146 citations · 344 across the 20 of their papers we have counts for
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cs.CG2026
The Reeb Transform
Erin Chambers, Shankha Shubhra Mukherjee, Katharine Turner
Reeb Transforms offer a compact representation of how shapes in change when sliced along varying directions. We define the Reeb Transform as the family of Reeb graph…
cs.CG2019★ 9 cited
Intrinsic Interleaving Distance for Merge Trees
Ellen Gasparovic, Elizabeth Munch, Steve Oudot +3
Merge trees are a type of graph-based topological summary that tracks the evolution of connected components in the sublevel sets of scalar functions. They enjoy widespread applicat…
cs.CG2011
Cone fields and topological sampling in manifolds with bounded curvature
Katharine Turner
Often noisy point clouds are given as an approximation of a particular compact set of interest. A finite point cloud is a compact set. This paper proves a reconstruction theorem wh…