On the accuracy of image normalization by Zernike moments

Image and Vision Computing

Volumn 28, Issue 3, 2010, Pages 403-413

  Yang, Zhengwu ^a   Fang, Tao ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Image normalization; Image regularization; Scale space; Zernike moments

Indexed keywords

DIGITAL IMAGE; DISCRETIZATIONS; GEOMETRICAL ERROR; IMAGE NORMALIZATION; IMAGE REGULARIZATION; INFLUENCING FACTOR; INVARIANT PROPERTIES; POLAR COORDINATE; REGION-BASED; SCALE SPACES; SCALE-SPACE THEORY; SHAPE REPRESENTATION; ZERNIKE MOMENT INVARIANTS; ZERNIKE MOMENTS;

FACE RECOGNITION;

EID: 70449700115     PISSN: 02628856     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.imavis.2009.06.010     Document Type: Article

References (24)

1. Y. Abu-Mostafa, D. Psaltis, Image normalization by complex moments, in: Proc. IEEE Conf. Computer Vision and Pattern Recognition, June 1983, pp. 114-120.
2. Abu-Mostafa Y., and Psaltis D. Image normalization by complex moments. IEEE Trans. PAMI 7 1 (1985) 46-55
3. Canny J.F. A computational approach to edge detection. IEEE PAMI 8 6 (1986)
4. Chong C.-W., Raveendranb P., and Mukundanc R. A comparative analysis of algorithms for fast computation of Zernike moments. Pattern Recogn. 36 (2003) 731-742
5. Deriche R. Using Canny's criterion to derive a recursively implemented optimal edge detector. Int. J. Comput. Vision (1987) 167-187
6. Koenderink J.J. The structure of images. Biol. Cybernet. 50 (1984) 363-370
7. Khotanzad A., and Hong Y.H. Invariant image recognition by Zernike moments. IEEE Trans. PAMI 12 5 (1990) 489-497
8. Liao S.X., and Pawlak M. On image analysis by moments. IEEE Trans. PAMI 18 3 (1996) 254-266
9. Liao S.X., and Pawlak M. On the accuracy of Zernike moments for image analysis. IEEE Trans. PAMI 20 12 (1998) 1358-1633
10. S.X. Liao, Moment invariants for image analysis with application to image reconstruction, in: IEEE 1997 Conf. on Communications, Power and Computing, WESCANEX'97 Proceedings Winnipeg, MB, May 22-23 1997, pp. 157-162.
11. Nielsen M., Florack L., and Deriche R. Regularization, scale-space, and edge detection filters. J. Math. Imaging Vision 7 4 (1997) 291
12. M. Pawlak, S.X. Liao, Nonparametric estimation of a function on a circular domain, ISIT 1998, Cambridge, MA, USA, August 16-21.
13. Rudin L., Osher S., and Fatemi E. Nonlinear total variation based noise removed algorithm. Physica D 60 (1992) 259-268
14. Strong D.M., and Chan T.F. Edge-preserving and scale-dependent properties of total variation regularization. Inverse Prob. 19 (2003) S165-S187
15. Teague M. Image analysis via the general theory of moments. J. Opt. Soc. Am. 70 8 (1980) 920-930
16. Teh C.-H., and Chin R.T. On digital approximation of moment invariants. Comput. Vision Graph. Image Process. 33 (1986) 318-326
17. Teh C.-H., and Chin R.T. On image analysis by the methods of moments. IEEE Trans. PAMI 10 4 (1988) 496-513
18. Torre V., and Poggio T. On edge detection. IEEE Trans. PAMI 8 (1986) 147-163
19. Unser M., and Zerubia J. Generalized sampling: stability and performance analysis. IEEE Trans. Signal Process. 45 12 (1997) 2500-2941
20. Unser M., and Daubechies I. On the approximation power of convolution-based least squares versus interpolation. IEEE Trans. Signal Process. 45 7 (1997) 1697-1711
21. Unser M., Aldroubi A., and Eden M. Enlargement and reduction of digital images with minimum loss of information. IEEE Trans. Image Process. 4 (1995) 247-258
22. Wallinand A., and Kübler O. Complete sets of complex Zernike moment invariants and the role of pseudoinvariants. IEEE Trans. PAMI 17 11 (1995) 1106-1110
23. Xin Y., Liao S., and Pawlak M. On the improvement of rotational invariance of Zernike moments. IEEE ICIP (2005)
24. Xin Y., Liao S., and Pawlak M. Accurate computation of Zernike moments in polar coordinates. IEEE Trans. Image Process. 16 2 (2007) 581-587