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任意旋转角坐标转换的简便模型

Simple and Convenient Coordinate Transformation Model for Any Rotation Angle

中文摘要英文摘要

提出了一种适合于任意旋转角坐标转换的简便模型。该模型的原理是首先对两套坐标系下各点的坐标进行重心化,而后求得转换矩阵。在一个模拟算例和一个工程实例中应用本文的方法进行坐标转换并对结果进行分析和比较,说明了本文提出的简便方法的实施过程和有效性。将本文提出的方法用于地铁盾构的姿态控制,取得了令人满意的效果。

simple and convenient model of coordinate transformation can be used for any rotation angle is proposed in this paper. First the coordinates of each points in both coordinate systems is centralized to their barycenters. Then, the transformation matrix can be calculated using these centralized coordinates. In both a simulated example and an engineering one, the method proposed in this paper is used, and transformation results is analyzed and compared, for the purpose of illumination of application process and effectiveness of this method. Apply the method in attitude control of subway tunnel shield, satisfactory results can be obtained.

谷川

工程设计、工程测绘

坐标转换简易模型任意旋转角重心化转换矩阵转换精度估计

oordinate transformationsimple and convenient modelany rotation anglecentralize to barycentertransformation matrixtransformation precision analysis

谷川.任意旋转角坐标转换的简便模型[EB/OL].(2008-08-14)[2025-07-16].http://www.paper.edu.cn/releasepaper/content/200808-193.点此复制

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