%0 Journal Article
%T An Improved Method on Shape Preserving Quadratic Spline Interpolation<br>改进的保形二次样条插值
%A LI Dao-lun~
%A <br>李道伦
%A 卢德唐
%A 董玉德
%A 孔祥言
%J 中国图象图形学报
%D 2005
%I 
%X The shape-preserving quadratic spline interpolations introduced by Schumaker need users to adjust the slopes to satisfy monotone condition, We study carefully the reasons of requiring users to adjust the slopes and introduce a new method that does not need the users to adjust the slopes. The new method first finds out the intervals that do not satisfy monotone conditions, then chooses additional split points that are given suitable slopes to satisfying monotone conditions, at last constructs shape preserving polynomial interpolation based on the method of Schumaker. Examples are given to illustrate the efficiency of the interpolation.
%K shape preserving polynomial spline
%K monotone preserving
%K additional split point<br>样条插值
%K 保形
%K 计算机辅助设计
%K 人机交互
%K 插值方法
%K C^1连续
%K 保单调性
%K 插值函数
%K 相邻节点
%K 应用价值
%K 子区间
%K 加密点
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=D06194629680C940ACE75262F54B9D85&aid=D70EFFDE8A23B3D1&yid=2DD7160C83D0ACED&vid=F3090AE9B60B7ED1&iid=E158A972A605785F&sid=AF0641F74554D706&eid=F3A3627BFEF439C1&journal_id=1006-8961&journal_name=中国图象图形学报&referenced_num=1&reference_num=7