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

DOI: 10.4236/ajcm.2013.33031   PDF   HTML     2,958 Downloads   4,226 Views   Citations

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.

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M. Bari and G. Mustafa, "A Family of 4-Point n-Ary Interpolating Scheme Reproducing Conics," American Journal of Computational Mathematics, Vol. 3 No. 3, 2013, pp. 217-221. doi: 10.4236/ajcm.2013.33031.

Conflicts of Interest

The authors declare no conflicts of interest.

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