92 citations · 180 across the 19 of their papers we have counts for
5 papers · 1 filter
Shape spaces: From geometry to biological plausibility
Nicolas Charon, Laurent Younes
This paper reviews several Riemannian metrics and evolution equations in the context of diffeomorphic shape analysis. After a short review of of various approaches at building Riem…
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…
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…
A Metric on Shape Space with Explicit Geodesics
Peter W. Michor, David Mumford, Jayant Shah +1
This paper studies a specific metric on plane curves that has the property of being isometric to classical manifold (sphere, complex projective, Stiefel, Grassmann) modulo change o…