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)

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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

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