摘要
考虑近似弧长参数化Bézier曲线的逼近问题。当获得Bézier曲线的一个近似弧长参数化[1]之后,这种参数化只能达到C0-连续性。为了增加其参数连续性,利用其带有端点约束的关于L2-模的最佳逼近以得到具有C2-连续性的Bézier样条曲线。实验证明,这种逼近的效果是十分理想的。
In this paper,we consider the problem of the approximation of nearly arc-length parameterized Bezier curves.When a nearly arc-length parameterization for a B6zier curve has been obtained,the parameterization could only acquire C^2-continuity.To increase the parametric continuity,we use its best approximation with constraints at the endpoints with respect to L2-norm to get a Bezier spline curve with C^2-continuity.Experiment proves that the effect of this approximation is quite satisfactory.
出处
《计算机工程与应用》
CSCD
北大核心
2007年第27期8-9,17,共3页
Computer Engineering and Applications
基金
国家自然科学基金(the National Natural Science Foundation of China under Grant No.60672135)
关键词
BÉZIER曲线
弧长参数化
逼近
Bezier curves
arc-length parameterization
approximation
