基于對偶四元數(shù)的三維空間坐標(biāo)轉(zhuǎn)換直接解法
發(fā)布時間:2018-04-22 08:27
本文選題:坐標(biāo)轉(zhuǎn)換 + 七參數(shù)。 參考:《大地測量與地球動力學(xué)》2017年12期
【摘要】:利用對偶四元數(shù)能同時描述旋轉(zhuǎn)矩陣和平移向量的優(yōu)勢,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題,可以直接解算坐標(biāo)轉(zhuǎn)換參數(shù),且無需迭代初始值。通過模擬數(shù)據(jù)進(jìn)行仿真實驗表明,該方法無需線性化,計算簡便,驗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)測繪與國土信息工程學(xué)院;河南省地質(zhì)礦產(chǎn)勘查開發(fā)局;
【基金】:國家重點研發(fā)計劃(2016YFC0803103) 河南省高?萍紕(chuàng)新團(tuán)隊支持計劃(14IRTSTHN026)~~
【分類號】:P226.3
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本文編號:1786371
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