Image encryption based on combination of spactial and wavelet domain

doi:10.11772/j.issn.1001-9081.2017.02.0499

Journal of Computer Applications ›› 2017, Vol. 37 ›› Issue (2): 499-504.DOI: 10.11772/j.issn.1001-9081.2017.02.0499

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Image encryption based on combination of spactial and wavelet domain

CAO Guanghui¹, LI Chunqiang²

1. School of Electronics & Information Engineering, Liaoning University of Technology, Jinzhou Liaoning 121001, China;
2. School of Computer Science & Technology, Beijing Institute of Technology, Beijing 100081, China

Received:2016-07-19 Revised:2016-09-17 Online:2017-02-10 Published:2017-02-11
Supported by:
This work is partially supported by the National Natural Science Foundation of China (61502216), the Joint Fund of Liaoning Province (201602365).

联合空域和小波域的图像加密

曹光辉¹, 李春强²

1. 辽宁工业大学电子与信息工程学院, 辽宁锦州 121001;
2. 北京理工大学计算机学院, 北京 100081

通讯作者: 曹光辉,caoguanghuineu@163.com
作者简介:曹光辉(1974-),男,辽宁锦州人,副教授,博士,主要研究方向:图像加密、图像压缩;李春强(1973-),男,吉林敦化人,副教授,博士,主要研究方向:信息安全、网络攻击。
基金资助:
国家自然科学基金资助项目（61502216），辽宁省联合基金资助项目（201602365）。

Abstract

Abstract: Aiming at the problem that hybrid domain image encryption algorithm based on chaos theory has weak encryption strength, a new image encryption algorithm based on the combination of spatial and wavelet domain was proposed. First, one-level two-dimensional discrete wavelet decomposition was performed on the original image to extract the low-frequency wavelet coefficients. Second, using the chaotic sequence generated by 2D Sine Logistic chaotic dynamic system, the low frequency sub-band was scrambled by using chaotic magic transformation, then inverse wavelet transformation was executed on decomposed image.For the scrambled image, a chaotic sequence used for encryption key in spatial domain based on intertwining Logistic map was generated, then the pixels were encrypted by using the combination technology of elemental multiplication in a Galois field with XOR. At the same time, the technology of chaotic disturbance and encryption feedback was introduced to implement one-running key. Theoretical analysis and experimental results show that the proposed algorithm has the advantages of large key space, anti-reconstruction attack, anti-differential attack, feasible encryption efficiency, strong security, and so on.

Key words: chaotic system, chaotic disturbance, discrete wavelet decomposition, differential attack, elemental multiplication in a Galois field

摘要： 针对基于混沌理论的混合域图像加密算法存在加密强度较弱的问题，提出一种新的联合空域和小波域的图像加密算法。首先对原始图像进行一级二维离散小波分解，提取低频小波系数；接着使用二维Sine Logistic映射生成混沌序列，利用该混沌序列使用混沌魔方变换置乱低频子带，然后完成图像逆小波变换。对置乱后的图像，首先使用互绕Logistic映射生成混沌序列用于空域加密密钥，然后联合基于伽罗瓦域上元素乘法和异或的变换技术对像素进行加密；同时，引入混沌扰动和加密反馈技术以实现生成一次性运行密钥。理论分析和实验结果表明，新算法具有密钥空间大、抗重构攻击、抗差分攻击、加密效率可行、安全性强等特点。

关键词: 混沌系统, 混沌扰动, 离散小波分解, 差分攻击, 伽罗瓦域元素乘法

CLC Number:

TP311.56

CAO Guanghui, LI Chunqiang. Image encryption based on combination of spactial and wavelet domain[J]. Journal of Computer Applications, 2017, 37(2): 499-504.

曹光辉, 李春强. 联合空域和小波域的图像加密[J]. 计算机应用, 2017, 37(2): 499-504.

References

[1] KUMAR M, IQBAL A, KUMAR P. A new RGB image encryption algorithm based on DNA encoding and elliptic curve Diffie-Hellman cryptography[J]. Signal Processing, 2016, 125:187-202.
[2] YANG Y-G, TIAN J, LEI H, et al. Novel quantum image encryption using one-dimensional quantum cellular automata[J]. Information Sciences, 2016, 345:257-270.
[3] 葛滨,鲁华祥,陈旭,等.基于超混沌的快速图像加密算法[J].系统工程与电子技术,2016,38(3):699-705. (GE B, LU H X, CHEN X, et al. Fast image encryption algorithm based on hyper-chaos[J]. System Engineering and Electronics, 2016, 38(3):699-705.).
[4] WADI S M, ZAINAL N. Rapid encryption method based on aes algorithm for grey scale HD image encryption[J]. Procedia Technology, 2013, 11:51-56.
[5] SHATHEESH SAM I, DEVARAJ P, BHUVANESWARAN R S. An intertwining chaotic maps based image encryption scheme[J]. Nonlinear Dynamics, 2012, 69(4):1995-2007.
[6] HUA Z, ZHOU Y, PUN C-M, et al. 2D Sine Logistic modulation map for image encryption[J]. Information Sciences, 2015, 297:80-94.
[7] ZHANG Y. The image encryption algorithm with plaintext-related shuffling[J]. IETE Technical Review, 2016, 33(3):310-322.
[8] CAO G, ZHANG X, LIU Y. Image encryption with variable length key[J]. IETE Technical Review, 2016, 33(3):297-309.
[9] SHATHEESH SAM I, DEVARAJ P, BHUVANESWARAN R S. An intertwining chaotic maps based image encryption scheme[J]. Nonlinear Dynamics, 2012, 69(4):1995-2007.
[10] FRIDRICH J. Symmetric ciphers based on two-dimensional chaotic maps[J]. International Journal of Bifurcation and Chaos, 1998, 8(6):1259-1284.
[11] LIMA J B, MADEIRO F, SALESC F J R. Encryption of medical images based on the cosine number transform[J]. Signal Processing:Image Communication, 2015, 35:1-8.
[12] TEDMORI S, AL-NAJDAWIB N. Image cryptographic algorithm based on the Haar wavelet transform[J]. Information Sciences, 2014, 269:21-34.
[13] TANEJA N, RAMAN B, GUPTA I. Selective image encryption in fractional wavelet domain[J]. AEU-International Journal of Electronics and Communications, 2011, 65(4):338-344.
[14] HENNELLY B, SHERIDAN J T. Fractional Fourier transform-based image encryption:phase retrieval algorithm[J]. Optics Communications,2003, 226(1/2/3/4/5/6):61-80.
[15] PHILIPPE R, JAVIDI B. Optical image encryption based on input plane and Fourier plane random encoding[J]. Optics Letters, 1995, 20(7):767-769.
[16] LIU Z, LI S, LIU W, 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.
[17] ZHANG X, ZHU G, MA S. Remote-sensing image encryption in hybrid domains[J]. Optics Communications, 2012, 285(7):1736-1743.
[18] ABD EL-LATIF A A, NIU X, AMIN M. A new image cipher in time and frequency domains[J]. Optics Communications, 2012, 285(21/22):4241-4251.
[19] ARROYO D, RHOUMA R, ALVAREZ G, et al. On the security of a new image encryption scheme based on chaotic map lattices[J]. Chaos:An Interdisciplinary Journal of Nonlinear Science, 2008, 18(3):033112.
[20] LING C, WU X, SUN S. A general efficient method for chaotic signal estimation[J]. IEEE Transactions on Signal Processing, 1999, 47(5):1424-1428.
[21] LI C, CHEN G. On the security of a class of image encryption schemes[C]//ISCAS 2008:Proceedings of the 2008 IEEE International Symposium on Circuits and Systems. Piscataway, NJ:IEEE, 2008:3290-3293.
[22] LI C, LIU Y, ZHANG L Y, et al. Breaking a chaotic image encryption algorithm based on modulo addition and XOR operation[J]. International Journal of Bifurcation & Chaos, 2013, 23(4):1350075.
[23] WU X, HU H, ZHANG B. Parameter estimation only from the symbolic sequences generated by chaos system[J]. Chaos, Solitons & Fractals, 2004, 22(2):359-366.
[24] RGONZALEZ R C, WOODS R E. Digital Image Processing[M]. 3rd ed. Upper Saddle River, NJ:Prentlce-Hall, 2012:510-512.
[25] RHOUMA R, SOUMAYA M. OCML-based colour image encryption[J]. Chaos, Solitons & Fractals, 2009, 40(1):309-318.

Image encryption based on combination of spactial and wavelet domain

联合空域和小波域的图像加密

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