16 citations · 22 across the 4 of their papers we have counts for
5 papers
An Open Waveguide with a Thin High Contrast Core Layer: Asymptotic Analysis and Inverse Detection Problem
Eric Bonnetier, Matias Courdurier, Axel Osses +1
We investigate the Helmholtz equation in a two dimensional open waveguide with a thin and high contrast core layer. We develop an asymptotic analysis of the Green function of the p…
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…
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…
Simultaneous source and attenuation reconstruction in SPECT using ballistic and single scattering data
Matias Courdurier, Francois Monard, Axel Osses +1
In medical SPECT imaging, we seek to simultaneously obtain the internal radioactive sources and the attenuation map using not only ballistic measurements but also first order scatt…
Boundary control of elliptic solutions to enforce local constraints
Guillaume Bal, Matias Courdurier
We present a constructive method to devise boundary conditions for solutions of second-order elliptic equations so that these solutions satisfy specific qualitative properties such…