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primary topic: Rational Quartic Spline Interpolation and Its Application in Signal Processing

Rational Quartic Spline Interpolation and Its Application in Signal Processing
type: AcademicArticle
type: Article
abstract: Data interpolation is essential in geometric modelling and computer graphics (CG) specially to model some complex shapes or surfaces. There is a need for the industry of geometric modelling to make changes in the shapes of the curves/surfaces without relying on new data. To achieve this, we proposed a new rational quartic spline (RQS) scheme with three free parameters. We derive the convergence analysis based on Peano-Kernel theorem. Furthermore, the proposed scheme used for shape control and error analysis by manipulating the values of the free parameters. We have calculated the absolute error, Root Mean Square Error (RMSE) and higher coefficient of determination (R2) as error measurement. It observed that the proposed scheme gives higher accuracy in term of smaller error as compared to some existing schemes. This showed that the data interpolation using new RQS scheme with three parameters gives better results as compared to existing quartic polynomial. Furthermore, an application in signal processing shows that the proposed RQS is highly accurate to increase the discrete-time signal sampling. © 2021, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
date: 2021
volume: 320
is part of: Studies in Systems, Decision and Control
status: peerReviewed
status: published
author list: authors
type: EPrint
type: ArticleEPrint
is part of: repository

Springer Science and Business Media Deutschland GmbH
type: Organization

Studies in Systems, Decision and Control
type: Collection
issn: 21984182

K.S. Nisar
type: Person
given name: K.S.
family name: Nisar

N.A. Harim
type: Person
given name: N.A.
family name: Harim

A. Ghaffar
type: Person
given name: A.
family name: Ghaffar

M. Othman
type: Person
given name: M.
family name: Othman

S.A.A. Karim
type: Person
given name: S.A.A.
family name: Karim

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primary topic: Rational Quartic Spline Interpolation and Its Application in Signal Processing