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Double image encryption based on symmetry of 2D-DFT and equal modulus decomposition

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Abstract

This paper introduces a double image encryption scheme mainly based on symmetry of two-dimensional discrete Fourier transform (2D-DFT) and equal modulus decomposition (EMD). Firstly, the plural form is adopted to encode double image as a whole and the 2D-DFT is performed. To obtain matrices satisfying property of conjugate symmetry, the spectra are implemented addition and subtraction. Followed by truncation-superposition operations, another complex value matrix is attained and equal modulus decomposition is carried out to get two phase templates, which are further gyrator transformed to enhance security. With an orthogonal matrix, the real and imaginary parts are shared and spliced together to produce a real-valued cipherimage, which aims to make storage and transmission convenient. The initial states of 2D logistic map are closely related to the plaintext images and is employed to generate phase mask, rotation angles as well as the input of Gaussian matrix, which ensures the high level of security. Experimental results have demonstrated the feasibility and validity of the proposal in restituting plaintext images, security and resisting Gaussian noise attack.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (61876112, 61601311), Support Project of High-level Teachers in Beijing Municipal Universities in the Period of 13th Five-year Plan (CIT&TCD20170322), Project of Beijing Excellent Talents (2016000020124G088), Beijing Municipal Education Research Plan Project (SQKM201810028018).

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Authors and Affiliations

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

    Zhuhong Shao, Yadong Tang, Yuanyuan Shang & Feng Wang

  2. Beijing Engineering Research Center of Highly Reliable Embedded System, Beijing, 100048, China

    Zhuhong Shao

  3. Hospital of Wuzhou Traditional Chinese Medicine, Wuzhou, 432002, China

    Mingxian Liang

  4. Beijing Advanced Innovation Center for Imaging Technology, Beijing, 100048, China

    Yuanyuan Shang

  5. Department of Physics, Capital Normal University, Beijing, 100048, China

    Yunfei Wang

Authors
  1. Zhuhong Shao
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  2. Yadong Tang
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  3. Mingxian Liang
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  4. Yuanyuan Shang
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  5. Feng Wang
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  6. Yunfei Wang
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Contributions

All authors took part in the work described in this paper. Specifically, Zhuhong Shao proposed the framework of this paper and wrote the manuscript. Yadong Tang, Feng Wang and Yunfei Wang carried out the experiments. Mingxian Liang and Yuanyuan Shang revised the manuscript. All authors read and approved the final manuscript.

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Correspondence to Zhuhong Shao.

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Shao, Z., Tang, Y., Liang, M. et al. Double image encryption based on symmetry of 2D-DFT and equal modulus decomposition. Multimed Tools Appl 80, 8973–8998 (2021). https://doi.org/10.1007/s11042-020-09961-9

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  • DOI: https://doi.org/10.1007/s11042-020-09961-9

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