Unification and Application of 3-point Approximating Subdivision Schemes of Varying Arity

Abdul Ghaffar, Ghulam Mustafa, Kaihuai Qin

Department of Mathematics The Islamia University of Bahawalpur Bahawalpur, PAKISTAN.
Dept. of Computer Science & Technology Tsinghua University Beijing 100084, P. R. CHINA.
epartment of Mathematics The Islamia University of Bahawalpur Bahawalpur, PAKISTAN.

DOI: 10.4236/ojapps.2012.24B012                

Abstract

In this paper, we propose and analyze a subdivision scheme which unifies 3-point approximating subdivision schemes of any arity in its compact form and has less support, computational cost and error bounds.  The usefulness of the scheme is illustrated by considering different examples along with its comparison with the established subdivision schemes. Moreover, B-splines of degree 4and well known 3-point schemes [1, 2, 3, 4, 6, 11, 12, 14, 15] are special cases of our proposed scheme.

Keywords

component; Approximating subdivision scheme; binary; ternary; a-ary; continuity and Laurent polynomial

Conflicts of Interest

The authors declare no conflicts of interest.

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