Analytic time-of-flight positron emission tomography reconstruction: two-dimensional case

Abstract 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...

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Main Authors: Gengsheng L. Zeng, Ya Li, Qiu Huang
Format: Article
Language:English
Published: SpringerOpen 2019-12-01
Series:Visual Computing for Industry, Biomedicine, and Art
Subjects:
Online Access:https://doi.org/10.1186/s42492-019-0035-4
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author Gengsheng L. Zeng
Ya Li
Qiu Huang
author_facet Gengsheng L. Zeng
Ya Li
Qiu Huang
author_sort Gengsheng L. Zeng
collection DOAJ
description Abstract 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. Analytical image reconstruction algorithm exits for TOF PET which emulates the iterative Landweber algorithm. This paper introduces such an algorithm, focusing on two-dimensional (2D) reconstruction. The proposed algorithm is in the form of backprojection filtering, in which the backprojection is performed first, and then a 2D filter is applied to the backprojected image. For the list-mode data, the backprojection is carried out in the event-by-event fashion, and a profile function may be used along the projection LOR. The 2D filter depends on the TOF timing resolution as well as the backprojection profile function. In order to emulate the iterative algorithm effects, a Fourier-domain window function is suggested. This window function has a parameter, k, which corresponds to the iteration number in an iterative algorithm.
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spelling doaj.art-6021108baa5245f9862345e6ab13929f2022-12-21T23:35:37ZengSpringerOpenVisual Computing for Industry, Biomedicine, and Art2524-44422019-12-01211710.1186/s42492-019-0035-4Analytic time-of-flight positron emission tomography reconstruction: two-dimensional caseGengsheng L. Zeng0Ya Li1Qiu Huang2Department of Engineering, Utah Valley UniversityDepartment of Mathematics, Utah Valley UniversitySchool of Biomedical Engineering, Shanghai Jiaotong UniversityAbstract 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. Analytical image reconstruction algorithm exits for TOF PET which emulates the iterative Landweber algorithm. This paper introduces such an algorithm, focusing on two-dimensional (2D) reconstruction. The proposed algorithm is in the form of backprojection filtering, in which the backprojection is performed first, and then a 2D filter is applied to the backprojected image. For the list-mode data, the backprojection is carried out in the event-by-event fashion, and a profile function may be used along the projection LOR. The 2D filter depends on the TOF timing resolution as well as the backprojection profile function. In order to emulate the iterative algorithm effects, a Fourier-domain window function is suggested. This window function has a parameter, k, which corresponds to the iteration number in an iterative algorithm.https://doi.org/10.1186/s42492-019-0035-4Positron emission tomographyTime-of-flightAnalytic reconstruction
spellingShingle Gengsheng L. Zeng
Ya Li
Qiu Huang
Analytic time-of-flight positron emission tomography reconstruction: two-dimensional case
Visual Computing for Industry, Biomedicine, and Art
Positron emission tomography
Time-of-flight
Analytic reconstruction
title Analytic time-of-flight positron emission tomography reconstruction: two-dimensional case
title_full Analytic time-of-flight positron emission tomography reconstruction: two-dimensional case
title_fullStr Analytic time-of-flight positron emission tomography reconstruction: two-dimensional case
title_full_unstemmed Analytic time-of-flight positron emission tomography reconstruction: two-dimensional case
title_short Analytic time-of-flight positron emission tomography reconstruction: two-dimensional case
title_sort analytic time of flight positron emission tomography reconstruction two dimensional case
topic Positron emission tomography
Time-of-flight
Analytic reconstruction
url https://doi.org/10.1186/s42492-019-0035-4
work_keys_str_mv AT gengshenglzeng analytictimeofflightpositronemissiontomographyreconstructiontwodimensionalcase
AT yali analytictimeofflightpositronemissiontomographyreconstructiontwodimensionalcase
AT qiuhuang analytictimeofflightpositronemissiontomographyreconstructiontwodimensionalcase