Skip to main content

On the Reconstruction of Crystals Through Discrete Tomography

  • Conference paper
Book cover Combinatorial Image Analysis (IWCIA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3322))

Included in the following conference series:

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Gill, P.E., Murray, W., Wright, M.H.: Practical Optimization. Academic Press, London (1981)

    MATH  Google Scholar 

  2. 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. Herman, G.T., Kuba, A. (eds.): Discrete Tomography: Foundations, Algorithms and Applications. Birkhäuser, Boston (1999)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints 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)

Publish with us

Policies and ethics