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A Family of 4-Point <i>n</i>-Ary Interpolating Scheme Reproducing Conics
Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan
Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan
- 1 Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan
- 2 Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan
American Journal of Computational Mathematics·Volume 03 (2013)·Pages 217–221·Published 14 August 2013·DOI10.4236/ajcm.2013.33031
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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.
KeywordsInterpolationNon-StationaryUnivariate Ternary RefinementContinuityConic Section
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