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.
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.
出处
《应用科学学报》
CAS
CSCD
1992年第1期31-37,共7页
Journal of Applied Sciences
基金
上海市自然科学基金项目
关键词
圆度值
参考圆心
采样法则
圆度仪
roundness error, reference center, sampling rule.
