๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Local control of interpolating rational cubic spline curves

โœ Scribed by Qi Duan; Fangxun Bao; Shitian Du; E.H. Twizell


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
851 KB
Volume
41
Category
Article
ISSN
0010-4485

No coin nor oath required. For personal study only.

โœฆ Synopsis


A rational spline based on function values only was constructed in the authors' earlier works. This paper deals with the properties of the interpolation and the local control of the interpolant curves. The methods of value control, convex control and inflection-point control of the interpolation at a point are developed. Some numerical examples are given to illustrate these methods.


๐Ÿ“œ SIMILAR VOLUMES


Point control of rational interpolating
โœ Fangxun Bao; Qinghua Sun; Jianxun Pan; Qi Duan ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 337 KB

A rational cubic spline, a kind of smooth interpolator with cubic denominator, is constructed using function values and first derivatives of a function. In order to meet the needs of practical design, a new method of value control, inflection-point control and convexity control of the interpolation

Range restricted interpolation using Gre
โœ Marion Bastian-Walther; Jochen W. Schmidt ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 736 KB

The construction of range restricted univariate and bivariate interpolants to gridded data is considered. We apply Gregory's rational cubic C 1 splines as well as related rational quintic C 2 splines. Assume that the lower and upper obstacles are compatible with the data set. Then the tension parame

Local Behaviour of the Deficient Discret
โœ S.S. Rana; Y.P. Dubey ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 234 KB

In this paper we have obtained a precise error estimate concerning deficient discrete cubic spline interpolant matching with the given function at the intermediate points between successive mesh points.