eprintid: 13493
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/01/34/93
datestamp: 2023-11-10 03:28:03
lastmod: 2023-11-10 03:28:03
status_changed: 2023-11-10 01:51:18
type: article
metadata_visibility: show
creators_name: Ali, F.A.M.
creators_name: Karim, S.A.A.
creators_name: Saaban, A.
creators_name: Hasan, M.K.
creators_name: Ghaffar, A.
creators_name: Nisar, K.S.
creators_name: Baleanu, D.
title: Construction of cubic timmer triangular patches and its application in scattered data interpolation
ispublished: pub
note: cited By 20
abstract: This paper discusses scattered data interpolation by using cubic Timmer triangular patches. In order to achieve C1 continuity everywhere, we impose a rational corrected scheme that results from convex combination between three local schemes. The final interpolant has the form quintic numerator and quadratic denominator. We test the scheme by considering the established dataset as well as visualizing the rainfall data and digital elevation in Malaysia. We compare the performance between the proposed scheme and some well-known schemes. Numerical and graphical results are presented by using Mathematica and MATLAB. From all numerical results, the proposed scheme is better in terms of smaller root mean square error (RMSE) and higher coefficient of determination (R2). The higher R2 value indicates that the proposed scheme can reconstruct the surface with excellent fit that is in line with the standard set by Renka and Brown's validation. © 2020 by the authors.
date: 2020
publisher: MDPI AG
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85080112103&doi=10.3390%2fmath8020159&partnerID=40&md5=c9f0e577f5aeaea15dbdc64ed1f7e2a2
id_number: 10.3390/math8020159
full_text_status: none
publication: Mathematics
volume: 8
number: 2
refereed: TRUE
issn: 22277390
citation:   Ali, F.A.M. and Karim, S.A.A. and Saaban, A. and Hasan, M.K. and Ghaffar, A. and Nisar, K.S. and Baleanu, D.  (2020) Construction of cubic timmer triangular patches and its application in scattered data interpolation.  Mathematics, 8 (2).   ISSN 22277390