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• W2046965854 abstract "A family of piecewise rational quartic interpolants is given. Identified uniquely by the value of a tension parameter $lambda_i$, each interpolant of the family can be $C^2$ spline without solving a linear or nonlinear system of consistency equations for the derivative values at the knots. The interpolant can preserve the local convexity/concavity properties of the given data. A proper choice of $lambda_i$ to guarantee shape preservation is given. A convergence analysis establishes an error bound in terms of $lambda_i$ and shows that $O(h^3)$ accuracy is obtained for $C^2$ continuity. Several examples are supplied to support the practical value of the method." @default.
• W2046965854 created "2016-06-24" @default.
• W2046965854 creator A5053082670 @default.
• W2046965854 date "2008-01-01" @default.
• W2046965854 modified "2023-09-27" @default.
• W2046965854 title "Convexity-Preserving Piecewise Rational Quartic Interpolation" @default.
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• W2046965854 doi "https://doi.org/10.1137/060671577" @default.
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