Abstract

Electro-optical implementation of a three-dimensional (3-D) spatial correlation is proposed. A 3-D scene of objects, seen from the paraxial zone, is correlated with a reference object. As an example of application, we describe a 3-D joint transform correlator that is capable of recognizing targets in the 3-D space.

© 1998 Optical Society of America

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References

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  1. B. R. Brown, A. W. Lohmann, “Complex spatial filtering with binary masks,” Appl. Opt. 5, 967 (1966).
    [CrossRef] [PubMed]
  2. J. W. Goodman, Introduction to Fourier Optics, 1st ed. (McGraw-Hill, New York, 1968), Chap. 7, p. 171.
  3. E. C. Tam, F. T. S. Yu, D. A. Gregory, R. D. Juday, “Au-tonomous real-time object tracking with an adaptive joint transform correlator,” Opt. Eng. 29, 314–320 (1990).
    [CrossRef]
  4. J. Rosen, A. Yariv, “Three-dimensional imaging of random radiation sources,” Opt. Lett. 21, 1011–1013 (1996); J. Rosen, A. Yariv, “Reconstruction of longitudinal distributed incoherent sources,” Opt. Lett. 21, 1803–1805 (1996).
    [CrossRef] [PubMed]
  5. A. Papoulis, System and Transforms with Applications in Optics, 1st ed. (McGraw-Hill, New York, 1968), Chap. 3, p. 61.
  6. M. Born, E. Wolf, Principles of Optics, 5th ed. (Pergamon, Oxford, 1975), Chap. 4, p. 133.
  7. C. S. Weaver, J. W. Goodman, “A technique for optically convolving two functions,” Appl. Opt. 5, 1248–1249 (1966).
    [CrossRef] [PubMed]
  8. J. Rosen, “Three-dimensional optical Fourier transform and correlation,” Opt. Lett. 22, 964–966 (1997).
    [CrossRef] [PubMed]

1997 (1)

1996 (1)

1990 (1)

E. C. Tam, F. T. S. Yu, D. A. Gregory, R. D. Juday, “Au-tonomous real-time object tracking with an adaptive joint transform correlator,” Opt. Eng. 29, 314–320 (1990).
[CrossRef]

1966 (2)

Born, M.

M. Born, E. Wolf, Principles of Optics, 5th ed. (Pergamon, Oxford, 1975), Chap. 4, p. 133.

Brown, B. R.

Goodman, J. W.

C. S. Weaver, J. W. Goodman, “A technique for optically convolving two functions,” Appl. Opt. 5, 1248–1249 (1966).
[CrossRef] [PubMed]

J. W. Goodman, Introduction to Fourier Optics, 1st ed. (McGraw-Hill, New York, 1968), Chap. 7, p. 171.

Gregory, D. A.

E. C. Tam, F. T. S. Yu, D. A. Gregory, R. D. Juday, “Au-tonomous real-time object tracking with an adaptive joint transform correlator,” Opt. Eng. 29, 314–320 (1990).
[CrossRef]

Juday, R. D.

E. C. Tam, F. T. S. Yu, D. A. Gregory, R. D. Juday, “Au-tonomous real-time object tracking with an adaptive joint transform correlator,” Opt. Eng. 29, 314–320 (1990).
[CrossRef]

Lohmann, A. W.

Papoulis, A.

A. Papoulis, System and Transforms with Applications in Optics, 1st ed. (McGraw-Hill, New York, 1968), Chap. 3, p. 61.

Rosen, J.

Tam, E. C.

E. C. Tam, F. T. S. Yu, D. A. Gregory, R. D. Juday, “Au-tonomous real-time object tracking with an adaptive joint transform correlator,” Opt. Eng. 29, 314–320 (1990).
[CrossRef]

Weaver, C. S.

Wolf, E.

M. Born, E. Wolf, Principles of Optics, 5th ed. (Pergamon, Oxford, 1975), Chap. 4, p. 133.

Yariv, A.

Yu, F. T. S.

E. C. Tam, F. T. S. Yu, D. A. Gregory, R. D. Juday, “Au-tonomous real-time object tracking with an adaptive joint transform correlator,” Opt. Eng. 29, 314–320 (1990).
[CrossRef]

Appl. Opt. (2)

Opt. Eng. (1)

E. C. Tam, F. T. S. Yu, D. A. Gregory, R. D. Juday, “Au-tonomous real-time object tracking with an adaptive joint transform correlator,” Opt. Eng. 29, 314–320 (1990).
[CrossRef]

Opt. Lett. (2)

Other (3)

A. Papoulis, System and Transforms with Applications in Optics, 1st ed. (McGraw-Hill, New York, 1968), Chap. 3, p. 61.

M. Born, E. Wolf, Principles of Optics, 5th ed. (Pergamon, Oxford, 1975), Chap. 4, p. 133.

J. W. Goodman, Introduction to Fourier Optics, 1st ed. (McGraw-Hill, New York, 1968), Chap. 7, p. 171.

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