摘要
本文给出了有理四次Bézier曲线精确地表示圆弧的充分必要条件,并证明了其能表示任意圆弧但不可能表示整个圆周.
In this paper, the necessary and sufficient condition and the sufficient condition for rational cubic Bezier curves representation of circular arcs are given. The similar results for rational cubic B-spline curves and Ball curves are presented.These algorithms are useful in shape design, numerical control and particularly in geometric modeling.
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
1998年第2期233-238,共6页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金