B样条曲线升阶的新研究(英文)  

New Research on Degree Elevation of B-spline Curves

作　　者：于丕强[1] 施锡泉[2] 

机构地区：[1]清华大学软件学院,北京10084 [2]大连理工大学应用数学系,辽宁大连116024

出　　处：《应用数学》2003年第1期29-33,共5页Mathematica Applicata

基　　金：ProjectwaspartlysuppotedbytheNKBRSF(G19980 30 60 0 );theNationalNaturalScienceFoundationofChina(No .19990 14115 ) ;theOutstandingYoungTeacherFoundationoftheMinistryofEducationofChina;theDoctoralProgramFoundationofatheMinistryofEducationofChina

摘　　要：B样条曲线的升阶是CAGD中的一个重要课题 .本文根据传统的样条函数理论 ,提出了一个用高次B样条函数表示低次B样条函数的方法 .该方法用于B样条曲线的升阶是快捷、有效的 .Degree elevation of B-spline cruves is an important issue in CAGD.In this paper,a method for representing B-spline basis functions of degree p by those of degree p+1 is provided.This method is simple and effective when being used to raise the degree of B-spline curves.

关 键 词：B样条 曲线 升阶 

分 类 号：O241.5[理学—计算数学]