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超定边值问题的样条解法
引用本文:边少锋,晁定波.超定边值问题的样条解法[J].测绘学报,1992,21(1):1-12.
作者姓名:边少锋  晁定波
作者单位:武汉测绘科技大学
摘    要: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。

关 键 词:超定边值问题  样条函数  水准面

SPLINE APPROXIMATION FOR THE OVERDETERMINEDBOUNDARY VALUE PROBLEM
Bian Shaofeng. Chao Dingbo.SPLINE APPROXIMATION FOR THE OVERDETERMINEDBOUNDARY VALUE PROBLEM[J].Acta Geodaetica et Cartographica Sinica,1992,21(1):1-12.
Authors:Bian Shaofeng Chao Dingbo
Institution:Wuhan Technical University of Surveying and Mapping
Abstract:: 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.
Keywords::The overdetermined boundary value problem  Spline functions  Geoid
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