A novel approach to the convexity control of interpolant curves

DOI10.1002/cnm.634zbMath1031.65023OpenAlexW1991807895MaRDI QIDQ4434563

Qi Duan, E. H. Twizell, Liqiu Wang

Publication date: 10 November 2003

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.634

zbMATH Keywords

numerical exampleerror estimationconstrained interpolationcurve designrational splinepreserving convexity interpolation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (9)

Error estimation of a kind of rational spline ⋮ Point control of rational interpolating curves using parameters ⋮ Hermite interpolation by piecewise rational surface ⋮ Error analysis of the derivative of rational interpolation with a linear denominator ⋮ Region control and approximation of a weighted rational interpolating curves ⋮ A new \(C^2\) rational interpolation based on function values and constrained control of the interpolant curves ⋮ A bivariate rational interpolation and the properties ⋮ Local shape control of the rational interpolation curves with quadratic denominator ⋮ A new weighted rational cubic interpolation and its approximation

Uses Software

• pchip

Cites Work

• Positivity of cubic polynomials on intervals and positive spline interpolation
• Local control of interval tension using weighted splines
• Shape preserving interpolation by curvature continuous parametric curves
• On the choice of parameters in shape-preserving quadratic spline interpolation
• A survey on univariate data interpolation and approximation by splines of given shape
• Error analysis for piecewise quadratic curve fitting algorithms
• On Shape Preserving Quadratic Spline Interpolation
• Shape-Preserving Interpolation by Parametrically Defined Curves
• Monotone Piecewise Cubic Interpolation
• Piecewise Rational Quadratic Interpolation to Monotonic Data
• Algorithms for Computing Shape Preserving Spline Interpolations to Data
• Monotone and Convex Spline Interpolation
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