Reconstruction in Computerized Tomography using Entropy Regularization

Sammanfattning: Inverse problems are a class of problems that often appear in science. They canbe thought of as calculating the cause that corresponds to measured data, andit is the opposite (i.e. inverse) of a direct problem, where data is calculated froma known source. In Computerized Tomography (CT), which is an importantnon-invasive imaging method in medicine, inverse problems arise when wewant to reconstruct the inner structure of the physical body from indirectmeasurements. In this thesis we investigate dierent methods for CT imagereconstruction. We compare the reconstruction quality of using Entropy asa regularizer to Tikhonov- and Total Variation (TV) regularization and theanalytic Filtered Backprojection approach, and also investigate the sensitivityof entropy regularization with respect to priors.