2 papers
math.OC2025
Shape Alignment via Allen-Cahn Nonlinear-Convection
Daniel Solano, Laurent Younes, Jerome Darbon
This paper demonstrates the impact of a phase field method on shape registration to align shapes of possibly different topology. It yields new insights into the building of discrep…
math.NA2025
A continuous scale space of diffeomorphisms
Yechen Liu, Laurent Younes
In this paper, we define and study a nested family of reproducing kernel Hilbert spaces of vector fields that is indexed by a range of scales, from which we construct a reproducing…