Regularizing the method of reconstructing a function on the basis of its spherical Radon transform

DOI10.3103/S0278641912010098zbMath1259.65208MaRDI QIDQ1759139

O. V. Shestakov

Publication date: 20 November 2012

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

zbMATH Keywords

error estimatesregularizationincomplete dataspherical Radon transformtomographic images

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for integral transforms (65R10) Numerical methods for inverse problems for integral equations (65R32)

Cites Work

• The Radon transform
• Estimation of the distance between the densities of probabilistic measures with close projections
• A solution of the computer tomography paradox and estimating the distances between the densities of measures with the same marginals
• Inversion of the attenuated Radon transform
• Reconstruction of a two-dimensional reflecting medium over a circular domain: Exact solution
• Inversion of Spherical Means and the Wave Equation in Even Dimensions

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