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Open AccessArticle

Real-Time 3D PET Image with Pseudoinverse Reconstruction

Nuclear Physics Group and IPARCOS, Faculty of Physical Sciences, University Complutense of Madrid, CEI Moncloa, 28040 Madrid, Spain
Health Research Institute of the Hospital Clinico San Carlos (IdISSC), 28040 Madrid, Spain
QIMP Team, Center for Medical Physics and Biomedical Engineering, Medical University of Vienna, 1090 Vienna, Austria
Departamento de Bioingeniería e Ingeniería Aeroespacial, Universidad Carlos III de Madrid, 28911 Leganés (Madrid), Spain
Instituto de Investigación Sanitaria Gregorio Marañón, 28007 Madrid, Spain
Centro Nacional de Investigaciones Cardiovasculares Carlos III (CNIC), 28029 Madrid, Spain
Centro de Investigación Biomédica en Red de Salud Mental (CIBERSAM), 28029 Madrid, Spain
Authors to whom correspondence should be addressed.
Appl. Sci. 2020, 10(8), 2829;
Received: 24 March 2020 / Revised: 14 April 2020 / Accepted: 16 April 2020 / Published: 19 April 2020
Real-time positron emission tomography (PET) may provide information from first-shot images, enable PET-guided biopsies, and allow awake animal studies. Fully-3D iterative reconstructions yield the best images in PET, but they are too slow for real-time imaging. Analytical methods such as Fourier back projection (FBP) are very fast, but yield images of poor quality with artifacts due to noise or data incompleteness. In this work, an image reconstruction based on the pseudoinverse of the system response matrix (SRM) is presented. w. To implement the pseudoinverse method, the reconstruction problem is separated into two stages. First, the axial part of the SRM is pseudo-inverted (PINV) to rebin the 3D data into 2D datasets. Then, the resulting 2D slices can be reconstructed with analytical methods or by applying the pseudoinverse algorithm again. The proposed two-step PINV reconstruction yielded good-quality images at a rate of several frames per second, compatible with real time applications. Furthermore, extremely fast direct PINV reconstruction of projections of the 3D image collapsed along specific directions can be implemented. View Full-Text
Keywords: positron emission tomography; rebinning; real-time; image reconstruction; system matrix; pseudoinverse positron emission tomography; rebinning; real-time; image reconstruction; system matrix; pseudoinverse
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López-Montes, A.; Galve, P.; Udias, J.M.; Cal-González, J.; Vaquero, J.J.; Desco, M.; Herraiz, J.L. Real-Time 3D PET Image with Pseudoinverse Reconstruction. Appl. Sci. 2020, 10, 2829.

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