一种B样条曲线的交互光顺算法

An Interactive Fairing Algorithm for B-spline Curve

给出B样条曲线的一种交互光顺算法,其基本思想是通过扰动控制顶点的位置来达到曲线光顺的目的。采用曲线的能量最小原理,可以求出每个控制顶点的扰动量,给每个控制顶点赋予一个权重,以调节扰动量的大小。利用这种方法,可对B样条曲线进行全局光顺,也可以对其进行局部修改,并达到交互光顺的目的。

This paper presents an interactive algorithm about the fairness of a B- spline curve. The basic idea is to give each control point a small perturbation to construct a fair curve, The perturbations of each control point can be obtained minimizing the energy function. The weights of control points are applied to adjust the perturbation, The B - spline curve may be globally faired, but also can be adjusted locally in order to fair interactively.