Article citationsMore>>

N. Dyn, “Analysis of Convergence and Smoothness by the Formalism of Laurent Polynomials,” In: A.Iske, E. Quak, M. S Floater (Eds), Tutorials on Multiresolution in Geometric Modelling, Springer, 2002, pp. 51-68. doi:10.1007/978-3-662-04388-2_3

has been cited by the following article:

• 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.