测绘学报
測繪學報
측회학보
ACTA GEODAETICA ET CARTOGRAPHICA SINICA
2015年
1期
91-98
,共8页
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
調和反距離權重%等值線繪製%空間插值%遮蔽效應%反距離權重
조화반거리권중%등치선회제%공간삽치%차폐효응%반거리권중
adjusted inverse distance weighted%contour plotting%spati al interpol ation%shading effect%inverse distance weighted
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。
針對反距離權重(IDW)空間插值在實際應用中存在的缺陷,本文對IDW插值算法進行瞭優化改進,提齣瞭調和反距離權重(AIDW)空間插值方式。該插值方式在傳統IDW的算式中增加瞭反映樣點方位的調和權重繫數 K,其插值過程綜閤攷慮瞭樣點距離和樣點方位對插值點的共同影響。理論分析和實例應用錶明:AIDW插值方式可減小或剋服樣點分佈不均的IDW插值缺陷,使離散點的空間插值結果更趨于閤理,其等值線繪製亦可有效避免傳統IDW插值中的孤立圓及同心圓現象,使等值線的繪製更接近于人工作業。
침대반거리권중(IDW)공간삽치재실제응용중존재적결함,본문대IDW삽치산법진행료우화개진,제출료조화반거리권중(AIDW)공간삽치방식。해삽치방식재전통IDW적산식중증가료반영양점방위적조화권중계수 K,기삽치과정종합고필료양점거리화양점방위대삽치점적공동영향。이론분석화실례응용표명:AIDW삽치방식가감소혹극복양점분포불균적IDW삽치결함,사리산점적공간삽치결과경추우합리,기등치선회제역가유효피면전통IDW삽치중적고립원급동심원현상,사등치선적회제경접근우인공작업。
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 .