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• 计算机辅助几何设计 • 上一篇    下一篇

一种参数三次样条曲线光顺优化算法

  

  • 出版日期:2011-06-30 发布日期:2015-08-12

An Optimal Fairing Algorithm for Parametric Cubic Spline Curves

  • Online:2011-06-30 Published:2015-08-12

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 和修改角度 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。

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

Abstract: 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  and revising angle  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.

Key words: computer application, optimal fairing algorithm, revising gene, revising angle;
parametric cubic spline curves