浙江大学学报（理学版）Issue(1)：79-86,8.DOI:10.3785/j.issn.1008-9497.2016.01.014
三次参数曲线的区间扩展
Interval extension of the cubic parametric curves
摘要
Abstract
In order to introduce the shape parameter into the traditional cubic parametric curves ,definition interval of cubic Ferguson curve ,cubic Bézier curve and cubic uniform B‐spline curve is extended from a fixed interval [0 ,1] to a dynamic interval [0 ,α] .Then three cubic parametric curves with parameter αare constructed ,which are named cubic α‐Ferguson curve ,cubicα‐Bézier curve and cubic uniform α‐B‐spline curve ,respectively .The proposed threeα‐curves are ex‐tensions of the corresponding cubic parametric curves .They not only have simple structure ,inherit the properties of the corresponding cubic parametric curves ,but also can be adjusted by altering the value of parameter α.Therefore ,the pro‐posed method is a simple and effective method for constructing shape‐adjustable parametric curves .关键词
三次参数曲线/区间扩展/形状可调Key words
cubic parametric curves/interval extension/shape-adjustable分类
数理科学引用本文复制引用
李军成,刘成志..三次参数曲线的区间扩展[J].浙江大学学报（理学版）,2016,(1):79-86,8.基金项目
湖南省教育厅资助科研项目（14B099）；湖南省自然科学基金资助项目（13JJ6081）． （）
