3 papers
math.NA2023
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…
math.NA2023
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…
math.OC2023
Convergence rates for critical point regularization
Daniel Obmann, Markus Haltmeier
Tikhonov regularization involves minimizing the combination of a data discrepancy term and a regularizing term, and is the standard approach for solving inverse problems. The use o…