摘要
本论文介绍并推导了用二次非均匀有理B样条来精确表示几何造型及CAD/CAM系统中常用的二次曲面和圆锥曲线。在这第一部分里,我们将证明二次有理B样条和圆锥曲线的等价性并用具体实例来说明权因子的确定和表达式的推导方法。
Conic curves and quadric surfaces are widely used in CAD/CAM applications. Two parts paper present a way to represent these items using quadratic aonuniform rational B-splines ( NU RB). In the first part, we prove the identity between quadratic non-uniform rational B-splines and co nic curves and shov how to determine a specified NURB representation as well as its weighting fac tors hi by detailed examples.
出处
《计算机辅助设计与图形学学报》
EI
CSCD
1989年第2期28-35,共8页
Journal of Computer-Aided Design & Computer Graphics
