• Acta Photonica Sinica
  • Vol. 49, Issue 7, 710002 (2020)
Yuan GUO and Shi-wei JING*
Author Affiliations
  • School of Computer and Control Engineering, Qiqihar University, Qiqihar, Heilongjiang 161006, China
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    DOI: 10.3788/gzxb20204907.0710002 Cite this Article
    Yuan GUO, Shi-wei JING. Lossless Compression Optical Image Encryption Based on L-L Cascade Chaos and Vector Decomposition[J]. Acta Photonica Sinica, 2020, 49(7): 710002 Copy Citation Text show less
    Principle diagram of interference and unit equal mode vector decomposition
    Fig. 1. Principle diagram of interference and unit equal mode vector decomposition
    Schematic diagram of space separation extraction scrambling
    Fig. 2. Schematic diagram of space separation extraction scrambling
    Scrambling effect of space separation extraction
    Fig. 3. Scrambling effect of space separation extraction
    Bifurcation of Logistic and L-L
    Fig. 4. Bifurcation of Logistic and L-L
    Encryption process
    Fig. 5. Encryption process
    Encryption and decryption effect
    Fig. 6. Encryption and decryption effect
    Key sensitivity analysis
    Fig. 7. Key sensitivity analysis
    Selecting a plaintext attack
    Fig. 8. Selecting a plaintext attack
    Histogram of plaintext and ciphertext
    Fig. 9. Histogram of plaintext and ciphertext
    ChaosLogistic Eq.(8)Logistic Eq.(9)L-LCoupled tent chaos[14]Chen chaos[15]Four-dimensional hyperchaos[16]Five-dimensional hyperchaos[17]
    Time/s0.077 3430.072 9660.041 4430.719 8362.624 9622.862 6891.461 286
    Table 1. Time comparison between different chaos
    Comparison itemLenaDragon
    NPCRUACINPCRUACI
    Pixel at any position plus 10.991 824.333 90.991 622.787 3
    Swap two different pixels0.992 523.992 30.991 923.657 3
    Table 2. Plaintext sensitivity analysis
    HorizontalVerticalDiagonal
    Lena plaintext0.935 70.968 20.908 5
    Lean ciphertext-0.003 9-0.005 0-0.004 9
    Dragon plaintext0.917 30.916 80.870 0
    Dragon ciphertext-0.003 80.005 5-0.006 9
    Table 3. Correlation of adjacent pixels
    AlgorithmNPCRUACIResistant to selected plaintext and ciphertext attacksKey spaceCompression ratioPSNR
    DRPE0.979 610.186 4Broken---
    Ref.[3]0.995 216.557 4Weak10135--
    Ref.[5]0.978 55.865 9Weak---
    Ref.[14]0.991 97.472 1Weak10144--
    Ref.[21]--Weak4.08×101370.2533.45
    Ref.[22]--Weak101360.610 430.408 9
    Ref.[20]0.996 133.36Strong101050.562 534.937 0
    The algorithm0.991 824.333 9Strong4.6×101370.47INF
    Table 4. comparative analysis between different algorithms
    Yuan GUO, Shi-wei JING. Lossless Compression Optical Image Encryption Based on L-L Cascade Chaos and Vector Decomposition[J]. Acta Photonica Sinica, 2020, 49(7): 710002
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