Abstract
Theoretical modeling of watermarks allow prediction of the detector reliability and facilitates the development of more reliable systems. In particular, mathematical evaluation is relevant to estimate the rate at which “false alarms” occur. In this paper, the probability of incorrect detection (missed detection or false alarm) is expressed in terms of the watermark-energy-to-image-luminance-variance ratio. We present some counterintuitive results which show for instance that the reliability of detection significantly depends on spatial correlation in watermark. Moreover we find that a small but uncompensated random DC component in the watermark can have a significant effect on the reliability.
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References
I. Pitas, T. Kaskalis: “Signature Casting on Digital Images”, Proceedings IEEE Workshop on Nonlinear Signal and Image Processing, Neos Marmaras, June 1995
W. Bender, D. Gruhl, N. Morimoto and A. Lu, “Techniques for data hiding”, IBM Systems Journal, Vol. 35. No. 3/4 1996
J.R. Smith, B. O. Comiskey, “Modulation and Information Hiding in Images”, in Proc. Workshop on Information Hiding, Univ. of Cambridge, U.K., May 30–June 1, 1996, pp. 191–201
I. Cox, J. Kilian, T. Leighton and T. Shamoon, “A secure, robust watermark for multimedia”, in Proc. Workshop on Information Hiding, Univ. of Cambridge, U.K., May 30–June 1, 1996, pp. 175–190
I.J. Cox and J.P.M.G. Linnartz, “Public Watermarks and resistance to tampering”, Presented at ICIP 97, Santa Barbara, CA, October 1997.
J.P.M.G. Linnartz, A.C.C. Kalker, G.F.G. Depovere and R. Beuker, “A reliability model for detection of electronic watermarks in digital images”, Benelux Symposium on Communication Theory, Enschede, October 1997, pp. 202–208
Ton Kalker, “Watermark Estimation Through Detector Observations”, in Proc. of the IEEE Benelux Signal Processing Symposium, 1998, Leuven, Belgium, pp. 119–122.
Ton Kalker, Jean-Paul Linnartz and Geert Depovere, “On the Reliability of detecting Electronic Watermarks in Digital Images”, acc. at Eusipco’ 98
I. J. Cox, M. L. Miller, “A review of watermarking and the importance of perceptual modeling”, Proc. of Electronic Imaging 97, Feb. 1997.
N.S. Jayant and P. Noll., “Digital Coding of waveforms” Prentice Hall, 1984.
Ch. W. Therrien, “Discrete Random Signals and Statistical Signal Processing” Prentice Hall, 1992.
“Wireless Communication, The InteractiveMultiMedia CD ROM”, Baltzer Science Publishers, Amsterdam, 2nd Edition, 1997, http://www.baltzer.nl/wirelesscd
F.J. McWilliams and N.J.A. Sloane, “Pseudo-Random Sequences and arrays”, Proc. of IEEE, Vol. 64, No. 12, Dec. 1976, pp. 1715–1729
D. Lin and M. Liu, “Structure and Properies of Linear Recurring m-arrays”, IEEE Tr. on Inf. Th., Vol. IT-39, No. 5, Sep. 1993, pp. 1758–1762
G.R. Grimmet and D.R. Stirzaker, “Probability and Random Processes”, chapter on convergence of random variables, Oxford Science Publishers, 2nd Edition, 1992.
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© 1998 Springer-Verlag Berlin Heidelberg
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Linnartz, J.P., Kalker, T., Depovere, G. (1998). Modelling the False Alarm and Missed Detection Rate for Electronic Watermarks. In: Aucsmith, D. (eds) Information Hiding. IH 1998. Lecture Notes in Computer Science, vol 1525. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49380-8_23
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DOI: https://doi.org/10.1007/3-540-49380-8_23
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