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Optics Letters

Optics Letters


  • Editor: Anthony J Campillo
  • Vol. 32, Iss. 1 — Jan. 1, 2007
  • pp: 32–34

Incremental principal component analysis for image processing

Yongkyu Kim  »View Author Affiliations

Optics Letters, Vol. 32, Issue 1, pp. 32-34 (2007)

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A simple method for updating the eigenvectors and eigenvalues of a covariance matrix when a new input sample is added is presented. This proposed method will be a solution for both rank-one modification problems of a symmetric matrix and adaptive principal component analysis.

© 2006 Optical Society of America

OCIS Codes
(100.2960) Image processing : Image analysis
(100.3010) Image processing : Image reconstruction techniques

ToC Category:
Image Processing

Original Manuscript: March 13, 2006
Revised Manuscript: September 10, 2006
Manuscript Accepted: October 12, 2006
Published: December 13, 2006

Yongkyu Kim, "Incremental principal component analysis for image processing," Opt. Lett. 32, 32-34 (2007)

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  1. G. H. Golub, SIAM Rev. 15, 318 (1973). [CrossRef]
  2. J. R. Bunch, C. P. Nielsen, and D. C. Sorensen, Numer. Math. 31, 31 (1978). [CrossRef]
  3. W. N. Gansterer, R. C. Ward, and R. P. Muller, ACM Trans. Math. Softw. 28, 45 (2002). [CrossRef]
  4. M. Gu and S. C. Eisenstat, 'A stable and fast algorithm for updating the singular value decomposition,' Tech. Rep. YALEU/DCS/RR-966 (Yale University, 1994).
  5. P. M. Hall, A. D. Marshall, and R. R. Martin, IEEE Trans. Pattern Anal. Mach. Intell. 22, 1042 (2000). [CrossRef]
  6. X. Liu and T. Chen, in Proceedings of the International Conference on Acoustics Speech and Signal Processing (IEEE, 2002), pp. 3389-3392.
  7. D. Erdogmus, Y. N. Rao, H. Peddaneni, A. Hegde, and J. C. Principe, J. Appl. Signal Processing 13, 2034 (2004). [CrossRef]
  8. Y. Li, Pattern Recognition 37, 1509 (2004). [CrossRef]
  9. M. Turk and A. Pentland, J. Cogn. Neurosci. 3, 71 (1991). [CrossRef]
  10. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C (Cambridge U. Press, 2002).

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