List-Mode PET Image Reconstruction Using Dykstra-Like Splitting

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Hauptverfasser: Ote, Kibo, Hashimoto, Fumio, Onishi, Yuya, Ouchi, Yasuomi
Format: Preprint
Veröffentlicht: 2024
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author Ote, Kibo
Hashimoto, Fumio
Onishi, Yuya
Ouchi, Yasuomi
author_facet Ote, Kibo
Hashimoto, Fumio
Onishi, Yuya
Ouchi, Yasuomi
contents Convergence of the block iterative method in image reconstruction for positron emission tomography (PET) requires careful control of relaxation parameters, which is a challenging task. The automatic determination of relaxation parameters for list-mode reconstructions also remains challenging. Therefore, a different approach would be desirable. In this study, we propose a list-mode maximum likelihood Dykstra-like splitting PET reconstruction (LM-MLDS). LM-MLDS converges the list-mode block iterative method by adding the distance from an initial image as a penalty term into an objective function. LM-MLDS takes a two-step approach because its performance depends on the quality of the initial image. The first step uses a uniform image as the initial image, and then the second step uses a reconstructed image after one main iteration as the initial image. In a simulation study, LM-MLDS provided a better tradeoff curve between noise and contrast than the other methods. In a clinical study, LM-MLDS removed the false hotspots at the edge of the axial field of view and improved the image quality of slices covering the top of the head to the cerebellum. List-mode proximal splitting reconstruction is useful not only for optimizing nondifferential functions but also for converging block iterative methods without controlling relaxation parameters.
format Preprint
id arxiv_https___arxiv_org_abs_2403_00394
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle List-Mode PET Image Reconstruction Using Dykstra-Like Splitting
Ote, Kibo
Hashimoto, Fumio
Onishi, Yuya
Ouchi, Yasuomi
Medical Physics
Computer Vision and Pattern Recognition
Image and Video Processing
Convergence of the block iterative method in image reconstruction for positron emission tomography (PET) requires careful control of relaxation parameters, which is a challenging task. The automatic determination of relaxation parameters for list-mode reconstructions also remains challenging. Therefore, a different approach would be desirable. In this study, we propose a list-mode maximum likelihood Dykstra-like splitting PET reconstruction (LM-MLDS). LM-MLDS converges the list-mode block iterative method by adding the distance from an initial image as a penalty term into an objective function. LM-MLDS takes a two-step approach because its performance depends on the quality of the initial image. The first step uses a uniform image as the initial image, and then the second step uses a reconstructed image after one main iteration as the initial image. In a simulation study, LM-MLDS provided a better tradeoff curve between noise and contrast than the other methods. In a clinical study, LM-MLDS removed the false hotspots at the edge of the axial field of view and improved the image quality of slices covering the top of the head to the cerebellum. List-mode proximal splitting reconstruction is useful not only for optimizing nondifferential functions but also for converging block iterative methods without controlling relaxation parameters.
title List-Mode PET Image Reconstruction Using Dykstra-Like Splitting
topic Medical Physics
Computer Vision and Pattern Recognition
Image and Video Processing
url https://arxiv.org/abs/2403.00394