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A Family of 4-Point <i>n</i>-Ary Interpolating Scheme Reproducing Conics

A Family of 4-Point <i>n</i>-Ary Interpolating Scheme Reproducing Conics
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摘要 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. 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.
出处 《American Journal of Computational Mathematics》 2013年第3期217-221,共5页 美国计算数学期刊(英文)
关键词 Interpolation NON-STATIONARY Univariate Ternary Refinement CONTINUITY CONIC Section Interpolation Non-Stationary Univariate Ternary Refinement Continuity Conic Section
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