对等间距法逼近三次样条曲线的再研究  

Thorough Research of Determining Step Size for Approaching of Cubic Spline Curve

作　　者：张林华[1] 赵庆志[1] 张兴武[1] 郭丽红 孙启本 

机构地区：[1]山东理工大学机械工程学院,山东淄博255049 [2]山东兴玉机械科技有限公司国贸部,山东淄博255000 [3]山东诸城造纸机械有限公司技术部,山东诸城262200

出　　处：《机床与液压》2016年第23期136-139,共4页Machine Tool & Hydraulics

基　　金：山东省淄博市科技攻关项目(2012GG01127)

摘　　要：数控加工列表曲线时,通常先求出列表曲线样本点的三次样条插值方程,然后再利用直线或圆弧进行逼近。针对传统的三次样条曲线的直线逼近方法进行了再研究,提出了一种改进的等间距法,实现了三次样条曲线的直线逼近。该方法具有计算简捷,产生的数控代码较少,逼近误差可控等优点。在VC++环境下开发了基于此方法的列表曲线加工的数控系统,通过实例验证了该方法的有效性。When machining l isting points curves using CNC technology, firstly it is required to acquire cubic spline functionequation of the listing points, and then approach the cubic spline curve with short line or short arc. An improved approaching method using the determining step size was presented through researching the methods of approaching of cubic spline curve. It can approach the cubic spline curve by straight lines. This method is simple and can generates less NC codes. Accuracy of this approaching method can be controlled. Numerical control system was developed based on this method in the VC＋＋ environment . The effectiveness of this method was verified by an example.

关 键 词：列表曲线 三次样条曲线 等间距 直线逼近 

分 类 号：TG659[金属学及工艺—金属切削加工及机床]