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RATIONAL GENERALIZED BALL FUNCTIONS FOR CONVEX INTERPOLATING CURVES

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

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Main Author: ABDUL KARIM, SAMSUL ARIFFIN
Format: Citation Index Journal
Published: UNIVERSITI KEBANGSAAN MALAYSIA 2009
Subjects:
Q Science (General)
Online Access:http://eprints.utp.edu.my/1989/1/JQMA_5_1__Samsul-Rahni.pdf
http://eprints.utp.edu.my/1989/
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spelling my.utp.eprints.19892017-01-19T08:25:19Z RATIONAL GENERALIZED BALL FUNCTIONS FOR CONVEX INTERPOLATING CURVES ABDUL KARIM, SAMSUL ARIFFIN Q Science (General) A curve interpolation scheme based on the generalized Ball basis functions which has been developed by the authors uses piecewise rational quintic generalized Ball functions to visualize scientific data. In fact, this scheme uses a rational generalized 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 C^1 . Some numerical results are presented. UNIVERSITI KEBANGSAAN MALAYSIA 2009-07 Citation Index Journal PeerReviewed application/pdf http://eprints.utp.edu.my/1989/1/JQMA_5_1__Samsul-Rahni.pdf ABDUL KARIM, SAMSUL ARIFFIN (2009) RATIONAL GENERALIZED BALL FUNCTIONS FOR CONVEX INTERPOLATING CURVES. [Citation Index Journal] http://eprints.utp.edu.my/1989/
institution Universiti Teknologi Petronas
building UTP Resource Centre
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Petronas
content_source UTP Institutional Repository
url_provider http://eprints.utp.edu.my/
topic Q Science (General)
spellingShingle Q Science (General)
ABDUL KARIM, SAMSUL ARIFFIN
RATIONAL GENERALIZED BALL FUNCTIONS FOR CONVEX INTERPOLATING CURVES
description A curve interpolation scheme based on the generalized Ball basis functions which has been developed by the authors uses piecewise rational quintic generalized Ball functions to visualize scientific data. In fact, this scheme uses a rational generalized 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 C^1 . Some numerical results are presented.
format Citation Index Journal
author ABDUL KARIM, SAMSUL ARIFFIN
author_facet ABDUL KARIM, SAMSUL ARIFFIN
author_sort ABDUL KARIM, SAMSUL ARIFFIN
title RATIONAL GENERALIZED BALL FUNCTIONS FOR CONVEX INTERPOLATING CURVES
title_short RATIONAL GENERALIZED BALL FUNCTIONS FOR CONVEX INTERPOLATING CURVES
title_full RATIONAL GENERALIZED BALL FUNCTIONS FOR CONVEX INTERPOLATING CURVES
title_fullStr RATIONAL GENERALIZED BALL FUNCTIONS FOR CONVEX INTERPOLATING CURVES
title_full_unstemmed RATIONAL GENERALIZED BALL FUNCTIONS FOR CONVEX INTERPOLATING CURVES
title_sort rational generalized ball functions for convex interpolating curves
publisher UNIVERSITI KEBANGSAAN MALAYSIA
publishDate 2009
url http://eprints.utp.edu.my/1989/1/JQMA_5_1__Samsul-Rahni.pdf
http://eprints.utp.edu.my/1989/
_version_ 1738655164705800192
score 13.160551

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