110 citations · 163 across the 22 of their papers we have counts for
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math.AT2018★ 1 cited
When Left and Right Turns Inside Out: A Geometric and Categorical Introduction to an Inverse Problem in Persistence
Justin Curry
In this paper we introduce the problem of counting embedded spheres in R^3 whose projection to the z-axis yields a level set barcode of a particular type. Two embedded spheres are…
math.AT2018★ 5 cited
How Many Directions Determine a Shape and other Sufficiency Results for Two Topological Transforms
Justin Curry, Sayan Mukherjee, Katharine Turner
In this paper we consider two topological transforms that are popular in applied topology: the Persistent Homology Transform (PHT) and the Euler Characteristic Transform (ECT). Bot…