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Optical multi-image encryption scheme based on discrete cosine transform and nonlinear fractional Mellin transform

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Abstract

A new multi-image encryption scheme with an optical implementation based on the nonlinear fractional Mellin transform is proposed, which could avoid the vulnerability of the linear encryption systems and encrypt multiple images simultaneously. In the proposed scheme, the original images are transformed into spectra by the discrete cosine transform, then the spectra are incised and spliced into a composite spectrum, and finally the composite spectrum is performed by the nonlinear fractional Mellin transform to obtain the final encrypted image. After the processing of the fractional Mellin transform, amplitude encoding and phase encoding are adopted. The orders of the fractional Mellin transform are the main keys of this multi-image encryption scheme. Simulation results demonstrate the validity and the security of the proposed scheme.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (grant nos. 61262084 and 61462061); the Foundation for Young Scientists of Jiangxi Province (Jinggang Star) (grant no. 20122BCB23002), the Natural Science Foundation of Jiangxi Province (grant no. 20132BAB201019), the Opening Project of Shanghai Key Laboratory of Integrate Administration Technologies for Information Security (grant no. AGK2014004), and the Innovation Project of Jiangxi Graduate Education (grant nos. YC2015-S036 and YC2014-S070).

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Authors and Affiliations

  1. Department of Electronic Information Engineering, Nanchang University, Nanchang, 330031, China

    Shu Min Pan & Nan Run Zhou

  2. College of Physical Science and Technology, Yichun University, Yichun, 336000, China

    Ru Hong Wen

  3. Shanghai Key Laboratory of Integrate Administration Technologies for Information Security, Shanghai Jiao Tong University, Shanghai, 200240, China

    Zhi Hong Zhou & Nan Run Zhou

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  1. Shu Min Pan
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  2. Ru Hong Wen
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  4. Nan Run Zhou
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Correspondence to Nan Run Zhou.

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Pan, S.M., Wen, R.H., Zhou, Z.H. et al. Optical multi-image encryption scheme based on discrete cosine transform and nonlinear fractional Mellin transform. Multimed Tools Appl 76, 2933–2953 (2017). https://doi.org/10.1007/s11042-015-3209-x

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  • DOI: https://doi.org/10.1007/s11042-015-3209-x

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