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介绍一种插补器算法——用最小残量法画基本曲线

INTRODUCTION TO AN ALGORITHM FOR INTERPOLATOR——DRAWING THE BASIC CURVE USING THE MINIMUM REMNAUT METHOD

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【作者】 朱望规

【Author】 Zhu Wanggui (Department of Engineering management)

【机构】 西安交通大学管理工程系

【摘要】 由于用于计算机绘图的正负法有如下缺点:只有四个走向,每步与真实曲线误差不超过一步,不保持对称性,且没有不同绕向的可逆性.作者设计了一种称为最小残量法的绘图方法,即每走一步后,就在八个走向中选残量为最小的走向为下一步走向(在实现中实际上只是在原走步方向,以及它的左、右邻走步方向,这三个方向中选残量为最小的方向).这个方法有八个走向,每步与真实曲线误差不超过半步,且有对称性与不同绕向的可逆性. 这个方法已在作者研制的统一绘图软件中予以实现,且在其它兄弟单位中得到应用.

【Abstract】 Because the positive-negative sign method, we applied to computer graphics has the following shortcomings: only four directions; the distance between every moved point and the real curve less one step, that is moved by the plotter every time; can’t keep symmetribility and reversibility for different rounded directions, the author has designed a new method, called the minimum remnat method for the application to computer graphics. The essence of this method is as follows: each time when the plotter moves one step, we choose the minimnm remnant direction of the eight directions to be the next one (in fact we choose the minimum remnant direction from the last direction, its right and its left one). This method has eight directions of motion; the distance between every moved point and the real curve is less than half step, and it can keep symmetry and reversibility for different rounded directions.This method has found successful application in the graphic software developed by the author and other places.

  • 【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02期
  • 【被引频次】3
  • 【下载频次】13
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