26 citations · 62 across the 25 of their papers we have counts for
4 papers · 2 filters
Total Variation Regularisation with Spatially Variable Lipschitz Constraints
Martin Burger, Yury Korolev, Simone Parisotto +1
We introduce a first order Total Variation type regulariser that decomposes a function into a part with a given Lipschitz constant (which is also allowed to vary spatially) and a j…
A total variation based regularizer promoting piecewise-Lipschitz reconstructions
Martin Burger, Yury Korolev, Carola-Bibiane Schönlieb +1
We introduce a new regularizer in the total variation family that promotes reconstructions with a given Lipschitz constant (which can also vary spatially). We prove regularizing pr…
Variational Graph Methods for Efficient Point Cloud Sparsification
Daniel Tenbrinck, Fjedor Gaede, Martin Burger
In recent years new application areas have emerged in which one aims to capture the geometry of objects by means of three-dimensional point clouds. Often the obtained data consist…
Computing Nonlinear Eigenfunctions via Gradient Flow Extinction
Leon Bungert, Martin Burger, Daniel Tenbrinck
In this work we investigate the computation of nonlinear eigenfunctions via the extinction profiles of gradient flows. We analyze a scheme that recursively subtracts such eigenfunc…