55 citations · 598 across the 84 of their papers we have counts for
6 papers · 2 filters
Bregman Cost for Non-Gaussian Noise
Martin Burger, Yiqiu Dong, Federica Sciacchitano
One of the tasks of the Bayesian inverse problem is to find a good estimate based on the posterior probability density. The most common point estimators are the conditional mean (C…
A Variational Model for Joint Motion Estimation and Image Reconstruction
Martin Burger, Hendrik Dirks, Carola-Bibiane Schönlieb
The aim of this paper is to derive and analyze a variational model for the joint estimation of motion and reconstruction of image sequences, which is based on a time-continuous Eul…
Simultaneous Reconstruction and Segmentation for Dynamic SPECT Imaging
Martin Burger, Carolin Rossmanith, Xiaoqun Zhang
This work deals with the reconstruction of dynamic images that incorporate characteristic dynamics in certain subregions, as arising for the kinetics of many tracers in emission to…
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…
Large Noise in Variational Regularization
Martin Burger, Tapio Helin, Hanne Kekkonen
In this paper we consider variational regularization methods for inverse problems with large noise that is in general unbounded in the image space of the forward operator. We intro…
Spectral Decompositions using One-Homogeneous Functionals
Martin Burger, Guy Gilboa, Michael Moeller +2
This paper discusses the use of absolutely one-homogeneous regularization functionals in a variational, scale space, and inverse scale space setting to define a nonlinear spectral…