114 citations · 340 across the 19 of their papers we have counts for
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cs.CG2020★ 4 cited
Computing Persistent Homology with Various Coefficient Fields in a Single Pass
Jean-Daniel Boissonnat, Clément Maria
This article introduces an algorithm to compute the persistent homology of a filtered complex with various coefficient fields in a single matrix reduction. The algorithm is output-…
cs.CG2020★ 68 cited
The Simplex Tree: an Efficient Data Structure for General Simplicial Complexes
Jean-Daniel Boissonnat, Clément Maria
This paper introduces a data structure, called simplex tree, to represent abstract simplicial complexes of any dimension. All faces of the simplicial complex are explicitly stored…