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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 27, Iss. 19 — Oct. 1, 1988
  • pp: 4084–4097

Reconstruction of smooth distributions from a limited number of projections

M. Ravichandran and F. C. Gouldin  »View Author Affiliations


Applied Optics, Vol. 27, Issue 19, pp. 4084-4097 (1988)
http://dx.doi.org/10.1364/AO.27.004084


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Abstract

Two reconstruction methods that recognize smoothness to be a priori information and use numerically space-limited basis functions have been developed. The first method is a modification of the well-known convolution method and uses such basis functions for the projections. The second method is a continuous algebraic reconstruction technique that employs consistent basis functions for the projections as well as the distribution and makes use of other a priori information like the constraints on the domain as well as the range of the distribution in a rigorous way. The efficacy of these methods has been demonstrated using a limited number of projections synthetically generated from a distribution phantom.

© 1988 Optical Society of America

History
Original Manuscript: November 16, 1987
Published: October 1, 1988

Citation
M. Ravichandran and F. C. Gouldin, "Reconstruction of smooth distributions from a limited number of projections," Appl. Opt. 27, 4084-4097 (1988)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-27-19-4084

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