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Image compression-encryption scheme combining 2D compressive sensing with discrete fractional random transform

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Abstract

Most of the existing image encryption algorithms based on compressive sensing are too complex to operate. An image compression-encryption scheme with simple operation is presented based on 2D compressive sensing and discrete fractional random transform (DFrRT). To accomplish compression and encryption simultaneously, the original image is expressed in a 2D discrete cosine domain and measured by the measurement matrices in two orthogonal directions during the encryption process, where the matrices are constructed with Logistic chaos map to control the row vectors of Hadamard matrix. Then the intermediate resulting image is re-encrypted by taking discrete fractional random transform. Decryption process includes the inverse operation of the DFrRT and the reconstruction process with the Newton Smoothed l 0 Norm (NSL0) algorithm in sequence. Simulation results verify the security and the effectiveness of this scheme by taking advantages of both compressive sensing and DFrRT.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (81301200), the Fundamental Research Funds for the Central Universities and the PUMC Youth Fund (3332016102) and the Natural Science Foundation of Jiangxi Province (20142BAB207004). This work was supported by the National Natural Science Foundation of China (81301288), the Youth Fund of Peking Union Medical College (3332014052) and the Natural Science Foundation of Jiangxi Province (20142BAB207004).

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Authors and Affiliations

  1. Institute of Biomedical Engineering, Chinese Academy of Medical Sciences & Peking Union Medical College, Tianjin, 300192, China

    Juan Deng, Shu Zhao, Yan Wang, Lei Wang, Hong Wang & Hong Sha

Authors
  1. Juan Deng
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  2. Shu Zhao
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  3. Yan Wang
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  4. Lei Wang
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  5. Hong Wang
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  6. Hong Sha
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Corresponding authors

Correspondence to Juan Deng or Hong Sha.

Additional information

Juan Deng and Shu Zhao contributed equally to this study.

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Deng, J., Zhao, S., Wang, Y. et al. Image compression-encryption scheme combining 2D compressive sensing with discrete fractional random transform. Multimed Tools Appl 76, 10097–10117 (2017). https://doi.org/10.1007/s11042-016-3600-2

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  • DOI: https://doi.org/10.1007/s11042-016-3600-2

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