relation: https://khub.utp.edu.my/scholars/13272/
title: Generalized 5-point approximating subdivision scheme of varying arity
creator: Hussain, S.M.
creator: Ur Rehman, A.
creator: Baleanu, D.
creator: Nisar, K.S.
creator: Ghaffar, A.
creator: Karim, S.A.A.
description: The Subdivision Schemes (SSs) have been the heart of Computer Aided Geometric Design (CAGD) almost from its origin, and various analyses of SSs have been conducted. SSs are commonly used in CAGD and several methods have been invented to design curves/surfaces produced by SSs to applied geometry. In this article, we consider an algorithm that generates the 5-point approximating subdivision scheme with varying arity. By applying the algorithm, we further discuss several properties: continuity, Holder regularity, limit stencils, error bound, and shape of limit curves. The efficiency of the scheme is also depicted with assuming different values of shape parameter along with its application. © 2020 by the authors.
publisher: MDPI AG
date: 2020
type: Article
type: PeerReviewed
identifier:   Hussain, S.M. and Ur Rehman, A. and Baleanu, D. and Nisar, K.S. and Ghaffar, A. and Karim, S.A.A.  (2020) Generalized 5-point approximating subdivision scheme of varying arity.  Mathematics, 8 (4).   ISSN 22277390     
relation: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85084457644&doi=10.3390%2fmath8040474&partnerID=40&md5=659bb2f48d3af67a5a4c42be334d2113
relation: 10.3390/math8040474
identifier: 10.3390/math8040474