基于QR码与级联 Fourier变换的图像光学加密算法

为实现对多幅图像完成同步加密，并提高密文的安全性与抗几何变换攻击能力，提出基于快速响应码 (QR)与级联分数阶 Fourier变换的多图像光学加密算法。借助 Logistic映射，获取随机掩码，联合 Fresnel波带、 Hilbert模型，构建调制掩码；引入复数理论，借助模板图像对第一幅明文实施处理，形成复数图像；采用分数阶 Fourier变换，借助调制掩码，对复数图像实施处理，并基于相位-幅度截断机制，得到相位分布与密钥；再结合相位截断方法与分数阶 Fourier变换，设计级联快速傅里叶变换( FFT)加密机制，通过调制掩码与相位分布，对剩余的多幅明文实施频域变换处理，输出融合幅度图像，并将其转换为对应的 QR码；引入 Gyrator变换，通过相应的光电装置，利用激光束对 QR码完成干涉处理，得到密文。测试数据表明：相对已有的多图像光学加密技术，本算法具备更高的保密安全性与抗攻击能力，在裁剪变换下，其复原图像的失真度更小。

Abstract

In order to achieve synchronous encryption of multiple images and improve the security of ciphertext and the ability to resist geometric transformation attacks, the multi-image optical encryption algorithm based on quick response and cascaded fractional transform is proposed in this paper. By introducing complex number theory, the first plaintext is processed with template image to form complex image. The complex image is decomposed based on the phase–amplitude truncation mechanism to obtain the phase distribution. With the help of Logistic map, the random masks are obtained, and the modulation masks are constructed by combining Fresnel band and Hilbert models. Combining the phase truncation method with fractional order Fourier transform, a cascaded Fast Fourier Transform(FFT) encryption mechanism is designed, and the remaining plaintext is processed by frequency domain transformation based on modulating mask and phase distribution to output the amplitude image, then it is converted into corresponding Quick Response(QR) code. The Gyrator transform is introduced, and the QR code is interfered by laser beam through the corresponding photoelectric device to get the cipher. The test data show that compared with the existing multi-image optical encryption technology, the proposed algorithm has higher security and anti-attack ability, and the distortion of the restored image is smaller under the clipping transformation.

参考文献

[1] 唐洪涛 ,唐远新 . 基于多参数分阶角变换与四元超复数的多图像同步无损加密算法 [J].西南师范大学学报 (自然科学版), 2018,43(7):75–83. (TANG Hongtao,TANG Yuanxin. Multi image synchronous lossless encryption algorithm based on multi parameter step angle transformation and quaternion hypercomplex[J]. Journal of Southwest Normal University(Natural Science Edtion), 2018,43(7):75-83.)

唐洪涛 ,唐远新 . 基于多参数分阶角变换与四元超复数的多图像同步无损加密算法 [J].西南师范大学学报 (自然科学版), 2018,43(7):75–83. (TANG Hongtao,TANG Yuanxin. Multi image synchronous lossless encryption algorithm based on multi parameter step angle transformation and quaternion hypercomplex[J]. Journal of Southwest Normal University(Natural Science Edtion), 2018,43(7):75-83.)

[2] SUN Wenqing,WANG Lei,WANG Jun. Optical hyperspectral data encryption by using gamma distributed phase masks in gyrator domain[J]. Optical Review, 2019,26(3):332- 341.

SUN Wenqing,WANG Lei,WANG Jun. Optical hyperspectral data encryption by using gamma distributed phase masks in gyrator domain[J]. Optical Review, 2019,26(3):332- 341.

[3] 郭静博.基于圆柱衍射与离散余弦变换的图像光学加密算法[J].包装工程, 2019,40(9):205-215. (GUO Jingbo. Image optical encryption algorithm based on cylinder diffraction and DCT[J]. Packaging Engineering, 2019,40(9):205-215.)

郭静博.基于圆柱衍射与离散余弦变换的图像光学加密算法[J].包装工程, 2019,40(9):205-215. (GUO Jingbo. Image optical encryption algorithm based on cylinder diffraction and DCT[J]. Packaging Engineering, 2019,40(9):205-215.)

[4] 李建军,梁利利,张福泉.基于混合相位掩码与 Gyrator小波变换的光学图像加密算法[J].光学技术, 2018,44(6): 717-726. (LI Jianjun,LIANG Lili,ZHANG Fuquan. Optical image encryption algorithm based on hybrid phase mask and gyrator wavelet transform[J]. Optical Technology, 2018,44(6):717-726.)

李建军,梁利利,张福泉.基于混合相位掩码与 Gyrator小波变换的光学图像加密算法[J].光学技术, 2018,44(6): 717-726. (LI Jianjun,LIANG Lili,ZHANG Fuquan. Optical image encryption algorithm based on hybrid phase mask and gyrator wavelet transform[J]. Optical Technology, 2018,44(6):717-726.)

[5] SUN Wenqing,WANG Lei,WANG Jun. Optical image encryption using gamma distribution phase masks in the gyrator domain[J]. Journal of the European Society of Optics- Quick Publications, 2018,14(5):102-113.

SUN Wenqing,WANG Lei,WANG Jun. Optical image encryption using gamma distribution phase masks in the gyrator domain[J]. Journal of the European Society of Optics- Quick Publications, 2018,14(5):102-113.

[6] LIU Qi,WANG Ying,WANG Jun. Optical image encryption using chaos-based compressed sensing and phase-shifting interference in fractional wavelet domain[J]. Optical Review, 2018,25(1):46-55.

LIU Qi,WANG Ying,WANG Jun. Optical image encryption using chaos-based compressed sensing and phase-shifting interference in fractional wavelet domain[J]. Optical Review, 2018,25(1):46-55.

[7] PAN Shumin,WEN Ruhong,ZHOU Zhihong. 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.

PAN Shumin,WEN Ruhong,ZHOU Zhihong. 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.

[8] CHEN Xudong,LIU Qi,WANG Jun. Asymmetric encryption of multi-image based on compressed sensing and feature fusion with high quality image reconstruction[J]. Optics and Laser Technology, 2018,107(11):302-312.

CHEN Xudong,LIU Qi,WANG Jun. Asymmetric encryption of multi-image based on compressed sensing and feature fusion with high quality image reconstruction[J]. Optics and Laser Technology, 2018,107(11):302-312.

[9] 赵亮,王文顺,张维.基于混合相位掩码与非线性像素互换的光学图像加密算法[J].电子测量与仪器学报, 2018, 32(11):154-165. (ZHAO Liang,WANG Wenshun,ZHANG Wei. Optical image encryption algorithm based on the exchange of mixed phase mask and nonlinear pixel[J]. Journal of Electronic Measurement and Instrument, 2018,32(11):154-165.)

赵亮,王文顺,张维.基于混合相位掩码与非线性像素互换的光学图像加密算法[J].电子测量与仪器学报, 2018, 32(11):154-165. (ZHAO Liang,WANG Wenshun,ZHANG Wei. Optical image encryption algorithm based on the exchange of mixed phase mask and nonlinear pixel[J]. Journal of Electronic Measurement and Instrument, 2018,32(11):154-165.)

[10] ABUTURAB Muhammadrafiq. Color information security system using Arnold transform and double structured phase encoding in gyrator transform domain[J]. Optics and Laser Technology, 2013,45(9):525-532.

ABUTURAB Muhammadrafiq. Color information security system using Arnold transform and double structured phase encoding in gyrator transform domain[J]. Optics and Laser Technology, 2013,45(9):525-532.

[11] VASHISTH Sunanda,SINGH Hukum. Image encryption using fractional mellin transform,structured phase filters, and phase retrieval[J]. Optik, 2014,125(18):5309-5315.

VASHISTH Sunanda,SINGH Hukum. Image encryption using fractional mellin transform,structured phase filters, and phase retrieval[J]. Optik, 2014,125(18):5309-5315.

[12] LIANG Haoran,TAO Xiangyang,ZHOU Nanrun. Quantum image encryption based on generalized affine transform and logistic map[J]. Quantum Information Processing, 2016,15 (7):2701-2724.

LIANG Haoran,TAO Xiangyang,ZHOU Nanrun. Quantum image encryption based on generalized affine transform and logistic map[J]. Quantum Information Processing, 2016,15 (7):2701-2724.

[13] REHMAN Aqeelur,LIAO X,KULSOOM A. A modified(dual) fusion technique for image encryption using SHA-256 hash and multiple chaotic maps[J]. Multimedia Tools and Applications, 2016,75(18):1-26.

REHMAN Aqeelur,LIAO X,KULSOOM A. A modified(dual) fusion technique for image encryption using SHA-256 hash and multiple chaotic maps[J]. Multimedia Tools and Applications, 2016,75(18):1-26.

[14] 潘良,邱建林.基于分阶 Fourier频谱分解与混合随机掩码的光学加密算法[J]. 科学技术与工程, 2019,19(14):249-256. (PAN Liang,QIU Jianlin. Optical encryption algorithm based on hierarchical Fourier spectrum decomposition and hybrid random mask[J]. Science Technology and Engineering, 2019,19(14):249-256.)

潘良,邱建林.基于分阶 Fourier频谱分解与混合随机掩码的光学加密算法[J]. 科学技术与工程, 2019,19(14):249-256. (PAN Liang,QIU Jianlin. Optical encryption algorithm based on hierarchical Fourier spectrum decomposition and hybrid random mask[J]. Science Technology and Engineering, 2019,19(14):249-256.)

[15] ZHANG D,LIAO X,YANG B. A fast and efficient approach to color-image encryption based on compressive sensing and fractional Fourier transform[J]. Multimedia Tools and Applications, 2018,77(2):2191-2208.

ZHANG D,LIAO X,YANG B. A fast and efficient approach to color-image encryption based on compressive sensing and fractional Fourier transform[J]. Multimedia Tools and Applications, 2018,77(2):2191-2208.

[16] 张智高,张红梅,裴志利.混沌掩码耦合复数模型的彩图 RGB同步加密算法[J].计算机工程与设计, 2015,36(8): 2058-2063. (ZHANG Zhigao,ZHANG Hongmei,PEI Zhili. RGB synchronization encryption algorithm of color image based on chaos mask coupled complex model[J]. Computer Engineering and Design, 2015,36(8):2058-2063.)

张智高,张红梅,裴志利.混沌掩码耦合复数模型的彩图 RGB同步加密算法[J].计算机工程与设计, 2015,36(8): 2058-2063. (ZHANG Zhigao,ZHANG Hongmei,PEI Zhili. RGB synchronization encryption algorithm of color image based on chaos mask coupled complex model[J]. Computer Engineering and Design, 2015,36(8):2058-2063.)

[17] ISHA M,SUDHEESH K R,NAVEEN K N. Cryptanalysis of an image encryption scheme based on joint transform correlator with amplitude and phase truncation approach[J]. Optics and Lasers in Engineering, 2014,52(9):167-173.

ISHA M,SUDHEESH K R,NAVEEN K N. Cryptanalysis of an image encryption scheme based on joint transform correlator with amplitude and phase truncation approach[J]. Optics and Lasers in Engineering, 2014,52(9):167-173.

[18] 程宁,王茜娟.基于混沌 Gyrator变换与矩阵分解的光学图像加密算法[J].电子测量与仪器学报, 2019,33(1):191- 202. (CHENG Ning,WANG Xijuan. Optical image encryption algorithm based on chaotic gyrator transformation and matrix decomposition[J]. Journal of Electronic Measurement and Instruments, 2019,33 (1):191-202.)

程宁,王茜娟.基于混沌 Gyrator变换与矩阵分解的光学图像加密算法[J].电子测量与仪器学报, 2019,33(1):191- 202. (CHENG Ning,WANG Xijuan. Optical image encryption algorithm based on chaotic gyrator transformation and matrix decomposition[J]. Journal of Electronic Measurement and Instruments, 2019,33 (1):191-202.)

史进, 蔡竞, 徐锋. 基于QR码与级联 Fourier变换的图像光学加密算法[J]. 太赫兹科学与电子信息学报, 2020, 18(3): 462. SHI Jin, CAI Jing, XU Feng. Multi-image optical encryption algorithm based on QR code and concatenated fractional Fourier transform[J]. Journal of terahertz science and electronic information technology, 2020, 18(3): 462.

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