摘要
By adopting the method of controlling parameters this paper describes the construction of various kinds of cubic curve segment and curved surface fragment with rational and non rational parameters, and discusses the relationship between controlling parameters, weighted factors and types, kinds and characteristics of curve segments and curved surface fragments. A mathematical method is provided for CAGD with abundant connotations, broad covering region, convenience, flexibility and direct simplicity.
用控制参量的方法构造各种有理参数与非有理参数三次曲线段、曲面片,并讨论了控制参量、权因子与曲线段、曲面片的类型、种类及特性.为CAGD提供了内涵丰富、覆盖域广,且方便、灵活、简捷的数学方法.