The Sphere Method for the Inverse Problems of the Radon Transforms

Yufeng Yu ()
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Yufeng Yu: Shanxi Normal University

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 3, 1053-1063

Abstract: Abstract Using a different method — the sphere method, which is based on the technique of changing the integral on a plane into the integral on a hemisphere, we give some concise inverse formulas of the Radon transforms of functions with support in a cone with vertex at the origin and flare angle less than π/2, or with compact support. These formulas are easy for the computer to operate and thus can be applied in the imaging techniques of computerized tomography.

Keywords: Radon transform; inverse problems; the sphere method; 42B99; 65R10 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0449-x

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