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  5. Positivity preserving for curve and surface interpolation using rational cubic Bézier
 
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Positivity preserving for curve and surface interpolation using rational cubic Bézier

Journal
Applied Mathematics and Computational Intelligence (AMCI)
ISSN
2289-1323
Date Issued
2018-12
Author(s)
Samsul Ariffin Abdul Karim
Universiti Teknologi PETRONAS
Mohammad Khatim Hasan
Universiti Kebangsaan Malaysia
Mohd Tahir Ismail
Universiti Sains Malaysia
Jumat Sulaiman
Universiti Malaysia Sabah
Ishak Hashim
Universiti Kebangsaan Malaysia
Handle (URI)
https://amci.unimap.edu.my/
https://ejournal.unimap.edu.my/index.php/amci/article/view/170/136
https://hdl.handle.net/20.500.14170/1578
Abstract
In [2] the authors have asserted that their proposed partially blended rational bi-cubic spline is shapepreserving 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 surfaceinterpolation is derived on all four boundary curves to form positive interpolating surface. Several numerical results are presented including comparison with some existing scheme.
Subjects
  • Partially Blended Rat...

  • Positivity preserving...

  • Bézier

  • Weighted

File(s)
Positivity Preserving for Curve.pdf (1.67 MB)
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Acquisition Date
Mar 5, 2026
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Acquisition Date
Mar 5, 2026
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