平面三次NURBS光顺曲线的权因子优化算法  

A weight-based optimal faring algorithm for planar cubic NURBS curves

作　　者：章虎冬[1,2] 蒋大为[1] 丁永胜[1] 张则剑[1] 

机构地区：[1]西北工业大学应用数学系,西安710072 [2]西安邮电学院基础部

出　　处：《西南民族大学学报（自然科学版）》2005年第3期351-355,共5页Journal of Southwest Minzu University(Natural Science Edition)

摘　　要：给出了平面参数三次NURBS光顺曲线的一种权因子优化算法,目的是使曲线的曲率变化均匀的同时,使光顺后的曲线与原曲线的偏差尽量小,此算法简单易行,计算量较小.A weight-based optimal fairing algorithm for planar parametric cubic NURBS curves is presented. The purpose of this paper is to make the change of curvature of faired curves more gradual and its deviation from the initial curves smaller. It shows that it is simple and needs a small amount of calculation.

关 键 词：NURBS曲线 光顺 曲率 

分 类 号：O224[理学—运筹学与控制论]