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 discriminate between cells of different types.
@article{arxiv.cond-mat/0507648,
title = {Extended morphometric analysis of neuronal cells with Minkowski valuations},
author = {C. Beisbart and M. S. Barbosa and H. Wagner and L. da F. Costa},
journal= {arXiv preprint arXiv:cond-mat/0507648},
year = {2009}
}