Abstract
Deviations of the actual coefficient distributions from the idealized theoretical models due to inherent modeling errors and possible attacks are big challenges for watermark detection. These uncertain deviations may degrade or even upset the performance of existing optimum detectors that are optimized at idealized models. In this paper, we present a new detection structure for transform domain additive watermarks based on Huber’s robust hypothesis testing theory. The statistical behaviors of the image subband coefficients are modeled by a contaminated generalized Gaussian distribution (GGD), which tries to capture small deviations of the actual situation from the idealized GGD. The robust detector is a min-max solution of the contamination model and turns out to be a censored version of the optimum probability ratio test. Experimental results on real images confirm the superiority of the proposed detector with respect to the classical optimum detector.
This work is supported by National Nature Science Foundation of China (60135010, 60321002) and Chinese National Key Foundation R & D Plan (2004CB318108).
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References
Huber, P.J.: A robust version of the probability ratio test. Ann. Math. Stat. 36, 1753–1758 (1965)
Martin, R.D., Schwartz, S.C.: Robust detection of a known signal in nearly Gaussian noise. IEEE Trans. Inform. Theory IT-17(1), 50–56 (1971)
Poor, H.V.: An Introduction to Signal Detection and Estimation. Springer, New York (1994)
Cox, I.J., Kilian, J., Leighton, F.T., Shammoon, T.: Secure spread spectrum watermarking for multimedia. IEEE Trans. Image Processing 6, 1673–1687 (1997)
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)
Cheng, Q., Huang, T.S.: Robust optimum detection of transform domain multiplicative watermarks. IEEE Trans. Signal Processing 51(4), 906–924 (2003)
Nikolaidis, A., Pitas, I.: Asymptotically optimal detection for additive watermarking in the DCT and DWT domains. IEEE Trans. Image Processing 12(5), 563–571 (2003)
Hernandez, J.R., Perez-Gonzalez, F.: Statistical analysis of watermarking schemes for copyright protection of images. Proc. IEEE 87, 1142–1166 (1999)
Hernandez, J.R., Amado, M., Perez-Gonzalez, F.: DCT-domain watermarking techniques for still images: detector performance analysis and a new structure. IEEE Trans. Image Processing 9(1), 55–68 (2000)
Barni, M., Bartolini, F., De Rosa, A., Piva, A.: A new decoder for the optimum recovery of nonadditive watermarks. IEEE Trans. Image Processing 10(5), 755–766 (2001)
Barni, M., Bartolini, F., De Rosa, A., Piva, A.: Optimum decoding and detection of multiplicative watermarks. IEEE Trans. Signal Processing 51(4), 1118–1123 (2003)
Briassouli, A., Strintzis, M.G.: Locally Optimum Nonlinearities for DCT Watermark Detection. IEEE Trans. Image Processing 13(12), 1604–1617 (2004)
Briassouli, A., Strintzis, M.G.: Optimal Watermark Detection Under Quantization in the Transform Domain. IEEE Trans. Circuits Syst. Video Technol. 14(12), 1308–1319 (2004)
Peterson, H.A., Ahumada Jr., A.J., Watson, A.B.: Improved detection model for DCT coefficient quantization. In: Proc. SPIE Conf. Human Vision, Visual Processing, and Digital Display IV, February 1993, vol. 1913, pp. 191–201 (1993)
Watson, A.B., Yang, G.Y., Solomon, J.A., Villasenor, J.: Visibility of wavelet quantization noise. IEEE Trans. Image Processing 6(8), 1164–1175 (1997)
Podilchuk, I., Zeng, W.: Image-adaptive watermarking using visual models. IEEE J. Select. Areas Commun. 16, 525–539 (1998)
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Huang, X., Zhang, B. (2005). Robust Detection of Transform Domain Additive Watermarks. In: Barni, M., Cox, I., Kalker, T., Kim, HJ. (eds) Digital Watermarking. IWDW 2005. Lecture Notes in Computer Science, vol 3710. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11551492_10
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DOI: https://doi.org/10.1007/11551492_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28768-1
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