122 citations · 234 across the 29 of their papers we have counts for
4 papers · 1 filter
Weight metamorphosis of varifolds and the LDDMM-Fisher-Rao metric
Hsi-Wei Hsieh, Nicolas Charon
This paper introduces and studies a metamorphosis framework for geometric measures known as varifolds, which extends the diffeomorphic registration model for objects such as curves…
A new variational model for shape graph registration with partial matching constraints
Yashil Sukurdeep, Martin Bauer, Nicolas Charon
This paper introduces a new extension of Riemannian elastic curve matching to a general class of geometric structures, which we call (weighted) shape graphs, that allows for shape…
Diffeomorphic shape evolution coupled with a reaction-diffusion PDE on a growth potential
Dai-Ni Hsieh, Sylvain Arguillère, Nicolas Charon +1
This paper studies a longitudinal shape transformation model in which shapes are deformed in response to an internal growth potential that evolves according to an advection reactio…
Supervised deep learning of elastic SRV distances on the shape space of curves
Emmanuel Hartman, Yashil Sukurdeep, Nicolas Charon +2
Motivated by applications from computer vision to bioinformatics, the field of shape analysis deals with problems where one wants to analyze geometric objects, such as curves, whil…