求最小二乘参考圆心与圆度值的采样法则

应用科学学报 ›› 1992, Vol. 10 ›› Issue (1): 31-37.

求最小二乘参考圆心与圆度值的采样法则

朱训生, 薛秉源, 贝季瑶

上海交通大学

收稿日期:1990-08-04 修回日期:1991-01-19 出版日期:1992-03-31 发布日期:1992-03-31
基金资助:
上海市自然科学基金项目

THE SAMPLING RULE FOR CALCULATING THE LEAST SQUARE REFERENCE CENTER AND ROUNDNESS ERROR

ZHU XUNSHBNG, XUE BINYUAN, BEI JIYAO

Shanghai JiaoTong University

Received:1990-08-04 Revised:1991-01-19 Online:1992-03-31 Published:1992-03-31

摘要/Abstract

摘要： 探讨了应取多少采样点才可不失真地反映连续曲线所具有的圆度值.经数学推演,得到了求最小二乘圆圆心坐标及其统计意义下圆度值各自与曲线的富立叶系数间的关系,从而得到了它们应遵循的采样法则,并给出检验题与实际圆度曲线的验证结果.

关键词: 参考圆心, 圆度值, 采样法则

Abstract: This paper discusses the number of sampling points necessary for representing the roundness error of a closed curve without distortion. Through mathematical deduction by the authors, the relationship between the center coordinates of a least square circle of a curve with statistical roundness error and its Fourier coefficients is obtained. Then the sampling rule which must be obeyed is acquired, and the verification results of the test problem and practical periphery are given.

Key words: roundness error, reference center, sampling rule

朱训生, 薛秉源, 贝季瑶. 求最小二乘参考圆心与圆度值的采样法则[J]. 应用科学学报, 1992, 10(1): 31-37.

ZHU XUNSHBNG, XUE BINYUAN, BEI JIYAO. THE SAMPLING RULE FOR CALCULATING THE LEAST SQUARE REFERENCE CENTER AND ROUNDNESS ERROR[J]. Journal of Applied Sciences, 1992, 10(1): 31-37.