气象学报2012，Vol.70Issue(6)：1390-1400,11.
Delaunay三角剖分法在降水量插值中的应用
Delaunay triangulated method with an application to the precipitation interpolation
摘要
Abstract
Delaunay triangulated method plays an important role in the spatial analysis. The characteristic of Delaunay triangu-lation and three kinds of generation algorithm are introduced in this article. The stochastic growth algorithm is also discussed in detail. Based on the principle of the triangulated slice linear interpolation the coefficient is attained and thus the value at an arbitrary point can be calculated through the triangulated slice linear interpolation algorithm. By using the daily precipitation data of the 2400 stations over China in 2008, the interpolation cross verification for the precision of interpolation is made between the triangulated slice linear interpolation algorithm and the inverse distance weighting for the whole China and the eight regions divided in China. The results show that the root mean square error of the triangulated slice linear interpolation algorithm is smaller for the various regions, and it has higher accuracy in the root mean square error and the mean absolute error in the concentrated site. For average error, triangulated slice linear interpolation algorithm has a highlighted high precision and the possible cause is discussed. The value of annual mean error is 0. 005 mm and — 0. 107 mm for the triangulated slice linear interpolation and the inverse distance weighting method, respectively. It is also showed that the rationality of the triangulated slice linear interpolation algorithm. In the meanwhile, the three dimensional structure and the grid field on triangulated slice linear interpolating are showed in graph as well. The results showed that the figures calculated by the triangulated slice linear interpolation algorithm maintain consistency with the observation and have good visual effects. The precipitation distribution grid field by the triangulated slice interpolation gets rid of the inherent defect of the inverse distance weighting, thus improving the precision of interpolation. Finally, the application prospect of Delaunay triangulation in meteorology is discussed.关键词
Delaunay三角剖分法/三角分片线性插值/反距离权重法/降水量Key words
Delaunay triangulated networks/Triangulated slice linear interpolation algorithm/Inverse distance weighting/Precipitation分类
天文与地球科学引用本文复制引用
熊敏诠..Delaunay三角剖分法在降水量插值中的应用[J].气象学报,2012,70(6):1390-1400,11.基金项目
中国气象局"精细化要素预报用户支撑环境系统改进与推广应用"、公益性行业(气象)科研专项(GYHY201106010、GYHY201106027). （气象）
