• Acta Photonica Sinica
  • Vol. 49, Issue 4, 0410002 (2020)
Yuan GUO, Yan-yan ZHOU*, and Shi-wei JING
Author Affiliations
  • School of Computer and Control Engineering, Qiqihar University, Qiqihar, Heilongjiang 161006
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    DOI: 10.3788/gzxb20204904.0410002 Cite this Article
    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 Copy Citation Text show less
    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
    Multiple-image recombination process
    Fig. 2. Multiple-image recombination process
    3D binary matrix
    Fig. 3. 3D binary matrix
    High plane bit scrambling
    Fig. 4. High plane bit scrambling
    Low plane bit scrambling
    Fig. 5. Low plane bit scrambling
    Encryption process
    Fig. 6. Encryption process
    Effect of encryption and decryption
    Fig. 7. Effect of encryption and decryption
    The decrypted image after changing the key during decryption
    Fig. 8. The decrypted image after changing the key during decryption
    Decrypted image with arbitrary pixel value plus 1
    Fig. 9. Decrypted image with arbitrary pixel value plus 1
    Histogram of plaintext and ciphertext
    Fig. 10. Histogram of plaintext and ciphertext
    Correlation diagram of adjacent horizontal pixels
    Fig. 11. Correlation diagram of adjacent horizontal pixels
    Robustness analysis
    Fig. 12. Robustness analysis
    Any position pixel plus 1Swap positions of two different pixel values
    NPCRUACINPCRUACI
    0.996 10.334 80.996 00.335 1
    Table 1. Analysis of clear text sensitivity
    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 2. Correlation coefficient of ciphertext before and after key changes in encryption process
    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 3. Image information entropy
    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 4. Correlation of adjacent pixels
    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
    Table 5. Comparative analysis
    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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