Knot calculation for spline fitting based on the unimodality property

DOI10.1016/j.cagd.2019.07.004OpenAlexW2966511685MaRDI QIDQ2010328

Jiaqi Luo, Hongmei Kang, Zhou-Wang Yang

Publication date: 27 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2019.07.004

zbMATH Keywords

least squares fittingspline fittingknot calculationsliding window algorithmunimodality property

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)

Related Items (5)

The unimodality of initial B-spline approximations in spline fitting ⋮ Knot Placement for B-Spline Curve Approximation via $L_{∞, 1}$-Norm and Differential Evolution Algorithm ⋮ Data approximation by \(L^1\) spline fits with free knots ⋮ Adaptive spline fitting with particle swarm optimization ⋮ A new deterministic heuristic knots placement for B-spline approximation

Uses Software

• FITPACK

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometrically designed, variable knot regression splines
• Knot removal for parametric B-spline curves and surfaces
• Least squares splines with free knots: Global optimization approach.
• Learnt knot placement in B-spline curve approximation using support vector machines
• A Data-Reduction Strategy for Splines with Applications to the Approximation of Functions and Data
• On the Best Least Squares Approximation of Continuous Functions using Linear Splines with Free Knots
• Splines (with optimal knots) are better
• Approximation to Data by Splines with Free Knots
• A practical guide to splines.

This page was built for publication: Knot calculation for spline fitting based on the unimodality property