基于动态Voronoi图的距离倒数加权法的改进研究
Improvement Research on Inverse Distance Weighting Method Based on Dynamic Voronoi Diagram
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摘要: 针对距离倒数加权法的不足,采用动态Voronoi图选取待插值点的邻近点,对每个已知数据点增加反映该点梯度的增量,并建立已知数据点的ε邻域避免计算误差,以改进距离倒数加权法,为距离倒数加权法的广泛应用创造条件。通过交叉检验与实际应用,证实利用改进后的距离倒数加权法进行空间数据插值精度更高,效果更为理想。Abstract: In the light of the shortage of traditional inverse distance weighting method, this paper proposes to use the dynamic Voronoi method to select neighboring points to be interpolated point, to add increment reflecting the gradient to every known data points, and to creat neighborhood of the known data points to avoid calculation error. The result of cross inspection shows that improved inverse distance weighting method is better than the traditional one.