Positivity Preserving for Curve and Surface Interpolation using Rational Cubic Bézier
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Institute of Engineering Mathematics, Universiti Malaysia Perlis
2018
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| Online Access: | http://dspace.unimap.edu.my:80/xmlui/handle/123456789/54443 |
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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 |
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English |
| topic |
Partially Blended Rational Bi-Cubic Positivity preserving Bézier Weighted |
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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 |
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1643804321279639552 |