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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


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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

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