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A visually secure image encryption scheme using newly designed 1D sinusoidal chaotic map and P-tensor product compressive sensing

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Abstract

The traditional image encryption method is to encrypt the plain image (PLI) into a noise-like encrypted image (EI), which can hide the information of the PLI well. However, when the EI is transmitted over the Internet, it is easy to attract the attention of hackers due to its special appearance, and the probability of EI being attacked is also greatly improved. To solve this problem, a visually secure image encryption scheme (VSIES) is proposed in this paper by using the newly designed one-dimensional sinusoidal chaotic (1-DSC) map, P-tensor product compressive sensing and discrete U transform (DUT). First, a key generation mechanism is designed where the secure hash algorithm SHA-512 is used to generate the key parameters. Then, this key is used to control the 1-DSC map to generate a measurement matrix, and the sparse coefficient matrix of the PLI is measured. Next, a double zigzag confusion method is designed to scramble the measurement values and the obtained image is diffused to find the secret image (SE). Finally, in order to randomly embed SE into a carrier image to obtain a cipher image with visually meaningful, a DUT-based embedding technique is proposed. The experimental results show that the information entropy value of the SE generated by the encryption scheme is close to 8, which proves that our encryption scheme has a good encryption effect. The visual security (VIS) of our encrypted images is 10–15 dB higher than some existing VSIES, which fully proves that our proposed encryption scheme has high VIS.

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Acknowledgements

All the authors are deeply grateful to the editors for smooth and fast handling of the manuscript. The authors would also like to thank Ang Li for his good advice and the anonymous referees for their valuable suggestions to improve the quality of this paper.

Funding

This work is supported by the National Natural Science Foundation of China (Grant Nos. 61802111, 61872125), the Science and Technology Project of Henan Province (Grant Nos. 232102210109, 232102210096), Key Scientific Research Projects of Colleges and Universities of Henan Province (Grant No. 24A520003), Pre-research Project of SongShan Laboratory (Grant No. YYJC012022011) and the Graduate Talent Program of Henan University (Grant Nos. SYLYC2022193 and SYLAL2023020).

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Authors and Affiliations

  1. School of Software, Intelligent Data Processing Engineering Research Center of Henan Province, Institute of Intelligent Network System, Henan University, Kaifeng, 475004, China

    Zhihua Gan, Baozhu Xiong, Zilong Pang & Xin He

  2. School of Artificial Intelligence, Henan Key Laboratory of Big Data Analysis and Processing, Henan University, Zhengzhou, 450046, China

    Xiuli Chai

  3. Henan Key Laboratory of Cyberspace Situation Awareness, Zhengzhou, 450001, China

    Xiuli Chai

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

    Donghua Jiang

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  1. Zhihua Gan
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Contributions

All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by ZG, BX, ZP, XC, DJ, and XH. The first draft of the manuscript was written by ZG, BX, and ZP. All authors commented on this version of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Zilong Pang or Xiuli Chai.

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Gan, Z., Xiong, B., Pang, Z. et al. A visually secure image encryption scheme using newly designed 1D sinusoidal chaotic map and P-tensor product compressive sensing. Nonlinear Dyn 112, 2979–3001 (2024). https://doi.org/10.1007/s11071-023-09203-1

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  • DOI: https://doi.org/10.1007/s11071-023-09203-1

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