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权重对空间插值方法的影响分析 被引量:23

Analysis on Impact of Weight to Spatial Interpolation Methods
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摘要 GIS软件中包含了一些通用的空间插值方法模板,用户在使用空间插值方法时由于参数选取不当可能带来误差,例如:IDW法的幂指数默认值为2,但实验证明幂指数为2并不一定是最佳的.以反距离加权平均法和样条函数为例进行研究,结果表明:IDW法权重的选择对插值结果有很大的影响,幂指数的选择要根据研究区域的具体情况确定;在插值点稀少或数据缺乏的地区,适当的提高IDW的幂指数值可以提高插值精度;相比IDW法,样条函数法更适合应用于表面逐渐变化的情况,如:温度、高程、地下水位温度、污染浓度等. GIS software consists of some generic interpolation methods model. When the users use the interpolation methods, because of the inappropriate parameters, it leads to unnecessary error. For example, the IDW, its default value of exponential is 2, but experiments prove that 2 is not the best. The problems were discussed by Anti-distance weighted average method and examples of spine function , the conclusion shows that, (1)The choice of weights of IDW has great impact on interpolation results, we must choose the exponent according to the specific circumstances of the regional that we surveyed ; (2) In some areas ,the interpolation points are scarce or lack of data, to increase the exponential value of IDW appropriately can improve its precision. ; ( 3 ) Compare to IDW, Spine is more suitable for these situations that surface changes are gradually, such as temperature, elevation, groundwater temperature, concentration of pollution and so on.5ftgs., 2tabs., 8refs.
出处 《湖南科技大学学报(自然科学版)》 CAS 北大核心 2008年第4期77-80,共4页 Journal of Hunan University of Science And Technology:Natural Science Edition
基金 国家自然科学基金资助项目(40671153) 湖南省自然科学基金资助项目(07JJ3085)
关键词 IDW法 规则样条函数 张力样条函数 幂指数 权重 IDW regularized spine tension spine exponential weight
作者简介 王勇(1964-),男,重庆人,博士生,工程师,主要从事3DGIS应用与软件开发研究.
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  • 1于贵瑞,何洪林,刘新安,牛栋.中国陆地生态信息空间化技术研究(Ⅰ)——气象/气候信息的空间化技术途径[J].自然资源学报,2004,19(4):537-544. 被引量:69
  • 2游松财,李军.海拔误差影响气温空间插值误差的研究[J].自然资源学报,2005,20(1):140-144. 被引量:61
  • 3方书敏,秦将为,李永飞,杨太保.基于GIS的甘肃省气温空间分布模式研究[J].兰州大学学报(自然科学版),2005,41(2):6-9. 被引量:36
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