Discovering a Point Source in Unknown Environments
Discovering a Point Source in Unknown Environments
复制标题
在未知环境中发现点源
DOI：
10.1007/978-3-642-00312-7_41
复制
发表时间：
2008
影响因子：
2
通讯作者：
Richard Tsai
中科院分区：
文献类型：
--
作者：
M. Burger;Y. Landa;N. Tanushev;Richard Tsai
我们考虑的逆问题，发现一个源的位置，从非常稀疏的点测量在一个有界域，包含不可穿透的（可能是未知的）障碍。我们提出了一种自适应算法来确定测量位置，并最终确定源位置。具体来说，我们调查源发现的拉普拉斯运营商，虽然该方法可以应用于更一般的线性偏微分算子。我们提出了一种策略的情况下，障碍物是未知的，环境必须映射出使用范围传感器同时与源发现。
We consider the inverse problem of discovering the location of a source from very sparse point measurements in a bounded domain that contains impenetrable (and possibly unknown) obstacles. We present an adaptive algorithm for determining themeasurement locations, and ultimately, the source locations. Specifically, we investigate source discovery for the Laplace operator, though the approach can be applied to more general linear partial differential operators. We propose a strategy for the case when the obstacles are unknown and the environment has to be mapped out using a range sensor concurrently with source discovery.