Abstract

We investigate the performance of the binary joint transform correlator (JTC) for three types of thresholding used to binarize the joint power spectrum. The first thresholding method uses the median of the joint power spectrum of the reference image, which is independent of the effect of input scene noise. The second thresholding method uses the median of the joint power spectrum of the input scene and the reference image. The third method is the subset median thresholding. The subset median is computed for each segment of the joint power spectrum and is used to threshold the same segment. The threshold computed by the second or third method is dependent on the effect of the input scene noise. The correlation performance of the binary JTC is determined for each thresholding method and is compared with the linear (conventional) JTC. Computer simulation is used to determine the correlation peak intensity, peak-to-sidelobe ratio, and correlation width for various thresholding techniques. The results indicate that the thresholding of the joint power spectrum using the methods that take into account the input scene noise produces a reasonably good correlation performance.

© 1991 Optical Society of America

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  1. B. Javidi, “Nonlinear Joint Power Spectrum Based Optical Correlation,” Appl. Opt. 28, 2358–2367 (1989).
    [CrossRef] [PubMed]
  2. B. Javidi, J. L. Horner, “Single Spatial Light Modulator Joint Transform Correlator,” Appl. Opt. 28, 1027–1032 (1989).
    [CrossRef] [PubMed]
  3. B. Javidi, “Comparison of Bipolar Joint Transform Image Correlators and Phase-Only Matched Filter Correlators,” Opt. Eng. 28, 267–272 (1989).
    [CrossRef]
  4. B. Javidi, “Synthetic Discriminant Function-Based Binary Nonlinear Correlation,” Appl Opt. 28, 2490 (1989).
    [CrossRef] [PubMed]
  5. C. S. Weaver, J. W. Goodman, “A Technique for Optically Convolving Two Functions,” Appl. Opt. 5, 1248(L), (1966).
    [CrossRef]
  6. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1967).
  7. K. H. Fielding, J. L. Horner, “1-f Binary Joint Transform Correlator,” Opt. Eng. 29, 1081–1087 (1990).
    [CrossRef]
  8. W. B. Hahn, D. L. Flannery, “Basic Design Elements of the Binary Joint Transform Correlation and Selected Optimization Techniques,” Proc. Soc. Photo-Opt. Instrum. Eng. 1347, (July1990).
  9. J. C. Kirsch, D. A. Gregory, “Video Rate Optical Correlation using a Magnetooptic SLM,” Opt. Eng. 29, 1122–1128 (1990).
    [CrossRef]
  10. S. K. Rogers, J. D. Kline, M. Kabrisky, J. P. Mills, “New Binarization Techniques for Joint Transform Correlator,” Opt. Eng. 29, 1088–1093 (1990).
    [CrossRef]
  11. A. V. Aho et al., The Design and Analysis of Computer Algorithms (Addision-Wesley, Reading, MA, 1974).

1990

K. H. Fielding, J. L. Horner, “1-f Binary Joint Transform Correlator,” Opt. Eng. 29, 1081–1087 (1990).
[CrossRef]

W. B. Hahn, D. L. Flannery, “Basic Design Elements of the Binary Joint Transform Correlation and Selected Optimization Techniques,” Proc. Soc. Photo-Opt. Instrum. Eng. 1347, (July1990).

J. C. Kirsch, D. A. Gregory, “Video Rate Optical Correlation using a Magnetooptic SLM,” Opt. Eng. 29, 1122–1128 (1990).
[CrossRef]

S. K. Rogers, J. D. Kline, M. Kabrisky, J. P. Mills, “New Binarization Techniques for Joint Transform Correlator,” Opt. Eng. 29, 1088–1093 (1990).
[CrossRef]

1989

B. Javidi, J. L. Horner, “Single Spatial Light Modulator Joint Transform Correlator,” Appl. Opt. 28, 1027–1032 (1989).
[CrossRef] [PubMed]

B. Javidi, “Nonlinear Joint Power Spectrum Based Optical Correlation,” Appl. Opt. 28, 2358–2367 (1989).
[CrossRef] [PubMed]

B. Javidi, “Comparison of Bipolar Joint Transform Image Correlators and Phase-Only Matched Filter Correlators,” Opt. Eng. 28, 267–272 (1989).
[CrossRef]

B. Javidi, “Synthetic Discriminant Function-Based Binary Nonlinear Correlation,” Appl Opt. 28, 2490 (1989).
[CrossRef] [PubMed]

1966

C. S. Weaver, J. W. Goodman, “A Technique for Optically Convolving Two Functions,” Appl. Opt. 5, 1248(L), (1966).
[CrossRef]

Aho, A. V.

A. V. Aho et al., The Design and Analysis of Computer Algorithms (Addision-Wesley, Reading, MA, 1974).

Fielding, K. H.

K. H. Fielding, J. L. Horner, “1-f Binary Joint Transform Correlator,” Opt. Eng. 29, 1081–1087 (1990).
[CrossRef]

Flannery, D. L.

W. B. Hahn, D. L. Flannery, “Basic Design Elements of the Binary Joint Transform Correlation and Selected Optimization Techniques,” Proc. Soc. Photo-Opt. Instrum. Eng. 1347, (July1990).

Goodman, J. W.

C. S. Weaver, J. W. Goodman, “A Technique for Optically Convolving Two Functions,” Appl. Opt. 5, 1248(L), (1966).
[CrossRef]

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1967).

Gregory, D. A.

J. C. Kirsch, D. A. Gregory, “Video Rate Optical Correlation using a Magnetooptic SLM,” Opt. Eng. 29, 1122–1128 (1990).
[CrossRef]

Hahn, W. B.

W. B. Hahn, D. L. Flannery, “Basic Design Elements of the Binary Joint Transform Correlation and Selected Optimization Techniques,” Proc. Soc. Photo-Opt. Instrum. Eng. 1347, (July1990).

Horner, J. L.

K. H. Fielding, J. L. Horner, “1-f Binary Joint Transform Correlator,” Opt. Eng. 29, 1081–1087 (1990).
[CrossRef]

B. Javidi, J. L. Horner, “Single Spatial Light Modulator Joint Transform Correlator,” Appl. Opt. 28, 1027–1032 (1989).
[CrossRef] [PubMed]

Javidi, B.

B. Javidi, “Nonlinear Joint Power Spectrum Based Optical Correlation,” Appl. Opt. 28, 2358–2367 (1989).
[CrossRef] [PubMed]

B. Javidi, J. L. Horner, “Single Spatial Light Modulator Joint Transform Correlator,” Appl. Opt. 28, 1027–1032 (1989).
[CrossRef] [PubMed]

B. Javidi, “Synthetic Discriminant Function-Based Binary Nonlinear Correlation,” Appl Opt. 28, 2490 (1989).
[CrossRef] [PubMed]

B. Javidi, “Comparison of Bipolar Joint Transform Image Correlators and Phase-Only Matched Filter Correlators,” Opt. Eng. 28, 267–272 (1989).
[CrossRef]

Kabrisky, M.

S. K. Rogers, J. D. Kline, M. Kabrisky, J. P. Mills, “New Binarization Techniques for Joint Transform Correlator,” Opt. Eng. 29, 1088–1093 (1990).
[CrossRef]

Kirsch, J. C.

J. C. Kirsch, D. A. Gregory, “Video Rate Optical Correlation using a Magnetooptic SLM,” Opt. Eng. 29, 1122–1128 (1990).
[CrossRef]

Kline, J. D.

S. K. Rogers, J. D. Kline, M. Kabrisky, J. P. Mills, “New Binarization Techniques for Joint Transform Correlator,” Opt. Eng. 29, 1088–1093 (1990).
[CrossRef]

Mills, J. P.

S. K. Rogers, J. D. Kline, M. Kabrisky, J. P. Mills, “New Binarization Techniques for Joint Transform Correlator,” Opt. Eng. 29, 1088–1093 (1990).
[CrossRef]

Rogers, S. K.

S. K. Rogers, J. D. Kline, M. Kabrisky, J. P. Mills, “New Binarization Techniques for Joint Transform Correlator,” Opt. Eng. 29, 1088–1093 (1990).
[CrossRef]

Weaver, C. S.

C. S. Weaver, J. W. Goodman, “A Technique for Optically Convolving Two Functions,” Appl. Opt. 5, 1248(L), (1966).
[CrossRef]

Appl Opt.

B. Javidi, “Synthetic Discriminant Function-Based Binary Nonlinear Correlation,” Appl Opt. 28, 2490 (1989).
[CrossRef] [PubMed]

Appl. Opt.

Opt. Eng.

J. C. Kirsch, D. A. Gregory, “Video Rate Optical Correlation using a Magnetooptic SLM,” Opt. Eng. 29, 1122–1128 (1990).
[CrossRef]

S. K. Rogers, J. D. Kline, M. Kabrisky, J. P. Mills, “New Binarization Techniques for Joint Transform Correlator,” Opt. Eng. 29, 1088–1093 (1990).
[CrossRef]

K. H. Fielding, J. L. Horner, “1-f Binary Joint Transform Correlator,” Opt. Eng. 29, 1081–1087 (1990).
[CrossRef]

B. Javidi, “Comparison of Bipolar Joint Transform Image Correlators and Phase-Only Matched Filter Correlators,” Opt. Eng. 28, 267–272 (1989).
[CrossRef]

Proc. Soc. Photo-Opt. Instrum. Eng.

W. B. Hahn, D. L. Flannery, “Basic Design Elements of the Binary Joint Transform Correlation and Selected Optimization Techniques,” Proc. Soc. Photo-Opt. Instrum. Eng. 1347, (July1990).

Other

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1967).

A. V. Aho et al., The Design and Analysis of Computer Algorithms (Addision-Wesley, Reading, MA, 1974).

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