Estimating Uncertainty in PET Image Reconstruction via Deep Posterior Sampling

• URL: http://arxiv.org/abs/2306.04664v1
• Date: Wed, 7 Jun 2023 10:04:16 GMT
• Title: Estimating Uncertainty in PET Image Reconstruction via Deep Posterior Sampling
• Authors: Tin Vla\v{s}i\'c, Tomislav Matuli\'c and Damir Ser\v{s}i\'c
• Abstract summary: The vast majority of reconstruction methods in PET imaging, both iterative and deep learning, return a single estimate without quantifying the associated uncertainty. This paper proposes a deep learning-based method for uncertainty in PET image reconstruction via posterior sampling. We show that the proposed model generates high-quality posterior samples and yields physically-meaningful uncertainty estimates.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Positron emission tomography (PET) is an important functional medical imaging technique often used in the evaluation of certain brain disorders, whose reconstruction problem is ill-posed. The vast majority of reconstruction methods in PET imaging, both iterative and deep learning, return a single estimate without quantifying the associated uncertainty. Due to ill-posedness and noise, a single solution can be misleading or inaccurate. Thus, providing a measure of uncertainty in PET image reconstruction can help medical practitioners in making critical decisions. This paper proposes a deep learning-based method for uncertainty quantification in PET image reconstruction via posterior sampling. The method is based on training a conditional generative adversarial network whose generator approximates sampling from the posterior in Bayesian inversion. The generator is conditioned on reconstruction from a low-dose PET scan obtained by a conventional reconstruction method and a high-quality magnetic resonance image and learned to estimate a corresponding standard-dose PET scan reconstruction. We show that the proposed model generates high-quality posterior samples and yields physically-meaningful uncertainty estimates.

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