G^2保形的分段4次广义Ball插值曲线  

G^2 shape preserving segmented quartic generalized Ball curve

作　　者：葛传丰[1] 朱晓临[1] 

机构地区：[1]合肥工业大学数学系,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2008年第11期1875-1877,共3页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(60473114);安徽省自然科学基金资助项目(070416227)

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。In this paper, a method for G^2-continuous shape preserving interpolation curve is given. quartic generalized Ball curve segment is constructed between consecutive two data points. The corresponding curve is G^2-eontinuous 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 exampies are given.

关 键 词：广义BALL曲线 保形插值 G^2连续 

分 类 号：O241.3[理学—计算数学]