| 顾及粗差的最佳曲面迭代拟合方法探讨 |
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| 引用本文： | 赵超英,张勤,闫丽. 顾及粗差的最佳曲面迭代拟合方法探讨[J]. 工程勘察, 2005, 0(3): 50-52,65 |
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| 作者姓名： | 赵超英 张勤 闫丽 |
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| 作者单位： | 长安大学地测学院,西安,710054;煤炭科学研究总院西安分院,西安,710054 |
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| 基金项目： | 地球空间环境与大地测量教育部重点实验室测绘基础研究基金 (14 6 9990 32 4 2 33 0 4 0 2 ) . |
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| 摘 要： | 在数据处理中经常遇到拟合问题,但拟合所采用的数据往往又存在系统误差或粗差,如何区分拟合函数模型误差和拟合数据粗差是值得讨论的问题。本文基于现有的粗差拟准检定法(QUAD)探测粗差准确的优点和判断函数模型的准则理论,提出一种顾及粗差的迭代拟合方法,先确定曲面拟合的函数模型,在此基础上进行粗差探测并剔除,然后进一步进行曲面拟合,以达到曲面函数优选的目的。最后以GPS高程异常拟合为例进行验证,得到了预期的结果。
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| 关 键 词： | 粗差拟准检定法 函数模型 拟合 |
Discussion on the Iteration Fitting Method in Consideration of Function Model Error & Gross Error |
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| Zhao Chaoying et al.. Discussion on the Iteration Fitting Method in Consideration of Function Model Error & Gross Error[J]. Geotechnical Investigation & Surveying, 2005, 0(3): 50-52,65 |
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| Authors: | Zhao Chaoying et al. |
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| Affiliation: | Zhao Chaoying et al. |
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| Abstract: | Fitting in data processing is a common problem, however there always exists systematic errors and gross errors in data used for fitting. Therefore, it is worthwhile to identify the model error from gross ones. Based on the Quasi Accurate Detection of Gross Errors(QUAD) and the law of optimization to the function errors, this paper presents an iteration fitting method in consideration of function model error and gross error, in which the function model is given firstly, then, QUAD method used, after gross errors are eliminated, the fitting model can be optimally selected. And a case study of GPS height anomaly fitting is given and good result reached. |
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| Keywords: | QUAD Function model fitting |
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