Circularly orthogonal moments for geometrically robust image watermarking

Pattern Recognition

Volumn 40, Issue 12, 2007, Pages 3740-3752

  Xin, Yongqing ^a   Liao, Simon ^b   Pawlak, Miroslaw ^a  

^a UNIVERSITY OF MANITOBA   (Canada)

^b UNIVERSITY OF WINNIPEG   (Canada)

Author keywords

Digital watermarking; Geometric distortion; Pseudo Zernike moment; Watermark robustness; Zernike moment

Indexed keywords

COMPUTER SIMULATION; DECODING; IMAGE PROCESSING; INVARIANCE; LOW PASS FILTERS; ROBUSTNESS (CONTROL SYSTEMS);

CIRCULARLY ORTHOGONAL MOMENTS; GEOMETRIC DISTORTIONS; PSEUDO-ZERNIKE MOMENT; ZERNIKE MOMENT;

DIGITAL WATERMARKING;

EID: 34547663506     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patcog.2007.05.004     Document Type: Article

References (39)

1. Zernike F. Beugungstheorie des schneidenverfahrens und seiner verbesserten form, der phasenkontrastmethode. Physica 1 6 (1934) 689-704
2. Born M., and Wolf E. Principles of Optics (1975), Pergamon, Oxford
3. Teague M.R. Image analysis via the general theory of moments. J. Opt. Soc. Am. 70 (1980) 920-930
4. Khotanzad A., and Hong Y.H. Invariant image recognition by Zernike moments. IEEE Trans. Pattern Anal. Mach. Intell. 12 5 (1990) 489-497
5. Bailey R.R., and Srinath M. Orthogonal moment feature for use with parametric and non-parametric classifiers. IEEE Trans. Pattern Anal. Mach. Intell. 18 (1996) 389-396
6. Liao S.X., and Pawlak M. On the accuracy of Zernike moments for image analysis. IEEE Trans. Pattern Anal. Mach. Intell. 20 12 (1998) 1358-1364
7. Pawlak M., and Liao S.X. On the recovery of a function on a circular domain. IEEE Trans. Inf. Theory 48 10 (2002) 2736-2753
8. Mukundan R., and Ramakrishnan K. Fast computation of Legendre and Zernike moments. Pattern Recognition 28 9 (1995) 1433-1442
9. Mukundan R., and Ramakrishnan K. Moment Functions in Image Analysis: Theory and Applications (1998), World Scientific, Singapore
10. Teh C., and Chin R.T. On image analysis by the methods of moments. IEEE Trans. Pattern Anal. Mach. Intell. 10 4 (1988) 496-513
11. Trier O.D., Jain A.K., and Taxt T. Feature extraction methods for character recognition-a survey. Pattern Recognition 29 4 (1996) 641-662
12. Farzam M., and Shirani S. A robust multimedia watermarking technique using Zernike transform. IEEE International Workshop Multimedia Signal Processing (2001) 529-534
13. Kim H.S., and Lee H.K. Invariant image watermark using Zernike moments. IEEE Trans. Circuits Syst. Vid. 13 8 (2003) 766-775
14. Y. Xin, S. Liao, M. Pawlak, Geometrically robust image watermarking via pseudo-Zernike moments, in: IEEE Candian Conference on Electrical and Computer Engineering (CCECE), vol. 2, 2004, pp. 939-942.
15. Y. Xin, S. Liao, M. Pawlak, A multibit geometrically robust image watermark based on Zernike moments, in: International Conference on Pattern Recognition (ICPR) 2004, vol. IV, 2004, pp. 861-864.
16. Cox I.J., Miller M.L., and Bloom J.A. Digital Watermarking, Morgan Kaufmann (2001), Los Altos, CA
17. Hartung F., and Kutter M. Multimedia watermarking technique. Proc. IEEE 87 7 (1999) 1079-1107
18. Petitcolas F.A.P., Anderson R.J., and Kuhn M.G. Attacks on copyright marking systems. Proceedings of the Workshop on Information Hiding (1998) 218-238
19. O'Ruanaidh J., and Pun T. Rotation, scale and translation invariant spread spectrum digital image watermarking. Signal Process. 66 8 (1998) 303-317
20. Kutter M. Watermarking resisting to translation, rotation, and scaling. Proceedings of the SPIE Multimedia Systems Applications (1998) 423-431
21. Csurka G., Deguillaume F., O'Ruanaidh J.J.K., and Pun T. A Bayesian approach to affine transformation resistant image and video watermarking. Proceedings of the Third International Information Hiding Workshop (1999) 315-330
22. Pereira S., and Pun T. Robust template matching for affine resistant image watermarks. IEEE Trans. Image Process. 9 6 (2000) 1123-1129
23. M.Alghoniemy, A.H. Tewfik, Image watermarking by moment invariants, in: IEEE Conference on Image Processing, 2000, pp. 73-76.
24. M. Alghoniemy, A.H. Tewfik, Geometric distortion correction through image normalization, in: IEEE International Conference on Multimedia and Expo, 2000, pp. 1291-1294.
25. Alghoniemy M., and Tewfik A.H. Geometric invariants in image watermarking. IEEE Trans. Image Process. 13 (2004) 145-153
26. Lin C.Y., Wu M., Bloom J.A., Cox I.J., Miller M.L., and Liu Y.M. Rotation, scale, and translation resilient watermarking for images. IEEE Trans. Image Process. 10 5 (2001) 767-782
27. S. Voloshynovskiy, F. Deguillaume, T. Pun, Multibit digital watermarking robust against local nonlinear geometrical distortions, in: IEEE Conference on Image Processing, 2001, pp. 999-1102.
28. P. Dong, N.P. Galasanos, Affine transform resistant watermarking based on image normalization, in: IEEE International Conference on Image Processing, 2002, pp. 489-492.
29. Q. Chen, X. Yang, J. Zhao, Robust image watermarking with Zernike moments, in: IEEE Canadian Conference on Electrical and Computer Engineering (CCECE) 2005, Saskatoon, Canada, 2005, pp. 1340-1343.
30. Hu M.K. Visual pattern recognition by moment invariants. IRE Trans. Inf. Theory 8 (1962) 179-187
31. Chen B., and Wornell G.W. Quantization index modulation methods: a class of provably good methods for digital watermarking and information embedding. IEEE Trans. Inf. Theory 47 4 (2001) 1423-1443
32. Bhatia A.B., and Wolf E. On the circle polynomials of Zernike and related orthogonal sets. Proc. Cambridge Philos. Soc. 50 (1954) 40-48
33. Gonzalez R., and Woods R. Digital Image Processing (2002), Prentice-Hall, Englewood cliffs, NJ
34. M. Kutter, F.A.P. Petitcolas, A fair benchmark for image watermarking systems, in: Proceedings of the Electronic Imaging '99. Security and Watermarking of Multimedia Contents, vol. 3657, 1999.
35. F.A.P. Petitcolas, 〈http://www.petitcolas.net/fabien/watermarking/stirmark/〉 (online).
36. Cohen A.S., and Lapidoth A. The Gaussian watermarking game. IEEE Trans. Inf. Theory 48 6 (2002) 1639-1667
37. Moulin P., and O'Sullivan J.A. Information-theoretic analysis of information hiding. IEEE Trans. Inf. Theory 49 3 (2003) 563-593
38. Xin Y., Pawlak M., and Liao S. Accurate computation of Zernike moments in polar coordinates. IEEE Trans. Image Process. 16 2 (2007) 581-587
39. Mallat S. A Wavelet Tour of Signal Processing. second ed. (1999), Academic Press, New York