Ángel Javier Alonso

activity

20232026

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cs.CG2026

Bifunction and Interlevel Delaunay Trifiltrations

Ángel Javier Alonso, Michael Kerber, Tung Lam +2

A key property of the Delaunay filtration is that it is topologically (i.e., weakly) equivalent to the offset (union-of-balls) filtration. Recently, this filtration has been extend…

cs.CG2024

A Sparse Multicover Bifiltration of Linear Size

Ángel Javier Alonso

The $k$ -cover of a point cloud $X$ in $R^{d}$ at radius $r$ is the set of all points within distance $r$ of at least $k$ points of $X$ . By varying $r$ and $k$ we obtain a…

cs.CG2023

Delaunay Bifiltrations of Functions on Point Clouds

Ángel Javier Alonso, Michael Kerber, Tung Lam +1

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