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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 26, Iss. 3 — Feb. 1, 1987
  • pp: 563–569

Coded aperture imaging: a Fourier space analysis

Keith A. Nugent  »View Author Affiliations


Applied Optics, Vol. 26, Issue 3, pp. 563-569 (1987)
http://dx.doi.org/10.1364/AO.26.000563


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Abstract

Coded aperture imaging is analyzed in Fourier space and the conditions for obtaining artifact-free 3-D images are obtained. It is deduced that an infinite square array of coding apertures will obey these conditions. A finite array is considered and it is shown that, after a certain coordinate transformation has been performed, the finite aperture acts to bandlimit the spatial frequencies in the image. This result is used to deduce a sampling theorem for coded apertures which places limits on the artifact-free 3-D information that may be obtained. It is thus deduced that 3-D information with a resolution greater than the limits placed here may only be obtained by extrapolating the data to larger viewing angles.

© 1987 Optical Society of America

History
Original Manuscript: July 14, 1986
Published: February 1, 1987

Citation
Keith A. Nugent, "Coded aperture imaging: a Fourier space analysis," Appl. Opt. 26, 563-569 (1987)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-26-3-563

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