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A watermarking algorithm based on chirp z-transform, discrete wavelet transform, and singular value decomposition

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Abstract

Digital watermarking has attracted increasing attentions as it has been the current solution to copyright protection and content authentication which has become an issue to be addressed in multimedia technology. This study introduces a novel watermarking scheme based on the discrete wavelet transform (DWT) in combination with the chirp z-transform (CZT) and the singular value decomposition (SVD). Firstly, the image is decomposed into its frequency subbands by using 1-level DWT. Then, the high-frequency subband is transformed into z-domain by using CZT. Afterward by SVD, the watermark is added to the singular matrix of the transformed image. Finally, the watermarked image is obtained by using inverse of CZT and inverse of DWT. This algorithm combines the advantages of all three algorithms. The experimental result shows that the algorithm is imperceptible and robust to several attacks and signal processing operations.

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References

  1. Cedillo-Hernández, M., García-Ugalde, F., Nakano-Miyatake, M., Pérez-Meana, H.M.: Robust hybrid color image watermarking method based on DFT domain and 2D histogram modification. Signal Image Video Process. 8, 49–63 (2013)

    Google Scholar 

  2. Chrysochos, E., Fotopoulos, V., Xenos, M., Skodras, A.N.: Hybrid watermarking based on chaos and histogram modification. Signal Image Video Process., 1–15 (2012)

  3. Kansal, M., Singh, G., Kranthi, B.V.: DWT, DCT and SVD based digital image watermarking. In: International Conference on Computing Sciences (ICCS), pp. 77–81 (2012)

  4. Lai, C., Tsai, C.: Digital image watermarking using discrete wavelet transform and singular value decomposition. IEEE Trans. Instrum. Meas. 59(11), 3060–3063 (2010)

    Article  Google Scholar 

  5. Chandra Mohan, B., Srinivas Kumar, S.: A robust image watermarking scheme using singular value decomposition. J. Multimed. 3(1), 7–15 (2008)

    Google Scholar 

  6. Rahimi, F., Rabani, F.: A visually imperceptible and robust image watermarking scheme in contourlet domain. In: International Conference on Signal Processing (ICSP), pp. 1817–1820 (2010)

  7. Riaz, S., Javed, M.Y., Anjum, M.A.: Invisible watermarking schemes in spatial and frequency domains. In: International Conference on Emerging Technologies (ICET), pp. 211–216 (2008)

  8. Agoyi, M., Seral, D.: An imperceptible watermarking marking scheme based on double density dual tree DWT and SVD. In: 6th International Conference on Information Security and Cryptology (ISC) (2012)

  9. Foo, S.W., Dong, Q.: A normalization-based robust image watermarking scheme using SVD and DCT. Acad. Sci. Eng. Technol. 6(1), 205–210 (2010)

    Google Scholar 

  10. Kintak, U., Shengdun, H., Dongxu, Q., Zesheng, T.: A robust image watermarking algorithm based on non-uniform rectangular partition and SVD. In: Pacific-Asia Conference on Knowledge Engineering And Software Engineering (KESE), pp. 163–166 (2009)

  11. Takaya, K., Ma, T.-N.: Application of image reconstruction by means of chirp z-transform. In: IAPR Workshop on Machine Vision Application, pp. 77–80 (1990)

  12. Tong, R., Cox, R.W.: Rotation of NMR images using the 2D chirp-z transform. Magn. Reson. Med. 41(2), 253–256 (1999)

    Article  Google Scholar 

  13. Bhavadas, K.N.: The Applications of Chirp Z-Transform Algorithm. Seminar Report at the Government Engineering College, Thrissur (2000)

  14. Vaseghi, S.V.: Multimedia Signal Processing: Theory and Applications in Speech, Music and Communications, pp. 79–102. Wiley, New York (2007)

    Book  Google Scholar 

  15. Taylor, P.: Text-to-Speech Synthesis, pp. 297–308. Cambridge University Press, Cambridge, MA (2009)

    Book  Google Scholar 

  16. Rabiner, L.R., Schafer, R.W., Rader, C.M.: The chirp z-transform algorithm and its applications. Bell Syst. Tech. J., 1249–1292 (1969)

  17. Stillings, S.A.: A Study of the Chirp Z-Transform Algorithm and its Applications, Technical Report. Kansas State University (1972)

  18. Bradley, A.P.: Shift-invariance in the discrete wavelet transform. In: Proceedings of the VIIth Digital Image Computing: Techniques and Applications, pp. 29–38 (2003)

  19. Anjum, S.R., Verm, P.: Performance evaluation of DWT based image watermarking using error correcting codes. Int. J. Adv. Comput. Res. 2, No. 4, Issue-7, 151–156 (2012)

  20. Dejey, D., Rajesh, R.S.: Robust discrete wavelet-fan beam transforms-based colour image watermarking. IET Image Process 5(4), 315–322 (2011)

    Article  Google Scholar 

  21. Bedi, S.S., Kumar, A., Kapoor, P.: Robust secure SVD based DCT-DWT oriented watermarking technique for image authentication. Int. J. Comput. Internet Manag. 17(SP1), 46.1–46.7 (2009)

    Google Scholar 

  22. Abdulsattar, F.S.: Robust digital watermarking technique for satellite images. J. Eng. Dev. 16(2), 133–143 (2012)

    Google Scholar 

  23. Li, Q., Yuan C., Zhong, Y.: Adaptive DWT-SVD domain image watermarking using human visual model. In: The 9th International Conference on Advanced Communication Technology, pp. 1947–1951 (2007)

  24. Liang, L., Qi, S.: A new SVD-DWT composite watermarking. In: 8th International Conference on Signal Processing (ICSP) (2006)

  25. Chung, K., Yang, W., Huang, Y., Wu, S., Hsu, Y.: On SVD-based watermarking algorithm. Appl. Math. Comput. 188(1), 54–57 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  26. Liu, G., Dong, Z., Yang, S., Zhao, X.: Power fundamental frequency detection based on orthometric average chirp-z transform. In: 18th International Conference on Automation and Computing (ICAC), pp. 1–6 (2012)

  27. Ejima, M., Myazaki, A.: On the evaluation of performance of digital watermarking in the frequency domain. In: IEEE International Conference on Image Processing, pp. 546–549 (2001)

  28. Al-Haj, A.: Combined DWT-DCT digital image watermarking. J. Comput. Sci. 3(9), 740–746 (2007)

    Article  Google Scholar 

  29. Kim, B., Choib, J., Parka, C., Wonc, J., Kwaka, D., Oha, S., Kohd, C., Parka, K.: Robust digital image watermarking method against geometrical attacks. Real-Time Imaging 9(2), 139–149 (2003)

    Article  Google Scholar 

  30. Song, C., Sudirman, S., Merabti, M., Llewellyn-Jones, D.T.: Analysis of digital image watermark attacks. In: 7th IEEE Consumer Communications and Network Conference (CCNC), pp. 1–5 (2010)

  31. Wang, Z., Bovik, A.C., Sheikh, H.R., Simoncelli, E.P.: Image quality assessment: from error visibility to structural similarity. IEEE Trans. Image Process. 13(4), 600–612 (2004)

    Google Scholar 

  32. Rouse, D.M., Hemami, S.S.: Understanding and simplifying the structural similarity metric. In: IEEE International Conference on Image Processing (ICIP) (2008)

  33. Abdallah, H.A., Hadhoud, M.M., Shaalan, A.A.: SVD-based watermarking scheme in complex wavelet domain for color video. In: International Conference on Computer Engineering & System (ICCES), pp. 455–460 (2009)

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Acknowledgments

This work is partially supported by ERDF program “Estonian higher education information and communications technology and research and development activities state program 2011–2015 (ICT program)”.

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Correspondence to Gholamreza Anbarjafari.

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Agoyi, M., Çelebi, E. & Anbarjafari, G. A watermarking algorithm based on chirp z-transform, discrete wavelet transform, and singular value decomposition. SIViP 9, 735–745 (2015). https://doi.org/10.1007/s11760-014-0624-9

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  • DOI: https://doi.org/10.1007/s11760-014-0624-9

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