120 citations · 148 across the 18 of their papers we have counts for
3 papers · 1 filter
Simplicial subdivision of simplices of arbitrary dimension in spaces of constant curvature with bounded quality
Jean-Daniel Boissonnat, Hana Dal Poz Kourimska, Arijit Ghosh +1
In 1942, Freudenthal showed that a simplex in Euclidean space can be subdivided such that the quality (well-shapedness of the simplex, quantified in terms of e.g. fatness) of the s…
Generalized altitudes and their bounds
Hana Dal Poz Kourimska, Mathijs Wintraecken
We introduce generalized altitudes of a simplex, extending the usual vertex-to-opposite-face altitude to arbitrary pairs of opposite faces. These quantities encode the relative pos…
The Singular Source of Vineyard Monodromy
Erin W. Chambers, Christopher Fillmore, Shankha Shubhra Mukherjee +3
Vineyards, or time-varying families of persistence diagrams, are widely used in topological data analysis (TDA) pipelines to track how topological features change and evolve as a p…