Rethinking timing residuals: advancing PET detectors with explicit TOF corrections

PET is a functional imaging method that can visualize metabolic processes and relies on the coincidence detection of emitted annihilation quanta. From the signals recorded by coincident detectors, TOF information can be derived, usually represented as the difference in detection timestamps. Incorpor...

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Main Authors: Stephan Naunheim, Luis Lopes de Paiva, Vanessa Nadig, Yannick Kuhl, Stefan Gundacker, Florian Mueller, Volkmar Schulz
Format: Article
Language:English
Published: Frontiers Media S.A. 2025-04-01
Series:Frontiers in Physics
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Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2025.1570925/full
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author Stephan Naunheim
Stephan Naunheim
Luis Lopes de Paiva
Luis Lopes de Paiva
Vanessa Nadig
Yannick Kuhl
Yannick Kuhl
Stefan Gundacker
Stefan Gundacker
Florian Mueller
Volkmar Schulz
Volkmar Schulz
Volkmar Schulz
Volkmar Schulz
author_facet Stephan Naunheim
Stephan Naunheim
Luis Lopes de Paiva
Luis Lopes de Paiva
Vanessa Nadig
Yannick Kuhl
Yannick Kuhl
Stefan Gundacker
Stefan Gundacker
Florian Mueller
Volkmar Schulz
Volkmar Schulz
Volkmar Schulz
Volkmar Schulz
author_sort Stephan Naunheim
collection DOAJ
description PET is a functional imaging method that can visualize metabolic processes and relies on the coincidence detection of emitted annihilation quanta. From the signals recorded by coincident detectors, TOF information can be derived, usually represented as the difference in detection timestamps. Incorporating the TOF information into the reconstruction can enhance the image’s SNR. Typically, PET detectors are assessed based on the coincidence time resolution (CTR) they can achieve. However, the detection process is affected by factors that degrade the timing performance of PET detectors. Research on timing calibrations develops and evaluates concepts aimed at mitigating these degradations to restore the unaffected timing information. While many calibration methods rely on analytical approaches, machine learning techniques have recently gained interest due to their flexibility. We developed a residual physics-based calibration approach, which combines prior domain knowledge with the flexibility and power of machine learning models. This concept revolves around an initial analytical calibration step addressing first-order skews. In the subsequent step, any deviation from a defined expectation is regarded as a residual effect, which we leverage to train machine learning models to eliminate higher-order skews. The main advantage of this idea is that the experimenter can guide the learning process through the definition of the timing residuals. In earlier studies, we developed models that directly predicted the expected time difference, which offered corrections only implicitly (implicit correction models). In this study, we introduce a new definition for timing residuals, enabling us to train models that directly predict correction values (explicit correction models). We demonstrate that the explicit correction approach allows for a massive simplification of the data acquisition procedure, offers exceptionally high linearity, and provides corrections able to improve the timing performance from (371 ± 6) ps to (281 ± 5) ps for coincidences from 430 keV to 590 keV. Furthermore, the novel definition makes it possible to exponentially reduce the models in size, making it suitable for applications with high data throughput, such as PET scanners. All experiments are performed with two detector stacks comprised of 4×4 LYSO:Ce,Ca crystals (each 3.8 mm × 3.8 mm x 20 mm), which are coupled to 4 × 4 Broadcom NUV-MT SiPMs and digitized with the TOFPET2 ASIC.
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spelling doaj-art-29c1911a23074276963f17781b14c6862025-08-20T02:27:39ZengFrontiers Media S.A.Frontiers in Physics2296-424X2025-04-011310.3389/fphy.2025.15709251570925Rethinking timing residuals: advancing PET detectors with explicit TOF correctionsStephan Naunheim0Stephan Naunheim1Luis Lopes de Paiva2Luis Lopes de Paiva3Vanessa Nadig4Yannick Kuhl5Yannick Kuhl6Stefan Gundacker7Stefan Gundacker8Florian Mueller9Volkmar Schulz10Volkmar Schulz11Volkmar Schulz12Volkmar Schulz13Institute of Imaging and Computer Vision (LfB), RWTH Aachen University, Aachen, GermanyDepartment of Physics of Molecular Imaging Systems (PMI), Institute for Experimental Molecular Imaging, RWTH Aachen University, Aachen, GermanyInstitute of Imaging and Computer Vision (LfB), RWTH Aachen University, Aachen, GermanyDepartment of Physics of Molecular Imaging Systems (PMI), Institute for Experimental Molecular Imaging, RWTH Aachen University, Aachen, GermanyDepartment of Physics of Molecular Imaging Systems (PMI), Institute for Experimental Molecular Imaging, RWTH Aachen University, Aachen, GermanyInstitute of Imaging and Computer Vision (LfB), RWTH Aachen University, Aachen, GermanyDepartment of Physics of Molecular Imaging Systems (PMI), Institute for Experimental Molecular Imaging, RWTH Aachen University, Aachen, GermanyDepartment of Physics of Molecular Imaging Systems (PMI), Institute for Experimental Molecular Imaging, RWTH Aachen University, Aachen, GermanyInstitute of High Energy Physics (HEPHY), Austrian Academy of Sciences, Vienna, AustriaDepartment of Physics of Molecular Imaging Systems (PMI), Institute for Experimental Molecular Imaging, RWTH Aachen University, Aachen, GermanyInstitute of Imaging and Computer Vision (LfB), RWTH Aachen University, Aachen, GermanyHyperion Hybrid Imaging Systems GmbH, Aachen, GermanyFraunhofer Institute for Digital Medicine MEVIS, Aachen, GermanyPhysics Institute III B, RWTH Aachen University, Aachen, GermanyPET is a functional imaging method that can visualize metabolic processes and relies on the coincidence detection of emitted annihilation quanta. From the signals recorded by coincident detectors, TOF information can be derived, usually represented as the difference in detection timestamps. Incorporating the TOF information into the reconstruction can enhance the image’s SNR. Typically, PET detectors are assessed based on the coincidence time resolution (CTR) they can achieve. However, the detection process is affected by factors that degrade the timing performance of PET detectors. Research on timing calibrations develops and evaluates concepts aimed at mitigating these degradations to restore the unaffected timing information. While many calibration methods rely on analytical approaches, machine learning techniques have recently gained interest due to their flexibility. We developed a residual physics-based calibration approach, which combines prior domain knowledge with the flexibility and power of machine learning models. This concept revolves around an initial analytical calibration step addressing first-order skews. In the subsequent step, any deviation from a defined expectation is regarded as a residual effect, which we leverage to train machine learning models to eliminate higher-order skews. The main advantage of this idea is that the experimenter can guide the learning process through the definition of the timing residuals. In earlier studies, we developed models that directly predicted the expected time difference, which offered corrections only implicitly (implicit correction models). In this study, we introduce a new definition for timing residuals, enabling us to train models that directly predict correction values (explicit correction models). We demonstrate that the explicit correction approach allows for a massive simplification of the data acquisition procedure, offers exceptionally high linearity, and provides corrections able to improve the timing performance from (371 ± 6) ps to (281 ± 5) ps for coincidences from 430 keV to 590 keV. Furthermore, the novel definition makes it possible to exponentially reduce the models in size, making it suitable for applications with high data throughput, such as PET scanners. All experiments are performed with two detector stacks comprised of 4×4 LYSO:Ce,Ca crystals (each 3.8 mm × 3.8 mm x 20 mm), which are coupled to 4 × 4 Broadcom NUV-MT SiPMs and digitized with the TOFPET2 ASIC.https://www.frontiersin.org/articles/10.3389/fphy.2025.1570925/fullTOFPETCTRmachine learningTOFPET2light-sharing
spellingShingle Stephan Naunheim
Stephan Naunheim
Luis Lopes de Paiva
Luis Lopes de Paiva
Vanessa Nadig
Yannick Kuhl
Yannick Kuhl
Stefan Gundacker
Stefan Gundacker
Florian Mueller
Volkmar Schulz
Volkmar Schulz
Volkmar Schulz
Volkmar Schulz
Rethinking timing residuals: advancing PET detectors with explicit TOF corrections
Frontiers in Physics
TOF
PET
CTR
machine learning
TOFPET2
light-sharing
title Rethinking timing residuals: advancing PET detectors with explicit TOF corrections
title_full Rethinking timing residuals: advancing PET detectors with explicit TOF corrections
title_fullStr Rethinking timing residuals: advancing PET detectors with explicit TOF corrections
title_full_unstemmed Rethinking timing residuals: advancing PET detectors with explicit TOF corrections
title_short Rethinking timing residuals: advancing PET detectors with explicit TOF corrections
title_sort rethinking timing residuals advancing pet detectors with explicit tof corrections
topic TOF
PET
CTR
machine learning
TOFPET2
light-sharing
url https://www.frontiersin.org/articles/10.3389/fphy.2025.1570925/full
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