基于螺旋光栅相位和分数Fourier的光学图像加密算法  

Optical image encryption algorithm based on spiral grating phase and fractional Fourier

作　　者：车凯 王海翔 白林亭 文鹏程[1] 杨芷柔 赵洪东 CHE Kai;WANG Haixiang;BAI Linting;WEN Pengcheng;YANG Zhirou;ZHAO Hongdong(Xi'an Aeronautics Computing Technique Research Institute,AVIC,Xi'an 710065,China;School of Computer Science,Northwestern Polytechnical University,Xi'an 710072,China;Faculty of Computing,Harbin Institute of Technology,Harbin 150001,China)

机构地区：[1]中航工业西安航空计算技术研究所,西安710065 [2]西北工业大学计算机学院,西安710072 [3]哈尔滨工业大学计算学部,哈尔滨150001

出　　处：《智能计算机与应用》2023年第2期81-85,91,共6页Intelligent Computer and Applications

基　　金：国防科技创新特区项目(20-163-01-ZT-004-102-01)。

摘　　要：针对传统图像加密算法鲁棒性不足的问题,本文提出了一种基于螺旋光栅相位和分数Fourier的光学图像加密算法。该算法在密码学及利用分数傅里叶变换频域处理算法进行图像加密的基础上,引入了错位光栅生成的涡旋光束,作为部分加密密钥的思想。首先,利用螺旋相位变换自行设计加密图像的螺旋相位,作为一种加密密钥;其次,使用计算全息法模拟生成的涡旋光束,作为另一种加密密钥;最后,将上述两种密钥组合,生成最终的加密密钥,并利用分数傅里叶变换进行光学图像加密。经统计直方图分析、信息熵分析、差异性分析和抗噪声攻击能力分析等实验结果表明,本算法具有很好的鲁棒性和安全性。To deal with the problem of insufficient robustness of traditional image encryption algorithms,an optical image encryption algorithm based on spiral grating phase and fractional Fourier is proposed.Based on cryptography and optical image encryption by the frequency-domain algorithm of fractional Fourier transform,the idea that the vortex beam generated by dislocation grating is used as the partial encryption key is introduced in this algorithm.Firstly,the spiral phase of the encrypted image is designed as an encryption key.Secondly,the vortex beam generated by computational holography is used as another encryption key.Finally,the two keys are combined to generate the final encryption key,and the fractional Fourier transform is used to encrypt the image.The experiments of statistical histogram analysis,information entropy analysis,difference analysis and anti-noise capability analysis show that this algorithm has good robustness and security.

关 键 词：光学图像加密 螺旋相位变换 涡旋光束 分数傅里叶变换 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]