The importance of accurate attenuation correction (AC) in positron emission tomography (PET) has been widely recognized. However AC based PET/CT or PET/MR suffers from several problems such as artifacts and noises. In this paper, we propose a novel method based on physics-driven Iteration Shrinkage-Thresholding Algorithm (PISTA) to achieve quantitative PET image reconstruction from raw sinogram data without AC. The PISTA utilizes system matrix which is used as geometry of projection between quantitative PET activity images and sinograms without AC, to generate the next updated quantitative PET activity images as the input of learnable part. An evaluation study on simulated phantom data is described, where experimental results have shown great promise for such strategy.
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