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

Mehwish Bari, Ghulam Mustafa

Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan.

DOI: 10.4236/ajcm.2013.33031                

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.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

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