按方位取点局部多重二次曲面插值

Local Multi-quadric Curving Interpolation with Searching Data on Orientation

数据网格化是地质、测绘以及物化探中广泛应用的基本方法,网格化结果的好坏直接影响着其它数据处理方法和计算机成图。本文考虑到多重二次曲面拟合法对数据分布的局部特征具有过分平滑的缺点,提出了按方位取点局部多重二次曲面插值算法。它在待插点附近采用按方位取点来构造局部多重二次曲面,可以很好的改善原有方法的不足。最后,通过实例验证表明,该方法网格化效果较好,是一种值得推广使用的方法。

Data gridding is a widely used method in geology,topography and geophysical and geochemical exploration, because good or bad results of data gridding will directly influence other data processing methods and computer plot. We considered that multi-quadric curving fitting method has its disadvantage of excessively smoothing to the local feature of data distributing. This paper puts forward the algorithm of local multi-quadric curving interpolation with searching data on orientation. It constructs local multi-quadric curving using the method of searching data points near the interpolation point, which can well improve the disadvantage of multi-quadric curving fitting method. At last, we verify the gridding result of the method that is worth to be widely used.