Delaunay Bifiltrations of Functions on Point Clouds

Ángel Javier Alonso, Michael Kerber, Tung Lam +1

The Delaunay filtration ${\mathcal{D}}_{\bullet }(X)$ of a point cloud $X\subset {\mathbb{R}}^d$ is a central tool of computational topology. Its use is justified by the topological equ…