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EFFECT of PRIOR SMOOTHING on the CONVERGENCE of PROXIMAL ALGORITHMS for PET and SPECT RECONSTRUCTION

Porter, S; Deidda, D; Arridge, S; Thielemans, K; (2024) EFFECT of PRIOR SMOOTHING on the CONVERGENCE of PROXIMAL ALGORITHMS for PET and SPECT RECONSTRUCTION. In: Proceedings of the 2022 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC). IEEE: Italy. Green open access

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Abstract

Proximal-based optimisation algorithms have been developed to be able to handle nondifferentiable functions. They have been widely studied for image reconstruction and denoising with priors such as the popular Total Variation (TV). Relatively little work has been done in evaluating their convergence performance with smooth priors that are more commonly used in emission tomography. We investigated the effect of varying the magnitude of a smoothing parameter for one image-based and one anatomical-based TV-like prior on the convergence rate of two proximal and two gradient-based algorithms for PET and SPECT reconstruction. The results suggest that the smoothness of a prior has less effect on the convergence rate for proximal algorithms than gradient-based algorithms. As expected, a smoother function results in faster convergence for gradient-based algorithms. A smoother function results in a slightly decreased convergence rate for proximal algorithms. Over-smoothing of the function resulted in under-regularisation and the breakdown of convergence observations.

Type: Proceedings paper
Title: EFFECT of PRIOR SMOOTHING on the CONVERGENCE of PROXIMAL ALGORITHMS for PET and SPECT RECONSTRUCTION
Event: 2022 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC)
Dates: 5 Nov 2022 - 12 Nov 2022
ISBN-13: 9781665488723
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/NSS/MIC44845.2022.10399254
Publisher version: https://doi.org/10.1109/NSS/MIC44845.2022.10399254
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Smoothing methods, TV, Positron emission tomography, Single photon emission computed tomography, Image reconstruction, Optimization, Convergence
UCL classification: UCL
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Medical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Medical Sciences > Div of Medicine
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Med Phys and Biomedical Eng
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Medical Sciences > Div of Medicine > Department of Imaging
URI: https://discovery.ucl.ac.uk/id/eprint/10190208
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