Error analysis for piecewise quadratic curve fitting algorithms

DOI10.1016/0167-8396(86)90038-5zbMath0614.65008OpenAlexW2149773219MaRDI QIDQ1819886

Zheng Yan, Ronald A. DeVore

Publication date: 1986

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-8396(86)90038-5

zbMATH Keywords

monotonicityconvexityconvergence orderquadratic splinesMR- algorithmpiecewise quadratic curve fitting algorithm

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10)

Related Items

Data visualization using rational spline interpolation, A one-pass algorithm for shape-preserving quadratic spline interpolation, Shape-preserving knot removal, Error estimation of a kind of rational spline, A shape-preserving spline interpolation for sampling designs from inverse distributions, Monotone and convex interpolation by weighted quadratic splines, Constrained control and approximation properties of a rational interpolating curve., Error analysis of the derivative of rational interpolation with a linear denominator, A new \(C^2\) rational interpolation based on function values and constrained control of the interpolant curves, A novel approach to the convexity control of interpolant curves, Circular Bernstein-Bézier spline approximation with knot removal, Monotone interpolation of scattered data in \({\mathbb{R}}^ s\), Visualization of positive and convex data by a rational cubic spline interpolation

Uses Software

• pchip

Cites Work

• A practical guide to splines
• On Shape Preserving Quadratic Spline Interpolation
• Monotone Piecewise Cubic Interpolation
• An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline
• A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures
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