Directional sinogram inpainting for limited angle tomography
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Authors
Collins, Sean
Leary, RK
Publication Date
2019-02-01Journal Title
Inverse Problems
ISSN
0266-5611
Publisher
IoP
Volume
35
Issue
2
Type
Article
Metadata
Show full item recordCitation
Tovey, R., Benning, M., Brune, C., Lagerwerf, M., Collins, S., Leary, R., Midgley, P., & et al. (2019). Directional sinogram inpainting for limited angle tomography. Inverse Problems, 35 (2)https://doi.org/10.1088/1361-6420/aaf2fe
Abstract
In this paper we propose a new joint model for the reconstruction of tomography data under limited angle sampling regimes. In many applications of Tomography, e.g. Electron Microscopy and Mammography, physical limitations on acquisition lead to regions of data which cannot be sampled. Depending on the severity of the restriction, reconstructions can contain severe, characteristic, artefacts. Our model aims to address these artefacts by inpainting the missing data simultaneously with the reconstruction. Numerically, this problem naturally evolves to require the minimisation of a non-convex and non-smooth functional so we review recent work in this topic and extend results to fit an alternating (block) descent framework. \oldtext{We illustrate the effectiveness of this approach with numerical experiments on two synthetic datasets and one Electron Microscopy dataset.} \newtext{We perform numerical experiments on two synthetic datasets and one Electron Microscopy dataset. Our results show consistently that the joint inpainting and reconstruction framework can recover cleaner and more accurate structural information than the current state of the art methods.
Sponsorship
European Commission Horizon 2020 (H2020) Marie Sk?odowska-Curie actions (691070)
European Commission Horizon 2020 (H2020) Marie Sk?odowska-Curie actions (777826)
Alan Turing Institute (unknown)
Isaac Newton Trust (1608(aj))
EPSRC (EP/M00483X/1)
EPSRC (EP/N014588/1)
EPSRC (EP/H023348/1)
EPSRC (EP/J009539/1)
Leverhulme Trust (RPG-2015-250)
Leverhulme Trust (ECF-2016-611)
EPSRC (EP/R008779/1)
EPSRC (EP/L016516/1)
Identifiers
External DOI: https://doi.org/10.1088/1361-6420/aaf2fe
This record's URL: https://www.repository.cam.ac.uk/handle/1810/279424