# Convex Obstacles from Travelling Times

@article{Noakes2020ConvexOF, title={Convex Obstacles from Travelling Times}, author={Lyle Noakes and Luchezar Stoyanov}, journal={Mathematics}, year={2020} }

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…

## One Citation

### Recovering obstacles from their traveling times.

- MathematicsChaos
- 2022

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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