A New Variational Approach for Limited Angle TomographyMS62

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) .

Rob Tovey (University of Cambridge)
Rien Lagerwerf (Centrum Wiskunde & Informatica)
Christoph Brune (University of Twente)
Martin Benning (University of Cambridge)
Carola-Bibiane Schönlieb (University of Cambridge)
computed tomography, image inpainting, image reconstruction, inverse problems, nonconvex optimization, nonlinear optimization