# Convex Obstacles from Travelling Times

@article{Noakes2020ConvexOF,
title={Convex Obstacles from Travelling Times},
author={Lyle Noakes and Luchezar Stoyanov},
journal={Mathematics},
year={2020}
}
• Published 9 October 2020
• Mathematics
• Mathematics
We consider situations where rays are reflected according to geometrical optics by a set of unknown obstacles. The aim is to recover information about the obstacles from the travelling-time data of the reflected rays using geometrical methods and observations of singularities. Suppose that, for a disjoint union of finitely many strictly convex smooth obstacles in the Euclidean plane, no Euclidean line meets more than two of them. We then give a construction for complete recovery of the…
1 Citations

## Figures from this paper

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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

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