55 citations · 598 across the 84 of their papers we have counts for
12 papers · 1 filter
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…
On a Reaction-Cross-Diffusion System Modelling the Growth of Glioblastoma
Martin Burger, Patricia Friele, Jan-Frederik Pietschmann
We investigate a recently proposed cross-diffusion system modelling the growth of gliobastoma taking into account size exclusion both in the migration and proliferation process. In…
Asymptotic gradient flow structures of a nonlinear Fokker-Planck equation
Maria Bruna, Martin Burger, Helene Ranetbauer +1
In this paper we consider a nonlinear Fokker-Planck equation with asymptotically small parameters. It describes the diffusion of finite-size particles in the presence of a fixed di…
Dynamic SPECT reconstruction with temporal edge correlation
Qiaoqiao Ding, Martin Burger, Xiaoqun Zhang
In dynamic imaging, a key challenge is to reconstruct image sequences with high temporal resolution from strong undersampling projections due to a relatively slow data acquisition…
Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems
Sergios Agapiou, Martin Burger, Masoumeh Dashti +1
We consider the inverse problem of recovering an unknown functional parameter in a separable Banach space, from a noisy observation of its image through a known possibly no…
A Variational Reconstruction Method for Undersampled Dynamic X-ray Tomography based on Physical Motion Models
Martin Burger, Hendrik Dirks, Lena Frerking +3
In this paper we study the reconstruction of moving object densities from undersampled dynamic X-ray tomography in two dimensions. A particular motivation of this study is to use r…
Adaptive Regularization of Some Inverse Problems in Image Analysis
Byung-Woo Hong, Ja-Keoung Koo, Martin Burger +1
We present an adaptive regularization scheme for optimizing composite energy functionals arising in image analysis problems. The scheme automatically trades off data fidelity and r…
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…
Sorting Phenomena in a Mathematical Model For Two Mutually Attracting/Repelling Species
Martin Burger, Marco Di Francesco, Simone Fagioli +1
Macroscopic models for systems involving diffusion, short-range repulsion, and long-range attraction have been studied extensively in the last decades. In this paper we extend the…
Nonlinear Spectral Image Fusion
Martin Benning, Michael Möller, Raz Z. Nossek +4
In this paper we demonstrate that the framework of nonlinear spectral decompositions based on total variation (TV) regularization is very well suited for image fusion as well as mo…
Block Compressive Sensing of Image and Video with Nonlocal Lagrangian Multiplier and Patch-based Sparse Representation
Trinh Van Chien, Khanh Quoc Dinh, Byeungwoo Jeon +1
Although block compressive sensing (BCS) makes it tractable to sense large-sized images and video, its recovery performance has yet to be significantly improved because its recover…
Risk Estimators for Choosing Regularization Parameters in Ill-Posed Problems - Properties and Limitations
Felix Lucka, Katharina Proksch, Christoph Brune +4
This paper discusses the properties of certain risk estimators recently proposed to choose regularization parameters in ill-posed problems. A simple approach is Stein's unbiased ri…