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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 24, Iss. 23 — Dec. 1, 1985
  • pp: 3950–3957

Mathematical foundations of computed tomography

Kennan T. Smith and F. Keinert  »View Author Affiliations


Applied Optics, Vol. 24, Issue 23, pp. 3950-3957 (1985)
http://dx.doi.org/10.1364/AO.24.003950


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Abstract

Along with a review of some of the mathematical foundations of computed tomography, the article contains new results on derivation of reconstruction formulas in a general setting encompassing all standard formulas; discussion and examples of the role of the point spread function with recipes for producing suitable ones; formulas for, and examples of, the reconstruction of certain functions of the attenuation coefficient, e.g., sharpened versions of it, some of them with the property that reconstruction at a point requires only the attenuation along rays meeting a small neighborhood of the point.

© 1985 Optical Society of America

History
Original Manuscript: August 12, 1984
Published: December 1, 1985

Citation
Kennan T. Smith and F. Keinert, "Mathematical foundations of computed tomography," Appl. Opt. 24, 3950-3957 (1985)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-24-23-3950

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