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地理科学    2016, Vol. 36 Issue (4): 597-602     DOI: 10.13249/j.cnki.sgs.2016.04.014
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丘陵地貌区高程内插适宜方法选择——以长春净月潭为例
费龙1(),田秋艳2
1.长春师范大学城市与环境科学学院,吉林 长春 130032
2.中国人民解放军装甲兵技术学院电子工程系,吉林 长春 130117
The Choose of Altitude Interpolation Appropriate Methods at Hills Landform Area:Taking the Jingyuetan Area of Changchun as An Example
Long Fei1(),Qiuyan Tian2
1.College of Urban and Environment Sciences, Changchun Normal University, Changchun 130032, Jilin, China
2. Department of Electronic Engineering, Armor Technique Institute of Chinese People’s Liberation Army, Changchun 130017, Jilin, China
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摘要 

对不同的地貌区进行空间内插时选择的适宜方法不同,以典型丘陵地貌区长春市净月潭地区的高程为研究对象,用ArcGIS 9.2分别作反距离权重法、最近邻点法、趋势面分析和克里金法做高程内插。应用交叉检验方法对其内插的精度作出分析,检验其科学性和可靠性,得出反距离权重法、最近邻点法、趋势面法、样条函数法和克里金法高程内插的不同精度,并对各种方法的适用性进行讨论。结果表明最近邻点法精度最高,以下依次为普通克里金插值法、样条函数、反距离权重法、趋势面法。为类似于净月潭地区的丘陵地貌区高程内插提供选择参考。

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费龙
田秋艳
关键词 空间内插反距离权重法趋势面分析克里金内插法 
Abstract

The suitable method used to realize spatial interpolation of different landforms is different. Elevation of Changchun Jingyuetan area is the research object, this area is typical hilly and gully region,we interpolated elevation with inverse distance weighting, nearest neighbor,trend interpolation and Kriging on ArcGIS9.2. We obtained the accuracy of elevation of inverse distance weighting method, nearest neighbor, trend surface method, spline function and Kriging with Cross Validation, the conclusion is the nearest neighbor is the most accurate, followed Kriging, spline function, elevation of inverse distance weighting method, trend surface method. This research provide reference of selection for interpolation of the elevation data such as Jingyuetan area of hill landform.

Key wordsspatial interpolation    IDW    trend interpolation    Kriging
收稿日期: 2015-11-23      出版日期: 2016-07-21
基金资助:吉林省科技发展计划项目(20130101114JC)、吉林省教育厅十二五计划自然科学项目(吉教科合字[2014]第262 号)、长春师范大学自然科学基金项目(长师大自科合字[2010]第005 号)资助。
引用本文:   
费龙, 田秋艳 . 丘陵地貌区高程内插适宜方法选择——以长春净月潭为例[J]. 地理科学, 2016, 36(4): 597-602.
Long Fei, Qiuyan Tian . The Choose of Altitude Interpolation Appropriate Methods at Hills Landform Area:Taking the Jingyuetan Area of Changchun as An Example[J]. SCIENTIA GEOGRAPHICA SINICA, 2016, 36(4): 597-602.
链接本文:  
http://geoscien.neigae.ac.cn/CN/10.13249/j.cnki.sgs.2016.04.014      或      http://geoscien.neigae.ac.cn/CN/Y2016/V36/I4/597
Fig.1  研究区等高线图
Fig.2  研究区高程点数据图
Fig.3  交叉验证原理
Fig.4  反距离权重法检验结果
Fig.5  趋势面分析法检验
Fig.6  最近邻点法检验结果
Fig.7  张力样条函数内插与原等高线对比结果
Fig.8  规则样条函数检验结果
Fig.9  普通克里金法检验结果
内插方法 ME SD
反距离权重法 0.71 1.118
趋势面法 1.40 1.297
最近邻点法 0.27 1.365
张力样条函数 0.32 1.221
规则样条函数法 0.35 1.244
普通克里金插值法 0.30 1.042
Table 1  交叉验证数据表
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