计算机科学 ›› 2025, Vol. 52 ›› Issue (12): 400-410.doi: 10.11896/jsjkx.241100045

• 信息安全 • 上一篇    下一篇

基于新型混沌系统和二进制块压缩感知的图像加密算法

范海菊1, 岳爽1, 窦育强1, 李名1, 张明珠2   

  1. 1 河南师范大学计算机与信息工程学院 河南 新乡 453007
    2 电子科技大学信息与通信工程学院 成都 611731
  • 收稿日期:2024-11-07 修回日期:2025-02-09 出版日期:2025-12-15 发布日期:2025-12-09
  • 通讯作者: 窦育强(douyuqiang@htu.edu.cn)
  • 作者简介:(121064@htu.edu.cn)
  • 基金资助:
    河南省科技攻关计划(252102210181);河南省高等学校重点科研项目(23A520009,25A520028)

Image Encryption Algorithm Based on Novel Chaotic System and Binary Block CompressedSensing

FAN Haiju1, YUE Shuang1, DOU Yuqiang1, LI Ming1, ZHANG Mingzhu2   

  1. 1 School of Computer and Information Engineering, Henan Normal University, Xinxiang, Henan 453007, China
    2 School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China
  • Received:2024-11-07 Revised:2025-02-09 Published:2025-12-15 Online:2025-12-09
  • About author:FAN Haiju,born in 1979,Ph.D,professor,Ph.D supervisor.Her main research interests include image encryption,information hiding and cryptanalysis.
    DOU Yuqiang,born in 1980,Ph.D.His main research interests include image information security and audio signal processing.
  • Supported by:
    This work was supported by the Henan Province Science and Technology Project(252102210181) and Key Program of the Higher Education Institutions of Henan Province(23A520009,25A520028).

摘要: 提出了一个适合在嵌入式设备上实现的基于新型整数混沌系统和二进制块压缩感知(Block Compressed Sensing,BCS)的图像加密方案。首先,设计了一个一维变参数扰动整数混沌系统;然后,在压缩感知过程中,利用该整数混沌系统生成一个二进制测量矩阵来减少嵌入式设备进行压缩时的计算量;为进一步提高压缩感知效率,对原始图像进行分块处理;最后,对图像进行扩散处理,以实现二次加密。解密部分使用PL(Projected Landweber)算法和wiener滤波器来加速解密,提高了图像的解密质量。仿真实验和性能分析表明,提出的整数混沌系统具有较好的混沌特性,当计算机字长为32时,其李雅普诺夫指数总是在20.2以上。基于该混沌系统所提出的图像加密方案不仅能获得较高的图像解密质量,而且具有很高的安全性能,可以抵抗常见的攻击手段。

关键词: 图像加密, 新型整数混沌系统, 块压缩感知, 测量矩阵, 嵌入式设备

Abstract: An image encryption scheme based on novel integer chaotic system and block compressed sensing(BCS) is proposed for embedded devices.Firstly,an integer chaotic system is designed by perturbing one-dimensional variable parameters.Then,in the compressed sensing process,the integer chaotic system is used to generate a binary measurement matrix to reduce the computation amount of embedded devices.In order to further improve the efficiency of compressed sensing,the original image is processed in blocks.Finally,the image is diffused to achieve secondary encryption.In the decryption part,PL algorithm and wiener filter are used to accelerate the decryption and improve the decryption quality of the image.Simulation experiments and performance analysis show that the proposed integer chaotic system has good chaotic characteristics.When the computer word length is 32,its Lyapunov index is always above 20.2.The image encryption scheme based on the chaotic system has high decryption quality,high security performance,and can resist common attack means.

Key words: Image encryption, New chaotic system, Block compressed sensing, Measurement matrix, Embedded devices

中图分类号: 

  • TP309
[1]JAMES D,PRIYA T L.An innovative approach for dynamic key depedent S-Box to enhance security of IoT system[J].Measurement:Seneors,2023,30:100923.
[2]ZHANG G J,LIU Q.A novel image encryption method based on total shuffling scheme[J].Optics Communications,2011,284(12):2775-2780.
[3]CHAI X L,BI J Q,GAN Z H,et al.Color image compression and encryption scheme based on compressive sensing and double random encryption strategy[J].Signal Processing,2020,176:107684.
[4]KOCAK O,ERKAN U,TOKTAS A,et al.PSO-based image encryption scheme using modular integrated logistic exponential map[J].Expert Systems with Applications,2024,237:121452.
[5]MALINOWSKI A,YU H.Comparison of embedded system design for industrial applications[J].IEEE Transactions on Industrial Informatics,2011,7(2):244-254.
[6]DONOHO D L.Compressed sensing[J].IEEE Transactions on Information Theory,2006,52(4):1289-1306.
[7]LIU X Y,CAO Y P,LU P.Research on optical image encryption technique with compressed sensing[J].Acta Optica Sinica,2014,34(3):99-107.
[8]XU Q Y,SUN K H,HE S B,et al.An effective image encryption algorithm based on compressive sensing and 2D-SLIM[J].Optics and Lasers in Engineering,2020,134:106178.
[9]YANG Y G,CAO G D.New image encryption algorithm based on double chaotic system and compressive sensing[J].Chinese Journal of Network and Information Security,2022,8(5):88-97.
[10]DU Y,LONG G Q,JIANG D H,et al.Optical image encryption algorithm based on a new four-dimensional memristive hyperchaotic system and compressed sensing[J].Chinese Physics B,2023,32(11):494-513.
[11]YAN X P,HU Q,TENG L,et al.Unmanned ship image encryption method based on a new four-wing three-dimensional chaotic system and compressed sensing[J].Chaos,Solitons & Fractals,2024,185:115146.
[12]CANDÈS E J,ROMBERG J,TAO T.Robust uncertainty principles:Exact signal reconstruction from highly incomplete frequency information[J].IEEE Transactionson Information Theo-ry,2006,52(2):489-509.
[13]GAN L.Block compressed sensing of natural images[C]//2007 15th International Conference on Digital Signal Processing.IEEE,2007:403-406.
[14]SHI Y D,CHEN R R,LIU D L,et al.A visually secure image encryption scheme based on adaptive block compressed sensing and non-negative matrix factorization[J].Optics and Laser Technology,2023,163:109345.
[15]CHAI X L,SHANG G Y,CAO L C,et al.A novel multi-scroll hyperchaotic system applicable for visually secure image cryptosystem using block compressive sensing[J].Nonlinear Dynami-cs,2024,112(2):1439-1468.
[16]LUO Y L,LIANG Y T,ZHANG S S,et al.An image encryption scheme based on block compressed sensing and Chen’s system[J].Nonlinear Dynamics,2023,111(7):6791-6811.
[17]CHAI X L,FU J Y,GAN Z H,et al.An image encryptionscheme based on multi-objective optimization and block compressed sensing[J].Nonlinear Dynamics,2022,108(3):2671-2704.
[18]CANDÈS E J,PLAN Y.A probabilistic and RIPless theory of compressed sensing[J].IEEE Transactions on Information Theo-ry,2011,57(11):7235-7254.
[19]HUA Z Y,ZHU Z H,YI S,et al.Cross-plane colour image encryption using a two-dimensional logistic tent modular map[J].Information Sciences,2021,546:1063-1083.
[20]LIU J D,ZHANG X,ZHAO C,et al.Dynamic integer tent map and its characteristics analysis[J].Computer Science,2016,43(11):226-229.
[21]AMIGO J M,KOCAREV L,SZCZEPANSKI J.Theory andpractice of chaotic cryptography[J].Physics Letters A,2007,366(3):211-216.
[22]ZANG H Y,CHAI H Y.Homogenization and entropy analysis of a quadratic polynomial chaotic system[J].Acta Physica Sinica,2016,65(3):72-78.
[23]FARAH M A B,FARAH A,FARAH T.An image encryption scheme based on a new hybrid chaotic map and optimized substitution box[J].Nonlinear Dynamics,2020,99(4):3041-3064.
[24]GAN Z H,CHAI X L,ZHANG J T,et al.An effective image compression-encryption scheme based on compressive sensing(CS) and game of life(GOL)[J].Neural Computing and Applications,2020,32(17):14113-14141.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!