摘要
提出一种更简易、更清晰的空间圆形拟合检测方法。将空间圆形看成一个球体与过球心的空间平面相交形成的大圆,圆心必在球体上任意两点连线的中垂面上,运用空间向量推导中垂面方程,与拟合的空间平面联立求解圆心坐标,进而反算出半径。并结合某盾构横断面工程实例,证明了该方法的实用性。
A more simple and clear method is put forward to fitting 3D circle.3D circle could be viewed as great circle intersected by 3D ball and plane,and centre of the 3D circle must be on the vertical plane of two points on the surface of 3D ball;According to space vector,vertical plane could be derived to solute centre with plane,and then radius could be counted inversely.Meanwhile by taking a real tunnel shield section project as the example,this method is proved to be practical.
出处
《大地测量与地球动力学》
CSCD
北大核心
2010年第4期106-108,共3页
Journal of Geodesy and Geodynamics
关键词
最小二乘
中垂面
空间向量
空间圆形
拟合
least squares
vertical plane
space vector
3D circle
fitting
作者简介
潘国荣：男，1960年生，教授、博士生导师，主要研究方向为精密工程测量、工业测量与测量数据处理.E—mail：pgr2@163.com
