Skip to main content
Log in

Robust Complementary Dual Image Watermarking in Subbands Derived from the Laplacian Pyramid, Discrete Wavelet Transform, and Directional Filter Bank

  • Published:
Circuits, Systems, and Signal Processing Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. CVG-UGR Image Database (Computer Vision Group, University of Granada), available: https://ccia.ugr.es/cvg/dbimagenes/, [Accessed August 15, 2021],

  2. 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)

    Article  Google Scholar 

  3. M. Arnold, M. Schmucker, S.D. Wolthusen, Techniques and applications of digital watermarking and content protection (Artech House, Boston, 2003)

    Google Scholar 

  4. V.I. Arnold, A. Avez, Ergodic problems of classical mechanics (Benjamin, New York, 1968)

    MATH  Google Scholar 

  5. M. Barni, F. Bartolini, A. Piva, Improved wavelet-based watermarking through pixel-wise masking. IEEE Trans. on Image Proc. 10(5), 783–791 (2001)

    Article  MATH  Google Scholar 

  6. C.-C. Chang, P. Tsai, C.-C. Lin, SVD-based digital image watermarking scheme. Pattern Recogn. Lett. 26(10), 1577–1586 (2005)

    Article  Google Scholar 

  7. 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)

    Article  MathSciNet  MATH  Google Scholar 

  8. T. Chih-Wei, H. Hsueh-Ming, A feature-based robust digital image watermarking scheme. IEEE Trans. Signal Process. 51(4), 950–959 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  9. C.K. Chui, An introduction to wavelets, Academic Press Professional, Inc., 1992.

  10. M.N. Do, M. Vetterli, The contourlet transform: an efficient directional multiresolution image representation. IEEE Trans. Image Process. 14(12), 2091–2106 (2005)

    Article  Google Scholar 

  11. K. Fares, K. Amine, E. Salah, A robust blind color image watermarking based on fourier transform domain. Optik 208, 164562 (2020)

    Article  Google Scholar 

  12. 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)

    Article  Google Scholar 

  13. 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)

  14. 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)

    Article  Google Scholar 

  15. 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)

    Article  Google Scholar 

  16. 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)

    Google Scholar 

  17. 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)

    Article  Google Scholar 

  18. 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)

    Article  Google Scholar 

  19. H.-T. Hu, L.-Y. Hsu, A mixed modulation scheme for blind image watermarking. AEU-Int. J. Electron. C. 70(2), 172–178 (2016)

    Article  Google Scholar 

  20. 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)

    Article  Google Scholar 

  21. 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)

    Article  Google Scholar 

  22. 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)

    MATH  Google Scholar 

  23. S. Koley, Visual attention model based dual watermarking for simultaneous image copyright protection and authentication. Multimed Tools Appl 80(5), 6755–6783 (2021)

    Article  Google Scholar 

  24. H. Ming-Kuei, Visual pattern recognition by moment invariants. IRE Trans. on Inform. Theory 8(2), 179–187 (1962)

    Article  MATH  Google Scholar 

  25. B. Mohan, S. Kumar, Robust digital watermarking scheme using contourlet transform. Int. J. Comp. Sci. Network Sec. 8, 43–51 (2008)

    Google Scholar 

  26. 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)

    Google Scholar 

  27. 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)

    Google Scholar 

  28. 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)

    Google Scholar 

  29. 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)

    Google Scholar 

  30. J. Pan, Y. Hsin, H. Huang, K. Huang, Robust image watermarking based on multiple description vector quantisation. Electron. Lett. 40(22), 1409–1410 (2004)

    Article  Google Scholar 

  31. 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)

    Article  Google Scholar 

  32. S.-C. Pei, C.-N. Lin, Image normalization for pattern recognition. Image Vis. Comput. 13(10), 711–723 (1995)

    Article  Google Scholar 

  33. 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)

    Google Scholar 

  34. 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)

    Article  Google Scholar 

  35. 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)

    Article  Google Scholar 

  36. S.P. Singh, G. Bhatnagar, A new robust watermarking system in integer DCT domain. J. Vis. Commun. Image Represent. 53, 86–101 (2018)

    Article  Google Scholar 

  37. H. Song, S. Yu, X. Yang, L. Song, C. Wang, Contourlet-based image adaptive watermarking. Signal Process: Image Commun. 23(3), 162–178 (2008)

    Google Scholar 

  38. 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)

    Article  Google Scholar 

  39. 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)

    Article  Google Scholar 

  40. 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)

    Article  Google Scholar 

  41. 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)

    Article  Google Scholar 

  42. Y. Wang, A. Pearmain, Blind image data hiding based on self reference. Pattern Recogn. Lett. 25(15), 1681–1689 (2004)

    Article  Google Scholar 

  43. 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)

    Article  Google Scholar 

  44. 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)

    Article  Google Scholar 

  45. D. Zheng, Y. Liu, J. Zhao, A. El Saddik, A survey of RST Invariant Image watermarking algorithms. ACM Comput. Surv. 39, 1–91 (2007)

    Article  Google Scholar 

Download references

Acknowledgements

This research work was supported in part by the Ministry of Science and Technology, Taiwan, ROC under grant MOST 109-2221-E-197-031.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hwai-Tsu Hu.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

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

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00034-022-01975-y

Keywords

Navigation