Recovering obstacles from their traveling times

T. Gurfinkel; L. Noakes; L. Stoyanov

doi:10.1063/5.0129066

Recovering obstacles from their traveling times

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	123131
Number of pages	12
Journal	Chaos
Volume	32
Issue number	12
DOIs	https://doi.org/10.1063/5.0129066
Publication status	Published - 13 Dec 2022

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title = "Recovering obstacles from their traveling times",

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.",

author = "T. Gurfinkel and L. Noakes and L. Stoyanov",

note = "Funding Information: This research was supported by an Australian Government Research Training Program (RTP) Scholarship. Publisher Copyright: {\textcopyright} 2022 Author(s).",

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AU - Stoyanov, L.

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AB - 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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VL - 32

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Recovering obstacles from their traveling times

Abstract

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