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Recovering obstacles from their traveling times
T Gurfinkel1, L Noakes1, L Stoyanov1
1Department of Mathematics and Statistics, University of Western Australia, Crawley 6009, WA, Australia.
Abstract:
Noakes and Stoyanov [Mathematics 9, 2434 (2021)] introduced a method of recovering strictly convex planar obstacles from their set of traveling times. We provide an extension of this construction for obstacles on Riemannian surfaces under some general curvature conditions. It is required that no smooth geodesic intersects more than two obstacles.
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