摘要
提出一种带参变量ε的四阶交错B—样条曲线,它们交错地由三次或五次分段多项式组成,凸包随ε趋于零而单调嵌套趋于控制多边形。在C^2中本文所得的四阶分段多项式的次数为最低,并讨论了平面情况下这种曲线段的奇拐点分布。
A class of 4-order alternate B-spline curves with an addition-al parameter ε is presented in this paper. They consist of piccewise cubic or quin-tic polynomials alternately. Their convex hulls are monotonic decreasing andapproach the control polygon as ε tends to zero. The degrees of 4-order piece-ise polynomials obtained in this paper are the lowest in c^2 (-∝,∝ ) . The auw-thor also presented the distribution of intlexion and singular points of planarcurves.
基金
安徽工学院科研基金
关键词
四阶交错B
样条曲线
平面曲线
4-order alternate B-spline curves
singular and inflexion of planar curves
