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Applied Optics

Applied Optics


  • Vol. 24, Iss. 2 — Jan. 15, 1985
  • pp: 179–184

Rotation-invariant pattern recognition using optimum feature extraction

Ronald Wu and Henry Stark  »View Author Affiliations

Applied Optics, Vol. 24, Issue 2, pp. 179-184 (1985)

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In this paper we consider the problem of detecting a target regardless of its orientation when it is known that the target must be from one of two classes. We assume significant random intraclass variability, a complication which requires techniques from statistical pattern recognition for amelioration. The Foley-Sammon transformation for selecting optimum features from random training samples is used to solve the problem.

© 1985 Optical Society of America

Original Manuscript: July 27, 1984
Published: January 15, 1985

Ronald Wu and Henry Stark, "Rotation-invariant pattern recognition using optimum feature extraction," Appl. Opt. 24, 179-184 (1985)

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  1. D. Casasent, D. Psaltis, “Position, Rotation, and Scale Invariant Optical Correlation,” Appl. Opt. 15, 1795 (1976). [CrossRef] [PubMed]
  2. The problem of scale invariance was also considered in Ref. 1. We shall consider this issue in a subsequent paper.
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  7. R. Wu, H. Stark, “Rotation-Invariant Pattern Recognition Using a Vector Reference,” Appl. Opt. 23, 838 (1984). [CrossRef] [PubMed]
  8. K. Fukunaga, Introduction to Statistical Pattern Recognition (Academic, New York, 1972), p. 261.
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  10. H. Stark, D. Lee, “An Optical-Digital Approach to the Pattern Recognition of Coal-Workers' Pneumoconiosis,” IEEE Trans. Syst. Man Cybern. SMC-6, 788 (1976).
  11. R. K. O'Toole, H. Stark, “Comparative Study of Optical-Digital vs All-Digital Techniques in Textural Pattern Recognition,” Appl. Opt. 19, 2496 (1980). [CrossRef]
  12. The regions {C} are M-dimensional parallelepipeds whose dimensions along different coordinates are determined from the training samples. Typically each side of this hyperbox is centered at the projected center on that coordinate and has dimension 2σ where σ is the standard deviation of the projected samples along the same coordinate.

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