B样条曲线节点插入的简易算法  

Simple Algorithm for B-spline Curve Node Insertion

作　　者：吴婷 WU Ting(College of Further Education,Anhui Polytechnic University,Wuhu 241000,China)

机构地区：[1]安徽工程大学继续教育学院,安徽芜湖241000

出　　处：《新乡学院学报》2020年第3期41-43,共3页Journal of Xinxiang University

基　　金：安徽高校优秀青年人才支持计划重点项目(gxyqZD2016465)。

摘　　要：在计算机辅助设计与制造中,B样条(B-spline)常用来表达几何形状。节点插入在曲线细分、增加控制点数量等方面都有重要的应用。为此,在分析B样条曲线微分几何性质的基础上,提出一种基于曲线原始信息的简易节点插入方法,利用相邻节点间近似线性关系生成了新的控制点,并以一条典型的曲线为例验证了该算法的可行性。In computer aided design and manufacturing,B-spline is often used to express geometric shapes.Node insertion has important applications in curve subdivision and increasing the number of control points.Therefore,on the basis of analyzing the differential geometric properties of B-spline curve,a simple node insertion method based on the original information of the curve is proposed.A new control point is generated by using the approximate linear relationship between adjacent nodes,and a typical curve is used as an example to verify the feasibility of the algorithm.

关 键 词：B样条 节点插入 控制顶点 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]