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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Main Authors: Abdul Karim, S.A., Nguyen, V.T.
Format: Conference or Workshop Item
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.30294 /
Published: Springer Science and Business Media B.V. 2021
Online Access: 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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spelling 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/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description 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.
format 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
author_sort 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
publisher Springer Science and Business Media B.V.
publishDate 2021
url 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/
_version_ 1741197381967282176
score 11.62408

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