Extended morphometric analysis of neuronal cells with Minkowski valuations

TL;DR

This paper introduces Minkowski valuations as a comprehensive method to quantify and differentiate neuronal cell morphologies, demonstrated on cat retinal cells.

Contribution

It applies vector- and tensor-valued Minkowski valuations to neuronal cells, providing a new systematic framework for morphological analysis.

Findings

Minkowski valuations effectively discriminate between different neuronal cell types.

The framework offers a comprehensive morphological description.

Implementation details for applying Minkowski valuations to neuronal data.

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 discriminate between cells of different types.