空间任意方向圆柱面拟合方法

Cylinder surface fitting in arbitrary direction of space

提出了一种新的简便可行的圆柱面拟合算法,利用两台无棱镜全站仪架设在圆柱面的不同方向,分别获取圆柱面上均匀分布的若干坐标点,再利用三维坐标转换原理将这些坐标点转换到统一坐标系统内。根据圆柱面的几何原理,通过对圆柱面的位置和方向等几何参数赋予任意值,利用最小二乘原理求出参数值来确定圆柱面,并评定圆柱面的圆度值。同时,将本方法的计算结果与其他方法进行对比分析,发现计算结果差异不大,精度大致相同,这也就验证了本方法的可行性和正确性。

This paper presents a new simple and feasible cylinder surface fitting algorithm. The coordinates of the points on the cylinder surface are measured by the reflectorless total station and transformed into the same coordinate system. The geometric cylinder parameters can be determined by least squares method with arbitrary initial values and the circularity of each point is assessed at the same time. Compared with other methods, the results are similar and the accuracy is equal, which verifies the feasibility and correctness of the method.