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本文提出一种计算物探异常导数的新方法——局部坐标样条函数法。所谓局部坐标样条函数是指平面上有一组有序点列，把相邻节点用直线两两相连，以两点之间的弦线为横坐标，与之垂直的直线为纵坐标，建立曲线方程，并使其在内节点处具有一定的连续性，则称此曲线方程为局部坐标下的样条函数。由局部样条函数计算的导数，还需要利用方向导数转换到观测平面坐标下的导数，才能适合实际应用。这种方法具有适应于大陡度异常的优点，计算精度很高，比用B样条函数获得的结果还高一个级次。
In this paper, we propose a new method of calculating geophysical anomalous derivatives - the local coordinate spline method. The so-called local coordinate spline function refers to a group of ordered point sequence on the plane, the adjacent nodes connected with a straight line two by two, the string between the two lines as abscissa, vertical line with the vertical axis, the establishment of the curve Equation, and make it have a certain continuity in the inner node, then call this curve equation spline function under local coordinate. Derivatives calculated by the local spline function, but also need to use the derivative of the direction of the conversion to observation plane coordinate in order to fit the practical application. This method has the advantage of adapting to the large steepness anomaly with high accuracy and one order of magnitude higher than the result obtained with the B-spline function.