Abstract

We introduce a new phase-restricted algorithm for producing a heterogeneous correlation filter that permits new in-class members to be added without changing the phase of the filter. This heterogeneous correlation filter uses amplitude modulation both to enhance in-class cross correlations and to suppress selected out-of-class correlations. This new algorithm should substantially improve the performance of existing class-associative correlators and improve their operation.

© 2000 Optical Society of America

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References

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  1. J. W. Goodman, Introduction to Fourier Optics, McGraw-Hill Physical and Quantum Electronics Series (McGraw-Hill, New York, 1968), Chap. 7, p. 171.
  2. J. L. Horner and P. D. Gianino, Appl. Opt. 23, 812 (1984).
    [CrossRef]
  3. J. L. Horner and J. R. Leger, Appl. Opt. 24, 609 (1985).
    [CrossRef] [PubMed]
  4. M. S. Alam and M. A. Karim, Opt. Eng. 33, 1610 (1994).
    [CrossRef]
  5. F. Cheng, P. Andres, F. T. S. Yu, and D. Gregory, Appl. Opt. 32, 4357 (1993).
    [CrossRef] [PubMed]
  6. H. J. Caulfield and W. T. Maloney, Appl. Opt. 8, 2354 (1969).
    [CrossRef] [PubMed]
  7. J. Khoury, P. D. Gianino, and C. L. Woods, Opt. Eng. 37, 112 (1998).
    [CrossRef]
  8. J. Zhoury, P. D. Gianino, J. S. Kane, and C. L. Woods, Opt. Eng. 37, 123 (1998).
    [CrossRef]
  9. H. J. Caulfield and R. Haimes, Appl. Opt. 19, 181 (1980).
    [CrossRef] [PubMed]
  10. J. R. Leger and S. H. Lee, J. Opt. Soc. Am. 72, 556 (1982).
    [CrossRef]
  11. L. P. Yaroslavsky, Appl. Opt. 31, 1677 (1992).
    [CrossRef] [PubMed]
  12. T. Ross, J. Bradley, L. Hudson, and M. O’Conner, Proc. SPIE 3721, 662 (1999).
    [CrossRef]

1999 (1)

T. Ross, J. Bradley, L. Hudson, and M. O’Conner, Proc. SPIE 3721, 662 (1999).
[CrossRef]

1998 (2)

J. Khoury, P. D. Gianino, and C. L. Woods, Opt. Eng. 37, 112 (1998).
[CrossRef]

J. Zhoury, P. D. Gianino, J. S. Kane, and C. L. Woods, Opt. Eng. 37, 123 (1998).
[CrossRef]

1994 (1)

M. S. Alam and M. A. Karim, Opt. Eng. 33, 1610 (1994).
[CrossRef]

1993 (1)

1992 (1)

1985 (1)

1984 (1)

1982 (1)

1980 (1)

1969 (1)

Alam, M. S.

M. S. Alam and M. A. Karim, Opt. Eng. 33, 1610 (1994).
[CrossRef]

Andres, P.

Bradley, J.

T. Ross, J. Bradley, L. Hudson, and M. O’Conner, Proc. SPIE 3721, 662 (1999).
[CrossRef]

Caulfield, H. J.

Cheng, F.

Gianino, P. D.

J. Khoury, P. D. Gianino, and C. L. Woods, Opt. Eng. 37, 112 (1998).
[CrossRef]

J. Zhoury, P. D. Gianino, J. S. Kane, and C. L. Woods, Opt. Eng. 37, 123 (1998).
[CrossRef]

J. L. Horner and P. D. Gianino, Appl. Opt. 23, 812 (1984).
[CrossRef]

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics, McGraw-Hill Physical and Quantum Electronics Series (McGraw-Hill, New York, 1968), Chap. 7, p. 171.

Gregory, D.

Haimes, R.

Horner, J. L.

Hudson, L.

T. Ross, J. Bradley, L. Hudson, and M. O’Conner, Proc. SPIE 3721, 662 (1999).
[CrossRef]

Kane, J. S.

J. Zhoury, P. D. Gianino, J. S. Kane, and C. L. Woods, Opt. Eng. 37, 123 (1998).
[CrossRef]

Karim, M. A.

M. S. Alam and M. A. Karim, Opt. Eng. 33, 1610 (1994).
[CrossRef]

Khoury, J.

J. Khoury, P. D. Gianino, and C. L. Woods, Opt. Eng. 37, 112 (1998).
[CrossRef]

Lee, S. H.

Leger, J. R.

Maloney, W. T.

O’Conner, M.

T. Ross, J. Bradley, L. Hudson, and M. O’Conner, Proc. SPIE 3721, 662 (1999).
[CrossRef]

Ross, T.

T. Ross, J. Bradley, L. Hudson, and M. O’Conner, Proc. SPIE 3721, 662 (1999).
[CrossRef]

Woods, C. L.

J. Zhoury, P. D. Gianino, J. S. Kane, and C. L. Woods, Opt. Eng. 37, 123 (1998).
[CrossRef]

J. Khoury, P. D. Gianino, and C. L. Woods, Opt. Eng. 37, 112 (1998).
[CrossRef]

Yaroslavsky, L. P.

Yu, F. T. S.

Zhoury, J.

J. Zhoury, P. D. Gianino, J. S. Kane, and C. L. Woods, Opt. Eng. 37, 123 (1998).
[CrossRef]

Appl. Opt. (6)

J. Opt. Soc. Am. (1)

Opt. Eng. (3)

M. S. Alam and M. A. Karim, Opt. Eng. 33, 1610 (1994).
[CrossRef]

J. Khoury, P. D. Gianino, and C. L. Woods, Opt. Eng. 37, 112 (1998).
[CrossRef]

J. Zhoury, P. D. Gianino, J. S. Kane, and C. L. Woods, Opt. Eng. 37, 123 (1998).
[CrossRef]

Proc. SPIE (1)

T. Ross, J. Bradley, L. Hudson, and M. O’Conner, Proc. SPIE 3721, 662 (1999).
[CrossRef]

Other (1)

J. W. Goodman, Introduction to Fourier Optics, McGraw-Hill Physical and Quantum Electronics Series (McGraw-Hill, New York, 1968), Chap. 7, p. 171.

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Figures (3)

Fig. 1
Fig. 1

Set of geometrical objects used in our computer simulations for cross-correlation enhancement. The input objects are a 64-pixel square, an octagon, a circle, and a triangle. The square was also used to fabricate the filter.

Fig. 2
Fig. 2

Gray-scale impulse response of the heteroassociative correlation filter used in the simulations. The image is compressed; i.e., we raise the intensity of the image to the power of 0.1 to enhance the very low intensities relative to the higher intensities.

Fig. 3
Fig. 3

Intensity correlation patterns from the simulations. The filter used was the HAF, and the inputs were the circle, the square, the triangle, and the octagon.

Tables (1)

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Table 1 Normalized Peak Intensities (IN) and Discrimination Ratios (DR’s) for Correlations between the Given Filter and the Given Input Objecta

Equations (2)

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fi=gi+fi-gi,
Gi*Xi*=Gi*jinFj2+Fi-Gi2,

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