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The limited angle problem in Computed Tomography is unavoidable and results in severely ill-posed inverse problems with strong reconstruction artefacts. We propose a joint approach which simultaneously refines our estimate for the missing data and the desired reconstruction to minimise these artefacts. Such a model naturally leads us to consider non-linear constraints and non-convex, non-smooth optimisation. We shall review and extend recent results in this area for practical implementation.
This presentation is part of Minisymposium “MS62 - Imaging models with non-linear constraints (2 parts)”
organized by: Tuomo Valkonen (University of Liverpool) , Juan Carlos De Los Reyes (Escuela Politécnica Nacional) .