Ángel Javier Alonso

activity

20232026

collaborators

4 papers

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…

math.AT2024

Probabilistic Analysis of Multiparameter Persistence Decompositions

Ángel Javier Alonso, Michael Kerber, Primoz Skraba

Multiparameter persistence modules can be uniquely decomposed into indecomposable summands. Among these indecomposables, intervals stand out for their simplicity, making them prefe…

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…