Skip to main content
Log in

A blind color image watermarking scheme with variable steps based on Schur decomposition

  • Published:
Multimedia Tools and Applications Aims and scope Submit manuscript

Abstract

The widespread application of the Internet makes the protection of image copyright face serious challenges. For resolving this problem, this paper designs a blind color digital image watermarking algorithm which meets the requirements of invisibility, security and robustness. The advantages of the proposed method include the following two points: 1) the proposed method uses Affine transformation with large key space to encrypt the watermark information; 2) Schur decomposition with low complexity is selected and performed on the matrix blocks in different color channels of the host image. In this proposed method, the watermark embedding and blind extraction are completed by quantizing the eigenvalues on the diagonal of the decomposed matrix with different quantization steps. Experimental results show that the proposed method not only has good invisibility, but also has high security and strong robustness.

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
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15

Similar content being viewed by others

References

  1. Agarwal C, Mishra A, Sharma A (2013) Gray-scale image watermarking using GA-BPN hybrid network. J Vis Commun Image Represent 24(7):1135–1146

    Article  Google Scholar 

  2. Chang C, Shen J (2017) Features classification forest: a novel development that is adaptable to robust blind watermarking techniques. IEEE Trans Image Process 26(8):3921–3935

    Article  MathSciNet  Google Scholar 

  3. Chen H, Du X, Liu Z, Yang C (2013) Color image encryption based on the affine transform and gyrator transform. Opt Lasers Eng 51(6):768–775

    Article  Google Scholar 

  4. Cruz-Ramos C, Reyes-Reyes R, Nakano-Miyatake M, Perez-Meana H (2010) A blind video watermarking scheme robust to frame attacks combined with MPEG2 compression. J Appl Res Technol 8(3):323–337

    Article  Google Scholar 

  5. Golea N, Seghir R, Benzid R (2010) A bind RGB color image watermarking based on singular value decomposition. IEEE/ACS international conference on computer systems and applications (AICCSA): 1-5

  6. Golub G, Van Loan C (1996) Matrix computations. The Johns Hopkins

  7. Hai T, Li C, Jasni M, Ahmed N (2014) Robust image watermarking theories and techniques: a review. J Appl Res Technol 12(1):122–138

    Article  Google Scholar 

  8. Hernandez J, Amado M, Perez-Gonzalez F (2000) DCT-domain watermarking techniques for still images: detector performance analysis and a new structure. IEEE Trans Image Process 9(1):55–68

    Article  Google Scholar 

  9. Hsu L, Hu H (2017) Robust blind image watermarking using crisscross inter-block prediction in the DCT domain. J Vis Commun Image Represent 46:33–47

    Article  Google Scholar 

  10. Karybali I, Berberidis K (2006) Efficient spatial image watermarking via new perceptual masking and blind detection schemes. IEEE Trans Inform Forensics Sec 1(2):256–274

    Article  Google Scholar 

  11. Kincaid D, Kincaid D R, Cheney E (2009) Numerical analysis: mathematics of scientific computing. American Mathematical Soc

  12. Liu X, Lin C, Yuan S (2018) Blind dual watermarking for color images’ authentication and copyright protection. IEEE Trans Circ Syst Video Technol 28(5):1047–1055

    Article  Google Scholar 

  13. Liu Y, Tang S, Liu R, Zhang L, Ma Z (2018) Secure and robust digital image watermarking scheme using logistic and RSA encryption. Expert Syst Appl 97:95–105

    Article  Google Scholar 

  14. Madine F, Akhaee M, Zarmehi N (2018) A multiplicative video watermarking robust to H.264/AVC compression standard. Signal Process Image Commun 68:229–240

    Article  Google Scholar 

  15. Moosazadeh M, Ekbatanifard G (2017) An improved robust image watermarking method using DCT and YCoCg-R color space. Optik 140:975–988

    Article  Google Scholar 

  16. Nguyen T, Chang C, Yang X (2016) A reversible image authentication scheme based on fragile watermarking in discrete wavelet transform domain. AEU-Int J Electron Commun 70(8):1055–1061

    Article  Google Scholar 

  17. Roy S, Pal A (2017) A blind DCT based color watermarking algorithm for embedding multiple watermarks. AEU - Int J Electron Commun 72:149–161

    Article  Google Scholar 

  18. Sangwine S, Horne R (1998) The colour image processing handbook. Springer Berlin 29(5):461

    Book  Google Scholar 

  19. Shang Z, Ren H, Zhang J (2008) A block location scrambling algorithm of digital image based on Arnold transformation. 2008 the 9th international conference for young computer scientists. IEEE: 2942-2947

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

    Article  Google Scholar 

  21. Su Q (2016) Novel blind colour image watermarking technique using Hessenberg decomposition. IET Image Process 10(11):817–829

    Article  Google Scholar 

  22. Su Q, Chen B (2017) An improved color image watermarking scheme based on Schur decomposition. Multimed Tools Appl 76(22):24221–24249

    Article  Google Scholar 

  23. Su Q, Niu Y, Liu X, Zhu Y (2012) Embedding color watermarks in color images based on Schur decomposition. Opt Commun 285(7):1792–1802

    Article  Google Scholar 

  24. Su Q, Niu Y, Wang G, Jia S, Yue J (2014) Color image blind watermarking scheme based on QR decomposition. Signal Process 94(1):219–235

    Article  Google Scholar 

  25. Su Q, Wang G, Jia S, Zhang X, Liu Q, Liu X (2015) Embedding color image watermark in color image based on two-level DCT. SIViP 9(5):991–1007

    Article  Google Scholar 

  26. Su Q, Wang G, Zhang X, Lv G, Chen B (2018) A new algorithm of blind color image watermarking based on LU decomposition. Multidim Syst Sign Process 29(3):1055–1074

    Article  MathSciNet  Google Scholar 

  27. Su Q, Yuan Z, Liu D (2019) An approximate Schur decomposition-based spatial domain color image watermarking method. IEEE Access 7(1):4358–4370

    Article  Google Scholar 

  28. University of Granada. Computer Vision Group. CVG-UGR Image Database, http://decsai.ugr.es/cvg/dbimagenes/c512.php

  29. University of Southern California, Signal and Inage Processing Institute. USC-SIPI Image Database, http://sipi.usc.edu/database/

  30. Wan W, Wang J, Li J, Meng L, Sun J, Zhang H, Liu J (2018) Pattern complexity-based JND estimation for quantization watermarking. Pattern Recogn Lett. https://doi.org/10.1016/j.patrec.2018.08.009

  31. Wan W, Wang J, Li J, Sun J, Zhang H, Liu J (2018) Hybrid JND model-guided watermarking method for screen content images. Multimedia tools and applications: 1-24

  32. Wan W, Wang J, Xu M, Li J, Sun J, Zhang H (2019) Robust image watermarking based on two-layer visual saliency-induced JND profile. IEEE Access 7:39826–39841

    Article  Google Scholar 

  33. Wang J, Li T, Shi Y, Lian S, Ye J (2017) Forensics feature analysis in quaternion wavelet domain for distinguishing photographic images and computer graphics. Multimed Tools Appl 76(22):23721–23737

    Article  Google Scholar 

  34. Wang H, Hu Y, Yu L, Sun W (2018) The research of blind watermarking based on zigzag and affine transformation. 2018 37th Chinese control conference (CCC), IEEE: 9250–9254

  35. Yuan X, Li M (2018) Local multi-watermarking method based on robust and adaptive feature extraction. Signal Process 149:103–117

    Article  Google Scholar 

  36. Zhu G, Lei B, Quan P, Ye J (2010) Quasi-affine transform over limited integer grids and its application. 2010 third international symposium on information science and engineering. IEEE: 184-187

  37. Zou L, Sun J, Gao M, Wan W, Gupta B (2018) A novel coverless information hiding method based on the average pixel value of the sub-images. Multimedia tools and applications: 1-16

Download references

Acknowledgements

The research was partially supported by the National Natural Science Foundation of China (No. 61771231, 61772253, 61873117 and 61872170), and Key Research and Development Program of Shandong Province (No. 2019GGX101025).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qingtang Su.

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

Liu, D., Yuan, Z. & Su, Q. A blind color image watermarking scheme with variable steps based on Schur decomposition. Multimed Tools Appl 79, 7491–7513 (2020). https://doi.org/10.1007/s11042-019-08423-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11042-019-08423-1

Keywords

Navigation