David L. Millman

activity

20242026

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3 papers · 1 filter

cs.CG2026

Parametric Shortest Paths in a Linearly Interpolated Graph

Jacob Sriraman, Eli Barton, Brittany Terese Fasy +6

We consider the parametric shortest paths problem in a linearly interpolated graph. Given two positively-weighted directed graphs $G_{0} = (V, E, I ¨ _{0})$ and $G_{1} = (V, E, I ¨ _{1}),$ the linearl…

cs.CG2024

How Small Can Faithful Sets Be? Ordering Topological Descriptors

Brittany Terese Fasy, David L. Millman, Anna Schenfisch

Recent developments in shape reconstruction and comparison call for the use of many different (topological) descriptor types, such as persistence diagrams and Euler characteristic…

cs.CG2024

A Faithful Discretization of the Verbose Persistent Homology Transform

Brittany Terese Fasy, Samuel Micka, David L. Millman +2

The persistent homology transform (PHT) represents a shape with a multiset of persistence diagrams parameterized by the sphere of directions in the ambient space. In this work, we…