基于反距离夹角加权算法的地理信息空间内插方法的探讨

文献1]认为反距离夹角加权空间内插方法能减弱甚至消除已知样本点在内插点全圆方位上分布不均及疏密不匀对内插值的影响,保证内插值接近近点值,将广泛应用在建立DEM及图像处理等地理空间信息数据内插中。本文通过理论分析和实例验证发现:只有当点位分布完全符合文献1]中的情况时,内插结果才比较好;反之,该方法违背了美国地理学家W.R.Tobler提出的地理学第一定律。距离待插值点近的点权反而小;距离远的点权反而大,因此,该方法不具有普适性和推广性,其理论仍待完善。

On"Study of Geographic Information Spatial Interpolation Methods Using the Weighted Algorithm of Inverse Distance and Angle"

The article 1] thought the method of Weighted Algorithm of Inverse Distance and Angle could overcome the influence of uneven distribution and uneven density of interpolation on the known sample points with interpolation point full circle range .Also it thought the method can be widely used in DEM and image processing .But the author proved only when the points is distributed the same as the article 1] ,the results are better.On the contrary that the method against the First Law of Geography which proposed by geographer W.R.Tobler from USA.So by the point,it shows that the method is not of universality and generalization and the theory needs further perfection .