44 citations · 182 across the 18 of their papers we have counts for
5 papers · 1 filter
On reconstruction formulas for the ray transform acting on symmetric differentials on surfaces
François Monard
The present article proposes a partial answer to the explicit inversion of the tensor tomography problem in two dimensions, by proving injectivity over certain kinds of tensors and…
Reconstruction of constitutive parameters in isotropic linear elasticity from noisy full-field measurements
Guillaume Bal, Cédric Bellis, Sébastien Imperiale +1
Within the framework of linear elasticity we assume the availability of internal full-field measurements of the continuum deformations of a non-homogeneous isotropic solid. The aim…
Numerical implementation of geodesic X-ray transforms and their inversion
François Monard
We present a numerical implementation of the geodesic ray transform and its inversion over functions and solenoidal vector fields on two-dimensional Riemannian manifolds. For each…
Inverse anisotropic conductivity from internal current densities
Guillaume Bal, Chenxi Guo, Francois Monard
This paper concerns the reconstruction of an anisotropic conductivity tensor from internal current densities of the form , where solves a second-order ellipt…
Linearized internal functionals for anisotropic conductivities
Guillaume Bal, Chenxi Guo, Francois Monard
This paper concerns the reconstruction of an anisotropic conductivity tensor in an elliptic second-order equation from knowledge of the so-called power density functionals. This pr…