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Reconstruction from Microscopic Projections with Defocus-Gradient and Attenuation Effects

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Computational Methods for Three-Dimensional Microscopy Reconstruction

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

Abstract

We discuss and illustrate defocus-gradient and attenuation effects that are part of the image formation models of microscopy of biological specimens. We demonstrate how they affect the projection data and in turn the 3D reconstructions. Biologically meaningful results can be obtained ignoring both of these effects, but using image processing techniques to incorporate corrections for them into reconstruction methods provides more accurate reconstructions, with potential for creating higher-resolution models of the biological specimens.

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Notes

  1. 1.

    http://www.helmholtz-berlin.de/.

  2. 2.

    http://www-als.lbl.gov/.

  3. 3.

    https://www.cells.es/Beamlines/XM/.

  4. 4.

    https://www.cells.es/Beamlines/XM/.

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Acknowledgements

The work presented here is currently supported by the National Science Foundation award number DMS-1114901.

The authors would like to thank Joaquín Otón, José-María Carazo, Carlos Óscar Sánchez Sorzano, and Roberto Marabini for helpful discussions on microscopy and Roberto Marabini and Joachim Frank for comments on this manuscript.

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Authors and Affiliations

  1. Department of Computer Science, The Graduate Center, City University of New York, New York, NY, USA

    Joanna Klukowska & Gabor T. Herman

Authors
  1. Joanna Klukowska
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  2. Gabor T. Herman
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Corresponding author

Correspondence to Joanna Klukowska .

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Editors and Affiliations

  1. Department of Computer Science, The Graduate Center City University of New York, New York, New York, USA

    Gabor T. Herman

  2. Department of Biology, Biochemistry and Molecular Biophysics, Columbia University, New York, New York, USA

    Joachim Frank

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Klukowska, J., Herman, G.T. (2014). Reconstruction from Microscopic Projections with Defocus-Gradient and Attenuation Effects. In: Herman, G., Frank, J. (eds) Computational Methods for Three-Dimensional Microscopy Reconstruction. Applied and Numerical Harmonic Analysis. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4614-9521-5_7

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