228 citations · 571 across the 28 of their papers we have counts for
5 papers · 1 filter
Higher-order total variation approaches and generalisations
Kristian Bredies, Martin Holler
Over the last decades, the total variation (TV) evolved to one of the most broadly-used regularisation functionals for inverse problems, in particular for imaging applications. Whe…
Tensor-Free Proximal Methods for Lifted Bilinear/Quadratic Inverse Problems with Applications to Phase Retrieval
Robert Beinert, Kristian Bredies
We propose and study a class of novel algorithms that aim at solving bilinear and quadratic inverse problems. Using a convex relaxation based on tensorial lifting, and applying fir…
On the extremal points of the ball of the Benamou-Brenier energy
Kristian Bredies, Marcello Carioni, Silvio Fanzon +1
In this paper we characterize the extremal points of the unit ball of the Benamou--Brenier energy and of a coercive generalization of it, both subjected to the homogeneous continui…
Approximation of the Mumford-Shah Functional by Phase Fields of Bounded Variation
Sandro Belz, Kristian Bredies
In this paper we introduce a new phase field approximation of the Mumford-Shah functional similar to the well-known one from Ambrosio and Tortorelli. However, in our setting the ph…
An optimal transport approach for solving dynamic inverse problems in spaces of measures
Kristian Bredies, Silvio Fanzon
In this paper we propose and study a novel optimal transport based regularization of linear dynamic inverse problems. The considered inverse problems aim at recovering a measure va…