99 citations · 157 across the 39 of their papers we have counts for
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math.AT2023★ 2 cited
Generalized Morse Theory of Distance Functions to Surfaces for Persistent Homology
Anna Song, Ka Man Yim, Anthea Monod
This paper brings together three distinct theories with the goal of quantifying shape textures with complex morphologies. Distance fields are central objects in shape representatio…
math.AT2023★ 1 cited
Stability for Inference with Persistent Homology Rank Functions
Qiquan Wang, Inés García-Redondo, Pierre Faugère +2
Persistent homology barcodes and diagrams are a cornerstone of topological data analysis that capture the "shape" of a wide range of complex data structures, such as point clouds,…