广义Said-Ball曲线  

GENERALIZED SAID-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》2012年第1期32-40,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λ的Said-Ball曲线,它具有n次Said-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=2时,曲线退化为Said-Ball曲线.给出了曲线的递归求值算法及两段曲线G^1,C^1连续拼接的条件.The n-degree Said-Ball curves with shape parameter A are presented.They have the similar properties with the n-degree Said-Ball curves.The shape parameter A has a clear geometric meaning. The constructed curves can approxim ate the control polygon well with the elevation of the A value. When A is equal to 2,the curve degenerates to the Said-Ball curve.The algorithms for recursive evaluation,G1 and C1 link conditions are given.

关 键 词：λ-SaidBall曲线 形状参数 拼接条件 递归求值 

分 类 号：O186.11[理学—数学]