Constructs a computable 3-parameter Delaunay trifiltration for bifunction point clouds with O(|X|^⌈(d+1)/2⌉+1) size, an O(|X|^⌈d/2⌉+2) algorithm, and experiments on thousands of R³ points.
Topological data analysis in time series: Temporal filtration and applica- tion to single-cell genomics.Algorithms, 15(10):371, October 2022
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Bifunction and Interlevel Delaunay Trifiltrations
Constructs a computable 3-parameter Delaunay trifiltration for bifunction point clouds with O(|X|^⌈(d+1)/2⌉+1) size, an O(|X|^⌈d/2⌉+2) algorithm, and experiments on thousands of R³ points.