应用计算机“推导”位场圆滑滤波及二次导数公式的方法

根据台劳级数展开式，将窗口内网格结点位场数据在计算点展开，且对应点两两相加，由最小二乘法求得窗口内网格结点的圆滑滤波算子和二次导数算子，将此算子与观测的位场数据褶积，就可得到位场圆滑后的数据及水平、垂直二次导数。

A METHOD AND PROGRAM TO OBTAIN POTENTIAL FIELD SMOOTH FILTER AND SECOND DERIVATIVE FORMULA BY COMPUTER

Potential field data at gridpoints in the window can be expanded at calculation points by the Taylor series expansion formula. Then, the data at a gridpoint will be added to that at a corresponding point. A smooth filter and second derivative operator for gridpoints in the window can be calculated by the least square method. This operator is convoluted with the observed potential field data to obtain the data of the smooth and horizontal and vertical second derivative of the potential field.