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散乱数据插值的HASM方法
引用本文:宋敦江,岳天祥,龚云,杜正平.散乱数据插值的HASM方法[J].地球信息科学,2007,9(3):45-51.
作者姓名:宋敦江  岳天祥  龚云  杜正平
作者单位:1. 中国科学院地理科学与资源研究所, 北京 100101; 2. 西安科技大学, 西安 710054; 3. 中国科学院数学研究所, 北京 100080
基金项目:国家重点基础研究发展计划(973计划) , 国家自然科学基金
摘    要:本文运用高精度曲面建模(HASM)方法,研究了空间散乱数据插值算法,并以陕西咸阳彬县大佛寺煤矿区的实测数据为案例,使用交叉统计检验方法比较分析HASM方法与地理信息系统(GIS)领域中常用传统插值方法的空间插值结果。结果表明,HASM方法具有较高的精度。本文还分析了传统常用插值方法的一些统计结果,得出一些结论,这些结论对于使用常用传统GIS空间插值方法的研究者有很好的参考作用。

关 键 词:散乱数据插值  地理信息系统  HASM  交叉验证  误差分析  
收稿时间:2006-04-23;
修稿时间:2006-04-232006-06-26

Interpolation of Scattered Data Using the Method of HASM
SONG Dunjiang,YUE Tianxiang,GONG Yun,DU Zhengping.Interpolation of Scattered Data Using the Method of HASM[J].Geo-information Science,2007,9(3):45-51.
Authors:SONG Dunjiang  YUE Tianxiang  GONG Yun  DU Zhengping
Institution:1. Institute of Geographic Sciences and Natural Resources Research,CAS, Beijing 100101, China; 2. Xi’an University of Science and Technology,Xi'an 710054, China; 3. Institute of Mathematics,CAS, Beijing 100080, China
Abstract:Based on the method of HASM (High Accuracy Surface Modelling), this paper developed an algorithm for interpolation of spatially scattered data. A case study is given at a coal mine which is near the Dafo Temple, Binxian county, Xianyang city of Shaanxi province, which compared and analyzed the spatial interpolation results from the method of HASM with those from other conventional interpolation methods. Statistical cross-validation is used to compare interpolation results from different methods. Comparisons show that the method of HASM has a better accuracy. This paper also analyzed many statistical results of other conventional interpolation methods and some conclusions are drawn which are useful for researchers employing conventional GIS spatial interpolation methods.
Keywords:scattered data interpolation  geographical information system (GIS)  high accuracy surface modelling  cross-validation  error analysis
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