An “Ill-Conditioned” Volterra Integral Equation Related to the Reconstruction of Images from Projections

DOI10.1137/0144045zbMath0595.65140OpenAlexW2037817989MaRDI QIDQ3727332

Stefano Alliney, Fiorella Sgallari

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1137/0144045

zbMATH Keywords

regularizationRadon transforminversion formulaill-posed problemstomographyreconstruction

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10) Volterra integral equations (45D05) Integral equations with miscellaneous special kernels (45H05)

Related Items (3)

Regularization method for solving Radon integral equations ⋮ Chebyshev approximation for solving the radon integral equation ⋮ Quadrature methods with regularization technique for singularly perturbed volterra integral equations

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