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Image reconstruction in dynamic inverse problems with temporal models |
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| Author: | Hauptmann, Andreas1,2; Öktem, Ozan3,4; Schönlieb, Carola5 |
| Organizations: |
1University of Oulu, Research Unit of Mathematical Sciences, Oulu, Finland 2University College London, Department of Computer Science, London, United Kingdom 3Department of Mathematics, KTH - Royal Institute of Technology, Stockholm, Sweden
4Department of Information Technology, Division of Scientific Computing, Uppsala University, Uppsala, Sweden
5Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge UK |
| Format: | article |
| Version: | accepted version |
| Access: | embargoed |
| Persistent link: | http://urn.fi/urn:nbn:fi-fe2021122262999 |
| Language: | English |
| Published: |
Springer,
2021
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| Publish Date: | 2023-12-08 |
| Description: |
AbstractThis paper surveys variational approaches for image reconstruction in dynamic inverse problems. Emphasis is on variational methods that rely on parametrized temporal models. These are encoded here as diffeomorphic deformations with time-dependent parameters or as motion-constrained reconstructions where the motion model is given by a differential equation. The survey also includes recent developments in integrating deep learning for solving these computationally demanding variational methods. Examples are given for 2D dynamic tomography, but methods apply to general inverse problems. see all
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| ISBN: | 978-3-030-03009-4 |
| Pages: | 1 - 31 |
| DOI: | 10.1007/978-3-030-03009-4_83-1 |
| OADOI: | https://oadoi.org/10.1007/978-3-030-03009-4_83-1 |
| Host publication: |
Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging |
| Host publication editor: |
Chen, Ke Schönlieb, Carola-Bibiane Tai, Xue-Cheng Younces, Laurent |
| Type of Publication: |
A3 Book chapter |
| Field of Science: |
111 Mathematics 113 Computer and information sciences |
| Subjects: | |
| Copyright information: |
© 2021 Springer. This is a post-peer-review, pre-copyedit version of an article published in Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging. The final authenticated version is available online at https://doi.org/10.1007/978-3-030-03009-4_83-1. |