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Rational generalised ball functions for convex interpolating curves

A curve interpolation scheme based on the generalised Ball basis functions which has been developed by the authors uses piecewise rational quintic generalised Ball functions to visualise scientific data. In fact, this scheme uses a rational generalised Ball with quartic numerator and linear denom...

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Main Authors: Samsul Ariffin Abdul Karim,, Abd Rahni Mt Piah,
Format: Article
Published: Penerbit ukm 2009
Online Access:http://journalarticle.ukm.my/1915/
http://www.ukm.my/~ppsmfst/jqma/index.html
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spelling my-ukm.journal.19152011-06-20T02:55:36Z http://journalarticle.ukm.my/1915/ Rational generalised ball functions for convex interpolating curves Samsul Ariffin Abdul Karim, Abd Rahni Mt Piah, A curve interpolation scheme based on the generalised Ball basis functions which has been developed by the authors uses piecewise rational quintic generalised Ball functions to visualise scientific data. In fact, this scheme uses a rational generalised Ball with quartic numerator and linear denominator, which involves shape parameters. In this paper, we discuss an interpolation problem for convex data. The two parameters, in the description of the rational interpolant, have been constrained to preserve the shape of the data. We examine the convexity-preserving properties of this rational interpolant to a given data set. Based on the analysis, the degree of smoothness attained is C1. Some numerical results are presented Penerbit ukm 2009-07 Article PeerReviewed Samsul Ariffin Abdul Karim, and Abd Rahni Mt Piah, (2009) Rational generalised ball functions for convex interpolating curves. Journal of Quality Measurement and Analysis, 5 (1). pp. 65-74. ISSN 1823-5670 http://www.ukm.my/~ppsmfst/jqma/index.html
institution Universiti Kebangsaan Malaysia
building Perpustakaan Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
description A curve interpolation scheme based on the generalised Ball basis functions which has been developed by the authors uses piecewise rational quintic generalised Ball functions to visualise scientific data. In fact, this scheme uses a rational generalised Ball with quartic numerator and linear denominator, which involves shape parameters. In this paper, we discuss an interpolation problem for convex data. The two parameters, in the description of the rational interpolant, have been constrained to preserve the shape of the data. We examine the convexity-preserving properties of this rational interpolant to a given data set. Based on the analysis, the degree of smoothness attained is C1. Some numerical results are presented
format Article
author Samsul Ariffin Abdul Karim,
Abd Rahni Mt Piah,
spellingShingle Samsul Ariffin Abdul Karim,
Abd Rahni Mt Piah,
Rational generalised ball functions for convex interpolating curves
author_facet Samsul Ariffin Abdul Karim,
Abd Rahni Mt Piah,
author_sort Samsul Ariffin Abdul Karim,
title Rational generalised ball functions for convex interpolating curves
title_short Rational generalised ball functions for convex interpolating curves
title_full Rational generalised ball functions for convex interpolating curves
title_fullStr Rational generalised ball functions for convex interpolating curves
title_full_unstemmed Rational generalised ball functions for convex interpolating curves
title_sort rational generalised ball functions for convex interpolating curves
publisher Penerbit ukm
publishDate 2009
url http://journalarticle.ukm.my/1915/
http://www.ukm.my/~ppsmfst/jqma/index.html
_version_ 1643735200309444608
score 13.211869

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