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arXiv · 1209.5434

The Medusa of Spatial Sorting: 3D Kinetic Alpha Complexes and Implementation

Michael Kerber·Herbert Edelsbrunner
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Abstract

Motivated by an application in cell biology, we consider spatial sorting processes defined by particles moving from an initial to a final configuration. We describe an algorithm for constructing a cell complex in space-time, called the medusa, that measures topological properties of the sorting process. The algorithm requires an extension of the kinetic data structures framework from Delaunay triangulations to fixed-radius alpha complexes. We report on several techniques to accelerate the computation.

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Michael Kerber, Herbert Edelsbrunner. 2012-09-24. The Medusa of Spatial Sorting: 3D Kinetic Alpha Complexes and Implementation. https://arxiv.org/abs/1209.5434

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