Abstract

We propose an input-image preprocessing method consisting of homogenization of the image to improve the discrimination capability of a correlation-based recognition process. This method is an approximation of the optimal filter. It offers the advantage that correlation with the preprocessed images can easily be implemented in an optical correlator working with phase-only spatial light modulators.

© 1998 Optical Society of America

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References

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  1. A. B. VanderLugt, IEEE Trans. Inf. Theory IT-10, 139 (1964).
  2. J. B. Thomas, An Introduction to Statistical Communication (Wiley, New York, 1969), Chap. 5.
  3. B. V. K. Vijaya Kumar and L. Hassebrook, Appl. Opt. 29, 2997 (1990).
    [CrossRef]
  4. J. Campos, F. Turon, L. P. Yaroslavsky, and M. J. Yzuel, Int. J. Opt. Comput. 2, 341 (1991).
  5. J. L. Horner and P. D. Gianino, Appl. Opt. 23, 812 (1984).
    [CrossRef]
  6. L. P. Yaroslavsky, Appl. Opt. 31, 1677 (1992).
    [CrossRef] [PubMed]
  7. L. P. Yaroslavsky, Digital Picture Processing:?An Introduction (Springer-Verlag, Berlin, 1985), p. 276.
  8. B. Javidi and J. Wang, Appl. Opt. 31, 6826 (1992).
    [CrossRef] [PubMed]
  9. L. Yaroslavsky, in Progress in Optics, E. Wolf, ed. (Elsevier/North-Holland, Amsterdam, 1993), Vol. XXXII, pp. 145–201.
    [CrossRef]
  10. B. Javidi, Ph. Réfrégier, and P. Willet, Opt. Lett. 18, 1660 (1993).
    [CrossRef] [PubMed]
  11. F. Guérault, L. Signac, F. Goudail, and Ph. Réfrégier, Opt. Eng. 36, 2660 (1997).
    [CrossRef]
  12. I. Moreno, J. Campos, C. Goreki, and M. J. Yzuel, Jpn. J. Appl. Phys. 34, 4923 (1995).
    [CrossRef]

1997 (1)

F. Guérault, L. Signac, F. Goudail, and Ph. Réfrégier, Opt. Eng. 36, 2660 (1997).
[CrossRef]

1995 (1)

I. Moreno, J. Campos, C. Goreki, and M. J. Yzuel, Jpn. J. Appl. Phys. 34, 4923 (1995).
[CrossRef]

1993 (1)

1992 (2)

1991 (1)

J. Campos, F. Turon, L. P. Yaroslavsky, and M. J. Yzuel, Int. J. Opt. Comput. 2, 341 (1991).

1990 (1)

1984 (1)

1964 (1)

A. B. VanderLugt, IEEE Trans. Inf. Theory IT-10, 139 (1964).

Campos, J.

I. Moreno, J. Campos, C. Goreki, and M. J. Yzuel, Jpn. J. Appl. Phys. 34, 4923 (1995).
[CrossRef]

J. Campos, F. Turon, L. P. Yaroslavsky, and M. J. Yzuel, Int. J. Opt. Comput. 2, 341 (1991).

Gianino, P. D.

Goreki, C.

I. Moreno, J. Campos, C. Goreki, and M. J. Yzuel, Jpn. J. Appl. Phys. 34, 4923 (1995).
[CrossRef]

Goudail, F.

F. Guérault, L. Signac, F. Goudail, and Ph. Réfrégier, Opt. Eng. 36, 2660 (1997).
[CrossRef]

Guérault, F.

F. Guérault, L. Signac, F. Goudail, and Ph. Réfrégier, Opt. Eng. 36, 2660 (1997).
[CrossRef]

Hassebrook, L.

Horner, J. L.

Javidi, B.

Moreno, I.

I. Moreno, J. Campos, C. Goreki, and M. J. Yzuel, Jpn. J. Appl. Phys. 34, 4923 (1995).
[CrossRef]

Réfrégier, Ph.

F. Guérault, L. Signac, F. Goudail, and Ph. Réfrégier, Opt. Eng. 36, 2660 (1997).
[CrossRef]

B. Javidi, Ph. Réfrégier, and P. Willet, Opt. Lett. 18, 1660 (1993).
[CrossRef] [PubMed]

Signac, L.

F. Guérault, L. Signac, F. Goudail, and Ph. Réfrégier, Opt. Eng. 36, 2660 (1997).
[CrossRef]

Thomas, J. B.

J. B. Thomas, An Introduction to Statistical Communication (Wiley, New York, 1969), Chap. 5.

Turon, F.

J. Campos, F. Turon, L. P. Yaroslavsky, and M. J. Yzuel, Int. J. Opt. Comput. 2, 341 (1991).

VanderLugt, A. B.

A. B. VanderLugt, IEEE Trans. Inf. Theory IT-10, 139 (1964).

Vijaya Kumar, B. V. K.

Wang, J.

Willet, P.

Yaroslavsky, L.

L. Yaroslavsky, in Progress in Optics, E. Wolf, ed. (Elsevier/North-Holland, Amsterdam, 1993), Vol. XXXII, pp. 145–201.
[CrossRef]

Yaroslavsky, L. P.

L. P. Yaroslavsky, Appl. Opt. 31, 1677 (1992).
[CrossRef] [PubMed]

J. Campos, F. Turon, L. P. Yaroslavsky, and M. J. Yzuel, Int. J. Opt. Comput. 2, 341 (1991).

L. P. Yaroslavsky, Digital Picture Processing:?An Introduction (Springer-Verlag, Berlin, 1985), p. 276.

Yzuel, M. J.

I. Moreno, J. Campos, C. Goreki, and M. J. Yzuel, Jpn. J. Appl. Phys. 34, 4923 (1995).
[CrossRef]

J. Campos, F. Turon, L. P. Yaroslavsky, and M. J. Yzuel, Int. J. Opt. Comput. 2, 341 (1991).

Appl. Opt. (4)

IEEE Trans. Inf. Theory (1)

A. B. VanderLugt, IEEE Trans. Inf. Theory IT-10, 139 (1964).

Int. J. Opt. Comput. (1)

J. Campos, F. Turon, L. P. Yaroslavsky, and M. J. Yzuel, Int. J. Opt. Comput. 2, 341 (1991).

Jpn. J. Appl. Phys. (1)

I. Moreno, J. Campos, C. Goreki, and M. J. Yzuel, Jpn. J. Appl. Phys. 34, 4923 (1995).
[CrossRef]

Opt. Eng. (1)

F. Guérault, L. Signac, F. Goudail, and Ph. Réfrégier, Opt. Eng. 36, 2660 (1997).
[CrossRef]

Opt. Lett. (1)

Other (3)

L. P. Yaroslavsky, Digital Picture Processing:?An Introduction (Springer-Verlag, Berlin, 1985), p. 276.

L. Yaroslavsky, in Progress in Optics, E. Wolf, ed. (Elsevier/North-Holland, Amsterdam, 1993), Vol. XXXII, pp. 145–201.
[CrossRef]

J. B. Thomas, An Introduction to Statistical Communication (Wiley, New York, 1969), Chap. 5.

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Figures (5)

Fig. 1
Fig. 1

Real-time optical correlator. SLM1 implements the input scene and SLM2 implements the matched filter. P1, P2, polarizers; HWP1, HWP2, half-wave plates; L1, L2, convergent lenses.

Fig. 2
Fig. 2

(a) Original and (b) preprocessed scenes for the pattern-recognition experiments.

Fig. 3
Fig. 3

Two different sizes of preprocessed target extracted from Fig.  2(b): (a) target diameter, 74 pixels; (b) target diameter, 36 pixels.

Fig. 4
Fig. 4

Correlation peaks resulting from experimental optical correlation between (a) the original scene and the original target and (b) the preprocessed scene and the preprocessed target. Both preprocessed and original targets have a diameter of 74 pixels.

Fig. 5
Fig. 5

Correlation peaks resulting from experimental optical correlation between preprocessed scenes and preprocessed targets of different sizes: (a) target diameter, 49 pixels; (b) target diameter, 36 pixels.

Equations (6)

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Hx0,y0;fx,fy=α*fx,fyAVβx0,y0;fx,fy2,
H˜x0,y0;fx,fy=α*fx,fyVarx0,y0,
Varx0,y0=fx,fyβx0,y0;fx,fy2dfxdfy
H˜x0,y0;fx,fy=Hmf˜x0,y0;fx,fyHpp˜x0,y0;fx,fy=α*fx,fyVarx0,y01/21Varx0,y01/2.
Hpp˜x0,y0;fx,fy=1Varx0,y01/2,
Hmf˜x0,y0;fx,fy=α*fx,fyVarx0,y01/2,

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