两种大转角空间坐标转换模型研究  

Two Spatial Coordinate Transformation Model of Large Angle

作　　者：潘国荣[1] 汪大超 周跃寅[1] 

机构地区：[1]同济大学测绘与地理信息学院,上海200092

出　　处：《山东科技大学学报（自然科学版）》2015年第1期61-67,共7页Journal of Shandong University of Science and Technology(Natural Science)

基　　金：高等学校博士学科点专项基金(博导类)项目(20120072110049);测绘地理信息公益性行业科研专项经费(HY14122136)

摘　　要：空间大转角的坐标转换,可以采用由适用于小角度转换的布尔莎模型改进的七参数模型,也可以采用罗德里格矩阵转换法来实现。本研究针对两种方法的原理和适用条件,通过模拟实验和在地铁盾构工程实例中对两种坐标转换模型的解算过程和结果进行分析和比较,得出以下结论:在大旋转角情况下,罗德里格矩阵转换模型作为非迭代模型算法简明,不受旋转角度的限制,易于快速实现,适用于常规精度要求的工程应用;改进的七参数迭代模型,算法严密,精度更高,实现大旋转角坐标转换的过程复杂,适用于高精度要求的研究应用。Two approaches were proposed to realize the spatial coordinate transformation of large angle.namely,im- proved seven parameters model based on the Bursa model adaptable with the transformation of small angle,and the coordinate trans[ormatlon model based on Lodrigues matrix. A study was made on the theory and application of the two coordinate transformation models, using experiments and an engineering project of tunnel boring machine auto- matic guidance to compare the calculation process and results of the two coordinate transformation models. In the case of large rotation angle, Lodrigues matrix as a non-iterative model is quite simplified and applies to conventional precision engineering especially in its arbitrary angle and fast programming. While the seven parameters model as an iterative model is much more rigorous in algorithm and its higher precision and more complicated calculation process make it suitable for cases with high-precision requirement.

关 键 词：罗德里格矩阵 坐标转换 七参数模型 大旋转角 盾构自动引导系统 

分 类 号：P226[天文地球—大地测量学与测量工程]