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Image Encryption Algorithm Based on Plane-Level Image Filtering and Discrete Logarithmic Transform

Author

Listed:
  • Wei Feng

    (School of Mathematics and Computer Science, Panzhihua University, Panzhihua 617000, China)

  • Xiangyu Zhao

    (School of Electrical and Information Engineering, Panzhihua University, Panzhihua 617000, China)

  • Jing Zhang

    (School of Mathematics and Computer Science, Panzhihua University, Panzhihua 617000, China)

  • Zhentao Qin

    (School of Mathematics and Computer Science, Panzhihua University, Panzhihua 617000, China)

  • Junkun Zhang

    (School of Mathematics and Computer Science, Panzhihua University, Panzhihua 617000, China)

  • Yigang He

    (School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, China)

Abstract

Image encryption is an effective way to protect image data. However, existing image encryption algorithms are still unable to strike a good balance between security and efficiency. To overcome the shortcomings of these algorithms, an image encryption algorithm based on plane-level image filtering and discrete logarithmic transformation (IEA-IF-DLT) is proposed. By utilizing the hash value more rationally, our proposed IEA-IF-DLT avoids the overhead caused by repeated generations of chaotic sequences and further improves the encryption efficiency through plane-level and three-dimensional (3D) encryption operations. Aiming at the problem that common modular addition and XOR operations are subject to differential attacks, IEA-IF-DLT additionally includes discrete logarithmic transformation to boost security. In IEA-IF-DLT, the plain image is first transformed into a 3D image, and then three rounds of plane-level permutation, plane-level pixel filtering, and 3D chaotic image superposition are performed. Next, after a discrete logarithmic transformation, a random pixel swapping is conducted to obtain the cipher image. To demonstrate the superiority of IEA-IF-DLT, we compared it with some state-of-the-art algorithms. The test and analysis results show that IEA-IF-DLT not only has better security performance, but also exhibits significant efficiency advantages.

Suggested Citation

  • Wei Feng & Xiangyu Zhao & Jing Zhang & Zhentao Qin & Junkun Zhang & Yigang He, 2022. "Image Encryption Algorithm Based on Plane-Level Image Filtering and Discrete Logarithmic Transform," Mathematics, MDPI, vol. 10(15), pages 1-24, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:15:p:2751-:d:879299
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    References listed on IDEAS

    as
    1. Gao, Tiegang & Chen, Zengqiang & Yuan, Zhuzhi & Yu, Dongchuan, 2007. "Adaptive synchronization of a new hyperchaotic system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 922-928.
    2. Wang, Xingyuan & Xue, Wenhua & An, Jubai, 2020. "Image encryption algorithm based on Tent-Dynamics coupled map lattices and diffusion of Household," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    3. Wang, Xingyuan & Chen, Xuan, 2021. "An image encryption algorithm based on dynamic row scrambling and Zigzag transformation," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    4. Wei Feng & Jing Zhang & Zhentao Qin & Ahmed A. Abd El-Latif, 2021. "A Secure and Efficient Image Transmission Scheme Based on Two Chaotic Maps," Complexity, Hindawi, vol. 2021, pages 1-19, November.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Mingxu Wang & Xianping Fu & Xiaopeng Yan & Lin Teng, 2024. "A New Chaos-Based Image Encryption Algorithm Based on Discrete Fourier Transform and Improved Joseph Traversal," Mathematics, MDPI, vol. 12(5), pages 1-19, February.
    2. Alexandru Dinu, 2024. "Singularity, Observability, and Independence: Unveiling Lorenz’s Cryptographic Potential," Mathematics, MDPI, vol. 12(18), pages 1-12, September.
    3. Gao, Suo & Iu, Herbert Ho-Ching & Mou, Jun & Erkan, Uğur & Liu, Jiafeng & Wu, Rui & Tang, Xianglong, 2024. "Temporal action segmentation for video encryption," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    4. Ramalingam Sriraman & Ohmin Kwon, 2024. "Global Exponential Synchronization of Delayed Quaternion-Valued Neural Networks via Decomposition and Non-Decomposition Methods and Its Application to Image Encryption," Mathematics, MDPI, vol. 12(21), pages 1-35, October.

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