TY  - JOUR
N2  - 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.
N1  - cited By 0
IS  - 41-44
TI  - Convexity preserving using GC1 cubic ball interpolation
ID  - scholars5397
SP  - 2087
AV  - none
A1  - Karim, S.A.A.
A1  - Hasan, M.K.
A1  - Sulaiman, J.
JF  - Applied Mathematical Sciences
UR  - https://www.scopus.com/inward/record.uri?eid=2-s2.0-84899528051&doi=10.12988%2fams.2014.38481&partnerID=40&md5=93953a8bc45fb43e4ef27ce3768eab66
EP  - 2100
Y1  - 2014///
PB  - Hikari Ltd.
SN  - 1312885X
ER  -