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A mathematical approach towards THz tomography for non-destructive imaging

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arxiv 2010.14938 v1 pith:O26UOH2C submitted 2020-10-28 math.NA cs.NA

A mathematical approach towards THz tomography for non-destructive imaging

classification math.NA cs.NA
keywords tomographyconsiderimagingmathematicalnon-destructiveproblemappearsapproach
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In this paper, we consider the imaging problem of terahertz (THz) tomography, in particular as it appears in non-destructive testing. We derive a nonlinear mathematical model describing a full THz tomography experiment, and consider linear approximations connecting THz tomography with standard computerized tomography and the Radon transform. Based on the derived models we propose different reconstruction approaches for solving the THz tomography problem, which we then compare on experimental data obtained from THz measurements of a plastic sample.

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