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arXiv · 1207.6474

The Medusa of Spatial Sorting: Topological Construction

Herbert Edelsbrunner·Carl-Philipp Heisenberg·Michael Kerber·Gabriel Krens
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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.

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Herbert Edelsbrunner, Carl-Philipp Heisenberg, Michael Kerber, Gabriel Krens. 2012-07-27. The Medusa of Spatial Sorting: Topological Construction. https://arxiv.org/abs/1207.6474

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