Practical and mathematical aspects of the problem of reconstructing objects from radiographs
DOI10.1090/S0002-9904-1977-14406-6zbMath0521.65090MaRDI QIDQ3670502
Donald C. Solmon, S. L. Wagner, Kennan T. Smith
Publication date: 1977
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
iterative algorithmconvergence ratesRadon transformerror boundscomputerized tomographyanalytic continuationreconstructionline integralsmathematical modelsCT scannernoise instabilityoriginal density
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Harmonic analysis on homogeneous spaces (43A85) Numerical methods for integral transforms (65R10) Calculus on manifolds; nonlinear operators (58C99) Other natural sciences (mathematical treatment) (92F05) Integral equations with miscellaneous special kernels (45H05)
Related Items (93)
Cites Work
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- Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
- The angles between the null spaces of X rays
- Lower dimensional integrability of \(L^2\) functions
- The X-ray transform
- Uniform asymptotic expansions at a caustic
- The paley‐wiener theorem for the radon transform
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