Abdul Ghaffar^*, Ghulam Mustafa, Kaihuai Qin

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Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan.
Dept. of Computer Science & Technology, Tsinghua University, Beijing 100084, P. R. China.
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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.

Keywords: Approximating Subdivision Scheme; Binary; Ternary; α-Ary; Continuity; Convergence and Shape Parameters

Cite this paper: A. Ghaffar, G. Mustafa and K. Qin, "The 4-Point α-Ary Approximating Subdivision Scheme," Open Journal of Applied Sciences, Vol. 3 No. 1, 2013, pp. 106-111. doi: 10.4236/ojapps.2013.31B1022.

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