OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 22 — Aug. 1, 2013
  • pp: 5478–5492

Unbiased and biased estimators in coded aperture imaging for far field standoff detection at low count rates

Sam S. Huh, Donald Gunter, Daniel Chivers, Lucian Mihailescu, and Kai Vetter  »View Author Affiliations


Applied Optics, Vol. 52, Issue 22, pp. 5478-5492 (2013)
http://dx.doi.org/10.1364/AO.52.005478


View Full Text Article

Enhanced HTML    Acrobat PDF (2108 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

In general, the reconstructed image in coded aperture imaging is affected by the source configuration. Fenimore’s balanced convolution method in conjunction with the uniformly redundant array can remove the interference due to the source configuration. As an extension of Fenimore’s balanced convolution method, we present general conditions for designing an unbiased mean estimator for a far-field coded aperture imaging system with a random binary mask. As part of the general conditions, we propose decoding arrays whose elements are variable with respect to source directions. We also show that the unbiased mean estimator from Fenimore’s balanced convolution method is a special case of the general conditions. We also present a practical example of designing restoring arrays for a coded aperture system with a random mask.

© 2013 Optical Society of America

OCIS Codes
(340.0340) X-ray optics : X-ray optics
(340.7430) X-ray optics : X-ray coded apertures

ToC Category:
X-ray Optics

History
Original Manuscript: April 2, 2013
Revised Manuscript: June 7, 2013
Manuscript Accepted: June 27, 2013
Published: July 26, 2013

Citation
Sam S. Huh, Donald Gunter, Daniel Chivers, Lucian Mihailescu, and Kai Vetter, "Unbiased and biased estimators in coded aperture imaging for far field standoff detection at low count rates," Appl. Opt. 52, 5478-5492 (2013)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-52-22-5478


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. E. Caroli, J. B. Stephen, G. Di Gocco, L. Natalucci, and A. Spizzichino, “Coded aperture imaging in x- and gamma-ray astronomy,” Space Sci. Rev. 45349–403 (1987). [CrossRef]
  2. E. E. Fenimore, “Coded aperture imaging: predicted performance of uniformly redundant arrays,” Appl. Opt. 17, 3562–3570 (1978). [CrossRef]
  3. C. Brown, “Multiplex imaging with multi-pinhole cameras,” J. Appl. Phys. 45, 1806–1811 (1974). [CrossRef]
  4. E. F. Fenimore and T. M. Cannon, “Coded aperture imaging with uniformly redundant arrays,” Appl. Opt. 17, 337–347 (1978). [CrossRef]
  5. E. Caroli, R. C. Butler, G. Di Cocco, P. P. Maggili, L. Natalucci, and A. Spizzichino, “Coded Masks in X- and gamma-ray astronomy: the problem of the signal-to-noise ratio evaluation,” Il Nuovo Cimento 7, 786–804 (1984). [CrossRef]
  6. S. R. Gottesman and E. E. Fenimore, “New family of binary arrays for coded aperture imaging,” Appl. Opt. 28, 4344–4352 (1989). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited