EXTENSION OF QUARTIC BEZIER CURVES WITH MULTIPLE SHAPE PARAMETERSIN THE FIRST AND THE END BASIS FUNCTIONS

摘要：

A class of quintic polynomial basis functions with three shape parameters was presented by the extension of quartic Bemstein basis functions.The first and the end basis functions all had two shape parameters that were the extension of one parameter in other literatures; properties of quintic basis functions with three shape parameters were analyzed and then a polynomial curve was defined based on the basis functions.The curve not only inherits the outstanding properties of the quartic Bezier curve, but it is also adjustable in shape and the two classes of curves in literature are especial examples.That λ,α,β parameters impact on curve is analyzed.Some examples illustrate that the curve defined by the first and the end basis functions with multiple shape parameters provides an effective method for designing curves.

关键词： Quartic Bezier Curve Multiple Shape Parameters Curve Design Eztensions of Parameters Basis Functions

作者: Yang Lin Tangsen Zhan Huahui Cai

作者单位: School of Information and Engineer of Jingdezhen Ceramic Institution Jingdezhen,Jiangxi 333403,P.R.China

会议类型: 国际会议

会议名称: 2009 International Symposium on Computer Science and Technology(2009 中国宁波国际计算机科学与技术学术大会)

会议地点: 宁波

会议语种:英文

页码: 231-234

在线出版日期: 2009-11-20（万方平台首次上网日期，不代表论文的发表时间）