顧及起算數據誤差的整體最小二乘法及軟件研制
發(fā)布時間:2018-02-14 03:45
本文關鍵詞: 起算數據 整體最小二乘 坐標轉換 任意平面網 出處:《西南交通大學》2013年碩士論文 論文類型:學位論文
【摘要】:起算數據誤差一直是測量平差數據處理中的一個重要組成部分,不管是在多級網的建立還是在擴展網的建立還是在任何需要使用到起算數據的數據處理過程中,只要起算數據存在不可忽視的誤差,就都需要我們對這部分誤差加以重視并進行處理。 本文首先梳理了起算數據誤差處理的發(fā)展歷程以及近年來提出的一些處理方法,并分析比較了這些方法的優(yōu)劣。然后介紹了幾年來發(fā)展比較迅速的整體最小二乘平差方法,分析出了整體最小二乘平差法和處理平面網中起算數據誤差之間的相關性,運用整體最小二乘平差法來處理平面網起算數據存在誤差的情況,推導出了相關的公式,并使用算例證明了此方法處理起算數據帶有誤差的平面網平差是確實有效的。 然后研究了坐標轉換中如何處理起算數據誤差,當原坐標系的非公共點坐標和兩個坐標系中公共點坐標都存在誤差時,使用一種無縫三維轉換方法來進行轉換,可以有效的處理以上坐標誤差,使用算例證明了此方法的坐標轉換精度是高于普通方法的。并推導了其在二維轉換中的計算公式。 最后,總結了平面網中各種網型的編程處理方法,并使用Visual C++編寫了任意平面網平差計算軟件。
[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 + +.
【學位授予單位】:西南交通大學
【學位級別】:碩士
【學位授予年份】:2013
【分類號】:P207
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