8 papers
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…
Wallpaper Group-Based Mechanical Metamaterials: Dataset Including Mechanical Responses
Fleur Hendriks, Vlado Menkovski, Martin DoškáŠ+3
Mechanical metamaterials often exhibit pattern transformations through instabilities, enabling applications in, e.g., soft robotics, sound reduction, and biomedicine. These transfo…
Robust Construction of Polycube Segmentations via Dual Loops
Maxim Snoep, Bettina Speckmann, Kevin Verbeek
Polycube segmentations for 3D models effectively support a wide variety of applications such as seamless texture mapping, spline fitting, structured multi-block grid generation, an…
Polycubes via Dual Loops
Maxim Snoep, Bettina Speckmann, Kevin Verbeek
In this paper we study polycubes: orthogonal polyhedra with axis-aligned quadrilateral faces. We present a complete characterization of polycubes of any genus based on their dual s…
A Framework for Algorithm Stability
Wouter Meulemans, Bettina Speckmann, Kevin Verbeek +1
We say that an algorithm is stable if small changes in the input result in small changes in the output. This kind of algorithm stability is particularly relevant when analyzing and…
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…