{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:26:15Z","timestamp":1772295975172,"version":"3.50.1"},"reference-count":10,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2010,7,13]],"date-time":"2010-07-13T00:00:00Z","timestamp":1278979200000},"content-version":"vor","delay-in-days":193,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001711","name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","doi-asserted-by":"publisher","award":["3152A0-102143"],"award-info":[{"award-number":["3152A0-102143"]}],"id":[{"id":"10.13039\/501100001711","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Biomedical Imaging"],"published-print":{"date-parts":[[2010,1]]},"abstract":"<jats:p>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\u2010lines forming the vertical letter V. If the classical two\u2010dimensional Radon transform has served as a work horse for tomographic transmission and\/or emission imaging, we show that this V\u2010line 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\u2010dimensional images from Compton scattered radiation collected on a one\u2010dimensional collimated camera. We illustrate the working principles of this imaging modality by presenting numerical simulation results.<\/jats:p>","DOI":"10.1155\/2010\/208179","type":"journal-article","created":{"date-parts":[[2010,7,13]],"date-time":"2010-07-13T14:37:06Z","timestamp":1279031826000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":39,"title":["On the V\u2010Line Radon Transform and Its Imaging Applications"],"prefix":"10.1155","volume":"2010","author":[{"given":"M.","family":"Morvidone","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. K.","family":"Nguyen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"T. T.","family":"Truong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"H.","family":"Zaidi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2010,7,13]]},"reference":[{"key":"e_1_2_6_1_2","doi-asserted-by":"publisher","DOI":"10.1088\/0266\u20105611\/18\/1\/318"},{"key":"e_1_2_6_2_2","doi-asserted-by":"publisher","DOI":"10.1080\/10682760310001598661"},{"key":"e_1_2_6_3_2","doi-asserted-by":"publisher","DOI":"10.1109\/TNS.2009.2018106"},{"key":"e_1_2_6_4_2","doi-asserted-by":"publisher","DOI":"10.1155\/2007\/92780"},{"key":"e_1_2_6_5_2","first-page":"262","article-title":"Uber die Bestimmung von Funktionnen durch ihre Integralwerte l\u00e4ngs gewisser Mannigfaltigkeiten","volume":"69","author":"Radon J.","year":"1917","journal-title":"Ber. Verh. Sachs. Akad. Wiss. Leipzig- Math.-Natur."},{"key":"e_1_2_6_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/23.597011"},{"key":"e_1_2_6_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/42.293932"},{"key":"e_1_2_6_8_2","doi-asserted-by":"publisher","DOI":"10.1088\/0305\u20104470\/38\/37\/006"},{"key":"e_1_2_6_9_2","first-page":"219","volume-title":"Progress in Optics","author":"Barrett H. H.","year":"1984"},{"key":"e_1_2_6_10_2","first-page":"373","article-title":"On a class of generalized Radon transforms and its role in imaging science","volume":"49","author":"Truong T. T.","year":"2008","journal-title":"International Journal of Pure and Applied Mathematics"}],"container-title":["International Journal of Biomedical Imaging"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijbi\/2010\/208179.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijbi\/2010\/208179.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2010\/208179","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,19]],"date-time":"2024-06-19T11:29:11Z","timestamp":1718796551000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2010\/208179"}},"subtitle":[],"editor":[{"given":"Shan","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2010,1]]},"references-count":10,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2010,1]]}},"alternative-id":["10.1155\/2010\/208179"],"URL":"https:\/\/doi.org\/10.1155\/2010\/208179","archive":["Portico"],"relation":{},"ISSN":["1687-4188","1687-4196"],"issn-type":[{"value":"1687-4188","type":"print"},{"value":"1687-4196","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,1]]},"assertion":[{"value":"2009-10-04","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2010-04-22","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2010-07-13","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"208179"}}