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G2保形的分段4次广义Ball插值曲线
引用本文:葛传丰,朱晓临.G2保形的分段4次广义Ball插值曲线[J].合肥工业大学学报(自然科学版),2008,31(11).
作者姓名:葛传丰  朱晓临
作者单位:合肥工业大学,数学系,安徽,合肥,230009
基金项目:国家自然科学基金,国家自然科学基金 
摘    要:文章给出了构造保形插值曲线的一种方法,即在每2个型值点之间构造一段4次广义Ball曲线,所构造的插值曲线是G2连续的而且是保形的,曲线可以作局部修改,曲线的形状可以由参数调节,最后给出了数值实例。

关 键 词:广义Ball曲线  保形插值  G2连续

G2 shape preserving segmented quartic generalized Ball curve
GE Chuan-feng,ZHU Xiao-lin.G2 shape preserving segmented quartic generalized Ball curve[J].Journal of Hefei University of Technology(Natural Science),2008,31(11).
Authors:GE Chuan-feng  ZHU Xiao-lin
Abstract:In this paper,a method for G2-continuous shape preserving interpolation curve is given.A quartic generalized Ball curve segment is constructed between consecutive two data points.The corresponding curve is G2-continuous and shape preserving.The local modifications of the curve are possible.The shape of the curve can be modified by changing the parameters.Finally,two numerical examples are given.
Keywords:generalized Ball curve  shape preserving  G2-continuity
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