基于相干叠加与模均等矢量分解的光学图像加密算法

张博; 龙慧; 江沸菠

doi:10.11999/JEIT170489

基于相干叠加与模均等矢量分解的光学图像加密算法

doi: 10.11999/JEIT170489

1.
(长沙师范学院信息与工程系长沙 410100)

基金项目:

国家自然科学基金(41604117)，湖南省科技计划资助项目(2015JC3067)

计量
- 文章访问数: 1296
- HTML全文浏览量: 109
- PDF下载量: 186
- 被引次数: 0
出版历程
- 收稿日期: 2017-05-22
- 修回日期: 2017-09-29
- 刊出日期: 2018-02-19

Optical Image Encryption Algorithm Based on Coherent Superposition and Equal Modulus Vector Decomposition

1.
(Department of Information and Engineering, Changsha Normal University, Changsha 410100, China)

Funds:

The National Natural Science Foundation of China (41604117), The Hunan Science and Technology Plan (2015JC3067)

摘要

摘要: 为了解决光学图像加密技术将密文相位信息主要集中在纯相位掩码中，使其存在轮廓显现问题，该文提出相干叠加与模均等矢量分解的光学图像加密算法。首先，对输入图像进行归一化处理；基于映射，利用输入图像的像素特性，生成其初值，通过迭代映射，输出混沌相位掩码；借助相位掩码，对图像完成调制，并结合Fourier变换，对调制图像进行处理，输出其Fourier频谱；再对该频谱分别进行等模分解，获得两个掩码；再基于不同分数阶的Fourier机制，对两个掩码进行变换；最后，引入相位-幅度截断编码技术，设计单向编码机制，通过激光束的相干叠加，输出编码密文的幅度与相位信息，将相位部分视为编码密文，把幅度信息作为解密密钥。通过等模分解技术，将输入明文演变为4个不同的相位与幅度信息，有效解决了轮廓显现问题。实验结果显示：与当前基于干涉原理的图像加密机制相比，所提算法的安全性更高，有效消除了轮廓显现问题。
- 光学图像加密 /
- 相干叠加 /
- 模均等矢量分解 /
- 混沌相位掩码 /
- Fourier变换 /
- 相位-幅度截断 /
- 单向编码
Abstract: In order to overcome the defects such as contour emerging induced by the cipher phase information mainly concentrated in the pure phase mask and difficult to resist the amplitude phase retrieval attack in current optical image encryption technology, the optical image encryption algorithm based on coherent superposition and equal modulus vector decomposition is proposed in this paper. Firstly, the optical image is normalized, and the initial value of Logistic map is generated using the pixel characteristics of plaintext, and the random phase mask is outputted by iterative the logistic map. Then the image is modulated by random phase function, and the modulated image is processed based on Fourier transform to output the Fourier spectrum. Then, the Fourier spectrum is decomposed equal module to obtain two masks. Each mask is transformed based on Fourier mechanism with different fractional order. Finally, a one-way coding scheme is designed based on phase - amplitude truncation coding technique to get the amplitude and phase information of each Fourier spectrum, which regards the phase part as coding cipher, and the amplitude information as the decryption key. The input plaintext is transformed into 4 different information of phases and amplitudes using the equal modulus vector decomposition technique to solve effectively the problem of contour representation. The experimental results show that the proposed algorithm has higher security for effectively solving the contour appearance problem compared with current image encryption schemes based on the interference theory.
- Optical image encryption /
- Coherent superposition /
- Mode equalization vector decomposition /
- Chaotic phase mask /
- Fourier transform /
- Phase amplitude truncation /
- One-way coding

HTML全文

参考文献(28)

李凯佳, 俞锐刚, 袁凌云. 基于DNA-记忆元胞自动机与Hash函数的图像加密算法[J]. 计算机工程与设计, 2017, 38(2): 470-477. doi: 10.16208/j.issn1000-7024.2017.02.036.

LIU Xingbin, MEI Wenbo, and DU Huiqian. Optical image encryption based on compressive sensing and chaos in the fractional Fourier domain[J]. Journal of Modern Optics, 2014, 61(19): 1570-1577. doi: 10.1080/09500340.2014.946565.

LI Kaijia, YU Ruigang, and YUAN Linyun. Image encryption algorithm based on DNA-cellular automata and Hash function[J]. Computer Engineering and Design, 2017, 38(2): 470-477. doi: 10.16208/j.issn1000-7024.2017.02.036.

沈学举, 刘旭敏, 蔡宁. 非线性JTC光学图像加密系统及其消噪音和抗攻击特性研究[J]. 中国激光, 2015, 42(7): 284-290. doi: 10.3788/CJL201542.0709003.

SHEN Xueju, LIU Xumin, and CAI Ning. Nonlinear JTC optical image encryption system and its characteristics of noise reduction and anti attack[J]. Chinese Journal of Laser, 2015, 42(7): 284-290. doi: 10.3788/CJL201542.0709003.

朱薇, 杨庚, 陈蕾. 基于混沌的改进双随机相位编码图像加密算法[J]. 光子学报, 2014, 34(6): 58-68. doi: 10.3788/AOS 201434.0607001.

ZHU Wei, YANG Geng, and CHEN Lei. Improved double random phase coded image encryption algorithm based on chaos[J]. Journal of Photonics, 2014, 34(6): 58-68. doi: 10.3788/AOS201434.0607001.

DENG Xiaopeng. Optical multiple-image encryption based on fully phase encoding and interference[J]. Optik- International Journal for Light and Electron Optics, 2015, 126(21): 3210-3214. doi: 10.1016/j.ijleo.2015.07.148.

CHEN Linfei, LIU Jingyu, and WEN Jisen. A new optical image encryption method based on multi-beams interference and vector composition[J]. Optics Laser Technology, 2015, 69(18): 70-86. doi: 10.1016/j.optlastec.2014.12.007.

曾大奎, 马利红, 刘健. 基于两步正交相移干涉的振幅图像光学加密技术[J]. 光子学报, 2012, 41(1): 72-76. doi: 10.3788/ gzxb20124101.0072.

ZENG Dakui, MA Hongli, and LIU Jian. Optical image encryption based on two step quadrature phase shifting interferometry[J]. Journal of Photonics, 2012, 41(1): 72-76. doi: 10.3788/gzxb20124101.0072.

ADELADE Nicole Kengnou Telem. A simple and robust gray image encryption scheme using chaotic logistic map and artificial neural network[J]. Advances in Multimedia, 2014, 77(1): 1201-1213. doi: 10.1155/2014.602921.

ZHAO Tieyu, RAN Qiwen, and YUAN Lin. Securities of image encryption scheme based on multi-parameter fractional Fourier transform[J]. Optics Communications, 2016, 376(19): 47-51. doi: 10.1016/j.optcom.2016.05.016.

SUN Qiudong, ZUO Jiancun, and SHAO Yufeng. A dual image scrambling method based on discrete cosine transform [J]. Applied Mechanics and Materials, 2016, 556(110): 4722-4725. doi: 10.4028/www.scientific.net/AMM.556-562. 4722.

WAN Qin and XIANG Penng. Asymmetric cryptosystem based on phase-truncated Fourier transforms[J]. Optics Letters, 2010, 35(2): 118-125. doi: 10.1364/OL.35.000118.

WANG Qu, GUO Qing, and LEI Liang. Optical interference- based image encryption using circular harmonic expansion and spherical illumination in gyrator transform domain[J]. Optics Communications, 2015, 346(19): 124-132. doi: 10.1016 /j.optcom.2015.02.040.

王帅, 孙伟, 郭一楠. 一种多混沌快速图像加密算法的设计与分析[J]. 计算机应用研究, 2015, 32(2): 512-515. doi: 10.3969 /j.issn.1001-3695.2015.02.042.

WANG Shuai, SUN Wei, and GUO Yinan. Design and analysis of a fast image encryption algorithm based on chaos [J]. Computer Application Research, 2015, 32(2): 512-515. doi: 10.3969/j.issn.1001-3695.2015.02.042.

侯俊峰, 黄素娟, 司徒国海. 非线性光学图像加密[J]. 光学学报, 2015, 35(8): 85-90. doi: 10.3788/AOS201535.0807001.

HOU Junfeng, HUANG Sujuan, and SITU Guohai. Nonlinear optical image encryption[J]. Acta Optical Sinica, 2015, 35(8): 85-90. doi: 10.3788/AOS201535.0807001.

CHEN Linfei, HE Bingyu, and CHEN Xudong. Optical image encryption based on multi-beam interference and common vector decomposition[J]. Optics Communications, 2016, 361(15): 6-12. doi: 10.1016/j.optcom.2015.10.037.

汪小刚. 基于双随机相位编码和干涉原理的图像加密技术的研究[D]. 浙江大学, 2013, 76-79.

WANG Xiaogang. Research on image encryption based on double random phase encoding and interference theory[D]. Zhejiang University, 2013, 76-79.

任晓霞, 廖晓峰, 熊永红. 基于细胞神经网络超混沌特性的图像加密新算法[J]. 计算机应用研究, 2011, 31(6): 1528-1531. doi: 10.3724/SP.J.1087.2011.01528.

REN Xiaoxia, LIAO Xiaofeng, and XIONG Yonghong. New algorithm of image encryption based on hyperchaos of cellular neural networks[J]. Computer Application Research, 2011, 31(6): 1528-1531. doi: 10.3724/SP.J.1087.2011.01528.

CARNICER A, MONTES-USATEGUI M, ARCOS S, et al. Vulnerability to chosen-cyphertext attacks of optical encryption schemes based on double random phase keys[J]. Optical Letters, 2005, 30(13): 1644-1646. doi: 10.1364/OL.30. 001644.

LI Chengqing. Cracking a hierarchical chaotic image encryption algorithm based on permutation[J]. Signal Processing, 2016, 118(19): 203-211. doi: 10.1016/j.sigpro. 2015.07.008.

XIANG Peng, PAN Zhang, HUANG Wei, et al. Known- plaintext attack on optical encryption based on double random phase keys[J]. Optical Letters, 2006, 31(8): 1044-1046. doi: 10.1109/SOPO.2010.5504346.

施引文献

资源附件(0)

访问统计