Image reconstruction from a complete set of similarity invariants extracted from complex moments

Pattern Recognition Letters

Volumn 27, Issue 12, 2006, Pages 1361-1369

  Ghorbel, F ^a   Derrode, S ^b   Mezhoud, R ^a   Bannour, T ^a   Dhahbi, S ^a  

^a UNIVERSITY OF MANOUBA   (Tunisia)

^b AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

Completeness; Complex moments; Pattern recognition; Reconstruction; Similarity invariants

Indexed keywords

DESCRIBING FUNCTIONS; EXTRACTION; FOURIER TRANSFORMS; IMAGE PROCESSING; INVARIANCE; THEOREM PROVING;

COMPLETENESS; COMPLEX MOMENTS; MOMENT INVARIANTS; SIMILARITY INVARIANTS;

IMAGE RECONSTRUCTION;

EID: 33646862146     PISSN: 01678655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patrec.2006.01.001     Document Type: Article

References (26)

1. Abu-Mostafa Y.S., and Psaltis D. Recognitive aspects of moments invariants. IEEE Trans. Pattern Anal. Mach. Intell. 6 6 (1984) 698-706
2. Abu-Mostafa Y.S., and Psaltis D. Image normalization by complex moments. IEEE Trans. Pattern Anal. Mach. Intell. 7 1 (1985) 46-55
3. Balslev I. Noise tolerance of moments invariant in pattern recognition. Pattern Recognit. Lett. 19 (1998) 1183-1189
4. Crimmins T.R. A complete set of Fourier descriptors for two dimensional shape. IEEE Trans. Syst. Man Cybernet. 121 6 (1982) 848-855
5. Davis P.J. Plane regions determined by complex moments. J. Approx. Theory 19 (1977) 148-153
6. Derrode S., and Ghorbel F. Robust and efficient Fourier-Merlin transform approximations for invariant grey-level image description and reconstruction. Comput. Vis. Image Understand. 83 1 (2001) 57-78
7. Derrode S., Mezhoud R., and Ghorbel F. Comparison between two complete sets of shape descriptors for 2D gray-level object content-based retrieval. Ann. Telecommun. 55 3/4 (2000) 184-193. in french. URL
8. Flusser J. On the inverse problem of rotation moment invariants. Pattern Recognit. 35 (2002) 3015-3017
9. Flusser J., and Suk T. Construction of complete and independent systems of rotation moment invariants. In: Petkov N., and Westenberg M.A. (Eds). Proc. of the Computer Analysis of Images and Patterns Conf. Lecture Notes in Computer Science vol. 2756 (2003), Springer, Berlin 41-48
10. Flusser J., Suk T., and Saic S. Recognition of blurred images by the method of moments. IEEE Trans. Image Process. 5 3 (1996) 533-538
11. Ghorbel F. A complete invariant description for gray-level images by the harmonic analysis approach. Pattern Recognit. Lett. 15 (1994) 1043-1051
12. Khotanzad A., and Hong Y.H. Invariant image recognition by Zernike moments. IEEE Trans. Pattern Anal. Mach. Intell. 12 5 (1990) 489-497
13. Liao S.X., and Pawlak M. On image analysis by moments. IEEE Trans. Pattern Anal. Mach. Intell. 18 3 (1996) 254-266
14. Liu J., and Zhang T. Recognition of the blurred image by complex moment invariants. Pattern Recognit. Lett. 26 8 (2005) 1128-1138
15. Ming-Kuel H. Visual pattern recognition by moment invariants. IRE Trans. Inf. Theory (1962) 179-187
16. Mukundan, R. 2004. A new class of rotational invariants using discrete orthogonal moments. In: Proc. of the 6th IASTED Int. Conf. on Signal and Image Proc. (SIP'04), Honolulu, Hawaii (USA), pp. 80-84.
17. Mukundan R., Ong S.H., and Lee P.A. Image analysis by Tchebichef moments. IEEE Trans Image Process. 10 9 (2001) 1357-1364
18. Prokop R.J., and Reeves A.P. A survey of moment-based techniques for unoccluded object representation and recognition. Graphical Models Image Process. 54 5 (1992) 438-460
19. Ren H., Ping Z., Bo W., Wu W., and Sheng Y. Multidistortion-invariant image recognition with radial harmonic Fourier moments. J. Opt. Soc. Am. A 20 4 (2003) 631-637
20. Sheng Y.L., and Shen L.X. Orthogonal Fourier-Merlin moments for invariant pattern recognition. J. Opt. Soc. Am. A 11 (1994) 1748-1757
21. Suk T., and Flusser J. Combined blur and affine moment invariants and their use in pattern recognition. Pattern Recognit. 36 (2003) 2895-2907
22. Suk T., and Flusser J. Projective moment invariants. IEEE Trans. Pattern Anal. Mach. Intell. 26 10 (2004) 1364-1367
23. Suk, T., Flusser, J. 2004. Graph method for generating affine moment invariants. In: Proc. of the 17th Int. Conf. on Pattern Recognit. (ICPR'04), vol. 2, Cambridge, UK, pp. 192-195.
24. Teague M.R. Image analysis via the general theory of moments. J. Opt. Soc. Am. A 70 8 (1980) 920-930
25. Wong W.H., Siu W.C., and Lam K.M. Generation of moment invariants and their uses for character recognition. Pattern Recognit. Lett. 16 (1995) 115-123
26. Yap P.T., Paramersan R., and Ong S.H. Image analysis by Krawtchouk moments. IEEE Trans. Image Process. 12 11 (2003) 1367-1377