activity
20172021
most citedThermoacoustic tomography for an integro-differential wave equation modeling attenuation

2 citations · 2 across the 3 of their papers we have counts for

collaborators

7 papers

math.AP2021

Fermi pencil beams and off-axis laser detection

Guillaume Bal, Benjamin Palacios

This paper concerns the reconstruction of properties of narrow laser beams propagating in turbulent atmospheres. We consider the setting of off-axis measurements, based on light de…

math.AP2021

Photoacoustic tomography in attenuating media with partial data

Benjamin Palacios

The attenuation of ultrasound waves in photoacoustic and thermoacoustic imaging presents an important drawback in the applicability of these modalities. This issue has been address…

math.AP2020

Pencil-beam approximation of fractional Fokker-Planck

Guillaume Bal, Benjamin Palacios

We consider the modeling of light beams propagating in highly forward-peaked turbulent media by fractional Fokker-Planck equations and their approximations by fractional Fermi penc…

math.AP2019

Pencil-beam approximation of stationary Fokker-Planck

Guillaume Bal, Benjamin Palacios

Solutions of stationary Fokker-Planck equations in the narrow beam regime are commonly approximated by either ballistic linear transport or by a Fermi pencil-beam equation. We pres…

math.AP2019

Mathematical Modeling for 2D Light-Sheet Fluorescence Microscopy image reconstruction

Evelyn Cueva, Matias Courdurier, Axel Osses +3

We study an inverse problem for Light Sheet Fluorescence Microscopy (LSFM), where the density of fluorescent molecules needs to be reconstructed. Our first step is to present a mat…

math.AP2017

Quantitative analysis of metal artifacts in X-ray tomography

Benjamin Palacios, Gunther Uhlmann, Yiran Wang

In X-ray CT scan with metallic objects, it is known that direct application of the filtered back-projection (FBP) formula leads to streaking artifacts in the reconstruction. These…