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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 19, Iss. 14 — Jul. 15, 1980
  • pp: 2465–2471

Coded aperture imaging: the modulation transfer function for uniformly redundant arrays

E. E. Fenimore  »View Author Affiliations


Applied Optics, Vol. 19, Issue 14, pp. 2465-2471 (1980)
http://dx.doi.org/10.1364/AO.19.002465


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Abstract

Coded aperture imaging uses many pinholes to increase the SNR for intrinsically weak sources when the radiation can be neither reflected nor refracted. Effectively, the signal is multiplexed onto an image and then decoded, often by computer, to form a reconstructed image. We derive the modulation transfer function (MTF) of such a system employing uniformly redundant arrays (URA). We show that the MTF of a URA system is virtually the same as the MTF of an individual pinhole regardless of the shape or size of the pinhole. Thus, only the location of the pinholes is important for optimum multiplexing and decoding. The shape and size of the pinholes can then be selected based on other criteria. For example, one can generate self-supporting patterns, useful for energies typically encountered in the imaging of laser-driven compressions or in soft x-ray astronomy. Such patterns contain holes that are all the same size, easing the etching or plating fabrication efforts for the apertures. A new reconstruction method is introduced called δ decoding. It improves the resolution capabilities of a coded aperture system by mitigating a blur often introduced during the reconstruction step.

© 1980 Optical Society of America

History
Original Manuscript: January 10, 1980
Published: July 15, 1980

Citation
E. E. Fenimore, "Coded aperture imaging: the modulation transfer function for uniformly redundant arrays," Appl. Opt. 19, 2465-2471 (1980)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-19-14-2465


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References

  1. L. Mertz, N. Young, in Proceedings, International Conference on Optical Instruments and Techniques, K. J. Habell, Ed. (Chapman and Hall, London, 1961), p. 305.
  2. H. H. Barrett, F. A. Horrigan, Appl. Opt. 12, 2686 (1973). [CrossRef] [PubMed]
  3. R. H. Dicke, Astrophys. J. 153, L101 (1968). [CrossRef]
  4. C. M. Brown, “Multiplex Imaging and Random Arrays,” Ph.D. Thesis, U. Chicago (1972).
  5. R. G. Simpson, H. H. Barrett, Opt. Eng. 14, 490 (1975). [CrossRef]
  6. E. E. Fenimore, T. M. Cannon, Appl. Opt. 17, 337 (1978). [CrossRef] [PubMed]
  7. E. O. Brigham, The Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, N.J., 1974).
  8. E. E. Fenimore, T. M. Cannon, D. B. Van Hulsteyn, P. Lee, Appl. Opt. 18, 945 (1979). [CrossRef] [PubMed]
  9. E. E. Fenimore, Appl. Opt. 17, 3562 (1978). [CrossRef] [PubMed]

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