eprintid: 5397
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/00/53/97
datestamp: 2023-11-09 16:17:08
lastmod: 2023-11-09 16:17:08
status_changed: 2023-11-09 16:01:32
type: article
metadata_visibility: show
creators_name: Karim, S.A.A.
creators_name: Hasan, M.K.
creators_name: Sulaiman, J.
title: Convexity preserving using GC1 cubic ball interpolation
ispublished: pub
note: cited By 0
abstract: This paper studies the use of cubic Ball interpolation for convexity preserving of scalar data. The parameter ri in the description of the cubic interpolant are subject to be constrained to guarantee the existence of the convex cubic interpolant for convex data. The sufficient condition for the convexity-preserving of cubic Ball interpolant will be developed. The degree smoothness attained is GC1. With suitable choices of the shape parameter, ri the method under consideration is reducing to GC1 quadratic spline shape preserving interpolation for convex data. Several numerical results including with the comparison with existing scheme will be presented to test the applicability of the proposed cubic interpolant. © 2014 Samsul Ariffin Abdul Karim et al.
date: 2014
publisher: Hikari Ltd.
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84899528051&doi=10.12988%2fams.2014.38481&partnerID=40&md5=93953a8bc45fb43e4ef27ce3768eab66
id_number: 10.12988/ams.2014.38481
full_text_status: none
publication: Applied Mathematical Sciences
number: 41-44
pagerange: 2087-2100
refereed: TRUE
issn: 1312885X
citation:   Karim, S.A.A. and Hasan, M.K. and Sulaiman, J.  (2014) Convexity preserving using GC1 cubic ball interpolation.  Applied Mathematical Sciences (41-44).  pp. 2087-2100.  ISSN 1312885X