基于快速响应码约束的光学图像加密算法
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摘要
为提高光学图像加密算法的安全性与解密质量,方便密钥的存储、管理与传输,提出一种基于快速响应(QR)码约束与混沌Gyrator变换的图像加密算法。引入二维耦合混沌系统,利用明文像素对其进行迭代后输出2个随机相位掩码。通过2个混沌序列来计算2个Gyrator变换的旋转角度,然后利用明文生成相应的QR码,并将其置于2个随机相位掩码结构的输入平面,通过两级Gyrator变换输出一个实值密文。同时,借助QR码的支撑约束条件对传统的相位检索技术进行改进,最终从密文中检索到初始的QR码后解密图像。实验结果表明,与借助圆谐分量展开与Gyrator变换实现光学图像加密的算法相比,该算法具有较高的安全性与解密质量,在噪声攻击下,其复原图像的失真度较低。
In order to improve the security and decryption quality of optical image encryption algorithm and facilitate key storage,management and transmission,an image encryption algorithm based on Quick Response( QR) code constraint and chaotic Gyrator transform is proposed. A two-dimensional coupled chaotic system is introduced,and two random phase masks are output after iteration using plaintext pixels. Two chaotic sequences are used to calculate the rotation angles of the two Gyrator transforms,and then the corresponding fast response codes are generated by plaintext. The codes are placed on the input plane of two random phase masks and a real ciphertext is output by two-stage Gyrator transforms.At the same time,the traditional phase retrieval technology is improved by using the support constraints of the QR code,and the original QR code is retrieved from the ciphertext and the decrypted image is decrypted. Experimental results show that the proposed algorithm has higher security and decryption quality than the optical image encryption algorithm based on circular harmonic component expansion and Gyrator transform,under noise attack,the distortion of restored image is lower.
In order to improve the security and decryption quality of optical image encryption algorithm and facilitate key storage,management and transmission,an image encryption algorithm based on Quick Response( QR) code constraint and chaotic Gyrator transform is proposed. A two-dimensional coupled chaotic system is introduced,and two random phase masks are output after iteration using plaintext pixels. Two chaotic sequences are used to calculate the rotation angles of the two Gyrator transforms,and then the corresponding fast response codes are generated by plaintext. The codes are placed on the input plane of two random phase masks and a real ciphertext is output by two-stage Gyrator transforms.At the same time,the traditional phase retrieval technology is improved by using the support constraints of the QR code,and the original QR code is retrieved from the ciphertext and the decrypted image is decrypted. Experimental results show that the proposed algorithm has higher security and decryption quality than the optical image encryption algorithm based on circular harmonic component expansion and Gyrator transform,under noise attack,the distortion of restored image is lower.
引文
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[2]宋鑫超,苏庆堂,赵永升.内联时延混沌映射耦合Lorenz系统的图像加密算法[J].计算机工程与设计,2016,37(7):1757-1761.
[3]汪彦,涂立.基于改进Lorenz混沌系统的图像加密新算法[J].中南大学学报(自然科学版),2017,48(10):2678-2685.
[4]CHAI X,YANG K,GAN Z.A new chaos-based image encryption algorithm with dynamic key selection mechanisms[J].Multimedia Tools and Applications,2016,76(7):9907-9927.
[5]NAL AVUOGˇLU,KAAR S,PEHLIVAN I,et al.Secure image encryption algorithm design using a novel chaos based S-Box[J].Chaos Solitons and Fractals,2017,95:92-101.
[6]冯雪娇.基于小波变换的图像加密算法的研究[D].哈尔滨:哈尔滨理工大学,2015.
[7]宋利.基于双随机相位编码的光学图像加密方法研究[D].成都:电子科技大学,2016.
[8]LIU X,MEI W,DU H.Optical image encryption based on compressive sensing and chaos in the fractional Fourier domain[J].Journal of M odern Optics,2014,61(19):1570-1577.
[9]CHEN L,LIU J,WEN J,et al.A new optical image encryption method based on multi-beams interference and vector composition[J].Optics and Laser Technology,2015,69(18):80-86.
[10]LIU W,LIU Z,LIU S.A symmetric cryptosystem using random binary phase modulation based on mixture retrieval type of Yang-Gu algorithm[J].Optics Letters,2013,38(10):1651-1653.
[11]LIU L F,MIAO S X.A new image encryption algorithm based on logistic chaotic map with varying parameter[J].SpringerPlus,2016,5(1):1-12.
[12]彭英杰,陈豪颉.多特征检测耦合混沌映射的红外图像加密算法[J].计算机工程与设计,2017,38(11):3099-3105.
[13]L’ECUYER P,SIMARD R.TestU01:a C library for empirical testing of random number generators[J].ACMTransactions on M athematical Softw are,2007,33(4):22-28.
[14]ZHAO T,RAN Q,YUAN L,et al.Optical image encryption using passw ord key based on phase retrieval algorithm[J].Journal of M odern Optics,2016,63(8):771-776.
[15]肖宁,李爱军.基于圆谐分量展开与Gyrator变换域相位检索的光学图像加密算法[J].电子测量与仪器学报,2017,31(6):876-884.