Skip to main content

Accurate Polar Harmonic Transform-Based Watermarking Using Blind Statistical Detector

  • Conference paper
  • First Online:
Network and System Security (NSS 2021)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 13041))

Included in the following conference series:

Abstract

Digital image watermarking is an effective image copyright protection technology, which embeds the copyright information into the image to be protected, therefore achieving the purpose of image copyright protection. The recently proposed Polar harmonic transforms (PHTs) have provided a set of powerful tools for image representation. However, the accuracy of PHTs suffers from various errors, such as the geometric and numerical integration errors. In this paper, we propose an accurate computational framework of PHTs based on wavelet integration approach and present a novel accurate PHT-based multiplicative watermarking algorithm. We embed watermark data into selected blocks of the host image by modifying the PHT magnitudes due to strong robustness against various attacks. At the receiver, the distribution of watermarked noisy PHT magnitudes is analytically calculated; closed form expressions are obtained for extracting the watermark bits. Compared with other decoders, the proposed decoder has better performance in terms of watermark robustness. In addition, the proposed watermarking algorithm can effectively resist geometrical attacks and common image processing attacks.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 64.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 84.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Bao, P., Ma, X.H.: Image adaptive watermarking using wavelet domain singular value decomposition. IEEE Trans. Circuits Syst. Video Technol. 15(1), 96–102 (2005)

    Article  Google Scholar 

  2. Liu, X.L., Han, G.N.: Fractional Krawtchouk transform with an application to image watermarking. IEEE Trans. Signal Process. 65(7), 1894–1908 (2017)

    Article  MathSciNet  Google Scholar 

  3. Dong, L., Yan, Q., Lv, Y., Deng, S.: Full band watermarking in DCT domain with Weibull model. Multimedia Tools Appl. 76(2), 1983–2000 (2016). https://doi.org/10.1007/s11042-015-3115-2

    Article  Google Scholar 

  4. Qin, C., Chang, C.C.: A novel joint data-hiding and compression scheme based on SMVQ and image inpainting. IEEE Trans. Image Process. 23(3), 969–978 (2014)

    Article  MathSciNet  Google Scholar 

  5. Qin, C., Zhang, X.Z.: Effective reversible data hiding in encrypted image with privacy protection for image content. J. Vis. Commun. Image Represent. 31(C), 154–164 (2015)

    Google Scholar 

  6. Makbol, N.M., Khoo, B.E., Rassem, T.H.: Block-based discrete wavelet transform-singular value decomposition image watermarking scheme using human visual system characteristics. IET Image Process. 10(1), 34–52 (2016)

    Article  Google Scholar 

  7. Rahman, S.M.M., Ahmad, M.O., Swamy, M.N.S.: A new statistical detector for DWT-based additive image watermarking using the Gauss-Hermite expansion. IEEE Trans. Image Process. 18(8), 1782–1796 (2009)

    Article  MathSciNet  Google Scholar 

  8. Cheng, Q., Huang, T.S.: An additive approach to transform-domain information hiding and optimum detection structure. IEEE Trans. Multimedia 3(3), 273–284 (2001)

    Article  Google Scholar 

  9. Briassouli, A., Tsakalides, P., Stouraitis, A.: Hidden messages in heavy-tails: DCT-domain watermark detection using alpha-stable models. IEEE Trans. Multimedia 7(4), 700–715 (2005)

    Article  Google Scholar 

  10. Akhaee, M.A., Sahraeian, S.M.E.: Robust scaling-based image watermarking using maximum-likelihood decoder with optimum strength factor. IEEE Trans. Multimedia 11(5), 822–833 (2009)

    Article  Google Scholar 

  11. Akhaee, M.A., Sahraeian, S.M.E., Marvasti, F.: Contourlet-based image watermarking using optimum detector in a noisy environment. IEEE Trans. Image Process. 19(4), 967–980 (2010)

    Article  MathSciNet  Google Scholar 

  12. Hamghalam, M., Mirzakuchaki, S., Akhaee, M.A.: Geometric modelling of the wavelet coefficients for image watermarking using optimum detector. IET Image Process. 8(3), 162–172 (2014)

    Article  Google Scholar 

  13. Coatrieux, G., Pan, W., Cuppens-Boulahia, N.: Reversible watermarking based on invariant image classification and dynamic histogram shifting. IEEE Trans. Inf. Forensic Secur. 8(1), 111–120 (2013)

    Article  Google Scholar 

  14. Zong, T.R., Xiang, Y., Natgunanathan, I.: Robust histogram shape-based method for image watermarking. IEEE Trans. Circuits Syst. Video Technol. 25(5), 717–729 (2015)

    Article  Google Scholar 

  15. Barni, M., Bartolini, F., De Rosa, A.: Optimum decoding and detection of multiplicative watermarks. IEEE Trans. Signal Process. 51(4), 1118–1123 (2003)

    Article  Google Scholar 

  16. Briassouli, A., Strintzis, M.G.: Locally optimum nonlinearities for DCT watermark detection. IEEE Trans. Image Process. 13(12), 1604–1617 (2004)

    Article  Google Scholar 

  17. Wang, J.W., Liu, G.J.: Locally optimum detection for Barni’s multiplicative watermarking in DWT domain. Signal Process. 88(1), 117–130 (2008)

    Article  Google Scholar 

  18. Kim, H.S., Lee, H.K.: Invariant image watermark using Zernike moments. IEEE Trans. Circuits Syst. Video Technol. 13(8), 766–775 (2003)

    Article  Google Scholar 

  19. Wang, X.Y., Shi, Q.L., Wang, S.M.: A blind robust digital watermarking using invariant exponent moments. AEU-Int. J. Electron. Commun. 70(4), 416–426 (2016)

    Article  Google Scholar 

  20. Li, L.D., Li, S.S., Abraham, A., Pan, J.S.: Geometrically invariant image watermarking using Polar Harmonic Transforms. Inf. Sci. 199(16), 1–19 (2012)

    Article  MathSciNet  Google Scholar 

  21. Qi, M., Li, B.Z., Sun, H.F.: Image watermarking using polar harmonic transform with parameters in SL (2, R). Signal Process. Image Commun. 31, 161–173 (2015)

    Article  Google Scholar 

  22. Singh, C., Upneja, R.: Accuracy and numerical stability of high-order polar harmonic transforms. IET Image process. 6(6), 617–626 (2012)

    Article  MathSciNet  Google Scholar 

  23. Aziz, I., Haq, F.: A comparative study of numerical integration based on Haar wavelets and hybrid functions. Comput. Math. with Appl. 59(6), 2026–2036 (2010)

    Article  MathSciNet  Google Scholar 

  24. Bian, Y., Liang, S.: Image watermark detection in the wavelet domain using Bessel K densities. IET Image Process. 7(4), 281–289 (2013)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgement

This work was supported in part by the National Science Foundation of China (NSFC) under Grant No. 61602226; in part by the PhD Startup Foundation of Liaoning Technical University of China under Grant No. 18-1021; in part by Science and Technology Development Plan Project of Taian City under Grant No. 2019GX027.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yu Sang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Sang, Y., Bei, Y., Yang, Z., Zhao, C. (2021). Accurate Polar Harmonic Transform-Based Watermarking Using Blind Statistical Detector. In: Yang, M., Chen, C., Liu, Y. (eds) Network and System Security. NSS 2021. Lecture Notes in Computer Science(), vol 13041. Springer, Cham. https://doi.org/10.1007/978-3-030-92708-0_17

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-92708-0_17

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-92707-3

  • Online ISBN: 978-3-030-92708-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics