Enhancing Image Steganographic Security Using Daubechies Wavelet

Fig. 2. Decomposition of cover image by using WOW algorithm. (a) Cover image; (b) horizontal direction; (c) vertical direction; (d) diagonal direction

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Fig. 3. Process of STC

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Fig. 4. Decomposition of cover image by using proposed algorithm. (a) Cover image; (b) horizontal direction; (c) vertical direction; (d) diagonal direction

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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

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Fig. 6. Security of H?lder norm parameters

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Fig. 7. Experimental results of proposed algorithm and other famous steganographic algorithms. (a) SRM features; (b) SRMQ1 features

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Table 1. Experimental results of different orders'filter

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Table 1. Experimental results of different orders'filter

Filter order	SRM /E_OOB	SRMQ1 /E_OOB
1×1	0.2093±0.0044	0.2279±0.0037
3×3	0.2132±0.0044	0.2304±0.0020
5×5	0.2182±0.0045	0.2336±0.0034
7×7	0.2198±0.0037	0.2356±0.0048
9×9	0.2220±0.0030	0.2371±0.0045
11×11	0.2241±0.0026	0.2399±0.0033
13×13	0.2247±0.0039	0.2400±0.0029
15×15	0.2255±0.0043	0.2405±0.0038
17×17	0.2271±0.0037	0.2401±0.0033
19×19	0.2262±0.0032	0.2397±0.0033
21×21	0.2260±0.0039	0.2400±0.0029

Table 2. Experimental results under SRM characteristics

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Table 2. Experimental results under SRM characteristics

Embeddingrate /(bit·pixel^-1)	HUGO-DB /E_OOB	WOW /E_OOB	S-UNIWARD /E_OOB	Non-directionalF /E_OOB	HILL /E_OOB	Proposed /E_OOB
0.05	0.4255±0.0016	0.4547±0.0019	0.4521±0.0017	0.4449±0.0025	0.4657±0.0029	0.4640±0.0021
0.10	0.3716±0.0023	0.4042±0.0036	0.4006±0.0024	0.3962±0.0034	0.4259±0.0032	0.4232±0.0039
0.20	0.2871±0.0026	0.3182±0.0027	0.3175±0.0031	0.3107±0.0030	0.3539±0.0035	0.3426±0.0033
0.30	0.2255±0.0037	0.2556±0.0032	0.2565±0.0044	0.2574±0.0045	0.2970±0.0041	0.2796±0.0024
0.40	0.1796±0.0025	0.2084±0.0043	0.2037±0.0033	0.2067±0.0041	0.2427±0.0039	0.2298±0.0031
0.50	0.1450±0.0033	0.1665±0.0041	0.1631±0.0031	0.1692±0.0029	0.1996±0.0033	0.1879±0.0025

Table 3. Experimental results under SRMQ1 characteristics

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Table 3. Experimental results under SRMQ1 characteristics

Embedding rate /(bit·pixel^-1)	HUGO-DB /E_OOB	WOW /E_OOB	S-UNIWARD /E_OOB	Non-directionalF /E_OOB	HILL /E_OOB	Proposed /E_OOB
0.05	0.4356±0.0021	0.4630±0.0028	0.4546±0.0024	0.4455±0.0023	0.4674±0.0018	0.4670±0.0008
0.10	0.3769±0.0031	0.4183±0.0044	0.4069±0.0019	0.3969±0.0025	0.4337±0.0020	0.4310±0.0033
0.20	0.2967±0.0025	0.3402±0.0019	0.3287±0.0047	0.3248±0.0035	0.3660±0.0023	0.3580±0.0020
0.30	0.2361±0.0036	0.2772±0.0034	0.2657±0.0032	0.2694±0.0031	0.3092±0.0028	0.2967±0.0024
0.40	0.1949±0.0036	0.2289±0.0041	0.2168±0.0040	0.2254±0.0042	0.2582±0.0035	0.2454±0.0037
0.50	0.1538±0.0026	0.1864±0.0037	0.1734±0.0025	0.1833±0.0038	0.2145±0.0044	0.2009±0.0035

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Jichang Guo, Huiwen Wei, Yanhong He, Xiangyuan Gu. Enhancing Image Steganographic Security Using Daubechies Wavelet[J]. Laser & Optoelectronics Progress, 2019, 56(3): 031004

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Paper Information

Category: Image Processing

Received: Jul. 30, 2018

Accepted: Aug. 17, 2018

Published Online: Jul. 31, 2019

The Author Email: Jichang Guo (jcguo@tju.edu.cn)

DOI:10.3788/LOP56.031004

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology