摘要
对于非均匀节点向量给出了一类带多个形状参数的三次三角多项式曲线,这类曲线具有三次多项式B样条的许多重要性质:对非重节点为C2-连续,对均匀节点则为C3-连续,能直接表示椭圆.根据形状参数的各种不同取值,人们既能整体、又能局部地调控这类曲线的形状.此外,还讨论了多形状参数的三角Bézier曲线的情况.
Cubic non-uniform trigonometric polynomial curves with multiple shape parameters are presented in this paper. They are C^2-continuous for a non-multiple knot vector and C^3-continuous for a uniform knot vector respectively. The ellipses can also be represented by them. Taking different values of the shape parameters, one can totally or locally adjust the shapes of the curves. Trigonometric Bézier curves with multiple shape parameters are also discussed.
出处
《计算机辅助设计与图形学学报》
EI
CSCD
北大核心
2006年第10期1599-1606,共8页
Journal of Computer-Aided Design & Computer Graphics
关键词
三角多项式
三角曲线
B样条
非均匀节点
多形状参数
三角BÉZIER曲线
trigonometric polynomial
trigonometric curves
B-spline
non-uniform knots
multiple shape parameters
trigonometric B6zier curves
