Directional sinogram inpainting for limited angle tomography
View / Open Files
Authors
Leary, RK
Publication Date
2019-02Journal Title
Inverse Problems
ISSN
0266-5611
Publisher
IOP Publishing
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. We illustrate
the effectiveness of this approach with numerical experiments on two synthetic
datasets and one Electron Microscopy dataset.
Sponsorship
Cantab Capital Institute for the Mathematics of Information
PIHC innovation fund of the Technical Medical Centre of UT
Dutch 4TU programme Precision Medicine
Netherlands Organization for Scientific Research (NWO), project 639.073.506
Henslow Research Fellowship at Girton College, Cambridge
Clare College Junior Research Fellowship
Funder references
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))
Engineering and Physical Sciences Research Council (EP/M00483X/1)
Engineering and Physical Sciences Research Council (EP/N014588/1)
Engineering and Physical Sciences Research Council (EP/H023348/1)
Engineering and Physical Sciences Research Council (EP/J009539/1)
Leverhulme Trust (RPG-2015-250)
Leverhulme Trust (ECF-2016-611)
Engineering and Physical Sciences Research Council (EP/R008779/1)
Engineering and Physical Sciences Research Council (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
Statistics
Total file downloads (since January 2020). For more information on metrics see the
IRUS guide.