Model-based Scatter Correction For Fully 3D PET

Abstract
A method,is presented that directly calculates the mean,number,of scattered coincidences in data acquired with fully 3D positron emission tomography,(PET). This method uses a transmission scan, an emission scan, the physics of Compton scatter, and a mathematical model of the scanner in a forward calculation of the number,of events for which one photon has undergone,a single Compton,interaction. The distribution of events for which,multiple Compton,interactions have occurred is modelled,as a linear transformation of the single-scatter distribution. Computational efficiency is achieved by sampling,at rates no higher than those required by the scatter distribution and by implementing,the algorithm using look-up tables. Evaluation studies in phantoms,with large scatter fractions show that the method,yields images with quantitative accuracy equivalent to that of slice-collimated PET in clinically useful times.

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