54 citations · 227 across the 23 of their papers we have counts for
24 papers
Untangling Force-Directed Layouts Using Persistent Homology
Bhavana Doppalapudi, Bei Wang, Paul Rosen
Force-directed layouts belong to a popular class of methods used to position nodes in a node-link diagram. However, they typically lack direct consideration of global structures, w…
Statistical Rendering for Visualization of Red Sea Eddy Simulation Data
Tushar M. Athawale, Alireza Entezari, Bei Wang +1
Analyzing the effects of ocean eddies is important in oceanology for gaining insights into transport of energy and biogeochemical particles. We present an application of statistica…
Uncertainty Visualization of 2D Morse Complex Ensembles Using Statistical Summary Maps
Tushar Athawale, Dan Maljovec, Chris R. Johnson +2
Morse complexes are gradient-based topological descriptors with close connections to Morse theory. They are widely applicable in scientific visualization as they serve as important…
Moduli Spaces of Morse Functions for Persistence
Michael J. Catanzaro, Justin Curry, Brittany Terese Fasy +5
We consider different notions of equivalence for Morse functions on the sphere in the context of persistent homology, and introduce new invariants to study these equivalence classe…
Probabilistic Convergence and Stability of Random Mapper Graphs
Adam Brown, Omer Bobrowski, Elizabeth Munch +1
We study the probabilistic convergence between the mapper graph and the Reeb graph of a topological space equipped with a continuous function $f: \mathbb{X} \rightarro…
A Structural Average of Labeled Merge Trees for Uncertainty Visualization
Lin Yan, Yusu Wang, Elizabeth Munch +2
Physical phenomena in science and engineering are frequently modeled using scalar fields. In scalar field topology, graph-based topological descriptors such as merge trees, contour…