【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。更多还原

【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.更多还原