Error estimation of a kind of rational spline

DOI10.1016/j.cam.2005.12.007zbMath1106.41009OpenAlexW2050193288MaRDI QIDQ859856

Yunfeng Zhang, E. H. Twizell, Huanling Zhang, Qi Duan

Publication date: 22 January 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.12.007

zbMATH Keywords

interpolationerror analysisrational spline

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05) Spline approximation (41A15)

Related Items (10)

Shape preserving curves using quadratic trigonometric splines ⋮ \(C^1\) rational quadratic trigonometric interpolation spline for data visualization ⋮ Positivity preserving rational quartic spline zipper fractal interpolation functions ⋮ Positive data visualization using trigonometric function ⋮ The EH interpolation spline and its approximation ⋮ \(C^2\) positivity-preserving rational interpolation splines in one and two dimensions ⋮ Positive data modeling using spline function ⋮ Shape-preserving positive trigonometric spline curves ⋮ Shape-preserving trigonometric functions ⋮ Positivity and monotonicity preserving biquartic rational interpolation spline surface

Uses Software

• pchip

Cites Work

• Shape preserving interpolation by curvature continuous parametric curves
• Positive interpolation with rational quadratic splines
• On the choice of parameters in shape-preserving quadratic spline interpolation
• A survey on univariate data interpolation and approximation by splines of given shape
• A practical guide to splines
• Weighted rational cubic spline interpolation and its application
• Error analysis for piecewise quadratic curve fitting algorithms
• A Method for Constructing Local Monotone Piecewise Cubic Interpolants
• An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline
• Piecewise Rational Quadratic Interpolation to Monotonic Data
• A novel approach to the convexity control of interpolant curves
• The approximation properties of some rational cubic splines
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