [21] Xu Ning, Chen Xuelian, Yang Geng. Research on the algorithm of multiple-image encryption based on the improved virtual optical imaging [J]. Acta Phys. Sin.(物理学报), 2013, 62(8): 084202(in Chinese).