Mathematical Aspects of Image Reconstruction from Projections

Martin D. Altschuler, Yair Censor, Gabor T. Herman, Arnold Lent, Robert M. Lewitt, Sargur N. Srihari, Heang Tuy, Jayaram K. Udupa

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


Image reconstruction from projections is a procedure of extreme usefulness in many scientific and medical fields. In particular, it has revolutionized diagnostic radiology in the last decade. The mathematical essence of the procedure is the estimation and presentation of a real-valued function of several variables from approximate values of a finite number of its line integrals. In this article we survey some of the mathematics associated with practical image reconstruction from projections. The topics dealt with include reconstruction from incomplete data, techniques based on optimization theory, the fully three-dimensional problem, and the display of reconstructions.
Original languageEnglish
Title of host publicationProgress in Pattern Recognition
EditorsLaveen N. KANAL, Azriel ROSENFELD
Place of PublicationAmsterdam
PublisherNorth-Holland Publ Co
Number of pages53
ISBN (Print)978-0-444-86325-6
StatePublished - 1981


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