IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v188y2024ics0960077924010737.html
   My bibliography  Save this article

A multi-image encryption scheme based on block compressive sensing and nonlinear bifurcation diffusion

Author

Listed:
  • Hu, Long-Long
  • Chen, Ming-Xuan
  • Wang, Meng-Meng
  • Zhou, Nan-Run

Abstract

With the frequent cyberattacks and the rapid growth of image data volume, compressive sensing based image encryption algorithms have been widely studied. However, the existing schemes are usually imperfect in terms of encryption capacity, reconstruction quality and security. To address these issues, a novel multi-image encryption scheme is presented based on block compressive sensing and nonlinear bifurcation diffusion. Firstly, a block-level adaptive thresholding sparsification algorithm is devised to optimize the image sparsity and the decryption quality by dynamically adjusting the local thresholds for different wavelet coefficient regions according to their specific features. Secondly, to destroy the inter-block correlations while reduce the transmission burden, the orthogonal Hadamard matrix and the chaotic system are employed to construct a distinct measurement matrix for each image block. Finally, a nonlinear bifurcation diffusion algorithm based on the complete binary tree is developed to enhance the encryption performance through mutual diffusion among non-adjacent pixels. Additionally, the secure hash algorithm is employed to establish a close relation between plaintext images and secret keys to defy the chosen-plaintext attack. Simulation experiments and performance analyses demonstrate the feasibility and the reliability of our presented multi-image encryption scheme. Compared with some newly advanced schemes, our presented multi-image encryption scheme exhibits certain advantages concerning compression performance, key space, and resistance against statistical and differential attacks.

Suggested Citation

  • Hu, Long-Long & Chen, Ming-Xuan & Wang, Meng-Meng & Zhou, Nan-Run, 2024. "A multi-image encryption scheme based on block compressive sensing and nonlinear bifurcation diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
  • Handle: RePEc:eee:chsofr:v:188:y:2024:i:c:s0960077924010737
    DOI: 10.1016/j.chaos.2024.115521
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924010737
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2024.115521?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Zhou, Rong & Yu, Simin, 2024. "Break an enhanced plaintext-related chaotic image encryption algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    2. Darani, A. Yousefian & Yengejeh, Y. Khedmati & Pakmanesh, H. & Navarro, G., 2024. "Image encryption algorithm based on a new 3D chaotic system using cellular automata," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    3. Zhao, Hongyu & Wang, Shengsheng & Wang, Xingyuan, 2022. "Fast image encryption algorithm based on multi-parameter fractal matrix and MPMCML system," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    4. Toktas, Abdurrahim & Erkan, Uğur & Gao, Suo & Pak, Chanil, 2024. "A robust bit-level image encryption based on Bessel map," Applied Mathematics and Computation, Elsevier, vol. 462(C).
    5. Zhou, Shuang & Qiu, Yuyu & Qi, Guoyuan & Zhang, Yingqian, 2023. "A new conservative chaotic system and its application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    6. Huang, Shufeng & Jiang, Donghua & Wang, Qianxue & Guo, Mingwei & Huang, Linqing & Li, Weijun & Cai, Shuting, 2022. "High-quality visually secure image cryptosystem using improved Chebyshev map and 2D compressive sensing model," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    7. Hu, Long-Long & Chen, Ming-Xuan & Wang, Meng-Meng & Zhou, Nan-Run, 2024. "A multi-image encryption scheme based on block compressive sensing and nonlinear bifurcation diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    8. Liu, Xinkang & Sun, Kehui & Wang, Huihai & He, Shaobo, 2023. "A class of novel discrete memristive chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    9. Ye, Guodong & Wu, Huishan & Liu, Min & Huang, Xiaoling, 2023. "Reversible image-hiding algorithm based on singular value sampling and compressive sensing," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    10. Man, Zhenlong & Li, Jinqing & Di, Xiaoqiang & Sheng, Yaohui & Liu, Zefei, 2021. "Double image encryption algorithm based on neural network and chaos," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    11. Yan, Xiaopeng & Hu, Qing & Teng, Lin & Su, Yining, 2024. "Unmanned ship image encryption method based on a new four-wing three-dimensional chaotic system and compressed sensing," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    12. Demirkol, Ahmet Samil & Sahin, Muhammet Emin & Karakaya, Baris & Ulutas, Hasan & Ascoli, Alon & Tetzlaff, Ronald, 2024. "Real time hybrid medical image encryption algorithm combining memristor-based chaos with DNA coding," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hu, Long-Long & Chen, Ming-Xuan & Wang, Meng-Meng & Zhou, Nan-Run, 2024. "A multi-image encryption scheme based on block compressive sensing and nonlinear bifurcation diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chai, Xiuli & Shang, Guangyu & Wang, Binjie & Gan, Zhihua & Zhang, Wenkai, 2024. "Exploiting 2D-SDMCHM and matching embedding driven by flag-shaped hexagon prediction for visually meaningful medical image cryptosystem," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    2. Zhao, Mingjie & Li, Lixiang & Yuan, Zheng, 2024. "A multi-image encryption scheme based on a new n-dimensional chaotic model and eight-base DNA," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    3. Long, Guoqiang & Chai, Xiuli & Gan, Zhihua & Jiang, Donghua & He, Xin & Sun, Mengge, 2023. "Exploiting one-dimensional exponential Chebyshev chaotic map and matching embedding for visually meaningful image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    4. Lu, Yang & Gong, Mengxin & Gan, Zhihua & Chai, Xiuli & Cao, Lvchen & Wang, Binjie, 2023. "Exploiting one-dimensional improved Chebyshev chaotic system and partitioned diffusion based on the divide-and-conquer principle for 3D medical model encryption," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    5. Mayada Abualhomos & Abderrahmane Abbes & Gharib Mousa Gharib & Abdallah Shihadeh & Maha S. Al Soudi & Ahmed Atallah Alsaraireh & Adel Ouannas, 2023. "Bifurcation, Hidden Chaos, Entropy and Control in Hénon-Based Fractional Memristor Map with Commensurate and Incommensurate Orders," Mathematics, MDPI, vol. 11(19), pages 1-19, October.
    6. Othman Abdullah Almatroud & Viet-Thanh Pham & Giuseppe Grassi & Mohammad Alshammari & Sahar Albosaily & Van Van Huynh, 2023. "Design of High-Dimensional Maps with Sine Terms," Mathematics, MDPI, vol. 11(17), pages 1-10, August.
    7. SaberiKamarposhti, Morteza & Ghorbani, Amirabbas & Yadollahi, Mehdi, 2024. "A comprehensive survey on image encryption: Taxonomy, challenges, and future directions," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    8. Bowen Zhang & Lingfeng Liu, 2023. "Chaos-Based Image Encryption: Review, Application, and Challenges," Mathematics, MDPI, vol. 11(11), pages 1-39, June.
    9. Zhang, Wenjing & Li, Jianing & Zhao, Bing, 2024. "On a method of constructing a biaxial multitype conservative chaotic system and an image encryption scheme," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    10. Ding, Dawei & Wang, Wei & Yang, Zongli & Hu, Yongbing & Wang, Jin & Wang, Mouyuan & Niu, Yan & Zhu, Haifei, 2023. "An n-dimensional modulo chaotic system with expected Lyapunov exponents and its application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    11. Zuo, Jiangang & Zhang, Jie & Wei, Xiaodong & Yang, Liu & Cheng, Nana & Lv, Jiliang, 2024. "Design and application of multisroll conservative chaotic system with no-equilibrium, dynamics analysis, circuit implementation," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    12. Pai Liu & Shihua Zhou & Wei Qi Yan, 2022. "A 3D Cuboid Image Encryption Algorithm Based on Controlled Alternate Quantum Walk of Message Coding," Mathematics, MDPI, vol. 10(23), pages 1-26, November.
    13. Diao, Yifeng & Huang, Shufeng & Huang, Linqing & Xiong, Xiaoming & Yang, Jian & Cai, Shuting, 2024. "Generating any number of multi-butterfly chaotic attractors via a novel memristor with only one internal function," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    14. Huang, Yibo & Wang, Ling & Li, Zhiyong & Zhang, Qiuyu, 2024. "A new 3D robust chaotic mapping and its application to speech encryption," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    15. Cang, Shijian & Wang, Luo & Zhang, Yapeng & Wang, Zenghui & Chen, Zengqiang, 2022. "Bifurcation and chaos in a smooth 3D dynamical system extended from Nosé-Hoover oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    16. Yangxin Luo & Yuanyuan Huang & Fei Yu & Diqing Liang & Hairong Lin, 2024. "Adaptive Asymptotic Shape Synchronization of a Chaotic System with Applications for Image Encryption," Mathematics, MDPI, vol. 13(1), pages 1-18, December.
    17. Jie, Jingfeng & Zhang, Ping & Yang, Yang & Sui, Qingru, 2024. "Exploring the dynamic behavior of system model construction with unknown parameters and achieving synchronous control of fuzzy neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    18. Man, Zhenlong, 2023. "Biometric information security based on double chaotic rotating diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    19. Fan, Zhenyi & Zhang, Chenkai & Wang, Yiming & Du, Baoxiang, 2023. "Construction, dynamic analysis and DSP implementation of a novel 3D discrete memristive hyperchaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    20. Yang, Jie & Li, Chunbiao & Zhang, Qian & Zhang, Xin & Wu, Zhihao & Zhong, Haidong & Liu, Peiqiao & Liu, Zuohua & Tao, Changyuan & Huang, Keyu & Li, Jiaxing & Zheng, Guocan, 2024. "A memristive hyperchaotic oscillator with complete control and its application in the electrolysis of manganese," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:188:y:2024:i:c:s0960077924010737. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.