Abstract

The mapping of complex-valued functions onto phase-only spatial light modulators is examined. Random phase encoding effectively adds amplitude control to the phase-only filter and can be used to trade off systematic errors of the phase-only filter for random errors. This is illustrated for the problem of recognizing a three-dimensional object from arbitrary views. The complex-valued composite filters that constitute a filter bank design are encoded by phase-only and pseudorandom methods. The best recognition probabilities are achieved by blending the two methods so that only the smallest amplitudes are randomly encoded.

© 1996 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. L. G. Hassebrook, B. V. K. Vijaya Kumar, L. HostetlerOpt. Eng. 29, 1033 (1990).
    [CrossRef]
  2. C. F. Hester, D. CasasentAppl. Opt. 19, 1758 (1980).
    [CrossRef] [PubMed]
  3. A. Mahalanobis, B. V. K. Vijaya Kumar, D. CasasentAppl. Opt. 26, 3633 (1987).
    [CrossRef] [PubMed]
  4. L. G. Hassebrook, M. Rahmati, B. V. K. Vijaya KumarOpt. Eng. 31, 923 (1992).
    [CrossRef]
  5. D. Casasent, W. A. RozziAppl. Opt. 25, 3767 (1986).
    [CrossRef] [PubMed]
  6. B. V. K. Vijaya KumarAppl. Opt. 31, 4773 (1992).
    [CrossRef]
  7. J. A. Davis, D. M. CottrellOpt. Lett. 19, 496 (1994).
    [CrossRef] [PubMed]
  8. D. A. Jared, D. J. EnnisAppl. Opt. 28, 232 (1989).
    [CrossRef] [PubMed]
  9. Z. Bahri, B. V. K. Vijaya KumarProc. SPIE 1151, 138 (1989).
  10. R. W. Cohn, M. LiangAppl. Opt. 33, 4406 (1994).
    [CrossRef] [PubMed]
  11. J. L. Horner, P. D. GianinoAppl. Opt. 23, 812 (1984).
    [CrossRef] [PubMed]
  12. R. D. JudayAppl. Opt. 32, 5100 (1993).
    [CrossRef] [PubMed]

1994 (2)

1993 (1)

1992 (2)

B. V. K. Vijaya KumarAppl. Opt. 31, 4773 (1992).
[CrossRef]

L. G. Hassebrook, M. Rahmati, B. V. K. Vijaya KumarOpt. Eng. 31, 923 (1992).
[CrossRef]

1990 (1)

L. G. Hassebrook, B. V. K. Vijaya Kumar, L. HostetlerOpt. Eng. 29, 1033 (1990).
[CrossRef]

1989 (2)

Z. Bahri, B. V. K. Vijaya KumarProc. SPIE 1151, 138 (1989).

D. A. Jared, D. J. EnnisAppl. Opt. 28, 232 (1989).
[CrossRef] [PubMed]

1987 (1)

1986 (1)

1984 (1)

1980 (1)

Bahri, Z.

Z. Bahri, B. V. K. Vijaya KumarProc. SPIE 1151, 138 (1989).

Casasent, D.

Cohn, R. W.

Cottrell, D. M.

Davis, J. A.

Ennis, D. J.

Gianino, P. D.

Hassebrook, L. G.

L. G. Hassebrook, M. Rahmati, B. V. K. Vijaya KumarOpt. Eng. 31, 923 (1992).
[CrossRef]

L. G. Hassebrook, B. V. K. Vijaya Kumar, L. HostetlerOpt. Eng. 29, 1033 (1990).
[CrossRef]

Hester, C. F.

Horner, J. L.

Hostetler, L.

L. G. Hassebrook, B. V. K. Vijaya Kumar, L. HostetlerOpt. Eng. 29, 1033 (1990).
[CrossRef]

Jared, D. A.

Juday, R. D.

Liang, M.

Mahalanobis, A.

Rahmati, M.

L. G. Hassebrook, M. Rahmati, B. V. K. Vijaya KumarOpt. Eng. 31, 923 (1992).
[CrossRef]

Rozzi, W. A.

Vijaya Kumar, B. V. K.

L. G. Hassebrook, M. Rahmati, B. V. K. Vijaya KumarOpt. Eng. 31, 923 (1992).
[CrossRef]

B. V. K. Vijaya KumarAppl. Opt. 31, 4773 (1992).
[CrossRef]

L. G. Hassebrook, B. V. K. Vijaya Kumar, L. HostetlerOpt. Eng. 29, 1033 (1990).
[CrossRef]

Z. Bahri, B. V. K. Vijaya KumarProc. SPIE 1151, 138 (1989).

A. Mahalanobis, B. V. K. Vijaya Kumar, D. CasasentAppl. Opt. 26, 3633 (1987).
[CrossRef] [PubMed]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (2)

Fig. 1
Fig. 1

One of the 36 views of the test imagery: target (Space Shuttle, left) and one of three clutter objects (Phantom, right). The noise was included in the test images only for case a of Table 1.

Fig. 2
Fig. 2

Gray-level magnitudes of one HC filter. The right-hand side of filter has been binarized, indicating in white the pixels that are pseudorandom encoded for γ = 0.004.

Tables (1)

Tables Icon

Table 1 Filter Bank MPE (%) for Bank Size and Type of Test Imagery

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

a ¯ i = exp ( j δ ψ i ) = sinc ( v i / 2 π ) ,
η 1 N i = 1 N a ¯ i 2 ,
η r = 1 N i = 1 N r a ¯ i 2 ,

Metrics