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arXiv · 1702.07622

Geodesic X-ray tomography for piecewise constant functions on nontrapping manifolds

Joonas Ilmavirta·Jere Lehtonen·Mikko Salo
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Abstract

We show that on a two-dimensional compact nontrapping manifold with strictly convex boundary, a piecewise constant function is determined by its integrals over geodesics. In higher dimensions, we obtain a similar result if the manifold satisfies a foliation condition. These theorems are based on iterating a local uniqueness result. Our proofs are elementary.

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Joonas Ilmavirta, Jere Lehtonen, Mikko Salo. 2017-02-24. Geodesic X-ray tomography for piecewise constant functions on nontrapping manifolds. https://arxiv.org/abs/1702.07622

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