Acta Photonica Sinica, Volume. 49, Issue 9, 0910001(2020)

Multiple Color Images Encryption via Compressive Holography and Spatial Multiplexing

Cheng ZHANG1...2, Hai-tao XU1, Yuan-yuan ZHU1, Jun TANG1 and Sui WEI1 |Show fewer author(s)
Author Affiliations
  • 1Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei 230039, China
  • 2Key Laboratory of Modern Imaging and Displaying Technology, Anhui University, Hefei 230039, China
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    Figures & Tables(18)
    Schematic diagram of compressive color holography
    Schematic setup of multiple color image encryption based on space division multiplexing
    Decryption model of multiple color image
    Flow chart of the proposed multiple color image encryption and decryption process
    Comparison of self-sparse color image with inherent noise
    Comparison of complex color image with inherent noise
    Comparison of self-sparse color image with encryption
    Comparison of complex color image with encryption
    The simulated results of encryption and decryption security on RPM
    The simulated results of encryption and decryption security on propagating distance
    The simulated results to investigate the robustness against occlusion attack (sampling ratio δ)
    Simulated results on the robust of decryption against Gaussian noise with the different standard deviation σ
    • Table 1. Definition of variables and description of dimensions

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      Table 1. Definition of variables and description of dimensions

      VariableDescriptionDimensions
      fcThe c channel of vectorized multiple color images(Nx·Ny·L)×1
      RDiagonal matrix of RPMs(Nx·Ny·L)×(Nx·Ny·L)
      BBlock diagonal matrix composed of multiple 2Ddiscrete fourier transform (DFT) matrix(Nx·Ny·L)×(Nx·Ny·L)
      Unknown environment 'document'2D2D DFT matrix(Nx·Ny)×(Nx·Ny)
      Unknown environment 'document'2D-12D inverse DFT matrix(Nx·Ny)×(Nx·Ny)
      Ql, cPSF of the c channel of l color image(Nx·Ny)×(Nx·Ny)
      QcPSF of the c channel of multiple color images(Nx·Ny)×(Nx·Ny·L)
      gcThec channel of vectorized encrypted color hologram(Nx·Ny)×1
      gVectorization of encrypted color hologram(Nx·Ny)×3
    • Table 2. The performance comparison of color image with inherent noise

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      Table 2. The performance comparison of color image with inherent noise

      Inherent noise reconstructionUn-inherent noise reconstruction
      SNRPSNRNCSNRPSNRNC
      “A”54.84467.5460.99859.41971.5040.998
      “H”57.57170.2760.99860.99973.2510.998
      “T”57.58072.5270.99861.00275.5730.998
      “V”57.11670.5270.99859.00972.1710.998
      “lena”21.90324.3370.948 827.61228.9900.992
      “house”19.68423.0910.940 524.65027.2310.988
      “airplane”24.42623.6410.95930.38828.4380.995
      “peppers”20.67224.002 50.944 727.11429.3430.990
    • Table 3. The performance comparison of multiple self-sparse color image

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      Table 3. The performance comparison of multiple self-sparse color image

      Unencrypted reconstructionEncrypted reconstruction
      SNRPSNRNCSNRPSNRNC
      “A”33.04348.5940.97459.41971.5040.998
      “H”34.66350.3750.97561.00073.2510.998
      “T”36.83554.5820.98161.00275.5730.998
      “V”36.07052.2460.97759.00972.1710.998
    • Table 4. The performance comparison of multiple complex color image shown

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      Table 4. The performance comparison of multiple complex color image shown

      Unencrypted reconstructionEncrypted reconstruction
      SNRPSNRNCSNRPSNRNC
      “lena”10.82114.4060.80327.61128.9900.992
      “house”11.09615.4590.84624.65027.2310.988
      “airplane”7.9528.9090.55730.38828.4380.995
      “peppers”8.70313.3520.81027.11429.3430.990
    • Table 5. The performance comparison of occlusion attack

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      Table 5. The performance comparison of occlusion attack

      75%50%20%10%
      Avg_SNR24.92222.78319.59516.688
      Avg_PSNR26.31524.44521.69719.151
      Avg_NC0.9860.9770.9660.944
    • Table 6. The robust performance comparison of decryption under Gaussian noise

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      Table 6. The robust performance comparison of decryption under Gaussian noise

      0.10.20.30.4
      Avg_SNR22.96019.55117.06215.079
      Avg_PSNR25.73824.13124.20723.463
      Avg_NC0.9870.9850.9770.974
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    Cheng ZHANG, Hai-tao XU, Yuan-yuan ZHU, Jun TANG, Sui WEI. Multiple Color Images Encryption via Compressive Holography and Spatial Multiplexing[J]. Acta Photonica Sinica, 2020, 49(9): 0910001

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    Paper Information

    Category: Image Processing

    Received: Apr. 26, 2020

    Accepted: Jul. 21, 2020

    Published Online: Dec. 26, 2020

    The Author Email:

    DOI:10.3788/gzxb20204909.0910001

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