16 citations · 26 across the 10 of their papers we have counts for
11 papers
Dipole-lets: a new multiscale decomposition for MR phase and quantitative susceptibility mapping
Ignacio Contreras-Zúñiga, Mathias Lambert, Benjamín Palacios +2
Nondipolar phase contributions can generate severe streaking artifacts during quantitative susceptibility mapping (QSM) inversion. We propose Dipole-lets, a dipole-adapted multisca…
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…
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…
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…
Lipschitz stability for Backward Heat Equation with application to Fluorescence Microscopy
Pablo Arratia, Matias Courdurier, Evelyn Cueva +2
This second version of the manuscript includes, in the appendices, an erratum that points out an error on the published version and offers alternative results for the Lipschitz sta…
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…
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…
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…
Thermoacoustic tomography for an integro-differential wave equation modeling attenuation
Sebastian Acosta, Benjamin Palacios
In this article we study the inverse problem of thermoacoustic tomography (TAT) on a medium with attenuation represented by a time- convolution (or memory) term, and whose consider…
Reducing Streaking Artifacts in Quantitative Susceptibility Mapping
Benjamin Palacios, Gunther Uhlmann, Yiran Wang
It is well-known that reconstruction algorithms in quantitative susceptibility mapping often contain streaking artifacts. In [1], the cause of the artifacts is identified as propag…
Reconstruction for multiwave imaging in attenuating media with large damping coefficient
Benjamin Palacios
In this article we study the reconstruction problem in TAT/PAT on an attenuating media. Namely, we prove a reconstruction procedure of the initial condition for the damped wave equ…