参数三次样条曲线的局部优化光顺算法  

An optimal fairing algorithm for planar cubic spline curves

作　　者：章虎冬[1] 

机构地区：[1]西安邮电学院理学院,陕西西安710121

出　　处：《西安邮电学院学报》2011年第2期68-70,共3页Journal of Xi'an Institute of Posts and Telecommunications

摘　　要：针对几何造型中关于参数三次样条曲线的光顺问题,提出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局部优化光顺算法,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λ和θ的值,从而得到光顺后的型值点和光顺后的曲线。此算法不仅可使曲线的曲率变化均匀,同时也使光顺后的曲线与原曲线的偏差尽量小。算法简单易行,计算量较小。Considering the fairing problem of cubic parametric spline curves in geometric modeling,a local optimal fairing algorithm based on revising gene λ and revising angle θ for planar parametric cubic spline curves is presented.Solving a objective function with revising gene and revising angle can get the value of λ and θ,thus,the faired point can be determined,and the fairing settled curve can be settled.the purposed method makes the change of curvature of a faired curve more gradual and its deviation from the initial curve more smaller,the new algorithm works facilely and is laborsaving.

关 键 词：曲线拟合 离散曲率 参数三次样条曲线 优化光顺法 修改因子 修改角度 

分 类 号：O241.5[理学—计算数学]