Comparative analysis of pattern reconstruction using orthogonal moments

Optical Engineering

Volumn 46, Issue 1, 2007, Pages

  Padilla Vivanco, Alfonso ^a,b   Urcid Serrano, Gonzalo ^b   Granados Agustín, Fermín ^b   Cornejo Rodríguez, Alejandro ^b  

^a UNIVERSIDAD POLITÉCNICA DE TULANCINGO   (Mexico)

^b INSTITUTO NACIONAL DE ASTROFÍSICA   (Mexico)

Author keywords

Circular complex polynomials; Grey level images; Image reconstruction; Interference patterns; Orthogonal moments; Ronchigrams

Indexed keywords

COMPUTATIONAL METHODS; POLYNOMIALS; SIGNAL INTERFERENCE; SIGNAL TO NOISE RATIO; WAVELET TRANSFORMS;

DAUBECHIES WAVELET TRANSFORM; DENOISING; ORTHOGONAL MOMENTS; PATTERN RECONSTRUCTION;

IMAGE RECONSTRUCTION;

EID: 34247269098     PISSN: 00913286     EISSN: 15602303     Source Type: Journal    
DOI: 10.1117/1.2432878     Document Type: Article

References (33)

1. S. O. Belkasin, "Pattern recognition with moment invariants - a comparative study and new results," Pattern Recogn. 24(12), 1117-1138 (1991).
2. C. Kan and M. D. Srinath, "Invariant character recognition with Zernike and orthogonal Fourier-Mellin moments," Pattern Recogn. 35, 143-154 (2002).
3. R. J. Prokop and A. P. Reeves, "A survey of moment-based techniques for unoccluded object representation and recognition," CV-GIP: Graph. Models Image Process. 54, 438-460 (1992).
4. A. Khotanzad, "Object recognition using a neural network and invariance Zernike features," in Int. Conf. on Computer Vision and Pattern Recognition, pp. 200-207, IEEE Computer Soc. (1989).
5. M. K. Hu, "Visual pattern recognition by moment invariants," IRE Trans. Inf. Theory IT-8, 179-187 (1962).
6. M. R. Teague, "Image analysis via the general theory of moments," J. Opt. Soc. Am. 70, 920-930 (1980).
7. Y. L. Sheng and L. X. Shen, "Orthogonal Fourier-Mellin moments for invariant pattern recognition," J. Opt. Soc. Am. A 11, 1748-1757 (1994).
8. Z. L. Ping, R. G. Wu, and Y. L. Sheng, "Image description with Chebyshev-Fourier moments," J. Opt. Soc. Am. A 19, 1748-1754 (2002).
9. R. Mukundan and K. R. Ramakrishnan, Moment Functions in Image Analysis, World Scientific, Singapore (1998).
10. G. Amu, S. Hasi, X. Yang, and Z. Ping, "Image analysis by pseudo-Jacobi (p=4, q=3)-Fourier moments," Appl. Opt. 43, 2093-2101 (2004).
11. A. Cornejo-Rodriguez, "Ronchi test," Chap. 10 in Optical Shop Testing, D. Malacara, Ed., 2nd ed., John Wiley and Sons, New York (1992).
12. A. B. Bhatia and E. Wolf, "On circular polynomials of Zernike and related orthogonal sets," Proc. Cambridge Philos. Soc. 50, 40-48 (1954).
13. C. Chong, P. Raveendran, and R. Mukundan, "A comparative analysis of algorithms for fast computation of Zernike moments," Pattern Recogn. 36, 731-742 (2003).
14. C. Chong, P. Raveendran, and R. Mukundan, "Translation invariants of Zernike moments," Pattern Recogn. 36, 1765-1773 (2003).
15. A. K. Jain, Fundamentals of Digital Image Processing, Prentice-Hall (1989).
16. W. K. Pratt, Digital Image Processing,, 2nd ed., John Wiley and Sons, New York (1991).
17. S. G. Tyan, "Median filtering, deterministic properties," in Two-Dimensional Digital Signal Processing, T. S. Huang, Ed., Vol. II, Springer-Verlag, Berlin (1981).
18. N. Becherer, H. Jodicke, G. Schlosser, J. Hesser, F. Zeilfelder, and R. Manner, "On soft clipping of Zernike moments for deblurring and enhancement of optical point spread functions," in Proc. SPIE 6065, 60650C-1-11 (2006).
19. R. Mukundan, "Image analysis by Tchebichef moments," IEEE Trans. Image Process. 10(9), 1357-1364 (2001).
20. P. T. Yap and R. Paramesan, "Image analysis by Krawtchouk moments," IEEE Trans. Image Process. 12(11), 1367-1377 (2003).
21. N. Hueber, B. Colicchio, A. Dieterlen, and S. Jacques, "Zernike polynomial applications in 3D fluorescence microscopy," Journeée du CRESPIM, Mulhouse, France (2003).
22. E. Micheli-Tzanakou, Supervised and Unsupervised Pattern Recognition, pp. 90-96, CRC Press, Boca Raton, FL (2000).
23. R. C. Gonzalez and R. E. Woods, Digital Image Processing, 2nd ed., Prentice-Hall, (2002).
24. E. Peli, "Contrast in complex images," J. Opt. Soc. Am. A 7, 2032-2040 (1990).
25. A. M. Eskicioglu. and P. S. Fisher, "Image quality measures and their performance," IEEE Trans. Commun. 43, 2959-2965 (1995).
26. S. Yi, J. T. Kwok, and Y. Wan, "Combination of images with diverse focus using the spatial frequency," Inf. Fusion 2, 169-176 (2001).
27. A. Sluzek, "Identification and inspection of 2-D objects using new moment-based shape descriptors," Pattern Recogn. Lett. 16, 687-697 (1995).
28. I. Daubechies, Ten Lectures on Wavelets, SIAM Press, Philadelphia (1992).
29. M. Pavel, G. Sperling, T. Riedl, and A. Vanderbeek, "Limits of visual communications: the effect of signal-to-noise ratio on the intelligibility of American Sign Language," J. Opt. Soc. Am. A 4, 2355-2365 (1987).
30. K. R. Castleman, Digital Image Processing, Prentice-Hall (1996).
31. S. G. Mallat, "A theory for multi-resolution signal decomposition in the wavelet representation," IEEE Trans. Pattern Anal. Mach. Intell. 11(7), 674-693 (1989).
32. C. S. Burrus, R. A. Gopinath, and H. Guo, Introduction to Wavelets and Wavelet Transforms, Prentice-Hall, (1998).
33. J. Torres and S. O. Infante, "Wavelet analysis for the elimination of striping noise in satellite images," Opt. Eng. 40(7), 1309-1314 (2001).