三角混合多项式形式的Ball曲线  

HYBRID TRIGONOMETRIC POLYNOMIAL BALL CURVE

作　　者：陈素根[1] 汪志华[1] 

机构地区：[1]安庆师范学院数学与计算科学学院,安徽安庆246133

出　　处：《巢湖学院学报》2012年第3期14-18,58,共6页Journal of Chaohu University

基　　金：安徽省教育厅自然科学研究项目(项目编号:KJ2012B089);安庆师范学院青年科研基金项目(项目编号:KJ201018)

摘　　要：Ball曲线在多项式空间中得到了广泛的研究,而且在CAD系统中也有着广泛的应用。在C-Bézier基的基础上构造的一组新的基称为C-Ball基,用这组基定义的曲线称为C-Ball曲线。讨论了三角混合多项式空间中的C-Ball基和C-Ball曲线,该曲线继承了Bézier曲线的良好的几何性质,在曲线的升降阶上比Bézier曲线更加方便,且可以通过形状参数对曲线进行形状控制。Ball curves were investigated extensively in polynomial spaces and applied in CAD systems. The basis is called C- Ball basis which is constructed based on C-Bézier basis, and then C-Ball curve is defined with this new basis. C-Ball curves inherit well geometric properties of Bézier curves, and they could be degree-elevated and degree-reduced rapidly. Moreover, shape of curves could be adjusted by changing the shape parameter.

关 键 词：C-Bézier基 C-BÉZIER曲线 C-Ball基 C-Ball曲线 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]