Vietoris–Rips Complexes of Planar Point Sets
✍ Scribed by Erin W. Chambers; Vin de Silva; Jeff Erickson; Robert Ghrist
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 506 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0179-5376
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this article, we introduce a mathematical formalism de"ning the shape of a "nite point set which we call A-shape. The parameter A is a "nite set of points which positions variation allows A-shape to generate a family of graphs extracted from Delaunay triangulation. Each graph corresponds to an el
An algorithm is described to determine the minimum area polar set of a planar convex polygon described in terms of its vertices. We adopt a result due to Santalo to verify our minimizing solution, and then demonstrate the search procedure on a few examples. 'For triangular (and centrally symmetric)