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On the v-line radon transform and its imaging applications

Morvidone, M
Nguyen, M K
Truong, T T
Published in International Journal of Biomedical Imaging. 2010, vol. 2010, no. 208179, p. 1-6
Abstract Radon transforms defined on smooth curves are well known and extensively studied in the literature. In this paper, we consider a Radon transform defined on a discontinuous curve formed by a pair of half-lines forming the vertical letter V. If the classical two-dimensional Radon transform has served as a work horse for tomographic transmission and/or emission imaging, we show that this V-line Radon transform is the backbone of scattered radiation imaging in two dimensions. We establish its analytic inverse formula as well as a corresponding filtered back projection reconstruction procedure. These theoretical results allow the reconstruction of two-dimensional images from Compton scattered radiation collected on a one-dimensional collimated camera. We illustrate the working principles of this imaging modality by presenting numerical simulation results.
PMID: 20706545
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Research group Imagerie Médicale (TEP et TEMP) (542)
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MORVIDONE, M et al. On the v-line radon transform and its imaging applications. In: International Journal of Biomedical Imaging, 2010, vol. 2010, n° 208179, p. 1-6. https://archive-ouverte.unige.ch/unige:32887

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Deposited on : 2014-01-07

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