Image analysis by discrete orthogonal dual Hahn moments

Pattern Recognition Letters

Volumn 28, Issue 13, 2007, Pages 1688-1704

  Zhu, Hongqing ^a   Shu, Huazhong ^a,c   Zhou, Jian ^a   Luo, Limin ^a,c   Coatrieux, J L ^b,c  

^a SOUTHEAST UNIVERSITY   (China)

^b UNIVERSITÉ DE RENNES 1   (France)

^c Centre de Recherche en Information Biomedicale Sino Francais CRIBs   (France)

Author keywords

Discrete orthogonal moments; Dual Hahn polynomials; Image reconstruction; Pattern classification

Indexed keywords

DUAL HAHN POLYNOMIALS; GEOMETRIC MOMENTS; IMAGE RECONSTRUCTION CAPABILITY; KRAWTCHOUK POLYNOMIALS; LEGENDRE MOMENTS; NOISY CONDITIONS; ORTHOGONAL FUNCTIONS; TCHEBICHEF POLYNOMIALS;

COMPUTATIONAL COMPLEXITY; IMAGE RECONSTRUCTION; INFORMATION ANALYSIS; NUMERICAL ANALYSIS; PATTERN RECOGNITION; POLYNOMIAL APPROXIMATION;

IMAGE ANALYSIS;

EID: 34447315830     PISSN: 01678655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patrec.2007.04.013     Document Type: Article

References (26)

1. Álvarez-Nodarse R., Arvesú J., and Yáñez R.J. On the connection and linearization problem for discrete hypergeometric q-polynomials. J. Math. Anal. Appl. 257 1 (2001) 52-78
2. Álvarez-Nodarse R., and Costas-Santos R.S. Factorization method for difference equations of hypergeometric type on nonuniform lattice. J. Phys. A: Math. Gen. 34 (2001) 5551-5569
3. q(1, 1). J. Phys. A: Math. Gen. 29 (1996) 1435-1451
4. Arvesú J., Coussement J., and Assche W.V. Some discrete multiple orthogonal polynomials. J. Comput. Appl. Math. 153 1 (2003) 19-45
5. Chong C.W., Raveendran P., and Mukundan R. A comparative analysis of algorithms for fast computation of Zernike moments. Pattern Recognition 36 3 (2003) 731-742
6. q-Laguerre-Hahn class. J. Comput. Appl. Math. 153 (2003) 213-223
7. Hu M.K. Visual pattern recognition by moment invariants. IRE Trans. Inform. Theory 8 (1962) 179-187
8. Kiryati N., Bruckstein A.M., and Mizrahi H. Comments on: Robust line fitting in a noisy image by the method of moments. IEEE Trans. Pattern Anal. Machine Intell. 12 11 (2000) 1340-1341
9. Koekoek, R., Swarttouw, R., 1998. The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue, Report 98-17, Fac. Techn. Math. Informatics, Delft University of Technology, Delft.
10. Koepf W., and Schmersau D. On a structure formula for classical q-orthogonal polynomials. J. Comput. Appl. Math. 136 (2001) 99-107
11. Kupershmidt B.A. Q-analogs of classical 6-periodicity: From Euler to Chebyshev. J. Nonlinear Math. Phys. 10 3 (2003) 318-339
12. Mandal M.K., Aboulnasr T., and Panchanathan S. Image indexing using moments and wavelets. IEEE Trans. Consumer Electron. 42 3 (1996) 557-565
13. Mukundan, R., Ong, S.H., Lee, P.A., 2001a. Discrete vs. continuous orthogonal moments for image analysis. Internat. Conf. on Imaging Science, Systems and Technology-CISST'01, Las Vegas, pp. 23-29.
14. Mukundan R., Ong S.H., and Lee P.A. Image analysis by Tchebichef moments. IEEE Trans. Image Process. 10 9 (2001) 1357-1364
15. Mukundan R. Some computational aspects of discrete orthonormal moments. IEEE Trans. Image Process. 13 8 (2004) 1055-1059
16. Nikiforov A.F., and Uvarov V.B. Special Functions of Mathematical Physics (1988), Birkhauser, Basel, Boston
17. Qing C., Emil P., and Xiaoli Y. A comparative study of Fourier descriptors and Hu's seven moment invariants for image recognition. Canadian Conf. Electrical Comput. Eng. 1 2-5 (2004) 103-106
18. Ronveaux A., Zarzo A., Area I., and Godoy E. Classical orthogonal polynomials: Dependence of parameters. J. Comput. Appl. Math. 121 1-2 (2000) 95-112
19. Shu H.Z., Luo L.M., Yu W.X., and Fu Y. A new fast method for computing Legendre moments. Pattern Recognition 33 (2000) 341-348
20. Talenti G. Recovering a function from a finite number of moments. Inverse Problem 3 (1987) 501-517
21. Teague M.R. Image analysis via the general theory of moments. J. Opt. Soc. Amer. 70 8 (1980) 920-930
22. Temme, N.M., López, J.L., 2000. The Askey scheme for hypergeometric orthogonal polynomials viewed from asymptotic analysis. Technology Report, MAS-R0005.
23. Vega H.J. Yang-Baxter algebras, integral theories and quantum groups. Int. J. Mod. Phys. (1989) 2371-2463
24. Yap P.T., Paramesran R., and Ong S.H. Image analysis by Krawtchouk moments. IEEE Trans. Image Process. 12 11 (2003) 1367-1377
25. Yin J.H., Pierro A.R.D., and Wei M. Analysis for the reconstruction of a noisy signal based on orthogonal moments. Appl. Math. Comput. 132 2 (2002) 249-263
26. Zhu H.Q., Shu H.Z., Liang J., Luo L.M., and Coatrieux J.L. Image analysis by discrete orthogonal Racah moments. Signal Process. 87 (2007) 687-708