1 citations · 1 across the 3 of their papers we have counts for
9 papers
Delaunay triangulations of generalized Bolza surfaces
Matthijs Ebbens, Iordan Iordanov, Monique Teillaud +1
The Bolza surface can be seen as the quotient of the hyperbolic plane, represented by the Poincaré disk model, under the action of the group generated by the hyperbolic isometries…
Minimal Delaunay triangulations of hyperbolic surfaces
Matthijs Ebbens, Hugo Parlier, Gert Vegter
Motivated by recent work on Delaunay triangulations of hyperbolic surfaces, we consider the minimal number of vertices of such triangulations. First, we will show that every hyperb…
Persistent homology of the cosmic web. I: Hierarchical topology in CDM cosmologies
Georg Wilding, Keimpe Nevenzeel, Rien van de Weygaert +5
Using a set of CDM simulations of cosmic structure formation, we study the evolving connectivity and changing topological structure of the cosmic web using state-of-the-art tool…
Isotopic Arrangement of Simple Curves: an Exact Numerical Approach based on Subdivision
Jyh-Ming Lien, Vikram Sharma, Gert Vegter +1
This paper presents the first purely numerical (i.e., non-algebraic) subdivision algorithm for the isotopic approximation of a simple arrangement of curves. The arrangement is "sim…
Stochastic Homology of Gaussian vs. non-Gaussian Random Fields: Graphs towards Betti Numbers and Persistence Diagrams
Job Feldbrugge, Matti van Engelen, Rien van de Weygaert +2
The topology and geometry of random fields - in terms of the Euler characteristic and the Minkowski functionals - has received a lot of attention in the context of the Cosmic Micro…
Topology and Geometry of Gaussian random fields I: on Betti Numbers, Euler characteristic and Minkowski functionals
Pratyush Pranav, Rien van de Weygaert, Gert Vegter +6
This study presents a numerical analysis of the topology of a set of cosmologically interesting three-dimensional Gaussian random fields in terms of their Betti numbers , $β_1…