Abstract

The Fukunaga-Koontz (F-K) transform is a linear transformation that performs image-feature extraction for a two-class image classification problem. It has the property that the most important basis functions for representing one class of image data (in a least-squares sense) are also the least important for representing a second image class. We present a new method of calculating the F-K basis functions for large dimensional imagery by using a small digital computer, when the intraclass variation can be approximated by correlation matrices of low rank. Having calculated the F-K basis functions, we use a coherent optical processor to obtain the coefficients of the F-K transform in parallel. Finally, these coefficients are detected electronically, and a classification is performed by the small digital computer.

© 1982 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. R. Leger and S. H. Lee, "Signal processing using hybrid systems," in Applications of the Optical Fourier Transform, H. Stark, ed. (Academic, New York, 1982).
  2. J. R. Leger and S. H. Lee, "Coherent optical implementation of generalized two-dimensional transforms," Opt. Eng. 18, 518–523 (1979).
  3. K. Fukunaga and W. L. G. Koontz, "Application of the Karhunen-Loève expansion to feature selection and ordering," IEEE Trans. Comput. C-19, 311–318 (1970).
  4. K. Fukunaga, Introduction to Statistical Pattern Recognition (Academic, New York, 1972).
  5. P. Sanyal and D. H. Foley, "Feature selection by a modified Fukunaga-Koontz transform and its graphical interpretation," presented at the Milwaukee Symposium on Automatic Computation and Control, April 24, 1976.

1979 (1)

J. R. Leger and S. H. Lee, "Coherent optical implementation of generalized two-dimensional transforms," Opt. Eng. 18, 518–523 (1979).

Foley, D. H.

P. Sanyal and D. H. Foley, "Feature selection by a modified Fukunaga-Koontz transform and its graphical interpretation," presented at the Milwaukee Symposium on Automatic Computation and Control, April 24, 1976.

Fukunaga, K.

K. Fukunaga and W. L. G. Koontz, "Application of the Karhunen-Loève expansion to feature selection and ordering," IEEE Trans. Comput. C-19, 311–318 (1970).

K. Fukunaga, Introduction to Statistical Pattern Recognition (Academic, New York, 1972).

Koontz, W. L. G.

K. Fukunaga and W. L. G. Koontz, "Application of the Karhunen-Loève expansion to feature selection and ordering," IEEE Trans. Comput. C-19, 311–318 (1970).

Lee, S. H.

J. R. Leger and S. H. Lee, "Coherent optical implementation of generalized two-dimensional transforms," Opt. Eng. 18, 518–523 (1979).

J. R. Leger and S. H. Lee, "Signal processing using hybrid systems," in Applications of the Optical Fourier Transform, H. Stark, ed. (Academic, New York, 1982).

Leger, J. R.

J. R. Leger and S. H. Lee, "Coherent optical implementation of generalized two-dimensional transforms," Opt. Eng. 18, 518–523 (1979).

J. R. Leger and S. H. Lee, "Signal processing using hybrid systems," in Applications of the Optical Fourier Transform, H. Stark, ed. (Academic, New York, 1982).

Sanyal, P.

P. Sanyal and D. H. Foley, "Feature selection by a modified Fukunaga-Koontz transform and its graphical interpretation," presented at the Milwaukee Symposium on Automatic Computation and Control, April 24, 1976.

IEEE Trans. Comput. (1)

K. Fukunaga and W. L. G. Koontz, "Application of the Karhunen-Loève expansion to feature selection and ordering," IEEE Trans. Comput. C-19, 311–318 (1970).

Opt. Eng. (1)

J. R. Leger and S. H. Lee, "Coherent optical implementation of generalized two-dimensional transforms," Opt. Eng. 18, 518–523 (1979).

Other (3)

J. R. Leger and S. H. Lee, "Signal processing using hybrid systems," in Applications of the Optical Fourier Transform, H. Stark, ed. (Academic, New York, 1982).

K. Fukunaga, Introduction to Statistical Pattern Recognition (Academic, New York, 1972).

P. Sanyal and D. H. Foley, "Feature selection by a modified Fukunaga-Koontz transform and its graphical interpretation," presented at the Milwaukee Symposium on Automatic Computation and Control, April 24, 1976.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.