An abstract formulation of variational refinement

DOI10.1016/j.jat.2004.07.006zbMath1074.41010OpenAlexW2088165157MaRDI QIDQ1764875

Scott N. Kersey

Publication date: 22 February 2005

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2004.07.006

zbMATH Keywords

subdivisionsabstract splinesvariational refinement

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation with constraints (41A29) Spline approximation (41A15)

Related Items (1)

Constrained variational refinement

Cites Work

• A variational approach to subdivision
• Hilbertian kernels and spline functions
• On pLg-splines
• Near-interpolation
• Variational interpolation of subsets
• The question of uniqueness for G.D. Birkhoff interpolation problems
• A satisfactory treatment of equality and operator constraints in the Dubovitskii-Milyutin optimization formalism
• Fonctions 'spline' definies sur un ensemble convexe
• A general method for the construction of interpolating or smoothing spline-functions
• Lectures on mathematical theory of extremum problems. Translated from the Russian by D. Louvish
• Best Near-Interpolation by Curves: Existence
• A Smoothest Curve Approximation
• Extremum problems in the presence of restrictions
• A Note on Obtaining Natural Spline Functions by the Abstract Approach of Atteia and Laurent
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