一种参数三次样条曲线光顺优化算法

摘要

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 9 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.%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.