11 citations · 26 across the 6 of their papers we have counts for
4 papers · 1 filter
A Faithful Discretization of Verbose Directional Transforms
Brittany Terese Fasy, Samuel Micka, David L. Millman +2
The persistent homology transform, Betti function transform, and Euler characteristic transform represent a shape with a multiset of persistence diagrams, Betti functions, or Euler…
Reconstructing Embedded Graphs from Persistence Diagrams
Robin Lynne Belton, Brittany Terese Fasy, Rostik Mertz +6
The persistence diagram (PD) is an increasingly popular topological descriptor. By encoding the size and prominence of topological features at varying scales, the PD provides impor…
Challenges in Reconstructing Shapes from Euler Characteristic Curves
Brittany Terese Fasy, Samuel Micka, David L. Millman +2
Shape recognition and classification is a problem with a wide variety of applications. Several recent works have demonstrated that topological descriptors can be used as summaries…
Learning Simplicial Complexes from Persistence Diagrams
Robin Lynne Belton, Brittany Terese Fasy, Rostik Mertz +6
Topological Data Analysis (TDA) studies the shape of data. A common topological descriptor is the persistence diagram, which encodes topological features in a topological space at…