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math.AT2023
Planar Symmetry Detection and Quantification using the Extended Persistent Homology Transform
Nicholas Bermingham, Vanessa Robins, Katharine Turner
Symmetry is ubiquitous throughout nature and can often give great insights into the formation, structure and stability of objects studied by mathematicians, physicists, chemists an…
math.AT2022★ 1 cited
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…