Skip to main content
Log in

Phase Watermarking Algorithm using Hybrid Multi-Polarity Hadamard Transform

  • Published:
Journal of Mathematical Imaging and Vision Aims and scope Submit manuscript

Abstract

In this paper, a robust phase watermarking algorithm for still images is presented where the watermark information is conveyed in the phase spectrum in the transform domain. Phase watermarking algorithm that uses multi-polarity Walsh-Hadamard and Complex Hadamard transform is developed. The robustness of presented algorithm is investigated by its uniqueness, JPEG encoding, image resizing, dithering noise distortions, sharpening, cropping and successive watermarking.

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.

Similar content being viewed by others

References

  1. Agaian, S.S.: Hadamard Matrices and Their Applications. Lecture Notes in Mathematics, vol. 1168. Springer, Berlin (1980)

    Google Scholar 

  2. CityU-IPL Image Database at http://www.image.cityu.hk/imagedb/

  3. Cox, I.J., Killian, J., Leighton, F.T., Shamoon, T.: Secure spread spectrum watermarking for multimedia. IEEE Trans. Image Process. 6(12), 1673–1687 (1997)

    Article  Google Scholar 

  4. Falkowski, B.J.: Properties and ways of calculation of multi-polarity generalized Walsh transforms. IEEE Trans. Circuits Syst. II: Analog Digit. Signal Process. 41(6), 380–391 (1994)

    Article  MATH  Google Scholar 

  5. Falkowski, B.J.: Family of generalized multi-polarity complex Hadamard transforms. IEE Proc. Vis. Image Signal Process. 145(6), 371–378 (1998)

    Article  Google Scholar 

  6. Falkowski, B.J., Rahardja, S.: Complex Hadamard transforms: properties, relations and architecture. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E87-A(8), 2077–2083 (2004)

    Google Scholar 

  7. Jahne, B.: Digital Image Processing, 5th edn. Springer, Berlin (2002)

    Google Scholar 

  8. Ó Ruanaidh, J.J.K., Dowling, W.J., Boland, F.M.: Watermarking digital images for copyright protection. IEE Proc. Vis. Image Signal Process. 143(4), 250–256 (1996)

    Article  Google Scholar 

  9. Ó Ruanaidh, J.J.K., Dowling, W.J., Boland, F.M.: Phase watermarking of digital images. In: Proc. IEEE Int. Conf. on Image Processing, pp. 239–242 (1996)

  10. Plataniotis, K.N., Venetsanopoulos, A.N.: Color Image Processing and Applications. Springer, Berlin (2000)

    Google Scholar 

  11. Proakis, J.G.: Digital Communications, 4th edn. McGraw-Hill, New York (2001)

    Google Scholar 

  12. Rahardja, S., Falkowski, B.J.: Comparative study of discrete orthogonal transforms in adaptive signal processing. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E82-A(8), 1386–1390 (1999)

    Google Scholar 

  13. Rahardja, S., Falkowski, B.J.: Family of unified complex Hadamard transforms. IEEE Trans. Circuits Syst. II: Analog Digit. Signal Process. 46(8), 1094–1100 (1999)

    Article  MATH  Google Scholar 

  14. Rahardja, S., Falkowski, B.J.: Complex composite spectra of unified complex Hadamard transform for logic functions. IEEE Trans. Circuits Syst. II: Analog Digit. Signal Process. 47(11), 1291–1297 (2000)

    Article  MATH  Google Scholar 

  15. Rahardja, S., Ser, W., Lin, Z.: UCHT-based complex sequences for asynchronous CDMA system. IEEE Trans. Commun. 51(4), 618–626 (2003)

    Article  Google Scholar 

  16. Robin, M., Poulin, M.: Digital Television Fundamentals: Design and Installation of Video and Audio Systems. McGraw-Hill, New York (1998)

    Google Scholar 

  17. Rojaini, K.B.: Programming in C with Numerical Methods for Engineers. Prentice Hall, Englewood Cliffs (1996)

    Google Scholar 

  18. Swanson, M.D., Kobayashi, M., Tewfik, A.H.: Multimedia data-embedding and watermarking techniques. Proc. IEEE 86(6), 1064–1087 (1998)

    Article  Google Scholar 

  19. Tian, J.: Wavelet-based reversible watermarking for authentication. In: Proc. SPIE Security and Watermarking of Multimedia Contents IV, San Jose, USA, pp. 679–690 (2002)

  20. Wallace, G.K.: The JPEG still picture compression standard. Commun. ACM 34(4), 30–44 (1991)

    Article  Google Scholar 

  21. Xie, S., Rahardja, S.: Performance evaluation for quaternary DS-SSMA communications with complex signature sequences over Rayleigh-fading channels. IEEE Trans. Wirel. Commun. 4(1), 266–277 (2005)

    Article  Google Scholar 

  22. Yaroslavsky, L.P.: Digital Picture Processing. Springer, Berlin (1985)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bogdan J. Falkowski.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Falkowski, B.J. Phase Watermarking Algorithm using Hybrid Multi-Polarity Hadamard Transform. J Math Imaging Vis 30, 13–21 (2008). https://doi.org/10.1007/s10851-007-0043-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10851-007-0043-4

Keywords

Navigation