Laser & Optoelectronics Progress, Volume. 60, Issue 4, 0410003(2023)

Optical Image Block Encryption Method Based on Chaotic Convolution

Jia Wang1、* and Li Liu2
Author Affiliations
  • 1Department of Information Technology, Shanxi Professional College of Finance, Taiyuan 030008, Shanxi, China
  • 2College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China
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    Figures & Tables(10)
    Flow chart of proposed image encryption method based on chaotic convolution
    Encryption and decryption results of proposed algorithm. (a) (d) Original Lena and original Baboon; (b) (e) corresponding encrypted images; (c) (f) corresponding decrypted images
    Decrypted images of noise attack with different intensities. (a) k=0.05, PSNR=28.6261 dB; (b) k=0.1,PSNR=24.0310 dB; (c) k=0.2,PSNR=18.6476 dB; (d) k=0.5,PSNR=11.7872 dB
    Cropping attack. (a) Encrypted image with 1/8 cropping; (b) encrypted image with 3/8 cropping; (c) encrypted images with 1/2 cropping; (d) decrypted image of Fig.4 (a), PSNR=24.3597 dB; (e) decrypted image of Fig.4 (b), PSNR=19.4396 dB; (f) decrypted image of Fig.4 (c), PSNR=17.6242 dB
    Histograms analysis. (a) Original images; (b) histograms corresponding to original image; (c) histograms corresponding to encrypted image
    Decrypted images with deviation in cascade chaotic system parameters. (a) ∆α2=10-15, PSNR=0.9433 dB; (b)∆α2=10-16, PSNR=31.4574 dB; (c) ∆h2=10-16, PSNR=0.9384 dB; (d) ∆h2=10-17, PSNR=31.4574 dB
    • Table 1. PSNR values of decrypted images with different block size

      View table

      Table 1. PSNR values of decrypted images with different block size

      PSNR /dB256×256128×12864×6432×32
      Lena31.466131.457431.450031.1969
      Peppers30.738730.734030.701630.6177
      Boat31.935031.381231.327131.0849
    • Table 2. PSNR values of decrypted images with different compression ratio

      View table

      Table 2. PSNR values of decrypted images with different compression ratio

      ImageProposed methodRandom convolution in reference[28DRPE based on CS and FrFT
      CrPSNR /dBCrPSNR /dBCrPSNR /dB
      Lena

      0.2500(128×128)

      0.0625(64×64)

      0.12502(32×32)

      31.4574

      25.9983

      22.1047

      0.2500(128×128)

      0.0625(64×64)

      0.12502(32×32)

      28.8792

      23.5417

      20.4360

      0.5000(128×256)

      0.3320(85×256)

      0.2500(64×256)

      31.9065

      26.1014

      14.0980

      Peppers

      0.2500(128×128)

      0.0625(64×64)

      0.12502(32×32)

      30.7340

      25.9754

      21.7120

      0.2500(128×128)

      0.0625(64×64)

      0.12502(32×32)

      28.6278

      23.4546

      20.2588

      0.5000(128×256)

      0.3320(85×256)

      0.2500(64×256)

      32.0356

      25.6076

      11.6111

      Boat

      0.2500(128×128)

      0.0625(64×64)

      0.12502(32×32)

      31.3812

      26.4538

      22.0111

      0.2500(128×128)

      0.0625(64×64)

      0.12502(32×32)

      29.2567

      23.8030

      21.1395

      0.5000(128×256)

      0.3320(85×256)

      0.2500(64×256)

      31.8176

      26.3899

      11.2389

    • Table 3. Correlation coefficients of adjacent pixels in plain image and cipher image

      View table

      Table 3. Correlation coefficients of adjacent pixels in plain image and cipher image

      ImageVerticalHorizontalDiagonal
      Plain imageCiper imagePlain imageCiper imagePlain imageCiper image
      Lena0.96790.00440.93420.00050.96800.0024
      Peppers0.95750.00140.95080.00320.95750.0028
      Boat0.96640.00280.94190.00010.96670.0024
    • Table 4. PSNR values of decrypted images with deviation

      View table

      Table 4. PSNR values of decrypted images with deviation

      Parameter deviation∆α1=10-15∆β1=10-15∆h1=10-15∆α2=10-15∆β2=10-15∆h2=10-16∆γ1=10-2∆γ2=10-2
      PSNR /dB0.93590.93140.94230.94330.94430.93840.94740.9415
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    Jia Wang, Li Liu. Optical Image Block Encryption Method Based on Chaotic Convolution[J]. Laser & Optoelectronics Progress, 2023, 60(4): 0410003

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    Paper Information

    Category: Image Processing

    Received: Oct. 13, 2021

    Accepted: Dec. 21, 2021

    Published Online: Feb. 13, 2023

    The Author Email: Wang Jia (wangjia0313@126.com)

    DOI:10.3788/LOP212725

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