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://journalarticle.ukm.my/1915/

id	ukm-1915
recordtype	eprints
spelling	ukm-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
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
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://journalarticle.ukm.my/1915/
first_indexed	2023-09-18T19:34:41Z
last_indexed	2023-09-18T19:34:41Z
_version_	1777405192492285952

Rational generalised ball functions for convex interpolating curves

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