51 citations · 191 across the 30 of their papers we have counts for
5 papers · 1 filter
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space
Martin Holler, Alexander Schlüter, Benedikt Wirth
An important theme in modern inverse problems is the reconstruction of time-dependent data from only finitely many measurements. To obtain satisfactory reconstruction results in th…
Optimal fine-scale structures in compliance minimization for a uniaxial load in three space dimensions
Jonas Potthoff, Benedikt Wirth
We consider the shape and topology optimization problem to design a structure that minimizes a weighted sum of material consumption and (linearly) elastic compliance under a fixed…
Formulation of branched transport as geometry optimization
Julius Lohmann, Bernhard Schmitzer, Benedikt Wirth
The branched transport problem, a popular recent variant of optimal transport, is a non-convex and non-smooth variational problem on Radon measures. The so-called urban planning pr…
Convex relaxation of discrete vector-valued optimization problems
Christian Clason, Carla Tameling, Benedikt Wirth
We consider a class of infinite-dimensional optimization problems in which a distributed vector-valued variable should pointwise almost everywhere take values from a given finite s…
Elastic 3D-2D Image Registration
Paul Striewski, Benedikt Wirth
We propose a method to non-rigidly align a three-dimensional (3D) volumetric image with a two-dimensional (2D) planar image representing a projection of the deformed volume. The ap…