36 citations · 42 across the 14 of their papers we have counts for
3 papers · 1 filter
Basis restricted elastic shape analysis on the space of unregistered surfaces
Emmanuel Hartman, Emery Pierson, Martin Bauer +2
This paper introduces a new mathematical and numerical framework for surface analysis derived from the general setting of elastic Riemannian metrics on shape spaces. Traditionally,…
VariGrad: A Novel Feature Vector Architecture for Geometric Deep Learning on Unregistered Data
Emmanuel Hartman, Emery Pierson
We present a novel geometric deep learning layer that leverages the varifold gradient (VariGrad) to compute feature vector representations of 3D geometric data. These feature vecto…
Square Root Normal Fields for Lipschitz surfaces and the Wasserstein Fisher Rao metric
Emmanuel Hartman, Martin Bauer, Eric Klassen
The Square Root Normal Field (SRNF) framework is a method in the area of shape analysis that defines a (pseudo) distance between unparametrized surfaces. For piecewise linear (PL)…