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Distortion- and Noise-Robust Digital Watermarking Using Input and Fourier-Plane Phase Encoding

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Part of the book series: Advanced Sciences and Technologies for Security Applications ((ASTSA,volume 1))

Summary

In this chapter, we propose a technique for information hiding using input and Fourier-plane phase encoding. The proposed method uses a weighed double-phase-encoded hidden image embedded within a host image as the transmitted image. We develop an analytical presentation for the system performance using the statistical properties of double-phase encoding. The peak signal-to-noise ratio (PSNR) metric is used as a measure for the degradation in the quality of the host image and the recovered hidden image. We test, analytically, the distortion of the hidden image due to the host image and the effect of occlusion of the pixels of the transmitted image (that is, the host image containing the hidden image). Moreover, we discuss the effect of using only the real part of the transmitted image to recover the hidden image. Computer simulations are presented to test the system performance against these types of distortions. Simulations illustrate the system’s ability to recover the hidden image under distortions and the robustness of the hidden image against removal trials.

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References

  1. N.F. Johnson, Z. Duric, and S. Jajodia, Information Hiding: Steganography and Watermarking—Attacks and Countermeasures, (Advances in Information Security, Volume 1), (Kluwer Academic, Dordrecht, 2001).

    Google Scholar 

  2. W. Bender, D. Gruhl, N. Morimoto, and L. Lu, “Techniques for data hiding,” IBM Syst. J. 35(3,4), 313–336 (1996).

    Article  Google Scholar 

  3. J. Rosen and B. Javidi, “Hidden images in halftone pictures,” Appl. Opt. 40, 3346–3353 (2001).

    Article  ADS  Google Scholar 

  4. G.C. Langelaar, I. Setyawan, and R.L. Lagendijk, “Watermarking digital image and video data. A state-of-the-art overview,” IEEE Signal Process. Mag. 17(5), 20–46 (2000).

    Article  ADS  Google Scholar 

  5. C. Hosinger and M. Rabbani, “Data embedding using phase dispersion,” International Conference on Information Technology: Coding and Computing (ITCC2000), Las Vegas, NV, March 2000.

    Google Scholar 

  6. P. Réfrégier and B. Javidi, “Optical image encryption using input plane and Fourier plane random encoding,” Opt. Lett. 20, 767–769 (1995).

    Article  ADS  Google Scholar 

  7. J.R. Fienup, “Phase retrieval algorithms: A comparison,” Appl. Opt. 21, 2758–2769 (1982).

    Article  ADS  Google Scholar 

  8. R.K. Wang, I.A. Watson, and C. Chatwin, “Random phase encoding for optical secutity,” Opt. Eng. 35, 2464–2460 (1996).

    Article  ADS  Google Scholar 

  9. B. Javidi, A. Sergent, G. Zhang, and L. Guibert, “Fault tolerance properties of a double phase encoding encryption technique,” Opt. Eng. 36, 992–998 (1997).

    Article  ADS  Google Scholar 

  10. F. Goudail, F. Bollaro, B. Javidi, and P. Réfrégier, “Influence of perturbation in a double phase-encoding system,” J. Opt. Soc. Am. A, 15, 2629–2638 (1998).

    Article  ADS  Google Scholar 

  11. S. Kishk and b. Javidi, “Information hiding technique using double phase encoding,” Appl. Opt. 41, 5470–5482 (2002).

    ADS  Google Scholar 

  12. I.I. Gikhman and A.V. Skorokhod, Introduction to the Theory of Random Process (Dover, New York, 1969).

    Google Scholar 

  13. B.V. Gnedenko, The Theory of Probability, (Chelsea, New York, 1962).

    MATH  Google Scholar 

  14. B.V. Gnedenko, and A.N. Kolomogrov, Limit Distributions for Sums of Independent Random Variables, revised edition (Addison-Wesley, Reading, MA, 1968).

    MATH  Google Scholar 

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© 2005 Springer Science+Business Media, Inc.

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Kishk, S., Javidi, B. (2005). Distortion- and Noise-Robust Digital Watermarking Using Input and Fourier-Plane Phase Encoding. In: Javidi, B. (eds) Optical and Digital Techniques for Information Security. Advanced Sciences and Technologies for Security Applications, vol 1. Springer, New York, NY . https://doi.org/10.1007/0-387-25096-4_3

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