59 citations · 103 across the 14 of their papers we have counts for
17 papers
MPISuperRes-PnP: A Super-Resolution Zero-Shot Plug-and-Play Reconstruction Algorithm for Magnetic Particle Imaging
Vladyslav Gapyak, Thomas März, Andreas Weinmann
Magnetic Particle Imaging (MPI) is an emerging medical imaging modality. MPI is based on the non-linear response of magnetic nanoparticles to an applied magnetic field and avoids i…
Debye Relaxation in Model-Based Multi-Dimensional Magnetic Particle Imaging
Vladyslav Gapyak, Thomas März, Andreas Weinmann
Model-based reconstruction approaches for the medical imaging modality Magnetic Particle Imaging (MPI) are typically based on the Langevin model, which assumes instantaneous alignm…
Higher Order Regularization using Harmonic Eigenfunctions for Model-Based Reconstruction in Magnetic Particle Imaging
Thomas März, Vladyslav Gapyak, Andreas Weinmann
Magnetic Particle Imaging (MPI) is a recent imaging modality where superparamagnetic nanoparticles are employed as tracers. The reconstruction task is to obtain the spatial particl…
Fast Trajectory-Independent Model-Based Reconstruction Algorithm for Multi-Dimensional Magnetic Particle Imaging
Vladyslav Gapyak, Thomas März, Andreas Weinmann
Magnetic Particle Imaging (MPI) is a promising tomographic technique for visualizing the spatio-temporal distribution of superparamagnetic nanoparticles, with applications ranging…
Remote Sensing Imagery for Flood Detection: Exploration of Augmentation Strategies
Vladyslav Polushko, Damjan Hatic, Ronald Rösch +3
Floods cause serious problems around the world. Responding quickly and effectively requires accurate and timely information about the affected areas. The effective use of Remote Se…
BlessemFlood21: Advancing Flood Analysis with a High-Resolution Georeferenced Dataset for Humanitarian Aid Support
Vladyslav Polushko, Alexander Jenal, Jens Bongartz +6
Floods are an increasingly common global threat, causing emergencies and severe damage to infrastructure. During crises, organisations such as the World Food Programme use remotely…
Enhanced Low-Dose CT Image Reconstruction by Domain and Task Shifting Gaussian Denoisers
Tim Selig, Thomas März, Martin Storath +1
Computed tomography from a low radiation dose (LDCT) is challenging due to high noise in the projection data. Popular approaches for LDCT image reconstruction are two-stage methods…
An -Plug-and-Play Approach for MPI Using a Zero Shot Denoiser with Evaluation on the 3D Open MPI Dataset
Vladyslav Gapyak, Corinna Rentschler, Thomas März +1
Objective: Magnetic particle imaging (MPI) is an emerging medical imaging modality which has gained increasing interest in recent years. Among the benefits of MPI are its high temp…
Reconstruction Formulae for 3D Field-Free Line Magnetic Particle Imaging
Vladyslav Gapyak, Thomas März, Andreas Weinmann
Magnetic Particle Imaging (MPI) is a promising noninvasive in vivo imaging modality that makes it possible to map the spatial distribution of superparamagnetic nanoparticles by exp…
Variational Model-Based Reconstruction Techniques for Multi-Patch Data in Magnetic Particle Imaging
Vladyslav Gapyak, Thomas März, Andreas Weinmann
Magnetic Particle Imaging is an emerging imaging modality through which it is possible to detect tracers containing superparamagnetic nanoparticles. The exposure of the particles t…
Mathematical Analysis of the 1D Model and Reconstruction Schemes for Magnetic Particle Imaging
Wolfgang Erb, Andreas Weinmann, Mandy Ahlborg +10
Magnetic particle imaging (MPI) is a promising new in-vivo medical imaging modality in which distributions of super-paramagnetic nanoparticles are tracked based on their response i…
Model-Based Reconstruction for Magnetic Particle Imaging in 2D and 3D
Thomas März, Andreas Weinmann
We contribute to the mathematical modeling and analysis of magnetic particle imaging which is a promising new in-vivo imaging modality. Concerning modeling, we develop a structured…
Anisotropic Diffusion on Curved Surfaces
Emma Naden, Thomas März, Colin B. Macdonald
We demonstrate a method for filtering images defined on curved surfaces embedded in 3D. Applications are noise removal and the creation of artistic effects. Our approach relies on…
An embedded method-of-lines approach to solving partial differential equations on surfaces
Ingrid von Glehn, Thomas März, Colin B. Macdonald
We introduce a method-of-lines formulation of the closest point method, a numerical technique for solving partial differential equations (PDEs) defined on surfaces. This is an embe…
An Embedding Technique for the Solution of Reaction-Diffusion Equations on Algebraic Surfaces with Isolated Singularities
Parousia Rockstroh, Thomas März, Steven J. Ruuth
In this paper we construct a parametrization-free embedding technique for numerically evolving reaction-diffusion PDEs defined on algebraic curves that possess an isolated singular…
Calculus on Surfaces with General Closest Point Functions
Thomas März, Colin B. Macdonald
The Closest Point Method for solving partial differential equations (PDEs) posed on surfaces was recently introduced by Ruuth and Merriman [J. Comput. Phys. 2008] and successfully…
Image Inpainting Based On Coherence Transport With Adapted Distance Functions
Thomas März
We discuss an extension of our method Image Inpainting Based on Coherence Transport. For the latter method the pixels of the inpainting domain have to be serialized into an ordered…