摘要
给出了偏心圆的严格等式,xc利用这一等式得到了与传统公式类似的最小二乘圆圆心坐标表达式及较传统公式更精确的最小二乘圆半径的表达式.并给出了最小二乘统计意义下的圆度值公式,论证了它与曲线的直流分量及一次谐波无关.
A strict equation of eccentric circle is offered in this thesis. Using this equation we get the expression of the coordinates of the least square circle center which is similar to the conventional formula, and the expression of the least square circle radius which is more precise than the conventional formula. Furthermore a formula of the value of roundness is offered in the sense of least square statistics and it is verified that it has nothing to do with the D. 0 component and the primary harmonic wave of the curve.
出处
《应用科学学报》
CAS
CSCD
1992年第3期259-264,共6页
Journal of Applied Sciences
基金
国家自然科学基金
上海市自然科学基金课题
关键词
偏心圆
最小二乘圆
eccentric circle, fitting circle, radius formula, roundness.
