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The Sphere Method for the Inverse Problems of the Radon Transforms

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  • Yufeng Yu

    (Shanxi Normal University)

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.

Suggested Citation

  • Yufeng Yu, 2020. "The Sphere Method for the Inverse Problems of the Radon Transforms," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(3), pages 1053-1063, September.
    • Handle: RePEc:spr:indpam:v:51:y:2020:i:3:d:10.1007_s13226-020-0449-x
    DOI: 10.1007/s13226-020-0449-x
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