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Applied Optics

Applied Optics


  • Vol. 39, Iss. 35 — Dec. 10, 2000
  • pp: 6641–6648

Invariant pattern recognition based on centroids

Shoude Chang, Henri H. Arsenault, Pascuala Garcia-Martinez, and Chander P. Grover  »View Author Affiliations

Applied Optics, Vol. 39, Issue 35, pp. 6641-6648 (2000)

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A new method for pattern recognition that is invariant under changes of position, orientation, intensity, and scale is presented. The centroids of objects provide unique points that are related to the energy distribution. For obtaining more such unique points a conformal transform can be used to rearrange the energy distribution of the object. By means of the conformal transform many different centroids can be produced from the same object. A useful pattern-recognition and object-registration method that yields a position-, rotation-, intensity-, and scale-invariant feature vector based on these centroids can be created.

© 2000 Optical Society of America

OCIS Codes
(070.6110) Fourier optics and signal processing : Spatial filtering
(100.4550) Image processing : Correlators
(100.5010) Image processing : Pattern recognition
(110.2960) Imaging systems : Image analysis
(200.4740) Optics in computing : Optical processing

Original Manuscript: February 22, 2000
Revised Manuscript: August 22, 2000
Published: December 10, 2000

Shoude Chang, Henri H. Arsenault, Pascuala Garcia-Martinez, and Chander P. Grover, "Invariant pattern recognition based on centroids," Appl. Opt. 39, 6641-6648 (2000)

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  1. M. K. Hu, “Visual pattern recognition by moment invariants,” IRE Trans. Inf. Theory. IT-8, 179–187 (1962).
  2. Y. S. Abu-Mostafa, D. Psaltis, “Recognition aspect of moment invariants,” IEEE Trans. Pattern Anal. Mach. Intel. PAMI-6, 698–706 (1984). [CrossRef]
  3. Y. Sheng, J. Duvernoy, “Circular Fourier–radial Mellin descriptors (FMDS) for pattern recognition,” J. Opt. Soc. Am. A 3, 885–888 (1986). [CrossRef] [PubMed]
  4. Y. Sheng, H. H. Arsenault, “Experiments on pattern recognition using invariant Fourier–Mellin descriptors,” J. Opt. Soc. Am. A 3, 771–776 (1986). [CrossRef] [PubMed]
  5. Y. Sheng, “Fourier–Mellin spatial filters for invariant pattern recognition,” Opt. Eng. 28, 494–499 (1989). [CrossRef]
  6. M. Fang, G. Hansler, “Class of transforms for invariant pattern recognition,” Appl. Opt. 29, 704–708 (1990). [CrossRef] [PubMed]
  7. R. C. Gonzalez, R. E. Woods, Digital Image Processing (Addison-Wesley, New York, 1992), p. 497.
  8. J. Duvernoy, “Optical–digital processing of directional terrain textures invariant under translation, rotation, and change of scale,” Appl. Opt. 23, 828–837 (1984). [CrossRef]
  9. T. Minemoto, K. Hara, “Hybrid pattern recognition by features extracted from object patterns and Fraunhofer diffraction patterns: development of a more useful method,” Appl. Opt. 25, 4065–4070 (1986). [CrossRef] [PubMed]
  10. V. Divijakovic, S. D. Ristov, B. Vojnovic, “Application of circular scanning of images to invariant pattern recognition,” Opt. Eng. 31, 1032–1037 (1992). [CrossRef]
  11. G. M. Morris, N. George, “Space and wavelength dependence of a dispersion-compensated matched filter,” Appl. Opt. 19, 3843–3850 (1980). [CrossRef] [PubMed]
  12. S. P. Almeida, S. K. Case, W. J. Dallas, “Multispectral size-averaged incoherent spatial filtering,” Appl. Opt. 18, 4025–4029 (1979). [CrossRef] [PubMed]
  13. K. Mersereau, G. M. Morris, “Scale-, rotation-, and shift-invariant image recognition,” Appl. Opt. 25, 2338–2342 (1986). [CrossRef]
  14. S. Chang, H. H. Arsenault, “Invariant optical-pattern recognition based on a contour bank,” Appl. Opt. 33, 3076–3085 (1994). [CrossRef] [PubMed]
  15. S. Chang, H. H. Arsenault, “Invariant pattern recognition using a calculus descriptor,” Opt. Eng. 33, 4045–4050 (1994). [CrossRef]
  16. S. Chang, C. P. Grover are preparing a paper entitled, “Optical centroid detection” for submission to Applied Optics.

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