广义Wang-Ball曲线  

GENERALIZED WANG-BALL CURVES

作　　者：熊建[1] 郭清伟[2] 

机构地区：[1]安徽审计职业学院基础部,合肥230601 [2]合肥工业大学数学系,合肥230009

出　　处：《数值计算与计算机应用》2013年第3期187-195,共9页Journal on Numerical Methods and Computer Applications

基　　金：安徽省教育厅重点项目(2011AJZR0071);安徽省自然科学基金项目(11040606M06)

摘　　要：给出了n次带形状参数入的Wang-Ball曲线,它具有n次Wang-Ball曲线的类似性质.形状参数λ具有明显的几何意义:λ越大,曲线越逼近控制多边形.当λ=0时,曲线退化为一条线段;当λ=2时,曲线退化为Wang-Ball曲线.给出了曲线的递归求值,升阶和降阶逼近算法,用Bezier形式表达的系数公式及两段曲线G^1,C^1连续拼接的条件.The n-degree Wang-Ball curves with shape parameter λ are presented. They have the similar properties with the n-degree Wang-Ball curves. The shape parameter A has a clear Geometric meaning. The constructed curves can approximate the control polygon well with the elevation of the A value. When A is equal to 0, the curve degenerates to a line segment. When ）, is equal to 2, the curve degenerates to the Wang-Ball curve. The algorithms for recursive evaluation, degree-elevation, degree-reduction, explicit conversion formulas to the B6zier reoresentation, G1 and C1 link conditions are given.

关 键 词：λ-WangBall曲线 形状参数 Bézier表达式 递归求值 升阶和降阶算法 

分 类 号：O186.11[理学—数学]