论最小二乘圆参数的算式

Comment on the Formulae for Calculating the Parameters of Least Square Circle

近来有人对最小二乘圆的参数,提出精确算式:a=1/n∑x_i,b=1/n∑y_i,R=1/n∑((x_i-a)~2+(y_i-b)~2)^(1/2)笔者按最小二乘原理推证:此式不能精确得到,并论证了此式的错误原因.

According to least square theory,the author draws a conclusion that the “correct formulae” presented by someone recently for calculating the parameters of least square circle cannot be obtained exactly,and shows the cause for their error.