摘要
应用重心坐标推导出有理三次 Bezier曲线的表达式 ,通过给定的 4个控制顶点和位于这些顶点凸包内三次有理曲线上的一点 ,反算出了该点的参数和内权因子 .研究了在保持曲线形状不变的条件下 ,空间有理三次
The expression of the rational cubic Bezier curves was derived by the Barycentric Coordinate method.And the parameter of the point and the inner weight was inversely solved with four given vertices and a point on the cubic curve inside the convex hull of the vertices.The equivalent property between the variation weights for rational cubic Bezier curve and parametric transformation of curve with the shape unchanged was investigated.
出处
《纺织高校基础科学学报》
CAS
2004年第4期331-333,共3页
Basic Sciences Journal of Textile Universities
基金
陕西省教育厅专项科研计划资助项目 ( 0 2 JK0 4 8)