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07/31/2019
A Structural Average of Labeled Merge Trees for Uncertainty Visualization
Physical phenomena in science and engineering are frequently modeled usi...
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07/31/2019
Intrinsic Interleaving Distance for Merge Trees
Merge trees are a type of graph-based topological summary that tracks th...
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03/20/2019
Local Versus Global Distances for Zigzag Persistence Modules
This short note establishes explicit and broadly applicable relationship...
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12/13/2018
The Relationship Between the Intrinsic Cech and Persistence Distortion Distances for Metric Graphs
Metric graphs are meaningful objects for modeling complex structures tha...
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12/18/2017
Vietoris-Rips and Cech Complexes of Metric Gluings
We study Vietoris-Rips and Cech complexes of metric wedge sums and metri...
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06/12/2017
Modeling Multi-Object Configurations via Medial/Skeletal Linking Structures
We introduce a method for modeling a configuration of objects in 2D or 3...
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06/01/2017
Shape and Positional Geometry of Multi-Object Configurations
In previous work, we introduced a method for modeling a configuration of...
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10/13/2014