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Color Image Encryption Algorithm Based on Cross-Spiral Transformation and Zone Diffusion

Author

Listed:
  • Xiaoqiang Zhang

    (School of Information and Control Engineering, China University of Mining and Technology, Xuzhou 221116, China)

  • Mi Liu

    (School of Information and Control Engineering, China University of Mining and Technology, Xuzhou 221116, China)

  • Xiaochang Yang

    (School of Information and Control Engineering, China University of Mining and Technology, Xuzhou 221116, China)

Abstract

Due to their rich information, color images are frequently utilized in many different industries, but the network’s security in handling their delivery of images must be taken into account. To improve the security and efficiency of color images, this paper proposed a color image encryption algorithm based on cross-spiral transformation and zone diffusion. The proposed algorithm is based on Chen’s system and the piecewise linear chaotic map, and uses the chaotic sequences generated by them for related operations. Firstly, the R, G and B planes are extracted, and the spiral starting point of each plane is randomly selected by the chaotic sequence to implement the cross-spiral transformation. Secondly, the bit-level image matrix is constructed by the scrambled image matrix, and the bit-level chaotic matrix is constructed by the chaotic sequence. Finally, the three-dimensional matrix is divided into four zones by a dividing line, and partition diffusion is carried out to obtain the encrypted image. Simulation results and algorithm analyses indicate that the proposed algorithm has superior performance and can resist a wide range of attacks.

Suggested Citation

  • Xiaoqiang Zhang & Mi Liu & Xiaochang Yang, 2023. "Color Image Encryption Algorithm Based on Cross-Spiral Transformation and Zone Diffusion," Mathematics, MDPI, vol. 11(14), pages 1-28, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3228-:d:1200036
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    References listed on IDEAS

    as
    1. Zhu, Hegui & Dai, Lewen & Liu, Yating & Wu, Lijun, 2021. "A three-dimensional bit-level image encryption algorithm with Rubik’s cube method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 754-770.
    2. Zou, Chengye & Wang, Xingyuan & Zhou, Changjun & Xu, Shujuan & Huang, Chun, 2022. "A novel image encryption algorithm based on DNA strand exchange and diffusion," Applied Mathematics and Computation, Elsevier, vol. 430(C).
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    4. Huiyan Zhong & Guodong Li & Xiangliang Xu & Xiaoming Song, 2022. "Image Encryption Algorithm Based on a Novel Wide-Range Discrete Hyperchaotic Map," Mathematics, MDPI, vol. 10(15), pages 1-23, July.
    5. Yu, Jinwei & Xie, Wei & Zhong, Zhenyu & Wang, Huan, 2022. "Image encryption algorithm based on hyperchaotic system and a new DNA sequence operation," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
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    Cited by:

    1. Dan He & Zhanchuan Cai & Dujuan Zhou & Zhihui Chen, 2024. "Inter-Channel Correlation Modeling and Improved Skewed Histogram Shifting for Reversible Data Hiding in Color Images," Mathematics, MDPI, vol. 12(9), pages 1-19, April.
    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).

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