数控系统中封闭曲线三次均匀B样条插补不平滑处理研究  

A Study on the Handing with Non-smoothness Problem of B-spline in CNC System

作　　者：陈孝明[1] 韩志斌[1] 

机构地区：[1]华中科技大学数学与统计学院,湖北武汉430074

出　　处：《应用数学》2008年第S1期83-86,共4页Mathematica Applicata

基　　金：国家自然科学基金项目(10672062)

摘　　要：数控系统中经常会用到样条插值,对于不封闭曲线,一般的样条插值,就能解决,但对于封闭曲线,首尾控制点的处理不当,传统的增加控制点的方法经常会出现不平滑,甚至锐角,本文就应用埃尔米特插值解决这一问题,并在Visual C++上进行仿真实现.In CNC system,we usually use spline to adding smoothness for the interpolation.For non-closed spline,traditional B-spline may be enough.But for closed spline,free boundary conditions may cause non-smooth.This paper provide a new Hermite interpolation of B-Spline for CNC system and emulate on Visual C++ successfully.

关 键 词：数据系统 三次均匀B样条 封闭曲线 埃尔米特插值 

分 类 号：O241.3[理学—计算数学]