光学精密工程2025，Vol.33Issue(4)：624-640,17.DOI:10.37188/OPE.20253304.0624
双超混沌系统结合压缩感知和Fibonacci变换的彩色图像加密
Double hyperchaotic systems combine compressed sensing and Fibonacci transform for color image encryption
摘要
Abstract
In order to solve the problems in the existing chaotic image encryption algorithms,such as the weak chaotic property and low security of low-dimensional chaotic systems,the high transmission cost and large storage space of high-dimensional chaotic systems,as well as the large occupied space and high trans-mission cost of traditional measurement matrices in compressed sensing technology,this paper proposed a color image encryption algorithm combining dual hyperchaotic systems with compressed sensing and Fibo-nacci transformation.Firstly,the Arnold algorithm was optimized through the Lorenz hyperchaotic system to improve security.Secondly,the measurement matrix of compressed sensing was improved by using the 6D hyperchaotic system to reduce space resources and transmission costs.Thirdly,scrambling was per-formed using the 6D hyperchaotic system with a large key space and high security to enhance security.Fi-nally,the Fibonacci Q matrix was used for block diffusion to enhance unpredictability.In addition,the 2D projection gradient embedding decryption algorithm was introduced in image reconstruction.Compared with the traditional reconstruction algorithm,it had higher security and computational efficiency.Experi-mental results show that the information entropy exceeds 7.999,which is closer to the ideal value of 8,the correlation coefficient is close to 0,the rate of pixel number change and the uniform change rate are close to the ideal values of 99.609 4%and 33.463 5%.While effectively protecting the security and integ-rity of the image,it has strong resistance to statistical attacks and differential attacks as well as better ro-bustness.关键词
图像加密/混沌系统/压缩感知/Fibonacci Q矩阵Key words
image encryption/hyperchaotic system/compressed sensing/fibonacci Q-matrix分类
信息技术与安全科学引用本文复制引用
贾静雯,张钊,周红艳,陈雪波..双超混沌系统结合压缩感知和Fibonacci变换的彩色图像加密[J].光学精密工程,2025,33(4):624-640,17.基金项目
国家自然科学基金项目(No.71771112) （No.71771112）
流程工业综合自动化国家重点实验室开放课题基金资助项目(No.PAL-N201801) （No.PAL-N201801）
辽宁省高校基本科研业务费专项资金(No.LJ212410146025) （No.LJ212410146025）
