3 papers
cs.CG2025
Locally Correct Interleavings between Merge Trees
Thijs Beurskens, Tim Ophelders, Bettina Speckmann +1
Temporal sequences of terrains arise in various application areas. To analyze them efficiently, one generally needs a suitable abstraction of the data as well as a method to compar…
cs.CG2025
ParkView: Visualizing Monotone Interleavings
Thijs Beurskens, Steven van den Broek, Arjen Simons +5
Merge trees are a powerful tool from topological data analysis that is frequently used to analyze scalar fields. The similarity between two merge trees can be captured by an interl…
cs.CG2025
Relating Interleaving and Fréchet Distances via Ordered Merge Trees
Thijs Beurskens, Tim Ophelders, Bettina Speckmann +1
Merge trees are a common topological descriptor for data with a hierarchical component, such as terrains and scalar fields. The interleaving distance, in turn, is a common distance…