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most citedJoint Reconstruction via Coupled Bregman Iterations with Applications to PET-MR Imaging

16 citations · 19 across the 5 of their papers we have counts for

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math.NA2018

Unified Models for Second-Order TV-Type Regularisation in Imaging - A New Perspective Based on Vector Operators

Eva-Maria Brinkmann, Martin Burger, Joana Sarah Grah

We introduce a novel regulariser based on the natural vector field operations gradient, divergence, curl and shear. For suitable choices of the weighting parameters contained in ou…

math.NA2017

Dynamic MRI Reconstruction from Undersampled Data with an Anatomical Prescan

Julian Rasch, Ville Kolehmainen, Riikka Nivajärvi +4

The goal of dynamic magnetic resonance imaging (dynamic MRI) is to visualize tissue properties and their local changes over time that are traceable in the MR signal. We propose a n…

math.NA2017★ 16 cited

Joint Reconstruction via Coupled Bregman Iterations with Applications to PET-MR Imaging

Julian Rasch, Eva-Maria Brinkmann, Martin Burger

Joint reconstruction has recently attracted a lot of attention, especially in the field of medical multi-modality imaging such as PET-MRI. Most of the developed methods rely on the…

math.NA2016★ 3 cited

Bias-Reduction in Variational Regularization

Eva-Maria Brinkmann, Martin Burger, Julian Rasch +1

The aim of this paper is to introduce and study a two-step debiasing method for variational regularization. After solving the standard variational problem, the key idea is to add a…

math.NA2013

Color Bregman TV

Michael Moeller, Eva-Maria Brinkmann, Martin Burger +1

In this paper we present a novel iterative procedure for multichannel image and data reconstruction using Bregman distances. With the motivation that multiple channels sharing a co…