The Medusa of Spatial Sorting: Topological Construction
Computational Geometry
2012-07-30 v1 Algebraic Topology
Cell Behavior
Quantitative Methods
Abstract
We consider the simultaneous movement of finitely many colored points in space, calling it a spatial sorting process. The name suggests a purpose that drives the collection to a configuration of increased or decreased order. Mapping such a process to a subset of space-time, we use persistent homology measurements of the time function to characterize the process topologically.
Keywords
Cite
@article{arxiv.1207.6474,
title = {The Medusa of Spatial Sorting: Topological Construction},
author = {Herbert Edelsbrunner and Carl-Philipp Heisenberg and Michael Kerber and Gabriel Krens},
journal= {arXiv preprint arXiv:1207.6474},
year = {2012}
}