多形状参数的二次非均匀双曲B-样条曲线  

Quadratic Non-Uniform Hyperbolic B-Spline Curves with Multiple Shape Parameters

作　　者：邬弘毅[1] 左华[1] 

机构地区：[1]合肥工业大学理学院,合肥230009

出　　处：《计算机辅助设计与图形学学报》2007年第7期876-883,共8页Journal of Computer-Aided Design & Computer Graphics

摘　　要：给出了一类带多个形状参数的二次非均匀双曲B-样条曲线,这类曲线具有二次多项式B-样条曲线的许多重要性质.根据形状参数的不同取值,能整体或局部地调控曲线的形状;无需重节点技术或解线性方程组,就能使曲线直接插值于某些控制点或控制边.此外,这类曲线能精确地表示双曲线.This paper presents a class of quadratic non-uniform hyperbolic B-spline curves with multiple shape parameters. Taking different values of the shape parameters, shape of the curves can be modified globally or locally. Without using multiple knots or solving system of equations, the curves can directly interpolate certain control points and control edges. Further, the hyperbola can be represented by the proposed curves accurately.

关 键 词：非均匀节点 形状参数 二次双曲B-样条曲线 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]