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Geodesic X-ray tomography for piecewise constant functions on nontrapping manifolds by Ilmavirta, Joonas; Lehtonen, Jere; Salo, Mikko is a scholarly article available to read on EtoBox.

What is Geodesic X-ray tomography for piecewise constant functions on nontrapping manifolds about?

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.

Author

Ilmavirta, Joonas; Lehtonen, Jere; Salo, Mikko

Published

2017

Language

EN