【作者】 郭清伟；

【Author】 Qingwei Guo (Institute of Mathematics,Fudan University,Shanghai,00433) (Department of Mathematics,Hefei University of Technology Hefei,Anhui,230009)

【机构】 复旦大学数学所； 合肥工业大学理学院；

【摘要】 给出一组带参数的二次多项式均匀B-样条基函数,以其为调配函数构造的二次多项式均匀B-样条曲线(称为二次多项式均匀GB-样条曲线),具有一个整体形状控制参数。又进一步,根据所给二次多项式均匀B-样条基函数,构造一组二次有理多项式均匀B-样条基函数,以其为调配函数构造的二次有理多项式均匀B-样条曲线(称为二次有理多项式均匀GB-样条曲线),具有局部形状控制参数,能很好地逼近圆且曲线形状更易控制。更多还原

【Abstract】 In this paper quadratic polynomial uniform B-spline bases are given which have a control shape parameter.The Quadratic polynomial uniform B-spline curves constructed by using this group of bases have a global control shape parameter and are named Quadratic polynomial uniform GB-spline curves. Furthermore quadratic rational polynomial uniform B-spline bases are obtained from quadratic polynomial uniform B-spline ones given.The Quadratic rational polynomial uniform B-spline curves presented by using this group of rational bases have a local control shape parameter and are named Quadratic rational polynomial uniform GB-spline curves,meanwhile this kind of rational curves can approximate circles effectively and its shape control is very easy.更多还原