OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 5 — May. 1, 2009
  • pp: 1080–1084

Computation of orthogonal Fourier–Mellin moments in two coordinate systems

Hai-tao Hu and Ping Zi-liang  »View Author Affiliations


JOSA A, Vol. 26, Issue 5, pp. 1080-1084 (2009)
http://dx.doi.org/10.1364/JOSAA.26.001080


View Full Text Article

Enhanced HTML    Acrobat PDF (206 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The computing method for orthogonal Fourier–Mellin moments in a polar coordinate system is presented in detail. The image expressed in a Cartesian system has to be transformed into a polar coordinate system first when we calculate the orthogonal Fourier–Mellin moments of the image in a polar coordinate system, which will increase both computational complexity and error. To solve the problem, a new direct computing method for orthogonal Fourier–Mellin moments in a Cartesian coordinate system is proposed, which can avoid the image transformation between two coordinate systems and eliminate the rounding error in coordinate transformation and decrease the computational complexity.

© 2009 Optical Society of America

OCIS Codes
(100.0100) Image processing : Image processing
(100.4994) Image processing : Pattern recognition, image transforms

ToC Category:
Image Processing

History
Original Manuscript: December 18, 2008
Revised Manuscript: February 16, 2009
Manuscript Accepted: February 21, 2009
Published: April 1, 2009

Citation
Hai-tao Hu and Ping Zi-liang, "Computation of orthogonal Fourier-Mellin moments in two coordinate systems," J. Opt. Soc. Am. A 26, 1080-1084 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-5-1080


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. D. Casasent and D. Psaltis, “Position, rotation and scale invariant optical correlation,” Appl. Opt. 15, 1795-1799 (1976). [CrossRef] [PubMed]
  2. H. H. Arsennault and Y. Sheng, “Properties of the circular harmonic expansion for rotation-invariant pattern recognition,” Appl. Opt. 25, 3225-3229 (1986). [CrossRef]
  3. Z. L. Ping and Y. L. Sheng, “Fourier-Mellin descriptor and interpolated feature space trajectories for three-dimensional object recognition,” Opt. Eng. 39, 1260-1266 (2000). [CrossRef]
  4. M. K. Hu, “Visual pattern recognition by moment invariants,” IRE Trans. Inf. Theory 8, 179-187 (1926).
  5. M. R. Teague, “Image analysis via the general theory of moments,” J. Opt. Soc. Am. 70, 920-930 (1980). [CrossRef]
  6. Y. L. Sheng and L. X. Shen, “Orthogonal Fourier-Mellin moments for invariant pattern recognition,” J. Opt. Soc. Am. A 11, 1748-1757 (1994). [CrossRef]
  7. A. B. Bhatia and E. Wolf, “On the circular polynomials of Zernike and related orthogonal sets,” J. Opt. Soc. Am. A 11, 1748-1757 (1994).
  8. C. H. Teh and R. T. Chin, “On image analysis by the methods of moments,” IEEE Trans. Pattern Anal. Mach. Intell. 10, 496-513 (1988). [CrossRef]
  9. S. X. Liao and M. Pawlak, “On image analysis by moments,” IEEE Trans. Pattern Anal. Mach. Intell. 18, 254-266 (1996). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited