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arXiv · 2009.01102

2D inverse problem with a Foliation Condition

Qiuye Jia
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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. 2020-09-02. 2D inverse problem with a Foliation Condition. https://arxiv.org/abs/2009.01102

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