多形状参数的双曲多项式均匀B样条  

Hyperbolic polynomial uniform B-spline with multiple shape parameters

作　　者：钱天胜[1] 黄有度[1] 尹池江[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8期1276-1280,共5页Journal of Hefei University of Technology：Natural Science

摘　　要：文章利用分段积分的思想并引入多个形状参数,给出了双曲多项式均匀B样条曲线的扩展,该类曲线具有标准的和单形状参数的双曲多项式均匀B样条曲线的主要性质;改变形状参数的值能整体或局部调控其形状,有利于双曲多项式均匀B样条曲线的设计;并给出了多形状参数的均匀B样条曲线,体现了曲线的整体与局部调控。In this paper,the extension of hyperbolic polynomial uniform B-spline is provided by using the subsection integral and introducing multiple shape parameters.This kind of curve combines the main properties of both the standard hyperbolic polynomial uniform B-spline curve and the hyperbolic polynomial uniform B-spline curve with single shape parameter.The shape of the curves can be adjusted entirely or locally by changing the values of the shape parameters,which is convenient for the design of the hyperbolic polynomial uniform B-spline curve.The instances of the uniform B-spline curve with multiple shape parameters are given to demonstrate the overall and local adjustment of the curve.

关 键 词：多形状参数 双曲均匀B样条 调配函数 基函数 整体或局部调控 

分 类 号：TP391.75[自动化与计算机技术—计算机应用技术]