基于B样条曲线节点插入算法的拟合优化  

Fitting Optimization for B-spline Curve and Kont Insertion Algorithm

作　　者：樊迪[1] 常智勇[1] 李春磊[1] 阳阳[1] 

机构地区：[1]西北工业大学

出　　处：《工具技术》2012年第8期80-82,共3页Tool Engineering

基　　金：西北工业大学基础研究基金(NPU-FFR-JC20110215)

摘　　要：在逆向工程中对叶片进行非接触式测量,为了更好得到叶片型线的数据,需要用曲线对有序的点云进行拟合。为了满足精度要求,提出了用节点插入算法来对拟合出B样条曲线进行优化。该方法首先通过最小二乘法拟合出曲线,然后根据误差和曲率信息以及节点插入算法不断插入节点,所得结果与上一次进行对比,直到达到拟合要求。实验表明,该方法考虑到局部曲率及误差,得到的拟合曲线逼近效果更好。In reverse engineering,non-contact measurement of the blade,in order to get better blade profile data,need to use the curve to fit the orderly points.For precision requirement,put forward knot insertion algorithm for fitting B-spline curve.The method begins by least squares fitting curve,then according to the error,curvature information and knot insertion algorithm to insert nodes,compared the results with the last until reach the best requiremtnts.Experimental results show that the algorithms take into account the local curvature and error,obtained by the fitting curve approximation effect is better.

关 键 词：B样条曲线 最小二乘拟合 节点插入算法 

分 类 号：TG391.72[金属学及工艺—金属压力加工]