7 citations · 24 across the 9 of their papers we have counts for
6 papers · 1 filter
Inverse obstacle scattering regularized by the tangent-point energy
Henrik Schumacher, Jannik Rönsch, Thorsten Hohage +1
We employ the so-called tangent-point energy as Tikhonov regularizer for ill-conditioned inverse scattering problems in 3D. The tangent-point energy is a self-avoiding functional o…
Sobolev Gradients for the Möbius Energy
Philipp Reiter, Henrik Schumacher
Aiming at optimizing the shape of closed embedded curves within prescribed isotopy classes, we use a gradient-based approach to approximate stationary points of the Möbius energy.…
Elastic energy regularization for inverse obstacle scattering problems
Julian Eckhardt, Ralf Hiptmair, Thorsten Hohage +2
By introducing a shape manifold as a solution set to solve inverse obstacle scattering problems we allow the reconstruction of general, not necessarily star-shaped curves. The bend…
Variational Convergence of Discrete Elasticae
Sebastian Scholtes, Henrik Schumacher, Max Wardetzky
We discuss a discretization by polygonal lines of the Euler-Bernoulli bending energy and of Euler elasticae under clamped boundary conditions. We show Hausdorff convergence of the…
On -gradient Flows for the Willmore Energy
Henrik Schumacher
We show that the concept of -gradient flow for the Willmore energy and other functionals that depend at most quadratically on the second fundamental form is well-defined in th…
Variational Convergence of Discrete Minimal Surfaces
Henrik Schumacher, Max Wardetzky
Building on and extending tools from variational analysis, we prove Kuratowski convergence of sets of simplicial area minimizers to minimizers of the smooth Douglas-Plateau problem…