TITLE:
The 4-Point α-Ary Approximating Subdivision Scheme
AUTHORS:
Abdul Ghaffar, Ghulam Mustafa, Kaihuai Qin
KEYWORDS:
Approximating Subdivision Scheme; Binary; Ternary; α-Ary; Continuity; Convergence and Shape Parameters
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.3 No.1B1,
July
12,
2013
ABSTRACT: A general formula for 4-point α-Ary approximating subdivision scheme for curve designing is introduced
for any arity α≥2. The new scheme is extension of B-spline of degree 6.
Laurent polynomial method is used to investigate the continuity of the scheme.
The variety of effects can be achieved in correspondence for different values
of parameter. The applications of the proposed scheme are illustrated in
comparison with the established subdivision schemes.