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顧及起算數(shù)據(jù)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(guān)鍵詞: 起算數(shù)據(jù) 整體最小二乘 坐標轉(zhuǎn)換 任意平面網(wǎng) 出處:《西南交通大學(xué)》2013年碩士論文 論文類型:學(xué)位論文


【摘要】:起算數(shù)據(jù)誤差一直是測量平差數(shù)據(jù)處理中的一個重要組成部分,不管是在多級網(wǎng)的建立還是在擴展網(wǎng)的建立還是在任何需要使用到起算數(shù)據(jù)的數(shù)據(jù)處理過程中,只要起算數(shù)據(jù)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(shù)據(jù)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(wǎng)中起算數(shù)據(jù)誤差之間的相關(guān)性,運用整體最小二乘平差法來處理平面網(wǎng)起算數(shù)據(jù)存在誤差的情況,推導(dǎo)出了相關(guān)的公式,并使用算例證明了此方法處理起算數(shù)據(jù)帶有誤差的平面網(wǎng)平差是確實有效的。 然后研究了坐標轉(zhuǎn)換中如何處理起算數(shù)據(jù)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(zhuǎn)換方法來進行轉(zhuǎn)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(zhuǎn)換精度是高于普通方法的。并推導(dǎo)了其在二維轉(zhuǎn)換中的計算公式。 最后,總結(jié)了平面網(wǎng)中各種網(wǎng)型的編程處理方法,并使用Visual C++編寫了任意平面網(wǎng)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(xué)位授予單位】:西南交通大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2013
【分類號】:P207

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