Based on Parameter Equation Function Rational Spline Interpolation with the Shape Preserved

Author

Peng Feng-Bin ; Li Shan-Shan ; Wei Yan-Jie ; Wang Qiang

Author_Institution

Sch. of Math., Anhui Univ. of Sci. & Technol., Huainan, China

fYear

2013

fDate

14-15 Sept. 2013

Firstpage

301

Lastpage

304

Abstract

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.

Keywords

data visualisation; interpolation; rational functions; splines (mathematics); error estimation; interactive shape modification; interpolation curve; interpolation problem; monotonicity preserving; parameter equation function rational spline interpolation; rational cubic spline function; shape parameter; shape preserving; sign preserving; sufficient condition; Equations; Error analysis; Interpolation; Shape; Splines (mathematics); Sufficient conditions; monotonicity preserving; parameter equation; rational spline; shape parameter; sign preserving;

fLanguage

English

Publisher

ieee

Conference_Titel

Virtual Reality and Visualization (ICVRV), 2013 International Conference on

Conference_Location

Xi´an

Type

conf

DOI

10.1109/ICVRV.2013.58

Filename

6689441