180 citations · 1.3k across the 95 of their papers we have counts for
10 papers · 2 filters
Breaking the Resolution limit in Photoacoustic Imaging using Positivity and Sparsity
Peter Burgholzer, Johannes Bauer-Marschallinger, Mike Hettich +1
In this tutorial, we aim to directly recreate some of our "aha" moments when exploring the impact of heat diffusion on the spatial resolution limit of photothermal imaging. Our obj…
Heat diffusion blurs photothermal images with increasing depth
Peter Burgholzer, Günther Mayr, Gregor Thummerer +1
In this tutorial, we aim to directly recreate some of our "aha" moments when exploring the impact of heat diffusion on the spatial resolution limit of photothermal imaging. Our obj…
Sampling and resolution in sparse view photoacoustic tomography
Markus Haltmeier, Daniel Obmann, Karoline Felbermayer +2
We investigate resolution in photoacoustic tomography (PAT). Using Shannon theory, we investigate the theoretical resolution limit of sparse view PAT theoretically, and empirically…
Relaxed data-consistency for limited bandwidth photoacoustic tomography
Daniel Obmann, Markus Haltmeier
We study the effect of using weaker forms of data-fidelity terms in generalized Tikhonov regularization accounting for model uncertainties. We show that relaxed data-consistency co…
Superiorized Regularization of Inverse Problems
Aviv Gibali, Markus Haltmeier
Inverse problems are characterized by their inherent non-uniqueness and sensitivity with respect to data perturbations. Their stable solution requires the application of regulariza…
Data-proximal null-space networks for inverse problems
Simon Göppel, Jürgen Frikel, Markus Haltmeier
Inverse problems are inherently ill-posed and therefore require regularization techniques to achieve a stable solution. While traditional variational methods have well-established…
Convergence of non-linear diagonal frame filtering for regularizing inverse problems
Andrea Ebner, Markus Haltmeier
Inverse problems are key issues in several scientific areas, including signal processing and medical imaging. Since inverse problems typically suffer from instability with respect…
Convergence analysis of equilibrium methods for inverse problems
Daniel Obmann, Gyeongha Hwang, Markus Haltmeier
Solving inverse problems \(Ax = y\) is central to a variety of practically important fields such as medical imaging, remote sensing, and non-destructive testing. The most successfu…
Translation invariant diagonal frame decomposition for the Radon transform
Simon Göppel, Markus Haltmeier, Jürgen Frikel
In this article, we address the challenge of solving the ill-posed reconstruction problem in computed tomography using a translation invariant diagonal frame decomposition (TI-DFD)…
Data-proximal complementary -TV reconstruction for limited data CT
Simon Göppel, Jürgen Frikel, Markus Haltmeier
In a number of tomographic applications, data cannot be fully acquired, resulting in a severely underdetermined image reconstruction. In such cases, conventional methods lead to re…