122 citations · 234 across the 29 of their papers we have counts for
6 papers · 1 filter
A Model for Elastic Evolution on Foliated Shapes
Dai-Ni Hsieh, Sylvain Arguillère, Nicolas Charon +2
We study a shape evolution framework in which the deformation of shapes from time t to t + dt is governed by a regularized anisotropic elasticity model. More precisely, we assume t…
Math in the Black Forest: Workshop on New Directions in Shape Analysis
Martin Bauer, Nicolas Charon, Philipp Harms +9
These are the proceedings of the workshop "Math in the Black Forest", which brought together researchers in shape analysis to discuss promising new directions. Shape analysis is an…
Metric Registration of Curves and Surfaces using Optimal Control
Martin Bauer, Nicolas Charon, Laurent Younes
This paper presents an overview of recent developments in the analysis of shapes such as curves and surfaces through Riemannian metrics. We show that several constructions of metri…
Global Optimality in Separable Dictionary Learning with Applications to the Analysis of Diffusion MRI
Evan Schwab, Benjamin D. Haeffele, René Vidal +1
Sparse dictionary learning is a popular method for representing signals as linear combinations of a few elements from a dictionary that is learned from the data. In the classical s…
A relaxed approach for curve matching with elastic metrics
Martin Bauer, Martins Bruveris, Nicolas Charon +1
In this paper we study a class of Riemannian metrics on the space of unparametrized curves and develop a method to compute geodesics with given boundary conditions. It extends prev…
Diffeomorphic registration of discrete geometric distributions
Hsi-Wei Hsieh, Nicolas Charon
This paper proposes a new framework and algorithms to address the problem of diffeomorphic registration on a general class of geometric objects that can be described as discrete di…