顾及方向遮蔽性的反距离权重插值法

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。

Inverse Distance Weighted Interpolation Involving Position Shading

Considering the shortcomings of inverse distance weighted (IDW) interpolation in practical applications ,this study improved the IDW algorithm and put forward a new spati al interpol ation method that named as adjusted inverse distance weighted (AIDW) .In interpolating process ,theAIDWis 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 nterpolation could effectively avoid the implausible isolated and concentric circles that originated from the defect of the IDW interpol ation ,with the result that the contour derived from the AIDW interpol ated surface is more simil ar to the professional manual identification .