37 citations · 98 across the 9 of their papers we have counts for
3 papers · 1 filter
The Impact of Changes in Resolution on the Persistent Homology of Images
Teresa Heiss, Sarah Tymochko, Brittany Story +4
Digital images enable quantitative analysis of material properties at micro and macro length scales, but choosing an appropriate resolution when acquiring the image is challenging.…
Using Zigzag Persistent Homology to Detect Hopf Bifurcations in Dynamical Systems
Sarah Tymochko, Elizabeth Munch, Firas A. Khasawneh
Bifurcations in dynamical systems characterize qualitative changes in the system behavior. Therefore, their detection is important because they can signal the transition from norma…
Adaptive Partitioning for Template Functions on Persistence Diagrams
Sarah Tymochko, Elizabeth Munch, Firas A. Khasawneh
As the field of Topological Data Analysis continues to show success in theory and in applications, there has been increasing interest in using tools from this field with methods fo…