顾及起算数据误差的整体最小二乘法及软件研制

发布时间：2018-02-14 03:45

本文关键词： 起算数据整体最小二乘坐标转换任意平面网　出处：《西南交通大学》2013年硕士论文　论文类型：学位论文

【摘要】：起算数据误差一直是测量平差数据处理中的一个重要组成部分,不管是在多级网的建立还是在扩展网的建立还是在任何需要使用到起算数据的数据处理过程中,只要起算数据存在不可忽视的误差,就都需要我们对这部分误差加以重视并进行处理。本文首先梳理了起算数据误差处理的发展历程以及近年来提出的一些处理方法,并分析比较了这些方法的优劣。然后介绍了几年来发展比较迅速的整体最小二乘平差方法,分析出了整体最小二乘平差法和处理平面网中起算数据误差之间的相关性,运用整体最小二乘平差法来处理平面网起算数据存在误差的情况,推导出了相关的公式,并使用算例证明了此方法处理起算数据带有误差的平面网平差是确实有效的。然后研究了坐标转换中如何处理起算数据误差,当原坐标系的非公共点坐标和两个坐标系中公共点坐标都存在误差时,使用一种无缝三维转换方法来进行转换,可以有效的处理以上坐标误差,使用算例证明了此方法的坐标转换精度是高于普通方法的。并推导了其在二维转换中的计算公式。最后,总结了平面网中各种网型的编程处理方法,并使用Visual C＋＋编写了任意平面网平差计算软件。
[Abstract]:Starting data error has always been an important part of the measurement adjustment data processing, whether in the establishment of multi-level network, in the establishment of extended network or in any data processing process that needs to use the starting data. So long as there are some errors in the starting data, we should pay attention to them and deal with them. In this paper, the development history of error processing of starting data and some processing methods proposed in recent years are reviewed, and the advantages and disadvantages of these methods are analyzed and compared. Then, the overall least square adjustment method, which has been developing rapidly in recent years, is introduced. The correlation between the global least square adjustment method and the starting data error in the processing plane network is analyzed. The global least square adjustment method is used to deal with the error of the starting data in the plane network, and the relevant formulas are derived. An example is used to prove that this method is effective in processing the adjustment of plane network with errors in the starting data. Then, how to deal with the error of starting data in coordinate transformation is studied. When there are errors in the non-common point coordinate of the original coordinate system and the common point coordinate in the two coordinate systems, a seamless three-dimensional transformation method is used to transform. It can deal with the above coordinate errors effectively, and it is proved that the accuracy of coordinate transformation is higher than that of the common method by using a numerical example, and its calculation formula in two-dimensional conversion is deduced. Finally, the programming methods of various network types in planar network are summarized, and the adjustment calculation software of arbitrary plane network is compiled by using Visual C + +.
【学位授予单位】：西南交通大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：P207

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