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Applied Optics

Applied Optics


  • Vol. 44, Iss. 8 — Mar. 10, 2005
  • pp: 1372–1380

Pattern recognition with generalized centroids and subcentroids

Shoude Chang and Chander P. Grover  »View Author Affiliations

Applied Optics, Vol. 44, Issue 8, pp. 1372-1380 (2005)

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We propose a class of generalized moment functions (GMFs) that can be used to determine a set of geometric points, namely, generalized centroids (G centroids), within an object. Based on a linear GMF, a mass centroid and its subcentroids can be defined and extracted, which provide information on the location and orientation of an object. Similar to traditional moment functions, GMFs can also be used to describe the global shape of an object, including symmetry and fullness. However, GMFs, along with G centroids and subcentroids, can further serve to construct a feature vector of an object, which is critical for image registration and invariant pattern recognition. One can extract more distinguishing features from the same object by changing the combination of GMFs. We present results that show simulations of pattern recognition from uniform backgrounds.

© 2005 Optical Society of America

OCIS Codes
(100.2000) Image processing : Digital image processing
(100.5010) Image processing : Pattern recognition
(100.5760) Image processing : Rotation-invariant pattern recognition
(110.2960) Imaging systems : Image analysis
(200.4740) Optics in computing : Optical processing

Original Manuscript: July 7, 2004
Revised Manuscript: October 29, 2004
Manuscript Accepted: November 7, 2004
Published: March 10, 2005

Shoude Chang and Chander P. Grover, "Pattern recognition with generalized centroids and subcentroids," Appl. Opt. 44, 1372-1380 (2005)

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  1. A. Rosenfeld, A. C. Kak, Digital Picture Processing, 2nd ed. (Academic, Orlando, Fla., 1982), pp. 286–290.
  2. R. C. Gonzalez, R. E. Woods, Digital Image Processing (Addison-Wesley, New York, 1992), pp. 514–518.
  3. M. K. Hu, “Visual pattern recognition by moment invariants,” IRE Trans. Inf. Theory IT-8, 179–187 (1962).
  4. R. S. Caprari, “Method of target detection in images,” Appl. Opt. 38, 1317–1324 (1999). [CrossRef]
  5. P. C. Miller, R. S. Caprari, “Demonstration of improved automatic target-recognition performance by moment analysis of correlation peaks,” Appl. Opt. 38, 1325–1331 (1999). [CrossRef]
  6. N. G. Chen, Q. Zhu, “Characterization of small absorbers inside turbid media,” Opt. Lett. 27, 252–254 (2002). [CrossRef]
  7. J. Flusser, J. Boldy, B. Zitova, “Invariants to convolution in arbitrary dimensions,” J. Math. Imag. Vis. 13, 101–113 (2000). [CrossRef]
  8. F. M. Candocia, “Moment relations and blur invariant conditions for finite-extent signals in one, two and N-dimensions,” Pattern Recogn. Lett. 25, 437–447 (2004). [CrossRef]
  9. S. Chang, C. P. Grover, “Centroid detection based on optical correlation,” Opt. Eng. 41, 2479–2486 (2002). [CrossRef]
  10. M. O. Freeman, B. E. A. Saleh, “Optical location of centroids of nonoverlapping objects,” Appl. Opt. 26, 2752–2759 (1987). [CrossRef] [PubMed]
  11. S. Chang, H. H. Arsenault, P. Garcia-Martinez, C. P. Grover, “Invariant pattern recognition based on centroids,” Appl. Opt. 39, 6641 (2000). [CrossRef]

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