一种基于向量的空间圆检测方法  

A METHOD FOR TESTING 3D-CIRCLE BASED ON VECTOR

作　　者：赵鹏飞[1] 

机构地区：[1]上海市测绘院,上海200063

出　　处：《大地测量与地球动力学》2014年第3期72-74,80,共4页Journal of Geodesy and Geodynamics

摘　　要：提出一种新的空间圆检测方法。首先以观测点拟合平面,然后采用空间向量构成中垂面的方法拟合球壳,并加入圆心在拟合平面内的限制条件,直接解算空间圆的圆心坐标及半径;同时在拟合过程中加入粗差剔除。该方法的数学模型可靠、拟合精度高,相比其他拟合方法,其实现更加简便。A new method for 3D-circle testing was presented. In the method,all observed points are fitted to a plane,and the sphere can be fitted by mid vertical planes,which are composed of the space vector, the 3D-circle center locates in the fitted plane. The coordinates of the center and the radius can be calculated by the method directly. The gross error will he eliminated during the fitting process. Compared with other methods, the method is very easy to realize, and reliability and fitting precision are higher.

关 键 词：空间圆检测 平面拟合 中垂面 球壳拟合 粗差剔除 

分 类 号：P258[天文地球—测绘科学与技术]