eprintid: 15994
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/01/59/94
datestamp: 2023-11-10 03:30:37
lastmod: 2023-11-10 03:30:37
status_changed: 2023-11-10 02:00:56
type: article
metadata_visibility: show
creators_name: Harim, N.A.
creators_name: Karim, S.A.A.
creators_name: Othman, M.
creators_name: Ghaffar, A.
creators_name: Nisar, K.S.
title: Rational Quartic Spline Interpolation and Its Application in Signal Processing
ispublished: pub
note: cited By 0
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
publisher: Springer Science and Business Media Deutschland GmbH
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85093858651&doi=10.1007%2f978-981-15-8606-4_1&partnerID=40&md5=f73069e51f5594c370999722ab8fccc2
id_number: 10.1007/978-981-15-8606-4₁
full_text_status: none
publication: Studies in Systems, Decision and Control
volume: 320
pagerange: 1-23
refereed: TRUE
issn: 21984182
citation:   Harim, N.A. and Karim, S.A.A. and Othman, M. and Ghaffar, A. and Nisar, K.S.  (2021) Rational Quartic Spline Interpolation and Its Application in Signal Processing.  Studies in Systems, Decision and Control, 320.  pp. 1-23.  ISSN 21984182