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Rational Trigonometric Interpolation and Constrained Control of the Interpolant Curves

by S S Rana, Mridula Dube, Preeti Tiwari
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 67 - Number 4
Year of Publication: 2013
Authors: S S Rana, Mridula Dube, Preeti Tiwari
10.5120/11387-6671

S S Rana, Mridula Dube, Preeti Tiwari . Rational Trigonometric Interpolation and Constrained Control of the Interpolant Curves. International Journal of Computer Applications. 67, 4 ( April 2013), 40-44. DOI=10.5120/11387-6671

@article{ 10.5120/11387-6671,
author = { S S Rana, Mridula Dube, Preeti Tiwari },
title = { Rational Trigonometric Interpolation and Constrained Control of the Interpolant Curves },
journal = { International Journal of Computer Applications },
issue_date = { April 2013 },
volume = { 67 },
number = { 4 },
month = { April },
year = { 2013 },
issn = { 0975-8887 },
pages = { 40-44 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume67/number4/11387-6671/ },
doi = { 10.5120/11387-6671 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:23:49.383029+05:30
%A S S Rana
%A Mridula Dube
%A Preeti Tiwari
%T Rational Trigonometric Interpolation and Constrained Control of the Interpolant Curves
%J International Journal of Computer Applications
%@ 0975-8887
%V 67
%N 4
%P 40-44
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In the present paper a new method is developed for smooth rational cubic trigonometric interpolation based on values of function which is being interpolated. This rational cubic trigonometric spline is used to constrain the shape of the interpolant such as to force it to be in the given region by selecting suitable parameters. The more important achievement mathematically of this method is that the uniqueness of the interpolating function for the given data would be replaced by uniqueness of the interpolating curve for the given data and selected parameters. Approximation properties have been discussed and confirms that the expected approximation order is O(h2).

References
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Index Terms

Computer Science
Information Sciences

Keywords

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