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Positivity Preserving for Curve and Surface Interpolation using Rational Cubic Bézier

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Bibliographic Details
Main Authors: Samsul Ariffin, Abdul Karim, Mohammad Khatim, Hasan, Mohd Tahir, Ismail, Jumat, Sulaiman, Ishak, Hashim
Other Authors: samsul_ariffin@utp.edu.my
Format: Article
Language:English
Published: Institute of Engineering Mathematics, Universiti Malaysia Perlis 2018
Subjects:
Partially Blended Rational Bi-Cubic
Positivity preserving
Bézier
Weighted
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/54443
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spelling my.unimap-544432018-07-24T01:44:33Z Positivity Preserving for Curve and Surface Interpolation using Rational Cubic Bézier Samsul Ariffin, Abdul Karim Mohammad Khatim, Hasan Mohd Tahir, Ismail Jumat, Sulaiman Ishak, Hashim samsul_ariffin@utp.edu.my Partially Blended Rational Bi-Cubic Positivity preserving Bézier Weighted Link to publisher's homepage at http://amci.unimap.edu.my In [2] the authors have asserted that their proposed partially blended rational bi-cubic spline is shape preserving only for monotone and convex data. In this paper, we prove that the scheme of [2] also positive shape preserving interpolation for positive data. We begin with positive interpolating for curve. Then the sufficient condition for positive surface interpolation is derived on all four boundary curves to form positive interpolating surface. Several numerical results are presented including comparison with some existing scheme. 2018-07-24T01:44:33Z 2018-07-24T01:44:33Z 2018 Article Applied Mathematics and Computational Intelligence (AMCI), vol.7(1), 2018, pages 79-104 2289-1323 (online) 2289-1315 (print) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/54443 en Institute of Engineering Mathematics, Universiti Malaysia Perlis
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Partially Blended Rational Bi-Cubic
Positivity preserving
Bézier
Weighted
spellingShingle Partially Blended Rational Bi-Cubic
Positivity preserving
Bézier
Weighted
Samsul Ariffin, Abdul Karim
Mohammad Khatim, Hasan
Mohd Tahir, Ismail
Jumat, Sulaiman
Ishak, Hashim
Positivity Preserving for Curve and Surface Interpolation using Rational Cubic Bézier
description Link to publisher's homepage at http://amci.unimap.edu.my
author2 samsul_ariffin@utp.edu.my
author_facet samsul_ariffin@utp.edu.my
Samsul Ariffin, Abdul Karim
Mohammad Khatim, Hasan
Mohd Tahir, Ismail
Jumat, Sulaiman
Ishak, Hashim
format Article
author Samsul Ariffin, Abdul Karim
Mohammad Khatim, Hasan
Mohd Tahir, Ismail
Jumat, Sulaiman
Ishak, Hashim
author_sort Samsul Ariffin, Abdul Karim
title Positivity Preserving for Curve and Surface Interpolation using Rational Cubic Bézier
title_short Positivity Preserving for Curve and Surface Interpolation using Rational Cubic Bézier
title_full Positivity Preserving for Curve and Surface Interpolation using Rational Cubic Bézier
title_fullStr Positivity Preserving for Curve and Surface Interpolation using Rational Cubic Bézier
title_full_unstemmed Positivity Preserving for Curve and Surface Interpolation using Rational Cubic Bézier
title_sort positivity preserving for curve and surface interpolation using rational cubic bézier
publisher Institute of Engineering Mathematics, Universiti Malaysia Perlis
publishDate 2018
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/54443
_version_ 1643804321279639552
score 13.214268

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