含有权参数的二次代数双曲B样条曲线  

QUADRATIC ALGEBRAIC HYPERBOLIC BSPLINE CURVES WITH WEIGHT PARAMETERS

作　　者：谢进[1] 檀结庆[2] 李声锋[2] 

机构地区：[1]合肥学院数学与物理系,合肥230601 [2]合肥工业大学计算机与信息学院,合肥230009

出　　处：《高等学校计算数学学报》2011年第4期337-346,共10页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金资助项目(61070227);教育部博士点基金(20070359014);安徽省教育厅教研重点项目(20100935);合肥学院科研重点项目(11KY02ZD)

摘　　要：1引言二次非均匀B样条曲线,由于结构简单,因而非常方便用于曲线曲面造型.但当控制多边形和节点向量给定后,曲线的形状是固定的.如果要调整曲线的形状,可以调整相应的控制顶点或节点向量,这意味着再一次计算曲线方程,计算量也随之增大.此外。A method of generating quadratic spline curves based on the weighted algebraic and hyperbolic polynomial is presented in this paper,which shares many important properties of quadratic non-uniform B-splines. Here the weight coefficients are also shape parameters ,which are called as weight parameters. The intervai[0,1] of the weight parameter values can be extended to [-12.1986,12.6061].Taking different values of the weight parameters,one can not only totally or locally adjust the shape of the curves and can change the type of some segments of a curve among the algebraic or hyperbolic functions as well. Letting one or some weight parameters be -12.1986,the curve can interpolate certain control points or control polygon edge directly.

关 键 词：ALGEBRAIC HYPERBOLIC B-SPLINE curve weight parameter total or LOCAL ADJUST LOCAL interpolation HYPERBOLA C^1 joint 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]