广义三次DP曲线  

Generalized Cubic DP Curve

作　　者：陈福来[1] 吴晓勤[1] 朱秀云[1] 

机构地区：[1]湖南科技大学数学与计算科学学院,湘潭411201

出　　处：《计算机科学》2012年第12期264-267,共4页Computer Science

基　　金：湖南科技大学研究生创新基金项目(S110124)资助

摘　　要：给出一组带有两个形状参数的三次多项式基函数,它是三次DP基函数的扩展;分析该基函数的性质;基于该组函数定义了广义三次DP曲线,它不仅具有与DP曲线类似的性质,还可通过改变参数λ或μ使其具有形状可调性。当这两段曲线相拼接时,在满足一定的条件下,曲线可达到G2或C2连续,从而为自由曲线设计提供了一种有效的方法。A set of cubic polynomial function with two shape parameters was presented as an extension of cubic DP basis functions.The properties of the new basis were analyzed.The generalized cubic DP curve with two shape parameters was defined using the new basis.The new curve not only retains many properties of cubic DP curve,but also can adjust the shape by moderating shape parameters λ or μ.Based on the some given condition,the two section curves can be G2 or C2-continuous between adjacent generalized cubic DP curves,which is useful for free curve and surface design.

关 键 词：三次DP曲线 形状参数 几何连续 参数连续 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]