本文選題：實(shí)最小二乘平差　切入點(diǎn)：復(fù)矩陣求逆　出處：《大地測(cè)量與地球動(dòng)力學(xué)》2016年08期

【摘要】：針對(duì)等精度獨(dú)立觀測(cè)條件下的同一平差問(wèn)題,從理論上證明復(fù)數(shù)域與實(shí)數(shù)域最小二乘平差結(jié)果的等價(jià)性,并指出復(fù)平差方法在函數(shù)模型表達(dá)上的簡(jiǎn)便特點(diǎn)�；诔Ｓ玫膱D像幾何校正多項(xiàng)式模型構(gòu)造復(fù)數(shù)域多項(xiàng)式模型,并設(shè)計(jì)一階和二階多項(xiàng)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(fù)數(shù)域平差方法的參數(shù)維數(shù)和法矩陣階數(shù)僅為實(shí)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(guó)礦業(yè)大學(xué)國(guó)土環(huán)境與災(zāi)害監(jiān)測(cè)國(guó)家測(cè)繪地理信息局重點(diǎn)實(shí)驗(yàn)室;
【基金】：國(guó)家自然科學(xué)基金(41204011,41504032) 大地測(cè)量與地球動(dòng)力學(xué)國(guó)家重點(diǎn)實(shí)驗(yàn)室開(kāi)放基金(SKLGED2014-3-2-E)~~
【分類號(hào)】：P207.2
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本文編號(hào)：1729289