3 papers
math.NA2024
Full Field Inversion of the Attenuated Wave Equation: Theory and Numerical Inversion
Ngoc Do, Markus Haltmeier, Richard Kowar +2
Standard photoacoustic tomography (PAT) provides data that consist of time-dependent signals governed by the wave equation, which are measured on an observation surface. In contras…
math.AP2021
Analysis for Full Field Photoacoustic Tomography with Variable Sound Speed
Linh V. Nguyen, Markus Haltmeier, Richard Kowar +1
Photoacoustic tomography (PAT) is a non-invasive imaging modality that requires recovering the initial data of the wave equation from certain measurements of the solution outside t…
math.AP2018
Theoretically exact photoacoustic reconstruction from spatially and temporally reduced data
Ngoc Do, Leonid Kunyansky
We investigate the inverse source problem for the wave equation, arising in photo- and thermoacoustic tomography. There exist quite a few theoretically exact inversion formulas exp…