Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C2 Continuity

Monotonicity preserving interpolation is very important in many sciences and engineering based problems. This paper discuss the monotonicity preserving interpolation for monotone data set by using C2 rational cubic spline interpolant (cubic/quadratic) with three parameters. The data dependent suffic...

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Main Author: Bin Abdul Karim, S.A.
Format: Article
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.19959 /
Published: EDP Sciences 2017
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85033215520&doi=10.1051%2fmatecconf%2f201713104016&partnerID=40&md5=bcf432eb01d1d1578f9a9fed8765358b
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spelling utp-eprints.199592018-04-22T14:27:43Z Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C2 Continuity Bin Abdul Karim, S.A. Monotonicity preserving interpolation is very important in many sciences and engineering based problems. This paper discuss the monotonicity preserving interpolation for monotone data set by using C2 rational cubic spline interpolant (cubic/quadratic) with three parameters. The data dependent sufficient conditions for the monotonicity are derived with two degree freedom. Numerical results suggests that the proposed C2 rational cubic spline preserves the monotonicity of the data and outperform the performance of the other rational cubic spline schemes in term of visually pleasing. © The authors, published by EDP Sciences, 2017. EDP Sciences 2017 Article PeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85033215520&doi=10.1051%2fmatecconf%2f201713104016&partnerID=40&md5=bcf432eb01d1d1578f9a9fed8765358b Bin Abdul Karim, S.A. (2017) Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C2 Continuity. MATEC Web of Conferences, 131 . http://eprints.utp.edu.my/19959/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description Monotonicity preserving interpolation is very important in many sciences and engineering based problems. This paper discuss the monotonicity preserving interpolation for monotone data set by using C2 rational cubic spline interpolant (cubic/quadratic) with three parameters. The data dependent sufficient conditions for the monotonicity are derived with two degree freedom. Numerical results suggests that the proposed C2 rational cubic spline preserves the monotonicity of the data and outperform the performance of the other rational cubic spline schemes in term of visually pleasing. © The authors, published by EDP Sciences, 2017.
format Article
author Bin Abdul Karim, S.A.
spellingShingle Bin Abdul Karim, S.A.
Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C2 Continuity
author_sort Bin Abdul Karim, S.A.
title Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C2 Continuity
title_short Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C2 Continuity
title_full Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C2 Continuity
title_fullStr Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C2 Continuity
title_full_unstemmed Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C2 Continuity
title_sort rational cubic spline interpolation for monotonic interpolating curve with c2 continuity
publisher EDP Sciences
publishDate 2017
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85033215520&doi=10.1051%2fmatecconf%2f201713104016&partnerID=40&md5=bcf432eb01d1d1578f9a9fed8765358b
http://eprints.utp.edu.my/19959/
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