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On the Reconstruction of Crystals Through Discrete Tomography

  • K. J. Batenburg
  • W. J. Palenstijn
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3322)

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.

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References

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    Gill, P.E., Murray, W., Wright, M.H.: Practical Optimization. Academic Press, London (1981)zbMATHGoogle Scholar
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    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)Google Scholar
  3. 3.
    Herman, G.T., Kuba, A. (eds.): Discrete Tomography: Foundations, Algorithms and Applications. Birkhäuser, Boston (1999)zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • K. J. Batenburg
    • 1
    • 2
  • W. J. Palenstijn
    • 1
  1. 1.Leiden UniversityLeidenThe Netherlands
  2. 2.CWIAmsterdamThe Netherlands

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