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Art"],"published-print":{"date-parts":[[2020,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In a positron emission tomography (PET) scanner, the time-of-flight (TOF) information gives us rough event position along the line-of-response (LOR). Using the TOF information for PET image reconstruction is able to reduce image noise. The state-of-the-art TOF PET image reconstruction uses iterative algorithms. This study introduces an analytic TOF PET algorithm that focuses on three-dimensional (3D) reconstruction. The proposed algorithm is in the form of backprojection filtering, in which the backprojection is performed first by using a time-resolution profile function, and then a 3D filter is applied to the backprojected image. For the list-mode data, the backprojection is carried out in the event-by-event fashion, and the timing resolution determined weighting function is used along the projection LOR. Computer simulations are carried out to verify the feasibility of the proposed algorithm.<\/jats:p>","DOI":"10.1186\/s42492-020-0042-5","type":"journal-article","created":{"date-parts":[[2020,2,17]],"date-time":"2020-02-17T16:09:04Z","timestamp":1581955744000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Analytic time-of-flight positron emission tomography reconstruction: three-dimensional case"],"prefix":"10.1186","volume":"3","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0790-6043","authenticated-orcid":false,"given":"Gengsheng L.","family":"Zeng","sequence":"first","affiliation":[]},{"given":"Ya","family":"Li","sequence":"additional","affiliation":[]},{"given":"Qiu","family":"Huang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,2,17]]},"reference":[{"issue":"6","key":"42_CR1","doi-asserted-by":"publisher","first-page":"4581","DOI":"10.1109\/TNS.1981.4335769","volume":"28","author":"Takehiro Tomitani","year":"1981","unstructured":"Tomitani T (1981) Image reconstruction and noise evaluation in photon time-of-flight assisted positron emission tomography. 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