180 citations · 1.3k across the 95 of their papers we have counts for
13 papers · 1 filter
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…
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…
Reconstruction algorithms for photoacoustic tomography in heterogenous damping media
Linh V. Nguyen, Markus Haltmeier
In this article, we study several reconstruction methods for the inverse source problem of photoacoustic tomography (PAT) with spatially variable sound speed and damping. The backb…
Analysis of the Linearized Problem of Quantitative Photoacoustic Tomography
Markus Haltmeier, Lukas Neumann, Linh V. Nguyen +1
Quantitative image reconstruction in photoacoustic tomography requires the solution of a coupled physics inverse problem involvier light transport and acoustic wave propagation. In…
Analysis of Iterative Methods in Photoacoustic Tomography with Variable Sound Speed
Markus Haltmeier, Linh V. Nguyen
In this article, we revisit iterative methods for solving the inverse problem of photoacoustic tomography in free space. Recently, there have been interesting developments on expli…
Single-stage reconstruction algorithm for quantitative photoacoustic tomography
Markus Haltmeier, Lukas Neumann, Simon Rabanser
The development of efficient and accurate image reconstruction algorithms is one of the cornerstones of computed tomography. Existing algorithms for quantitative photoacoustic tomo…
Exact Reconstruction Formula for the Spherical Mean Radon Transform on Ellipsoids
M. Haltmeier
Many modern imaging and remote sensing applications require reconstructing a function from spherical averages (mean values). Examples include photoacoustic tomography, ultrasound i…
Universal inversion formulas for recovering a function from spherical means
Markus Haltmeier
The problem of reconstruction a function from spherical means is at the heart of several modern imaging modalities and other applications. In this paper we derive universal back-pr…
Inversion of circular means and the wave equation on convex planar domains
Markus Haltmeier
We study the problem of recovering the initial data of the two dimensional wave equation from values of its solution on the boundary $\partial \Om$ of a smooth convex bounded domai…
Inversion of spherical means and the wave equation in even dimensions
D. Finch, M. Haltmeier, Rakesh
We establish inversion formulas of the so called filtered back-projection type to recover a function supported in the ball in even dimensions from its spherical means over spheres…
Mathematical Challenges Arising in Thermoacoustic Tomography with Line Detectors
M. Haltmeier, T. Fidler
Thermoacoustic computed tomography (thermoacoustic CT) has the potential to become a mayor non-invasive medical imaging method. In this paper we derive a general mathematical frame…