Title :
A shape preserving rational cubic interpolation spline
Author_Institution :
School of science, Shandong University of Technology, Zibo, 255049, China
Abstract :
An explicit representation of a C1 piecewise rational cubic spline has been developed, which can preserve monotonicity and convexity of the data set. The explicit representation is easily constructed, and numerical experiments indicate that the method produces visually pleasing curves. Furthermore, an error analysis of the interpolant is give.
Keywords :
Computers; Error analysis; Interpolation; Shape; Spline; Sufficient conditions; approximation; convexity; interpolation; monotonicity; rational spline;
Conference_Titel :
Information Science and Engineering (ICISE), 2010 2nd International Conference on
Conference_Location :
Hangzhou, China
Print_ISBN :
978-1-4244-7616-9
DOI :
10.1109/ICISE.2010.5689166