122 citations · 234 across the 29 of their papers we have counts for
6 papers · 1 filter
On length measures of planar closed curves and the comparison of convex shapes
Nicolas Charon, Thomas Pierron
In this paper, we revisit the notion of length measures associated to planar closed curves. These are a special case of area measures of hypersurfaces which were introduced early o…
Multi-speaker Emotion Conversion via Latent Variable Regularization and a Chained Encoder-Decoder-Predictor Network
Ravi Shankar, Hsi-Wei Hsieh, Nicolas Charon +1
We propose a novel method for emotion conversion in speech based on a chained encoder-decoder-predictor neural network architecture. The encoder constructs a latent embedding of th…
A numerical framework for elastic surface matching, comparison, and interpolation
Martin Bauer, Nicolas Charon, Philipp Harms +1
Surface comparison and matching is a challenging problem in computer vision. While reparametrization-invariant Sobolev metrics provide meaningful elastic distances and point corres…
Intrinsic Riemannian metrics on spaces of curves: theory and computation
Martin Bauer, Nicolas Charon, Eric Klassen +1
This chapter reviews some past and recent developments in shape comparison and analysis of curves based on the computation of intrinsic Riemannian metrics on the space of curves mo…
Mechanistic Modeling of Longitudinal Shape Changes: equations of motion and inverse problems
Dai-Ni Hsieh, Sylvain Arguillère, Nicolas Charon +1
This paper examines a longitudinal shape evolution model in which a 3D volume progresses through a family of elastic equilibria in response to the time-derivative of an internal fo…
An inexact matching approach for the comparison of plane curves with general elastic metrics
Yashil Sukurdeep, Martin Bauer, Nicolas Charon
This paper introduces a new mathematical formulation and numerical approach for the computation of distances and geodesics between immersed planar curves. Our approach combines the…