Spline smoothing under constraints on derivatives

DOI10.1007/BF01990532zbMath0796.65005OpenAlexW1999248476MaRDI QIDQ1314637

V. Pereyra

Publication date: 7 March 1994

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01990532

zbMATH Keywords

algorithmsmoothing splinesleast squares\(B\)-spline

Mathematics Subject Classification ID

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

Related Items (6)

Least squares approximation by splines with free knots ⋮ Shape preserving least-squares approximation by polynomial parametric spline curves ⋮ A general projection framework for constrained smoothing. ⋮ Constrained approximation by splines with free knots ⋮ Shape constrained smoothing using smoothing splines ⋮ Range restricted interpolation using Gregory's rational cubic splines

Cites Work

• Smoothing by spline functions. II
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• A dual algorithm for convex-concave data smoothing by cubic \(C^ 2\)- splines
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• Smoothing by spline functions.
• A general method for the construction of interpolating or smoothing spline-functions
• An Algorithm for the Regularization of Ill-Conditioned, Banded Least Squares Problems
• An Algorithm for Constrained Interpolation
• A Data-Reduction Strategy for Splines with Applications to the Approximation of Functions and Data
• Algorithm 552: Solution of the Constrained I ₁ Linear Approximation Problem [F4]
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