摘要
数值逼近中的样条函数，由于其分段连续、逐段逼近，决定了它具有计算简单、精度高、数值稳定性高的诸多优点，得到了广泛的应用。本文采用样条函数逼近重力异常，然后给出了高程异常、重线偏差的积分表达式。采用B样条函数作为基函数，克服了以前采用样条函数的局限，突破了积分只能在中央区进行的局限，可将积分区域扩大到比较大的范围。为适应大规模计算，本文公式尽可能采用了阵列代数的形式。
:
The spline function in numerical approximation can be separated into continuous segments and approximation is made segment by segment. It thus has the advantages of simplicity in computation, high accuracy and high numerical stability and has received extensive use in many fields. In- this paper, the spline function is used to approximate gravity anomalies, then integral expressions for height anomalies and deflections of the vertical are given. By taking B-spline function as base function, integral can be made in a consideral large area, the previous limitation that integral can only be made in the central area is obviated.
All formulas in the paper are expressed in array algebra to facilitate extensive computation.
出处
《测绘学报》
EI
CSCD
北大核心
1990年第4期241-249,共9页
Acta Geodaetica et Cartographica Sinica
