• Laser & Optoelectronics Progress
  • Vol. 56, Issue 3, 031004 (2019)
Jichang Guo*, Huiwen Wei, Yanhong He, and Xiangyuan Gu
Author Affiliations
  • School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, China
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    DOI: 10.3788/LOP56.031004 Cite this Article Set citation alerts
    Jichang Guo, Huiwen Wei, Yanhong He, Xiangyuan Gu. Enhancing Image Steganographic Security Using Daubechies Wavelet[J]. Laser & Optoelectronics Progress, 2019, 56(3): 031004 Copy Citation Text show less
    Coefficients of DB-8 wavelets. (a) One-dimensional low-pass filter; (b) one-dimensional high-pass filter
    Fig. 1. Coefficients of DB-8 wavelets. (a) One-dimensional low-pass filter; (b) one-dimensional high-pass filter
    Decomposition of cover image by using WOW algorithm. (a) Cover image; (b) horizontal direction; (c) vertical direction; (d) diagonal direction
    Fig. 2. Decomposition of cover image by using WOW algorithm. (a) Cover image; (b) horizontal direction; (c) vertical direction; (d) diagonal direction
    Process of STC
    Fig. 3. Process of STC
    Decomposition of cover image by using proposed algorithm. (a) Cover image; (b) horizontal direction; (c) vertical direction; (d) diagonal direction
    Fig. 4. Decomposition of cover image by using proposed algorithm. (a) Cover image; (b) horizontal direction; (c) vertical direction; (d) diagonal direction
    Comparison of security performance using Daubechies wavelets under different embedding rates. (a) SRM-0.05 bit/pixel; (b) SRM-0.1 bit/pixel; (c) SRM-0.2 bit/pixel; (d) SRM-0.3 bit/pixel; (e) SRM-0.4 bit/pixel; (f) SRM-0.5 bit/pixel; (g) SRMQ1-0.05 bit/pixel; (h) SRMQ1-0.1 bit/pixel; (i) SRMQ1-0.2 bit/pixel; (j) SRMQ1-0.3 bit/pixel; (k) SRMQ1-0.4 bit/pixel; (l) SRMQ1-0.5 bit/pixel
    Fig. 5. Comparison of security performance using Daubechies wavelets under different embedding rates. (a) SRM-0.05 bit/pixel; (b) SRM-0.1 bit/pixel; (c) SRM-0.2 bit/pixel; (d) SRM-0.3 bit/pixel; (e) SRM-0.4 bit/pixel; (f) SRM-0.5 bit/pixel; (g) SRMQ1-0.05 bit/pixel; (h) SRMQ1-0.1 bit/pixel; (i) SRMQ1-0.2 bit/pixel; (j) SRMQ1-0.3 bit/pixel; (k) SRMQ1-0.4 bit/pixel; (l) SRMQ1-0.5 bit/pixel
    Security of H?lder norm parameters
    Fig. 6. Security of H?lder norm parameters
    Experimental results of proposed algorithm and other famous steganographic algorithms. (a) SRM features; (b) SRMQ1 features
    Fig. 7. Experimental results of proposed algorithm and other famous steganographic algorithms. (a) SRM features; (b) SRMQ1 features
    Filter orderSRM /EOOBSRMQ1 /EOOB
    1×10.2093±0.00440.2279±0.0037
    3×30.2132±0.00440.2304±0.0020
    5×50.2182±0.00450.2336±0.0034
    7×70.2198±0.00370.2356±0.0048
    9×90.2220±0.00300.2371±0.0045
    11×110.2241±0.00260.2399±0.0033
    13×130.2247±0.00390.2400±0.0029
    15×150.2255±0.00430.2405±0.0038
    17×170.2271±0.00370.2401±0.0033
    19×190.2262±0.00320.2397±0.0033
    21×210.2260±0.00390.2400±0.0029
    Table 1. Experimental results of different orders'filter
    Embeddingrate /(bit·pixel-1)HUGO-DB /EOOBWOW /EOOBS-UNIWARD /EOOBNon-directionalF /EOOBHILL /EOOBProposed /EOOB
    0.050.4255±0.00160.4547±0.00190.4521±0.00170.4449±0.00250.4657±0.00290.4640±0.0021
    0.100.3716±0.00230.4042±0.00360.4006±0.00240.3962±0.00340.4259±0.00320.4232±0.0039
    0.200.2871±0.00260.3182±0.00270.3175±0.00310.3107±0.00300.3539±0.00350.3426±0.0033
    0.300.2255±0.00370.2556±0.00320.2565±0.00440.2574±0.00450.2970±0.00410.2796±0.0024
    0.400.1796±0.00250.2084±0.00430.2037±0.00330.2067±0.00410.2427±0.00390.2298±0.0031
    0.500.1450±0.00330.1665±0.00410.1631±0.00310.1692±0.00290.1996±0.00330.1879±0.0025
    Table 2. Experimental results under SRM characteristics
    Embedding rate /(bit·pixel-1)HUGO-DB /EOOBWOW /EOOBS-UNIWARD /EOOBNon-directionalF /EOOBHILL /EOOBProposed /EOOB
    0.050.4356±0.00210.4630±0.00280.4546±0.00240.4455±0.00230.4674±0.00180.4670±0.0008
    0.100.3769±0.00310.4183±0.00440.4069±0.00190.3969±0.00250.4337±0.00200.4310±0.0033
    0.200.2967±0.00250.3402±0.00190.3287±0.00470.3248±0.00350.3660±0.00230.3580±0.0020
    0.300.2361±0.00360.2772±0.00340.2657±0.00320.2694±0.00310.3092±0.00280.2967±0.0024
    0.400.1949±0.00360.2289±0.00410.2168±0.00400.2254±0.00420.2582±0.00350.2454±0.0037
    0.500.1538±0.00260.1864±0.00370.1734±0.00250.1833±0.00380.2145±0.00440.2009±0.0035
    Table 3. Experimental results under SRMQ1 characteristics