Abstract

A coded image or pseudohologram, obtained optically with a nonredundant pinhole array imaging aperture, was digitized in a 512 × 512 format. Images were reconstructed digitally. The reconstruction scheme, a deconvolution in the Fourier domain, is presented. The applicability of this technique to a real-time imaging system is discussed.

© 1977 Optical Society of America

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References

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  1. H. H. Barrett, J. Nucl. Med. 13, 382 (1972).
    [PubMed]
  2. W. L. Rogers, K. S. Han, L. W. Jones, W. H. Beierwaltes, J. Nucl. Med. 13, 612 (1972).
    [PubMed]
  3. A. Wouters, K. M. Simon, J. G. Hirschberg, Appl. Opt. 12, 1871 (1973).
    [Crossref] [PubMed]
  4. L. T. Chang, S. N. Kaplan, B. Macdonald, V. Perez-Mendez, L. Shiraishi, J. Nucl. Med. 15, 1063 (1974).
    [PubMed]
  5. K. S. Han, G. J. Berzins, Trans. Conf. on Fuel and Clad Motion Diag. in LMFBR STF, Albuquerque, N. Mex. (1975), pp. 257–266.
  6. H. Weiss, E. Klotz, R. Linde, Opt. Laser Technol. 117 (June1975).
  7. L. T. Chang, B. Macdonald, V. Perez-Mendez, IEEE Trans. Nucl. Sci. NS-23, No. 1, 567 (1976).
  8. K. Campbell, An Image Processing Program for CDC 6600 and 7600 Computers (EG&G, Los Alamos Division, November1974).
  9. C. W. Helstrom, J. Opt. Soc. Am. 57, 297 (1967).
    [Crossref]
  10. D. Slepian, J. Opt. Soc. Am. 57, 918 (1967).
    [Crossref]
  11. W. K. Klemperer, “Radar—Present and Future,” IEE Conf. Publication 105 (Institution of Electrical Engineers, London, 1973), pp. 74–80.

1976 (1)

L. T. Chang, B. Macdonald, V. Perez-Mendez, IEEE Trans. Nucl. Sci. NS-23, No. 1, 567 (1976).

1975 (1)

H. Weiss, E. Klotz, R. Linde, Opt. Laser Technol. 117 (June1975).

1974 (1)

L. T. Chang, S. N. Kaplan, B. Macdonald, V. Perez-Mendez, L. Shiraishi, J. Nucl. Med. 15, 1063 (1974).
[PubMed]

1973 (1)

1972 (2)

H. H. Barrett, J. Nucl. Med. 13, 382 (1972).
[PubMed]

W. L. Rogers, K. S. Han, L. W. Jones, W. H. Beierwaltes, J. Nucl. Med. 13, 612 (1972).
[PubMed]

1967 (2)

Barrett, H. H.

H. H. Barrett, J. Nucl. Med. 13, 382 (1972).
[PubMed]

Beierwaltes, W. H.

W. L. Rogers, K. S. Han, L. W. Jones, W. H. Beierwaltes, J. Nucl. Med. 13, 612 (1972).
[PubMed]

Berzins, G. J.

K. S. Han, G. J. Berzins, Trans. Conf. on Fuel and Clad Motion Diag. in LMFBR STF, Albuquerque, N. Mex. (1975), pp. 257–266.

Campbell, K.

K. Campbell, An Image Processing Program for CDC 6600 and 7600 Computers (EG&G, Los Alamos Division, November1974).

Chang, L. T.

L. T. Chang, B. Macdonald, V. Perez-Mendez, IEEE Trans. Nucl. Sci. NS-23, No. 1, 567 (1976).

L. T. Chang, S. N. Kaplan, B. Macdonald, V. Perez-Mendez, L. Shiraishi, J. Nucl. Med. 15, 1063 (1974).
[PubMed]

Han, K. S.

W. L. Rogers, K. S. Han, L. W. Jones, W. H. Beierwaltes, J. Nucl. Med. 13, 612 (1972).
[PubMed]

K. S. Han, G. J. Berzins, Trans. Conf. on Fuel and Clad Motion Diag. in LMFBR STF, Albuquerque, N. Mex. (1975), pp. 257–266.

Helstrom, C. W.

Hirschberg, J. G.

Jones, L. W.

W. L. Rogers, K. S. Han, L. W. Jones, W. H. Beierwaltes, J. Nucl. Med. 13, 612 (1972).
[PubMed]

Kaplan, S. N.

L. T. Chang, S. N. Kaplan, B. Macdonald, V. Perez-Mendez, L. Shiraishi, J. Nucl. Med. 15, 1063 (1974).
[PubMed]

Klemperer, W. K.

W. K. Klemperer, “Radar—Present and Future,” IEE Conf. Publication 105 (Institution of Electrical Engineers, London, 1973), pp. 74–80.

Klotz, E.

H. Weiss, E. Klotz, R. Linde, Opt. Laser Technol. 117 (June1975).

Linde, R.

H. Weiss, E. Klotz, R. Linde, Opt. Laser Technol. 117 (June1975).

Macdonald, B.

L. T. Chang, B. Macdonald, V. Perez-Mendez, IEEE Trans. Nucl. Sci. NS-23, No. 1, 567 (1976).

L. T. Chang, S. N. Kaplan, B. Macdonald, V. Perez-Mendez, L. Shiraishi, J. Nucl. Med. 15, 1063 (1974).
[PubMed]

Perez-Mendez, V.

L. T. Chang, B. Macdonald, V. Perez-Mendez, IEEE Trans. Nucl. Sci. NS-23, No. 1, 567 (1976).

L. T. Chang, S. N. Kaplan, B. Macdonald, V. Perez-Mendez, L. Shiraishi, J. Nucl. Med. 15, 1063 (1974).
[PubMed]

Rogers, W. L.

W. L. Rogers, K. S. Han, L. W. Jones, W. H. Beierwaltes, J. Nucl. Med. 13, 612 (1972).
[PubMed]

Shiraishi, L.

L. T. Chang, S. N. Kaplan, B. Macdonald, V. Perez-Mendez, L. Shiraishi, J. Nucl. Med. 15, 1063 (1974).
[PubMed]

Simon, K. M.

Slepian, D.

Weiss, H.

H. Weiss, E. Klotz, R. Linde, Opt. Laser Technol. 117 (June1975).

Wouters, A.

Appl. Opt. (1)

IEEE Trans. Nucl. Sci. (1)

L. T. Chang, B. Macdonald, V. Perez-Mendez, IEEE Trans. Nucl. Sci. NS-23, No. 1, 567 (1976).

J. Nucl. Med. (3)

L. T. Chang, S. N. Kaplan, B. Macdonald, V. Perez-Mendez, L. Shiraishi, J. Nucl. Med. 15, 1063 (1974).
[PubMed]

H. H. Barrett, J. Nucl. Med. 13, 382 (1972).
[PubMed]

W. L. Rogers, K. S. Han, L. W. Jones, W. H. Beierwaltes, J. Nucl. Med. 13, 612 (1972).
[PubMed]

J. Opt. Soc. Am. (2)

Opt. Laser Technol. (1)

H. Weiss, E. Klotz, R. Linde, Opt. Laser Technol. 117 (June1975).

Other (3)

W. K. Klemperer, “Radar—Present and Future,” IEE Conf. Publication 105 (Institution of Electrical Engineers, London, 1973), pp. 74–80.

K. S. Han, G. J. Berzins, Trans. Conf. on Fuel and Clad Motion Diag. in LMFBR STF, Albuquerque, N. Mex. (1975), pp. 257–266.

K. Campbell, An Image Processing Program for CDC 6600 and 7600 Computers (EG&G, Los Alamos Division, November1974).

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Figures (4)

Fig. 1
Fig. 1

Schematic of an optical arrangement (employing either film or a TV system) for recording a coded image.

Fig. 2
Fig. 2

Flow chart of the digital reconstruction process.

Fig. 3
Fig. 3

(a) Optically recorded coded image; (b) reconstructed image of (a); (c) digitized coded image (a); (d) image digitally reconstructed from (c).

Fig. 4
Fig. 4

Schematic of a real-time coded aperture imaging system that includes an optical data digitizing camera.

Equations (8)

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coded image = object * NRPA = F - 1 [ F ( object ) · F ( NRPA ) ] ,
optical image = F - 1 [ F ( coded image ) / F ( NRPA ) ] .
F - 1 ( NRPA ) = F * ( NRPA ) · SNR 1 + SNR · F ( NRPA ) 2 ,
Circ i ( · ) [ = 0 , if ( x - ξ i ) 2 + ( y - η i ) 2 > r i 2 = 1 , if ( x - ξ i ) 2 + ( y - η i ) 2 r i 2 ] .
NRPA = i = 1 n Circ i ( · ) ,
F ( NRPA ) A p ( u , v )
= i = 1 n r i 2 · { exp [ - 2 π i ( u ξ i + v n i ) ] } · J 1 ( 2 π p r i ) π p r i .
i = 1 n r i 2

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