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Proceedings Paper

Nonlinear problems in fast tomography
Author(s): William R. B. Lionheart; Sophia B. Coban
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Paper Abstract

Even the simplest problem of monochromatic scalar absorption tomography becomes non linear when the source and detectors elements are no longer treated as points. This has variously been described as non-linear partial volume effect or exponential edge effect. We show that the nonlinearity is significant in practical fast tomography systems such as the Bergen gamma tomography system used for inspection of flows in pipes. We describe an iterative reconstruction algorithm for reconstruction using this model and present numerical results. Other non- linear problems arise in rich tomography methods and as a simple example we describe the non-Ableian problem of neutron spin tomography used for imaging magnetic domains.

Paper Details

Date Published: 25 September 2017
PDF: 8 pages
Proc. SPIE 10391, Developments in X-Ray Tomography XI, 1039116 (25 September 2017); doi: 10.1117/12.2275194
Show Author Affiliations
William R. B. Lionheart, The Univ. of Manchester (United Kingdom)
Sophia B. Coban, Ctr. Wiskunde & Informatica (Netherlands)

Published in SPIE Proceedings Vol. 10391:
Developments in X-Ray Tomography XI
Bert Müller; Ge Wang, Editor(s)

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