5 papers
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…
Photoacoustic inversion formulas using mixed data on finite time intervals
Florian Dreier, Markus Haltmeier
We study the inverse source problem in photoacoustic tomography (PAT) for mixed data, which denote a weighted linear combination of the acoustic pressure and its normal derivative…
Recovering the Initial Data of the Wave Equation from Neumann Traces
Florian Dreier, Markus Haltmeier
We study the problem of recovering the initial data (f, 0) of the standard wave equation from the Neumann trace (the normal derivative) of the solution on the boundary of convex do…
Explicit inversion formulas for the two-dimensional wave equation from Neumann traces
Florian Dreier, Markus Haltmeier
In this article we study the problem of recovering the initial data of the two-dimensional wave equation from Neumann measurements on a convex domain with smooth boundary in the pl…
Operator learning approach for the limited view problem in photoacoustic tomography
Florian Dreier, Sergiy Pereverzyev, Markus Haltmeier
In photoacoustic tomography, one is interested to recover the initial pressure distribution inside a tissue from the corresponding measurements of the induced acoustic wave on the…