Algorithms for computing shape-preserving spline approximations to data

DOI10.1007/BF01390417zbMath0533.41003OpenAlexW2077578730MaRDI QIDQ789625

S. L. Dodd, D. F. McAllister

Publication date: 1985

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132989

zbMATH Keywords

algorithmspolynomial splineshape-preserving approximant

Mathematics Subject Classification ID

Approximation with constraints (41A29) Spline approximation (41A15) Algorithms for approximation of functions (65D15)

Related Items (8)

Quadratic and related exponential splines in shape preserving interpolation ⋮ An unconstrained dual program for computing convex \(C^ 1\)-spline approximants ⋮ Shape preserving approximations by polynomials and splines ⋮ A dual algorithm for convex-concave data smoothing by cubic \(C^ 2\)- splines ⋮ A survey on univariate data interpolation and approximation by splines of given shape ⋮ Monotone interpolation of scattered data in \({\mathbb{R}}^ s\) ⋮ Convexity-preserving interpolatory subdivision ⋮ Convex interval interpolation with cubic splines. II

Cites Work

• Isotonic, convex and related splines
• Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
• Automatic Curve Fitting Using an Adaptive Local Algorithm
• Degree of $L_p$ Approximation by Monotone Splines
• Convex Approximation by Splines
• An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline
• Algorithms for Computing Shape Preserving Spline Interpolations to Data
• Interpolation by Convex Quadratic Splines

This page was built for publication: Algorithms for computing shape-preserving spline approximations to data