Abstract

We present a simple reconstruction algorithm for three-dimensional (3D) incoherent source distributions imaged by a laterally scanned pinhole camera. We consider digital sampling of multiple pinhole images for 3D reconstruction and implement an experimental demonstration with lateral resolution of 2×10-3 rad and longitudinal resolution of approximately 0.14z2 m, where z is the object-to-pinhole distance in meters.

© 1998 Optical Society of America

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References

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1993 (1)

1990 (1)

Y. W. Chen, N. Miyanaga, and N. Yamanaka, J. Appl. Phys. 68, 1483 (1990).
[CrossRef]

1985 (1)

J. W. V. Gissen, M. A. Viergever, and C. N. D. Graaf, IEEE Trans. Med. Imag. MI-4, 91 (1985).
[CrossRef]

1984 (1)

1979 (2)

1976 (1)

L. T. Chang, B. Macdonald, and V. Perez-Mendez, IEEE Trans. Nucl. Sci. NS-23, 568 (1976).
[CrossRef]

1967 (1)

Ardent, J. W.

Barrett, H. H.

Blelfeld, M. J.

Chang, L. T.

L. T. Chang, B. Macdonald, and V. Perez-Mendez, IEEE Trans. Nucl. Sci. NS-23, 568 (1976).
[CrossRef]

Chen, Y. W.

Y. W. Chen, N. Miyanaga, and N. Yamanaka, J. Appl. Phys. 68, 1483 (1990).
[CrossRef]

Chiu, M. Y.

Chou, C.

Gindi, G. R.

Gissen, J. W. V.

J. W. V. Gissen, M. A. Viergever, and C. N. D. Graaf, IEEE Trans. Med. Imag. MI-4, 91 (1985).
[CrossRef]

Graaf, C. N. D.

J. W. V. Gissen, M. A. Viergever, and C. N. D. Graaf, IEEE Trans. Med. Imag. MI-4, 91 (1985).
[CrossRef]

Knab, J. J.

J. J. Knab, IEEE Trans. Inf. Theory IT-25, 717 (1979).
[CrossRef]

Macdonald, B.

L. T. Chang, B. Macdonald, and V. Perez-Mendez, IEEE Trans. Nucl. Sci. NS-23, 568 (1976).
[CrossRef]

Miyanaga, N.

Y. W. Chen, N. Miyanaga, and N. Yamanaka, J. Appl. Phys. 68, 1483 (1990).
[CrossRef]

Perez-Mendez, V.

L. T. Chang, B. Macdonald, and V. Perez-Mendez, IEEE Trans. Nucl. Sci. NS-23, 568 (1976).
[CrossRef]

Sayanagi, K.

Seltzer, S. M.

Simpson, R. G.

Trombka, J. I.

Viergever, M. A.

J. W. V. Gissen, M. A. Viergever, and C. N. D. Graaf, IEEE Trans. Med. Imag. MI-4, 91 (1985).
[CrossRef]

Yamanaka, N.

Y. W. Chen, N. Miyanaga, and N. Yamanaka, J. Appl. Phys. 68, 1483 (1990).
[CrossRef]

Yin, L. I.

Appl. Opt. (2)

IEEE Trans. Inf. Theory (1)

J. J. Knab, IEEE Trans. Inf. Theory IT-25, 717 (1979).
[CrossRef]

IEEE Trans. Med. Imag. (1)

J. W. V. Gissen, M. A. Viergever, and C. N. D. Graaf, IEEE Trans. Med. Imag. MI-4, 91 (1985).
[CrossRef]

IEEE Trans. Nucl. Sci. (1)

L. T. Chang, B. Macdonald, and V. Perez-Mendez, IEEE Trans. Nucl. Sci. NS-23, 568 (1976).
[CrossRef]

J. Appl. Phys. (1)

Y. W. Chen, N. Miyanaga, and N. Yamanaka, J. Appl. Phys. 68, 1483 (1990).
[CrossRef]

J. Opt. Soc. Am. (2)

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Figures (3)

Fig. 1
Fig. 1

Imaging-system geometry.

Fig. 2
Fig. 2

50% intensity isosurface of four reconstructed LED’s. The reconstructed function here is Px, y, z/z2 displayed as a function of x, y, z; the corners are labeled with their Cartesian coordinates in meters.

Fig. 3
Fig. 3

Intensity cross section through (a) the rear three LED’s and (b) the front LED as a function of x and z position.

Equations (2)

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

Iξ, η=VPx, y, z4πz2δξR+ξˆ-xz×δηR+ηˆ-yzdxdydz.
I˜kξ, kη, q=R2VPx, y, z4πz2 exp2πjkξx+kηy+qzdxdydz,

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