2D inverse problem with a Foliation Condition

Published 2 Sep 2020 in math.AP | (2009.01102v4)

Abstract: The inverse problem of X-tray transforms considers reconstructing functions from some data that are easier to measure, which is typically the integral of that function along geodesics. We prove that if the domain has a foliation structure, then this reconstruction process is possible on certain function classes.

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Qiuye Jia

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