14 citations · 62 across the 20 of their papers we have counts for
27 papers
The Reeb Transform
Erin Chambers, Shankha Shubhra Mukherjee, Katharine Turner
Reeb Transforms offer a compact representation of how shapes in change when sliced along varying directions. We define the Reeb Transform as the family of Reeb graph…
Metric and Path-Connectedness Properties of the Frechet Distance for Paths and Graphs
Erin Chambers, Brittany Fasy, Benjamin Holmgren +2
The Frechet distance is often used to measure distances between paths, with applications in areas ranging from map matching to GPS trajectory analysis to handwriting recognition. M…
Bounding the Interleaving Distance for Mapper Graphs with a Loss Function
Erin W. Chambers, Elizabeth Munch, Sarah Percival +1
Data consisting of a graph with a function mapping into arise in many data applications, encompassing structures such as Reeb graphs, geometric graphs, and knot embe…
Comparing Embedded Graphs Using Average Branching Distance
Levent Batakci, Abigail Branson, Bryan Castillo +3
Graphs drawn in the plane are ubiquitous, arising from data sets through a variety of methods ranging from GIS analysis to image classification to shape analysis. A fundamental pro…
On Complexity of Computing Bottleneck and Lexicographic Optimal Cycles in a Homology Class
Erin Wolf Chambers, Salman Parsa, Hannah Schreiber
Homology features of spaces which appear in applications, for instance 3D meshes, are among the most important topological properties of these objects. Given a non-trivial cycle in…
Reeb Graph Metrics from the Ground Up
Brian Bollen, Erin Chambers, Joshua A. Levine +1
The Reeb graph has been utilized in various applications including the analysis of scalar fields. Recently, research has been focused on using topological signatures such as the Re…