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math.ST2013
Persistent Homology Transform for Modeling Shapes and Surfaces
Katharine Turner, Sayan Mukherjee, Doug M Boyer
In this paper we introduce a statistic, the persistent homology transform (PHT), to model surfaces in and shapes in . This statistic is a collection of…
math.ST2013
Medians of populations of persistence diagrams
Katharine Turner
Persistence diagrams are common objects in the field of Topological Data Analysis. They are topological summaries that capture both topological and geometric structure within data.…