Fast computation of orthogonal Fourier-Mellin moments in polar coordinates

Journal of Real-Time Image Processing

Volumn 6, Issue 2, 2011, Pages 73-80

  Hosny, Khalid Mohamed ^a,b   Shouman, Mohamed A ^a   Salam, Hayam M Abdel ^a  

^a Zagazig University   (Egypt)

^b NAJRAN UNIVERSITY   (Saudi Arabia)

Author keywords

Fast algorithm; Fourier Mellin moments; Gray level images; Polar coordinates; Symmetry property

Indexed keywords

FAST ALGORITHMS; FOURIER-MELLIN MOMENTS; GRAY LEVEL IMAGE; POLAR COORDINATE; SYMMETRY PROPERTY;

ALGORITHMS; FOURIER TRANSFORMS;

NUMERICAL METHODS;

EID: 79955909610     PISSN: 18618200     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11554-009-0135-z     Document Type: Article

References (13)

1. Sheng, Y., Shen, L.: Orthogonal Fourier-Mellin moments for invariant pattern recognition. J. Opt. Soc. Am. A 11(6), 1748-1757 (1994).
2. Teague, M.: Image analysis via the general theory of moments. J. Opt. Soc. Am. 70(8), 920-930 (1980).
3. Terrillon, J. C., McReynolds, D., Sadek, M., Sheng, Y., Akamatsu, S.: Invariant neural-network based face detection with orthogonal Fourier-Mellin moments. In: Proceedings of the 15th IEEE International Conference on Pattern Recognition, vol. 2, pp. 993-1000 (2000).
4. Kan, C., Srinath, M. D.: Invariant character recognition with Zernike and orthogonal Fourier-Mellin moments. Pattern Recognit. 35(1), 143-154 (2002).
5. Andrew, T. B. J., David, N. C. L.: Integrated wavelet and Fourier-Mellin invariant feature in fingerprint verification system. In: Proceedings of the 2003 ACM SIGMM Workshop on Biometrics Methods and Applications, pp. 82-88 (2003).
6. Wang, X., Xiao, B., Jian-Feng, M., Xiu-Li, B.: Scaling and rotation invariant analysis approach to object recognition based on Radon and Fourier-Mellin transforms. Pattern Recognit. 40(12), 3503-3508 (2007).
7. Jiu-bin, T., Lei, A., Ji-wen, C., Wen-jing, K., Dan-dan, L.: Subpixel edge location based on orthogonal Fourier-Mellin moments. Image Vis. Comput. 26(4), 563-569 (2008).
8. Papakostas, G. A., Boutalis, Y. S., Karras, D. A., Mertzios, B. G.: Fast numerically stable computation of orthogonal Fourier-Mellin moments. IET Comput. Vis. 1(1), 11-16 (2007).
9. Papakostas, G. A., Boutalis, Y. S., Karras, D. A., Mertzios, B. G.: Fast computation of orthogonal Fourier-Mellin moments using modified direct method. In: Proceedings of 6th EURASIP Conference Focused on Speech and Image Processing, Multimedia Communications and the 14th International Workshop of Systems, Signals and Image Processing, pp. 153-156 (2007).
10. Xin, Y., Pawlak, M., Liao, S.: Accurate computation of Zernike moments in polar coordinates. IEEE Trans. Image Process. 16(2), 581-587 (2007).
11. Hosny, K. M.: Exact and fast computation of geometric moments for gray-level images. Appl. Math. Comput. 189(2), 1214-1222 (2007).
12. Hosny, K. M.: Fast computation of accurate Zernike moments. J. Real-Time Image Process. 3(1-2), 97-107 (2008).
13. Gonzalez, R. C., Woods, R. E.: Digital Image Processing, 2nd edn. Prentice-Hall, Englewood Cliffs (2002).