摘要
以曲线的等距线距离为度量,得到近似椭圆与精确椭圆的偏差估计,并给出了偏差与半轴长的显示表达式。通过符号计算和回归分析,提出一种偏差最小的四心圆近似椭圆作图法。新方法易于通过尺规作图实现,可用于编制数控机床中加工椭圆零件的插补程序。
The distance of equidistant curves is used to estimate the errors between an ellipse and the four-arcs which approximate the ellipse. An explicit expression of the errors and the semi-axes of the ellipse are established. A new method is proposed for approximating an ellipse by using of four-arcs with minimal error via symbolic computation and regression analysis. Our method is easy for drawing with ruler and compass and can be used in interpolation programming for the computerized Numerical Control lathes.
出处
《图学学报》
CSCD
北大核心
2013年第1期9-16,共8页
Journal of Graphics
基金
国家自然科学基金资助项目(61021004)
上海市重点学科资助项目(B412)
上海自然科学基金资助项目(11ZR1411500)
