柴双武,杨晓琴,郭旭炜

• 1:太原理工大学矿业工程学院

摘要(Abstract)：

针对传统的欧拉角表述的绝对定向迭代解法存在的局限性问题,该文将对偶四元数应用到解析绝对定向中,提出一种利用对偶四元数描述的绝对定向迭代解法。该方法根据最小二乘原理求出尺度因子;顾及到模型点坐标含有误差,将模型点坐标作为观测值,对绝对定向方程进行线性化;在对偶四元数单位性和正交性的限制条件下,进行间接平差,求解出七个绝对定向元素。试验结果表明:该解法正确可靠,能够适用于大倾角和大尺度,且与传统欧拉角迭代法相比,具有无须计算初值、线性化程度高、迭代次数少、能够避免繁琐的三角函数运算、解更加稳定等优势,且该方法在一定程度上丰富了绝对定向的解法。

关键词(KeyWords)： 对偶四元数;绝对定向;迭代解法;附有限制条件间接平差模型;绝对定向元素

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金项目(51504159);; 太原理工大学校基金项目(2014TD008)

作者(Author): 柴双武,杨晓琴,郭旭炜

DOI: 10.16251/j.cnki.1009-2307.2020.05.013

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