一类双参数拟均匀三次B样条曲线  

A Class of Quansi-cubic Uniform B-spline Curves with Two shape Parameters

作　　者：韦泉华[1] 

机构地区：[1]广西工学院信息与计算科学系,广西柳州545006

出　　处：《广西工学院学报》2011年第2期57-60,共4页Journal of Guangxi University of Technology

基　　金：广西工学院硕士基金项目(500561)资助

摘　　要：利用三次均匀B样条曲线的性质,扩展其调配函数,构造出四次多项式调配函数,生成一种带双参数的四次多项式曲线,它保留了三次均匀B样条曲线的重要特征,且具有形状可调性和对控制多边形更好的逼近性.它是均匀三次B样条曲线的扩展,称为拟三次均匀B样条曲线,可选取不同的形状参数,实现曲线形状更大范围的灵活调整,最后给出一些图形实例.A class of degree 4 polynomial blending functions is constructed by using the properties of the cubic uniform B-spline curves.And a degree 4 polynomial curves is defined based on it.It is an extention of the cubic B-spline curves which inherits its main properties.So it is called quansi-cubic B-spline curves with two shape parameters.We can adjust the shape of curves which can be more approximated to the control polygon by alerting two parameters.Finally,some examples are given by figures.

关 键 词：均匀B样条曲线 调配函数 形状参数 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]