Influence of refraction to the accuracy of a solution for the 2D-emission tomography problem

DOI10.1515/jiip.2000.8.2.161zbMath0961.65113OpenAlexW2324461723MaRDI QIDQ4506147

Rainer Dietz, Thomas Schuster, Alfred K. Louis, E. Yu. Derevtsov

Publication date: 6 June 2001

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2000.8.2.161

zbMATH Keywords

comparison of methodsregularizationRadon transformnumerical examplesabsorptionlinear ill-posed problemsrefractionreconstructionexponential ray transform2D-emission tomography problem

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for integral transforms (65R10) Numerical methods for ill-posed problems for integral equations (65R30)

Related Items (5)

Approximate reconstruction from ray integrals of a function on a domain with low refraction ⋮ The method of approximate inverse for the Radon transform operator acting on functions and for the normal Radon transform operators acting on vector and symmetric 2-tensor fields in \(\mathbb R^3\) ⋮ A numerical solver based on \(B\)-splines for 2D vector field tomography in a refracting medium ⋮ The Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields ⋮ Well-defined forward operators in dynamic diffractive tensor tomography using viscosity solutions of transport equations

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