On the V-Line Radon Transform and Its Imaging Applications
Joint Authors
Zaidi, Habib
Nguyen, M. K.
Truong, T. T.
Morvidone, M.
Source
International Journal of Biomedical Imaging
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-07-13
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Morvidone, M.& Nguyen, M. K.& Truong, T. T.& Zaidi, Habib. 2010. On the V-Line Radon Transform and Its Imaging Applications. International Journal of Biomedical Imaging،Vol. 2010, no. 2010, pp.1-6.
https://search.emarefa.net/detail/BIM-454621
Modern Language Association (MLA)
Morvidone, M.…[et al.]. On the V-Line Radon Transform and Its Imaging Applications. International Journal of Biomedical Imaging No. 2010 (2010), pp.1-6.
https://search.emarefa.net/detail/BIM-454621
American Medical Association (AMA)
Morvidone, M.& Nguyen, M. K.& Truong, T. T.& Zaidi, Habib. On the V-Line Radon Transform and Its Imaging Applications. International Journal of Biomedical Imaging. 2010. Vol. 2010, no. 2010, pp.1-6.
https://search.emarefa.net/detail/BIM-454621
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454621