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B样条曲线升阶的新研究(英文)
New Research on Degree Elevation of B-spline Curves
【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 .
【Abstract】 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.
【基金】 ProjectwaspartlysuppotedbytheNKBRSF(G19980 30 60 0 );theNationalNaturalScienceFoundationofChina(No .19990 14115 ) ;theOutstandingYoungTeacherFoundationoftheMinistryofEducationofChina;theDoctoralProgramFoundationofatheMinistryofEducationofChina
- 【文献出处】 应用数学 ,Mathematica Applicata , 编辑部邮箱 ,2003年01期
- 【分类号】O241.5
- 【被引频次】5
- 【下载频次】58