Statistical Inference in Positron Emission Tomography
In this report, we investigate mathematical algorithms for image reconstruction in the context of positron emission tomography (a medical diagnosis technique). We first take inspiration from the physics of PET to design a mathematical model tailored to the problem. We think of positron emissions as an output of an indirectly observed Poisson process and formulate the link between the emissions and the scanner records through the Radon transform. This model allows us to express the image reconstruction in terms of a standard problem in statistical estimation from incomplete data. Then, we investigate different algorithms as well as stopping criterion, and compare their relative efficiency.
NEW_presentation_finale_optim.svg.svg
openaccess
8.12 MB
Unknown
f6e128355e5e78b998524e799b7f6b5d
Statistical Inference in Positron Emission Tomography-SIMEONI.pdf
openaccess
7.69 MB
Adobe PDF
9054c8413730601bdbdf09dc81880fc4