36 citations · 42 across the 14 of their papers we have counts for
7 papers · 1 filter
SVarM: Linear Support Varifold Machines for Classification and Regression on Geometric Data
Emmanuel Hartman, Nicolas Charon
Despite progress in the rapidly developing field of geometric deep learning, performing statistical analysis on geometric data--where each observation is a shape such as a curve, g…
Self Supervised Networks for Learning Latent Space Representations of Human Body Scans and Motions
Emmanuel Hartman, Nicolas Charon, Martin Bauer
This paper introduces self-supervised neural network models to tackle several fundamental problems in the field of 3D human body analysis and processing. First, we propose VariShaP…
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…
BaRe-ESA: A Riemannian Framework for Unregistered Human Body Shapes
Emmanuel Hartman, Emery Pierson, Martin Bauer +2
We present Basis Restricted Elastic Shape Analysis (BaRe-ESA), a novel Riemannian framework for human body scan representation, interpolation and extrapolation. BaRe-ESA operates d…
Elastic shape analysis of surfaces with second-order Sobolev metrics: a comprehensive numerical framework
Emmanuel Hartman, Yashil Sukurdeep, Eric Klassen +2
This paper introduces a set of numerical methods for Riemannian shape analysis of 3D surfaces within the setting of invariant (elastic) second-order Sobolev metrics. More specifica…
Supervised deep learning of elastic SRV distances on the shape space of curves
Emmanuel Hartman, Yashil Sukurdeep, Nicolas Charon +2
Motivated by applications from computer vision to bioinformatics, the field of shape analysis deals with problems where one wants to analyze geometric objects, such as curves, whil…