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Acta Photonica Sinica, Volume. 49, Issue 4, 0410002(2020)

Multiple-image Encryption Based on Image Recombination and Bit Scrambling

Yuan GUO... Yan-yan ZHOU* and Shi-wei JING |Show fewer author(s)
Author Affiliations
  • School of Computer and Control Engineering, Qiqihar University, Qiqihar, Heilongjiang 161006
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    AbstractGet PDF(in Chinese)
    Figures&Tables (17)
    Equations (0)
    References (19)
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    Figures & Tables(17)
    Bifurcation diagram and sequence distribution diagram of Logistic chaotic system and L-F chaotic system

    Fig. 1. Bifurcation diagram and sequence distribution diagram of Logistic chaotic system and L-F chaotic system

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    Multiple-image recombination process

    Fig. 2. Multiple-image recombination process

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    3D binary matrix

    Fig. 3. 3D binary matrix

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    High plane bit scrambling

    Fig. 4. High plane bit scrambling

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    Low plane bit scrambling

    Fig. 5. Low plane bit scrambling

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    Encryption process

    Fig. 6. Encryption process

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    Effect of encryption and decryption

    Fig. 7. Effect of encryption and decryption

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    The decrypted image after changing the key during decryption

    Fig. 8. The decrypted image after changing the key during decryption

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    Decrypted image with arbitrary pixel value plus 1

    Fig. 9. Decrypted image with arbitrary pixel value plus 1

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    Histogram of plaintext and ciphertext

    Fig. 10. Histogram of plaintext and ciphertext

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    Correlation diagram of adjacent horizontal pixels

    Fig. 11. Correlation diagram of adjacent horizontal pixels

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    Robustness analysis

    Fig. 12. Robustness analysis

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    • Table 1. Analysis of clear text sensitivity

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      Table 1. Analysis of clear text sensitivity

      Any position pixel plus 1Swap positions of two different pixel values
      NPCRUACINPCRUACI
      0.996 10.334 80.996 00.335 1

    • Table 2. Correlation coefficient of ciphertext before and after key changes in encryption process

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      Table 2. Correlation coefficient of ciphertext before and after key changes in encryption process

      Δx0, 1′=10－14ΔintF0, 1′=10－14Δu1′=10－14Δk=1Δx0, 2′=10－14ΔintF0, 2′=10－14Δu2′=10－14
      0.007 80.005 90.008 90.006 3－0.002 0－0.001 00.000 1

    • Table 3. Image information entropy

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      Table 3. Image information entropy

      LenaGrilLenaMonkeyDragonCiphertext1Ciphertext 2Ciphertext 3Ciphertext 4Ciphertext 5
      7.460 37.524 37.724 27.659 20.768 27.999 27.999 37.999 37.999 37.999 3

    • Table 4. Correlation of adjacent pixels

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      Table 4. Correlation of adjacent pixels

      LenaGrilLenaMonkeyDragonCipher-text1Cipher-text 2Cipher-text 3Cipher-text 4Cipher-text 5
      Level0.968 40.916 80.960 30.876 90.936 00.001 70.001 60.001 9－0.002 20.000 3
      Vertical0.935 20.917 30.919 60.916 90.922 40.002 30.000 1－0.000 6－0.000 1－0.001 2
      Diagonal0.908 30.870 00.891 20.845 90.894 9－0.002 50.000 10.000 3－0.000 2－0.003 3

    • Table 5. Comparative analysis

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      Table 5. Comparative analysis

      NPCRUACIInformation entropyCorrelation coefficient(horizontal, vertical, diagonal)Times
      Ref.[16]007.997 9－0.078 10.066 50.060 79.656
      Ref.[17]007.614 8－0.007 1－0.001 4－0.002 6-
      Ref.[18]0.996 20.334 37.999 3－0.002 2－0.003 10.001 60.710 3
      This paper0.996 10.334 87.999 20.001 70.002 3－0.002 50.502 3
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    Yuan GUO, Yan-yan ZHOU, Shi-wei JING. Multiple-image Encryption Based on Image Recombination and Bit Scrambling[J]. Acta Photonica Sinica, 2020, 49(4): 0410002

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    Paper Information

    Category: Image Processing

    Received: Jan. 8, 2020

    Accepted: Mar. 18, 2020

    Published Online: Apr. 24, 2020

    The Author Email: ZHOU Yan-yan (15949810563@163.com)

    DOI:10.3788/gzxb20204904.0410002

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology