On some optimization techniques in image reconstruction from projections
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TL;DR
Several special-purpose optimization techniques which have been recently developed as reconstruction algorithms which have revolutionized diagnostic radiology in the last decade are presented.
Abstract
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 paper we present several special-purpose optimization techniques which have been recently developed as reconstruction algorithms. The emphasis of the discussion is on recent developments and open problems.
