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On the inversion of the attenuated Radon transform. (English) Zbl 0427.65082


MSC:

65R10 Numerical methods for integral transforms
44A15 Special integral transforms (Legendre, Hilbert, etc.)
45A05 Linear integral equations
45L05 Theoretical approximation of solutions to integral equations
65R20 Numerical methods for integral equations
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References:

[1] Budinger, T.F., Gullberg, G.T.: Transverse Section Reconstruction, of Gamma-Ray Emitting Radionuclides in Patients. In: Reconstruction Tomography in Diagnostic Radiology and Nuclear Medicine. (M.M. Ter-Pogossian et al., ed.) Baltimore: University Park Press 1977
[2] Ludwig, D.: The Radon Transform on Euclidean Space. Comm. Pure Appl. Math.19, 49-81 (1966) · Zbl 0134.11305 · doi:10.1002/cpa.3160190105
[3] Kneser, H.: Funktionentheorie. Göttingen 1958
[4] Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions. Dover 1972 · Zbl 0543.33001
[5] Budinger, T.F., Gullberg, G.T.: Three-Dimensional Reconstruction in Nuclear Medicine Emission Immaging. IEEE Transactions on Nuclear Science21, 2-20 (1974)
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