本文選題：實最小二乘平差　切入點：復矩陣求逆　出處：《大地測量與地球動力學》2016年08期

【摘要】：針對等精度獨立觀測條件下的同一平差問題,從理論上證明復數(shù)域與實數(shù)域最小二乘平差結(jié)果的等價性,并指出復平差方法在函數(shù)模型表達上的簡便特點。基于常用的圖像幾何校正多項式模型構(gòu)造復數(shù)域多項式模型,并設(shè)計一階和二階多項式圖像校正算例。結(jié)果表明,兩種方法的平差結(jié)果完全相同,但復數(shù)域平差方法的參數(shù)維數(shù)和法矩陣階數(shù)僅為實數(shù)域平差方法的一半。
[Abstract]:In view of the same adjustment problem under the condition of equal precision independent observation, the equivalence of the results of least square adjustment in complex field and real field is proved theoretically, and the simple characteristics of complex adjustment method in the expression of function model are pointed out.Based on the commonly used image geometric correction polynomial model, the complex domain polynomial model is constructed, and the first and second order polynomial image correction examples are designed.The results show that the adjustment results of the two methods are identical, but the parameter dimension and the normal matrix order of the complex domain adjustment method are only half of the real number domain adjustment method.
【作者單位】： 中國礦業(yè)大學國土環(huán)境與災害監(jiān)測國家測繪地理信息局重點實驗室;
【基金】：國家自然科學基金(41204011,41504032) 大地測量與地球動力學國家重點實驗室開放基金(SKLGED2014-3-2-E)~~
【分類號】：P207.2
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本文編號：1729289