The best approximation of nearly arc-length parameterized Bézier curves

Computer Engineering and Applications ›› 2007, Vol. 43 ›› Issue (27): 8-9.

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The best approximation of nearly arc-length parameterized Bézier curves

BAI Hong-wu,YE Zheng-lin,WANG Shu-xun,SHI Mao

Faculty of Science,Northwestern Polytechnical University,Xi’an 710072,China

Received:1900-01-01 Revised:1900-01-01 Online:2007-09-21 Published:2007-09-21
Contact: BAI Hong-wu

近似弧长参数化Bézier曲线的最佳逼近

白鸿武,叶正麟,王树勋,石茂

西北工业大学理学院,西安 710072

通讯作者: 白鸿武

Abstract

Abstract: In this paper,we consider the problem of the approximation of nearly arc-length parameterized Bézier curves.When a nearly arc-length parameterization[1] for a Bézier curve has been obtained,the parameterization could only acquire C0-continuity.To increase the parametric continuity,we use its best approximation with constraints at the endpoints with respect to L2-norm to get a Bézier spline curve with C2-continuity.Experiment proves that the effect of this approximation is quite satisfactory.

Key words: Bézier curves, arc-length parameterization, approximation

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。

关键词: Bézier曲线, 弧长参数化, 逼近

BAI Hong-wu,YE Zheng-lin,WANG Shu-xun,SHI Mao. The best approximation of nearly arc-length parameterized Bézier curves[J]. Computer Engineering and Applications, 2007, 43(27): 8-9.

白鸿武,叶正麟,王树勋,石茂. 近似弧长参数化Bézier曲线的最佳逼近[J]. 计算机工程与应用, 2007, 43(27): 8-9.

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The best approximation of nearly arc-length parameterized Bézier curves

近似弧长参数化Bézier曲线的最佳逼近

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