Optimal smoothing and interpolating splines with constraints

DOI10.1016/j.amc.2011.06.067zbMath1252.65034OpenAlexW2023977689MaRDI QIDQ654656

Clyde F. Martin, Hiroyuki Kano, Hiroyuki Fujioka

Publication date: 29 December 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.06.067

zbMATH Keywords

quadratic programmingnumerical examplesB-splinesequality/inequality constraintoptimal interpolating splinesoptimal smoothing splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Numerical interpolation (65D05)

Related Items (4)

Shape-preserving surfaces with constraints on tension parameters ⋮ Speed limit quasi splines and their application to interpolation with bounded first order derivative ⋮ Constrained data smoothing via optimal control ⋮ Penalized PCA approaches for B-spline expansions of smooth functional data

Cites Work

• Unnamed Item
• Unnamed Item
• Hilbert space methods for control theoretic splines: a unified treatment
• Splines and linear control theory
• Convergence and Gibbs' phenomenon in the cubic spline interpolation of discontinuous functions
• B-splines and control theory.
• Optimal curve fitting and smoothing using normalized uniform B-splines: a tool for studying complex systems
• Control theoretic smoothing splines
• Optimal control, statistics and path planning
• A practical guide to splines.

This page was built for publication: Optimal smoothing and interpolating splines with constraints