92 citations · 180 across the 19 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…
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…
3D Normal Coordinate Systems for Cortical Areas
J. Tilak Ratnanather, Sylvain Arguillère, Kwame S. Kutten +3
A surface-based diffeomorphic algorithm to generate 3D coordinate grids in the cortical ribbon is described. In the grid, normal coordinate lines are generated by the diffeomorphic…
Diffeomorphic Learning
Laurent Younes
We introduce in this paper a learning paradigm in which the training data is transformed by a diffeomorphic transformation before prediction. The learning algorithm minimizes a cos…
Elastic distance between curves under the metamorphosis viewpoint
Laurent Younes
We provide a new angle and obtain new results on a class of metrics on length-normalized curves in dimensions, represented by their unit tangents expressed as a function of arc…
Hybrid Riemannian Metrics for Diffeomorphic Shape Registration
Laurent Younes
We consider the results of combining two approaches developed for the design of Riemannian metrics on curves and surfaces, namely parametrization-invariant metrics of the Sobolev t…