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Atomic Super-Resolution Tomography

Ganguly, PS; Lucka, F; Hupkes, HJ; Batenburg, KJ; (2020) Atomic Super-Resolution Tomography. In: Combinatorial Image Analysis. (pp. pp. 45-61). Springer: Cham, Switzerland. Green open access

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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
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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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