节点文献
介绍一种控制机绘图算法——用直线逼近基本曲线
AN INTRODUCTION TO AN ALGORITHM FOR CONTROL COMPUTER—APPROACHING THE BASIC CURVE WITH STRAIGHT LINES
【摘要】 本文介绍作者在研制统一绘图软件中采用了一种用直线逼近基本曲线的方法.先定义直线与基本曲线的偏差△(d),由△(d)=1,推出关于d的非线性方程f(d)=0.再用牛顿迭代或弦截迭代解方程f(d)=0,这个方法可获得最少的直线段数来逼近基本曲线.它已在作者研制的统一绘图软件(统一处理绘图仪、光笔图形显示器、数控)中予以实现.
【Abstract】 This article introduces a method for approaching the basic curve with straight lines, as used by the author in the development of the graphic software. At first, we define the d(?)viation (d) between the straight line and the-basic curve and get from (?)(d)=1a nonlinear epuation f(d)=0 of d. Then we solve this equation by the Newton’s method or the chord cut-off method.using this method, we are able to make this number of straight lines to approximate the basic curve a minimum. This method has found auccessful application in the graphic software developed by the author.
- 【文献出处】 西安交通大学学报 ,Journal of Xi’an Jiaotong University , 编辑部邮箱 ,1983年01期
- 【下载频次】34