观测圆上多个任意点及其圆心坐标拟合

Observation of multiple arbitrary points on the circle and its center coordinates fitting

基于最小二乘法的原理,推算圆上观测若干坐标点拟合圆心坐标的公式及其圆心坐标精度评定,并通过实地测量标准圆形构件验证圆心坐标拟合计算公式的正确性。同时,运用matlab编程语言实现圆心坐标拟合计算程序,在大型机械设备的制造与安装等方面具有一定的应用价值。

Based on the principle of least-squares method, it derives the formula of the coordinate of the circle center and evaluates its accuracy. Then the correctness of the coordinate of the circle center is verified by the real measurement of circle center. Meanwhile, using the matlab programming language, the coordinate of the circle center fitting calculation program is implemented, which can be used in manufacturing and installation of large mechanical equipment.