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20092024
most citedA New Sparsification and Reconstruction Strategy for Compressed Sensing Photoacoustic Tomography

32 citations · 114 across the 23 of their papers we have counts for

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11 papers · 1 filter

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

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…

math.AP2017

Time reversal method for thermoacoustic acoustic tomography in elastic media: convergence with sharp observation time

Vitaly Katsnelson, Linh V. Nguyen

In this article, we consider the inverse source problem arising in photoacoustic tomography in elastic media. We show that the time reversal method, proposed by Tittelfitz [Inverse…

math.AP2017

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…

math.AP2016

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…

math.AP2015★ 22 cited

On Artifacts in Limited Data Spherical Radon Transform: Curved Observation Surface

Lyudmyla L. Barannyk, Jürgen Frikel, Linh V. Nguyen

In this article, we consider the limited data problem for spherical mean transform. We characterize the generation and strength of the artifacts in a reconstruction formula. In con…