局部插值的H-Bézier曲线分段光顺拟合  

Piecewise fairing and fitting of H-Bézier curves by partial interpolations

作　　者：张龙飞 檀结庆[1] 

机构地区：[1]合肥工业大学数学学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2011年第10期1570-1575,共6页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(61070227;60773043);高等学校博士学科点专项科研基金资助项目(20070359014)

摘　　要：文章提出了一种基于局部插值的光顺拟合方法,通过对给定的离散数据点进行逐段拟合,可以完整地表现出已知数据点的分布情形;还给出一种改进的光顺准则,针对不同情况确定光顺约束方程之后,通过调整控制顶点及可能存在的曲线控制参数,使曲线的光顺能达到极小,从而得到较为理想的光顺拟合曲线。数值实例说明了该文算法的有效性。This paper presents a new method of fairing and fitting based on partial interpolations, which can completely describe the distribution of the given data by piecewise fitting. An improved fairing method is also put forward. Once the fairing constraint equations are determined case by case, the fairing energy can reach the minimum level through adjusting the control points and choosing the suitable control parameters to get an ideal approximation of the given points. Numerical examples are given to show the effectiveness of the presented methods.

关 键 词：H-Bézier曲线 分段拟合 光顺 能量法 曲率 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]