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The Extended Persistent Homology Transform of manifolds with boundary
Katharine Turner, Vanessa Robins, James Morgan
The Extended Persistent Homology Transform (XPHT) is a topological transform which takes as input a shape embedded in Euclidean space, and to each unit vector assigns the extended…
math.AT2022
Quantifying the homology of periodic cell complexes
Adam Onus, Vanessa Robins
A periodic cell complex, , has a finite representation as the quotient space, , consisting of equivalence classes of cells identified under the translation group acting on…