Filtered-backprojection and the exponential Radon transform

DOI10.1016/0022-247X(89)90209-6zbMath0684.44004OpenAlexW2051733567MaRDI QIDQ1825400

Donald C. Solmon, Irene A. Hazou

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(89)90209-6

zbMATH Keywords

attenuated Radon transformexponential Radon transformsingle photon emission computed tomographygeneralized Radon transformsapproximate inversion formulafiltered-backprojectiongeneralized projection theoremregularity of filters

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10) Integral operators (45P05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (4)

Adaptive estimation of a function from its exponential Radon transform in presence of noise ⋮ Minimax optimal estimator in a stochastic inverse problem for exponential Radon transform ⋮ Inversion of exponential \(k\)-plane transforms ⋮ Regularization approach for inverting the exponential Radon transforms (ERT)

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• A birth and death model of neuron firing
• An algebra of pseudo‐differential operators

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