2017
DOI: 10.1109/tmi.2017.2675989
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PET Image Reconstruction and Deformable Motion Correction Using Unorganized Point Clouds

Abstract: Quantitative positron emission tomography imaging often requires correcting the image data for deformable motion. With cyclic motion, this is traditionally achieved by separating the coincidence data into a relatively small number of gates, and incorporating the inter-gate image transformation matrices into the reconstruction algorithm. In the presence of non-cyclic deformable motion, this approach may be impractical due to a large number of required gates. In this paper, we propose an alternative approach to … Show more

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Cited by 10 publications
(2 citation statements)
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“…The proposed method is based on the mathematical structures called Voronoi diagrams [32]. Those diagrams are currently being used for automatic target volume definition during treatment planning in radiotherapy [33], image correction of deformable motion in PET image reconstruction [34] or, in pixelated-based PET detectors, for energy calibration procedures [35] and crystal identification in a multiple-layer configurations [36]. Moreover, Voronoi diagrams are also used in sports [37], [38], chemistry [39], [40], astronomy [41], medicine [42], and image processing [43].…”
Section: Introductionmentioning
confidence: 99%
“…The proposed method is based on the mathematical structures called Voronoi diagrams [32]. Those diagrams are currently being used for automatic target volume definition during treatment planning in radiotherapy [33], image correction of deformable motion in PET image reconstruction [34] or, in pixelated-based PET detectors, for energy calibration procedures [35] and crystal identification in a multiple-layer configurations [36]. Moreover, Voronoi diagrams are also used in sports [37], [38], chemistry [39], [40], astronomy [41], medicine [42], and image processing [43].…”
Section: Introductionmentioning
confidence: 99%
“…( , , ) sigm x m  is the soft threshold of S-type function [26], which is given by 22 0.5( ) ( , , ) 0.5 1 ( )…”
Section: Scattered Point Cloud Data Preprocessingmentioning
confidence: 99%