Generic orthogonal moments: Jacobi-Fourier moments for invariant image description

Pattern Recognition

Volumn 40, Issue 4, 2007, Pages 1245-1254

  Ping, Ziliang ^a   Ren, Haiping ^b   Zou, Jian ^b   Sheng, Yunlong ^c   Bo, Wurigen ^d  

^a INNER MONGOLIA NORMAL UNIVERSITY   (China)

^b NATIONAL INSTITUTE FOR THE CONTROL OF PHARMACEUTICAL AND BIOLOGICAL PRODUCTS   (China)

^c UNIVERSITÉ LAVAL   (Canada)

^d PEKING UNIVERSITY   (China)

Author keywords

Image reconstruction error; Jacobi polynomial; Jacobi Fourier Moments; Multi distorted invariance; Noise sensibility

Indexed keywords

ACOUSTIC VARIABLES CONTROL; CHEBYSHEV APPROXIMATION; FOURIER TRANSFORMS; INVARIANCE; METHOD OF MOMENTS; POLYNOMIAL APPROXIMATION;

IMAGE RECONSTRUCTION ERROR; JACOBI POLYNOMIAL; JACOBI-FOURIER MOMENTS (JFM); MULTI-DISTORTED INVARIANCE; NOISE SENSIBILITY;

IMAGE RECONSTRUCTION;

EID: 33845419419     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patcog.2006.07.016     Document Type: Article

References (20)

1. Casasent D., and Psaltis D. Position rotation and scale invariant optical correlation. Appl. Opt. 15 (1976) 1795-1799
2. Arsennault H.H., and Sheng Y. Properties of the circular harmonic expansion for rotation-invariant pattern recognition. Appl. Opt. 25 18 (1986) 3225-3229
3. Ping Z.L., and Xu D.X. Optical method for completing simultaneously polar coordinate transfer and radial logarithmic transfer. Acta Optica Sin. 4 5 (1984) 425-429
4. Ping Z.L., and Sheng Y.L. Fourier-Mellin descriptor and interpolated feature space trajectories for three-dimensional object recognition. Opt. Eng. 39 (2000) 1260-1266
5. Hu M.K. Visual Pattern recognition by moment invariants. IRE. Trans. Inf. Theory IT-8 (1962) 179-187
6. M. Abramowitz, I.A. Stegun, Handbook of Functions With Formulas, Graphs and Mathematical Tables, Dover, New York, 1964, pp. 733-792.
7. Teague M.R. Image analysis via the general theory of moments. J. Opt. Soc. Am. 70 (1980) 920-930
8. M. Born, E. Wolf, Principle of Optics, sixth ed., Pergamon Press, Oxford, 1980, pp. 767-772.
9. Sheng Y., and Shen L. Orthogonal Fourier-Mellin moments for invariant pattern recognition. J. Opt. Soc. Am. A 11 6 (1994) 1748-1757
10. C.H. Teh, R.T. Chin, On image analysis by the methods of moments, IEEE Trans. Pattern Anal. Mach. Intell. 10 (1988) 496-513.
11. Ping Z.L., Wu R., and Sheng Y.L. Image description with Chebyshev-Fourier moments. J. Opt. Soc. Am. A 19 9 (2002) 1748-1754
12. Ren H.P., Ping Z.L., Wurigen, and Sheng Y.L. Multi-distorted invariant Image recognition with Radial-Harmonic-Fourier Moments. J. Opt. Soc. Am. A 20 4 (2003) 631-637
13. Mukundan R., Ong S.H., and Lee P.A. Image analysis by Tchebichef moments. IEEE Trans. Image Process. 10 9 (2001)
14. Abu-Mostafa Y.S., and Psaltis D. Recognition aspect of moment invariant. IEEE Trans. Pattern Anal. Mach. Intell. PAM-6 (1984) 698-706
15. Ziliang P., and Dalsgaad E. Synthetic circular harmonic phase-only filter for shifting, rotation and scaling invariant correlation. Appl. Opt. 34 (1995) 7527-7531
16. Ziliang P., Li S., Wang J., and Dalsgaard E. Circular harmonic minimum average energy filter for the multi-distorted invariant correlation. Chin. J. Laser B7 4 (1998) 347-352
17. Zadeh L.A. Fuzzy set. Inf. Control 8 (1965) 338-353
18. Russo F. Fuzzy processing of image data using FIRE filter. J. Intell. Fuzzy Syst. 15 4 (1997) 361-366
19. Taguchi A., Takashima H., and Murata Y. Fuzzy filter for image smoothing. Proceedings of the SPIE Conference on Nonlinear Image Processing. V. San. Jose, CA (7-9 February 1994) 332-339
20. Choi Y., and Krishnapuram R. A robust approach to image enhancement based on fuzzy logic. IEEE Trans. Image Process. 6 (1997) 808-825