摘要
文章在双曲Bézier曲线的基础上加入混合奇异函数,该函数包含2个对曲线有调控能力的形状参数;并给出奇异混合双曲Bézier曲线的基函数及其性质。通过图形演示形状参数对曲线基的调控能力和修改能力,对曲线设计有着重要的意义,该类曲线作为一种新的几何造型工具,广泛应用于CAD/CAM领域。
The singular blending function, which has two shape parameters with the control ability on the curve, is introduced into the hyperbolic Bezier（H-Bezier） curve. The basis function of singular blending H-B6zier curve as well as its properties are pointed out. The controlling ability and modifica- tion ability of shape parameter on curve base are illustrated through graphics, which has important significance to computer aided geometric design（CAGD）. As a new geometric design method, it can be widely used in CAD/CAM.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第2期253-256,共4页
Journal of Hefei University of Technology：Natural Science
关键词
双曲Bezier曲线
奇异混合函数
超越曲线
计算机辅助几何设计
光滑拼接
hyperbolic Bfzier（H-Bfzier） curve
singular blending function
transcendental curve
com-puter aided geometric design（CAGD）
smooth joining
