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Triple-image visually secure encryption scheme based on newly designed chaotic map and parallel compressive sensing

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Abstract

This paper proposes a novel triple-image visually secure encryption algorithm based on a newly designed chaotic map and parallel compressive sensing (PCS). The discrete wavelet transform (DWT) is used to first decompose the three gray plain images. Next, dynamic Josephus scrambles the coefficient matrices and the partial Hadamard matrix compresses them. Finally, a reversible matrix encoding-based embedding approach is applied to embed the ciphertext information into a color carrier image to create a visually meaningful cipher image. To improve execution efficiency without affecting the security performance, a novel one-dimensional (1D) chaotic system is designed and applied to compression, encryption, and embedding stages. Most existing visual encryption schemes encrypt and embed only a single image. However, in our scheme, three gray images are encrypted and embedded into a single color carrier image at the same time, better meeting the requirements of the big data era and improving encryption efficiency. The simulation results and analyses demonstrate that the proposed scheme is effective and secure.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: The data that support the findings of this study are available from the corresponding author upon reasonable request.]

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Nos: 61701070), China Postdoctoral Science Foundation (No: 2020M680933), the Doctoral Start-up Foundation of Liaoning Province (No: 2018540090).

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Authors and Affiliations

  1. School of Information Science and Technology, Dalian Maritime University, Da’lian, 116026, China

    Xiaoli Wang, Lin Teng, Ziyu Leng & Xingyuan Wang

  2. School of Computer Science and Engineering, Sun Yat-Sen University, Guangzhou, 511400, China

    Donghua Jiang

  3. Guangxi Key Lab of Multi-Source Information Mining & Security, Guangxi Normal University, Guilin, 541004, China

    Xingyuan Wang

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  1. Xiaoli Wang
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Correspondence to Lin Teng.

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Wang, X., Teng, L., Jiang, D. et al. Triple-image visually secure encryption scheme based on newly designed chaotic map and parallel compressive sensing. Eur. Phys. J. Plus 138, 156 (2023). https://doi.org/10.1140/epjp/s13360-023-03755-2

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