Based on parameter equation function rational spline interpolation with the shape preserved

摘要：

　　A rational cubic spline function (3/2) involving two shape parameters is presented,and is applied to the interpolation problem with the data that its type is parameter equation function.Based on it,we deduce a sufficient condition for sign preserving and monotonicity preserving.Thus by adjusting the shape parameters,it can interactively modify the shape of the interpolation curve and meet the relevant requirement for shape preserving.Furthermore,the error estimation of the spline interpolant is also given.And the relevant numerical experiments confirm the previous conclusion.

关键词： rational spline parameter equation shape parameter sign preserving monotonicity preserving

作者: Peng Feng-bin Li shan-shan Wei Yan-jie Wang qiang

作者单位: School of mathematics,Anhui University of Science and Technology,Huainan 232001,Anhui;Center for Hig School of mathematics,Anhui University of Science and Technology,Huainan 232001,Anhui Center for High Performance Computing,Shenzhen Institutes of Advanced Technology,Chinese Academy of

会议类型: 国际会议

会议名称: 2013中国虚拟现实大会暨ICVRV2013

会议地点: 西安

会议语种:英文

页码: 301-304

在线出版日期: 2013-09-14（万方平台首次上网日期，不代表论文的发表时间）