A novel weighted least squares PET image reconstruction method using adaptive variable index sets

In this paper, we present a novel image reconstruction method based on weighted least squares (WLS) objective function for positron emission tomography (PET). Unlike a usual WLS algorithm, the proposed method, which we call it SA-WLS, combines the SAGE algorithm with WLS algorithm. It minimized the WLS objective function using single coordinate descent (SCD) method in a sequence of small ''hidden'' data spaces (HDS). Although SA-WLS used a...