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带形状参数的Ball曲线性质及应用
引用本文:张迎春.带形状参数的Ball曲线性质及应用[J].微计算机应用,2010,31(3).
作者姓名:张迎春
作者单位:上海电子信息职业技术学院计算机应用系,上海,201411
摘    要:构造了带形状参数的2m+1次Ball基及Ball曲线.它具有和Ball基及曲线同样的性质.通过3次带参数的Ball曲线生成圆形和花瓶的实例说明在不变动控制点的情况下,通过调整形状参数λ值可根据需要达到控制曲线形状的目的.

关 键 词:Ball基  Ball曲线  Bernstein基  形状参数  控制点

The Properties of Ball Curves with Parameters and Its Applications
ZHANG Yingchun.The Properties of Ball Curves with Parameters and Its Applications[J].Microcomputer Applications,2010,31(3).
Authors:ZHANG Yingchun
Affiliation:ZHANG Yingchun (School of Computer,Shanghai Technical Institute of Electronics , Information,Shanghai,201411,China)
Abstract:In this paper, 2m+1 order Ball bases and Ball curves with shape parameters are constructed using recursive equations. They have the same properties as Said-ball bases and curves. Finally, The circle and the vase are generated by 3 order Ball curves with different parameters, and the experiments show the Ball curve shapes can be controlled by adjusting the shape parameters and not need to move the control points.
Keywords:Ball base  Ball curve  Bernstein base  shape parameter  control point  
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