怎样用八段圆弧画一个与给定椭圆偏差最小的曲线?  

How to Draw a Better Approximate Ellipse with Eight Piecewise Circular Arcs?

作　　者：曾振柄[1] 陈明雁[1] 

机构地区：[1]华东师范大学上海高可信计算重点实验室

出　　处：《数学的实践与认识》2013年第23期175-181,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61021004);上海市重点学科项目(B412)

摘　　要：通过分析传统的八心圆椭圆近似作图的误差,从曲线最佳逼近的角度出发,给出一种偏差接近最小、且容易用尺规作图完成的新画法.研究结果,可以应用到数控机床加工之中.In this paper, we analysis the traditional method of drawing approximate ellipse with eight piecewise circular arcs with almost least approximate error, and then from the perspective of optimal approximation of curve, we present an improved method for drawing ellipses with eight piecewise circular arcs with almost least approximate error. The research result can be applied into the field of computer numerical control machining.

关 键 词：椭圆画法 圆弧 曲线逼近 八心圆画法 

分 类 号：TH126[机械工程—机械设计及理论]