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Stereo image encryption using vector decomposition and symmetry of 2D-DFT in quaternion gyrator domain

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Abstract

This paper introduces a novel encryption framework for stereo image. Firstly, both views of a stereo image are decomposed into four plates, which are constituted into a full quaternion matrix. Followed by block-wise quaternion gyrator transform, then different parts of the interim results are shared by orthogonal matrix and spliced together. According to the conjugate symmetry of two-dimensional discrete Fourier spectrum, a real-valued ciphertext can be obtained by superposing real and imaginary parts of the half spectrum. Among them, two-dimensional logistic-Sine-coupling map is employed for generating phase masks, rotation angles and shared coefficients, which greatly enhances the security of the cryptosystem. Numerical simulation results demonstrate the feasibility and reliability of the proposed encryption scheme.

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Data availability

The dataset used during the current study is available in https://vision.middlebury.edu/stereo/data/scenes2005/

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Acknowledgement

This work was supported by the National Natural Science Foundation of China (61876112, 61601311). The authors would like to greatly appreciate the reviewers’ valued comments and suggestions which have improved this article.

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Authors and Affiliations

  1. College of Information Engineering, Capital Normal University, Beijing, 100048, China

    Zhuhong Shao, Leding Li, Xiaoxu Zhao & Yuanyuan Shang

  2. School of Electronic Information, Zhongyuan University of Technology, Zhengzhou, 450007, China

    Bicao Li

  3. College of Data Science, Taiyuan University of Technology, Taiyuan, 030024, China

    Xilin Liu

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  1. Zhuhong Shao
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  2. Leding Li
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  3. Xiaoxu Zhao
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  4. Bicao Li
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  5. Xilin Liu
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Correspondence to Zhuhong Shao.

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Shao, Z., Li, L., Zhao, X. et al. Stereo image encryption using vector decomposition and symmetry of 2D-DFT in quaternion gyrator domain. Multimed Tools Appl 83, 29667–29687 (2024). https://doi.org/10.1007/s11042-023-16755-2

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  • DOI: https://doi.org/10.1007/s11042-023-16755-2

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