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English

On the v-line radon transform and its imaging applications

Published inInternational journal of biomedical imaging, vol. 2010, no. 208179, p. 1-6
Publication date2010
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.

Citation (ISO format)
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. doi: 10.1155/2010/208179
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ISSN of the journal1687-4188
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