边少锋,李忠美,纪兵,金立新

• 1:海军工程大学导航工程系
• 2:甘肃铁道综合工程勘察院有限公司
• 3:中铁第一勘察设计院集团有限公司

摘要(Abstract)：

针对求解7参数的过程中,经典的线性化最小二乘法因需线性化、迭代及初值以及存在算法耗时出现不收敛现象的问题,该文对无须迭代的7参数坐标变换公式进行了研究。为避免各类参数间的相关性,采用消去法并按照依次求解旋转参数、比例系数和平移参数的顺序解得坐标变换参数。先利用最小二乘法求解旋转参数,然后通过构建目标函数的方式求解比例系数与平移参数,最终得到无须线性化、无须迭代、无须初值的,可用于大旋转角的7参数坐标变换公式。与线性化最小二乘方法进行相比,该方法具有相当的精度及更高的运算效率,可在一定程度上丰富坐标变换理论。

关键词(KeyWords)： 坐标变换;7参数;非线性化;非迭代;大旋转角;斜对称矩阵;目标函数

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金项目(41604010,41471387,41574009)

作者(Author): 边少锋,李忠美,纪兵,金立新

DOI: 10.16251/j.cnki.1009-2307.2017.09.009

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