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Optical image encryption using chaos-based compressed sensing and phase-shifting interference in fractional wavelet domain

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Abstract

In this paper, a novel optical image encryption system combining compressed sensing with phase-shifting interference in fractional wavelet domain is proposed. To improve the encryption efficiency, the volume data of original image are decreased by compressed sensing. Then the compacted image is encoded through double random phase encoding in asymmetric fractional wavelet domain. In the encryption system, three pseudo-random sequences, generated by three-dimensional chaos map, are used as the measurement matrix of compressed sensing and two random-phase masks in the asymmetric fractional wavelet transform. It not only simplifies the keys to storage and transmission, but also enhances our cryptosystem nonlinearity to resist some common attacks. Further, holograms make our cryptosystem be immune to noises and occlusion attacks, which are obtained by two-step-only quadrature phase-shifting interference. And the compression and encryption can be achieved in the final result simultaneously. Numerical experiments have verified the security and validity of the proposed algorithm.

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Acknowledgements

The work is supported by the National Science Foundation of China (NSFC) (61405130 and 61320106015).

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Authors and Affiliations

  1. School of Electronics and Information Engineering, Sichuan University, Chengdu, 610065, China

    Qi Liu, Ying Wang, Jun Wang & Qiong-Hua Wang

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  1. Qi Liu
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  2. Ying Wang
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  3. Jun Wang
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  4. Qiong-Hua Wang
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Correspondence to Jun Wang.

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Liu, Q., Wang, Y., Wang, J. et al. Optical image encryption using chaos-based compressed sensing and phase-shifting interference in fractional wavelet domain. Opt Rev 25, 46–55 (2018). https://doi.org/10.1007/s10043-017-0390-3

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  • DOI: https://doi.org/10.1007/s10043-017-0390-3

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