Abstract
We consider the application of discrete tomography to the reconstruction of crystal lattices from electron microscopy images. The model that is commonly used in the literature to describe this problem assumes that the atoms lie in a strictly regular grid. In practice, this is often not the case. We propose a model that allows for nonregular atom positions. We describe a two-step method for reconstructing the atom positions and types. For the first step, we give an algorithm and evaluate its performance.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Gill, P.E., Murray, W., Wright, M.H.: Practical Optimization. Academic Press, London (1981)
Jinschek, J.R., Batenburg, K.J., Calderon, H., Van Dyck, D., Chen, F.-R., Kisielowski, C.: Prospects for bright field and dark field electron tomography on a discrete grid. Microscopy and Microanalysis 10(suppl. 3) (2004) (Cambridge Journals Online)
Herman, G.T., Kuba, A. (eds.): Discrete Tomography: Foundations, Algorithms and Applications. Birkhäuser, Boston (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Batenburg, K.J., Palenstijn, W.J. (2004). On the Reconstruction of Crystals Through Discrete Tomography. In: Klette, R., Žunić, J. (eds) Combinatorial Image Analysis. IWCIA 2004. Lecture Notes in Computer Science, vol 3322. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30503-3_2
Download citation
DOI: https://doi.org/10.1007/978-3-540-30503-3_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23942-0
Online ISBN: 978-3-540-30503-3
eBook Packages: Computer ScienceComputer Science (R0)