| 基于空间向量的空间圆拟合算法研究及其应用 |
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| 引用本文： | 邹进贵,陈健.基于空间向量的空间圆拟合算法研究及其应用[J].测绘信息与工程,2012,37(6):3-5. |
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| 作者姓名： | 邹进贵 陈健 |
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| 作者单位： | 武汉大学测绘学院,武汉市珞喻路129号,430079 |
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| 基金项目： | 国家自然科学基金资助项目(41074025) |
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| 摘 要： | 对基于空间向量的空间圆拟合算法进行研究,将空间圆看成过球心的空间平面和球壳相交而成的圆,根据球心在空间圆上任意两点连线的中垂面上的性质,利用空间向量组建中垂面方程,与拟合的平面方程联立求解圆心坐标和半径。采用C#语言编写程序进行了算法实现,利用索佳全站仪采集断面数据,使基于该算法的程序在管道准直分析的工程中得到实际应用。
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| 关 键 词： | 空间向量 空间圆 拟合 准直分析 |
Research and Application of the Arithmetic Based on Space Vectorin 3D Circle Fitting |
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| ZOU Jingui,CHEN Jian.Research and Application of the Arithmetic Based on Space Vectorin 3D Circle Fitting[J].Journal of Geomatics,2012,37(6):3-5. |
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| Authors: | ZOU Jingui CHEN Jian |
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| Institution: | (School of Geodesy and Geomatics,Wuhan University,129 Luoyu Road,Wuhan 430079,China) |
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| Abstract: | Research on the arithmetic based on space vector in 3D circle fitting is carried out.3D circle could be viewed as a circle intersected by 3D ball and plane.The center of the 3D ball must be on the vertical plane of two points on the surface of 3D ball.According to space vector,a vertical plane can be derived to solute center coordinates and radius with plane.The arithmetic is implemented in C# programming.Using the Sokkia Total Station to obtain the section data,we put the program based on this arithmetic into practical application for joining pipeline. |
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| Keywords: | space vector 3D circle fitting collimation analysis |
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