On the inversion of the attenuated Radon transform |
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| Authors: | Frank Natterer |
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| Affiliation: | 1. Angewandte mathematik und Informatik, Fachbereich 10 der Universit?t des Saarlandes, D-6600, Saarbrücken, Germany (Fed. Republic)
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| Abstract: | We given an inversion formula for the attenuated Radon transform $$bar omega _L $$ for constant attenuation μ which is accurate up toO(µ 4) We also derive an integral equation of the second kind for the solution ofR μf=g. The implementation of both methods for the inversion ofR μ consists basically of a generalized filtered backprojection algorithm. Numerical examples are presented. |
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