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Robust Digital Watermarking based on Key-Dependent Image Transform 呂承諭、張世旭

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Robust Digital Watermarking based on Key-Dependent Image Transform 呂承諭、張世旭

E-mail: [email protected]

ABSTRACT

With rapid growth of multimedia, d igital information and digital images are broadly transferring via internet but some of them are illegal. We can use digital watermarking technique to embed watermark in digital images to announce the copyright of the owner.

Watermark embedded in frequency domain can resist the Jpeg compression, if the basis transform is public, hackers can use the same basis to extract the watermark from the frequency domain. In this paper, we propose a key-dependent basis transform in our watermarking system in order to make the security high and make the watermark in the frequency domain can resist attack. We proposed a key-dependent and o rthonormal basis transform in our watermarking system. Since the basis functions or the key would be kept secrete, the watermark embedded in the transform domain is more robust and secure. To guarantee good robustness properties, the generated basis functions should have their energy concentrated mainly in low frequencies. Let the rows of the matrix H be arranged so that number of zero crossing increased with row number. After experiments, our watermarking system under Jpeg compression attack and smooth attack has a good resistance.

Keywords : image watermarking, orthonormal basis, public watermark detector, key-dependent basis transform, Table of Contents

Chapter1 Introduction...1 Chapter2 Preliminary...3 2.1 Watermarking System in Spatial Domain...3 2.2 Watermarking System in Fixed Transform Domain

...3 2.3 Watermark System in Key-Dependent Transform ...4 Chapter3 The Proposed Method ...6 3.1 Watermark Embedding Procedure ...6 3.1.1 Basis

Generator...,...7 3.1.2 Key Dependent Basis Transform ...10 3.1.3 Data Embedding ...11 3.1.4 Inverse Basis Transform ...15 3.2 Watermark Extraction

Procedure... ...16 3.2.1 Key Dependent Basis Transform ...17 3.2.2 Data Decoding ... .19 3.2.3 Similarity...20 Chapter4 Experiment

Results...21 Chapter5 Conclusion...38

Reference...39 Vita...41 REFERENCES

1. L. F. Turner, “Digital Data Security System,” Patent IPN WO89/08915, 1989. 2. I.J. Cox, J. Kilian, T. Leighton, and T. Shamoon, “Secure Spread Spectrum Watermarking for Images, Audio and Video,” in IEEE Int. Conference on Image Processing, col.3, pp. 243-246, 1996. 3. I.J.

Cox, J. Kilian, T. Leighton, and T. Shamoon, “A Secure, Robust Watermark for Multimedia,” in Information Hiding: First Int.Workshop Proc., R. Anderson, et., vol.1174 of Lecture Notes in Computer Science, pp. 185-206, 1996. 4. C. T. Hsu and J. L. Wu, “Hidden Signatures in Images,

” in IEEE Int.Conf. on Image Processing, 1996. 5. J. r. Smith and B. O. Comisket, “Modulation and Information Hiding in Images,” in IEEE Int. Conf. on Image Processing, 1996. 6. I.J. Cox and M.L. Miller, “A Review of Watermarking and the Importance of Perceptual Modeling,” in Proceedings of Electronic Imaging ’97, Feb. 1997. 7. E. Koch, J. Rindfrey and J. Zhao, “Copyright Protection for Multimedia Data,” in Proc.

of the Int. Conf. on Digital Media and Electronic Publishing, 1994. 8. M. Kuribayashi and H. Tanaka, “A New Digital Watermarking Scheme Applying Locally the Wavelet Transform,” in IEICE Trans. Fundamentals, Vol. E84-A, No. 10, pp. 2500-2507, October, 2001. 9. Peter Meerwald and Andreas Uhl, “Watermark Security via Wavelet Filter Parameterization,” in IEEE Signal Processing Society 2001 International Conference on Image Processing, Greece, October, 2001. 10. L.F. Turner, “Digital Data Security System.” in Information Hiding, R.

Anderson, ed., vol. 1174 of Lecture Notes in Computer Science, pp.1-5, Springer-Verlag, 1996. 11. R.G. van Schyndel, A.Z.Tirkel, and C.F.

Osborne, “A Digital Watermark,” in Int. Conf. on Image Processing, vol.2, pp.86-90, IEEE, 1994. 12. J. Brassil, S. Low, N. MAxerchuk, and L.

O’Gorman, “Electronic Marking and Identification Techniques to Discourage Document Copying,” in Proc. of Information Computer, pp.1278-1287,1994. 13. A.G. Bors and I. Pitas, ”Image Watermarking Using DCT Domain Constrains,” in IEEE Int. Conf. on Image Processing, 1996. 14. J. J. K. O. Ruanaidh, W.J. Dowling and F. Borland, “Phase Watermarking of Digital Images,” in IEEE Int. Conf. on Image Processing, 1996. 15. Yongjian Hu and Sam Kwong, “Wavelet Domain Adaptive Visibl atermarking,” in Electronics Letters Vol.37

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No.20. 27th Sep. 2001. 16. Jiri Fridrich and L.t Arnold C. Baldoza and Richard J. Simard ,“Robust Digital Watermarking Based on Key-Dependent Basis Functions,” in NEC Research Institute, Technical Report, 2001. 17. Anil K. Jain, “Fundamental of Digital Image Processing,” in Pretice Hall, 1989. 18. Gene H. Golub and Charles F. van Loan, “Matrix Computations Second Edition,” in the John Hopkins University Press, 1989. 19. R.C. Gonzalez and R.E. Woods, “Digital Image Processing,” in Addison-Wesley, 1992.

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