超定边值问题的样条解法

SPLINE APPROXIMATION FOR THE OVERDETERMINEDBOUNDARY VALUE PROBLEM

正在进行和即将进行的大量GPS+Levelling测量使得大地水准面也成为直接观测量，因此经典的Molodensky天文重力水准已经不能适应这一情况。为了从更广泛的意义上更好地利用各类观测值，本文使用样条函数作为基函数，讨论了局部地区超定边值问题的样条解法。

: As more and more GPS stations have been and will be colocated with leveling bench marks, height anomalies or geoid heights JV tend to be direct observables. Therefore,, traditional Molodensky's astro-gravimetric leveling becomes unsuitable for this new situation. To make full use of various data, the B-Spline approximation for the local overdetemined boundary value problem is presented and investigated in the paper.