大转角空间坐标转换模型的对比研究
HE COMPARATIVE STUDY OF THE SPATIAL COORDINATE TRANSFORMATION MODEL OF LARGE ANGLE
为了实现空间大转角的坐标转换,必须对适用于小角度转换的布尔莎模型进行改进即采用泰勒级数展开线性化的七参数模型,也可以采用罗德里格矩阵转换法来解决。前者作为一种迭代模型算法严密,但应用于大旋转角时需要线性化,同时抗差性较弱。后者作为非迭代模型算法简明,不受旋转角度的限制,易于编程实现,但参数需要逐步求解,存在误差传递。本文研究了两种坐标转换模型的原理,通过模拟实验和盾构自动引导系统的工程实例对比两种坐标转换模型在大旋转角情况下的坐标转换的精度和抗差性,指明了两种坐标转换方法的适用条件和各自特点。
In order to realize the spatial coordinate transformation of large angle,we must to improve the Bursa model which applies to the transformation of small angle to the seven parameters model which use Taylor series to linearize,or we can use the coordinate transformation model based on Lodrigues matrix.As an iterative model,the algorithm of the former is rigorous,but it must to be linearized when it applies to large angle,and the robustness is weak.As a non-iterative model,the latter is simplified,applies to arbitrary angle and benefits programming,but the parameters should be worked out step by step which causes the propagation of error.The paper studies the theory of two coordinate transformation model,uses experiment and engineering project of tunnel boring machine automatic guidance to compare the accuracy and robustness of two coordinate transformation model of large angle,indicates the application conditions and characteristics of them.
汪大超、潘国荣、周跃寅
工程设计、工程测绘测绘学
坐标转换罗德里格矩阵七参数模型大旋转角抗差性盾构自动引导系统
coordinate transformationLodrigues matrixlarge angleseven parameters modelrobustnesstunnel shield automatic guidance.
汪大超,潘国荣,周跃寅.大转角空间坐标转换模型的对比研究[EB/OL].(2013-04-17)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/201304-353.点此复制
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