Chaotic CS Encryption:An Efficient Image Encryption Algorithm Based on Chebyshev Chaotic System and Compressive Sensing  

作　　者：Mingliang Sun Jie Yuan Xiaoyong Li Dongxiao Liu 

机构地区：[1]Key Laboratory of Trustworthy Distributed Computing and Service(BUPT),Ministry of Education,Beijing University of Posts and Telecommunications,Beijing,100876,China

出　　处：《Computers, Materials & Continua》2024年第5期2625-2646,共22页计算机、材料和连续体（英文）

基　　金：the National Natural Science Foundation of China(Nos.62002028,62102040 and 62202066).

摘　　要：Images are the most important carrier of human information. Moreover, how to safely transmit digital imagesthrough public channels has become an urgent problem. In this paper, we propose a novel image encryptionalgorithm, called chaotic compressive sensing (CS) encryption (CCSE), which can not only improve the efficiencyof image transmission but also introduce the high security of the chaotic system. Specifically, the proposed CCSEcan fully leverage the advantages of the Chebyshev chaotic system and CS, enabling it to withstand various attacks,such as differential attacks, and exhibit robustness. First, we use a sparse trans-form to sparse the plaintext imageand then use theArnold transformto perturb the image pixels. After that,we elaborate aChebyshev Toeplitz chaoticsensing matrix for CCSE. By using this Toeplitz matrix, the perturbed image is compressed and sampled to reducethe transmission bandwidth and the amount of data. Finally, a bilateral diffusion operator and a chaotic encryptionoperator are used to perturb and expand the image pixels to change the pixel position and value of the compressedimage, and ultimately obtain an encrypted image. Experimental results show that our method can be resistant tovarious attacks, such as the statistical attack and noise attack, and can outperform its current competitors.

关 键 词：Image encryption chaotic system compressive sensing arnold transform 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]