Computerized Tomography with Unknown Sources

DOI10.1137/0143079zbMath0534.65088OpenAlexW2085670599MaRDI QIDQ3318062

Frank Natterer

Publication date: 1983

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0143079

zbMATH Keywords

computational complexityChebyshev polynomialsNewton's methodvariational techniqueconsistency conditionsattenuated Radon transformemission tomographydivergent beam transformstructure of the rangeradio pharmacologytransmission computerized tomography

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Medical applications (general) (92C50) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10)

Related Items (9)

The harmonic decomposition reconstruction for the exponential radon transform ⋮ The identification problem for the constantly attenuated Radon transform ⋮ MOROZOV'S DISCREPANCY PRINCIPLE FOR TIKHONOV-REGULARIZATION OF NONLINEAR OPERATORS ⋮ Inversion of exponential \(k\)-plane transforms ⋮ Identifying rotational Radon transforms ⋮ Regularization approach for inverting the exponential Radon transforms (ERT) ⋮ On the range of the Radon transform and its dual ⋮ Filtered-backprojection and the exponential Radon transform ⋮ The empirical process of residuals from an inverse regression

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