45 citations · 95 across the 14 of their papers we have counts for
5 papers · 1 filter
Delaunay-Rips filtration: a study and an algorithm
Mattéo Clémot, Julie Digne, Julien Tierny
The Delaunay-Rips filtration is a lighter and faster alternative to the well-known Rips filtration for low-dimensional Euclidean point clouds, making it a promising tool for topolo…
Topological Autoencoders++: Fast and Accurate Cycle-Aware Dimensionality Reduction
Mattéo Clémot, Julie Digne, Julien Tierny
This paper presents a novel topology-aware dimensionality reduction approach aiming at accurately visualizing the cyclic patterns present in high dimensional data. To that end, we…
Arbitrary order principal directions and how to compute them
Julie Digne, Sébastien Valette, Raphaëlle Chaine +1
Curvature principal directions on geometric surfaces are a ubiquitous concept of Geometry Processing techniques. However they only account for order 2 differential quantities, obli…
Baseline Skinning for Point Sets of Articulated Bodies
Tong Fu, Raphaëlle Chaine, Julie Digne
General skinning techniques aim to deform the surface of an articulated model following the pose change of a skeleton. Their rapidity makes them ideal tools for real-time animation…
Sparse Geometric Representation Through Local Shape Probing
Julie Digne, Sébastien Valette, Raphaëlle Chaine
We propose a new shape analysis approach based on the non-local analysis of local shape variations. Our method relies on a novel description of shape variations, called Local Probi…