沿道路/街道探测的城市电磁辐射径向基函数延展空间插值方法研究

Detecting data along urban roads/streets is the main sampling method for urban electromagnetic radiation. Such data has an overall surface distribution, but the local distribution is linear. There are large vacancy in the middle of the sampled data. How to perform reliable urban electromagnetic field interpolation reconstruction for such sampled data is an important issue in spatial analysis. As an accurate interpolation method, Radial Basis Function (RBF) is suitable for spatial interpolation with a small number of observations. RBF method has the advantage of filling the vacant area. This project takes the urban electromagnetic radiation detected along roads/streets as a data source. Based on RBF spatial interpolation theory, the extended spatial interpolation method for urban electromagnetic radiation detection data is studied. Firstly, the layering method of sampling points set based on evenly distribution is constructed. Secondly, the optimal shape parameter computation model and solution method for the conditional positive RBF interpolation model is derived. Finally, the RBF extended spatial interpolation method for urban electromagnetic radiation detection data is constructed, and the electromagnetic field of urban electromagnetic radiation is reconstructed on this basis. The realization of this project can provide a scientific and reliable interpolation method for spatial analysis of urban electromagnetic radiation geography environment.

城市电磁辐射采样方式通常以沿城市道路/街道探测数据进行，这类数据整体呈面状分布，局部呈线状分布，采样数据中间存在较大的空缺。如何针对这类采样数据进行可靠的城市电磁场插值重建是空间分析的重要问题。径向基函数（Radial Basis Function，RBF）作为一种精确性插值方法，适合于观测数量较少情况下的空间插值，具有对空缺区域进行填充的优点。本项目以沿道路/街道探测的城市电磁辐射为数据源，利用RBF空间插值理论，研究顾及均匀性因子的插值参考点点集构建与分层方法、推导条件正定RBF插值模型下最优形态参数计算表达式和求解方法，实现面向城市电磁辐射探测数据的RBF延展空间插值方法，最终重建城市电磁辐射的电磁场。本项目的实现能为城市电磁辐射地理环境空间分析提供一种科学、可靠的插值方法。

城市电磁辐射值通常以沿城市道路/街道探测方式进行，这类数据整体呈面状分布，局部呈线状分布，采样数据中间存在较大的空缺。针对这类采样数据进行可靠的城市电磁辐射插值重建是本项目需解决的问题。在采样数据分布不均的情况下径向基函数（Radial Basis Functions，RBF）也能有较高的插值精度。本项目基于RBF理论，提出了一种分层径向基函数(Layered RBF，LRBF)空间插值方法，用于沿城市道路/街道探测的电磁辐射空间场重建。方法根据LRBF空间插值计算表达式，分析了其空间插值精度主要受三个方面因素的影响：格网点密度、分层间隔距离、RBF最优形态参数。在此基础上，针对上述主要存在的三个问题，开展了电磁辐射空间场重建一系列研究工作。项目通过由外向内分层插值构建采样数据范围内规则格网点，然后对规则格网点进行分层，其次在分层的基础上利用LRBF方法分层生成格网点的电磁辐射值，最后采用RBF由外向内的延展空间插值，实现了沿城市道路/街道探测电磁辐射的空间场重建。与现有空间插值方法相比，本项目提出的空间场重建方法，可为未来电磁辐射环境风险制图提供一种较为准确的空间插值评估方法。