Extended morphometric analysis of neuronal cells with Minkowski valuations

The European Physical Journal B - Condensed Matter and Complex Systems volume 52, pages531–546(2006)Cite this article

Abstract.

Minkowski valuations provide a systematic framework for quantifying different aspects of morphology. In this paper we apply vector- and tensor-valued Minkowski valuations to neuronal cells from the cat's retina in order to describe their morphological structure in a comprehensive way. We introduce the framework of Minkowski valuations, discuss their implementation for neuronal cells and show how they can be used to characterize cells of different morphological categories. We also provide a comparison to a Sholl analysis.

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Author information

Affiliations

  1. Faculty 14, University of Dortmund, 44221, Dortmund, Germany

    C. Beisbart

  2. Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität, Theresienstraße 37, 80333, München, Germany

    C. Beisbart & H. Wagner

  3. Cybernetic Vision Research Group, DFI-IFSC, Universidade de São Paulo, Caixa Postal 369, São Carlos, SP, 13560-970, Brazil

    M. S. Barbosa & L. da F. Costa

Authors
  1. C. Beisbart
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  2. M. S. Barbosa
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  3. H. Wagner
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  4. L. da F. Costa
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Correspondence to C. Beisbart.

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Beisbart, C., Barbosa, M., Wagner, H. et al. Extended morphometric analysis of neuronal cells with Minkowski valuations. Eur. Phys. J. B 52, 531–546 (2006). https://doi.org/10.1140/epjb/e2006-00328-1

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PACS.

  • 07.05.Kf Data analysis: algorithms and implementation; data management
  • 87.19.La Neuroscience
  • 02.40.Ft Convex sets and geometric inequalities