Positivity preserving interpolation by using rational cubic ball spline

This paper discusses the positivity preserving by using rational cubic Ball interpolant of the form cubic/quadratic with two parameters. The sufficient condition for the positivity is derived on one parameter meanwhile the other one is a free parameter to control the final shape of the interpolating...

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Main Author: Karim, S.A.A.
Format: Article
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.25694 /
Published: Penerbit UTM Press 2016
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84994252337&doi=10.11113%2fjt.v78.8107&partnerID=40&md5=e9c98838b37fb9a96c4521d49c777659
http://eprints.utp.edu.my/25694/
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spelling utp-eprints.256942021-08-27T09:40:45Z Positivity preserving interpolation by using rational cubic ball spline Karim, S.A.A. This paper discusses the positivity preserving by using rational cubic Ball interpolant of the form cubic/quadratic with two parameters. The sufficient condition for the positivity is derived on one parameter meanwhile the other one is a free parameter to control the final shape of the interpolating curves. The degree smoothness achieved is C1. From numerical results, the rational cubic Ball spline with two parameters gives smooth interpolating positive curves as well as visually pleasing for computer graphics visualization. Furthermore the scheme is better than existing schemes i.e. its easiness to use and less computation. All numerical results are produced by using Mathematica. © 2016 Penerbit UTM Press. All rights reserved. Penerbit UTM Press 2016 Article NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-84994252337&doi=10.11113%2fjt.v78.8107&partnerID=40&md5=e9c98838b37fb9a96c4521d49c777659 Karim, S.A.A. (2016) Positivity preserving interpolation by using rational cubic ball spline. Jurnal Teknologi, 78 (11). pp. 141-148. http://eprints.utp.edu.my/25694/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description This paper discusses the positivity preserving by using rational cubic Ball interpolant of the form cubic/quadratic with two parameters. The sufficient condition for the positivity is derived on one parameter meanwhile the other one is a free parameter to control the final shape of the interpolating curves. The degree smoothness achieved is C1. From numerical results, the rational cubic Ball spline with two parameters gives smooth interpolating positive curves as well as visually pleasing for computer graphics visualization. Furthermore the scheme is better than existing schemes i.e. its easiness to use and less computation. All numerical results are produced by using Mathematica. © 2016 Penerbit UTM Press. All rights reserved.
format Article
author Karim, S.A.A.
spellingShingle Karim, S.A.A.
Positivity preserving interpolation by using rational cubic ball spline
author_sort Karim, S.A.A.
title Positivity preserving interpolation by using rational cubic ball spline
title_short Positivity preserving interpolation by using rational cubic ball spline
title_full Positivity preserving interpolation by using rational cubic ball spline
title_fullStr Positivity preserving interpolation by using rational cubic ball spline
title_full_unstemmed Positivity preserving interpolation by using rational cubic ball spline
title_sort positivity preserving interpolation by using rational cubic ball spline
publisher Penerbit UTM Press
publishDate 2016
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-84994252337&doi=10.11113%2fjt.v78.8107&partnerID=40&md5=e9c98838b37fb9a96c4521d49c777659
http://eprints.utp.edu.my/25694/
_version_ 1741197017808371712
score 11.62408

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