Abstract

Conventionally a detected image is represented by an intensity array owing to the square-law nature of most detectors. However, this does not mean that we have to restrict ourselves to using intensity images for the correlation process. Transforming intensity images into phase images before correlation, which can be easily realized by a phase-modulation spatial light modulator, offers an alternative approach for high-performance pattern recognition. A phase-transformed input joint transform correlator is investigated in detail in terms of pattern discriminability, detection efficiency, and noise robustness. We show that the phase-transformed joint transform correlator has higher pattern discriminability and detection efficiency than the conventional joint transform correlator, and it also offers a better trade-off between the pattern discriminability and noise tolerance. A proof-of-concept experiment is also provided.

© 1996 Optical Society of America

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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]

1995 (2)

1994 (2)

R. R. Kallman, D. H. Goldstein, “Phase-encoding input image for optical pattern recognition,” Opt. Eng. 33, 1806–1812 (1994).
[CrossRef]

Z. Zhang, G. Lu, F. T. S. Yu, “A simple method for measuring phase modulation in LCTV's,” Opt. Eng. 33, 3018–3022 (1994).
[CrossRef]

1992 (1)

1989 (2)

1984 (1)

F. T. S. Yu, X. J. Lu, “A real-time programmable joint transform correlator,” Opt. Commun. 52, 10–16 (1984).
[CrossRef]

1966 (1)

1964 (1)

A. VanderLugt, “Signal detection by complex spatial filtering,” IEEE Trans. Inf. Theory IT-10, 139–145 (1964).
[CrossRef]

Barnes, T. H.

Eiju, T.

Flannery, D. L.

Giles, M. K.

Goldstein, D. H.

R. R. Kallman, D. H. Goldstein, “Phase-encoding input image for optical pattern recognition,” Opt. Eng. 33, 1806–1812 (1994).
[CrossRef]

Goodman, J. W.

Gregory, D. A.

A. Tanone, C. M. Uang, F. T. S. Yu, E. C. Tam, D. A. Gregory, “Effects of the thresholding in joint-transform correlation,” Appl. Opt. 31, 4816–4822 (1992).
[CrossRef] [PubMed]

R. Juday, S. E. Monroe, D. A. Gregory, “Optical correlation with phase-encoding and phase filtering,” in Spatial Light Modulators and Applications II, U. Efron, ed., Proc. Soc. Photo-Opt. Instrum. Eng.825, 149–156 (1987).

Hester, C.

C. Hester, M. Temmen, “Phase phase implementation of optical correlator,” in Hybrid Image and Signal Processing II, D. P. Casasent, A. G. Tescher, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1297, 207–219 (1991).

Hornbeck, L. J.

L. J. Hornbeck, “Deformable-mirror spatial light modulators,” in Spatial Light Modulators and Applications III, U. Efron, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1150, 86–102 (1989).

Juday, R.

R. Juday, S. E. Monroe, D. A. Gregory, “Optical correlation with phase-encoding and phase filtering,” in Spatial Light Modulators and Applications II, U. Efron, ed., Proc. Soc. Photo-Opt. Instrum. Eng.825, 149–156 (1987).

Kallman, R. R.

R. R. Kallman, D. H. Goldstein, “Phase-encoding input image for optical pattern recognition,” Opt. Eng. 33, 1806–1812 (1994).
[CrossRef]

Kest, B. A.

Lindell, S. D.

Lu, G.

Lu, M.

Lu, X. J.

F. T. S. Yu, X. J. Lu, “A real-time programmable joint transform correlator,” Opt. Commun. 52, 10–16 (1984).
[CrossRef]

Matsuda, K.

Monroe, S. E.

R. Juday, S. E. Monroe, D. A. Gregory, “Optical correlation with phase-encoding and phase filtering,” in Spatial Light Modulators and Applications II, U. Efron, ed., Proc. Soc. Photo-Opt. Instrum. Eng.825, 149–156 (1987).

Ooyama, N.

Tam, E. C.

Tanone, A.

Temmen, M.

C. Hester, M. Temmen, “Phase phase implementation of optical correlator,” in Hybrid Image and Signal Processing II, D. P. Casasent, A. G. Tescher, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1297, 207–219 (1991).

Uang, C. M.

VanderLugt, A.

A. VanderLugt, “Signal detection by complex spatial filtering,” IEEE Trans. Inf. Theory IT-10, 139–145 (1964).
[CrossRef]

Weaver, C. S.

Yu, F. T. S.

Zhang, Z.

G. Lu, Z. Zhang, F. T. S. Yu, “Phase-encoded input joint transform correlator with improved pattern discriminability,” Opt. Lett. 20, 1307–1309 (1995).
[CrossRef] [PubMed]

Z. Zhang, G. Lu, F. T. S. Yu, “A simple method for measuring phase modulation in LCTV's,” Opt. Eng. 33, 3018–3022 (1994).
[CrossRef]

Zhao, D.

Appl. Opt. (5)

IEEE Trans. Inf. Theory (1)

A. VanderLugt, “Signal detection by complex spatial filtering,” IEEE Trans. Inf. Theory IT-10, 139–145 (1964).
[CrossRef]

Opt. Commun. (1)

F. T. S. Yu, X. J. Lu, “A real-time programmable joint transform correlator,” Opt. Commun. 52, 10–16 (1984).
[CrossRef]

Opt. Eng. (2)

R. R. Kallman, D. H. Goldstein, “Phase-encoding input image for optical pattern recognition,” Opt. Eng. 33, 1806–1812 (1994).
[CrossRef]

Z. Zhang, G. Lu, F. T. S. Yu, “A simple method for measuring phase modulation in LCTV's,” Opt. Eng. 33, 3018–3022 (1994).
[CrossRef]

Opt. Lett. (1)

Other (3)

L. J. Hornbeck, “Deformable-mirror spatial light modulators,” in Spatial Light Modulators and Applications III, U. Efron, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1150, 86–102 (1989).

R. Juday, S. E. Monroe, D. A. Gregory, “Optical correlation with phase-encoding and phase filtering,” in Spatial Light Modulators and Applications II, U. Efron, ed., Proc. Soc. Photo-Opt. Instrum. Eng.825, 149–156 (1987).

C. Hester, M. Temmen, “Phase phase implementation of optical correlator,” in Hybrid Image and Signal Processing II, D. P. Casasent, A. G. Tescher, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1297, 207–219 (1991).

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