10 citations · 11 across the 6 of their papers we have counts for
4 papers · 1 filter
A Coupled Alpha Complex
Yohai Reani, Omer Bobrowski
The alpha complex is a subset of the Delaunay triangulation and is often used in computational geometry and topology. One of the main drawbacks of using the alpha complex is that i…
Poisson process approximation under stabilization and Palm coupling
Omer Bobrowski, Matthias Schulte, D. Yogeshwaran
We present new Poisson process approximation results for stabilizing functionals of Poisson and binomial point processes. These functionals are allowed to have an unbounded range o…
Joint Geometric and Topological Analysis of Hierarchical Datasets
Lior Aloni, Omer Bobrowski, Ronen Talmon
In a world abundant with diverse data arising from complex acquisition techniques, there is a growing need for new data analysis methods. In this paper we focus on high-dimensional…
Cycle Registration in Persistent Homology with Applications in Topological Bootstrap
Yohai Reani, Omer Bobrowski
In this article we propose a novel approach for comparing the persistent homology representations of two spaces (filtrations). Commonly used methods are based on numerical summarie…