摘要
Hausdorff距离常被用于衡量两条曲线间的逼近效果。该文以Bézier曲线为例,提出了基于分段二次函数重新参数化的新算法,用于求解平面或空间曲线的降阶逼近问题。理论上该文算法同样适用于B样条曲线等的逼近问题。数值例子表明了新算法可以具有Hausdorff距离下更好的逼近效果。
Hausdorff distance is frequently used to measure the error distance between two curves.This paper presents a reparameterization-based method for the degree reduction problem of Bézier curves.In principle,the new method can also be used for B-spline curve cases.Numerical examples show that the new method is able to have a better approximation effect under Hausdorff distance than those of previous methods.
基金
国家自然基金资助项目(60803076)
浙江省自然科学基金资助项目(Y1090004)
