基于规则六面体的三维空间数据插值方法

地学现象本质上是分布于三维空间的数据场.利用有限的三维采样观测结果,通过三维空间内插是分析和模拟三维空间现象分布和变化特征的重要手段.本文利用规则六面体对三维空间进行离散,采用三维空间移动插值法,以六面体格网顶点为中心,以可变半径球形窗口搜索足够数量的邻近采样点,按距离权倒数内插函数计算待定点的属性.文中给出了该算法的具体实现以及插值结果的可视化表现,证明这种三维空间插值方法是行之有效的,且符合空间现象的空间分布特点.

Three Dimensional Interpolation Based on Regular

Geo-phenomena is essentially data field distributed in three dimension space. It is an important technique to analyze and simulates the distribution or mutative characteristic of three dimension geo-phenomena by spatial interpolation with limited sampling points. A three dimension interpolation method is discussed in this paper. The three dimension space is discredited into regular hexahedrons, and each vertex is taken as the interpolating point. At each interpolating point, a sphere with alterable radius is used to search enough adjacent sampling points to interpolate the attribute of this point using weighted distance interpolation function. The practical realization and the example show that this method is effective and accords with the space distribution characteristics of geo-phenomenon.