基于分数阶Chen超混沌系统和压缩感知的可视化图像加密算法  

Visual Image Encryption Algorithm Based on Fractional-order Chen Hyperchaotic System and Compressive Sensing

作　　者：蒋东华 刘立东[1] 陈颖频 王兴元[3] 孙珂 JIANG Dong-hua;LIU Li-dong;CHEN Ying-pin;WANG Xing-yuan;SUN Ke(School of Information Engineering,Chang′an University,Xi′an 710064,China;School of Physics and Information Engineering,Minnan Normal University,Zhangzhou 363000,China;School of Information Science and Technology,Dalian Maritime University,Dalian 116026,China;School of Software,Heilongjiang University,Harbin 150080,China)

机构地区：[1]长安大学信息工程学院,西安710064 [2]闽南师范大学物理与信息工程学院,福建漳州363000 [3]大连海事大学信息科学技术学院,辽宁大连116026 [4]黑龙江大学软件学院,哈尔滨150080

出　　处：《小型微型计算机系统》2022年第11期2387-2393,共7页Journal of Chinese Computer Systems

基　　金：国家自然科学基金项目(61701043)资助;陕西省科技计划项目(2020JM-220,2020JQ-351)资助;福建省自然科学基金项目(2020J05169)资助;福建省中青年教师科研教育项目(JAT190378,JAT190393,JAT190382)资助。

摘　　要：本文基于分数阶Chen超混沌系统,压缩感知以及伯恩斯坦多项式嵌入提出了一具有视觉意义的图像加密算法,其旨在同时实现对图像数据和图像外形的双重保护.整个的加密过程主要由预加密和嵌入这两个阶段组成.在预加密阶段,首先利用Arnold置乱和由改进型Sine映射所产生的受控测量矩阵对明文图像的小波系数进行加密和压缩.接着再将加密数据线性量化到0到255之间以产生类噪声秘密图像.同时为了降低遭到攻击的可能性,在嵌入阶段中,本文采用伯恩斯坦多项式嵌入将类噪声秘密图像隐藏到某一可公开获取的载体图像中以生成具有视觉意义的密文图像.另外,明文特征值用于生成加密过程中的密码流,从而提高了加密算法抵抗明文攻击的能力.最后,仿真实验和安全性分析表明本文提出的加密算法是有效的,同时具有很好的视觉安全性和解密质量.In this paper,a visually meaningful image encryption algorithm is proposed based on the fractional-order Chen hyperchaotic system,compressive sensing and Bernstein polynomial embedding,which aims to simuitaneously achieve double protection of image data and image appearance.The entire encryption process is mainly composed of two stages:pre-encryption and embedding.In the pre-encryption stage,first,the wavelet coefficients of the plain image are encrypted and compressed via the Arnold confusion and the key-controlled measurement matrix generated by the improved Sine map.Next,the encrypted data is linearly quantized between 0 and 255 to generate a noise-like secret image.Meanwhile,to reduce the possibility of being attacked,in the embedding stage,Bernstein polynomial embedding is adopted to hide the noise-like secret image in a publicly available carrier image to generate a visually meaningful cipher image.Additionally,the plaintext eigenvalue is utilized to generate the keystream in the encryption process,thereby improving the ability of the encryption algorithm to withstand the plaintext attacks.Finally,simulation experiments and security analysis indicate that the proposed encryption algorithm is effective,and has good visual security and decryption quality.

关 键 词：图像压缩与加密 有视觉意义的密文图像 分数阶混沌系统 压缩感知 伯恩斯坦多项式 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]