26 citations · 61 across the 5 of their papers we have counts for
5 papers
Operations on Metric Thickenings
Henry Adams, Johnathan Bush, Joshua Mirth
Many simplicial complexes arising in practice have an associated metric space structure on the vertex set but not on the complex, e.g. the Vietoris-Rips complex in applied topology…
Representations of Energy Landscapes by Sublevelset Persistent Homology: An Example With n-Alkanes
Joshua Mirth, Yanqin Zhai, Johnathan Bush +8
Encoding the complex features of an energy landscape is a challenging task, and often chemists pursue the most salient features (minima and barriers) along a highly reduced space,…
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…
Metric thickenings of Euclidean submanifolds
Henry Adams, Joshua Mirth
Given a sample from an unknown manifold embedded in Euclidean space, it is possible to recover the homology groups of by building a Vietoris--Rips or Čech simplicial co…