3 citations · 3 across the 7 of their papers we have counts for
8 papers
Completeness of reparametrization-invariant Sobolev metrics on the space of surfaces
Martin Bauer, Cy Maor, Benedikt Wirth
We study reparametrization-invariant Sobolev-type Riemannian metrics on the space of immersed surfaces and establish conditions ensuring metric and geodesic completeness as well as…
Geodesic Calculus on Implicitly Defined Latent Manifolds
Florine Hartwig, Josua Sassen, Juliane Braunsmann +2
Latent manifolds of autoencoders provide low-dimensional representations of data, which can be studied from a geometric perspective. We propose to describe these latent manifolds a…
On MAP estimates and source conditions for drift identification in SDEs
Daniel Tenbrinck, Nikolas Uesseler, Philipp Wacker +1
We consider the inverse problem of identifying the drift in an SDE from observations of its solution at distinct time points. We derive a corresponding MAP estimate, we p…
Computer-Assisted Proofs for Geometric Optimization: From Crystallization to Carbon Nanotubes
Miguel Ayala, Rustum Choksi, Benedikt Wirth
We present a framework based on computer-assisted proofs that turns geometry optimization simulations for atomistic structures into mathematical proofs. Starting from a numerically…
Discrete Geodesic Calculus in the Space of Sobolev Curves
Sascha Beutler, Florine Hartwig, Martin Rumpf +1
The Riemannian manifold of curves with a Sobolev metric is an important and frequently studied model in the theory of shape spaces. Various numerical approaches have been proposed…
Convergence of spectral discretization for the flow of diffeomorphisms
Benedikt Wirth
The Large Deformation Diffeomorphic Metric Mapping (LDDMM) or flow of diffeomorphism is a classical framework in the field of shape spaces and is widely applied in mathematical ima…
Active Axial Motion Compensation in Multiphoton-Excited Fluorescence Microscopy
Manuel Kunisch, Sascha Beutler, Christian Pilger +3
In living organisms, the natural motion caused by the heartbeat, breathing, or muscle movements leads to the deformation of tissue caused by translation and stretching of the tissu…
Proceedings of the third "international Traveling Workshop on Interactions between Sparse models and Technology" (iTWIST'16)
V. Abrol, O. Absil, P. -A. Absil +58
The third edition of the "international - Traveling Workshop on Interactions between Sparse models and Technology" (iTWIST) took place in Aalborg, the 4th largest city in Denmark s…