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20162025
most citedElastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms

2 citations · 4 across the 10 of their papers we have counts for

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Showing 2018Show all

5 papers · 1 filter

math.OC2018

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.DG2018

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…

math.DG2018

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…

math.OC2018

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…

math.OC2018

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…