计算机工程与科学2017，Vol.39Issue(8)：1489-1494,6.DOI:10.3969/j.issn.1007-130X.2017.08.016
基于四次B样条的曲线逼近算法
An approximate algorithm based on quartic B-spline curves
摘要
Abstract
To overcome the shortcomings of the traditional interpolation spline that is difficult to add or delete points and the inaccuracy of the traditional approximate spline,we propose an approximate algorithm based on the cubic B-spline.The algorithm,which is based on the approximation and the iteration,improves the calculation speed and precision.Based on the periodic cubic B-spline curves,the algorithm extends to quartic B-spline,which is third derivative.Besides,the theoretical proof of the convergence of the algorithm is given out.Finally,the numerical approximation experiments on common functions show that the algorithm has a faster convergence speed and can meet higher practical industrial needs.关键词
逼近算法/四次B样条/收敛性/曲线/迭代Key words
approximate algorithm/quartic B-spline/convergence/curve/iteration分类
数理科学引用本文复制引用
陈涵宇,蒋勇..基于四次B样条的曲线逼近算法[J].计算机工程与科学,2017,39(8):1489-1494,6.基金项目
国家自然科学基金(41174165) （41174165）
国家公益性行业专项(GYHY201306073) （GYHY201306073）
