460 citations · 1.2k across the 40 of their papers we have counts for
4 papers · 1 filter
Testable uniqueness conditions for empirical assessment of undersampling levels in total variation-regularized x-ray CT
Jakob S. Jørgensen, Christian Kruschel, Dirk A. Lorenz
We study recoverability in fan-beam computed tomography (CT) with sparsity and total variation priors: how many underdetermined linear measurements suffice for recovering images of…
Imaging with Kantorovich-Rubinstein discrepancy
Jan Lellmann, Dirk A. Lorenz, Carola Schönlieb +1
We propose the use of the Kantorovich-Rubinstein norm from optimal transport in imaging problems. In particular, we discuss a variational regularisation model endowed with a Kantor…
A sparse Kaczmarz solver and a linearized Bregman method for online compressed sensing
Dirk A. Lorenz, Stephan Wenger, Frank Schöpfer +1
An algorithmic framework to compute sparse or minimal-TV solutions of linear systems is proposed. The framework includes both the Kaczmarz method and the linearized Bregman method…
An inertial forward-backward algorithm for monotone inclusions
Dirk A. Lorenz, Thomas Pock
In this paper, we propose an inertial forward backward splitting algorithm to compute a zero of the sum of two monotone operators, with one of the two operators being co-coercive.…