Constrained control and approximation properties of a rational interpolating curve.

DOI10.1016/S0020-0255(02)00409-7zbMath1040.65008OpenAlexW1965942945MaRDI QIDQ1425264

E. H. Twizell, Qi Duan, W. G. Price, K. Djidjeli

Publication date: 15 March 2004

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-0255(02)00409-7

zbMATH Keywords

error estimatesnumerical examplesrational interpolationconstrained approximationconvexity controlrational cubic splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Approximation by rational functions (41A20) Numerical interpolation (65D05) Spline approximation (41A15)

Related Items (4)

Shape-preserving polynomial interpolation scheme ⋮ Hermite interpolation by piecewise rational surface ⋮ Reconstruction of curves with minimal energy using a blending interpolator ⋮ Local shape control of the rational interpolation curves with quadratic denominator

Uses Software

• pchip

Cites Work

• Local control of interval tension using weighted splines
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• Positive interpolation with rational quadratic splines
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• Error analysis for piecewise quadratic curve fitting algorithms
• Generating the Bézier points of a \(\beta\)-spline curve
• On Shape Preserving Quadratic Spline Interpolation
• A Method for Constructing Local Monotone Piecewise Cubic Interpolants
• Shape-Preserving Interpolation by Parametrically Defined Curves
• Monotone Piecewise Cubic Interpolation
• An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline
• Piecewise Rational Quadratic Interpolation to Monotonic Data
• Algorithms for Computing Shape Preserving Spline Interpolations to Data
• Monotone and Convex Spline Interpolation
• Boundary-valued shape-preserving interpolating splines
• The approximation properties of some rational cubic splines
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