Numerische Mathematik

, Volume 32, Issue 4, pp 431–438

On the inversion of the attenuated Radon transform

  • Frank Natterer
Article

DOI: 10.1007/BF01401046

Cite this article as:
Natterer, F. Numer. Math. (1979) 32: 431. doi:10.1007/BF01401046
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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(µ4)

We also derive an integral equation of the second kind for the solution ofRμf=g. The implementation of both methods for the inversion ofRμ consists basically of a generalized filtered backprojection algorithm. Numerical examples are presented.

Subject Classifications

AMS(MOS)65R05CR5.18

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Frank Natterer
    • 1
  1. 1.Angewandte mathematik und InformatikFachbereich 10 der Universität des SaarlandesSaarbrückenGermany (Fed. Republic)