Author:
Hubmer Simon,Ploier Alexander,Ramlau Ronny,Fosodeder Peter,Frank Sandrine van
Abstract
<p style='text-indent:20px;'>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.</p>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Control and Optimization,Discrete Mathematics and Combinatorics,Modeling and Simulation,Analysis,Control and Optimization,Discrete Mathematics and Combinatorics,Modelling and Simulation,Analysis
Reference32 articles.
1. E. Abraham, A. Younus, C. Aguerre, P. Desbarats, P. Mounaix.Refraction losses in terahertz computed tomography, Optics Communications, 283 (2010), 2050-2055.
2. A. Beck, M. Teboulle.A fast iterative shrinkage-thresholding algorithm for linear inverse problems, SIAM J. Imaging Sci., 2 (2009), 183-202.
3. I. Daubechies, M. Defrise, C. De Mol.An iterative thresholding algorithm for linear inverse problems with a sparsity constraint, Comm. Pure Appl. Math., 57 (2004), 1413-1457.
4. V. Dicken, Simultaneous Activity and Attenuation Reconstruction in Single Photon Emission Computed Tomography, a Nonlinear Ill-Posed Problem, PhD thesis, Universität Potsdam, 1998.
5. V. Dicken.A new approach towards simultaneous activity and attenuation reconstruction in emission tomography, Inverse Problems, 15 (1999), 931-960.
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