eprintid: 6344
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/00/63/44
datestamp: 2023-11-09 16:18:07
lastmod: 2023-11-09 16:18:07
status_changed: 2023-11-09 16:05:44
type: article
metadata_visibility: show
creators_name: Abdul Karim, S.A.
creators_name: Voon Pang, K.
creators_name: Saaban, A.
title: Positivity preserving interpolation using rational bicubic spline
ispublished: pub
note: cited By 12
abstract: This paper discusses the positivity preserving interpolation for positive surfaces data by extending the C 1 rational cubic spline interpolant of Karim and Kong to the bivariate cases. The partially blended rational bicubic spline has 12 parameters in the descriptions where 8 of them are free parameters. The sufficient conditions for the positivity are derived on every four boundary curves network on the rectangular patch. Numerical comparison with existing schemes also has been done in detail. Based on Root Mean Square Error (RMSE), our partially blended rational bicubic spline is on a par with the established methods. © 2015 Samsul Ariffin Abdul Karim et al.
date: 2015
publisher: Hindawi Limited
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84926686710&doi=10.1155%2f2015%2f572768&partnerID=40&md5=c8fa0c958f305f3832f85bd5bd5b5be0
id_number: 10.1155/2015/572768
full_text_status: none
publication: Journal of Applied Mathematics
volume: 2015
refereed: TRUE
issn: 1110757X
citation:   Abdul Karim, S.A. and Voon Pang, K. and Saaban, A.  (2015) Positivity preserving interpolation using rational bicubic spline.  Journal of Applied Mathematics, 2015.   ISSN 1110757X