Image reconstruction from a complete set of geometric and complex moments

Signal Processing

Volumn 98, Issue , 2014, Pages 224-232

  Honarvar, Barmak ^a   Paramesran, Raveendran ^a   Lim, Chern Loon ^a  

^a UNIVERSITY OF MALAYA   (Malaysia)

Author keywords

Complex moments; Gaussian blur; Geometric moments; Image reconstruction; Stirling transform

Indexed keywords

COMPLEX MOMENTS; GAUSSIAN BLUR; GEOMETRIC MOMENT; ORTHOGONAL MOMENTS; RECONSTRUCTION METHOD; STIRLING; STIRLING NUMBERS OF THE SECOND KINDS; THEORETICAL FRAMEWORK;

GEOMETRY; MATHEMATICAL TRANSFORMATIONS;

IMAGE RECONSTRUCTION;

EID: 84891284682     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2013.11.037     Document Type: Article

References (28)

1. G. Papakostas, Y. Boutalis, D. Karras, and B. Mertzios Pattern classification by using improved wavelet compressed Zernike moments Appl. Math. Comput. 212 1 2009 162 176
2. B. Chen, H. Shu, H. Zhang, G. Chen, C. Toumoulin, J. Dillenseger, and L. Luo Quaternion Zernike moments and their invariants for color image analysis and object recognition Signal Process. 92 2 2012 308 318
3. H.R. Kanan, and K. Faez Ga-based optimal selection of PZMI features for face recognition Appl. Math. Comput. 205 2 2008 706 715
4. J. Flusser, and T. Suk Classification of degraded signals by the method of invariants Signal Process. 60 2 1997 243 249
5. C. Deng, X. Gao, X. Li, and D. Tao A local Tchebichef moments-based robust image watermarking Signal Process. 89 8 2009 1531 1539
6. A fast template matching algorithm based on central moments of images.
7. M.K. Hu Visual pattern recognition by moment invariants IRE Trans. Inf. Theory 8 2 1962 179 187
8. Y.S. Abu-Mostafa, and D. Psaltis Image normalization by complex moments IEEE Trans. Pattern Anal. Mach. Intell. (PAMI) 7 1 1985 46 55
9. M.R. Teague Image analysis via the general theory of moments J. Opt. Soc. Am. 70 8 1980 920 930
10. F. Ghorbel, S. Derrode, S. Dhahbi, R. Mezhoud, Reconstructing with geometric moments, in: Proceedings of International Conference on Machine Intelligence (ACIDCA-ICMI'05), Tozeur, Tunisia, 2005.
11. J. Flusser, B. Zitova, and T. Suk Moments and Moment Invariants in Pattern Recognition 2009 Wiley Publishing
12. F. Ghorbel, S. Derrode, R. Mezhoud, T. Bannour, and S. Dhahbi Image reconstruction from a complete set of similarity invariants extracted from complex moments Pattern Recognit. Lett. 27 12 2006 1361 1369
13. B. Yang, and M. Dai Image analysis by Gaussian-Hermite moments Signal Process. 91 10 2011 2290 2303
14. B. Xiao, J.-F. Ma, and X. Wang Image analysis by Bessel-Fourier moments Pattern Recognit. 43 8 2010 2620 2629
15. K.M. Hosny Image representation using accurate orthogonal Gegenbauer moments Pattern Recognit. Lett. 32 6 2011 795 804
16. R. Mukundan, S. Ong, and P. Lee Image analysis by Tchebichef moments IEEE Trans. Image Process. 10 9 2001 1357 1364
17. P.T. Yap, R. Paramesran, and S.H. Ong Image analysis by Krawtchouk moments IEEE Trans. Image Process. 12 11 2003 1367 1377
18. P.T. Yap, R. Paramesran, and S.H. Ong Image analysis using Hahn moments IEEE Trans. Pattern Anal. Mach. Intell. 29 11 2007 2057 2062
19. H. Zhu, H. Shu, J. Zhou, L. Luo, and J. Coatrieux Image analysis by discrete orthogonal dual Hahn moments Pattern Recognit. Lett. 28 13 2007 1688 1704
20. H. Zhu, M. Liu, H. Shu, H. Zhang, and L. Luo General form for obtaining discrete orthogonal moments IET Image Process. 4 5 2010 335 352
21. H. Zhu, H. Shu, J. Liang, L. Luo, and J.-L. Coatrieux Image analysis by discrete orthogonal Racah moments Signal Process. 87 4 2007 687 708
22. J. Liu, and T. Zhang Recognition of the blurred image by complex moment invariants Pattern Recognit. Lett. 26 8 2005 1128 1138
23. N.J.A. Sloane, and S. Plouffe The Encyclopedia of Integer Sequences 1995 Academic Press San Diego
24. N.M. Temme Special Functions An Introduction to the Classical Functions of Mathematical Physics 1996 Wiley-Interscience New York
25. J. Flusser, J. Boldy, and B. Zitov Invariants to convolution in arbitrary dimensions J. Math. Imag. Vis. 13 2000 101 113
26. Y. Sheng, and L. Shen Orthogonal Fourier-Mellin moments for invariant pattern recognition J. Opt. Soc. Am. A 11 6 1994 1748 1757
27. A. Mittal, A. Moorthy, and A. Bovik No-reference image quality assessment in the spatial domain IEEE Trans. Image Process. 21 12 2012 4695 4708
28. L.C.H. Sheikh, Z. Wang, A. Bovik, Live image quality assessment database release 2. Available: 〈 http://live.ece.utexas.edu/research/ quality/subjective.htm ⌠(online).