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基于對(duì)偶四元數(shù)的三維空間坐標(biāo)轉(zhuǎn)換直接解法

發(fā)布時(shí)間:2018-04-22 08:27

  本文選題:坐標(biāo)轉(zhuǎn)換 + 七參數(shù); 參考:《大地測(cè)量與地球動(dòng)力學(xué)》2017年12期


【摘要】:利用對(duì)偶四元數(shù)能同時(shí)描述旋轉(zhuǎn)矩陣和平移向量的優(yōu)勢(shì),提出一種適用于大角度的三維空間坐標(biāo)轉(zhuǎn)換參數(shù)求解模型。該模型解決了傳統(tǒng)算法不適用于大旋角的問(wèn)題,可以直接解算坐標(biāo)轉(zhuǎn)換參數(shù),且無(wú)需迭代初始值。通過(guò)模擬數(shù)據(jù)進(jìn)行仿真實(shí)驗(yàn)表明,該方法無(wú)需線性化,計(jì)算簡(jiǎn)便,驗(yàn)證了該方法的正確性與有效性。
[Abstract]:With the advantage of dual four elements that can describe the rotation matrix and the translation vector at the same time, a three-dimensional space coordinate conversion parameter solution model for large angle is proposed. The model solves the problem that the traditional algorithm is not applicable to the big rotation angle, and can directly solve the parameter of the coordinate conversion, without the initial value of the iteration. Real experiments show that this method does not need linearization and is easy to calculate, and verifies the correctness and effectiveness of the method.

【作者單位】: 河南理工大學(xué)測(cè)繪與國(guó)土信息工程學(xué)院;河南省地質(zhì)礦產(chǎn)勘查開發(fā)局;
【基金】:國(guó)家重點(diǎn)研發(fā)計(jì)劃(2016YFC0803103) 河南省高?萍紕(chuàng)新團(tuán)隊(duì)支持計(jì)劃(14IRTSTHN026)~~
【分類號(hào)】:P226.3
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本文編號(hào):1786371

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