Abstract
This paper presents a robust dual blind image watermarking method that exploits the contourlet decomposition and discrete wavelet transform (DWT). After using the Laplacian pyramid, DWT, and directional filter bank to decompose a host image into separate subbands, the proposed method embeds the primary watermark into low-frequency directional subbands using progressive quantization index modulation (PQIM) and the secondary watermark into mid-frequency DWT subbands using relative modulation (RM). With the incorporation of moment-based rectification, the proposed watermarking method holds adequate resilience against rotation, scaling, and translation attacks. The experimental results confirm that the PQIM in the low-frequency subbands is highly robust against high-frequency attacks such as JPEG compression and lowpass filtering. On the other hand, the RM in the mid-frequency subbands can survive low-frequency attacks such as histogram equalization and unsharp filtering. Such a complementary property enables the development of a watermark merging scheme to resist a wide range of attacks. In comparison with five other dual image watermarking methods, the proposed approach shows improved performance in robustness while maintaining satisfactory imperceptibility.
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References
CVG-UGR Image Database (Computer Vision Group, University of Granada), available: https://ccia.ugr.es/cvg/dbimagenes/, [Accessed August 15, 2021],
M. Ali, C.W. Ahn, M. Pant, P. Siarry, An image watermarking scheme in wavelet domain with optimized compensation of singular value decomposition via artificial bee colony. Inf. Sci. 301, 44–60 (2015)
M. Arnold, M. Schmucker, S.D. Wolthusen, Techniques and applications of digital watermarking and content protection (Artech House, Boston, 2003)
V.I. Arnold, A. Avez, Ergodic problems of classical mechanics (Benjamin, New York, 1968)
M. Barni, F. Bartolini, A. Piva, Improved wavelet-based watermarking through pixel-wise masking. IEEE Trans. on Image Proc. 10(5), 783–791 (2001)
C.-C. Chang, P. Tsai, C.-C. Lin, SVD-based digital image watermarking scheme. Pattern Recogn. Lett. 26(10), 1577–1586 (2005)
B. Chen, G.W. Wornell, Quantization index modulation: a class of provably good methods for digital watermarking and information embedding. IEEE Trans. on Inform. Theory 47(4), 1423–1443 (2001)
T. Chih-Wei, H. Hsueh-Ming, A feature-based robust digital image watermarking scheme. IEEE Trans. Signal Process. 51(4), 950–959 (2003)
C.K. Chui, An introduction to wavelets, Academic Press Professional, Inc., 1992.
M.N. Do, M. Vetterli, The contourlet transform: an efficient directional multiresolution image representation. IEEE Trans. Image Process. 14(12), 2091–2106 (2005)
K. Fares, K. Amine, E. Salah, A robust blind color image watermarking based on fourier transform domain. Optik 208, 164562 (2020)
K.M. Hosny, M.M. Darwish, Resilient color image watermarking using accurate quaternion radial substituted chebyshev moments. ACM Trans. Multimedia Comput. Commun. Appl. 15(2), 1–25 (2019)
K.M. Hosny, M.M. Darwish, Reversible Color Image Watermarking Using Fractional-Order Polar Harmonic Transforms and a Chaotic Sine Map, Circuits, Systems, and Signal Processing, (2021)
K.M. Hosny, M.M. Darwish, M.M. Fouda, Robust color images watermarking using new fractional-order exponent moments. IEEE Access 9, 47425–47435 (2021)
C.-S. Hsu, S.-F. Tu, Enhancing the robustness of image watermarking against cropping attacks with dual watermarks. Multimed Tools Appl 79(17), 11297–11323 (2020)
L.Y. Hsu, H.T. Hu, Robust blind image watermarking using crisscross inter-block prediction in the DCT domain. J. Vis. Commun. and Image Represent 46(33), 47 (2017)
H.-T. Hu, H.-H. Chou, C. Yu, L.-Y. Hsu, Incorporation of perceptually adaptive QIM with singular value decomposition for blind audio watermarking. EURASIP J. Adv. Signal Process. 2014(1), 1–12 (2014)
H.-T. Hu, L.-Y. Hsu, Exploring DWT–SVD–DCT feature parameters for robust multiple watermarking against JPEG and JPEG2000 compression. Comput. Electr. Eng. 41, 52–63 (2015)
H.-T. Hu, L.-Y. Hsu, A mixed modulation scheme for blind image watermarking. AEU-Int. J. Electron. C. 70(2), 172–178 (2016)
H.-T. Hu, L.-Y. Hsu, Collective blind image watermarking in DWT-DCT domain with adaptive embedding strength governed by quality metrics. Multimed Tools Appl 76(5), 6575–6594 (2017)
T. Huynh-The, O. Banos, S. Lee, Y. Yoon, T. Le-Tien, Improving digital image watermarking by means of optimal channel selection. Expert Syst. Appl. 62, 177–189 (2016)
S. Khalighi, P. Tirdad, H. Rabiee, A contourlet-based image watermarking scheme with high resistance to removal and geometrical attacks. EURASIP J. Adv. Signal Process. 2010(540723), 1–13 (2010)
S. Koley, Visual attention model based dual watermarking for simultaneous image copyright protection and authentication. Multimed Tools Appl 80(5), 6755–6783 (2021)
H. Ming-Kuei, Visual pattern recognition by moment invariants. IRE Trans. on Inform. Theory 8(2), 179–187 (1962)
B. Mohan, S. Kumar, Robust digital watermarking scheme using contourlet transform. Int. J. Comp. Sci. Network Sec. 8, 43–51 (2008)
M. Moosazadeh, G. Ekbatanifard, A new DCT-based robust image watermarking method using teaching-learning-based optimization. J. Inform. Sec. Appl. 47, 28–38 (2019)
A. Najih, S.A.R. Al-Haddad, A.R. Ramli, S.J. Hashim, M.A. Nematollahi, Digital image watermarking based on angle quantization in discrete contourlet transform. J. King Saud Univ.Comp. Inform. Sci. 29(3), 288–294 (2017)
C.V. Narasimhulu, K. Prasad, A hybrid watermarking scheme using contourlet transform and singular value decomposition. Int. J. Comp. Sci.Network Sec. 10, 12–17 (2010)
I. Nasir, F. Khelifi, J. Jiang, S. Ipson, Robust image watermarking via geometrically invariant feature points and image normalisation, in IET Image processing. Inst. Eng. Technol. 6, 354–363 (2012)
J. Pan, Y. Hsin, H. Huang, K. Huang, Robust image watermarking based on multiple description vector quantisation. Electron. Lett. 40(22), 1409–1410 (2004)
J.C. Patra, J.E. Phua, C. Bornand, A novel DCT domain CRT-based watermarking scheme for image authentication surviving JPEG compression. Digital Signal Process. 20(6), 1597–1611 (2010)
S.-C. Pei, C.-N. Lin, Image normalization for pattern recognition. Image Vis. Comput. 13(10), 711–723 (1995)
S. Ranjbar, F. Zargari, M. Ghanbari, A highly robust two-stage Contourlet-based digital image watermarking method. Signal Process: Image Commun. 28(10), 1526–1536 (2013)
I. Rothe, H. Susse, K. Voss, The method of normalization to determine invariants. IEEE Trans on Pattern Analy. Mach. Intell.. 18(4), 366–376 (1996)
H. Sadreazami, M. Amini, A robust image watermarking scheme using local statistical distribution in the contourlet domain. IEEE Trans on Circuits and Syst. II: Express Briefs. 66(1), 151–155 (2019)
S.P. Singh, G. Bhatnagar, A new robust watermarking system in integer DCT domain. J. Vis. Commun. Image Represent. 53, 86–101 (2018)
H. Song, S. Yu, X. Yang, L. Song, C. Wang, Contourlet-based image adaptive watermarking. Signal Process: Image Commun. 23(3), 162–178 (2008)
M. Urvoy, D. Goudia, F., Autrusseau, Perceptual DFT Watermarking With Improved Detection and Robustness to Geometrical Distortions. IEEE Trans on Inform. Forensics and Sec. 9(7), 1108–1119 (2014)
W. Wan, J. Liu, J. Sun, D. Gao, Improved logarithmic spread transform dither modulation using a robust perceptual model. Multimed Tools Appl 75(21), 13481–13502 (2016)
X.-Y. Wang, Y.-N. Liu, S. Li, H.-Y. Yang, P.-P. Niu, Y. Zhang, A new robust digital watermarking using local polar harmonic transform. Comput. Electr. Eng. 46, 403–418 (2015)
X.-Y. Wang, S.-Y. Zhang, L. Wang, H.-Y. Yang, P.-P. Niu, Locally optimum image watermark decoder by modeling NSCT domain difference coefficients with vector based Cauchy distribution. J. Vis. Commun. Image Represent. 62, 309–329 (2019)
Y. Wang, A. Pearmain, Blind image data hiding based on self reference. Pattern Recogn. Lett. 25(15), 1681–1689 (2004)
Z. Wang, A.C. Bovik, H.R. Sheikh, E.P. Simoncelli, Image quality assessment: from error visibility to structural similarity. IEEE Trans. on image processing 13(4), 600–612 (2004)
Y. Zhang, Y. Li, Y. Sun, Digital watermarking based on joint DWT–DCT and OMP reconstruction. Circuits Systems Signal Process. 38(11), 5135–5148 (2019)
D. Zheng, Y. Liu, J. Zhao, A. El Saddik, A survey of RST Invariant Image watermarking algorithms. ACM Comput. Surv. 39, 1–91 (2007)
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This research work was supported in part by the Ministry of Science and Technology, Taiwan, ROC under grant MOST 109-2221-E-197-031.
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Hu, HT., Lee, TT. Robust Complementary Dual Image Watermarking in Subbands Derived from the Laplacian Pyramid, Discrete Wavelet Transform, and Directional Filter Bank. Circuits Syst Signal Process 41, 4090–4116 (2022). https://doi.org/10.1007/s00034-022-01975-y
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DOI: https://doi.org/10.1007/s00034-022-01975-y