基于回转器变换与非等模分解的光学加密算法  

Multiple color image optical encryption based on Gyrator transform and unequal modulus decomposition

作　　者：李培[1] 朱春华[2] LI Pei;ZHU Chunhua(School of Culture and Arts,Zhengzhou Tourism Vocational College,Zhengzhou Henan 450009,China;School of Information Science and Engineering,Henan University of Technology,Zhengzhou Henan 450001,China)

机构地区：[1]郑州旅游职业学院文化艺术学院,河南郑州450009 [2]河南工业大学信息科学与工程学院,河南郑州450001

出　　处：《太赫兹科学与电子信息学报》2022年第5期470-478,共9页Journal of Terahertz Science and Electronic Information Technology

基　　金：国家自然科学基金资助项目(61871176);河南省高等学校重点科研项目应用研究计划(202102110265);河南省高等学校青年骨干教师培养计划(2019GZGG083)河南省科技厅重点基金资助项目(172102210230);河南工业大学创新基金计划(2020ZKCJ02)。

摘　　要：为解决当前基于干涉的多图像密码系统中易出现轮廓和串扰噪声问题,设计了基于回转器(Gyrator)变换与非等模矢量分解的多彩色图像非对称光学加密算法。将所有彩色图像分解成红、绿、蓝三基色分量,再对每种颜色分类叠加,融合成三通道形式;利用Logistic映射生成随机相位掩码,对叠加后的颜色分量进行调制处理。将调制后的图像分量分别在Gyrator变换域下进行旋转变换,形成3个复杂分布函数。利用非等模矢量分解方法,将其分解成振幅和相位均不相同的2个矢量,并将其中一个视为固定的共享矢量,另一个作为解密矢量。对共享矢量实施Gyrator逆变换,输出最终的密码图像。实验数据显示,较已有的多目标加密技术而言,该算法具备更强的抗破译能力,可以更好地解决串扰噪声问题。In order to eliminate the problems of the silhouette and crosstalk noise in the interferencebased and multiple image cryptosystems,an asymmetric optical cryptography mechanism for multiple color images based on Gyrator transform and unequal modulus vector decomposition is designed.Firstly,all color images are decomposed into three primary color components of red,green and blue.Then,each color is classified and superimposed,and fused into a three-channel form.The random phase mask is generated by Logistic mapping to modulate the superimposed color components.Secondly,the modulated image components are rotated under the Gyrator transform domain to form three complex distribution functions.Thirdly,it is decomposed into two vectors with different amplitudes and phases,the first vector is a fixed shared,and the second vector is a different decrypted.Finally,the shared vector is further applied with inverse Gyrator transform to produce the final password image.The encryption process is characterized by no contour,no crossover and high sensitivity.Experimental data show that the proposed algorithm has stronger anti-cracking ability than the existing multi-target encryption technology,which can better solve the problem of crosstalk noise.

关 键 词：光学图像加密 LOGISTIC映射 Gyrator变换 非等模分解 串扰噪声 共享矢量 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]