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Preprint Sep 2026

Dispersion for the wave equation with Neumann boundary condition inside general strictly convex domains

We consider the wave equation on a manifold of dimension d>1 with smooth strictly convex boundary, with Neumann boundary condition. We construct a sharp local in time parametrix for the Neumann wave equation near glancing, extending the classical Melrose-Taylor construction for the Dirichlet problem to the Neumann boun...

Oana Ivanovici, Diego Sanchez Sanz Imj-Prg, Ljll · 1 citation
Preprint Aug 2026

A Framework for Joint Affine and Diffeomorphic Image Registration

Anatomical image registration commonly relies on a sequential pipeline where an affine alignment is estimated first and then held fixed while a non-rigid diffeomorphic deformation is applied. This two-step process often leads to suboptimal results, as the initial stage can absorb local deformations, biasing the residua...

Anton François, R. M. M. -. U. 8145, Ljll et al. · 0 citations
Preprint Jul 2026

A Varifold-Based Score for Decoupling Deformations in Shape Analysis

A novel coupling score designed to decouple distinct deformation modes during registration is introduced, which quantifies the extent to which the action of a given vector field on a shape can be replicated by another subspace of vector fields.

R. M. M. -. U. 8145, Ljll, Ca Ge et al. · 1 citation

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