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N. Dyn and D. Levin, “Analysis of Asymptotically Equivalent Binary Subdivision Schemes,” Journal of Mathematical Analysis and Applications, Vol. 193, No. 2, 1995, pp. 594-621. doi:10.1006/jmaa.1995.1256

has been cited by the following article:

• TITLE: A Family of 4-Point n-Ary Interpolating Scheme Reproducing Conics

  AUTHORS: Mehwish Bari, Ghulam Mustafa

  KEYWORDS: Interpolation; Non-Stationary; Univariate Ternary Refinement; Continuity; Conic Section

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.3 No.3, August 21, 2013

  ABSTRACT: The n-ary subdivision schemes contrast favorably with their binary analogues because they are capable to produce limit functions with the same (or higher) smoothness but smaller support. We present an algorithm to generate the 4-point n-ary non-stationary scheme for trigonometric, hyperbolic and polynomial case with the parameter for describing curves. The performance, analysis and comparison of the 4-point ternary scheme are also presented.