Local tomography with nonsmooth attenuation

Katsevich, A.

doi:10.1090/S0002-9947-99-02160-1

Local tomography with nonsmooth attenuation
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by A. I. Katsevich

Trans. Amer. Math. Soc. 351 (1999), 1947-1974

DOI: https://doi.org/10.1090/S0002-9947-99-02160-1

Published electronically: January 27, 1999

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Abstract:

Local tomography for the Radon transform with nonsmooth attenuation is proposed and justified. The main theoretical tool is analysis of singularities of pseudodifferential operators with nonsmooth symbols. Results of numerical testing of local tomography are presented.

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