17 citations · 19 across the 6 of their papers we have counts for
4 papers · 1 filter
The persistent homology of cyclic graphs
Henry Adams, Ethan Coldren, Sean Willmot
We give an algorithm for computing the -dimensional persistent homology of a filtration of clique complexes of cyclic graphs on vertices. This is nearly q…
A torus model for optical flow
Henry Adams, Johnathan Bush, Brittany Carr +2
We propose a torus model for high-contrast patches of optical flow. Our model is derived from a database of ground-truth optical flow from the computer-generated video \emph{Sintel…
A fractal dimension for measures via persistent homology
Henry Adams, Manuchehr Aminian, Elin Farnell +6
We use persistent homology in order to define a family of fractal dimensions, denoted for each homological dimension , assigned to a proba…
Vietoris-Rips Complexes of Regular Polygons
Henry Adams, Samir Chowdhury, Adam Quinn Jaffe +1
Persistent homology has emerged as a novel tool for data analysis in the past two decades. However, there are still very few shapes or even manifolds whose persistent homology barc…