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带形状参数的五次 Bezier 曲线的扩展
引用本文:张丹丹.带形状参数的五次 Bezier 曲线的扩展[J].佳木斯大学学报,2014(2):313-315,317.
作者姓名:张丹丹
作者单位:安徽广播电视大学安庆分校
摘    要:给出了带2个形状参数α,γ五次多项式基函数和带3个形状参数α,β,γ的六次多项式基函数,都是五次Bernstein基函数的扩展。依据这两组基函数,并分别定义了两种带形状参数的多项式曲线。所得到的曲线具有五次Bezier曲线类似的几何性质,并且灵活性比较强。

关 键 词:五次Bezier曲线  形状参数  曲线设计  拼接

Extension of Quintic Bezier Curves with Shape Parameters
ZHANG Dan-dan.Extension of Quintic Bezier Curves with Shape Parameters[J].Journal of Jiamusi University(Natural Science Edition),2014(2):313-315,317.
Authors:ZHANG Dan-dan
Institution:ZHANG Dan-dan;Anqing Campus,Anhui Radio and Television University;
Abstract:Two classes of polynomial basis functions of 5th degree with shape control parameter α,γand 6 th degree with shape control parameter α,β,γwere presented , which are both extensions of quintic Bernstein basis functions .According to the basis functions , the two groups of polynomial curves with shape control parame-ters were defined .The constructed curves inherit the similar geometric properties of the quintic B ezier curve and allow for greater flexibility .
Keywords:quintic Bezier curve  shape parameter  curve design  continuity
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