https://doi.org/10.1140/epjb/e2006-00328-1
Extended morphometric analysis of neuronal cells with Minkowski valuations
1
Faculty 14, University of Dortmund, 44221 Dortmund, Germany
2
Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität, Theresienstraße 37, 80333 München, Germany
3
Cybernetic Vision Research Group, DFI-IFSC, Universidade de São Paulo, Caixa Postal 369, São Carlos, SP, 13560-970, Brazil
Corresponding author: a claus.beisbart@physik.uni-muenchen.de
Received:
27
July
2005
Revised:
11
July
2006
Published online:
21
August
2006
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.
PACS: 07.05.Kf – Data analysis: algorithms and implementation; data management / 87.19.La – Neuroscience / 02.40.Ft – Convex sets and geometric inequalities
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006
