An always successful method in univariate convex \(C^ 2\) interpolation
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Publication:1899120
DOI10.1007/s002110050143zbMath0860.65004OpenAlexW1983700516MaRDI QIDQ1899120
Publication date: 21 April 1997
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002110050143
Numerical computation using splines (65D07) Numerical interpolation (65D05) Spline approximation (41A15)
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Positive quartic, monotone quintic \(C^ 2\)-spline interpolation in one and two dimensions ⋮ Staircase algorithm and construction of convex spline interpolants up to the continuity \(C^3\) ⋮ Fair upper bounds for the curvature in univariate convex interpolation ⋮ Constructive methods in convex \(C^ 2\) interpolation using quartic splines ⋮ Cubic Hermite interpolation with minimal derivative oscillation ⋮ Shape-preserving piecewise rational interpolant with quartic numerator and quadratic denominator ⋮ Piecewise polynomial curves with normalized derivatives ⋮ Construction of superconvergent quasi-interpolants using new normalized \(C^2\) cubic B-splines ⋮ Approximation by shape preserving interpolation splines ⋮ Scattered data interpolation subject to piecewise quadratic range restrictions ⋮ A super-superconvergent cubic spline quasi-interpolant ⋮ Shape-preserving piecewise rational interpolation with higher order continuity ⋮ Convexity-preserving approximation by univariate cubic splines ⋮ Visual interpolation of data
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