一种参数三次样条曲线光顺优化算法  

An Optimal Fairing Algorithm for Parametric Cubic Spline Curves

作　　者：章虎冬[1] 

机构地区：[1]西安邮电学院应用数理系,陕西西安710121

出　　处：《工程图学学报》2011年第3期41-44,共4页Journal of Engineering Graphics

基　　金：陕西省教育厅基金资助项目(08JK43509JK728)

摘　　要：论文给出了一种基于修改因子和修改角度的平面参数三次样条曲线的优化光顺算法,该算法通过求解一个带有修改因子λ和修改角度θ的目标函数得到光顺后的型值点,插值光顺后的型值点得到光顺曲线。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。An optimal fairing algorithm for planar parametric cubic spline curves is proposed based on revising gene and revising angle.Faired point can be obtained by resolving a objective function of containing modifying gene λ and revising angle θ and faired curves is obtained by interpolating the faired point.The purpose of this algorithm is to make the change of curvature of faired curves more gradual and its deviation from the initial curves smaller.It is shown that the algorithm is simply facile and needs a smaller calculation.

关 键 词：计算机应用 自动光顺算法 修改因子 修改角度 参数三次样条曲线 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]