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利用MLSC法求解高程异常
引用本文:李冲,张勤,魏玉明,刘站科. 利用MLSC法求解高程异常[J]. 测绘科学, 2008, 33(1): 43-44,70. DOI: 10.3771/j.issn.1009-2307.2008.01.012
作者姓名:李冲  张勤  魏玉明  刘站科
作者单位:长安大学地质工程与测绘工程学院,西安,710054;国家测绘产品质量监督检验测试中心,成都,610081;长安大学地质工程与测绘工程学院,西安,710054
基金项目:地球空间环境与大地测量教育部重点实验室课题 , 交通部科技计划
摘    要:运用常规的拟合模型求解大范围高程异常必然存在较大的模型误差,鉴于模型误差的不确定性,可以将模型误差看作信号采用最小二乘配置法来处理,最小二乘配置中协方差函数的确定是一个比较棘手的问题,介于此,本文提出了移动最小二乘配置法,对不同的待定点建立不同的配置模型,并通过定权的方式解决复杂的协方差函数计算问题,对一个大测区的部分GPS水准数据进行解算,获得了满意的结果。

关 键 词:高程异常  模型误差  移动最小二乘配置  信号  协方差函数
文章编号:1009-2307(2008)01-0043-03
收稿时间:2006-04-10
修稿时间:2006-04-10

Obtaining height anomaly by using mobile least square collocation model
LI Chong,ZHANG Qin,WEI Yu-ming,LIU Zhan-ke. Obtaining height anomaly by using mobile least square collocation model[J]. Science of Surveying and Mapping, 2008, 33(1): 43-44,70. DOI: 10.3771/j.issn.1009-2307.2008.01.012
Authors:LI Chong  ZHANG Qin  WEI Yu-ming  LIU Zhan-ke
Abstract:The model error exists inevitably in the general model of large-scale height anomaly fitting.Considering the indeterminacy of the errors,we may resolve the problem by taking the errors for signal with the model of least square collocation.The design of covariance function is a very intractable problem.Because of this, this paper has proposed a new method which called moving least square collocation.The method designs different model due to different unknown points.By this way, we could obtain the covariance function by computing the weight.We have used this method to resolve some problems based on the GPS level data from a large measured area, and gained satisfying result.
Keywords:height anomaly  model errors  mobile least square collocation  signal  covariance function
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