90 citations · 503 across the 77 of their papers we have counts for
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Geometric inverse problems on gas giants
Maarten V. de Hoop, Joonas Ilmavirta, Antti Kykkänen +1
On gas giant planets the speed of sound is isotropic and goes to zero at the surface. Geometrically, this corresponds to a Riemannian manifold whose metric tensor has a conformal b…
Reconstruction of anisotropic stiffness tensors from partial data around one polarization
Maarten V. de Hoop, Joonas Ilmavirta, Matti Lassas +1
We study inverse problems in anisotropic elasticity using tools from algebraic geometry. The singularities of solutions to the elastic wave equation in dimension with an anisot…
Stable reconstruction of simple Riemannian manifolds from unknown interior sources
Maarten V. de Hoop, Joonas Ilmavirta, Matti Lassas +1
Consider the geometric inverse problem: There is a set of delta-sources in spacetime that emit waves travelling at unit speed. If we know all the arrival times at the boundary cyli…
Reconstruction along a geodesic from sphere data in Finsler geometry and anisotropic elasticity
Maarten V. de Hoop, Joonas Ilmavirta, Matti Lassas
Dix formulated the inverse problem of recovering an elastic body from the measurements of wave fronts of point sources. We geometrize this problem in the context of seismology, lea…
A foliated and reversible Finsler manifold is determined by its broken scattering relation
Maarten V. de Hoop, Joonas Ilmavirta, Matti Lassas +1
The broken scattering relation consists of the total lengths of broken geodesics that start from the boundary, change direction once inside the manifold, and propagate to the bound…
Determination of a compact Finsler manifold from its boundary distance map and an inverse problem in elasticity
Maarten V. De Hoop, Joonas Ilmavirta, Matti Lassas +1
We prove that the boundary distance map of a smooth compact Finsler manifold with smooth boundary determines its topological and differentiable structures. We construct the optimal…
Abel transforms with low regularity with applications to X-ray tomography on spherically symmetric manifolds
Maarten V. de Hoop, Joonas Ilmavirta
We study ray transforms on spherically symmetric manifolds with a piecewise metric. Assuming the Herglotz condition, the X-ray transform is injective on the space of $L^2…