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任意旋转角坐标转换的简便模型
A simple and convenient coordinate transformation model for any rotation angle
【摘要】 本文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。
【Abstract】 A simple and convenient model of coordinate transformation which can be used for any rotation angle is proposed in this paper.First,the coordinates of each point in both coordinate systems are centralized to their barycenters.Then,the transformation matrix can be calculated by these centralized coordinates.The proposed method is used in two cases,a simulated example and an engineering project.Meanwhile,the transformation results are analyzed and compared for the purpose to indicate the method application process and effectiveness. When it is used in attitude control of subway tunnel shield,satisfied results can be obtained.
【Key words】 coordinate transformation; simple and convenient model; any rotation angle; centralized to barycenter; transformation matrix; transformation precision analyses;
- 【文献出处】 工程勘察 ,Geotechnical Investigation & Surveying , 编辑部邮箱 ,2009年06期
- 【分类号】P226.3
- 【被引频次】15
- 【下载频次】589