中文摘要：

在概略讨论地面曲面本身特性的基础上,指出地面曲面本身并非是具有较高光滑度的单纯曲面,而应看作为由结构线连接而成的低次曲面片组合;着重深入分析了地面已知数据的准确性,指出计算稳定性问题是采用内插DEM必须要重视的重要问题;同时还论述了内插方法必须要具有高程序同构特性的保证;相对而言,各种内插方法都具有一定的逼近性,在实际数据较为密集的条件下较为宽松。

英文摘要：

This paper discusses several important factors in selecting interpolation methods.Firstly,the characteristics of the ground surface are briefly discussed.Ground surface is not a single surface with a high level of smoothness,but a combination of many low-order surface patches that connected with each boundary edge.Then,the accuracy of the given ground data is analyzed,and calculation stability is one important problem which must be evaluated in DEM interpolation.Finally,it states that the ability of preserving the topographic orderliness by the interpolation method is necessary to be considered.Relatively speaking,various interpolation methods can provide an acceptable approximation behaviour if the sampled points is dense enough,but it is suggested that the high-order interpolation should be used carefully.