Given a smooth non-trapping compact manifold with strictly con- vex boundary, we consider an inverse problem of reconstructing the manifold from the scattering data initiated from internal sources. This data consist of the exit directions of geodesics that are emaneted from interior points of the manifold. We show that under certain generic assumption of the metric, one can reconstruct an isometric copy of the manifold from such scattering data measured on the boundary.

翻译：鉴于一个光滑的、有严格连接边界的、非交接的紧凑式紧凑体,我们认为从内部来源开始的散射数据中重建元件是一个反向问题,该数据包括从地块内部点渗入的大地测量学的退出方向。我们表明,根据某些通用的公用指标假设,人们可以重建从边界测量的这种散射数据中提取的元件的等量复制件。