44 citations · 182 across the 18 of their papers we have counts for
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math.AP2015
Efficient tensor tomography in fan-beam coordinates
Francois Monard
We propose a thorough analysis of the tensor tomography problem on the Euclidean unit disk parameterized in fan-beam coordinates. This includes, for the inversion of the Radon tran…
math.AP2015★ 3 cited
Inversion of the attenuated geodesic X-ray transform over functions and vector fields on simple surfaces
François Monard
We derive explicit reconstruction formulas for the attenuated geodesic X-ray transform over functions and, in the case of non-vanishing attenuation, vector fields, on a class of si…
math.AP2015
Reconstruction of a fully anisotropic elasticity tensor from knowledge of displacement fields
Guillaume Bal, Francois Monard, Gunther Uhlmann
We present explicit reconstruction algorithms for fully anisotropic unknown elasticity tensors from knowledge of a finite number of internal displacement fields, with applications…