ATTENUATED RADON AND ABEL TRANSFORMS.

Anne V. Clough, Harrison H Barrett

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

The attenuated Radon transform is the mathematical basis of single-photon emission-computer tomography. The case of constant attenuation is reviewed, and a new proof of the Tretiak-Metz algorithm is presented. A space-domain version of the inverse attenuated radon transform is derived. A special case of this transform that is applicable when the object is rotationally symmetric, the attenuated Abel transform, is derived, and its inverse is found.

Original languageEnglish (US)
Pages (from-to)1590-1595
Number of pages6
JournalJournal of the Optical Society of America
Volume73
Issue number11
StatePublished - Nov 1983
Externally publishedYes

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Radon
Tomography
Photons

ASJC Scopus subject areas

  • Engineering(all)

Cite this

ATTENUATED RADON AND ABEL TRANSFORMS. / Clough, Anne V.; Barrett, Harrison H.

In: Journal of the Optical Society of America, Vol. 73, No. 11, 11.1983, p. 1590-1595.

Research output: Contribution to journalArticle

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