275 citations · 954 across the 55 of their papers we have counts for
5 papers · 1 filter
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…
X-ray Transform and Boundary Rigidity for Asymptotically Hyperbolic Manifolds
C. Robin Graham, Colin Guillarmou, Plamen Stefanov +1
We consider the boundary rigidity problem for asymptotically hyperbolic manifolds. We show injectivity of the X-ray transform in several cases and consider the non-linear inverse p…
Nonlinear responses from the interaction of two progressing waves at an interface
Maarten de Hoop, Gunther Uhlmann, Yiran Wang
For scalar semilinear wave equations, we analyze the interaction of two (distorted) plane waves at an interface between media of different nonlinear properties. We show that new wa…
Tensor tomography in periodic slabs
Joonas Ilmavirta, Gunther Uhlmann
The X-ray transform on the periodic slab , , has a non-trivial kernel due to the symmetry of the manifold and presence of trapped geodesics. For ten…
Determination of vacuum space-times from the Einstein-Maxwell equations
Matti Lassas, Gunther Uhlmann, Yiran Wang
We study inverse problems for the Einstein-Maxwell equations. We prove that it is possible to generate gravitational waves from the nonlinear interactions of electromagnetic waves.…