Monotonicity Preserving Interpolation Using Rational Quartic Said-Ball Function
A curve interpolation scheme with C1 continuity is developed by using rational quartic Said-Ball function with quartic numerator and linear denominator. The scheme has a unique representation, with one shape parameter that can be used to change the shape of the curve. Sufficient conditions for th...
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Springer Science and Business Media B.V.
2021
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my.utp.eprints.302942022-03-25T06:40:40Z Monotonicity Preserving Interpolation Using Rational Quartic Said-Ball Function Abdul Karim, S.A. Nguyen, V.T. A curve interpolation scheme with C1 continuity is developed by using rational quartic Said-Ball function with quartic numerator and linear denominator. The scheme has a unique representation, with one shape parameter that can be used to change the shape of the curve. Sufficient conditions for the monotonicity of the rational interpolant have been derived. Several numerical results are given to show the capability of the presented scheme. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. Springer Science and Business Media B.V. 2021 Conference or Workshop Item NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123275977&doi=10.1007%2f978-981-16-4513-6_49&partnerID=40&md5=d6b3c61f8bd027c45c2e7adae01616d9 Abdul Karim, S.A. and Nguyen, V.T. (2021) Monotonicity Preserving Interpolation Using Rational Quartic Said-Ball Function. In: UNSPECIFIED. http://eprints.utp.edu.my/30294/ |
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A curve interpolation scheme with C1 continuity is developed by using rational quartic Said-Ball function with quartic numerator and linear denominator. The scheme has a unique representation, with one shape parameter that can be used to change the shape of the curve. Sufficient conditions for the monotonicity of the rational interpolant have been derived. Several numerical results are given to show the capability of the presented scheme. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. |
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Conference or Workshop Item |
author |
Abdul Karim, S.A. Nguyen, V.T. |
spellingShingle |
Abdul Karim, S.A. Nguyen, V.T. Monotonicity Preserving Interpolation Using Rational Quartic Said-Ball Function |
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Abdul Karim, S.A. Nguyen, V.T. |
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Abdul Karim, S.A. |
title |
Monotonicity Preserving Interpolation Using Rational Quartic Said-Ball Function |
title_short |
Monotonicity Preserving Interpolation Using Rational Quartic Said-Ball Function |
title_full |
Monotonicity Preserving Interpolation Using Rational Quartic Said-Ball Function |
title_fullStr |
Monotonicity Preserving Interpolation Using Rational Quartic Said-Ball Function |
title_full_unstemmed |
Monotonicity Preserving Interpolation Using Rational Quartic Said-Ball Function |
title_sort |
monotonicity preserving interpolation using rational quartic said-ball function |
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Springer Science and Business Media B.V. |
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2021 |
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123275977&doi=10.1007%2f978-981-16-4513-6_49&partnerID=40&md5=d6b3c61f8bd027c45c2e7adae01616d9 http://eprints.utp.edu.my/30294/ |
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