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20162022
most citedElastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms

2 citations · 3 across the 7 of their papers we have counts for

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math.OC2020

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…

math.OC2019

Metrics, quantization and registration in varifold spaces

Hsi-Wei Hsieh, Nicolas Charon

This paper is concerned with the theory and applications of varifolds to the representation, approximation and diffeomorphic registration of shapes. One of its purpose is to synthe…

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.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…