1 citations · 1 across the 4 of their papers we have counts for
6 papers
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…
On the Palais-Smale condition in geometric knot theory
Nicolas Freches, Henrik Schumacher, Daniel Steenebrügge +1
We prove that various families of energies relevant in geometric knot theory satisfy the Palais-Smale condition (PS) on submanifolds of arclength para\-metrized knots. These energi…
On a Complete Riemannian Metric on the Space of Embedded Curves
Elias Döhrer, Philipp Reiter, Henrik Schumacher
We propose a new strong Riemannian metric on the manifold of (parametrized) embedded curves of regularity , . We highlight its close relationship to the (generali…
Repulsive Surfaces
Chris Yu, Caleb Brakensiek, Henrik Schumacher +1
Functionals that penalize bending or stretching of a surface play a key role in geometric and scientific computing, but to date have ignored a very basic requirement: in many situa…
Repulsive Curves
Christopher Yu, Henrik Schumacher, Keenan Crane
Curves play a fundamental role across computer graphics, physical simulation, and mathematical visualization, yet most tools for curve design do nothing to prevent crossings or sel…
Maximal discrete sparsity in parabolic optimal control with measures
Evelyn Herberg, Michael Hinze, Henrik Schumacher
We consider variational discretization of a parabolic optimal control problem governed by space-time measure controls. For the state discretization we use a Petrov-Galerkin method…