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2021 | OriginalPaper | Chapter

Total Deep Variation for Noisy Exit Wave Reconstruction in Transmission Electron Microscopy

Authors : Thomas Pinetz, Erich Kobler, Christian Doberstein, Benjamin Berkels, Alexander Effland

Published in: Scale Space and Variational Methods in Computer Vision

Publisher: Springer International Publishing

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Abstract

Transmission electron microscopes (TEMs) are ubiquitous devices for high-resolution imaging on an atomic level. A key problem related to TEMs is the reconstruction of the exit wave, which is the electron signal at the exit plane of the examined specimen. Frequently, this reconstruction is cast as an ill-posed nonlinear inverse problem. In this work, we integrate the data-driven total deep variation regularizer to reconstruct the exit wave in this inverse problem. In several numerical experiments, the applicability of the proposed method is demonstrated for different materials.

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Literature
2.
go back to reference Buseck, P., Cowley, J., Eyring, L.: High-Resolution Transmission Electron Microscopy And Associated Techniques. Oxford University Press, Oxford (1989) Buseck, P., Cowley, J., Eyring, L.: High-Resolution Transmission Electron Microscopy And Associated Techniques. Oxford University Press, Oxford (1989)
4.
go back to reference Coene, W., Thust, A., Op de Beeck, M., Van Dyck, D.: Maximum-likelihood method for focus-variation image reconstruction in high resolution transmission electron microscopy. Ultramicroscopy 64(14), 109–135 (1996)CrossRef Coene, W., Thust, A., Op de Beeck, M., Van Dyck, D.: Maximum-likelihood method for focus-variation image reconstruction in high resolution transmission electron microscopy. Ultramicroscopy 64(14), 109–135 (1996)CrossRef
7.
go back to reference Ede, J.M., Peters, J.J., Sloan, J., Beanland, R.: Exit wavefunction reconstruction from single transmission electron micrographs with deep learning. arXiv (2020) Ede, J.M., Peters, J.J., Sloan, J., Beanland, R.: Exit wavefunction reconstruction from single transmission electron micrographs with deep learning. arXiv (2020)
11.
go back to reference He, K., Zhang, X., Ren, S., Su, J.: Delving deep into rectifiers:surpassing human-level performance on ImageNet classification. In: ICCV (2015) He, K., Zhang, X., Ren, S., Su, J.: Delving deep into rectifiers:surpassing human-level performance on ImageNet classification. In: ICCV (2015)
14.
go back to reference Kingma, D.P., Ba, J.L.: ADAM: a method for stochastic optimization. In: International Conference on Learning Representations (2015) Kingma, D.P., Ba, J.L.: ADAM: a method for stochastic optimization. In: International Conference on Learning Representations (2015)
17.
go back to reference Kobler, E., Effland, A., Kunisch, K., Pock, T.: Total deep variation: a stable regularizer for inverse problems. arXiv (2020) Kobler, E., Effland, A., Kunisch, K., Pock, T.: Total deep variation: a stable regularizer for inverse problems. arXiv (2020)
18.
go back to reference Kobler, E., Effland, A., Kunisch, K., Pock, T.: Total deep variation for linear inverse problems. In: CVPR (2020) Kobler, E., Effland, A., Kunisch, K., Pock, T.: Total deep variation for linear inverse problems. In: CVPR (2020)
21.
go back to reference Pinetz, T., Kobler, E., Pock, T., Effland, A.: Shared prior learning of energy-based models for image reconstruction. arXiv preprint arXiv:2011.06539 (2020) Pinetz, T., Kobler, E., Pock, T., Effland, A.: Shared prior learning of energy-based models for image reconstruction. arXiv preprint arXiv:​2011.​06539 (2020)
25.
go back to reference Zhang, R.: Making convolutional networks shift-invariant again. ICML. 97, 7324–7334 (2019) Zhang, R.: Making convolutional networks shift-invariant again. ICML. 97, 7324–7334 (2019)
Metadata
Title
Total Deep Variation for Noisy Exit Wave Reconstruction in Transmission Electron Microscopy
Authors
Thomas Pinetz
Erich Kobler
Christian Doberstein
Benjamin Berkels
Alexander Effland
Copyright Year
2021
DOI
https://doi.org/10.1007/978-3-030-75549-2_39

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