顾及方向遮蔽性的反距离权重插值法

doi:10.11947/j.AGCS.2015.20130349

测绘学报 ›› 2015, Vol. 44 ›› Issue (1): 91-98.doi: 10.11947/j.AGCS.2015.20130349

顾及方向遮蔽性的反距离权重插值法

李正泉, 吴尧祥

浙江省气候中心, 浙江杭州 310017

收稿日期:2013-12-05 修回日期:2014-07-31 出版日期:2015-01-20 发布日期:2015-01-22
通讯作者: 吴尧祥 E-mail:wuyaoxiangzjcc@163.com
作者简介:李正泉(1978-), 男, 博士, 高级工程师, 研究方向为遥感与GIS生态气候学应用. E-mail: lzq110119@163.com
基金资助:
国家自然科学基金重点项目(90815028);中国气象局行业专项(GYHY201306050)

Inverse Distance Weighted Interpolation Involving Position Shading

LI Zhengquan, WU Yaoxiang

Zhejiang Climate Center, Hangzhou 310017, China

Received:2013-12-05 Revised:2014-07-31 Online:2015-01-20 Published:2015-01-22
Supported by:
The National Natural Science Foundation of China(No.90815028) China Meteorological Administation Special Fund(No.GYHY201306050)

摘要/Abstract

摘要：

针对反距离权重(IDW)空间插值在实际应用中存在的缺陷,本文对IDW插值算法进行了优化改进,提出了调和反距离权重(AIDW)空间插值方式.该插值方式在传统IDW的算式中增加了反映样点方位的调和权重系数K,其插值过程综合考虑了样点距离和样点方位对插值点的共同影响.理论分析和实例应用表明:AIDW插值方式可减小或克服样点分布不均的IDW插值缺陷,使离散点的空间插值结果更趋于合理,其等值线绘制亦可有效避免传统IDW插值中的孤立圆及同心圆现象,使等值线的绘制更接近于人工作业.

关键词: 调和反距离权重, 等值线绘制, 空间插值, 遮蔽效应, 反距离权重

Abstract:

Considering the shortcomings of inverse distance weighted (IDW) interpolation in practical applications, this study improved the IDW algorithm and put forward a new spatial interpolation method that named as adjusted inverse distance weighted (AIDW). In interpolating process, the AIDW is capable of taking into account the comprehensive influence of distance and position of sample point to interpolation point, by adding a coefficient (K) into the normal IDW formula. The coefficient (K) is used to adjust interpolation weight of the sample point according to its position in sample points. Theoretical analysis and practical application indicates that the AIDW algorithm could diminish or eliminate the IDW interpolation defect of non-uniform distribution of sample points. Consequently the AIDW interpolating is more reasonable, compared with the IDW interpolating. On the other hand, the contour plotting of the AIDW interpolation could effectively avoid the implausible isolated and concentric circles that originated from the defect of the IDW interpolation, with the result that the contour derived from the AIDW interpolated surface is more similar to the professional manual identification.

Key words: adjusted inverse distance weighted, contour plotting, spatial interpolation, shading effect, inverse distance weighted

中图分类号:

P283

李正泉, 吴尧祥. 顾及方向遮蔽性的反距离权重插值法[J]. 测绘学报, 2015, 44(1): 91-98.

LI Zhengquan, WU Yaoxiang. Inverse Distance Weighted Interpolation Involving Position Shading[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(1): 91-98.

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顾及方向遮蔽性的反距离权重插值法

Inverse Distance Weighted Interpolation Involving Position Shading

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