Abstract
Imaging is omnipresent in modern society with imaging devices based on a zoo of physical principles, probing a specimen across different wavelengths, energies and time. Recent years have seen a change in the imaging landscape with more and more imaging devices combining that which previously was used separately. Motivated by these hardware developments, an ever increasing set of mathematical ideas is appearing regarding how data from different imaging modalities or channels can be synergistically combined in the image reconstruction process, exploiting structural and/or functional correlations between the multiple images. Here we review these developments, give pointers to important challenges and provide an outlook as to how the field may develop in the forthcoming years. This article is part of the theme issue 'Synergistic tomographic image reconstruction: part 1'.
| Original language | English |
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| Pages (from-to) | 20200205 |
| Journal | Philosophical transactions. Series A, Mathematical, physical, and engineering sciences |
| Volume | 379 |
| Issue number | 2200 |
| Early online date | 10 May 2021 |
| DOIs | |
| Publication status | Published - 28 Jun 2021 |
Funding
Data accessibility. This article has no additional data. Authors’ contributions. All authors contributed equally to writing the manuscript. Competing interests. We declare we have no competing interests. Funding. This work was funded by the Computational Collaborative Project in Synergistic PET-MR Reconstruction, CCP PET-MR, UK EPSRC grant no. EP/M022587/1; its associated Software Flagship project EPSRC grant no. EP/P022200/1 and the Computational Collaborative Project in Synergistic Reconstruction for Biomedical Imaging, CCP SyneRBI, UK EPSRC grant no. EP/T026693/1. MJE acknowledges support from the EPSRC (grant nos. EP/S026045/1, EP/T026693/1), the Faraday Institution (grant no. EP/T007745/1) and the Leverhulme Trust (grant no. ECF-2019-478). Acknowledgements. We thank our many colleagues and students, who are too numerous to mention individually, for interesting and stimulating discussions over the years.