Ganguly, PS;
Lucka, F;
Hupkes, HJ;
Batenburg, KJ;
(2020)
Atomic Super-Resolution Tomography.
In:
Combinatorial Image Analysis.
(pp. pp. 45-61).
Springer: Cham, Switzerland.
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Abstract
We consider the problem of reconstructing a nanocrystal at atomic resolution from electron microscopy images taken at a few tilt angles. A popular reconstruction approach called discrete tomography confines the atom locations to a coarse spatial grid, which is inspired by the physical a priori knowledge that atoms in a crystalline solid tend to form regular lattices. Although this constraint has proven to be powerful for solving this very under-determined inverse problem in many cases, its key limitation is that, in practice, defects may occur that cause atoms to deviate from regular lattice positions. Here we propose a grid-free discrete tomography algorithm that allows for continuous deviations of the atom locations similar to super-resolution approaches for microscopy. The new formulation allows us to define atomic interaction potentials explicitly, which results in a both meaningful and powerful incorporation of the available physical a priori knowledge about the crystal’s properties. In computational experiments, we compare the proposed grid-free method to established grid-based approaches and show that our approach can indeed recover the atom positions more accurately for common lattice defects.
| Type: | Proceedings paper |
|---|---|
| Title: | Atomic Super-Resolution Tomography |
| Event: | International Workshop on Combinatorial Image Analysis (IWCIA 2020) |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/978-3-030-51002-2_4 |
| Publisher version: | https://doi.org/10.1007/978-3-030-51002-2_4 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Electron tomography, Discrete tomography, Mathematical super-resolution, Molecular dynamics, Crystallographic defects |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10109227 |
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