41 citations · 51 across the 6 of their papers we have counts for
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cs.GR2022★ 1 cited
Principal Geodesic Analysis of Merge Trees (and Persistence Diagrams)
Mathieu Pont, Jules Vidal, Julien Tierny
This paper presents a computational framework for the Principal Geodesic Analysis of merge trees (MT-PGA), a novel adaptation of the celebrated Principal Component Analysis (PCA) f…
cs.LG2022★ 2 cited
Discrete Morse Sandwich: Fast Computation of Persistence Diagrams for Scalar Data -- An Algorithm and A Benchmark
Pierre Guillou, Jules Vidal, Julien Tierny
This paper introduces an efficient algorithm for persistence diagram computation, given an input piecewise linear scalar field defined on a -dimensional simplicial complex $…