relation: https://khub.utp.edu.my/scholars/6344/
title: Positivity preserving interpolation using rational bicubic spline
creator: Abdul Karim, S.A.
creator: Voon Pang, K.
creator: Saaban, A.
description: 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.
publisher: Hindawi Limited
date: 2015
type: Article
type: PeerReviewed
identifier:   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     
relation: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84926686710&doi=10.1155%2f2015%2f572768&partnerID=40&md5=c8fa0c958f305f3832f85bd5bd5b5be0
relation: 10.1155/2015/572768
identifier: 10.1155/2015/572768