文章摘要
张林华,赵庆志,张兴武,郭丽红,孙启本.对等间距法逼近三次样条曲线的再研究[J].机床与液压,2016,44(23):136-139
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
  
DOI:10.3969/jissn1001-3881201623032
中文关键词: 列表曲线  三次样条曲线  等间距  直线逼近
英文关键词: Listing points curves  Cubic spline curve  Determining step size  Straight line approaching
基金项目:山东省淄博市科技攻关项目(2012GG01127)
作者单位E-mail
张林华 山东理工大学机械工程学院 zhanglinhua360@163.com 
赵庆志 山东理工大学机械工程学院  
张兴武 山东理工大学机械工程学院  
郭丽红 山东理工大学机械工程学院  
孙启本 山东理工大学机械工程学院  
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中文摘要:
      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。
英文摘要:
      When machining listing points curves using CNC technology,firstly it is required to acquire cubic spline function equation 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.
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