基于地形要素的三维薄板样条插值方法研究——以广东省降水量空间分布为例  

3D TPS Interpolation Based on the Terrain Factor——A Case from the Spatial Distribution of Precipitation in Guangdong Province

作　　者：杜国明[1] 

机构地区：[1]中山大学地理科学与规划学院广东省城市化与地理环境空间模拟重点实验室,广州510275

出　　处：《灌溉排水学报》2016年第1期74-78,共5页Journal of Irrigation and Drainage

基　　金：国家科技支撑计划项目(2015BAK11B02);广东省科技厅科技计划项目(20153700042020432);中山大学本科教学改革研究课题(37000-16300012)

摘　　要：将海拔高程引入到薄板样条函数中,建立三维薄板样条模型(3DTPS),并借助地理信息系统对广东省降水量进行空间插值。以广东省气象站分布图、90m×90m数字高程模型(DEM)为实验数据,以Visual Basic.Net为平台,ArcGIS Engine为二次开发工具,提取DEM的海拔高程值以及广东省气象站点的经纬度坐标和年均降水量,用3DTPS进行空间插值,最后生成等间距的广东省年均降水量分布图。通过交叉实验,与普通TPS、反距离加权法、克里金插值进行对比分析,用均方误差作为评价指标,得出3DTPS插值精度最高。The elevation was added into the thin plate spline function,and three-dimensional thin plate spline model（3DTPS）was established to interpolate the annual mean precipitation in Guangdong province based on GIS in order to reduce the error which was produced without the elevation factor and improve the interpolation precision.The experiment data included spatial distribution of meteorological stations and digital elevation model（DEM）with the resolution 90 m×90 min Guangdong province.The control of ArcGIS Engine was used as a secondary development tool based on Visual Basic.Net language.The elevation values were extracted from DEM and geographical coordinates,and annual mean precipitation values were extracted from spatial distribution map of meteorological stations in Guangdong province.Then,the3 DTPS model was used to interpolate and produce the spatial distribution map of annual mean precipitation in Guangdong Province.From the comparison of different interpolation models such as ordinary TPS,IDW and Kriging based on cross validation experiment,it was concluded that the 3D TPS model had the highest interpolation precision.

关 键 词：海拔高程 三维薄板样条函数 插值 降水量 

分 类 号：P208[天文地球—地图制图学与地理信息工程] P426.6[天文地球—测绘科学与技术]