Positivity Preserving Interpolation by Using Rational Quartic Spline
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
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Average
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Top 10%
Abstract
In this study, a new scheme for positivity preserving interpolation is proposed by using C-1 rational quartic spline of (quartic/quadratic) with three parameters. The sufficient condition for the positivity rational quartic interpolant is derived on one parameter meanwhile the other two are free parameters for shape modification. These conditions will guarantee to provide positive interpolating curve everywhere. We tested the proposed positive preserving scheme with four positive data and compared the results with other established schemes. Based on the graphical and numerical results, we found that the proposed scheme is better than existing schemes, since it has extra free parameter to control the positive interpolating curve.
Description
Ghaffar, Abdul/0000-0002-5994-8440
ORCID
Keywords
Positivity, Rational Quartic Spline, Shape-Preserving, C-1 Continuity, Positive Data, Artificial intelligence, Single Image Super-Resolution Techniques, completely monotonic integer degree, Computational Mechanics, Geometry, Structural engineering, Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, gamma function, Engineering, Spline (mechanical), QA1-939, FOS: Mathematics, Curve fitting, Spline interpolation, Isogeometric Analysis in Computational Engineering, Quartic function, Scheme (mathematics), Numerical Analysis, completely monotonic function, Motion (physics), Mathematical optimization, Statistics, Shape Optimization, Pure mathematics, Quadratic equation, Bilinear interpolation, Applied mathematics, Computer science, Physical Sciences, Computer Science, Interpolation (computer graphics), Computer Vision and Pattern Recognition, Mathematics, Numerical computation using splines, positivity preserving method, shape-preserving, rational quartic spline, \(C^1\) continuity
Turkish CoHE Thesis Center URL
Fields of Science
02 engineering and technology, 0202 electrical engineering, electronic engineering, information engineering
Citation
Harim, Noor Adilla...et al. (2020). "Positivity preserving interpolation by using rational quartic spline", AIMS Mathematics, Vol. 5, No. 4, pp. 3762-3782.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
11
Source
AIMS Mathematics
Volume
5
Issue
4
Start Page
3762
End Page
3782
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Scopus : 13
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13
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9
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1
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