论文标题
叶面状况的2D反问题
2D inverse problem with a Foliation Condition
论文作者
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.