论文标题

叶面状况的2D反问题

2D inverse problem with a Foliation Condition

论文作者

Jia, Qiuye

论文摘要

X-tray的反问题转换为从某些数据易于测量的数据中重建函数,这通常是该函数沿大地测量的积分。我们证明,如果域具有叶面结构,那么在某些功能类中可能会进行此重构过程。

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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